TSTP Solution File: SET726+4 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET726+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.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 00:21:40 EDT 2022
% Result : Theorem 24.56s 6.59s
% Output : Proof 47.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET726+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.32 % Computer : n026.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 Jul 10 10:45:41 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.60/0.62 ____ _
% 0.60/0.62 ___ / __ \_____(_)___ ________ __________
% 0.60/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.60/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.60/0.62
% 0.60/0.62 A Theorem Prover for First-Order Logic
% 0.60/0.62 (ePrincess v.1.0)
% 0.60/0.62
% 0.60/0.62 (c) Philipp Rümmer, 2009-2015
% 0.60/0.62 (c) Peter Backeman, 2014-2015
% 0.60/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.62 Bug reports to peter@backeman.se
% 0.60/0.62
% 0.60/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.62
% 0.60/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.62/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.03/1.10 Prover 0: Preprocessing ...
% 3.63/1.58 Prover 0: Warning: ignoring some quantifiers
% 3.63/1.62 Prover 0: Constructing countermodel ...
% 5.61/2.03 Prover 0: gave up
% 5.61/2.03 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 6.19/2.12 Prover 1: Preprocessing ...
% 7.59/2.51 Prover 1: Constructing countermodel ...
% 19.06/5.24 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 19.51/5.30 Prover 2: Preprocessing ...
% 20.88/5.65 Prover 2: Warning: ignoring some quantifiers
% 20.88/5.67 Prover 2: Constructing countermodel ...
% 24.56/6.58 Prover 2: proved (1342ms)
% 24.56/6.58 Prover 1: stopped
% 24.56/6.58
% 24.56/6.59 No countermodel exists, formula is valid
% 24.56/6.59 % SZS status Theorem for theBenchmark
% 24.56/6.59
% 24.56/6.59 Generating proof ... Warning: ignoring some quantifiers
% 45.73/13.41 found it (size 143)
% 45.73/13.41
% 45.73/13.41 % SZS output start Proof for theBenchmark
% 45.73/13.41 Assumed formulas after preprocessing and simplification:
% 45.73/13.41 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & inverse_function(v0, v3, v4) = v7 & identity(v6, v4) = 0 & identity(v5, v3) = 0 & equal_maps(v7, v1, v4, v3) = v8 & compose_function(v1, v0, v3, v4, v3) = v5 & compose_function(v0, v2, v4, v3, v4) = v6 & maps(v2, v4, v3) = 0 & maps(v1, v4, v3) = 0 & maps(v0, v3, v4) = 0 & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v15, v17) = v18) | ~ (apply(v11, v14, v16) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v15, v17) = 0) | ~ (apply(v11, v14, v16) = v18) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v17, v15) = v18) | ~ (apply(v11, v14, v16) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v17, v15) = v18) | ~ (apply(v9, v16, v17) = 0) | ~ (member(v14, v10) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v11, v14, v16) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v17, v15) = v18) | ~ (apply(v9, v14, v15) = 0) | ~ (member(v16, v10) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v11, v14, v16) = v19) | ( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v17, v15) = v18) | ~ (member(v16, v10) = 0) | ~ (member(v14, v10) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v11, v14, v16) = v19) | ( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v15, v17) = v18) | ~ (apply(v11, v14, v16) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v15, v17) = v18) | ~ (apply(v9, v16, v17) = 0) | ~ (member(v14, v10) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v11, v14, v16) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v15, v17) = v18) | ~ (apply(v9, v14, v15) = 0) | ~ (member(v16, v10) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v11, v14, v16) = v19) | ( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = 0 | ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v15, v17) = v18) | ~ (member(v16, v10) = 0) | ~ (member(v14, v10) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v11, v14, v16) = v19) | ( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (compose_function(v9, v10, v11, v12, v13) = v16) | ~ (apply(v16, v14, v15) = v17) | ~ (apply(v10, v14, v18) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v18, v15) = v19) | ( ~ (v19 = 0) & member(v18, v12) = v19) | ( ~ (v19 = 0) & member(v15, v13) = v19) | ( ~ (v19 = 0) & member(v14, v11) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (compose_function(v9, v10, v11, v12, v13) = v16) | ~ (apply(v16, v14, v15) = v17) | ~ (apply(v9, v18, v15) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v10, v14, v18) = v19) | ( ~ (v19 = 0) & member(v18, v12) = v19) | ( ~ (v19 = 0) & member(v15, v13) = v19) | ( ~ (v19 = 0) & member(v14, v11) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (compose_function(v9, v10, v11, v12, v13) = v16) | ~ (apply(v16, v14, v15) = v17) | ~ (member(v18, v12) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v10, v14, v18) = v19) | ( ~ (v19 = 0) & apply(v9, v18, v15) = v19) | ( ~ (v19 = 0) & member(v15, v13) = v19) | ( ~ (v19 = 0) & member(v14, v11) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (compose_predicate(v9, v10, v11, v12, v13, v14) = 0) | ~ (apply(v11, v15, v18) = 0) | ~ (apply(v9, v15, v16) = v17) | ? [v19] : (( ~ (v19 = 0) & apply(v10, v18, v16) = v19) | ( ~ (v19 = 0) & member(v18, v13) = v19) | ( ~ (v19 = 0) & member(v16, v14) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (compose_predicate(v9, v10, v11, v12, v13, v14) = 0) | ~ (apply(v10, v18, v16) = 0) | ~ (apply(v9, v15, v16) = v17) | ? [v19] : (( ~ (v19 = 0) & apply(v11, v15, v18) = v19) | ( ~ (v19 = 0) & member(v18, v13) = v19) | ( ~ (v19 = 0) & member(v16, v14) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = 0 | ~ (compose_predicate(v9, v10, v11, v12, v13, v14) = 0) | ~ (apply(v9, v15, v16) = v17) | ~ (member(v18, v13) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v11, v15, v18) = v19) | ( ~ (v19 = 0) & apply(v10, v18, v16) = v19) | ( ~ (v19 = 0) & member(v16, v14) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v15, v17) = v18) | ~ (apply(v9, v16, v17) = 0) | ~ (member(v14, v10) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | (( ~ (v18 = 0) | (v19 = 0 & apply(v11, v14, v16) = 0)) & (v18 = 0 | ( ~ (v19 = 0) & apply(v11, v14, v16) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v15, v17) = v18) | ~ (apply(v9, v14, v15) = 0) | ~ (member(v16, v10) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19) | (( ~ (v18 = 0) | (v19 = 0 & apply(v11, v14, v16) = 0)) & (v18 = 0 | ( ~ (v19 = 0) & apply(v11, v14, v16) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v13, v15, v17) = v18) | ~ (member(v16, v10) = 0) | ~ (member(v14, v10) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | (( ~ (v18 = 0) | (v19 = 0 & apply(v11, v14, v16) = 0)) & (v18 = 0 | ( ~ (v19 = 0) & apply(v11, v14, v16) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = v18) | ~ (apply(v9, v16, v17) = 0) | ~ (member(v15, v12) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v17, v12) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19) | (( ~ (v18 = 0) | (v19 = 0 & apply(v13, v15, v17) = 0)) & (v18 = 0 | ( ~ (v19 = 0) & apply(v13, v15, v17) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = v18) | ~ (apply(v9, v14, v15) = 0) | ~ (member(v17, v12) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v15, v12) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19) | (( ~ (v18 = 0) | (v19 = 0 & apply(v13, v15, v17) = 0)) & (v18 = 0 | ( ~ (v19 = 0) & apply(v13, v15, v17) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = v18) | ~ (member(v17, v12) = 0) | ~ (member(v15, v12) = 0) | ? [v19] : (( ~ (v19 = 0) & apply(v9, v16, v17) = v19) | ( ~ (v19 = 0) & apply(v9, v14, v15) = v19) | ( ~ (v19 = 0) & member(v16, v10) = v19) | ( ~ (v19 = 0) & member(v14, v10) = v19) | (( ~ (v18 = 0) | (v19 = 0 & apply(v13, v15, v17) = 0)) & (v18 = 0 | ( ~ (v19 = 0) & apply(v13, v15, v17) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v16, v17) = 0) | ~ (apply(v9, v14, v15) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | ( ~ (v18 = 0) & member(v15, v12) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18) | (((v19 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18)) & ((v18 = 0 & apply(v11, v14, v16) = 0) | ( ~ (v19 = 0) & apply(v13, v15, v17) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v16, v17) = 0) | ~ (member(v15, v12) = 0) | ~ (member(v14, v10) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & apply(v9, v14, v15) = v18) | ( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | (((v19 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18)) & ((v18 = 0 & apply(v11, v14, v16) = 0) | ( ~ (v19 = 0) & apply(v13, v15, v17) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v14, v15) = 0) | ~ (member(v17, v12) = 0) | ~ (member(v16, v10) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & member(v15, v12) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18) | (((v19 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18)) & ((v18 = 0 & apply(v11, v14, v16) = 0) | ( ~ (v19 = 0) & apply(v13, v15, v17) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | ~ (member(v17, v12) = 0) | ~ (member(v16, v10) = 0) | ~ (member(v15, v12) = 0) | ~ (member(v14, v10) = 0) | ? [v18] : ? [v19] : (( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & apply(v9, v14, v15) = v18) | (((v19 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18)) & ((v18 = 0 & apply(v11, v14, v16) = 0) | ( ~ (v19 = 0) & apply(v13, v15, v17) = v19))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (apply(v9, v16, v17) = 0) | ~ (member(v15, v12) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v17, v15) = 0) | ( ~ (v18 = 0) & apply(v9, v14, v15) = v18) | ( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (apply(v9, v14, v15) = 0) | ~ (member(v17, v12) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v17, v15) = 0) | ( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | ( ~ (v18 = 0) & member(v15, v12) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (member(v17, v12) = 0) | ~ (member(v15, v12) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v17, v15) = 0) | ( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & apply(v9, v14, v15) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v16, v17) = 0) | ~ (apply(v9, v14, v15) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v17, v15) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18) | ( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | ( ~ (v18 = 0) & member(v15, v12) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v16, v17) = 0) | ~ (member(v15, v12) = 0) | ~ (member(v14, v10) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v17, v15) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18) | ( ~ (v18 = 0) & apply(v9, v14, v15) = v18) | ( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v14, v15) = 0) | ~ (member(v17, v12) = 0) | ~ (member(v16, v10) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v17, v15) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18) | ( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & member(v15, v12) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (decreasing(v9, v10, v11, v12, v13) = 0) | ~ (member(v17, v12) = 0) | ~ (member(v16, v10) = 0) | ~ (member(v15, v12) = 0) | ~ (member(v14, v10) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v17, v15) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18) | ( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & apply(v9, v14, v15) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (apply(v9, v16, v17) = 0) | ~ (member(v15, v12) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v9, v14, v15) = v18) | ( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (apply(v9, v14, v15) = 0) | ~ (member(v17, v12) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | ( ~ (v18 = 0) & member(v15, v12) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (member(v17, v12) = 0) | ~ (member(v15, v12) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & apply(v9, v14, v15) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v16, v17) = 0) | ~ (apply(v9, v14, v15) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18) | ( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18) | ( ~ (v18 = 0) & member(v15, v12) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v16, v17) = 0) | ~ (member(v15, v12) = 0) | ~ (member(v14, v10) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18) | ( ~ (v18 = 0) & apply(v9, v14, v15) = v18) | ( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v16, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v14, v15) = 0) | ~ (member(v17, v12) = 0) | ~ (member(v16, v10) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18) | ( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & member(v15, v12) = v18) | ( ~ (v18 = 0) & member(v14, v10) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (increasing(v9, v10, v11, v12, v13) = 0) | ~ (member(v17, v12) = 0) | ~ (member(v16, v10) = 0) | ~ (member(v15, v12) = 0) | ~ (member(v14, v10) = 0) | ? [v18] : ((v18 = 0 & apply(v13, v15, v17) = 0) | ( ~ (v18 = 0) & apply(v11, v14, v16) = v18) | ( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ~ (v18 = 0) & apply(v9, v14, v15) = v18))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v10 = v9 | ~ (compose_predicate(v16, v15, v14, v13, v12, v11) = v10) | ~ (compose_predicate(v16, v15, v14, v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (compose_function(v9, v10, v11, v12, v13) = v16) | ~ (apply(v16, v14, v15) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v20 = 0 & v19 = 0 & v18 = 0 & apply(v10, v14, v17) = 0 & apply(v9, v17, v15) = 0 & member(v17, v12) = 0) | ( ~ (v17 = 0) & member(v15, v13) = v17) | ( ~ (v17 = 0) & member(v14, v11) = v17))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (compose_predicate(v9, v10, v11, v12, v13, v14) = 0) | ~ (apply(v9, v15, v16) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v20 = 0 & v19 = 0 & v18 = 0 & apply(v11, v15, v17) = 0 & apply(v10, v17, v16) = 0 & member(v17, v13) = 0) | ( ~ (v17 = 0) & member(v16, v14) = v17) | ( ~ (v17 = 0) & member(v15, v12) = v17))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (equal_maps(v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = 0) | ~ (apply(v9, v13, v14) = 0) | ? [v16] : (( ~ (v16 = 0) & member(v15, v12) = v16) | ( ~ (v16 = 0) & member(v14, v12) = v16) | ( ~ (v16 = 0) & member(v13, v11) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (equal_maps(v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = 0) | ~ (member(v14, v12) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v9, v13, v14) = v16) | ( ~ (v16 = 0) & member(v15, v12) = v16) | ( ~ (v16 = 0) & member(v13, v11) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (equal_maps(v9, v10, v11, v12) = 0) | ~ (apply(v9, v13, v14) = 0) | ~ (member(v15, v12) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v10, v13, v15) = v16) | ( ~ (v16 = 0) & member(v14, v12) = v16) | ( ~ (v16 = 0) & member(v13, v11) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (equal_maps(v9, v10, v11, v12) = 0) | ~ (member(v15, v12) = 0) | ~ (member(v14, v12) = 0) | ~ (member(v13, v11) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v10, v13, v15) = v16) | ( ~ (v16 = 0) & apply(v9, v13, v14) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (compose_predicate(v9, v10, v11, v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (member(v17, v14) = 0 & member(v16, v12) = 0 & ((v22 = 0 & v21 = 0 & v20 = 0 & apply(v11, v16, v19) = 0 & apply(v10, v19, v17) = 0 & member(v19, v13) = 0) | (v18 = 0 & apply(v9, v16, v17) = 0)) & (( ~ (v18 = 0) & apply(v9, v16, v17) = v18) | ( ! [v23] : ( ~ (apply(v11, v16, v23) = 0) | ? [v24] : (( ~ (v24 = 0) & apply(v10, v23, v17) = v24) | ( ~ (v24 = 0) & member(v23, v13) = v24))) & ! [v23] : ( ~ (apply(v10, v23, v17) = 0) | ? [v24] : (( ~ (v24 = 0) & apply(v11, v16, v23) = v24) | ( ~ (v24 = 0) & member(v23, v13) = v24))) & ! [v23] : ( ~ (member(v23, v13) = 0) | ? [v24] : (( ~ (v24 = 0) & apply(v11, v16, v23) = v24) | ( ~ (v24 = 0) & apply(v10, v23, v17) = v24))))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (inverse_image3(v9, v10, v11) = v13) | ~ (apply(v9, v12, v15) = 0) | ~ (member(v12, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & member(v15, v10) = v16) | ( ~ (v16 = 0) & member(v12, v11) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (inverse_image3(v9, v10, v11) = v13) | ~ (member(v15, v10) = 0) | ~ (member(v12, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & apply(v9, v12, v15) = v16) | ( ~ (v16 = 0) & member(v12, v11) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (image3(v9, v10, v11) = v13) | ~ (apply(v9, v15, v12) = 0) | ~ (member(v12, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & member(v15, v10) = v16) | ( ~ (v16 = 0) & member(v12, v11) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (image3(v9, v10, v11) = v13) | ~ (member(v15, v10) = 0) | ~ (member(v12, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & apply(v9, v15, v12) = v16) | ( ~ (v16 = 0) & member(v12, v11) = v16))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v10 = v9 | ~ (isomorphism(v15, v14, v13, v12, v11) = v10) | ~ (isomorphism(v15, v14, v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v10 = v9 | ~ (decreasing(v15, v14, v13, v12, v11) = v10) | ~ (decreasing(v15, v14, v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v10 = v9 | ~ (increasing(v15, v14, v13, v12, v11) = v10) | ~ (increasing(v15, v14, v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v10 = v9 | ~ (compose_function(v15, v14, v13, v12, v11) = v10) | ~ (compose_function(v15, v14, v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inverse_function(v9, v10, v11) = v14) | ~ (apply(v14, v13, v12) = v15) | ? [v16] : (( ~ (v16 = 0) & member(v13, v11) = v16) | ( ~ (v16 = 0) & member(v12, v10) = v16) | (( ~ (v15 = 0) | (v16 = 0 & apply(v9, v12, v13) = 0)) & (v15 = 0 | ( ~ (v16 = 0) & apply(v9, v12, v13) = v16))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inverse_predicate(v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v14) = v15) | ? [v16] : (( ~ (v16 = 0) & member(v14, v12) = v16) | ( ~ (v16 = 0) & member(v13, v11) = v16) | (( ~ (v15 = 0) | (v16 = 0 & apply(v9, v14, v13) = 0)) & (v15 = 0 | ( ~ (v16 = 0) & apply(v9, v14, v13) = v16))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inverse_predicate(v9, v10, v11, v12) = 0) | ~ (apply(v9, v14, v13) = v15) | ? [v16] : (( ~ (v16 = 0) & member(v14, v12) = v16) | ( ~ (v16 = 0) & member(v13, v11) = v16) | (( ~ (v15 = 0) | (v16 = 0 & apply(v10, v13, v14) = 0)) & (v15 = 0 | ( ~ (v16 = 0) & apply(v10, v13, v14) = v16))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (maps(v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (apply(v9, v12, v13) = 0) | ? [v15] : (( ~ (v15 = 0) & member(v14, v11) = v15) | ( ~ (v15 = 0) & member(v13, v11) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (maps(v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (member(v13, v11) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v9, v12, v13) = v15) | ( ~ (v15 = 0) & member(v14, v11) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (maps(v9, v10, v11) = 0) | ~ (apply(v9, v12, v13) = 0) | ~ (member(v14, v11) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v9, v12, v14) = v15) | ( ~ (v15 = 0) & member(v13, v11) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (maps(v9, v10, v11) = 0) | ~ (member(v14, v11) = 0) | ~ (member(v13, v11) = 0) | ~ (member(v12, v10) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v9, v12, v14) = v15) | ( ~ (v15 = 0) & apply(v9, v12, v13) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (isomorphism(v9, v10, v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & apply(v9, v17, v18) = 0 & apply(v9, v15, v16) = 0 & member(v18, v12) = 0 & member(v17, v10) = 0 & member(v16, v12) = 0 & member(v15, v10) = 0 & ((v26 = 0 & apply(v13, v16, v18) = 0) | (v25 = 0 & apply(v11, v15, v17) = 0)) & (( ~ (v26 = 0) & apply(v13, v16, v18) = v26) | ( ~ (v25 = 0) & apply(v11, v15, v17) = v25))) | ( ~ (v15 = 0) & one_to_one(v9, v10, v12) = v15) | ( ~ (v15 = 0) & maps(v9, v10, v12) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (decreasing(v9, v10, v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ( ~ (v19 = 0) & apply(v13, v18, v16) = v19 & apply(v11, v15, v17) = 0 & apply(v9, v17, v18) = 0 & apply(v9, v15, v16) = 0 & member(v18, v12) = 0 & member(v17, v10) = 0 & member(v16, v12) = 0 & member(v15, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (increasing(v9, v10, v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ( ~ (v19 = 0) & apply(v13, v16, v18) = v19 & apply(v11, v15, v17) = 0 & apply(v9, v17, v18) = 0 & apply(v9, v15, v16) = 0 & member(v18, v12) = 0 & member(v17, v10) = 0 & member(v16, v12) = 0 & member(v15, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (injective(v9, v10, v11) = 0) | ~ (apply(v9, v13, v14) = 0) | ~ (apply(v9, v12, v14) = 0) | ? [v15] : (( ~ (v15 = 0) & member(v14, v11) = v15) | ( ~ (v15 = 0) & member(v13, v10) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (injective(v9, v10, v11) = 0) | ~ (apply(v9, v13, v14) = 0) | ~ (member(v12, v10) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v9, v12, v14) = v15) | ( ~ (v15 = 0) & member(v14, v11) = v15) | ( ~ (v15 = 0) & member(v13, v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (injective(v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (member(v13, v10) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v9, v13, v14) = v15) | ( ~ (v15 = 0) & member(v14, v11) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (injective(v9, v10, v11) = 0) | ~ (member(v14, v11) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v10) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v9, v13, v14) = v15) | ( ~ (v15 = 0) & apply(v9, v12, v14) = v15))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (inverse_image2(v9, v10) = v12) | ~ (apply(v9, v11, v14) = 0) | ~ (member(v11, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & member(v14, v10) = v15)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (inverse_image2(v9, v10) = v12) | ~ (member(v14, v10) = 0) | ~ (member(v11, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & apply(v9, v11, v14) = v15)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (image2(v9, v10) = v12) | ~ (apply(v9, v14, v11) = 0) | ~ (member(v11, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & member(v14, v10) = v15)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (image2(v9, v10) = v12) | ~ (member(v14, v10) = 0) | ~ (member(v11, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & apply(v9, v14, v11) = v15)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v10 = v9 | ~ (inverse_predicate(v14, v13, v12, v11) = v10) | ~ (inverse_predicate(v14, v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v10 = v9 | ~ (equal_maps(v14, v13, v12, v11) = v10) | ~ (equal_maps(v14, v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (inverse_predicate(v9, v10, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (member(v15, v12) = 0 & member(v14, v11) = 0 & ((v17 = 0 & apply(v9, v15, v14) = 0) | (v16 = 0 & apply(v10, v14, v15) = 0)) & (( ~ (v17 = 0) & apply(v9, v15, v14) = v17) | ( ~ (v16 = 0) & apply(v10, v14, v15) = v16)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (equal_maps(v9, v10, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = v15) & apply(v10, v14, v16) = 0 & apply(v9, v14, v15) = 0 & member(v16, v12) = 0 & member(v15, v12) = 0 & member(v14, v11) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (product(v10) = v11) | ~ (member(v9, v12) = v13) | ~ (member(v9, v11) = 0) | ? [v14] : ( ~ (v14 = 0) & member(v12, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (difference(v11, v10) = v12) | ~ (member(v9, v12) = v13) | ? [v14] : ((v14 = 0 & member(v9, v10) = 0) | ( ~ (v14 = 0) & member(v9, v11) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (union(v10, v11) = v12) | ~ (member(v9, v12) = v13) | ? [v14] : ? [v15] : ( ~ (v15 = 0) & ~ (v14 = 0) & member(v9, v11) = v15 & member(v9, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (intersection(v10, v11) = v12) | ~ (member(v9, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & member(v9, v11) = v14) | ( ~ (v14 = 0) & member(v9, v10) = v14))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (sum(v10) = v11) | ~ (member(v13, v10) = 0) | ~ (member(v9, v11) = v12) | ? [v14] : ( ~ (v14 = 0) & member(v9, v13) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (sum(v10) = v11) | ~ (member(v9, v13) = 0) | ~ (member(v9, v11) = v12) | ? [v14] : ( ~ (v14 = 0) & member(v13, v10) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (inverse_image3(v13, v12, v11) = v10) | ~ (inverse_image3(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (image3(v13, v12, v11) = v10) | ~ (image3(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (inverse_function(v13, v12, v11) = v10) | ~ (inverse_function(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (one_to_one(v13, v12, v11) = v10) | ~ (one_to_one(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (surjective(v13, v12, v11) = v10) | ~ (surjective(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (injective(v13, v12, v11) = v10) | ~ (injective(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (maps(v13, v12, v11) = v10) | ~ (maps(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v10 = v9 | ~ (apply(v13, v12, v11) = v10) | ~ (apply(v13, v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (isomorphism(v9, v10, v11, v12, v13) = 0) | (one_to_one(v9, v10, v12) = 0 & maps(v9, v10, v12) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (inverse_image3(v9, v10, v11) = v13) | ~ (member(v12, v13) = 0) | member(v12, v11) = 0) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (inverse_image3(v9, v10, v11) = v13) | ~ (member(v12, v13) = 0) | ? [v14] : (apply(v9, v12, v14) = 0 & member(v14, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (image3(v9, v10, v11) = v13) | ~ (member(v12, v13) = 0) | member(v12, v11) = 0) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (image3(v9, v10, v11) = v13) | ~ (member(v12, v13) = 0) | ? [v14] : (apply(v9, v14, v12) = 0 & member(v14, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (one_to_one(v9, v10, v11) = v12) | ? [v13] : (( ~ (v13 = 0) & surjective(v9, v10, v11) = v13) | ( ~ (v13 = 0) & injective(v9, v10, v11) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (surjective(v9, v10, v11) = v12) | ? [v13] : (member(v13, v11) = 0 & ! [v14] : ( ~ (apply(v9, v14, v13) = 0) | ? [v15] : ( ~ (v15 = 0) & member(v14, v10) = v15)) & ! [v14] : ( ~ (member(v14, v10) = 0) | ? [v15] : ( ~ (v15 = 0) & apply(v9, v14, v13) = v15)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (injective(v9, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ( ~ (v14 = v13) & apply(v9, v14, v15) = 0 & apply(v9, v13, v15) = 0 & member(v15, v11) = 0 & member(v14, v10) = 0 & member(v13, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (identity(v9, v10) = 0) | ~ (apply(v9, v11, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & member(v11, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (maps(v9, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ((v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & ~ (v15 = v14) & apply(v9, v13, v15) = 0 & apply(v9, v13, v14) = 0 & member(v15, v11) = 0 & member(v14, v11) = 0 & member(v13, v10) = 0) | (v14 = 0 & member(v13, v10) = 0 & ! [v21] : ( ~ (apply(v9, v13, v21) = 0) | ? [v22] : ( ~ (v22 = 0) & member(v21, v11) = v22)) & ! [v21] : ( ~ (member(v21, v11) = 0) | ? [v22] : ( ~ (v22 = 0) & apply(v9, v13, v21) = v22))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (product(v10) = v11) | ~ (member(v9, v11) = v12) | ? [v13] : ? [v14] : ( ~ (v14 = 0) & member(v13, v10) = 0 & member(v9, v13) = v14)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (unordered_pair(v10, v9) = v11) | ~ (member(v9, v11) = v12)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (unordered_pair(v9, v10) = v11) | ~ (member(v9, v11) = v12)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (power_set(v10) = v11) | ~ (member(v9, v11) = v12) | ? [v13] : ( ~ (v13 = 0) & subset(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (subset(v9, v10) = 0) | ~ (member(v11, v10) = v12) | ? [v13] : ( ~ (v13 = 0) & member(v11, v9) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = v9 | v10 = v9 | ~ (unordered_pair(v10, v11) = v12) | ~ (member(v9, v12) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (inverse_image2(v12, v11) = v10) | ~ (inverse_image2(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (image2(v12, v11) = v10) | ~ (image2(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (identity(v12, v11) = v10) | ~ (identity(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (unordered_pair(v12, v11) = v10) | ~ (unordered_pair(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (difference(v12, v11) = v10) | ~ (difference(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (union(v12, v11) = v10) | ~ (union(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (intersection(v12, v11) = v10) | ~ (intersection(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (equal_set(v12, v11) = v10) | ~ (equal_set(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (subset(v12, v11) = v10) | ~ (subset(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v9 | ~ (member(v12, v11) = v10) | ~ (member(v12, v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (inverse_image2(v9, v10) = v12) | ~ (member(v11, v12) = 0) | ? [v13] : (apply(v9, v11, v13) = 0 & member(v13, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (image2(v9, v10) = v12) | ~ (member(v11, v12) = 0) | ? [v13] : (apply(v9, v13, v11) = 0 & member(v13, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (surjective(v9, v10, v11) = v12) | ? [v13] : ((v13 = 0 & v12 = 0 & injective(v9, v10, v11) = 0) | ( ~ (v13 = 0) & one_to_one(v9, v10, v11) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (surjective(v9, v10, v11) = 0) | ~ (member(v12, v11) = 0) | ? [v13] : (apply(v9, v13, v12) = 0 & member(v13, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (injective(v9, v10, v11) = v12) | ? [v13] : ((v13 = 0 & v12 = 0 & surjective(v9, v10, v11) = 0) | ( ~ (v13 = 0) & one_to_one(v9, v10, v11) = v13))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (maps(v9, v10, v11) = 0) | ~ (member(v12, v10) = 0) | ? [v13] : (apply(v9, v12, v13) = 0 & member(v13, v11) = 0)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (product(v10) = v11) | ~ (member(v12, v10) = 0) | ~ (member(v9, v11) = 0) | member(v9, v12) = 0) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (difference(v11, v10) = v12) | ~ (member(v9, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & member(v9, v11) = 0 & member(v9, v10) = v13)) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (union(v10, v11) = v12) | ~ (member(v9, v12) = 0) | ? [v13] : ((v13 = 0 & member(v9, v11) = 0) | (v13 = 0 & member(v9, v10) = 0))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (intersection(v10, v11) = v12) | ~ (member(v9, v12) = 0) | (member(v9, v11) = 0 & member(v9, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (identity(v9, v10) = v11) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & apply(v9, v12, v12) = v13 & member(v12, v10) = 0)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (singleton(v9) = v10) | ~ (member(v9, v10) = v11)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (equal_set(v9, v10) = v11) | ? [v12] : (( ~ (v12 = 0) & subset(v10, v9) = v12) | ( ~ (v12 = 0) & subset(v9, v10) = v12))) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (subset(v9, v10) = v11) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & power_set(v10) = v12 & member(v9, v12) = v13)) & ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (subset(v9, v10) = v11) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & member(v12, v10) = v13 & member(v12, v9) = 0)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (product(v11) = v10) | ~ (product(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (sum(v11) = v10) | ~ (sum(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (singleton(v11) = v10) | ~ (singleton(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (singleton(v10) = v11) | ~ (member(v9, v11) = 0)) & ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (power_set(v11) = v10) | ~ (power_set(v11) = v9)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (one_to_one(v9, v10, v11) = 0) | (surjective(v9, v10, v11) = 0 & injective(v9, v10, v11) = 0)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (surjective(v9, v10, v11) = 0) | ? [v12] : ((v12 = 0 & one_to_one(v9, v10, v11) = 0) | ( ~ (v12 = 0) & injective(v9, v10, v11) = v12))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (injective(v9, v10, v11) = 0) | ? [v12] : ((v12 = 0 & one_to_one(v9, v10, v11) = 0) | ( ~ (v12 = 0) & surjective(v9, v10, v11) = v12))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (identity(v9, v10) = 0) | ~ (member(v11, v10) = 0) | apply(v9, v11, v11) = 0) & ! [v9] : ! [v10] : ! [v11] : ( ~ (sum(v10) = v11) | ~ (member(v9, v11) = 0) | ? [v12] : (member(v12, v10) = 0 & member(v9, v12) = 0)) & ! [v9] : ! [v10] : ! [v11] : ( ~ (power_set(v10) = v11) | ~ (member(v9, v11) = 0) | subset(v9, v10) = 0) & ! [v9] : ! [v10] : ! [v11] : ( ~ (subset(v10, v9) = v11) | ? [v12] : ((v12 = 0 & v11 = 0 & subset(v9, v10) = 0) | ( ~ (v12 = 0) & equal_set(v9, v10) = v12))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (subset(v9, v10) = v11) | ? [v12] : ((v12 = 0 & v11 = 0 & subset(v10, v9) = 0) | ( ~ (v12 = 0) & equal_set(v9, v10) = v12))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (subset(v9, v10) = 0) | ~ (member(v11, v9) = 0) | member(v11, v10) = 0) & ! [v9] : ! [v10] : ( ~ (equal_set(v9, v10) = 0) | (subset(v10, v9) = 0 & subset(v9, v10) = 0)) & ! [v9] : ! [v10] : ( ~ (subset(v10, v9) = 0) | ? [v11] : ((v11 = 0 & equal_set(v9, v10) = 0) | ( ~ (v11 = 0) & subset(v9, v10) = v11))) & ! [v9] : ! [v10] : ( ~ (subset(v9, v10) = 0) | ? [v11] : (power_set(v10) = v11 & member(v9, v11) = 0)) & ! [v9] : ! [v10] : ( ~ (subset(v9, v10) = 0) | ? [v11] : ((v11 = 0 & equal_set(v9, v10) = 0) | ( ~ (v11 = 0) & subset(v10, v9) = v11))) & ! [v9] : ~ (member(v9, empty_set) = 0) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : compose_predicate(v14, v13, v12, v11, v10, v9) = v15 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : isomorphism(v13, v12, v11, v10, v9) = v14 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : decreasing(v13, v12, v11, v10, v9) = v14 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : increasing(v13, v12, v11, v10, v9) = v14 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : compose_function(v13, v12, v11, v10, v9) = v14 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : inverse_predicate(v12, v11, v10, v9) = v13 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : equal_maps(v12, v11, v10, v9) = v13 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : inverse_image3(v11, v10, v9) = v12 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : image3(v11, v10, v9) = v12 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : inverse_function(v11, v10, v9) = v12 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : one_to_one(v11, v10, v9) = v12 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : surjective(v11, v10, v9) = v12 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : injective(v11, v10, v9) = v12 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : maps(v11, v10, v9) = v12 & ? [v9] : ? [v10] : ? [v11] : ? [v12] : apply(v11, v10, v9) = v12 & ? [v9] : ? [v10] : ? [v11] : inverse_image2(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : image2(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : identity(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : unordered_pair(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : difference(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : union(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : intersection(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : equal_set(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : subset(v10, v9) = v11 & ? [v9] : ? [v10] : ? [v11] : member(v10, v9) = v11 & ? [v9] : ? [v10] : product(v9) = v10 & ? [v9] : ? [v10] : sum(v9) = v10 & ? [v9] : ? [v10] : singleton(v9) = v10 & ? [v9] : ? [v10] : power_set(v9) = v10)
% 46.32/13.58 | 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:
% 46.32/13.58 | (1) ~ (all_0_0_0 = 0) & inverse_function(all_0_8_8, all_0_5_5, all_0_4_4) = all_0_1_1 & identity(all_0_2_2, all_0_4_4) = 0 & identity(all_0_3_3, all_0_5_5) = 0 & equal_maps(all_0_1_1, all_0_7_7, all_0_4_4, all_0_5_5) = all_0_0_0 & compose_function(all_0_7_7, all_0_8_8, all_0_5_5, all_0_4_4, all_0_5_5) = all_0_3_3 & compose_function(all_0_8_8, all_0_6_6, all_0_4_4, all_0_5_5, all_0_4_4) = all_0_2_2 & maps(all_0_6_6, all_0_4_4, all_0_5_5) = 0 & maps(all_0_7_7, all_0_4_4, all_0_5_5) = 0 & maps(all_0_8_8, all_0_5_5, all_0_4_4) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = 0) | ~ (apply(v2, v5, v7) = v9) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v1, v5, v9) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (member(v9, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v2, v6, v9) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v1, v9, v7) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = v8) | ~ (member(v9, v4) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v1, v5, v8) = 0 & apply(v0, v8, v6) = 0 & member(v8, v3) = 0) | ( ~ (v8 = 0) & member(v6, v4) = v8) | ( ~ (v8 = 0) & member(v5, v2) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v2, v6, v8) = 0 & apply(v1, v8, v7) = 0 & member(v8, v4) = 0) | ( ~ (v8 = 0) & member(v7, v5) = v8) | ( ~ (v8 = 0) & member(v6, v3) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ? [v7] : (( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (member(v5, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v4, v5) = v7) | ( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v6, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v3) = 0) | ~ (member(v4, v2) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & apply(v0, v4, v5) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (member(v8, v5) = 0 & member(v7, v3) = 0 & ((v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0) | (v9 = 0 & apply(v0, v7, v8) = 0)) & (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ! [v14] : ( ~ (apply(v2, v7, v14) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v1, v14, v8) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (member(v14, v4) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & apply(v1, v14, v8) = v15))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (apply(v0, v3, v6) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v3, v6) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (apply(v0, v6, v3) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v6, v3) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~ (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, v4, v3) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v4, v2) = v7) | ( ~ (v7 = 0) & member(v3, v1) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v3, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v3, v4) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v5) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v5, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v5, v4) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v1, v4, v5) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v1, v4, v5) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v4) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ (member(v5, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v4) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & ((v17 = 0 & apply(v4, v7, v9) = 0) | (v16 = 0 & apply(v2, v6, v8) = 0)) & (( ~ (v17 = 0) & apply(v4, v7, v9) = v17) | ( ~ (v16 = 0) & apply(v2, v6, v8) = v16))) | ( ~ (v6 = 0) & one_to_one(v0, v1, v3) = v6) | ( ~ (v6 = 0) & maps(v0, v1, v3) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v9, v7) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v7, v9) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (apply(v0, v3, v5) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v1) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v5) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (apply(v0, v2, v5) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v2, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (apply(v0, v5, v2) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (inverse_predicate(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (member(v6, v3) = 0 & member(v5, v2) = 0 & ((v8 = 0 & apply(v0, v6, v5) = 0) | (v7 = 0 & apply(v1, v5, v6) = 0)) & (( ~ (v8 = 0) & apply(v0, v6, v5) = v8) | ( ~ (v7 = 0) & apply(v1, v5, v6) = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 & member(v7, v3) = 0 & member(v6, v3) = 0 & member(v5, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v3) = v4) | ~ (member(v0, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & member(v3, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ((v5 = 0 & member(v0, v1) = 0) | ( ~ (v5 = 0) & member(v0, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v0, v2) = v6 & member(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : (( ~ (v5 = 0) & member(v0, v2) = v5) | ( ~ (v5 = 0) & member(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v4, v1) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v0, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v0, v4) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v3, v5) = 0 & member(v5, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (one_to_one(v0, v1, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & surjective(v0, v1, v2) = v4) | ( ~ (v4 = 0) & injective(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (surjective(v0, v1, v2) = v3) | ? [v4] : (member(v4, v2) = 0 & ! [v5] : ( ~ (apply(v0, v5, v4) = 0) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v5] : ( ~ (member(v5, v1) = 0) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v4) = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (injective(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v5 = v4) & apply(v0, v5, v6) = 0 & apply(v0, v4, v6) = 0 & member(v6, v2) = 0 & member(v5, v1) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (maps(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v4, v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v2) = 0 & member(v5, v2) = 0 & member(v4, v1) = 0) | (v5 = 0 & member(v4, v1) = 0 & ! [v12] : ( ~ (apply(v0, v4, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & member(v12, v2) = v13)) & ! [v12] : ( ~ (member(v12, v2) = 0) | ? [v13] : ( ~ (v13 = 0) & apply(v0, v4, v12) = v13))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = 0 & member(v0, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & injective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (injective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & surjective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ((v4 = 0 & member(v0, v2) = 0) | (v4 = 0 & member(v0, v1) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & subset(v1, v0) = v3) | ( ~ (v3 = 0) & subset(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (surjective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & injective(v0, v1, v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (injective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & surjective(v0, v1, v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v0, v1) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v1, v0) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) & ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v0, v1) = v2))) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v1, v0) = v2))) & ! [v0] : ~ (member(v0, empty_set) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : compose_predicate(v5, v4, v3, v2, v1, v0) = v6 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : isomorphism(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : decreasing(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : increasing(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : compose_function(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : inverse_predicate(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : equal_maps(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_image3(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : image3(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_function(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : one_to_one(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : surjective(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : injective(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : maps(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : apply(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : inverse_image2(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : image2(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : identity(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : unordered_pair(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : difference(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : union(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : intersection(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : equal_set(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : member(v1, v0) = v2 & ? [v0] : ? [v1] : product(v0) = v1 & ? [v0] : ? [v1] : sum(v0) = v1 & ? [v0] : ? [v1] : singleton(v0) = v1 & ? [v0] : ? [v1] : power_set(v0) = v1
% 46.75/13.65 |
% 46.75/13.65 | Applying alpha-rule on (1) yields:
% 46.75/13.65 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v2, v5) = v6))
% 46.75/13.65 | (3) maps(all_0_7_7, all_0_4_4, all_0_5_5) = 0
% 46.75/13.65 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v9, v7) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0))
% 46.75/13.65 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (member(v8, v5) = 0 & member(v7, v3) = 0 & ((v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0) | (v9 = 0 & apply(v0, v7, v8) = 0)) & (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ! [v14] : ( ~ (apply(v2, v7, v14) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v1, v14, v8) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (member(v14, v4) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & apply(v1, v14, v8) = v15)))))))
% 46.75/13.65 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0))
% 46.75/13.66 | (7) inverse_function(all_0_8_8, all_0_5_5, all_0_4_4) = all_0_1_1
% 46.75/13.66 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0)
% 46.75/13.66 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v3) = v4) | ~ (member(v0, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & member(v3, v1) = v5))
% 46.75/13.66 | (10) ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v0, v1) = v2)))
% 46.75/13.66 | (11) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_image3(v2, v1, v0) = v3
% 46.75/13.66 | (12) identity(all_0_2_2, all_0_4_4) = 0
% 46.75/13.66 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3))
% 46.75/13.66 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 46.75/13.66 | (15) compose_function(all_0_8_8, all_0_6_6, all_0_4_4, all_0_5_5, all_0_4_4) = all_0_2_2
% 46.75/13.66 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 46.75/13.66 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 46.75/13.66 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0))
% 46.75/13.66 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (apply(v0, v3, v5) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 46.75/13.66 | (20) ? [v0] : ? [v1] : ? [v2] : ? [v3] : image3(v2, v1, v0) = v3
% 46.75/13.66 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0))
% 46.75/13.66 | (22) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : equal_maps(v3, v2, v1, v0) = v4
% 46.75/13.66 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 46.75/13.66 | (24) ? [v0] : ? [v1] : ? [v2] : ? [v3] : surjective(v2, v1, v0) = v3
% 46.75/13.66 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & ((v17 = 0 & apply(v4, v7, v9) = 0) | (v16 = 0 & apply(v2, v6, v8) = 0)) & (( ~ (v17 = 0) & apply(v4, v7, v9) = v17) | ( ~ (v16 = 0) & apply(v2, v6, v8) = v16))) | ( ~ (v6 = 0) & one_to_one(v0, v1, v3) = v6) | ( ~ (v6 = 0) & maps(v0, v1, v3) = v6)))
% 46.75/13.66 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ((v5 = 0 & member(v0, v1) = 0) | ( ~ (v5 = 0) & member(v0, v2) = v5)))
% 46.75/13.66 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 46.75/13.66 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10)))))
% 46.75/13.66 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ (member(v5, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 46.75/13.66 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0))
% 46.75/13.66 | (31) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : inverse_predicate(v3, v2, v1, v0) = v4
% 46.75/13.66 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = v8) | ~ (member(v9, v4) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 46.75/13.66 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (apply(v0, v5, v2) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6))
% 46.75/13.67 | (34) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : compose_predicate(v5, v4, v3, v2, v1, v0) = v6
% 46.75/13.67 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0))
% 46.75/13.67 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9)))
% 46.75/13.67 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0))
% 46.75/13.67 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (inverse_predicate(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (member(v6, v3) = 0 & member(v5, v2) = 0 & ((v8 = 0 & apply(v0, v6, v5) = 0) | (v7 = 0 & apply(v1, v5, v6) = 0)) & (( ~ (v8 = 0) & apply(v0, v6, v5) = v8) | ( ~ (v7 = 0) & apply(v1, v5, v6) = v7))))
% 46.75/13.67 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v6, v3) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7)))
% 46.75/13.67 | (40) maps(all_0_6_6, all_0_4_4, all_0_5_5) = 0
% 46.75/13.67 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 46.75/13.67 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 46.75/13.67 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (surjective(v0, v1, v2) = v3) | ? [v4] : (member(v4, v2) = 0 & ! [v5] : ( ~ (apply(v0, v5, v4) = 0) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v5] : ( ~ (member(v5, v1) = 0) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v4) = v6))))
% 46.75/13.67 | (44) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : decreasing(v4, v3, v2, v1, v0) = v5
% 46.75/13.67 | (45) ? [v0] : ? [v1] : singleton(v0) = v1
% 46.75/13.67 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0))
% 46.75/13.67 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0))
% 46.75/13.67 | (48) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : increasing(v4, v3, v2, v1, v0) = v5
% 46.75/13.67 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0))
% 46.75/13.67 | (50) ? [v0] : ? [v1] : power_set(v0) = v1
% 46.75/13.67 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~ (compose_function(v6, v5, v4, v3, v2) = v0))
% 46.75/13.67 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0))
% 46.75/13.67 | (53) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0))
% 46.75/13.67 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v0, v1) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3)))
% 46.75/13.67 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0)
% 46.75/13.67 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0))
% 46.75/13.67 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v0, v2) = v6 & member(v0, v1) = v5))
% 46.75/13.67 | (58) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v1, v0) = v2)))
% 46.75/13.68 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4))
% 46.75/13.68 | (60) equal_maps(all_0_1_1, all_0_7_7, all_0_4_4, all_0_5_5) = all_0_0_0
% 46.75/13.68 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0))
% 46.75/13.68 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0))
% 46.75/13.68 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (apply(v0, v6, v3) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7)))
% 46.75/13.68 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0))
% 46.75/13.68 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v3, v5) = 0 & member(v5, v1) = 0))
% 46.75/13.68 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3))
% 46.75/13.68 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0))
% 46.75/13.68 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v6, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7)))
% 46.75/13.68 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v1, v4, v5) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v1, v4, v5) = v7)))))
% 46.75/13.68 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v2) = v6))
% 46.75/13.68 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v7, v9) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0))
% 46.75/13.68 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9)))
% 46.75/13.68 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0))
% 46.75/13.68 | (74) ? [v0] : ? [v1] : ? [v2] : difference(v1, v0) = v2
% 46.75/13.68 | (75) ? [v0] : ? [v1] : ? [v2] : ? [v3] : one_to_one(v2, v1, v0) = v3
% 46.75/13.68 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0)
% 46.75/13.68 | (77) ? [v0] : ? [v1] : product(v0) = v1
% 46.75/13.68 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0))
% 46.75/13.68 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v3) = 0) | ~ (member(v4, v2) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & apply(v0, v4, v5) = v7)))
% 46.75/13.68 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (apply(v0, v3, v6) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7)))
% 46.75/13.68 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0))
% 46.75/13.68 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 46.75/13.69 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v5) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v5, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v5, v4) = v7)))))
% 46.75/13.69 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 47.16/13.69 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : (( ~ (v5 = 0) & member(v0, v2) = v5) | ( ~ (v5 = 0) & member(v0, v1) = v5)))
% 47.16/13.69 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 47.16/13.69 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 47.16/13.69 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0))
% 47.16/13.69 | (89) compose_function(all_0_7_7, all_0_8_8, all_0_5_5, all_0_4_4, all_0_5_5) = all_0_3_3
% 47.16/13.69 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (apply(v0, v2, v5) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6))
% 47.16/13.69 | (91) ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2
% 47.16/13.69 | (92) ? [v0] : ? [v1] : ? [v2] : ? [v3] : apply(v2, v1, v0) = v3
% 47.16/13.69 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, v4, v3) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v4, v2) = v7) | ( ~ (v7 = 0) & member(v3, v1) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v3, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v3, v4) = v7)))))
% 47.16/13.69 | (94) ~ (all_0_0_0 = 0)
% 47.16/13.69 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (injective(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v5 = v4) & apply(v0, v5, v6) = 0 & apply(v0, v4, v6) = 0 & member(v6, v2) = 0 & member(v5, v1) = 0 & member(v4, v1) = 0))
% 47.16/13.69 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 & member(v7, v3) = 0 & member(v6, v3) = 0 & member(v5, v2) = 0))
% 47.16/13.69 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10)))))
% 47.16/13.69 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = 0) | ~ (apply(v2, v5, v7) = v9) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 47.16/13.70 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (member(v9, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10)))
% 47.16/13.70 | (100) ? [v0] : ? [v1] : ? [v2] : member(v1, v0) = v2
% 47.16/13.70 | (101) ! [v0] : ~ (member(v0, empty_set) = 0)
% 47.16/13.70 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v4) = v6)))
% 47.16/13.70 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ? [v7] : (( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7)))
% 47.16/13.70 | (104) ! [v0] : ! [v1] : ! [v2] : ( ~ (injective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & surjective(v0, v1, v2) = v3)))
% 47.16/13.70 | (105) ! [v0] : ! [v1] : ! [v2] : ( ~ (surjective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & injective(v0, v1, v2) = v3)))
% 47.16/13.70 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 47.16/13.70 | (107) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_function(v2, v1, v0) = v3
% 47.16/13.70 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v1) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v5) = v6)))
% 47.16/13.70 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0))
% 47.16/13.70 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0))
% 47.16/13.70 | (111) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0))
% 47.16/13.70 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0)
% 47.16/13.70 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (member(v5, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v4, v5) = v7) | ( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7)))
% 47.16/13.70 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v1, v9, v7) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 47.16/13.70 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0))
% 47.16/13.70 | (116) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4))
% 47.16/13.70 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 47.16/13.70 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0))
% 47.16/13.70 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9)))
% 47.16/13.71 | (120) ? [v0] : ? [v1] : ? [v2] : unordered_pair(v1, v0) = v2
% 47.16/13.71 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 47.16/13.71 | (122) identity(all_0_3_3, all_0_5_5) = 0
% 47.16/13.71 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v1, v5, v8) = 0 & apply(v0, v8, v6) = 0 & member(v8, v3) = 0) | ( ~ (v8 = 0) & member(v6, v4) = v8) | ( ~ (v8 = 0) & member(v5, v2) = v8)))
% 47.16/13.71 | (124) ? [v0] : ? [v1] : ? [v2] : union(v1, v0) = v2
% 47.16/13.71 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (injective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & surjective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4)))
% 47.16/13.71 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0))
% 47.16/13.71 | (127) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : compose_function(v4, v3, v2, v1, v0) = v5
% 47.16/13.71 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (maps(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v4, v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v2) = 0 & member(v5, v2) = 0 & member(v4, v1) = 0) | (v5 = 0 & member(v4, v1) = 0 & ! [v12] : ( ~ (apply(v0, v4, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & member(v12, v2) = v13)) & ! [v12] : ( ~ (member(v12, v2) = 0) | ? [v13] : ( ~ (v13 = 0) & apply(v0, v4, v12) = v13)))))
% 47.16/13.71 | (129) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2))
% 47.16/13.71 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 47.16/13.71 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 47.16/13.71 | (132) ? [v0] : ? [v1] : ? [v2] : intersection(v1, v0) = v2
% 47.16/13.71 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 47.16/13.71 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v4) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 47.27/13.71 | (135) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0))
% 47.27/13.71 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4))
% 47.27/13.71 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 47.27/13.71 | (138) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0))
% 47.27/13.71 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 47.27/13.72 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0))
% 47.27/13.72 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 47.27/13.72 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 47.27/13.72 | (143) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v1, v0) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3)))
% 47.27/13.72 | (144) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0))
% 47.27/13.72 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 47.27/13.72 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6)))
% 47.27/13.72 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v1, v5, v9) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10)))
% 47.27/13.72 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0))
% 47.27/13.72 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4))
% 47.27/13.72 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9)))
% 47.31/13.72 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 47.31/13.72 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 47.31/13.72 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 47.31/13.72 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v2, v6, v8) = 0 & apply(v1, v8, v7) = 0 & member(v8, v4) = 0) | ( ~ (v8 = 0) & member(v7, v5) = v8) | ( ~ (v8 = 0) & member(v6, v3) = v8)))
% 47.31/13.73 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 47.31/13.73 | (156) ? [v0] : ? [v1] : ? [v2] : inverse_image2(v1, v0) = v2
% 47.31/13.73 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 47.31/13.73 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 47.31/13.73 | (159) ? [v0] : ? [v1] : ? [v2] : ? [v3] : maps(v2, v1, v0) = v3
% 47.31/13.73 | (160) ? [v0] : ? [v1] : ? [v2] : equal_set(v1, v0) = v2
% 47.31/13.73 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0))
% 47.31/13.73 | (162) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 47.31/13.73 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10)))
% 47.31/13.73 | (164) ? [v0] : ? [v1] : sum(v0) = v1
% 47.31/13.73 | (165) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : isomorphism(v4, v3, v2, v1, v0) = v5
% 47.31/13.73 | (166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v2, v6, v9) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 47.31/13.73 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0))
% 47.31/13.73 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v4, v1) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v0, v4) = v5))
% 47.31/13.73 | (169) ? [v0] : ? [v1] : ? [v2] : image2(v1, v0) = v2
% 47.31/13.73 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v0))
% 47.31/13.73 | (171) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 47.31/13.73 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = 0 & member(v0, v4) = v5))
% 47.31/13.73 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 47.31/13.73 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 47.31/13.74 | (175) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v3, v6) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7)))
% 47.31/13.74 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v0, v4) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = v5))
% 47.31/13.74 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & injective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4)))
% 47.31/13.74 | (178) ? [v0] : ? [v1] : ? [v2] : identity(v1, v0) = v2
% 47.31/13.74 | (179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 47.31/13.74 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ((v4 = 0 & member(v0, v2) = 0) | (v4 = 0 & member(v0, v1) = 0)))
% 47.31/13.74 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (one_to_one(v0, v1, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & surjective(v0, v1, v2) = v4) | ( ~ (v4 = 0) & injective(v0, v1, v2) = v4)))
% 47.31/13.74 | (182) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 47.31/13.74 | (183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10)))))
% 47.31/13.74 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 47.31/13.74 | (185) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & subset(v1, v0) = v3) | ( ~ (v3 = 0) & subset(v0, v1) = v3)))
% 47.31/13.74 | (186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0))
% 47.31/13.74 | (187) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0))
% 47.31/13.74 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0))
% 47.31/13.74 | (189) maps(all_0_8_8, all_0_5_5, all_0_4_4) = 0
% 47.31/13.74 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0))
% 47.31/13.74 | (191) ? [v0] : ? [v1] : ? [v2] : ? [v3] : injective(v2, v1, v0) = v3
% 47.31/13.74 | (192) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0))
% 47.31/13.74 |
% 47.31/13.74 | Instantiating formula (96) with all_0_0_0, all_0_5_5, all_0_4_4, all_0_7_7, all_0_1_1 and discharging atoms equal_maps(all_0_1_1, all_0_7_7, all_0_4_4, all_0_5_5) = all_0_0_0, yields:
% 47.31/13.74 | (193) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & apply(all_0_1_1, v0, v1) = 0 & apply(all_0_7_7, v0, v2) = 0 & member(v2, all_0_5_5) = 0 & member(v1, all_0_5_5) = 0 & member(v0, all_0_4_4) = 0)
% 47.31/13.74 |
% 47.31/13.74 +-Applying beta-rule and splitting (193), into two cases.
% 47.31/13.74 |-Branch one:
% 47.31/13.74 | (194) all_0_0_0 = 0
% 47.31/13.74 |
% 47.31/13.75 | Equations (194) can reduce 94 to:
% 47.31/13.75 | (195) $false
% 47.31/13.75 |
% 47.31/13.75 |-The branch is then unsatisfiable
% 47.31/13.75 |-Branch two:
% 47.31/13.75 | (94) ~ (all_0_0_0 = 0)
% 47.31/13.75 | (197) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & apply(all_0_1_1, v0, v1) = 0 & apply(all_0_7_7, v0, v2) = 0 & member(v2, all_0_5_5) = 0 & member(v1, all_0_5_5) = 0 & member(v0, all_0_4_4) = 0)
% 47.31/13.75 |
% 47.31/13.75 | Instantiating (197) with all_68_0_120, all_68_1_121, all_68_2_122 yields:
% 47.31/13.75 | (198) ~ (all_68_0_120 = all_68_1_121) & apply(all_0_1_1, all_68_2_122, all_68_1_121) = 0 & apply(all_0_7_7, all_68_2_122, all_68_0_120) = 0 & member(all_68_0_120, all_0_5_5) = 0 & member(all_68_1_121, all_0_5_5) = 0 & member(all_68_2_122, all_0_4_4) = 0
% 47.31/13.75 |
% 47.31/13.75 | Applying alpha-rule on (198) yields:
% 47.31/13.75 | (199) ~ (all_68_0_120 = all_68_1_121)
% 47.31/13.75 | (200) apply(all_0_7_7, all_68_2_122, all_68_0_120) = 0
% 47.31/13.75 | (201) apply(all_0_1_1, all_68_2_122, all_68_1_121) = 0
% 47.31/13.75 | (202) member(all_68_2_122, all_0_4_4) = 0
% 47.31/13.75 | (203) member(all_68_0_120, all_0_5_5) = 0
% 47.31/13.75 | (204) member(all_68_1_121, all_0_5_5) = 0
% 47.31/13.75 |
% 47.31/13.75 | Instantiating formula (93) with 0, all_0_1_1, all_68_2_122, all_68_1_121, all_0_4_4, all_0_5_5, all_0_8_8 and discharging atoms inverse_function(all_0_8_8, all_0_5_5, all_0_4_4) = all_0_1_1, apply(all_0_1_1, all_68_2_122, all_68_1_121) = 0, yields:
% 47.31/13.75 | (205) ? [v0] : ((v0 = 0 & apply(all_0_8_8, all_68_1_121, all_68_2_122) = 0) | ( ~ (v0 = 0) & member(all_68_1_121, all_0_5_5) = v0) | ( ~ (v0 = 0) & member(all_68_2_122, all_0_4_4) = v0))
% 47.31/13.75 |
% 47.31/13.75 | Instantiating formula (134) with all_68_0_120, all_68_1_121, all_68_2_122, all_0_5_5, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_5_5) = 0, apply(all_0_7_7, all_68_2_122, all_68_0_120) = 0, member(all_68_1_121, all_0_5_5) = 0, yields:
% 47.31/13.75 | (206) all_68_0_120 = all_68_1_121 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_2_122, all_68_1_121) = v0) | ( ~ (v0 = 0) & member(all_68_0_120, all_0_5_5) = v0) | ( ~ (v0 = 0) & member(all_68_2_122, all_0_4_4) = v0))
% 47.31/13.75 |
% 47.31/13.75 | Instantiating formula (62) with all_68_1_121, all_0_4_4, all_0_5_5, all_0_8_8 and discharging atoms maps(all_0_8_8, all_0_5_5, all_0_4_4) = 0, member(all_68_1_121, all_0_5_5) = 0, yields:
% 47.31/13.75 | (207) ? [v0] : (apply(all_0_8_8, all_68_1_121, v0) = 0 & member(v0, all_0_4_4) = 0)
% 47.31/13.75 |
% 47.31/13.75 | Instantiating formula (8) with all_68_1_121, all_0_5_5, all_0_3_3 and discharging atoms identity(all_0_3_3, all_0_5_5) = 0, member(all_68_1_121, all_0_5_5) = 0, yields:
% 47.31/13.75 | (208) apply(all_0_3_3, all_68_1_121, all_68_1_121) = 0
% 47.31/13.75 |
% 47.31/13.75 | Instantiating formula (102) with all_68_0_120, all_68_1_121, all_68_2_122, all_0_5_5, all_0_4_4, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_4_4, all_0_5_5) = 0, member(all_68_0_120, all_0_5_5) = 0, member(all_68_1_121, all_0_5_5) = 0, member(all_68_2_122, all_0_4_4) = 0, yields:
% 47.31/13.75 | (209) all_68_0_120 = all_68_1_121 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_122, all_68_0_120) = v0) | ( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_122, all_68_1_121) = v0))
% 47.31/13.75 |
% 47.31/13.75 | Instantiating formula (102) with all_68_0_120, all_68_1_121, all_68_2_122, all_0_5_5, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_5_5) = 0, member(all_68_0_120, all_0_5_5) = 0, member(all_68_1_121, all_0_5_5) = 0, member(all_68_2_122, all_0_4_4) = 0, yields:
% 47.31/13.75 | (210) all_68_0_120 = all_68_1_121 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_2_122, all_68_0_120) = v0) | ( ~ (v0 = 0) & apply(all_0_7_7, all_68_2_122, all_68_1_121) = v0))
% 47.31/13.75 |
% 47.31/13.75 | Instantiating formula (62) with all_68_2_122, all_0_5_5, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_5_5) = 0, member(all_68_2_122, all_0_4_4) = 0, yields:
% 47.31/13.75 | (211) ? [v0] : (apply(all_0_7_7, all_68_2_122, v0) = 0 & member(v0, all_0_5_5) = 0)
% 47.31/13.75 |
% 47.31/13.75 | Instantiating (211) with all_80_0_125 yields:
% 47.31/13.75 | (212) apply(all_0_7_7, all_68_2_122, all_80_0_125) = 0 & member(all_80_0_125, all_0_5_5) = 0
% 47.31/13.75 |
% 47.31/13.75 | Applying alpha-rule on (212) yields:
% 47.31/13.75 | (213) apply(all_0_7_7, all_68_2_122, all_80_0_125) = 0
% 47.31/13.76 | (214) member(all_80_0_125, all_0_5_5) = 0
% 47.31/13.76 |
% 47.31/13.76 | Instantiating (207) with all_82_0_126 yields:
% 47.31/13.76 | (215) apply(all_0_8_8, all_68_1_121, all_82_0_126) = 0 & member(all_82_0_126, all_0_4_4) = 0
% 47.31/13.76 |
% 47.31/13.76 | Applying alpha-rule on (215) yields:
% 47.31/13.76 | (216) apply(all_0_8_8, all_68_1_121, all_82_0_126) = 0
% 47.31/13.76 | (217) member(all_82_0_126, all_0_4_4) = 0
% 47.31/13.76 |
% 47.31/13.76 | Instantiating (205) with all_84_0_127 yields:
% 47.31/13.76 | (218) (all_84_0_127 = 0 & apply(all_0_8_8, all_68_1_121, all_68_2_122) = 0) | ( ~ (all_84_0_127 = 0) & member(all_68_1_121, all_0_5_5) = all_84_0_127) | ( ~ (all_84_0_127 = 0) & member(all_68_2_122, all_0_4_4) = all_84_0_127)
% 47.31/13.76 |
% 47.31/13.76 +-Applying beta-rule and splitting (218), into two cases.
% 47.31/13.76 |-Branch one:
% 47.31/13.76 | (219) (all_84_0_127 = 0 & apply(all_0_8_8, all_68_1_121, all_68_2_122) = 0) | ( ~ (all_84_0_127 = 0) & member(all_68_1_121, all_0_5_5) = all_84_0_127)
% 47.31/13.76 |
% 47.31/13.76 +-Applying beta-rule and splitting (219), into two cases.
% 47.31/13.76 |-Branch one:
% 47.31/13.76 | (220) all_84_0_127 = 0 & apply(all_0_8_8, all_68_1_121, all_68_2_122) = 0
% 47.31/13.76 |
% 47.31/13.76 | Applying alpha-rule on (220) yields:
% 47.31/13.76 | (221) all_84_0_127 = 0
% 47.31/13.76 | (222) apply(all_0_8_8, all_68_1_121, all_68_2_122) = 0
% 47.31/13.76 |
% 47.31/13.76 +-Applying beta-rule and splitting (206), into two cases.
% 47.31/13.76 |-Branch one:
% 47.31/13.76 | (223) all_68_0_120 = all_68_1_121
% 47.31/13.76 |
% 47.31/13.76 | Equations (223) can reduce 199 to:
% 47.31/13.76 | (195) $false
% 47.31/13.76 |
% 47.31/13.76 |-The branch is then unsatisfiable
% 47.31/13.76 |-Branch two:
% 47.31/13.76 | (199) ~ (all_68_0_120 = all_68_1_121)
% 47.31/13.76 | (226) ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_2_122, all_68_1_121) = v0) | ( ~ (v0 = 0) & member(all_68_0_120, all_0_5_5) = v0) | ( ~ (v0 = 0) & member(all_68_2_122, all_0_4_4) = v0))
% 47.31/13.76 |
% 47.31/13.76 | Instantiating (226) with all_92_0_128 yields:
% 47.31/13.76 | (227) ( ~ (all_92_0_128 = 0) & apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_92_0_128) | ( ~ (all_92_0_128 = 0) & member(all_68_0_120, all_0_5_5) = all_92_0_128) | ( ~ (all_92_0_128 = 0) & member(all_68_2_122, all_0_4_4) = all_92_0_128)
% 47.31/13.76 |
% 47.31/13.76 +-Applying beta-rule and splitting (210), into two cases.
% 47.31/13.76 |-Branch one:
% 47.31/13.76 | (223) all_68_0_120 = all_68_1_121
% 47.31/13.76 |
% 47.31/13.76 | Equations (223) can reduce 199 to:
% 47.31/13.76 | (195) $false
% 47.31/13.76 |
% 47.31/13.76 |-The branch is then unsatisfiable
% 47.31/13.76 |-Branch two:
% 47.31/13.76 | (199) ~ (all_68_0_120 = all_68_1_121)
% 47.31/13.76 | (231) ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_2_122, all_68_0_120) = v0) | ( ~ (v0 = 0) & apply(all_0_7_7, all_68_2_122, all_68_1_121) = v0))
% 47.31/13.76 |
% 47.31/13.76 | Instantiating (231) with all_96_0_129 yields:
% 47.31/13.76 | (232) ( ~ (all_96_0_129 = 0) & apply(all_0_7_7, all_68_2_122, all_68_0_120) = all_96_0_129) | ( ~ (all_96_0_129 = 0) & apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_96_0_129)
% 47.31/13.76 |
% 47.31/13.76 +-Applying beta-rule and splitting (209), into two cases.
% 47.31/13.76 |-Branch one:
% 47.31/13.76 | (223) all_68_0_120 = all_68_1_121
% 47.31/13.76 |
% 47.31/13.76 | Equations (223) can reduce 199 to:
% 47.31/13.76 | (195) $false
% 47.31/13.76 |
% 47.31/13.76 |-The branch is then unsatisfiable
% 47.31/13.76 |-Branch two:
% 47.31/13.76 | (199) ~ (all_68_0_120 = all_68_1_121)
% 47.31/13.76 | (236) ? [v0] : (( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_122, all_68_0_120) = v0) | ( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_122, all_68_1_121) = v0))
% 47.31/13.76 |
% 47.31/13.76 +-Applying beta-rule and splitting (232), into two cases.
% 47.31/13.76 |-Branch one:
% 47.31/13.76 | (237) ~ (all_96_0_129 = 0) & apply(all_0_7_7, all_68_2_122, all_68_0_120) = all_96_0_129
% 47.31/13.76 |
% 47.31/13.76 | Applying alpha-rule on (237) yields:
% 47.31/13.76 | (238) ~ (all_96_0_129 = 0)
% 47.31/13.76 | (239) apply(all_0_7_7, all_68_2_122, all_68_0_120) = all_96_0_129
% 47.31/13.76 |
% 47.31/13.76 | Instantiating formula (46) with all_0_7_7, all_68_2_122, all_68_0_120, all_96_0_129, 0 and discharging atoms apply(all_0_7_7, all_68_2_122, all_68_0_120) = all_96_0_129, apply(all_0_7_7, all_68_2_122, all_68_0_120) = 0, yields:
% 47.31/13.76 | (240) all_96_0_129 = 0
% 47.31/13.76 |
% 47.31/13.76 | Equations (240) can reduce 238 to:
% 47.31/13.76 | (195) $false
% 47.31/13.76 |
% 47.31/13.76 |-The branch is then unsatisfiable
% 47.31/13.76 |-Branch two:
% 47.31/13.76 | (242) ~ (all_96_0_129 = 0) & apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_96_0_129
% 47.31/13.76 |
% 47.31/13.76 | Applying alpha-rule on (242) yields:
% 47.31/13.76 | (238) ~ (all_96_0_129 = 0)
% 47.31/13.76 | (244) apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_96_0_129
% 47.31/13.76 |
% 47.31/13.76 +-Applying beta-rule and splitting (227), into two cases.
% 47.31/13.76 |-Branch one:
% 47.31/13.76 | (245) ( ~ (all_92_0_128 = 0) & apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_92_0_128) | ( ~ (all_92_0_128 = 0) & member(all_68_0_120, all_0_5_5) = all_92_0_128)
% 47.31/13.76 |
% 47.31/13.76 +-Applying beta-rule and splitting (245), into two cases.
% 47.31/13.76 |-Branch one:
% 47.31/13.76 | (246) ~ (all_92_0_128 = 0) & apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_92_0_128
% 47.31/13.76 |
% 47.31/13.76 | Applying alpha-rule on (246) yields:
% 47.31/13.76 | (247) ~ (all_92_0_128 = 0)
% 47.31/13.76 | (248) apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_92_0_128
% 47.31/13.76 |
% 47.31/13.76 | Instantiating formula (46) with all_0_7_7, all_68_2_122, all_68_1_121, all_92_0_128, all_96_0_129 and discharging atoms apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_96_0_129, apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_92_0_128, yields:
% 47.31/13.76 | (249) all_96_0_129 = all_92_0_128
% 47.31/13.76 |
% 47.31/13.76 | From (249) and (244) follows:
% 47.31/13.76 | (248) apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_92_0_128
% 47.31/13.76 |
% 47.31/13.76 | Instantiating formula (123) with all_0_3_3, all_68_1_121, all_68_1_121, all_0_5_5, all_0_4_4, all_0_5_5, all_0_8_8, all_0_7_7 and discharging atoms compose_function(all_0_7_7, all_0_8_8, all_0_5_5, all_0_4_4, all_0_5_5) = all_0_3_3, apply(all_0_3_3, all_68_1_121, all_68_1_121) = 0, yields:
% 47.31/13.76 | (251) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & apply(all_0_7_7, v0, all_68_1_121) = 0 & apply(all_0_8_8, all_68_1_121, v0) = 0 & member(v0, all_0_4_4) = 0) | ( ~ (v0 = 0) & member(all_68_1_121, all_0_5_5) = v0))
% 47.31/13.76 |
% 47.31/13.76 | Instantiating formula (102) with all_68_0_120, all_68_1_121, all_82_0_126, all_0_5_5, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_5_5) = 0, member(all_82_0_126, all_0_4_4) = 0, member(all_68_0_120, all_0_5_5) = 0, member(all_68_1_121, all_0_5_5) = 0, yields:
% 47.31/13.76 | (252) all_68_0_120 = all_68_1_121 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_82_0_126, all_68_0_120) = v0) | ( ~ (v0 = 0) & apply(all_0_7_7, all_82_0_126, all_68_1_121) = v0))
% 47.31/13.76 |
% 47.31/13.76 | Instantiating formula (134) with all_68_2_122, all_82_0_126, all_68_1_121, all_0_4_4, all_0_5_5, all_0_8_8 and discharging atoms maps(all_0_8_8, all_0_5_5, all_0_4_4) = 0, apply(all_0_8_8, all_68_1_121, all_68_2_122) = 0, member(all_82_0_126, all_0_4_4) = 0, yields:
% 47.31/13.76 | (253) all_82_0_126 = all_68_2_122 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_8_8, all_68_1_121, all_82_0_126) = v0) | ( ~ (v0 = 0) & member(all_68_1_121, all_0_5_5) = v0) | ( ~ (v0 = 0) & member(all_68_2_122, all_0_4_4) = v0))
% 47.31/13.76 |
% 47.31/13.76 | Instantiating formula (134) with all_68_0_120, all_80_0_125, all_68_2_122, all_0_5_5, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_5_5) = 0, apply(all_0_7_7, all_68_2_122, all_68_0_120) = 0, member(all_80_0_125, all_0_5_5) = 0, yields:
% 47.31/13.76 | (254) all_80_0_125 = all_68_0_120 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_2_122, all_80_0_125) = v0) | ( ~ (v0 = 0) & member(all_68_0_120, all_0_5_5) = v0) | ( ~ (v0 = 0) & member(all_68_2_122, all_0_4_4) = v0))
% 47.31/13.76 |
% 47.31/13.76 | Instantiating (251) with all_127_0_135, all_127_1_136, all_127_2_137, all_127_3_138 yields:
% 47.31/13.77 | (255) (all_127_0_135 = 0 & all_127_1_136 = 0 & all_127_2_137 = 0 & apply(all_0_7_7, all_127_3_138, all_68_1_121) = 0 & apply(all_0_8_8, all_68_1_121, all_127_3_138) = 0 & member(all_127_3_138, all_0_4_4) = 0) | ( ~ (all_127_3_138 = 0) & member(all_68_1_121, all_0_5_5) = all_127_3_138)
% 47.31/13.77 |
% 47.31/13.77 +-Applying beta-rule and splitting (254), into two cases.
% 47.31/13.77 |-Branch one:
% 47.31/13.77 | (256) all_80_0_125 = all_68_0_120
% 47.31/13.77 |
% 47.31/13.77 | From (256) and (213) follows:
% 47.31/13.77 | (200) apply(all_0_7_7, all_68_2_122, all_68_0_120) = 0
% 47.31/13.77 |
% 47.31/13.77 +-Applying beta-rule and splitting (252), into two cases.
% 47.31/13.77 |-Branch one:
% 47.31/13.77 | (223) all_68_0_120 = all_68_1_121
% 47.31/13.77 |
% 47.31/13.77 | Equations (223) can reduce 199 to:
% 47.31/13.77 | (195) $false
% 47.31/13.77 |
% 47.31/13.77 |-The branch is then unsatisfiable
% 47.31/13.77 |-Branch two:
% 47.31/13.77 | (199) ~ (all_68_0_120 = all_68_1_121)
% 47.31/13.77 | (261) ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_82_0_126, all_68_0_120) = v0) | ( ~ (v0 = 0) & apply(all_0_7_7, all_82_0_126, all_68_1_121) = v0))
% 47.31/13.77 |
% 47.31/13.77 | Instantiating (261) with all_145_0_149 yields:
% 47.31/13.77 | (262) ( ~ (all_145_0_149 = 0) & apply(all_0_7_7, all_82_0_126, all_68_0_120) = all_145_0_149) | ( ~ (all_145_0_149 = 0) & apply(all_0_7_7, all_82_0_126, all_68_1_121) = all_145_0_149)
% 47.31/13.77 |
% 47.31/13.77 +-Applying beta-rule and splitting (253), into two cases.
% 47.31/13.77 |-Branch one:
% 47.31/13.77 | (263) all_82_0_126 = all_68_2_122
% 47.31/13.77 |
% 47.31/13.77 | From (263) and (216) follows:
% 47.31/13.77 | (222) apply(all_0_8_8, all_68_1_121, all_68_2_122) = 0
% 47.31/13.77 |
% 47.31/13.77 | From (263) and (217) follows:
% 47.31/13.77 | (202) member(all_68_2_122, all_0_4_4) = 0
% 47.31/13.77 |
% 47.31/13.77 +-Applying beta-rule and splitting (262), into two cases.
% 47.31/13.77 |-Branch one:
% 47.31/13.77 | (266) ~ (all_145_0_149 = 0) & apply(all_0_7_7, all_82_0_126, all_68_0_120) = all_145_0_149
% 47.31/13.77 |
% 47.31/13.77 | Applying alpha-rule on (266) yields:
% 47.31/13.77 | (267) ~ (all_145_0_149 = 0)
% 47.31/13.77 | (268) apply(all_0_7_7, all_82_0_126, all_68_0_120) = all_145_0_149
% 47.31/13.77 |
% 47.31/13.77 | From (263) and (268) follows:
% 47.31/13.77 | (269) apply(all_0_7_7, all_68_2_122, all_68_0_120) = all_145_0_149
% 47.31/13.77 |
% 47.31/13.77 | Instantiating formula (46) with all_0_7_7, all_68_2_122, all_68_0_120, all_145_0_149, 0 and discharging atoms apply(all_0_7_7, all_68_2_122, all_68_0_120) = all_145_0_149, apply(all_0_7_7, all_68_2_122, all_68_0_120) = 0, yields:
% 47.31/13.77 | (270) all_145_0_149 = 0
% 47.31/13.77 |
% 47.31/13.77 | Equations (270) can reduce 267 to:
% 47.31/13.77 | (195) $false
% 47.31/13.77 |
% 47.31/13.77 |-The branch is then unsatisfiable
% 47.31/13.77 |-Branch two:
% 47.31/13.77 | (272) ~ (all_145_0_149 = 0) & apply(all_0_7_7, all_82_0_126, all_68_1_121) = all_145_0_149
% 47.31/13.77 |
% 47.31/13.77 | Applying alpha-rule on (272) yields:
% 47.31/13.77 | (267) ~ (all_145_0_149 = 0)
% 47.31/13.77 | (274) apply(all_0_7_7, all_82_0_126, all_68_1_121) = all_145_0_149
% 47.31/13.77 |
% 47.31/13.77 | From (263) and (274) follows:
% 47.31/13.77 | (275) apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_145_0_149
% 47.31/13.77 |
% 47.31/13.77 +-Applying beta-rule and splitting (255), into two cases.
% 47.31/13.77 |-Branch one:
% 47.31/13.77 | (276) all_127_0_135 = 0 & all_127_1_136 = 0 & all_127_2_137 = 0 & apply(all_0_7_7, all_127_3_138, all_68_1_121) = 0 & apply(all_0_8_8, all_68_1_121, all_127_3_138) = 0 & member(all_127_3_138, all_0_4_4) = 0
% 47.31/13.77 |
% 47.31/13.77 | Applying alpha-rule on (276) yields:
% 47.31/13.77 | (277) apply(all_0_8_8, all_68_1_121, all_127_3_138) = 0
% 47.31/13.77 | (278) all_127_2_137 = 0
% 47.31/13.77 | (279) member(all_127_3_138, all_0_4_4) = 0
% 47.31/13.77 | (280) apply(all_0_7_7, all_127_3_138, all_68_1_121) = 0
% 47.31/13.77 | (281) all_127_0_135 = 0
% 47.31/13.77 | (282) all_127_1_136 = 0
% 47.31/13.77 |
% 47.31/13.77 | Instantiating formula (46) with all_0_7_7, all_68_2_122, all_68_1_121, all_145_0_149, all_92_0_128 and discharging atoms apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_145_0_149, apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_92_0_128, yields:
% 47.31/13.77 | (283) all_145_0_149 = all_92_0_128
% 47.31/13.77 |
% 47.31/13.77 | Equations (283) can reduce 267 to:
% 47.31/13.77 | (247) ~ (all_92_0_128 = 0)
% 47.31/13.77 |
% 47.31/13.77 | From (283) and (275) follows:
% 47.31/13.77 | (248) apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_92_0_128
% 47.31/13.77 |
% 47.31/13.77 | Instantiating formula (134) with all_68_2_122, all_127_3_138, all_68_1_121, all_0_4_4, all_0_5_5, all_0_8_8 and discharging atoms maps(all_0_8_8, all_0_5_5, all_0_4_4) = 0, apply(all_0_8_8, all_68_1_121, all_68_2_122) = 0, member(all_127_3_138, all_0_4_4) = 0, yields:
% 47.31/13.77 | (286) all_127_3_138 = all_68_2_122 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_8_8, all_68_1_121, all_127_3_138) = v0) | ( ~ (v0 = 0) & member(all_68_1_121, all_0_5_5) = v0) | ( ~ (v0 = 0) & member(all_68_2_122, all_0_4_4) = v0))
% 47.31/13.77 |
% 47.31/13.77 +-Applying beta-rule and splitting (286), into two cases.
% 47.31/13.77 |-Branch one:
% 47.31/13.77 | (287) all_127_3_138 = all_68_2_122
% 47.31/13.77 |
% 47.31/13.77 | From (287) and (280) follows:
% 47.31/13.77 | (288) apply(all_0_7_7, all_68_2_122, all_68_1_121) = 0
% 47.31/13.77 |
% 47.31/13.77 | Instantiating formula (46) with all_0_7_7, all_68_2_122, all_68_1_121, 0, all_92_0_128 and discharging atoms apply(all_0_7_7, all_68_2_122, all_68_1_121) = all_92_0_128, apply(all_0_7_7, all_68_2_122, all_68_1_121) = 0, yields:
% 47.31/13.77 | (289) all_92_0_128 = 0
% 47.31/13.77 |
% 47.31/13.77 | Equations (289) can reduce 247 to:
% 47.31/13.77 | (195) $false
% 47.31/13.77 |
% 47.31/13.77 |-The branch is then unsatisfiable
% 47.31/13.77 |-Branch two:
% 47.31/13.77 | (291) ~ (all_127_3_138 = all_68_2_122)
% 47.31/13.77 | (292) ? [v0] : (( ~ (v0 = 0) & apply(all_0_8_8, all_68_1_121, all_127_3_138) = v0) | ( ~ (v0 = 0) & member(all_68_1_121, all_0_5_5) = v0) | ( ~ (v0 = 0) & member(all_68_2_122, all_0_4_4) = v0))
% 47.31/13.77 |
% 47.31/13.77 | Instantiating (292) with all_241_0_219 yields:
% 47.31/13.77 | (293) ( ~ (all_241_0_219 = 0) & apply(all_0_8_8, all_68_1_121, all_127_3_138) = all_241_0_219) | ( ~ (all_241_0_219 = 0) & member(all_68_1_121, all_0_5_5) = all_241_0_219) | ( ~ (all_241_0_219 = 0) & member(all_68_2_122, all_0_4_4) = all_241_0_219)
% 47.31/13.77 |
% 47.31/13.78 +-Applying beta-rule and splitting (293), into two cases.
% 47.31/13.78 |-Branch one:
% 47.31/13.78 | (294) ( ~ (all_241_0_219 = 0) & apply(all_0_8_8, all_68_1_121, all_127_3_138) = all_241_0_219) | ( ~ (all_241_0_219 = 0) & member(all_68_1_121, all_0_5_5) = all_241_0_219)
% 47.31/13.78 |
% 47.31/13.78 +-Applying beta-rule and splitting (294), into two cases.
% 47.31/13.78 |-Branch one:
% 47.31/13.78 | (295) ~ (all_241_0_219 = 0) & apply(all_0_8_8, all_68_1_121, all_127_3_138) = all_241_0_219
% 47.31/13.78 |
% 47.31/13.78 | Applying alpha-rule on (295) yields:
% 47.31/13.78 | (296) ~ (all_241_0_219 = 0)
% 47.31/13.78 | (297) apply(all_0_8_8, all_68_1_121, all_127_3_138) = all_241_0_219
% 47.31/13.78 |
% 47.31/13.78 | Instantiating formula (46) with all_0_8_8, all_68_1_121, all_127_3_138, all_241_0_219, 0 and discharging atoms apply(all_0_8_8, all_68_1_121, all_127_3_138) = all_241_0_219, apply(all_0_8_8, all_68_1_121, all_127_3_138) = 0, yields:
% 47.31/13.78 | (298) all_241_0_219 = 0
% 47.31/13.78 |
% 47.31/13.78 | Equations (298) can reduce 296 to:
% 47.31/13.78 | (195) $false
% 47.31/13.78 |
% 47.31/13.78 |-The branch is then unsatisfiable
% 47.31/13.78 |-Branch two:
% 47.31/13.78 | (300) ~ (all_241_0_219 = 0) & member(all_68_1_121, all_0_5_5) = all_241_0_219
% 47.31/13.78 |
% 47.31/13.78 | Applying alpha-rule on (300) yields:
% 47.31/13.78 | (296) ~ (all_241_0_219 = 0)
% 47.31/13.78 | (302) member(all_68_1_121, all_0_5_5) = all_241_0_219
% 47.31/13.78 |
% 47.31/13.78 | Instantiating formula (186) with all_68_1_121, all_0_5_5, all_241_0_219, 0 and discharging atoms member(all_68_1_121, all_0_5_5) = all_241_0_219, member(all_68_1_121, all_0_5_5) = 0, yields:
% 47.31/13.78 | (298) all_241_0_219 = 0
% 47.31/13.78 |
% 47.31/13.78 | Equations (298) can reduce 296 to:
% 47.31/13.78 | (195) $false
% 47.31/13.78 |
% 47.31/13.78 |-The branch is then unsatisfiable
% 47.31/13.78 |-Branch two:
% 47.31/13.78 | (305) ~ (all_241_0_219 = 0) & member(all_68_2_122, all_0_4_4) = all_241_0_219
% 47.31/13.78 |
% 47.31/13.78 | Applying alpha-rule on (305) yields:
% 47.31/13.78 | (296) ~ (all_241_0_219 = 0)
% 47.31/13.78 | (307) member(all_68_2_122, all_0_4_4) = all_241_0_219
% 47.31/13.78 |
% 47.31/13.78 | Instantiating formula (186) with all_68_2_122, all_0_4_4, all_241_0_219, 0 and discharging atoms member(all_68_2_122, all_0_4_4) = all_241_0_219, member(all_68_2_122, all_0_4_4) = 0, yields:
% 47.31/13.78 | (298) all_241_0_219 = 0
% 47.31/13.78 |
% 47.31/13.78 | Equations (298) can reduce 296 to:
% 47.31/13.78 | (195) $false
% 47.31/13.78 |
% 47.31/13.78 |-The branch is then unsatisfiable
% 47.31/13.78 |-Branch two:
% 47.31/13.78 | (310) ~ (all_127_3_138 = 0) & member(all_68_1_121, all_0_5_5) = all_127_3_138
% 47.31/13.78 |
% 47.31/13.78 | Applying alpha-rule on (310) yields:
% 47.31/13.78 | (311) ~ (all_127_3_138 = 0)
% 47.31/13.78 | (312) member(all_68_1_121, all_0_5_5) = all_127_3_138
% 47.31/13.78 |
% 47.31/13.78 | Instantiating formula (186) with all_68_1_121, all_0_5_5, all_127_3_138, 0 and discharging atoms member(all_68_1_121, all_0_5_5) = all_127_3_138, member(all_68_1_121, all_0_5_5) = 0, yields:
% 47.31/13.78 | (313) all_127_3_138 = 0
% 47.31/13.78 |
% 47.31/13.78 | Equations (313) can reduce 311 to:
% 47.31/13.78 | (195) $false
% 47.31/13.78 |
% 47.31/13.78 |-The branch is then unsatisfiable
% 47.31/13.78 |-Branch two:
% 47.31/13.78 | (315) ~ (all_82_0_126 = all_68_2_122)
% 47.31/13.78 | (316) ? [v0] : (( ~ (v0 = 0) & apply(all_0_8_8, all_68_1_121, all_82_0_126) = v0) | ( ~ (v0 = 0) & member(all_68_1_121, all_0_5_5) = v0) | ( ~ (v0 = 0) & member(all_68_2_122, all_0_4_4) = v0))
% 47.31/13.78 |
% 47.31/13.78 | Instantiating (316) with all_150_0_503 yields:
% 47.31/13.78 | (317) ( ~ (all_150_0_503 = 0) & apply(all_0_8_8, all_68_1_121, all_82_0_126) = all_150_0_503) | ( ~ (all_150_0_503 = 0) & member(all_68_1_121, all_0_5_5) = all_150_0_503) | ( ~ (all_150_0_503 = 0) & member(all_68_2_122, all_0_4_4) = all_150_0_503)
% 47.31/13.78 |
% 47.31/13.78 +-Applying beta-rule and splitting (317), into two cases.
% 47.31/13.78 |-Branch one:
% 47.31/13.78 | (318) ( ~ (all_150_0_503 = 0) & apply(all_0_8_8, all_68_1_121, all_82_0_126) = all_150_0_503) | ( ~ (all_150_0_503 = 0) & member(all_68_1_121, all_0_5_5) = all_150_0_503)
% 47.31/13.78 |
% 47.31/13.78 +-Applying beta-rule and splitting (318), into two cases.
% 47.31/13.78 |-Branch one:
% 47.31/13.78 | (319) ~ (all_150_0_503 = 0) & apply(all_0_8_8, all_68_1_121, all_82_0_126) = all_150_0_503
% 47.31/13.78 |
% 47.31/13.78 | Applying alpha-rule on (319) yields:
% 47.31/13.78 | (320) ~ (all_150_0_503 = 0)
% 47.31/13.78 | (321) apply(all_0_8_8, all_68_1_121, all_82_0_126) = all_150_0_503
% 47.31/13.78 |
% 47.31/13.78 | Instantiating formula (46) with all_0_8_8, all_68_1_121, all_82_0_126, all_150_0_503, 0 and discharging atoms apply(all_0_8_8, all_68_1_121, all_82_0_126) = all_150_0_503, apply(all_0_8_8, all_68_1_121, all_82_0_126) = 0, yields:
% 47.31/13.78 | (322) all_150_0_503 = 0
% 47.31/13.78 |
% 47.31/13.78 | Equations (322) can reduce 320 to:
% 47.31/13.78 | (195) $false
% 47.31/13.78 |
% 47.31/13.78 |-The branch is then unsatisfiable
% 47.31/13.78 |-Branch two:
% 47.31/13.78 | (324) ~ (all_150_0_503 = 0) & member(all_68_1_121, all_0_5_5) = all_150_0_503
% 47.31/13.78 |
% 47.31/13.78 | Applying alpha-rule on (324) yields:
% 47.31/13.78 | (320) ~ (all_150_0_503 = 0)
% 47.31/13.78 | (326) member(all_68_1_121, all_0_5_5) = all_150_0_503
% 47.31/13.78 |
% 47.31/13.78 | Instantiating formula (186) with all_68_1_121, all_0_5_5, all_150_0_503, 0 and discharging atoms member(all_68_1_121, all_0_5_5) = all_150_0_503, member(all_68_1_121, all_0_5_5) = 0, yields:
% 47.31/13.78 | (322) all_150_0_503 = 0
% 47.31/13.78 |
% 47.31/13.78 | Equations (322) can reduce 320 to:
% 47.31/13.78 | (195) $false
% 47.31/13.78 |
% 47.31/13.78 |-The branch is then unsatisfiable
% 47.31/13.78 |-Branch two:
% 47.31/13.78 | (329) ~ (all_150_0_503 = 0) & member(all_68_2_122, all_0_4_4) = all_150_0_503
% 47.31/13.78 |
% 47.31/13.78 | Applying alpha-rule on (329) yields:
% 47.31/13.78 | (320) ~ (all_150_0_503 = 0)
% 47.31/13.78 | (331) member(all_68_2_122, all_0_4_4) = all_150_0_503
% 47.31/13.78 |
% 47.31/13.78 | Instantiating formula (186) with all_68_2_122, all_0_4_4, all_150_0_503, 0 and discharging atoms member(all_68_2_122, all_0_4_4) = all_150_0_503, member(all_68_2_122, all_0_4_4) = 0, yields:
% 47.31/13.78 | (322) all_150_0_503 = 0
% 47.31/13.78 |
% 47.31/13.79 | Equations (322) can reduce 320 to:
% 47.31/13.79 | (195) $false
% 47.31/13.79 |
% 47.31/13.79 |-The branch is then unsatisfiable
% 47.31/13.79 |-Branch two:
% 47.31/13.79 | (334) ~ (all_80_0_125 = all_68_0_120)
% 47.31/13.79 | (335) ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_2_122, all_80_0_125) = v0) | ( ~ (v0 = 0) & member(all_68_0_120, all_0_5_5) = v0) | ( ~ (v0 = 0) & member(all_68_2_122, all_0_4_4) = v0))
% 47.31/13.79 |
% 47.31/13.79 | Instantiating (335) with all_138_0_541 yields:
% 47.31/13.79 | (336) ( ~ (all_138_0_541 = 0) & apply(all_0_7_7, all_68_2_122, all_80_0_125) = all_138_0_541) | ( ~ (all_138_0_541 = 0) & member(all_68_0_120, all_0_5_5) = all_138_0_541) | ( ~ (all_138_0_541 = 0) & member(all_68_2_122, all_0_4_4) = all_138_0_541)
% 47.31/13.79 |
% 47.31/13.79 +-Applying beta-rule and splitting (336), into two cases.
% 47.31/13.79 |-Branch one:
% 47.31/13.79 | (337) ( ~ (all_138_0_541 = 0) & apply(all_0_7_7, all_68_2_122, all_80_0_125) = all_138_0_541) | ( ~ (all_138_0_541 = 0) & member(all_68_0_120, all_0_5_5) = all_138_0_541)
% 47.31/13.79 |
% 47.31/13.79 +-Applying beta-rule and splitting (337), into two cases.
% 47.31/13.79 |-Branch one:
% 47.31/13.79 | (338) ~ (all_138_0_541 = 0) & apply(all_0_7_7, all_68_2_122, all_80_0_125) = all_138_0_541
% 47.31/13.79 |
% 47.31/13.79 | Applying alpha-rule on (338) yields:
% 47.31/13.79 | (339) ~ (all_138_0_541 = 0)
% 47.31/13.79 | (340) apply(all_0_7_7, all_68_2_122, all_80_0_125) = all_138_0_541
% 47.31/13.79 |
% 47.31/13.79 | Instantiating formula (46) with all_0_7_7, all_68_2_122, all_80_0_125, all_138_0_541, 0 and discharging atoms apply(all_0_7_7, all_68_2_122, all_80_0_125) = all_138_0_541, apply(all_0_7_7, all_68_2_122, all_80_0_125) = 0, yields:
% 47.31/13.79 | (341) all_138_0_541 = 0
% 47.31/13.79 |
% 47.31/13.79 | Equations (341) can reduce 339 to:
% 47.31/13.79 | (195) $false
% 47.31/13.79 |
% 47.31/13.79 |-The branch is then unsatisfiable
% 47.31/13.79 |-Branch two:
% 47.31/13.79 | (343) ~ (all_138_0_541 = 0) & member(all_68_0_120, all_0_5_5) = all_138_0_541
% 47.31/13.79 |
% 47.31/13.79 | Applying alpha-rule on (343) yields:
% 47.31/13.79 | (339) ~ (all_138_0_541 = 0)
% 47.31/13.79 | (345) member(all_68_0_120, all_0_5_5) = all_138_0_541
% 47.31/13.79 |
% 47.31/13.79 | Instantiating formula (186) with all_68_0_120, all_0_5_5, all_138_0_541, 0 and discharging atoms member(all_68_0_120, all_0_5_5) = all_138_0_541, member(all_68_0_120, all_0_5_5) = 0, yields:
% 47.31/13.79 | (341) all_138_0_541 = 0
% 47.31/13.79 |
% 47.31/13.79 | Equations (341) can reduce 339 to:
% 47.31/13.79 | (195) $false
% 47.31/13.79 |
% 47.31/13.79 |-The branch is then unsatisfiable
% 47.31/13.79 |-Branch two:
% 47.31/13.79 | (348) ~ (all_138_0_541 = 0) & member(all_68_2_122, all_0_4_4) = all_138_0_541
% 47.31/13.79 |
% 47.31/13.79 | Applying alpha-rule on (348) yields:
% 47.31/13.79 | (339) ~ (all_138_0_541 = 0)
% 47.31/13.79 | (350) member(all_68_2_122, all_0_4_4) = all_138_0_541
% 47.31/13.79 |
% 47.31/13.79 | Instantiating formula (186) with all_68_2_122, all_0_4_4, all_138_0_541, 0 and discharging atoms member(all_68_2_122, all_0_4_4) = all_138_0_541, member(all_68_2_122, all_0_4_4) = 0, yields:
% 47.31/13.79 | (341) all_138_0_541 = 0
% 47.31/13.79 |
% 47.31/13.79 | Equations (341) can reduce 339 to:
% 47.31/13.79 | (195) $false
% 47.31/13.79 |
% 47.31/13.79 |-The branch is then unsatisfiable
% 47.31/13.79 |-Branch two:
% 47.31/13.79 | (353) ~ (all_92_0_128 = 0) & member(all_68_0_120, all_0_5_5) = all_92_0_128
% 47.31/13.79 |
% 47.31/13.79 | Applying alpha-rule on (353) yields:
% 47.31/13.79 | (247) ~ (all_92_0_128 = 0)
% 47.31/13.79 | (355) member(all_68_0_120, all_0_5_5) = all_92_0_128
% 47.31/13.79 |
% 47.31/13.79 | Instantiating formula (186) with all_68_0_120, all_0_5_5, all_92_0_128, 0 and discharging atoms member(all_68_0_120, all_0_5_5) = all_92_0_128, member(all_68_0_120, all_0_5_5) = 0, yields:
% 47.31/13.79 | (289) all_92_0_128 = 0
% 47.31/13.79 |
% 47.31/13.79 | Equations (289) can reduce 247 to:
% 47.31/13.79 | (195) $false
% 47.31/13.79 |
% 47.31/13.79 |-The branch is then unsatisfiable
% 47.31/13.79 |-Branch two:
% 47.31/13.79 | (358) ~ (all_92_0_128 = 0) & member(all_68_2_122, all_0_4_4) = all_92_0_128
% 47.31/13.79 |
% 47.31/13.79 | Applying alpha-rule on (358) yields:
% 47.31/13.79 | (247) ~ (all_92_0_128 = 0)
% 47.31/13.79 | (360) member(all_68_2_122, all_0_4_4) = all_92_0_128
% 47.31/13.79 |
% 47.31/13.79 | Instantiating formula (186) with all_68_2_122, all_0_4_4, all_92_0_128, 0 and discharging atoms member(all_68_2_122, all_0_4_4) = all_92_0_128, member(all_68_2_122, all_0_4_4) = 0, yields:
% 47.31/13.79 | (289) all_92_0_128 = 0
% 47.31/13.79 |
% 47.31/13.79 | Equations (289) can reduce 247 to:
% 47.31/13.79 | (195) $false
% 47.31/13.79 |
% 47.31/13.79 |-The branch is then unsatisfiable
% 47.31/13.79 |-Branch two:
% 47.31/13.79 | (363) ~ (all_84_0_127 = 0) & member(all_68_1_121, all_0_5_5) = all_84_0_127
% 47.31/13.79 |
% 47.31/13.79 | Applying alpha-rule on (363) yields:
% 47.31/13.79 | (364) ~ (all_84_0_127 = 0)
% 47.31/13.79 | (365) member(all_68_1_121, all_0_5_5) = all_84_0_127
% 47.31/13.79 |
% 47.31/13.79 | Instantiating formula (186) with all_68_1_121, all_0_5_5, all_84_0_127, 0 and discharging atoms member(all_68_1_121, all_0_5_5) = all_84_0_127, member(all_68_1_121, all_0_5_5) = 0, yields:
% 47.31/13.79 | (221) all_84_0_127 = 0
% 47.31/13.79 |
% 47.31/13.79 | Equations (221) can reduce 364 to:
% 47.31/13.79 | (195) $false
% 47.31/13.79 |
% 47.31/13.79 |-The branch is then unsatisfiable
% 47.31/13.79 |-Branch two:
% 47.31/13.79 | (368) ~ (all_84_0_127 = 0) & member(all_68_2_122, all_0_4_4) = all_84_0_127
% 47.31/13.79 |
% 47.31/13.79 | Applying alpha-rule on (368) yields:
% 47.31/13.79 | (364) ~ (all_84_0_127 = 0)
% 47.31/13.79 | (370) member(all_68_2_122, all_0_4_4) = all_84_0_127
% 47.31/13.79 |
% 47.31/13.79 | Instantiating formula (186) with all_68_2_122, all_0_4_4, all_84_0_127, 0 and discharging atoms member(all_68_2_122, all_0_4_4) = all_84_0_127, member(all_68_2_122, all_0_4_4) = 0, yields:
% 47.31/13.80 | (221) all_84_0_127 = 0
% 47.31/13.80 |
% 47.31/13.80 | Equations (221) can reduce 364 to:
% 47.31/13.80 | (195) $false
% 47.31/13.80 |
% 47.31/13.80 |-The branch is then unsatisfiable
% 47.31/13.80 % SZS output end Proof for theBenchmark
% 47.31/13.80
% 47.31/13.80 13163ms
%------------------------------------------------------------------------------