TSTP Solution File: SET724+4 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET724+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 00:21:39 EDT 2022
% Result : Theorem 29.87s 7.65s
% Output : Proof 36.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET724+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 00:11:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.46/0.59 ____ _
% 0.46/0.59 ___ / __ \_____(_)___ ________ __________
% 0.46/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.46/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.46/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.46/0.59
% 0.46/0.59 A Theorem Prover for First-Order Logic
% 0.46/0.59 (ePrincess v.1.0)
% 0.46/0.59
% 0.46/0.59 (c) Philipp Rümmer, 2009-2015
% 0.46/0.59 (c) Peter Backeman, 2014-2015
% 0.46/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.46/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.46/0.59 Bug reports to peter@backeman.se
% 0.46/0.59
% 0.46/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.46/0.59
% 0.46/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.86/0.97 Prover 0: Preprocessing ...
% 3.15/1.31 Prover 0: Warning: ignoring some quantifiers
% 3.28/1.34 Prover 0: Constructing countermodel ...
% 4.64/1.63 Prover 0: gave up
% 4.64/1.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.79/1.69 Prover 1: Preprocessing ...
% 5.89/1.91 Prover 1: Constructing countermodel ...
% 18.32/4.93 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 18.72/4.99 Prover 2: Preprocessing ...
% 19.73/5.24 Prover 2: Warning: ignoring some quantifiers
% 19.73/5.26 Prover 2: Constructing countermodel ...
% 26.10/6.76 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 26.10/6.78 Prover 3: Preprocessing ...
% 26.42/6.82 Prover 3: Warning: ignoring some quantifiers
% 26.42/6.82 Prover 3: Constructing countermodel ...
% 26.77/6.89 Prover 3: gave up
% 26.77/6.89 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 26.77/6.91 Prover 4: Preprocessing ...
% 27.47/7.11 Prover 4: Warning: ignoring some quantifiers
% 27.47/7.11 Prover 4: Constructing countermodel ...
% 29.87/7.65 Prover 4: proved (766ms)
% 29.87/7.65 Prover 2: stopped
% 29.87/7.65 Prover 1: stopped
% 29.87/7.65
% 29.87/7.65 No countermodel exists, formula is valid
% 29.87/7.65 % SZS status Theorem for theBenchmark
% 29.87/7.65
% 29.87/7.65 Generating proof ... Warning: ignoring some quantifiers
% 35.61/9.03 found it (size 246)
% 35.61/9.03
% 35.61/9.03 % SZS output start Proof for theBenchmark
% 35.61/9.03 Assumed formulas after preprocessing and simplification:
% 35.61/9.03 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = 0) & surjective(v0, v3, v4) = 0 & equal_maps(v6, v7, v3, v5) = 0 & equal_maps(v1, v2, v4, v5) = v8 & compose_function(v2, v0, v3, v4, v5) = v7 & compose_function(v1, v0, v3, v4, v5) = v6 & maps(v2, v4, v5) = 0 & maps(v1, v4, v5) = 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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (apply(v9, v16, v17) = v24 & apply(v9, v14, v15) = v23 & member(v17, v12) = v22 & member(v16, v10) = v21 & member(v15, v12) = v20 & member(v14, v10) = v19 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (apply(v9, v16, v17) = v24 & apply(v9, v14, v15) = v23 & member(v17, v12) = v22 & member(v16, v10) = v21 & member(v15, v12) = v20 & member(v14, v10) = v19 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (apply(v9, v16, v17) = v24 & apply(v9, v14, v15) = v23 & member(v17, v12) = v22 & member(v16, v10) = v21 & member(v15, v12) = v20 & member(v14, v10) = v19 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v11, v14, v16) = v22 & apply(v9, v14, v15) = v23 & member(v17, v12) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v11, v14, v16) = v22 & apply(v9, v16, v17) = v23 & member(v17, v12) = v21 & member(v15, v12) = v20 & member(v14, v10) = v19 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v11, v14, v16) = v21 & apply(v9, v16, v17) = v23 & apply(v9, v14, v15) = v22 & member(v17, v12) = v20 & member(v15, v12) = v19 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (apply(v9, v16, v17) = v24 & apply(v9, v14, v15) = v23 & member(v17, v12) = v22 & member(v16, v10) = v21 & member(v15, v12) = v20 & member(v14, v10) = v19 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v11, v14, v16) = v22 & apply(v9, v14, v15) = v23 & member(v17, v12) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v11, v14, v16) = v22 & apply(v9, v16, v17) = v23 & member(v17, v12) = v21 & member(v15, v12) = v20 & member(v14, v10) = v19 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v11, v14, v16) = v21 & apply(v9, v16, v17) = v23 & apply(v9, v14, v15) = v22 & member(v17, v12) = v20 & member(v15, v12) = v19 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0)))) & ! [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] : ? [v20] : ((apply(v9, v18, v15) = v20 & member(v18, v12) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))) | (member(v15, v13) = v20 & member(v14, v11) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [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] : ? [v20] : ((apply(v10, v14, v18) = v20 & member(v18, v12) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))) | (member(v15, v13) = v20 & member(v14, v11) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [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] : ? [v20] : ((apply(v10, v14, v18) = v19 & apply(v9, v18, v15) = v20 & ( ~ (v20 = 0) | ~ (v19 = 0))) | (member(v15, v13) = v20 & member(v14, v11) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [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] : ? [v20] : ((apply(v10, v18, v16) = v20 & member(v18, v13) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))) | (member(v16, v14) = v20 & member(v15, v12) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [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] : ? [v20] : ((apply(v11, v15, v18) = v20 & member(v18, v13) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))) | (member(v16, v14) = v20 & member(v15, v12) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [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] : ? [v20] : ((apply(v11, v15, v18) = v19 & apply(v10, v18, v16) = v20 & ( ~ (v20 = 0) | ~ (v19 = 0))) | (member(v16, v14) = v20 & member(v15, v12) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0))))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v11, v14, v16) = v23 & apply(v9, v14, v15) = v22 & member(v17, v12) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | (( ~ (v23 = 0) | v18 = 0) & ( ~ (v18 = 0) | v23 = 0))))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v11, v14, v16) = v23 & apply(v9, v16, v17) = v22 & member(v17, v12) = v21 & member(v15, v12) = v20 & member(v14, v10) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | (( ~ (v23 = 0) | v18 = 0) & ( ~ (v18 = 0) | v23 = 0))))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v11, v14, v16) = v23 & apply(v9, v16, v17) = v22 & apply(v9, v14, v15) = v21 & member(v17, v12) = v20 & member(v15, v12) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | (( ~ (v23 = 0) | v18 = 0) & ( ~ (v18 = 0) | v23 = 0))))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v13, v15, v17) = v23 & apply(v9, v14, v15) = v22 & member(v17, v12) = v21 & member(v16, v10) = v20 & member(v14, v10) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | (( ~ (v23 = 0) | v18 = 0) & ( ~ (v18 = 0) | v23 = 0))))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v13, v15, v17) = v23 & apply(v9, v16, v17) = v22 & member(v16, v10) = v21 & member(v15, v12) = v20 & member(v14, v10) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | (( ~ (v23 = 0) | v18 = 0) & ( ~ (v18 = 0) | v23 = 0))))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v13, v15, v17) = v23 & apply(v9, v16, v17) = v22 & apply(v9, v14, v15) = v21 & member(v16, v10) = v20 & member(v14, v10) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | (( ~ (v23 = 0) | v18 = 0) & ( ~ (v18 = 0) | v23 = 0))))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v13, v15, v17) = v23 & apply(v11, v14, v16) = v22 & member(v17, v12) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | (( ~ (v23 = 0) | v22 = 0) & ( ~ (v22 = 0) | v23 = 0))))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v15, v17) = v22 & apply(v11, v14, v16) = v21 & apply(v9, v14, v15) = v20 & member(v17, v12) = v19 & member(v16, v10) = v18 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | (( ~ (v22 = 0) | v21 = 0) & ( ~ (v21 = 0) | v22 = 0))))) & ! [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] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v15, v17) = v22 & apply(v11, v14, v16) = v21 & apply(v9, v16, v17) = v20 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | (( ~ (v22 = 0) | v21 = 0) & ( ~ (v21 = 0) | v22 = 0))))) & ! [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] : ? [v20] : ? [v21] : (apply(v13, v15, v17) = v21 & apply(v11, v14, v16) = v20 & apply(v9, v16, v17) = v19 & apply(v9, v14, v15) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0) | (( ~ (v21 = 0) | v20 = 0) & ( ~ (v20 = 0) | v21 = 0))))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v17, v15) = v22 & apply(v9, v14, v15) = v21 & member(v17, v12) = v20 & member(v16, v10) = v19 & member(v14, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v17, v15) = v22 & apply(v9, v16, v17) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v17, v15) = v22 & apply(v9, v16, v17) = v21 & apply(v9, v14, v15) = v20 & member(v16, v10) = v19 & member(v14, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v13, v17, v15) = v23 & apply(v11, v14, v16) = v22 & member(v17, v12) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v23 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v17, v15) = v22 & apply(v11, v14, v16) = v20 & apply(v9, v14, v15) = v21 & member(v17, v12) = v19 & member(v16, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v17, v15) = v22 & apply(v11, v14, v16) = v20 & apply(v9, v16, v17) = v21 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : (apply(v13, v17, v15) = v21 & apply(v11, v14, v16) = v18 & apply(v9, v16, v17) = v20 & apply(v9, v14, v15) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v21 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v15, v17) = v22 & apply(v9, v14, v15) = v21 & member(v17, v12) = v20 & member(v16, v10) = v19 & member(v14, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v15, v17) = v22 & apply(v9, v16, v17) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v15, v17) = v22 & apply(v9, v16, v17) = v21 & apply(v9, v14, v15) = v20 & member(v16, v10) = v19 & member(v14, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v13, v15, v17) = v23 & apply(v11, v14, v16) = v22 & member(v17, v12) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v23 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v15, v17) = v22 & apply(v11, v14, v16) = v20 & apply(v9, v14, v15) = v21 & member(v17, v12) = v19 & member(v16, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v13, v15, v17) = v22 & apply(v11, v14, v16) = v20 & apply(v9, v16, v17) = v21 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v22 = 0))) & ! [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] : ? [v19] : ? [v20] : ? [v21] : (apply(v13, v15, v17) = v21 & apply(v11, v14, v16) = v18 & apply(v9, v16, v17) = v20 & apply(v9, v14, v15) = v19 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v21 = 0))) & ! [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) | (member(v15, v13) = v18 & member(v14, v11) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [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) | (member(v16, v14) = v18 & member(v15, v12) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [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] : ? [v17] : ? [v18] : (member(v15, v12) = v18 & member(v14, v12) = v17 & member(v13, v11) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [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] : ? [v17] : ? [v18] : (apply(v9, v13, v14) = v18 & member(v15, v12) = v17 & member(v13, v11) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [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] : ? [v17] : ? [v18] : (apply(v10, v13, v15) = v18 & member(v14, v12) = v17 & member(v13, v11) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [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] : ? [v17] : (apply(v10, v13, v15) = v17 & apply(v9, v13, v14) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0)))) & ! [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] : (apply(v9, v16, v17) = v18 & member(v17, v14) = 0 & member(v16, v12) = 0 & ( ~ (v18 = 0) | ( ! [v23] : ( ~ (apply(v11, v16, v23) = 0) | ? [v24] : ? [v25] : (apply(v10, v23, v17) = v25 & member(v23, v13) = v24 & ( ~ (v25 = 0) | ~ (v24 = 0)))) & ! [v23] : ( ~ (apply(v10, v23, v17) = 0) | ? [v24] : ? [v25] : (apply(v11, v16, v23) = v25 & member(v23, v13) = v24 & ( ~ (v25 = 0) | ~ (v24 = 0)))) & ! [v23] : ( ~ (member(v23, v13) = 0) | ? [v24] : ? [v25] : (apply(v11, v16, v23) = v24 & apply(v10, v23, v17) = v25 & ( ~ (v25 = 0) | ~ (v24 = 0)))))) & (v18 = 0 | (v22 = 0 & v21 = 0 & v20 = 0 & apply(v11, v16, v19) = 0 & apply(v10, v19, v17) = 0 & member(v19, v13) = 0)))) & ! [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] : ? [v17] : ? [v18] : (apply(v9, v12, v13) = v18 & member(v13, v11) = v17 & member(v12, v10) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | (( ~ (v18 = 0) | v15 = 0) & ( ~ (v15 = 0) | v18 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inverse_predicate(v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : (apply(v9, v14, v13) = v18 & member(v14, v12) = v17 & member(v13, v11) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | (( ~ (v18 = 0) | v15 = 0) & ( ~ (v15 = 0) | v18 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inverse_predicate(v9, v10, v11, v12) = 0) | ~ (apply(v9, v14, v13) = v15) | ? [v16] : ? [v17] : ? [v18] : (apply(v10, v13, v14) = v18 & member(v14, v12) = v17 & member(v13, v11) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | (( ~ (v18 = 0) | v15 = 0) & ( ~ (v15 = 0) | v18 = 0))))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (maps(v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (apply(v9, v12, v13) = 0) | ? [v15] : ? [v16] : ? [v17] : (member(v14, v11) = v17 & member(v13, v11) = v16 & member(v12, v10) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (maps(v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (member(v13, v11) = 0) | ? [v15] : ? [v16] : ? [v17] : (apply(v9, v12, v13) = v17 & member(v14, v11) = v16 & member(v12, v10) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (maps(v9, v10, v11) = 0) | ~ (apply(v9, v12, v13) = 0) | ~ (member(v14, v11) = 0) | ? [v15] : ? [v16] : ? [v17] : (apply(v9, v12, v14) = v17 & member(v13, v11) = v16 & member(v12, v10) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [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] : ? [v16] : (apply(v9, v12, v14) = v16 & apply(v9, v12, v13) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [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(v13, v16, v18) = v26 & apply(v11, v15, v17) = v25 & 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) | ~ (v25 = 0)) & (v26 = 0 | v25 = 0)) | (one_to_one(v9, v10, v12) = v16 & maps(v9, v10, v12) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [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] : ? [v16] : ? [v17] : (member(v14, v11) = v17 & member(v13, v10) = v16 & member(v12, v10) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (injective(v9, v10, v11) = 0) | ~ (apply(v9, v13, v14) = 0) | ~ (member(v12, v10) = 0) | ? [v15] : ? [v16] : ? [v17] : (apply(v9, v12, v14) = v17 & member(v14, v11) = v16 & member(v13, v10) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (injective(v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (member(v13, v10) = 0) | ? [v15] : ? [v16] : ? [v17] : (apply(v9, v13, v14) = v17 & member(v14, v11) = v16 & member(v12, v10) = v15 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0)))) & ! [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] : ? [v16] : (apply(v9, v13, v14) = v16 & apply(v9, v12, v14) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [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] : (apply(v10, v14, v15) = v16 & apply(v9, v15, v14) = v17 & member(v15, v12) = 0 & member(v14, v11) = 0 & ( ~ (v17 = 0) | ~ (v16 = 0)) & (v17 = 0 | v16 = 0))) & ! [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] : ? [v15] : (member(v9, v11) = v14 & member(v9, v10) = v15 & ( ~ (v14 = 0) | v15 = 0))) & ! [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] : ? [v15] : (member(v9, v11) = v15 & member(v9, v10) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [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] : ? [v14] : (surjective(v9, v10, v11) = v14 & injective(v9, v10, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [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] : ? [v14] : (one_to_one(v9, v10, v11) = v13 & injective(v9, v10, v11) = v14 & ( ~ (v13 = 0) | (v14 = 0 & v12 = 0)))) & ! [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] : ? [v14] : (one_to_one(v9, v10, v11) = v13 & surjective(v9, v10, v11) = v14 & ( ~ (v13 = 0) | (v14 = 0 & v12 = 0)))) & ! [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] : ? [v14] : (member(v9, v11) = v14 & member(v9, v10) = v13 & (v14 = 0 | v13 = 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] : ? [v13] : (subset(v10, v9) = v13 & subset(v9, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [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] : ? [v13] : (one_to_one(v9, v10, v11) = v13 & injective(v9, v10, v11) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (injective(v9, v10, v11) = 0) | ? [v12] : ? [v13] : (one_to_one(v9, v10, v11) = v13 & surjective(v9, v10, v11) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ! [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] : ? [v13] : (equal_set(v9, v10) = v12 & subset(v9, v10) = v13 & ( ~ (v12 = 0) | (v13 = 0 & v11 = 0)))) & ! [v9] : ! [v10] : ! [v11] : ( ~ (subset(v9, v10) = v11) | ? [v12] : ? [v13] : (equal_set(v9, v10) = v12 & subset(v10, v9) = v13 & ( ~ (v12 = 0) | (v13 = 0 & v11 = 0)))) & ! [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] : ? [v12] : (equal_set(v9, v10) = v12 & subset(v9, v10) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (subset(v9, v10) = 0) | ? [v11] : ? [v12] : (equal_set(v9, v10) = v12 & subset(v10, v9) = v11 & ( ~ (v11 = 0) | v12 = 0))) & ! [v9] : ! [v10] : ( ~ (subset(v9, v10) = 0) | ? [v11] : (power_set(v10) = v11 & member(v9, v11) = 0)) & ! [v9] : ~ (member(v9, empty_set) = 0) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v25 = 0) & apply(v13, v17, v15) = v25 & apply(v11, v14, v16) = 0 & apply(v9, v16, v17) = 0 & apply(v9, v14, v15) = 0 & member(v17, v12) = 0 & member(v16, v10) = 0 & member(v15, v12) = 0 & member(v14, v10) = 0) | (v14 = 0 & decreasing(v9, v10, v11, v12, v13) = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v25 = 0) & apply(v13, v15, v17) = v25 & apply(v11, v14, v16) = 0 & apply(v9, v16, v17) = 0 & apply(v9, v14, v15) = 0 & member(v17, v12) = 0 & member(v16, v10) = 0 & member(v15, v12) = 0 & member(v14, v10) = 0) | (v14 = 0 & increasing(v9, v10, v11, v12, v13) = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v18 = 0) & decreasing(v9, v10, v11, v12, v13) = v18) | (apply(v13, v17, v15) = v25 & apply(v11, v14, v16) = v22 & apply(v9, v16, v17) = v24 & apply(v9, v14, v15) = v23 & member(v17, v12) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v25 = 0))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v18 = 0) & increasing(v9, v10, v11, v12, v13) = v18) | (apply(v13, v15, v17) = v25 & apply(v11, v14, v16) = v22 & apply(v9, v16, v17) = v24 & apply(v9, v14, v15) = v23 & member(v17, v12) = v21 & member(v16, v10) = v20 & member(v15, v12) = v19 & member(v14, v10) = v18 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | v25 = 0))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v18 = 0 & v17 = 0 & apply(v9, v15, v16) = v19 & member(v16, v14) = 0 & member(v15, v12) = 0 & ( ~ (v19 = 0) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (apply(v11, v15, v24) = v26 & apply(v10, v24, v16) = v27 & member(v24, v13) = v25 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0)))) & (v19 = 0 | (v23 = 0 & v22 = 0 & v21 = 0 & apply(v11, v15, v20) = 0 & apply(v10, v20, v16) = 0 & member(v20, v13) = 0))) | (v15 = 0 & compose_predicate(v9, v10, v11, v12, v13, v14) = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (( ~ (v17 = 0) & compose_predicate(v9, v10, v11, v12, v13, v14) = v17) | (apply(v9, v15, v16) = v19 & member(v16, v14) = v18 & member(v15, v12) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | (( ~ (v19 = 0) | (v23 = 0 & v22 = 0 & v21 = 0 & apply(v11, v15, v20) = 0 & apply(v10, v20, v16) = 0 & member(v20, v13) = 0)) & (v19 = 0 | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (apply(v11, v15, v24) = v26 & apply(v10, v24, v16) = v27 & member(v24, v13) = v25 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0)))))))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (compose_function(v9, v10, v11, v12, v13) = v18 & apply(v18, v14, v15) = v19 & member(v15, v13) = v17 & member(v14, v11) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | (( ~ (v19 = 0) | (v23 = 0 & v22 = 0 & v21 = 0 & apply(v10, v14, v20) = 0 & apply(v9, v20, v15) = 0 & member(v20, v12) = 0)) & (v19 = 0 | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (apply(v10, v14, v24) = v26 & apply(v9, v24, v15) = v27 & member(v24, v12) = v25 & ( ~ (v27 = 0) | ~ (v26 = 0) | ~ (v25 = 0))))))) & ? [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(v10, v13, v15) = 0 & apply(v9, v13, v14) = 0 & member(v15, v12) = 0 & member(v14, v12) = 0 & member(v13, v11) = 0) | (v13 = 0 & equal_maps(v9, v10, v11, v12) = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v16 = 0 & v15 = 0 & apply(v10, v13, v14) = v17 & apply(v9, v14, v13) = v18 & member(v14, v12) = 0 & member(v13, v11) = 0 & ( ~ (v18 = 0) | ~ (v17 = 0)) & (v18 = 0 | v17 = 0)) | (v13 = 0 & inverse_predicate(v9, v10, v11, v12) = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (( ~ (v15 = 0) & inverse_predicate(v9, v10, v11, v12) = v15) | (apply(v10, v13, v14) = v17 & apply(v9, v14, v13) = v18 & member(v14, v12) = v16 & member(v13, v11) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | (( ~ (v18 = 0) | v17 = 0) & ( ~ (v17 = 0) | v18 = 0))))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (inverse_image3(v9, v10, v11) = v13 & member(v12, v13) = v14 & member(v12, v11) = v15 & ( ~ (v14 = 0) | (v18 = 0 & v17 = 0 & v15 = 0 & apply(v9, v12, v16) = 0 & member(v16, v10) = 0))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (image3(v9, v10, v11) = v13 & member(v12, v13) = v14 & member(v12, v11) = v15 & ( ~ (v14 = 0) | (v18 = 0 & v17 = 0 & v15 = 0 & apply(v9, v16, v12) = 0 & member(v16, v10) = 0))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (inverse_function(v9, v10, v11) = v17 & apply(v17, v13, v12) = v18 & apply(v9, v12, v13) = v16 & member(v13, v11) = v15 & member(v12, v10) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | (( ~ (v18 = 0) | v16 = 0) & ( ~ (v16 = 0) | v18 = 0)))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (isomorphism(v9, v10, v11, v12, v13) = v14 & one_to_one(v9, v10, v12) = v16 & maps(v9, v10, v12) = v15 & ( ~ (v14 = 0) | (v16 = 0 & v15 = 0 & ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (apply(v13, v18, v20) = v28 & apply(v11, v17, v19) = v27 & apply(v9, v19, v20) = v26 & apply(v9, v17, v18) = v25 & member(v20, v12) = v24 & member(v19, v10) = v23 & member(v18, v12) = v22 & member(v17, v10) = v21 & ( ~ (v26 = 0) | ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | (( ~ (v28 = 0) | v27 = 0) & ( ~ (v27 = 0) | v28 = 0))))))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (v15 = v14 | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (( ~ (v16 = 0) & equal_maps(v9, v10, v11, v12) = v16) | (apply(v10, v13, v15) = v20 & apply(v9, v13, v14) = v19 & member(v15, v12) = v18 & member(v14, v12) = v17 & member(v13, v11) = v16 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (difference(v11, v10) = v14 & member(v9, v14) = v15 & member(v9, v11) = v12 & member(v9, v10) = v13 & ( ~ (v12 = 0) | v15 = 0 | v13 = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (union(v10, v11) = v14 & member(v9, v14) = v15 & member(v9, v11) = v13 & member(v9, v10) = v12 & (v15 = 0 | ( ~ (v13 = 0) & ~ (v12 = 0)))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (intersection(v10, v11) = v14 & member(v9, v14) = v15 & member(v9, v11) = v13 & member(v9, v10) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | v15 = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = 0 & v13 = 0 & apply(v9, v12, v11) = 0 & member(v12, v10) = 0) | ( ~ (v13 = 0) & image2(v9, v10) = v12 & member(v11, v12) = v13)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = 0 & v13 = 0 & apply(v9, v11, v12) = 0 & member(v12, v10) = 0) | ( ~ (v13 = 0) & inverse_image2(v9, v10) = v12 & member(v11, v12) = v13)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = 0 & inverse_image2(v9, v10) = v13 & member(v11, v13) = 0) | (apply(v9, v11, v12) = v14 & member(v12, v10) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v14 = 0 & image2(v9, v10) = v13 & member(v11, v13) = 0) | (apply(v9, v12, v11) = v14 & member(v12, v10) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (one_to_one(v9, v10, v11) = v14 & surjective(v9, v10, v11) = v13 & injective(v9, v10, v11) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = 0 & v12 = 0 & member(v11, v10) = 0 & member(v9, v11) = 0) | ( ~ (v12 = 0) & sum(v10) = v11 & member(v9, v11) = v12)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v13 = 0 & sum(v10) = v12 & member(v9, v12) = 0) | (member(v11, v10) = v12 & member(v9, v11) = v13 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v12 = 0 & ~ (v13 = 0) & apply(v9, v11, v11) = v13 & member(v11, v10) = 0) | (v11 = 0 & identity(v9, v10) = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ((v12 = 0 & ~ (v13 = 0) & member(v11, v10) = 0 & member(v9, v11) = v13) | (v12 = 0 & product(v10) = v11 & member(v9, v11) = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v13 = 0) & product(v10) = v12 & member(v9, v12) = v13) | (member(v11, v10) = v12 & member(v9, v11) = v13 & ( ~ (v12 = 0) | v13 = 0))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (( ~ (v12 = 0) & identity(v9, v10) = v12) | (apply(v9, v11, v11) = v13 & member(v11, v10) = v12 & ( ~ (v12 = 0) | v13 = 0))) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (power_set(v10) = v12 & subset(v9, v10) = v11 & member(v9, v12) = v13 & ( ~ (v11 = 0) | v13 = 0)) & ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (equal_set(v9, v10) = v13 & subset(v10, v9) = v12 & subset(v9, v10) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0) | v13 = 0)) & ? [v9] : ? [v10] : ? [v11] : (v11 = v9 | v10 = v9 | ? [v12] : ? [v13] : ( ~ (v13 = 0) & unordered_pair(v10, v11) = v12 & member(v9, v12) = v13)) & ? [v9] : ? [v10] : ? [v11] : (unordered_pair(v10, v9) = v11 & member(v9, v11) = 0) & ? [v9] : ? [v10] : ? [v11] : (unordered_pair(v9, v10) = v11 & member(v9, v11) = 0) & ? [v9] : ? [v10] : (v10 = v9 | ? [v11] : ? [v12] : ( ~ (v12 = 0) & singleton(v10) = v11 & member(v9, v11) = v12)) & ? [v9] : ? [v10] : (singleton(v9) = v10 & member(v9, v10) = 0))
% 35.95/9.14 | 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:
% 35.95/9.14 | (1) ~ (all_0_0_0 = 0) & surjective(all_0_8_8, all_0_5_5, all_0_4_4) = 0 & equal_maps(all_0_2_2, all_0_1_1, all_0_5_5, all_0_3_3) = 0 & equal_maps(all_0_7_7, all_0_6_6, all_0_4_4, all_0_3_3) = all_0_0_0 & compose_function(all_0_6_6, all_0_8_8, all_0_5_5, all_0_4_4, all_0_3_3) = all_0_1_1 & compose_function(all_0_7_7, all_0_8_8, all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2 & maps(all_0_6_6, all_0_4_4, all_0_3_3) = 0 & maps(all_0_7_7, all_0_4_4, all_0_3_3) = 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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v13 & apply(v0, v5, v6) = v14 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v13 & apply(v0, v7, v8) = v14 & member(v8, v3) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v12 & apply(v0, v7, v8) = v14 & apply(v0, v5, v6) = v13 & member(v8, v3) = v11 & member(v6, v3) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v13 & apply(v0, v5, v6) = v14 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v13 & apply(v0, v7, v8) = v14 & member(v8, v3) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v12 & apply(v0, v7, v8) = v14 & apply(v0, v5, v6) = v13 & member(v8, v3) = v11 & member(v6, v3) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0)))) & ! [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] : ? [v11] : ((apply(v0, v9, v6) = v11 & member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [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] : ? [v11] : ((apply(v1, v5, v9) = v11 & member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [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] : ? [v11] : ((apply(v1, v5, v9) = v10 & apply(v0, v9, v6) = v11 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [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] : ? [v11] : ((apply(v1, v9, v7) = v11 & member(v9, v4) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v7, v5) = v11 & member(v6, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [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] : ? [v11] : ((apply(v2, v6, v9) = v11 & member(v9, v4) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v7, v5) = v11 & member(v6, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [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] : ? [v11] : ((apply(v2, v6, v9) = v10 & apply(v1, v9, v7) = v11 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v7, v5) = v11 & member(v6, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v14 & apply(v0, v5, v6) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0))))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v14 & apply(v0, v7, v8) = v13 & member(v8, v3) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0))))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v14 & apply(v0, v7, v8) = v13 & apply(v0, v5, v6) = v12 & member(v8, v3) = v11 & member(v6, v3) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0))))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v0, v5, v6) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v5, v1) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0))))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v0, v7, v8) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0))))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v0, v7, v8) = v13 & apply(v0, v5, v6) = v12 & member(v7, v1) = v11 & member(v5, v1) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0))))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v14 = 0) | v13 = 0) & ( ~ (v13 = 0) | v14 = 0))))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v2, v5, v7) = v12 & apply(v0, v5, v6) = v11 & member(v8, v3) = v10 & member(v7, v1) = v9 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v13 = 0) | v12 = 0) & ( ~ (v12 = 0) | v13 = 0))))) & ! [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] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v2, v5, v7) = v12 & apply(v0, v7, v8) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v13 = 0) | v12 = 0) & ( ~ (v12 = 0) | v13 = 0))))) & ! [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] : ? [v11] : ? [v12] : (apply(v4, v6, v8) = v12 & apply(v2, v5, v7) = v11 & apply(v0, v7, v8) = v10 & apply(v0, v5, v6) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v12 = 0) | v11 = 0) & ( ~ (v11 = 0) | v12 = 0))))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v0, v5, v6) = v12 & member(v8, v3) = v11 & member(v7, v1) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v0, v7, v8) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v0, v7, v8) = v12 & apply(v0, v5, v6) = v11 & member(v7, v1) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v8, v6) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v2, v5, v7) = v11 & apply(v0, v5, v6) = v12 & member(v8, v3) = v10 & member(v7, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v2, v5, v7) = v11 & apply(v0, v7, v8) = v12 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : (apply(v4, v8, v6) = v12 & apply(v2, v5, v7) = v9 & apply(v0, v7, v8) = v11 & apply(v0, v5, v6) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v12 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v0, v5, v6) = v12 & member(v8, v3) = v11 & member(v7, v1) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v0, v7, v8) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v0, v7, v8) = v12 & apply(v0, v5, v6) = v11 & member(v7, v1) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v2, v5, v7) = v11 & apply(v0, v5, v6) = v12 & member(v8, v3) = v10 & member(v7, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v2, v5, v7) = v11 & apply(v0, v7, v8) = v12 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0))) & ! [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] : ? [v10] : ? [v11] : ? [v12] : (apply(v4, v6, v8) = v12 & apply(v2, v5, v7) = v9 & apply(v0, v7, v8) = v11 & apply(v0, v5, v6) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v12 = 0))) & ! [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) | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & ! [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) | (member(v7, v5) = v9 & member(v6, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & ! [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] : ? [v8] : ? [v9] : (member(v6, v3) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [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] : ? [v8] : ? [v9] : (apply(v0, v4, v5) = v9 & member(v6, v3) = v8 & member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [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] : ? [v8] : ? [v9] : (apply(v1, v4, v6) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [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] : ? [v8] : (apply(v1, v4, v6) = v8 & apply(v0, v4, v5) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0)))) & ! [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] : (apply(v0, v7, v8) = v9 & member(v8, v5) = 0 & member(v7, v3) = 0 & ( ~ (v9 = 0) | ( ! [v14] : ( ~ (apply(v2, v7, v14) = 0) | ? [v15] : ? [v16] : (apply(v1, v14, v8) = v16 & member(v14, v4) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : ? [v16] : (apply(v2, v7, v14) = v16 & member(v14, v4) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (member(v14, v4) = 0) | ? [v15] : ? [v16] : (apply(v2, v7, v14) = v15 & apply(v1, v14, v8) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))))) & (v9 = 0 | (v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0)))) & ! [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] : ? [v8] : ? [v9] : (apply(v0, v3, v4) = v9 & member(v4, v2) = v8 & member(v3, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (apply(v0, v5, v4) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : ? [v8] : ? [v9] : (apply(v1, v4, v5) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : ? [v7] : ? [v8] : (member(v5, v2) = v8 & member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ? [v6] : ? [v7] : ? [v8] : (apply(v0, v3, v4) = v8 & member(v5, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ (member(v5, v2) = 0) | ? [v6] : ? [v7] : ? [v8] : (apply(v0, v3, v5) = v8 & member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [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] : ? [v7] : (apply(v0, v3, v5) = v7 & apply(v0, v3, v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [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(v4, v7, v9) = v17 & apply(v2, v6, v8) = v16 & 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) | ~ (v16 = 0)) & (v17 = 0 | v16 = 0)) | (one_to_one(v0, v1, v3) = v7 & maps(v0, v1, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [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] : ? [v7] : ? [v8] : (member(v5, v2) = v8 & member(v4, v1) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : ? [v7] : ? [v8] : (apply(v0, v3, v5) = v8 & member(v5, v2) = v7 & member(v4, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v1) = 0) | ? [v6] : ? [v7] : ? [v8] : (apply(v0, v4, v5) = v8 & member(v5, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [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] : ? [v7] : (apply(v0, v4, v5) = v7 & apply(v0, v3, v5) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [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] : (apply(v1, v5, v6) = v7 & apply(v0, v6, v5) = v8 & member(v6, v3) = 0 & member(v5, v2) = 0 & ( ~ (v8 = 0) | ~ (v7 = 0)) & (v8 = 0 | v7 = 0))) & ! [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] : ? [v6] : (member(v0, v2) = v5 & member(v0, v1) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [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] : ? [v6] : (member(v0, v2) = v6 & member(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [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] : ? [v5] : (surjective(v0, v1, v2) = v5 & injective(v0, v1, v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [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] : ? [v5] : (one_to_one(v0, v1, v2) = v4 & injective(v0, v1, v2) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [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] : ? [v5] : (one_to_one(v0, v1, v2) = v4 & surjective(v0, v1, v2) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [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] : ? [v5] : (member(v0, v2) = v5 & member(v0, v1) = v4 & (v5 = 0 | v4 = 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] : ? [v4] : (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [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] : ? [v4] : (one_to_one(v0, v1, v2) = v4 & injective(v0, v1, v2) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (injective(v0, v1, v2) = 0) | ? [v3] : ? [v4] : (one_to_one(v0, v1, v2) = v4 & surjective(v0, v1, v2) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [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] : ? [v4] : (equal_set(v0, v1) = v3 & subset(v0, v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : (equal_set(v0, v1) = v3 & subset(v1, v0) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) & ! [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] : ? [v3] : (equal_set(v0, v1) = v3 & subset(v0, v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ? [v3] : (equal_set(v0, v1) = v3 & subset(v1, v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0)) & ! [v0] : ~ (member(v0, empty_set) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v16 = 0) & apply(v4, v8, v6) = v16 & apply(v2, v5, v7) = 0 & apply(v0, v7, v8) = 0 & apply(v0, v5, v6) = 0 & member(v8, v3) = 0 & member(v7, v1) = 0 & member(v6, v3) = 0 & member(v5, v1) = 0) | (v5 = 0 & decreasing(v0, v1, v2, v3, v4) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v16 = 0) & apply(v4, v6, v8) = v16 & apply(v2, v5, v7) = 0 & apply(v0, v7, v8) = 0 & apply(v0, v5, v6) = 0 & member(v8, v3) = 0 & member(v7, v1) = 0 & member(v6, v3) = 0 & member(v5, v1) = 0) | (v5 = 0 & increasing(v0, v1, v2, v3, v4) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (( ~ (v9 = 0) & decreasing(v0, v1, v2, v3, v4) = v9) | (apply(v4, v8, v6) = v16 & apply(v2, v5, v7) = v13 & apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v16 = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (( ~ (v9 = 0) & increasing(v0, v1, v2, v3, v4) = v9) | (apply(v4, v6, v8) = v16 & apply(v2, v5, v7) = v13 & apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v16 = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v9 = 0 & v8 = 0 & apply(v0, v6, v7) = v10 & member(v7, v5) = 0 & member(v6, v3) = 0 & ( ~ (v10 = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (apply(v2, v6, v15) = v17 & apply(v1, v15, v7) = v18 & member(v15, v4) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & (v10 = 0 | (v14 = 0 & v13 = 0 & v12 = 0 & apply(v2, v6, v11) = 0 & apply(v1, v11, v7) = 0 & member(v11, v4) = 0))) | (v6 = 0 & compose_predicate(v0, v1, v2, v3, v4, v5) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (( ~ (v8 = 0) & compose_predicate(v0, v1, v2, v3, v4, v5) = v8) | (apply(v0, v6, v7) = v10 & member(v7, v5) = v9 & member(v6, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | (( ~ (v10 = 0) | (v14 = 0 & v13 = 0 & v12 = 0 & apply(v2, v6, v11) = 0 & apply(v1, v11, v7) = 0 & member(v11, v4) = 0)) & (v10 = 0 | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (apply(v2, v6, v15) = v17 & apply(v1, v15, v7) = v18 & member(v15, v4) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))))))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (compose_function(v0, v1, v2, v3, v4) = v9 & apply(v9, v5, v6) = v10 & member(v6, v4) = v8 & member(v5, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v10 = 0) | (v14 = 0 & v13 = 0 & v12 = 0 & apply(v1, v5, v11) = 0 & apply(v0, v11, v6) = 0 & member(v11, v3) = 0)) & (v10 = 0 | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (apply(v1, v5, v15) = v17 & apply(v0, v15, v6) = v18 & member(v15, v3) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))))) & ? [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(v1, v4, v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v3) = 0 & member(v5, v3) = 0 & member(v4, v2) = 0) | (v4 = 0 & equal_maps(v0, v1, v2, v3) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v7 = 0 & v6 = 0 & apply(v1, v4, v5) = v8 & apply(v0, v5, v4) = v9 & member(v5, v3) = 0 & member(v4, v2) = 0 & ( ~ (v9 = 0) | ~ (v8 = 0)) & (v9 = 0 | v8 = 0)) | (v4 = 0 & inverse_predicate(v0, v1, v2, v3) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & inverse_predicate(v0, v1, v2, v3) = v6) | (apply(v1, v4, v5) = v8 & apply(v0, v5, v4) = v9 & member(v5, v3) = v7 & member(v4, v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v9 = 0) | v8 = 0) & ( ~ (v8 = 0) | v9 = 0))))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (inverse_image3(v0, v1, v2) = v4 & member(v3, v4) = v5 & member(v3, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0 & v6 = 0 & apply(v0, v3, v7) = 0 & member(v7, v1) = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (image3(v0, v1, v2) = v4 & member(v3, v4) = v5 & member(v3, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0 & v6 = 0 & apply(v0, v7, v3) = 0 & member(v7, v1) = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (inverse_function(v0, v1, v2) = v8 & apply(v8, v4, v3) = v9 & apply(v0, v3, v4) = v7 & member(v4, v2) = v6 & member(v3, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | v9 = 0)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (isomorphism(v0, v1, v2, v3, v4) = v5 & one_to_one(v0, v1, v3) = v7 & maps(v0, v1, v3) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (apply(v4, v9, v11) = v19 & apply(v2, v8, v10) = v18 & apply(v0, v10, v11) = v17 & apply(v0, v8, v9) = v16 & member(v11, v3) = v15 & member(v10, v1) = v14 & member(v9, v3) = v13 & member(v8, v1) = v12 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | (( ~ (v19 = 0) | v18 = 0) & ( ~ (v18 = 0) | v19 = 0))))))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (v6 = v5 | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (( ~ (v7 = 0) & equal_maps(v0, v1, v2, v3) = v7) | (apply(v1, v4, v6) = v11 & apply(v0, v4, v5) = v10 & member(v6, v3) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (difference(v2, v1) = v5 & member(v0, v5) = v6 & member(v0, v2) = v3 & member(v0, v1) = v4 & ( ~ (v3 = 0) | v6 = 0 | v4 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (union(v1, v2) = v5 & member(v0, v5) = v6 & member(v0, v2) = v4 & member(v0, v1) = v3 & (v6 = 0 | ( ~ (v4 = 0) & ~ (v3 = 0)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection(v1, v2) = v5 & member(v0, v5) = v6 & member(v0, v2) = v4 & member(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & apply(v0, v3, v2) = 0 & member(v3, v1) = 0) | ( ~ (v4 = 0) & image2(v0, v1) = v3 & member(v2, v3) = v4)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & apply(v0, v2, v3) = 0 & member(v3, v1) = 0) | ( ~ (v4 = 0) & inverse_image2(v0, v1) = v3 & member(v2, v3) = v4)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & inverse_image2(v0, v1) = v4 & member(v2, v4) = 0) | (apply(v0, v2, v3) = v5 & member(v3, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & image2(v0, v1) = v4 & member(v2, v4) = 0) | (apply(v0, v3, v2) = v5 & member(v3, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (one_to_one(v0, v1, v2) = v5 & surjective(v0, v1, v2) = v4 & injective(v0, v1, v2) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & member(v2, v1) = 0 & member(v0, v2) = 0) | ( ~ (v3 = 0) & sum(v1) = v2 & member(v0, v2) = v3)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & sum(v1) = v3 & member(v0, v3) = 0) | (member(v2, v1) = v3 & member(v0, v2) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & apply(v0, v2, v2) = v4 & member(v2, v1) = 0) | (v2 = 0 & identity(v0, v1) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & member(v2, v1) = 0 & member(v0, v2) = v4) | (v3 = 0 & product(v1) = v2 & member(v0, v2) = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = 0) & product(v1) = v3 & member(v0, v3) = v4) | (member(v2, v1) = v3 & member(v0, v2) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (( ~ (v3 = 0) & identity(v0, v1) = v3) | (apply(v0, v2, v2) = v4 & member(v2, v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (power_set(v1) = v3 & subset(v0, v1) = v2 & member(v0, v3) = v4 & ( ~ (v2 = 0) | v4 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (equal_set(v0, v1) = v4 & subset(v1, v0) = v3 & subset(v0, v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0)) & ? [v0] : ? [v1] : ? [v2] : (v2 = v0 | v1 = v0 | ? [v3] : ? [v4] : ( ~ (v4 = 0) & unordered_pair(v1, v2) = v3 & member(v0, v3) = v4)) & ? [v0] : ? [v1] : ? [v2] : (unordered_pair(v1, v0) = v2 & member(v0, v2) = 0) & ? [v0] : ? [v1] : ? [v2] : (unordered_pair(v0, v1) = v2 & member(v0, v2) = 0) & ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ( ~ (v3 = 0) & singleton(v1) = v2 & member(v0, v2) = v3)) & ? [v0] : ? [v1] : (singleton(v0) = v1 & member(v0, v1) = 0)
% 36.45/9.20 |
% 36.45/9.20 | Applying alpha-rule on (1) yields:
% 36.45/9.20 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0))
% 36.45/9.20 | (3) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (inverse_function(v0, v1, v2) = v8 & apply(v8, v4, v3) = v9 & apply(v0, v3, v4) = v7 & member(v4, v2) = v6 & member(v3, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | (( ~ (v9 = 0) | v7 = 0) & ( ~ (v7 = 0) | v9 = 0))))
% 36.45/9.20 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0))
% 36.45/9.20 | (5) ! [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))
% 36.45/9.20 | (6) ! [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] : ? [v11] : ? [v12] : (apply(v4, v6, v8) = v12 & apply(v2, v5, v7) = v11 & apply(v0, v7, v8) = v10 & apply(v0, v5, v6) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v12 = 0) | v11 = 0) & ( ~ (v11 = 0) | v12 = 0)))))
% 36.45/9.20 | (7) maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0
% 36.54/9.20 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : ? [v8] : ? [v9] : (apply(v1, v4, v5) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0)))))
% 36.54/9.20 | (9) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4))
% 36.54/9.20 | (10) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0))
% 36.54/9.20 | (11) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (compose_function(v0, v1, v2, v3, v4) = v9 & apply(v9, v5, v6) = v10 & member(v6, v4) = v8 & member(v5, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v10 = 0) | (v14 = 0 & v13 = 0 & v12 = 0 & apply(v1, v5, v11) = 0 & apply(v0, v11, v6) = 0 & member(v11, v3) = 0)) & (v10 = 0 | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (apply(v1, v5, v15) = v17 & apply(v0, v15, v6) = v18 & member(v15, v3) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))))))
% 36.54/9.20 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v5 & member(v0, v1) = v6 & ( ~ (v5 = 0) | v6 = 0)))
% 36.54/9.20 | (13) ! [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(v4, v7, v9) = v17 & apply(v2, v6, v8) = v16 & 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) | ~ (v16 = 0)) & (v17 = 0 | v16 = 0)) | (one_to_one(v0, v1, v3) = v7 & maps(v0, v1, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))))
% 36.54/9.20 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v6 & member(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))
% 36.54/9.20 | (15) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v0, v7, v8) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.54/9.20 | (16) ! [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] : ? [v11] : ((apply(v0, v9, v6) = v11 & member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))))
% 36.54/9.20 | (17) ! [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))
% 36.54/9.20 | (18) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0))
% 36.54/9.20 | (19) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & apply(v0, v3, v2) = 0 & member(v3, v1) = 0) | ( ~ (v4 = 0) & image2(v0, v1) = v3 & member(v2, v3) = v4))
% 36.54/9.21 | (20) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (( ~ (v4 = 0) & product(v1) = v3 & member(v0, v3) = v4) | (member(v2, v1) = v3 & member(v0, v2) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 36.54/9.21 | (21) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (power_set(v1) = v3 & subset(v0, v1) = v2 & member(v0, v3) = v4 & ( ~ (v2 = 0) | v4 = 0))
% 36.54/9.21 | (22) ! [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] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v2, v5, v7) = v12 & apply(v0, v5, v6) = v11 & member(v8, v3) = v10 & member(v7, v1) = v9 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v13 = 0) | v12 = 0) & ( ~ (v12 = 0) | v13 = 0)))))
% 36.54/9.21 | (23) compose_function(all_0_7_7, all_0_8_8, all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2
% 36.54/9.21 | (24) ! [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))
% 36.54/9.21 | (25) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v16 = 0) & apply(v4, v8, v6) = v16 & apply(v2, v5, v7) = 0 & apply(v0, v7, v8) = 0 & apply(v0, v5, v6) = 0 & member(v8, v3) = 0 & member(v7, v1) = 0 & member(v6, v3) = 0 & member(v5, v1) = 0) | (v5 = 0 & decreasing(v0, v1, v2, v3, v4) = 0))
% 36.54/9.21 | (26) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v0, v5, v6) = v12 & member(v8, v3) = v11 & member(v7, v1) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.54/9.21 | (27) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v0, v7, v8) = v12 & apply(v0, v5, v6) = v11 & member(v7, v1) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.54/9.21 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0))
% 36.54/9.21 | (29) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (equal_set(v0, v1) = v4 & subset(v1, v0) = v3 & subset(v0, v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))
% 36.54/9.21 | (30) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v12 & apply(v0, v7, v8) = v14 & apply(v0, v5, v6) = v13 & member(v8, v3) = v11 & member(v6, v3) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.54/9.21 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (inverse_predicate(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (apply(v1, v5, v6) = v7 & apply(v0, v6, v5) = v8 & member(v6, v3) = 0 & member(v5, v2) = 0 & ( ~ (v8 = 0) | ~ (v7 = 0)) & (v8 = 0 | v7 = 0)))
% 36.54/9.21 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0)
% 36.54/9.21 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0))
% 36.54/9.21 | (34) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ? [v3] : (equal_set(v0, v1) = v3 & subset(v1, v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 36.54/9.21 | (35) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (( ~ (v8 = 0) & compose_predicate(v0, v1, v2, v3, v4, v5) = v8) | (apply(v0, v6, v7) = v10 & member(v7, v5) = v9 & member(v6, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0) | (( ~ (v10 = 0) | (v14 = 0 & v13 = 0 & v12 = 0 & apply(v2, v6, v11) = 0 & apply(v1, v11, v7) = 0 & member(v11, v4) = 0)) & (v10 = 0 | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (apply(v2, v6, v15) = v17 & apply(v1, v15, v7) = v18 & member(v15, v4) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0))))))))
% 36.54/9.21 | (36) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (intersection(v1, v2) = v5 & member(v0, v5) = v6 & member(v0, v2) = v4 & member(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v6 = 0))
% 36.54/9.21 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0))
% 36.54/9.21 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 36.54/9.21 | (39) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v0, v5, v6) = v12 & member(v8, v3) = v11 & member(v7, v1) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.54/9.21 | (40) ! [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] : ? [v11] : ((apply(v2, v6, v9) = v10 & apply(v1, v9, v7) = v11 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v7, v5) = v11 & member(v6, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))))
% 36.54/9.21 | (41) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ( ~ (v3 = 0) & singleton(v1) = v2 & member(v0, v2) = v3))
% 36.54/9.21 | (42) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v12 & apply(v0, v7, v8) = v14 & apply(v0, v5, v6) = v13 & member(v8, v3) = v11 & member(v6, v3) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.54/9.21 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0))
% 36.54/9.22 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4))
% 36.54/9.22 | (45) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (( ~ (v9 = 0) & increasing(v0, v1, v2, v3, v4) = v9) | (apply(v4, v6, v8) = v16 & apply(v2, v5, v7) = v13 & apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v16 = 0)))
% 36.54/9.22 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0))
% 36.54/9.22 | (47) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.54/9.22 | (48) ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ? [v3] : (equal_set(v0, v1) = v3 & subset(v0, v1) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 36.54/9.22 | (49) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & v4 = 0 & apply(v0, v2, v3) = 0 & member(v3, v1) = 0) | ( ~ (v4 = 0) & inverse_image2(v0, v1) = v3 & member(v2, v3) = v4))
% 36.54/9.22 | (50) ? [v0] : ? [v1] : ? [v2] : (v2 = v0 | v1 = v0 | ? [v3] : ? [v4] : ( ~ (v4 = 0) & unordered_pair(v1, v2) = v3 & member(v0, v3) = v4))
% 36.54/9.22 | (51) ! [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)))))
% 36.54/9.22 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3))
% 36.54/9.22 | (53) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v2, v5, v7) = v11 & apply(v0, v5, v6) = v12 & member(v8, v3) = v10 & member(v7, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.54/9.22 | (54) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & apply(v0, v2, v2) = v4 & member(v2, v1) = 0) | (v2 = 0 & identity(v0, v1) = 0))
% 36.54/9.22 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0))
% 36.54/9.22 | (56) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & inverse_image2(v0, v1) = v4 & member(v2, v4) = 0) | (apply(v0, v2, v3) = v5 & member(v3, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 36.54/9.22 | (57) ! [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) | (member(v7, v5) = v9 & member(v6, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0)))))
% 36.54/9.22 | (58) ~ (all_0_0_0 = 0)
% 36.54/9.22 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0))
% 36.54/9.22 | (60) ! [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))
% 36.54/9.22 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0)
% 36.54/9.22 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0))
% 36.54/9.22 | (63) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v2, v5, v7) = v11 & apply(v0, v5, v6) = v12 & member(v8, v3) = v10 & member(v7, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.54/9.22 | (64) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (( ~ (v9 = 0) & decreasing(v0, v1, v2, v3, v4) = v9) | (apply(v4, v8, v6) = v16 & apply(v2, v5, v7) = v13 & apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v16 = 0)))
% 36.54/9.22 | (65) ! [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] : ? [v8] : (apply(v1, v4, v6) = v8 & apply(v0, v4, v5) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0))))
% 36.54/9.22 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0)
% 36.54/9.22 | (67) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0))
% 36.54/9.22 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ (member(v5, v2) = 0) | ? [v6] : ? [v7] : ? [v8] : (apply(v0, v3, v5) = v8 & member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 36.54/9.22 | (69) ! [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] : (apply(v0, v7, v8) = v9 & member(v8, v5) = 0 & member(v7, v3) = 0 & ( ~ (v9 = 0) | ( ! [v14] : ( ~ (apply(v2, v7, v14) = 0) | ? [v15] : ? [v16] : (apply(v1, v14, v8) = v16 & member(v14, v4) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : ? [v16] : (apply(v2, v7, v14) = v16 & member(v14, v4) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v14] : ( ~ (member(v14, v4) = 0) | ? [v15] : ? [v16] : (apply(v2, v7, v14) = v15 & apply(v1, v14, v8) = v16 & ( ~ (v16 = 0) | ~ (v15 = 0)))))) & (v9 = 0 | (v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0))))
% 36.54/9.22 | (70) ! [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))
% 36.54/9.22 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0))
% 36.54/9.22 | (72) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v8, v6) = v13 & apply(v2, v5, v7) = v11 & apply(v0, v7, v8) = v12 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.54/9.22 | (73) ? [v0] : ? [v1] : ? [v2] : (unordered_pair(v0, v1) = v2 & member(v0, v2) = 0)
% 36.54/9.22 | (74) ? [v0] : ? [v1] : (singleton(v0) = v1 & member(v0, v1) = 0)
% 36.54/9.22 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0))
% 36.54/9.22 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (apply(v0, v5, v4) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0)))))
% 36.54/9.22 | (77) ! [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] : ? [v11] : ((apply(v1, v5, v9) = v10 & apply(v0, v9, v6) = v11 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))))
% 36.54/9.22 | (78) ! [v0] : ! [v1] : ! [v2] : ( ~ (injective(v0, v1, v2) = 0) | ? [v3] : ? [v4] : (one_to_one(v0, v1, v2) = v4 & surjective(v0, v1, v2) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 36.54/9.22 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (surjective(v0, v1, v2) = 0) | ? [v3] : ? [v4] : (one_to_one(v0, v1, v2) = v4 & injective(v0, v1, v2) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 36.54/9.22 | (80) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.54/9.22 | (81) ! [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)))
% 36.54/9.23 | (82) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & v9 = 0 & ~ (v16 = 0) & apply(v4, v6, v8) = v16 & apply(v2, v5, v7) = 0 & apply(v0, v7, v8) = 0 & apply(v0, v5, v6) = 0 & member(v8, v3) = 0 & member(v7, v1) = 0 & member(v6, v3) = 0 & member(v5, v1) = 0) | (v5 = 0 & increasing(v0, v1, v2, v3, v4) = 0))
% 36.54/9.23 | (83) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v14 & apply(v0, v7, v8) = v13 & apply(v0, v5, v6) = v12 & member(v8, v3) = v11 & member(v6, v3) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0)))))
% 36.54/9.23 | (84) ! [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] : ? [v7] : (apply(v0, v3, v5) = v7 & apply(v0, v3, v4) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 36.66/9.23 | (85) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & image2(v0, v1) = v4 & member(v2, v4) = 0) | (apply(v0, v3, v2) = v5 & member(v3, v1) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 36.66/9.23 | (86) equal_maps(all_0_7_7, all_0_6_6, all_0_4_4, all_0_3_3) = all_0_0_0
% 36.66/9.23 | (87) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : ? [v4] : (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 36.66/9.23 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : ? [v7] : ? [v8] : (apply(v0, v3, v5) = v8 & member(v5, v2) = v7 & member(v4, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 36.66/9.23 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0))
% 36.66/9.23 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ? [v6] : ? [v7] : ? [v8] : (apply(v0, v3, v4) = v8 & member(v5, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 36.66/9.23 | (91) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (union(v1, v2) = v5 & member(v0, v5) = v6 & member(v0, v2) = v4 & member(v0, v1) = v3 & (v6 = 0 | ( ~ (v4 = 0) & ~ (v3 = 0))))
% 36.66/9.23 | (92) ! [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))
% 36.66/9.23 | (93) ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0))
% 36.66/9.23 | (94) ! [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] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v2, v5, v7) = v12 & apply(v0, v7, v8) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v13 = 0) | v12 = 0) & ( ~ (v12 = 0) | v13 = 0)))))
% 36.66/9.23 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0))
% 36.66/9.23 | (96) ! [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))
% 36.66/9.23 | (97) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v14 & apply(v0, v5, v6) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0)))))
% 36.66/9.23 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0))
% 36.66/9.23 | (99) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (( ~ (v3 = 0) & identity(v0, v1) = v3) | (apply(v0, v2, v2) = v4 & member(v2, v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 36.66/9.23 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0))
% 36.66/9.23 | (101) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v13 & apply(v0, v5, v6) = v14 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.66/9.23 | (102) ? [v0] : ? [v1] : ? [v2] : (unordered_pair(v1, v0) = v2 & member(v0, v2) = 0)
% 36.66/9.23 | (103) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & inverse_predicate(v0, v1, v2, v3) = v6) | (apply(v1, v4, v5) = v8 & apply(v0, v5, v4) = v9 & member(v5, v3) = v7 & member(v4, v2) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | (( ~ (v9 = 0) | v8 = 0) & ( ~ (v8 = 0) | v9 = 0)))))
% 36.66/9.23 | (104) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ((v9 = 0 & v8 = 0 & apply(v0, v6, v7) = v10 & member(v7, v5) = 0 & member(v6, v3) = 0 & ( ~ (v10 = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (apply(v2, v6, v15) = v17 & apply(v1, v15, v7) = v18 & member(v15, v4) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & (v10 = 0 | (v14 = 0 & v13 = 0 & v12 = 0 & apply(v2, v6, v11) = 0 & apply(v1, v11, v7) = 0 & member(v11, v4) = 0))) | (v6 = 0 & compose_predicate(v0, v1, v2, v3, v4, v5) = 0))
% 36.66/9.23 | (105) equal_maps(all_0_2_2, all_0_1_1, all_0_5_5, all_0_3_3) = 0
% 36.66/9.23 | (106) ! [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))
% 36.66/9.23 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0))
% 36.66/9.23 | (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] : ? [v7] : (apply(v0, v4, v5) = v7 & apply(v0, v3, v5) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))
% 36.66/9.23 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0))
% 36.66/9.23 | (110) ! [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))
% 36.66/9.23 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0))
% 36.66/9.23 | (112) ! [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)))
% 36.66/9.23 | (113) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ? [v4] : (equal_set(v0, v1) = v3 & subset(v0, v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0))))
% 36.66/9.23 | (114) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 36.66/9.23 | (115) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v0, v7, v8) = v13 & apply(v0, v5, v6) = v12 & member(v7, v1) = v11 & member(v5, v1) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0)))))
% 36.66/9.23 | (116) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (isomorphism(v0, v1, v2, v3, v4) = v5 & one_to_one(v0, v1, v3) = v7 & maps(v0, v1, v3) = v6 & ( ~ (v5 = 0) | (v7 = 0 & v6 = 0 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (apply(v4, v9, v11) = v19 & apply(v2, v8, v10) = v18 & apply(v0, v10, v11) = v17 & apply(v0, v8, v9) = v16 & member(v11, v3) = v15 & member(v10, v1) = v14 & member(v9, v3) = v13 & member(v8, v1) = v12 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | (( ~ (v19 = 0) | v18 = 0) & ( ~ (v18 = 0) | v19 = 0)))))))
% 36.66/9.23 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0))
% 36.66/9.23 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0))
% 36.66/9.23 | (119) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v0, v7, v8) = v12 & apply(v0, v5, v6) = v11 & member(v7, v1) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.66/9.23 | (120) ! [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] : ? [v11] : ((apply(v1, v5, v9) = v11 & member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))))
% 36.66/9.24 | (121) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0))
% 36.66/9.24 | (122) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (v6 = v5 | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (( ~ (v7 = 0) & equal_maps(v0, v1, v2, v3) = v7) | (apply(v1, v4, v6) = v11 & apply(v0, v4, v5) = v10 & member(v6, v3) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))))
% 36.66/9.24 | (123) ! [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)))
% 36.66/9.24 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0))
% 36.66/9.24 | (125) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2))
% 36.66/9.24 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0))
% 36.66/9.24 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0))
% 36.66/9.24 | (128) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v13 & apply(v0, v7, v8) = v14 & member(v8, v3) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.66/9.24 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0))
% 36.66/9.24 | (130) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = 0)))
% 36.66/9.24 | (131) ! [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] : ? [v11] : ((apply(v1, v9, v7) = v11 & member(v9, v4) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v7, v5) = v11 & member(v6, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))))
% 36.66/9.24 | (132) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ((v7 = 0 & v6 = 0 & apply(v1, v4, v5) = v8 & apply(v0, v5, v4) = v9 & member(v5, v3) = 0 & member(v4, v2) = 0 & ( ~ (v9 = 0) | ~ (v8 = 0)) & (v9 = 0 | v8 = 0)) | (v4 = 0 & inverse_predicate(v0, v1, v2, v3) = 0))
% 36.66/9.24 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (apply(v0, v3, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : (member(v5, v2) = v8 & member(v4, v1) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 36.66/9.24 | (134) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v13 & apply(v0, v5, v6) = v14 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.66/9.24 | (135) ! [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] : ? [v8] : ? [v9] : (member(v6, v3) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 36.66/9.24 | (136) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v0, v7, v8) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.66/9.24 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 36.66/9.24 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0))
% 36.66/9.24 | (139) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (inverse_image3(v0, v1, v2) = v4 & member(v3, v4) = v5 & member(v3, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0 & v6 = 0 & apply(v0, v3, v7) = 0 & member(v7, v1) = 0)))
% 36.66/9.24 | (140) maps(all_0_6_6, all_0_4_4, all_0_3_3) = 0
% 36.66/9.24 | (141) ! [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))
% 36.66/9.24 | (142) ? [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(v1, v4, v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v3) = 0 & member(v5, v3) = 0 & member(v4, v2) = 0) | (v4 = 0 & equal_maps(v0, v1, v2, v3) = 0))
% 36.66/9.24 | (143) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & sum(v1) = v3 & member(v0, v3) = 0) | (member(v2, v1) = v3 & member(v0, v2) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 36.66/9.24 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : ? [v7] : ? [v8] : (member(v5, v2) = v8 & member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 36.66/9.24 | (145) ! [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))
% 36.66/9.24 | (146) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v14 = 0) | v13 = 0) & ( ~ (v13 = 0) | v14 = 0)))))
% 36.66/9.24 | (147) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0))
% 36.66/9.24 | (148) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : (equal_set(v0, v1) = v3 & subset(v1, v0) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0))))
% 36.66/9.24 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0)
% 36.66/9.24 | (150) maps(all_0_8_8, all_0_5_5, all_0_4_4) = 0
% 36.66/9.24 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ? [v5] : (member(v0, v2) = v5 & member(v0, v1) = v4 & (v5 = 0 | v4 = 0)))
% 36.66/9.24 | (152) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & member(v2, v1) = 0 & member(v0, v2) = 0) | ( ~ (v3 = 0) & sum(v1) = v2 & member(v0, v2) = v3))
% 36.66/9.24 | (153) ! [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))
% 36.66/9.24 | (154) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v8, v6) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = 0)))
% 36.66/9.24 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (injective(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (one_to_one(v0, v1, v2) = v4 & surjective(v0, v1, v2) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0))))
% 36.66/9.24 | (156) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (one_to_one(v0, v1, v2) = v4 & injective(v0, v1, v2) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0))))
% 36.66/9.24 | (157) ! [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] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v4, v6, v8) = v13 & apply(v2, v5, v7) = v11 & apply(v0, v7, v8) = v12 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v13 = 0)))
% 36.66/9.24 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 36.66/9.24 | (159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 36.66/9.24 | (160) ! [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] : ? [v10] : ? [v11] : ? [v12] : (apply(v4, v6, v8) = v12 & apply(v2, v5, v7) = v9 & apply(v0, v7, v8) = v11 & apply(v0, v5, v6) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v12 = 0)))
% 36.66/9.24 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, v4, v3) = v6) | ? [v7] : ? [v8] : ? [v9] : (apply(v0, v3, v4) = v9 & member(v4, v2) = v8 & member(v3, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0)))))
% 36.66/9.24 | (162) ! [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] : ? [v8] : ? [v9] : (apply(v1, v4, v6) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 36.66/9.24 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0))
% 36.66/9.24 | (164) ! [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] : ? [v8] : ? [v9] : (apply(v0, v4, v5) = v9 & member(v6, v3) = v8 & member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 36.66/9.25 | (165) surjective(all_0_8_8, all_0_5_5, all_0_4_4) = 0
% 36.66/9.25 | (166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3))
% 36.66/9.25 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v1) = 0) | ? [v6] : ? [v7] : ? [v8] : (apply(v0, v4, v5) = v8 & member(v5, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 36.66/9.25 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0))
% 36.66/9.25 | (169) ! [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] : ? [v11] : ((apply(v2, v6, v9) = v11 & member(v9, v4) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v7, v5) = v11 & member(v6, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))))
% 36.66/9.25 | (170) ! [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))
% 36.66/9.25 | (171) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.66/9.25 | (172) ! [v0] : ~ (member(v0, empty_set) = 0)
% 36.66/9.25 | (173) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (image3(v0, v1, v2) = v4 & member(v3, v4) = v5 & member(v3, v2) = v6 & ( ~ (v5 = 0) | (v9 = 0 & v8 = 0 & v6 = 0 & apply(v0, v7, v3) = 0 & member(v7, v1) = 0)))
% 36.66/9.25 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 36.66/9.25 | (175) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0))
% 36.66/9.25 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 36.66/9.25 | (177) ! [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))
% 36.66/9.25 | (178) ! [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) | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0)))))
% 36.66/9.25 | (179) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (apply(v0, v7, v8) = v15 & apply(v0, v5, v6) = v14 & member(v8, v3) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.66/9.25 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0))
% 36.66/9.25 | (181) ! [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)))
% 36.66/9.25 | (182) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0))
% 36.66/9.25 | (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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v14 & apply(v0, v7, v8) = v13 & member(v8, v3) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0)))))
% 36.66/9.25 | (184) ! [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))))
% 36.66/9.25 | (185) compose_function(all_0_6_6, all_0_8_8, all_0_5_5, all_0_4_4, all_0_3_3) = all_0_1_1
% 36.66/9.25 | (186) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v0, v5, v6) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v5, v1) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0)))))
% 36.66/9.25 | (187) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4))
% 36.66/9.25 | (188) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v0, v7, v8) = v13 & member(v7, v1) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | (( ~ (v14 = 0) | v9 = 0) & ( ~ (v9 = 0) | v14 = 0)))))
% 36.66/9.25 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0))
% 36.66/9.25 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4))
% 36.66/9.25 | (191) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (one_to_one(v0, v1, v2) = v5 & surjective(v0, v1, v2) = v4 & injective(v0, v1, v2) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))
% 36.66/9.25 | (192) ! [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] : ? [v10] : ? [v11] : ? [v12] : (apply(v4, v8, v6) = v12 & apply(v2, v5, v7) = v9 & apply(v0, v7, v8) = v11 & apply(v0, v5, v6) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v12 = 0)))
% 36.66/9.25 | (193) ! [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))
% 36.66/9.25 | (194) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & member(v2, v1) = 0 & member(v0, v2) = v4) | (v3 = 0 & product(v1) = v2 & member(v0, v2) = 0))
% 36.66/9.25 | (195) ! [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] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v2, v5, v7) = v13 & apply(v0, v7, v8) = v14 & member(v8, v3) = v12 & member(v6, v3) = v11 & member(v5, v1) = v10 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0))))
% 36.66/9.25 | (196) ! [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))
% 36.66/9.25 | (197) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (one_to_one(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (surjective(v0, v1, v2) = v5 & injective(v0, v1, v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0))))
% 36.66/9.25 | (198) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (difference(v2, v1) = v5 & member(v0, v5) = v6 & member(v0, v2) = v3 & member(v0, v1) = v4 & ( ~ (v3 = 0) | v6 = 0 | v4 = 0))
% 36.66/9.25 |
% 36.66/9.25 | Instantiating formula (24) with all_0_0_0, all_0_3_3, all_0_4_4, all_0_6_6, all_0_7_7 and discharging atoms equal_maps(all_0_7_7, all_0_6_6, all_0_4_4, all_0_3_3) = all_0_0_0, yields:
% 36.66/9.25 | (199) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & apply(all_0_6_6, v0, v2) = 0 & apply(all_0_7_7, v0, v1) = 0 & member(v2, all_0_3_3) = 0 & member(v1, all_0_3_3) = 0 & member(v0, all_0_4_4) = 0)
% 36.66/9.25 |
% 36.66/9.25 +-Applying beta-rule and splitting (199), into two cases.
% 36.66/9.25 |-Branch one:
% 36.66/9.25 | (200) all_0_0_0 = 0
% 36.66/9.25 |
% 36.66/9.25 | Equations (200) can reduce 58 to:
% 36.66/9.25 | (201) $false
% 36.66/9.25 |
% 36.66/9.26 |-The branch is then unsatisfiable
% 36.66/9.26 |-Branch two:
% 36.66/9.26 | (58) ~ (all_0_0_0 = 0)
% 36.66/9.26 | (203) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & apply(all_0_6_6, v0, v2) = 0 & apply(all_0_7_7, v0, v1) = 0 & member(v2, all_0_3_3) = 0 & member(v1, all_0_3_3) = 0 & member(v0, all_0_4_4) = 0)
% 36.66/9.26 |
% 36.66/9.26 | Instantiating (203) with all_84_0_326, all_84_1_327, all_84_2_328 yields:
% 36.66/9.26 | (204) ~ (all_84_0_326 = all_84_1_327) & apply(all_0_6_6, all_84_2_328, all_84_0_326) = 0 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = 0 & member(all_84_0_326, all_0_3_3) = 0 & member(all_84_1_327, all_0_3_3) = 0 & member(all_84_2_328, all_0_4_4) = 0
% 36.66/9.26 |
% 36.66/9.26 | Applying alpha-rule on (204) yields:
% 36.66/9.26 | (205) ~ (all_84_0_326 = all_84_1_327)
% 36.66/9.26 | (206) member(all_84_0_326, all_0_3_3) = 0
% 36.66/9.26 | (207) member(all_84_2_328, all_0_4_4) = 0
% 36.66/9.26 | (208) apply(all_0_6_6, all_84_2_328, all_84_0_326) = 0
% 36.66/9.26 | (209) member(all_84_1_327, all_0_3_3) = 0
% 36.66/9.26 | (210) apply(all_0_7_7, all_84_2_328, all_84_1_327) = 0
% 36.66/9.26 |
% 36.66/9.26 | Instantiating formula (90) with all_84_1_327, all_84_0_326, all_84_2_328, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, apply(all_0_7_7, all_84_2_328, all_84_1_327) = 0, member(all_84_0_326, all_0_3_3) = 0, yields:
% 36.66/9.26 | (211) all_84_0_326 = all_84_1_327 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_7_7, all_84_2_328, all_84_0_326) = v2 & member(all_84_1_327, all_0_3_3) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating formula (90) with all_84_0_326, all_84_1_327, all_84_2_328, all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_4_4, all_0_3_3) = 0, apply(all_0_6_6, all_84_2_328, all_84_0_326) = 0, member(all_84_1_327, all_0_3_3) = 0, yields:
% 36.66/9.26 | (212) all_84_0_326 = all_84_1_327 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_84_2_328, all_84_1_327) = v2 & member(all_84_0_326, all_0_3_3) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating formula (84) with all_84_0_326, all_84_1_327, all_84_2_328, all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_4_4, all_0_3_3) = 0, member(all_84_0_326, all_0_3_3) = 0, member(all_84_1_327, all_0_3_3) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.26 | (213) all_84_0_326 = all_84_1_327 | ? [v0] : ? [v1] : (apply(all_0_6_6, all_84_2_328, all_84_0_326) = v1 & apply(all_0_6_6, all_84_2_328, all_84_1_327) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating formula (84) with all_84_1_327, all_84_0_326, all_84_2_328, all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_4_4, all_0_3_3) = 0, member(all_84_0_326, all_0_3_3) = 0, member(all_84_1_327, all_0_3_3) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.26 | (214) all_84_0_326 = all_84_1_327 | ? [v0] : ? [v1] : (apply(all_0_6_6, all_84_2_328, all_84_0_326) = v0 & apply(all_0_6_6, all_84_2_328, all_84_1_327) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating formula (71) with all_84_2_328, all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_4_4, all_0_3_3) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.26 | (215) ? [v0] : (apply(all_0_6_6, all_84_2_328, v0) = 0 & member(v0, all_0_3_3) = 0)
% 36.66/9.26 |
% 36.66/9.26 | Instantiating formula (84) with all_84_0_326, all_84_1_327, all_84_2_328, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, member(all_84_0_326, all_0_3_3) = 0, member(all_84_1_327, all_0_3_3) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.26 | (216) all_84_0_326 = all_84_1_327 | ? [v0] : ? [v1] : (apply(all_0_7_7, all_84_2_328, all_84_0_326) = v1 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating formula (84) with all_84_1_327, all_84_0_326, all_84_2_328, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, member(all_84_0_326, all_0_3_3) = 0, member(all_84_1_327, all_0_3_3) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.26 | (217) all_84_0_326 = all_84_1_327 | ? [v0] : ? [v1] : (apply(all_0_7_7, all_84_2_328, all_84_0_326) = v0 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating formula (71) with all_84_2_328, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.26 | (218) ? [v0] : (apply(all_0_7_7, all_84_2_328, v0) = 0 & member(v0, all_0_3_3) = 0)
% 36.66/9.26 |
% 36.66/9.26 | Instantiating formula (100) with all_84_2_328, all_0_4_4, all_0_5_5, all_0_8_8 and discharging atoms surjective(all_0_8_8, all_0_5_5, all_0_4_4) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.26 | (219) ? [v0] : (apply(all_0_8_8, v0, all_84_2_328) = 0 & member(v0, all_0_5_5) = 0)
% 36.66/9.26 |
% 36.66/9.26 | Instantiating (219) with all_95_0_329 yields:
% 36.66/9.26 | (220) apply(all_0_8_8, all_95_0_329, all_84_2_328) = 0 & member(all_95_0_329, all_0_5_5) = 0
% 36.66/9.26 |
% 36.66/9.26 | Applying alpha-rule on (220) yields:
% 36.66/9.26 | (221) apply(all_0_8_8, all_95_0_329, all_84_2_328) = 0
% 36.66/9.26 | (222) member(all_95_0_329, all_0_5_5) = 0
% 36.66/9.26 |
% 36.66/9.26 | Instantiating (215) with all_97_0_330 yields:
% 36.66/9.26 | (223) apply(all_0_6_6, all_84_2_328, all_97_0_330) = 0 & member(all_97_0_330, all_0_3_3) = 0
% 36.66/9.26 |
% 36.66/9.26 | Applying alpha-rule on (223) yields:
% 36.66/9.26 | (224) apply(all_0_6_6, all_84_2_328, all_97_0_330) = 0
% 36.66/9.26 | (225) member(all_97_0_330, all_0_3_3) = 0
% 36.66/9.26 |
% 36.66/9.26 | Instantiating (218) with all_101_0_333 yields:
% 36.66/9.26 | (226) apply(all_0_7_7, all_84_2_328, all_101_0_333) = 0 & member(all_101_0_333, all_0_3_3) = 0
% 36.66/9.26 |
% 36.66/9.26 | Applying alpha-rule on (226) yields:
% 36.66/9.26 | (227) apply(all_0_7_7, all_84_2_328, all_101_0_333) = 0
% 36.66/9.26 | (228) member(all_101_0_333, all_0_3_3) = 0
% 36.66/9.26 |
% 36.66/9.26 +-Applying beta-rule and splitting (211), into two cases.
% 36.66/9.26 |-Branch one:
% 36.66/9.26 | (229) all_84_0_326 = all_84_1_327
% 36.66/9.26 |
% 36.66/9.26 | Equations (229) can reduce 205 to:
% 36.66/9.26 | (201) $false
% 36.66/9.26 |
% 36.66/9.26 |-The branch is then unsatisfiable
% 36.66/9.26 |-Branch two:
% 36.66/9.26 | (205) ~ (all_84_0_326 = all_84_1_327)
% 36.66/9.26 | (232) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_7_7, all_84_2_328, all_84_0_326) = v2 & member(all_84_1_327, all_0_3_3) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating (232) with all_111_0_338, all_111_1_339, all_111_2_340 yields:
% 36.66/9.26 | (233) apply(all_0_7_7, all_84_2_328, all_84_0_326) = all_111_0_338 & member(all_84_1_327, all_0_3_3) = all_111_1_339 & member(all_84_2_328, all_0_4_4) = all_111_2_340 & ( ~ (all_111_0_338 = 0) | ~ (all_111_1_339 = 0) | ~ (all_111_2_340 = 0))
% 36.66/9.26 |
% 36.66/9.26 | Applying alpha-rule on (233) yields:
% 36.66/9.26 | (234) apply(all_0_7_7, all_84_2_328, all_84_0_326) = all_111_0_338
% 36.66/9.26 | (235) member(all_84_1_327, all_0_3_3) = all_111_1_339
% 36.66/9.26 | (236) member(all_84_2_328, all_0_4_4) = all_111_2_340
% 36.66/9.26 | (237) ~ (all_111_0_338 = 0) | ~ (all_111_1_339 = 0) | ~ (all_111_2_340 = 0)
% 36.66/9.26 |
% 36.66/9.26 +-Applying beta-rule and splitting (212), into two cases.
% 36.66/9.26 |-Branch one:
% 36.66/9.26 | (229) all_84_0_326 = all_84_1_327
% 36.66/9.26 |
% 36.66/9.26 | Equations (229) can reduce 205 to:
% 36.66/9.26 | (201) $false
% 36.66/9.26 |
% 36.66/9.26 |-The branch is then unsatisfiable
% 36.66/9.26 |-Branch two:
% 36.66/9.26 | (205) ~ (all_84_0_326 = all_84_1_327)
% 36.66/9.26 | (241) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_84_2_328, all_84_1_327) = v2 & member(all_84_0_326, all_0_3_3) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating (241) with all_116_0_341, all_116_1_342, all_116_2_343 yields:
% 36.66/9.26 | (242) apply(all_0_6_6, all_84_2_328, all_84_1_327) = all_116_0_341 & member(all_84_0_326, all_0_3_3) = all_116_1_342 & member(all_84_2_328, all_0_4_4) = all_116_2_343 & ( ~ (all_116_0_341 = 0) | ~ (all_116_1_342 = 0) | ~ (all_116_2_343 = 0))
% 36.66/9.26 |
% 36.66/9.26 | Applying alpha-rule on (242) yields:
% 36.66/9.26 | (243) apply(all_0_6_6, all_84_2_328, all_84_1_327) = all_116_0_341
% 36.66/9.26 | (244) member(all_84_0_326, all_0_3_3) = all_116_1_342
% 36.66/9.26 | (245) member(all_84_2_328, all_0_4_4) = all_116_2_343
% 36.66/9.26 | (246) ~ (all_116_0_341 = 0) | ~ (all_116_1_342 = 0) | ~ (all_116_2_343 = 0)
% 36.66/9.26 |
% 36.66/9.26 +-Applying beta-rule and splitting (213), into two cases.
% 36.66/9.26 |-Branch one:
% 36.66/9.26 | (229) all_84_0_326 = all_84_1_327
% 36.66/9.26 |
% 36.66/9.26 | Equations (229) can reduce 205 to:
% 36.66/9.26 | (201) $false
% 36.66/9.26 |
% 36.66/9.26 |-The branch is then unsatisfiable
% 36.66/9.26 |-Branch two:
% 36.66/9.26 | (205) ~ (all_84_0_326 = all_84_1_327)
% 36.66/9.26 | (250) ? [v0] : ? [v1] : (apply(all_0_6_6, all_84_2_328, all_84_0_326) = v1 & apply(all_0_6_6, all_84_2_328, all_84_1_327) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating (250) with all_121_0_344, all_121_1_345 yields:
% 36.66/9.26 | (251) apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_121_0_344 & apply(all_0_6_6, all_84_2_328, all_84_1_327) = all_121_1_345 & ( ~ (all_121_0_344 = 0) | ~ (all_121_1_345 = 0))
% 36.66/9.26 |
% 36.66/9.26 | Applying alpha-rule on (251) yields:
% 36.66/9.26 | (252) apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_121_0_344
% 36.66/9.26 | (253) apply(all_0_6_6, all_84_2_328, all_84_1_327) = all_121_1_345
% 36.66/9.26 | (254) ~ (all_121_0_344 = 0) | ~ (all_121_1_345 = 0)
% 36.66/9.26 |
% 36.66/9.26 +-Applying beta-rule and splitting (217), into two cases.
% 36.66/9.26 |-Branch one:
% 36.66/9.26 | (229) all_84_0_326 = all_84_1_327
% 36.66/9.26 |
% 36.66/9.26 | Equations (229) can reduce 205 to:
% 36.66/9.26 | (201) $false
% 36.66/9.26 |
% 36.66/9.26 |-The branch is then unsatisfiable
% 36.66/9.26 |-Branch two:
% 36.66/9.26 | (205) ~ (all_84_0_326 = all_84_1_327)
% 36.66/9.26 | (258) ? [v0] : ? [v1] : (apply(all_0_7_7, all_84_2_328, all_84_0_326) = v0 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating (258) with all_126_0_346, all_126_1_347 yields:
% 36.66/9.26 | (259) apply(all_0_7_7, all_84_2_328, all_84_0_326) = all_126_1_347 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_126_0_346 & ( ~ (all_126_0_346 = 0) | ~ (all_126_1_347 = 0))
% 36.66/9.26 |
% 36.66/9.26 | Applying alpha-rule on (259) yields:
% 36.66/9.26 | (260) apply(all_0_7_7, all_84_2_328, all_84_0_326) = all_126_1_347
% 36.66/9.26 | (261) apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_126_0_346
% 36.66/9.26 | (262) ~ (all_126_0_346 = 0) | ~ (all_126_1_347 = 0)
% 36.66/9.26 |
% 36.66/9.26 +-Applying beta-rule and splitting (216), into two cases.
% 36.66/9.26 |-Branch one:
% 36.66/9.26 | (229) all_84_0_326 = all_84_1_327
% 36.66/9.26 |
% 36.66/9.26 | Equations (229) can reduce 205 to:
% 36.66/9.26 | (201) $false
% 36.66/9.26 |
% 36.66/9.26 |-The branch is then unsatisfiable
% 36.66/9.26 |-Branch two:
% 36.66/9.26 | (205) ~ (all_84_0_326 = all_84_1_327)
% 36.66/9.26 | (266) ? [v0] : ? [v1] : (apply(all_0_7_7, all_84_2_328, all_84_0_326) = v1 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.26 |
% 36.66/9.26 | Instantiating (266) with all_131_0_348, all_131_1_349 yields:
% 36.66/9.26 | (267) apply(all_0_7_7, all_84_2_328, all_84_0_326) = all_131_0_348 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_131_1_349 & ( ~ (all_131_0_348 = 0) | ~ (all_131_1_349 = 0))
% 36.66/9.26 |
% 36.66/9.26 | Applying alpha-rule on (267) yields:
% 36.66/9.26 | (268) apply(all_0_7_7, all_84_2_328, all_84_0_326) = all_131_0_348
% 36.66/9.26 | (269) apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_131_1_349
% 36.66/9.27 | (270) ~ (all_131_0_348 = 0) | ~ (all_131_1_349 = 0)
% 36.66/9.27 |
% 36.66/9.27 +-Applying beta-rule and splitting (214), into two cases.
% 36.66/9.27 |-Branch one:
% 36.66/9.27 | (229) all_84_0_326 = all_84_1_327
% 36.66/9.27 |
% 36.66/9.27 | Equations (229) can reduce 205 to:
% 36.66/9.27 | (201) $false
% 36.66/9.27 |
% 36.66/9.27 |-The branch is then unsatisfiable
% 36.66/9.27 |-Branch two:
% 36.66/9.27 | (205) ~ (all_84_0_326 = all_84_1_327)
% 36.66/9.27 | (274) ? [v0] : ? [v1] : (apply(all_0_6_6, all_84_2_328, all_84_0_326) = v0 & apply(all_0_6_6, all_84_2_328, all_84_1_327) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating (274) with all_136_0_350, all_136_1_351 yields:
% 36.66/9.27 | (275) apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_136_1_351 & apply(all_0_6_6, all_84_2_328, all_84_1_327) = all_136_0_350 & ( ~ (all_136_0_350 = 0) | ~ (all_136_1_351 = 0))
% 36.66/9.27 |
% 36.66/9.27 | Applying alpha-rule on (275) yields:
% 36.66/9.27 | (276) apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_136_1_351
% 36.66/9.27 | (277) apply(all_0_6_6, all_84_2_328, all_84_1_327) = all_136_0_350
% 36.66/9.27 | (278) ~ (all_136_0_350 = 0) | ~ (all_136_1_351 = 0)
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (75) with all_0_6_6, all_84_2_328, all_84_0_326, all_136_1_351, 0 and discharging atoms apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_136_1_351, apply(all_0_6_6, all_84_2_328, all_84_0_326) = 0, yields:
% 36.66/9.27 | (279) all_136_1_351 = 0
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (75) with all_0_6_6, all_84_2_328, all_84_0_326, all_121_0_344, all_136_1_351 and discharging atoms apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_136_1_351, apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_121_0_344, yields:
% 36.66/9.27 | (280) all_136_1_351 = all_121_0_344
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (75) with all_0_7_7, all_84_2_328, all_84_1_327, all_131_1_349, 0 and discharging atoms apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_131_1_349, apply(all_0_7_7, all_84_2_328, all_84_1_327) = 0, yields:
% 36.66/9.27 | (281) all_131_1_349 = 0
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (75) with all_0_7_7, all_84_2_328, all_84_1_327, all_126_0_346, all_131_1_349 and discharging atoms apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_131_1_349, apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_126_0_346, yields:
% 36.66/9.27 | (282) all_131_1_349 = all_126_0_346
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (55) with all_84_0_326, all_0_3_3, all_116_1_342, 0 and discharging atoms member(all_84_0_326, all_0_3_3) = all_116_1_342, member(all_84_0_326, all_0_3_3) = 0, yields:
% 36.66/9.27 | (283) all_116_1_342 = 0
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (55) with all_84_1_327, all_0_3_3, all_111_1_339, 0 and discharging atoms member(all_84_1_327, all_0_3_3) = all_111_1_339, member(all_84_1_327, all_0_3_3) = 0, yields:
% 36.66/9.27 | (284) all_111_1_339 = 0
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (55) with all_84_2_328, all_0_4_4, all_116_2_343, 0 and discharging atoms member(all_84_2_328, all_0_4_4) = all_116_2_343, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.27 | (285) all_116_2_343 = 0
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (55) with all_84_2_328, all_0_4_4, all_111_2_340, all_116_2_343 and discharging atoms member(all_84_2_328, all_0_4_4) = all_116_2_343, member(all_84_2_328, all_0_4_4) = all_111_2_340, yields:
% 36.66/9.27 | (286) all_116_2_343 = all_111_2_340
% 36.66/9.27 |
% 36.66/9.27 | Combining equations (279,280) yields a new equation:
% 36.66/9.27 | (287) all_121_0_344 = 0
% 36.66/9.27 |
% 36.66/9.27 | Combining equations (281,282) yields a new equation:
% 36.66/9.27 | (288) all_126_0_346 = 0
% 36.66/9.27 |
% 36.66/9.27 | Combining equations (285,286) yields a new equation:
% 36.66/9.27 | (289) all_111_2_340 = 0
% 36.66/9.27 |
% 36.66/9.27 | From (287) and (252) follows:
% 36.66/9.27 | (208) apply(all_0_6_6, all_84_2_328, all_84_0_326) = 0
% 36.66/9.27 |
% 36.66/9.27 | From (288) and (261) follows:
% 36.66/9.27 | (210) apply(all_0_7_7, all_84_2_328, all_84_1_327) = 0
% 36.66/9.27 |
% 36.66/9.27 | From (283) and (244) follows:
% 36.66/9.27 | (206) member(all_84_0_326, all_0_3_3) = 0
% 36.66/9.27 |
% 36.66/9.27 | From (284) and (235) follows:
% 36.66/9.27 | (209) member(all_84_1_327, all_0_3_3) = 0
% 36.66/9.27 |
% 36.66/9.27 | From (289) and (236) follows:
% 36.66/9.27 | (207) member(all_84_2_328, all_0_4_4) = 0
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (90) with all_84_1_327, all_101_0_333, all_84_2_328, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, apply(all_0_7_7, all_84_2_328, all_84_1_327) = 0, member(all_101_0_333, all_0_3_3) = 0, yields:
% 36.66/9.27 | (295) all_101_0_333 = all_84_1_327 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_7_7, all_84_2_328, all_101_0_333) = v2 & member(all_84_1_327, all_0_3_3) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (84) with all_84_1_327, all_101_0_333, all_84_2_328, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, member(all_101_0_333, all_0_3_3) = 0, member(all_84_1_327, all_0_3_3) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.27 | (296) all_101_0_333 = all_84_1_327 | ? [v0] : ? [v1] : (apply(all_0_7_7, all_84_2_328, all_101_0_333) = v0 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (90) with all_84_0_326, all_97_0_330, all_84_2_328, all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_4_4, all_0_3_3) = 0, apply(all_0_6_6, all_84_2_328, all_84_0_326) = 0, member(all_97_0_330, all_0_3_3) = 0, yields:
% 36.66/9.27 | (297) all_97_0_330 = all_84_0_326 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_84_2_328, all_97_0_330) = v2 & member(all_84_0_326, all_0_3_3) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (84) with all_84_0_326, all_97_0_330, all_84_2_328, all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_4_4, all_0_3_3) = 0, member(all_97_0_330, all_0_3_3) = 0, member(all_84_0_326, all_0_3_3) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.27 | (298) all_97_0_330 = all_84_0_326 | ? [v0] : ? [v1] : (apply(all_0_6_6, all_84_2_328, all_97_0_330) = v0 & apply(all_0_6_6, all_84_2_328, all_84_0_326) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (65) with all_84_0_326, all_84_1_327, all_95_0_329, all_0_3_3, all_0_5_5, all_0_1_1, all_0_2_2 and discharging atoms equal_maps(all_0_2_2, all_0_1_1, all_0_5_5, all_0_3_3) = 0, member(all_95_0_329, all_0_5_5) = 0, member(all_84_0_326, all_0_3_3) = 0, member(all_84_1_327, all_0_3_3) = 0, yields:
% 36.66/9.27 | (299) all_84_0_326 = all_84_1_327 | ? [v0] : ? [v1] : (apply(all_0_1_1, all_95_0_329, all_84_0_326) = v1 & apply(all_0_2_2, all_95_0_329, all_84_1_327) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (71) with all_95_0_329, 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_95_0_329, all_0_5_5) = 0, yields:
% 36.66/9.27 | (300) ? [v0] : (apply(all_0_8_8, all_95_0_329, v0) = 0 & member(v0, all_0_4_4) = 0)
% 36.66/9.27 |
% 36.66/9.27 | Instantiating (300) with all_155_0_352 yields:
% 36.66/9.27 | (301) apply(all_0_8_8, all_95_0_329, all_155_0_352) = 0 & member(all_155_0_352, all_0_4_4) = 0
% 36.66/9.27 |
% 36.66/9.27 | Applying alpha-rule on (301) yields:
% 36.66/9.27 | (302) apply(all_0_8_8, all_95_0_329, all_155_0_352) = 0
% 36.66/9.27 | (303) member(all_155_0_352, all_0_4_4) = 0
% 36.66/9.27 |
% 36.66/9.27 +-Applying beta-rule and splitting (298), into two cases.
% 36.66/9.27 |-Branch one:
% 36.66/9.27 | (304) all_97_0_330 = all_84_0_326
% 36.66/9.27 |
% 36.66/9.27 | From (304) and (224) follows:
% 36.66/9.27 | (208) apply(all_0_6_6, all_84_2_328, all_84_0_326) = 0
% 36.66/9.27 |
% 36.66/9.27 | From (304) and (225) follows:
% 36.66/9.27 | (206) member(all_84_0_326, all_0_3_3) = 0
% 36.66/9.27 |
% 36.66/9.27 +-Applying beta-rule and splitting (299), into two cases.
% 36.66/9.27 |-Branch one:
% 36.66/9.27 | (229) all_84_0_326 = all_84_1_327
% 36.66/9.27 |
% 36.66/9.27 | Equations (229) can reduce 205 to:
% 36.66/9.27 | (201) $false
% 36.66/9.27 |
% 36.66/9.27 |-The branch is then unsatisfiable
% 36.66/9.27 |-Branch two:
% 36.66/9.27 | (205) ~ (all_84_0_326 = all_84_1_327)
% 36.66/9.27 | (310) ? [v0] : ? [v1] : (apply(all_0_1_1, all_95_0_329, all_84_0_326) = v1 & apply(all_0_2_2, all_95_0_329, all_84_1_327) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating (310) with all_164_0_353, all_164_1_354 yields:
% 36.66/9.27 | (311) apply(all_0_1_1, all_95_0_329, all_84_0_326) = all_164_0_353 & apply(all_0_2_2, all_95_0_329, all_84_1_327) = all_164_1_354 & ( ~ (all_164_0_353 = 0) | ~ (all_164_1_354 = 0))
% 36.66/9.27 |
% 36.66/9.27 | Applying alpha-rule on (311) yields:
% 36.66/9.27 | (312) apply(all_0_1_1, all_95_0_329, all_84_0_326) = all_164_0_353
% 36.66/9.27 | (313) apply(all_0_2_2, all_95_0_329, all_84_1_327) = all_164_1_354
% 36.66/9.27 | (314) ~ (all_164_0_353 = 0) | ~ (all_164_1_354 = 0)
% 36.66/9.27 |
% 36.66/9.27 +-Applying beta-rule and splitting (296), into two cases.
% 36.66/9.27 |-Branch one:
% 36.66/9.27 | (315) all_101_0_333 = all_84_1_327
% 36.66/9.27 |
% 36.66/9.27 | From (315) and (227) follows:
% 36.66/9.27 | (210) apply(all_0_7_7, all_84_2_328, all_84_1_327) = 0
% 36.66/9.27 |
% 36.66/9.27 | From (315) and (228) follows:
% 36.66/9.27 | (209) member(all_84_1_327, all_0_3_3) = 0
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (120) with all_84_2_328, all_164_0_353, all_0_1_1, all_84_0_326, all_95_0_329, all_0_3_3, all_0_4_4, all_0_5_5, all_0_8_8, all_0_6_6 and discharging atoms compose_function(all_0_6_6, all_0_8_8, all_0_5_5, all_0_4_4, all_0_3_3) = all_0_1_1, apply(all_0_1_1, all_95_0_329, all_84_0_326) = all_164_0_353, apply(all_0_6_6, all_84_2_328, all_84_0_326) = 0, yields:
% 36.66/9.27 | (318) all_164_0_353 = 0 | ? [v0] : ? [v1] : ((apply(all_0_8_8, all_95_0_329, all_84_2_328) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_0_326, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (77) with all_84_2_328, all_164_0_353, all_0_1_1, all_84_0_326, all_95_0_329, all_0_3_3, all_0_4_4, all_0_5_5, all_0_8_8, all_0_6_6 and discharging atoms compose_function(all_0_6_6, all_0_8_8, all_0_5_5, all_0_4_4, all_0_3_3) = all_0_1_1, apply(all_0_1_1, all_95_0_329, all_84_0_326) = all_164_0_353, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.27 | (319) all_164_0_353 = 0 | ? [v0] : ? [v1] : ((apply(all_0_6_6, all_84_2_328, all_84_0_326) = v1 & apply(all_0_8_8, all_95_0_329, all_84_2_328) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_0_326, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (16) with all_84_2_328, all_164_1_354, all_0_2_2, all_84_1_327, all_95_0_329, all_0_3_3, 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_3_3) = all_0_2_2, apply(all_0_2_2, all_95_0_329, all_84_1_327) = all_164_1_354, apply(all_0_8_8, all_95_0_329, all_84_2_328) = 0, yields:
% 36.66/9.27 | (320) all_164_1_354 = 0 | ? [v0] : ? [v1] : ((apply(all_0_7_7, all_84_2_328, all_84_1_327) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_1_327, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (16) with all_155_0_352, all_164_0_353, all_0_1_1, all_84_0_326, all_95_0_329, all_0_3_3, all_0_4_4, all_0_5_5, all_0_8_8, all_0_6_6 and discharging atoms compose_function(all_0_6_6, all_0_8_8, all_0_5_5, all_0_4_4, all_0_3_3) = all_0_1_1, apply(all_0_1_1, all_95_0_329, all_84_0_326) = all_164_0_353, apply(all_0_8_8, all_95_0_329, all_155_0_352) = 0, yields:
% 36.66/9.27 | (321) all_164_0_353 = 0 | ? [v0] : ? [v1] : ((apply(all_0_6_6, all_155_0_352, all_84_0_326) = v1 & member(all_155_0_352, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_0_326, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (16) with all_155_0_352, all_164_1_354, all_0_2_2, all_84_1_327, all_95_0_329, all_0_3_3, 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_3_3) = all_0_2_2, apply(all_0_2_2, all_95_0_329, all_84_1_327) = all_164_1_354, apply(all_0_8_8, all_95_0_329, all_155_0_352) = 0, yields:
% 36.66/9.27 | (322) all_164_1_354 = 0 | ? [v0] : ? [v1] : ((apply(all_0_7_7, all_155_0_352, all_84_1_327) = v1 & member(all_155_0_352, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_1_327, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.27 |
% 36.66/9.27 | Instantiating formula (77) with all_155_0_352, all_164_1_354, all_0_2_2, all_84_1_327, all_95_0_329, all_0_3_3, 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_3_3) = all_0_2_2, apply(all_0_2_2, all_95_0_329, all_84_1_327) = all_164_1_354, member(all_155_0_352, all_0_4_4) = 0, yields:
% 36.66/9.27 | (323) all_164_1_354 = 0 | ? [v0] : ? [v1] : ((apply(all_0_7_7, all_155_0_352, all_84_1_327) = v1 & apply(all_0_8_8, all_95_0_329, all_155_0_352) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_1_327, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.28 |
% 36.66/9.28 | Instantiating formula (90) with all_84_2_328, all_155_0_352, all_95_0_329, 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_95_0_329, all_84_2_328) = 0, member(all_155_0_352, all_0_4_4) = 0, yields:
% 36.66/9.28 | (324) all_155_0_352 = all_84_2_328 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_8_8, all_95_0_329, all_155_0_352) = v2 & member(all_95_0_329, all_0_5_5) = v0 & member(all_84_2_328, all_0_4_4) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.28 |
% 36.66/9.28 | Instantiating formula (84) with all_84_2_328, all_155_0_352, all_95_0_329, 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_155_0_352, all_0_4_4) = 0, member(all_95_0_329, all_0_5_5) = 0, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.28 | (325) all_155_0_352 = all_84_2_328 | ? [v0] : ? [v1] : (apply(all_0_8_8, all_95_0_329, all_155_0_352) = v0 & apply(all_0_8_8, all_95_0_329, all_84_2_328) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (324), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (326) all_155_0_352 = all_84_2_328
% 36.66/9.28 |
% 36.66/9.28 | From (326) and (302) follows:
% 36.66/9.28 | (221) apply(all_0_8_8, all_95_0_329, all_84_2_328) = 0
% 36.66/9.28 |
% 36.66/9.28 | From (326) and (303) follows:
% 36.66/9.28 | (207) member(all_84_2_328, all_0_4_4) = 0
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (323), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (329) all_164_1_354 = 0
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (321), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (330) all_164_0_353 = 0
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (314), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (331) ~ (all_164_0_353 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Equations (330) can reduce 331 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (330) all_164_0_353 = 0
% 36.66/9.28 | (334) ~ (all_164_1_354 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Equations (329) can reduce 334 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (331) ~ (all_164_0_353 = 0)
% 36.66/9.28 | (337) ? [v0] : ? [v1] : ((apply(all_0_6_6, all_155_0_352, all_84_0_326) = v1 & member(all_155_0_352, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_0_326, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.28 |
% 36.66/9.28 | Instantiating (337) with all_465_0_413, all_465_1_414 yields:
% 36.66/9.28 | (338) (apply(all_0_6_6, all_155_0_352, all_84_0_326) = all_465_0_413 & member(all_155_0_352, all_0_4_4) = all_465_1_414 & ( ~ (all_465_0_413 = 0) | ~ (all_465_1_414 = 0))) | (member(all_95_0_329, all_0_5_5) = all_465_1_414 & member(all_84_0_326, all_0_3_3) = all_465_0_413 & ( ~ (all_465_0_413 = 0) | ~ (all_465_1_414 = 0)))
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (319), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (330) all_164_0_353 = 0
% 36.66/9.28 |
% 36.66/9.28 | Equations (330) can reduce 331 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (331) ~ (all_164_0_353 = 0)
% 36.66/9.28 | (342) ? [v0] : ? [v1] : ((apply(all_0_6_6, all_84_2_328, all_84_0_326) = v1 & apply(all_0_8_8, all_95_0_329, all_84_2_328) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_0_326, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.28 |
% 36.66/9.28 | Instantiating (342) with all_470_0_415, all_470_1_416 yields:
% 36.66/9.28 | (343) (apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_470_0_415 & apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_470_1_416 & ( ~ (all_470_0_415 = 0) | ~ (all_470_1_416 = 0))) | (member(all_95_0_329, all_0_5_5) = all_470_1_416 & member(all_84_0_326, all_0_3_3) = all_470_0_415 & ( ~ (all_470_0_415 = 0) | ~ (all_470_1_416 = 0)))
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (343), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (344) apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_470_0_415 & apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_470_1_416 & ( ~ (all_470_0_415 = 0) | ~ (all_470_1_416 = 0))
% 36.66/9.28 |
% 36.66/9.28 | Applying alpha-rule on (344) yields:
% 36.66/9.28 | (345) apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_470_0_415
% 36.66/9.28 | (346) apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_470_1_416
% 36.66/9.28 | (347) ~ (all_470_0_415 = 0) | ~ (all_470_1_416 = 0)
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (318), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (330) all_164_0_353 = 0
% 36.66/9.28 |
% 36.66/9.28 | Equations (330) can reduce 331 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (331) ~ (all_164_0_353 = 0)
% 36.66/9.28 | (351) ? [v0] : ? [v1] : ((apply(all_0_8_8, all_95_0_329, all_84_2_328) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_0_326, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.28 |
% 36.66/9.28 | Instantiating (351) with all_479_0_417, all_479_1_418 yields:
% 36.66/9.28 | (352) (apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_479_0_417 & member(all_84_2_328, all_0_4_4) = all_479_1_418 & ( ~ (all_479_0_417 = 0) | ~ (all_479_1_418 = 0))) | (member(all_95_0_329, all_0_5_5) = all_479_1_418 & member(all_84_0_326, all_0_3_3) = all_479_0_417 & ( ~ (all_479_0_417 = 0) | ~ (all_479_1_418 = 0)))
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (352), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (353) apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_479_0_417 & member(all_84_2_328, all_0_4_4) = all_479_1_418 & ( ~ (all_479_0_417 = 0) | ~ (all_479_1_418 = 0))
% 36.66/9.28 |
% 36.66/9.28 | Applying alpha-rule on (353) yields:
% 36.66/9.28 | (354) apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_479_0_417
% 36.66/9.28 | (355) member(all_84_2_328, all_0_4_4) = all_479_1_418
% 36.66/9.28 | (356) ~ (all_479_0_417 = 0) | ~ (all_479_1_418 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Instantiating formula (75) with all_0_8_8, all_95_0_329, all_84_2_328, all_479_0_417, 0 and discharging atoms apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_479_0_417, apply(all_0_8_8, all_95_0_329, all_84_2_328) = 0, yields:
% 36.66/9.28 | (357) all_479_0_417 = 0
% 36.66/9.28 |
% 36.66/9.28 | Instantiating formula (75) with all_0_8_8, all_95_0_329, all_84_2_328, all_470_1_416, all_479_0_417 and discharging atoms apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_479_0_417, apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_470_1_416, yields:
% 36.66/9.28 | (358) all_479_0_417 = all_470_1_416
% 36.66/9.28 |
% 36.66/9.28 | Instantiating formula (55) with all_84_2_328, all_0_4_4, all_479_1_418, 0 and discharging atoms member(all_84_2_328, all_0_4_4) = all_479_1_418, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.28 | (359) all_479_1_418 = 0
% 36.66/9.28 |
% 36.66/9.28 | Combining equations (357,358) yields a new equation:
% 36.66/9.28 | (360) all_470_1_416 = 0
% 36.66/9.28 |
% 36.66/9.28 | Combining equations (360,358) yields a new equation:
% 36.66/9.28 | (357) all_479_0_417 = 0
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (356), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (362) ~ (all_479_0_417 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Equations (357) can reduce 362 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (357) all_479_0_417 = 0
% 36.66/9.28 | (365) ~ (all_479_1_418 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Equations (359) can reduce 365 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (367) member(all_95_0_329, all_0_5_5) = all_479_1_418 & member(all_84_0_326, all_0_3_3) = all_479_0_417 & ( ~ (all_479_0_417 = 0) | ~ (all_479_1_418 = 0))
% 36.66/9.28 |
% 36.66/9.28 | Applying alpha-rule on (367) yields:
% 36.66/9.28 | (368) member(all_95_0_329, all_0_5_5) = all_479_1_418
% 36.66/9.28 | (369) member(all_84_0_326, all_0_3_3) = all_479_0_417
% 36.66/9.28 | (356) ~ (all_479_0_417 = 0) | ~ (all_479_1_418 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Instantiating formula (55) with all_95_0_329, all_0_5_5, all_479_1_418, 0 and discharging atoms member(all_95_0_329, all_0_5_5) = all_479_1_418, member(all_95_0_329, all_0_5_5) = 0, yields:
% 36.66/9.28 | (359) all_479_1_418 = 0
% 36.66/9.28 |
% 36.66/9.28 | Instantiating formula (55) with all_84_0_326, all_0_3_3, all_479_0_417, 0 and discharging atoms member(all_84_0_326, all_0_3_3) = all_479_0_417, member(all_84_0_326, all_0_3_3) = 0, yields:
% 36.66/9.28 | (357) all_479_0_417 = 0
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (356), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (362) ~ (all_479_0_417 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Equations (357) can reduce 362 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (357) all_479_0_417 = 0
% 36.66/9.28 | (365) ~ (all_479_1_418 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Equations (359) can reduce 365 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (378) member(all_95_0_329, all_0_5_5) = all_470_1_416 & member(all_84_0_326, all_0_3_3) = all_470_0_415 & ( ~ (all_470_0_415 = 0) | ~ (all_470_1_416 = 0))
% 36.66/9.28 |
% 36.66/9.28 | Applying alpha-rule on (378) yields:
% 36.66/9.28 | (379) member(all_95_0_329, all_0_5_5) = all_470_1_416
% 36.66/9.28 | (380) member(all_84_0_326, all_0_3_3) = all_470_0_415
% 36.66/9.28 | (347) ~ (all_470_0_415 = 0) | ~ (all_470_1_416 = 0)
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (338), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (382) apply(all_0_6_6, all_155_0_352, all_84_0_326) = all_465_0_413 & member(all_155_0_352, all_0_4_4) = all_465_1_414 & ( ~ (all_465_0_413 = 0) | ~ (all_465_1_414 = 0))
% 36.66/9.28 |
% 36.66/9.28 | Applying alpha-rule on (382) yields:
% 36.66/9.28 | (383) apply(all_0_6_6, all_155_0_352, all_84_0_326) = all_465_0_413
% 36.66/9.28 | (384) member(all_155_0_352, all_0_4_4) = all_465_1_414
% 36.66/9.28 | (385) ~ (all_465_0_413 = 0) | ~ (all_465_1_414 = 0)
% 36.66/9.28 |
% 36.66/9.28 | From (326) and (383) follows:
% 36.66/9.28 | (386) apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_465_0_413
% 36.66/9.28 |
% 36.66/9.28 | From (326) and (384) follows:
% 36.66/9.28 | (387) member(all_84_2_328, all_0_4_4) = all_465_1_414
% 36.66/9.28 |
% 36.66/9.28 | Instantiating formula (75) with all_0_6_6, all_84_2_328, all_84_0_326, all_465_0_413, 0 and discharging atoms apply(all_0_6_6, all_84_2_328, all_84_0_326) = all_465_0_413, apply(all_0_6_6, all_84_2_328, all_84_0_326) = 0, yields:
% 36.66/9.28 | (388) all_465_0_413 = 0
% 36.66/9.28 |
% 36.66/9.28 | Instantiating formula (55) with all_84_2_328, all_0_4_4, all_465_1_414, 0 and discharging atoms member(all_84_2_328, all_0_4_4) = all_465_1_414, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.28 | (389) all_465_1_414 = 0
% 36.66/9.28 |
% 36.66/9.28 +-Applying beta-rule and splitting (385), into two cases.
% 36.66/9.28 |-Branch one:
% 36.66/9.28 | (390) ~ (all_465_0_413 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Equations (388) can reduce 390 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (388) all_465_0_413 = 0
% 36.66/9.28 | (393) ~ (all_465_1_414 = 0)
% 36.66/9.28 |
% 36.66/9.28 | Equations (389) can reduce 393 to:
% 36.66/9.28 | (201) $false
% 36.66/9.28 |
% 36.66/9.28 |-The branch is then unsatisfiable
% 36.66/9.28 |-Branch two:
% 36.66/9.28 | (395) member(all_95_0_329, all_0_5_5) = all_465_1_414 & member(all_84_0_326, all_0_3_3) = all_465_0_413 & ( ~ (all_465_0_413 = 0) | ~ (all_465_1_414 = 0))
% 36.66/9.29 |
% 36.66/9.29 | Applying alpha-rule on (395) yields:
% 36.66/9.29 | (396) member(all_95_0_329, all_0_5_5) = all_465_1_414
% 36.66/9.29 | (397) member(all_84_0_326, all_0_3_3) = all_465_0_413
% 36.66/9.29 | (385) ~ (all_465_0_413 = 0) | ~ (all_465_1_414 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_95_0_329, all_0_5_5, all_470_1_416, 0 and discharging atoms member(all_95_0_329, all_0_5_5) = all_470_1_416, member(all_95_0_329, all_0_5_5) = 0, yields:
% 36.66/9.29 | (360) all_470_1_416 = 0
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_95_0_329, all_0_5_5, all_465_1_414, all_470_1_416 and discharging atoms member(all_95_0_329, all_0_5_5) = all_470_1_416, member(all_95_0_329, all_0_5_5) = all_465_1_414, yields:
% 36.66/9.29 | (400) all_470_1_416 = all_465_1_414
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_84_0_326, all_0_3_3, all_470_0_415, 0 and discharging atoms member(all_84_0_326, all_0_3_3) = all_470_0_415, member(all_84_0_326, all_0_3_3) = 0, yields:
% 36.66/9.29 | (401) all_470_0_415 = 0
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_84_0_326, all_0_3_3, all_465_0_413, all_470_0_415 and discharging atoms member(all_84_0_326, all_0_3_3) = all_470_0_415, member(all_84_0_326, all_0_3_3) = all_465_0_413, yields:
% 36.66/9.29 | (402) all_470_0_415 = all_465_0_413
% 36.66/9.29 |
% 36.66/9.29 | Combining equations (401,402) yields a new equation:
% 36.66/9.29 | (388) all_465_0_413 = 0
% 36.66/9.29 |
% 36.66/9.29 | Combining equations (360,400) yields a new equation:
% 36.66/9.29 | (389) all_465_1_414 = 0
% 36.66/9.29 |
% 36.66/9.29 +-Applying beta-rule and splitting (385), into two cases.
% 36.66/9.29 |-Branch one:
% 36.66/9.29 | (390) ~ (all_465_0_413 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Equations (388) can reduce 390 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.29 |-Branch two:
% 36.66/9.29 | (388) all_465_0_413 = 0
% 36.66/9.29 | (393) ~ (all_465_1_414 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Equations (389) can reduce 393 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.29 |-Branch two:
% 36.66/9.29 | (334) ~ (all_164_1_354 = 0)
% 36.66/9.29 | (411) ? [v0] : ? [v1] : ((apply(all_0_7_7, all_155_0_352, all_84_1_327) = v1 & apply(all_0_8_8, all_95_0_329, all_155_0_352) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_1_327, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.29 |
% 36.66/9.29 +-Applying beta-rule and splitting (322), into two cases.
% 36.66/9.29 |-Branch one:
% 36.66/9.29 | (329) all_164_1_354 = 0
% 36.66/9.29 |
% 36.66/9.29 | Equations (329) can reduce 334 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.29 |-Branch two:
% 36.66/9.29 | (334) ~ (all_164_1_354 = 0)
% 36.66/9.29 | (415) ? [v0] : ? [v1] : ((apply(all_0_7_7, all_155_0_352, all_84_1_327) = v1 & member(all_155_0_352, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_1_327, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.29 |
% 36.66/9.29 | Instantiating (415) with all_470_0_556, all_470_1_557 yields:
% 36.66/9.29 | (416) (apply(all_0_7_7, all_155_0_352, all_84_1_327) = all_470_0_556 & member(all_155_0_352, all_0_4_4) = all_470_1_557 & ( ~ (all_470_0_556 = 0) | ~ (all_470_1_557 = 0))) | (member(all_95_0_329, all_0_5_5) = all_470_1_557 & member(all_84_1_327, all_0_3_3) = all_470_0_556 & ( ~ (all_470_0_556 = 0) | ~ (all_470_1_557 = 0)))
% 36.66/9.29 |
% 36.66/9.29 +-Applying beta-rule and splitting (320), into two cases.
% 36.66/9.29 |-Branch one:
% 36.66/9.29 | (329) all_164_1_354 = 0
% 36.66/9.29 |
% 36.66/9.29 | Equations (329) can reduce 334 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.29 |-Branch two:
% 36.66/9.29 | (334) ~ (all_164_1_354 = 0)
% 36.66/9.29 | (420) ? [v0] : ? [v1] : ((apply(all_0_7_7, all_84_2_328, all_84_1_327) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_95_0_329, all_0_5_5) = v0 & member(all_84_1_327, all_0_3_3) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 36.66/9.29 |
% 36.66/9.29 | Instantiating (420) with all_484_0_565, all_484_1_566 yields:
% 36.66/9.29 | (421) (apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_484_0_565 & member(all_84_2_328, all_0_4_4) = all_484_1_566 & ( ~ (all_484_0_565 = 0) | ~ (all_484_1_566 = 0))) | (member(all_95_0_329, all_0_5_5) = all_484_1_566 & member(all_84_1_327, all_0_3_3) = all_484_0_565 & ( ~ (all_484_0_565 = 0) | ~ (all_484_1_566 = 0)))
% 36.66/9.29 |
% 36.66/9.29 +-Applying beta-rule and splitting (421), into two cases.
% 36.66/9.29 |-Branch one:
% 36.66/9.29 | (422) apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_484_0_565 & member(all_84_2_328, all_0_4_4) = all_484_1_566 & ( ~ (all_484_0_565 = 0) | ~ (all_484_1_566 = 0))
% 36.66/9.29 |
% 36.66/9.29 | Applying alpha-rule on (422) yields:
% 36.66/9.29 | (423) apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_484_0_565
% 36.66/9.29 | (424) member(all_84_2_328, all_0_4_4) = all_484_1_566
% 36.66/9.29 | (425) ~ (all_484_0_565 = 0) | ~ (all_484_1_566 = 0)
% 36.66/9.29 |
% 36.66/9.29 +-Applying beta-rule and splitting (416), into two cases.
% 36.66/9.29 |-Branch one:
% 36.66/9.29 | (426) apply(all_0_7_7, all_155_0_352, all_84_1_327) = all_470_0_556 & member(all_155_0_352, all_0_4_4) = all_470_1_557 & ( ~ (all_470_0_556 = 0) | ~ (all_470_1_557 = 0))
% 36.66/9.29 |
% 36.66/9.29 | Applying alpha-rule on (426) yields:
% 36.66/9.29 | (427) apply(all_0_7_7, all_155_0_352, all_84_1_327) = all_470_0_556
% 36.66/9.29 | (428) member(all_155_0_352, all_0_4_4) = all_470_1_557
% 36.66/9.29 | (429) ~ (all_470_0_556 = 0) | ~ (all_470_1_557 = 0)
% 36.66/9.29 |
% 36.66/9.29 | From (326) and (427) follows:
% 36.66/9.29 | (430) apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_470_0_556
% 36.66/9.29 |
% 36.66/9.29 | From (326) and (428) follows:
% 36.66/9.29 | (431) member(all_84_2_328, all_0_4_4) = all_470_1_557
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (75) with all_0_7_7, all_84_2_328, all_84_1_327, all_470_0_556, 0 and discharging atoms apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_470_0_556, apply(all_0_7_7, all_84_2_328, all_84_1_327) = 0, yields:
% 36.66/9.29 | (432) all_470_0_556 = 0
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_84_2_328, all_0_4_4, all_484_1_566, 0 and discharging atoms member(all_84_2_328, all_0_4_4) = all_484_1_566, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.29 | (433) all_484_1_566 = 0
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_84_2_328, all_0_4_4, all_470_1_557, all_484_1_566 and discharging atoms member(all_84_2_328, all_0_4_4) = all_484_1_566, member(all_84_2_328, all_0_4_4) = all_470_1_557, yields:
% 36.66/9.29 | (434) all_484_1_566 = all_470_1_557
% 36.66/9.29 |
% 36.66/9.29 | Combining equations (434,433) yields a new equation:
% 36.66/9.29 | (435) all_470_1_557 = 0
% 36.66/9.29 |
% 36.66/9.29 | Simplifying 435 yields:
% 36.66/9.29 | (436) all_470_1_557 = 0
% 36.66/9.29 |
% 36.66/9.29 +-Applying beta-rule and splitting (429), into two cases.
% 36.66/9.29 |-Branch one:
% 36.66/9.29 | (437) ~ (all_470_0_556 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Equations (432) can reduce 437 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.29 |-Branch two:
% 36.66/9.29 | (432) all_470_0_556 = 0
% 36.66/9.29 | (440) ~ (all_470_1_557 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Equations (436) can reduce 440 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.29 |-Branch two:
% 36.66/9.29 | (442) member(all_95_0_329, all_0_5_5) = all_470_1_557 & member(all_84_1_327, all_0_3_3) = all_470_0_556 & ( ~ (all_470_0_556 = 0) | ~ (all_470_1_557 = 0))
% 36.66/9.29 |
% 36.66/9.29 | Applying alpha-rule on (442) yields:
% 36.66/9.29 | (443) member(all_95_0_329, all_0_5_5) = all_470_1_557
% 36.66/9.29 | (444) member(all_84_1_327, all_0_3_3) = all_470_0_556
% 36.66/9.29 | (429) ~ (all_470_0_556 = 0) | ~ (all_470_1_557 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_95_0_329, all_0_5_5, all_470_1_557, 0 and discharging atoms member(all_95_0_329, all_0_5_5) = all_470_1_557, member(all_95_0_329, all_0_5_5) = 0, yields:
% 36.66/9.29 | (436) all_470_1_557 = 0
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_84_1_327, all_0_3_3, all_470_0_556, 0 and discharging atoms member(all_84_1_327, all_0_3_3) = all_470_0_556, member(all_84_1_327, all_0_3_3) = 0, yields:
% 36.66/9.29 | (432) all_470_0_556 = 0
% 36.66/9.29 |
% 36.66/9.29 +-Applying beta-rule and splitting (429), into two cases.
% 36.66/9.29 |-Branch one:
% 36.66/9.29 | (437) ~ (all_470_0_556 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Equations (432) can reduce 437 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.29 |-Branch two:
% 36.66/9.29 | (432) all_470_0_556 = 0
% 36.66/9.29 | (440) ~ (all_470_1_557 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Equations (436) can reduce 440 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.29 |-Branch two:
% 36.66/9.29 | (453) member(all_95_0_329, all_0_5_5) = all_484_1_566 & member(all_84_1_327, all_0_3_3) = all_484_0_565 & ( ~ (all_484_0_565 = 0) | ~ (all_484_1_566 = 0))
% 36.66/9.29 |
% 36.66/9.29 | Applying alpha-rule on (453) yields:
% 36.66/9.29 | (454) member(all_95_0_329, all_0_5_5) = all_484_1_566
% 36.66/9.29 | (455) member(all_84_1_327, all_0_3_3) = all_484_0_565
% 36.66/9.29 | (425) ~ (all_484_0_565 = 0) | ~ (all_484_1_566 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_95_0_329, all_0_5_5, all_484_1_566, 0 and discharging atoms member(all_95_0_329, all_0_5_5) = all_484_1_566, member(all_95_0_329, all_0_5_5) = 0, yields:
% 36.66/9.29 | (433) all_484_1_566 = 0
% 36.66/9.29 |
% 36.66/9.29 | Instantiating formula (55) with all_84_1_327, all_0_3_3, all_484_0_565, 0 and discharging atoms member(all_84_1_327, all_0_3_3) = all_484_0_565, member(all_84_1_327, all_0_3_3) = 0, yields:
% 36.66/9.29 | (458) all_484_0_565 = 0
% 36.66/9.29 |
% 36.66/9.29 +-Applying beta-rule and splitting (425), into two cases.
% 36.66/9.29 |-Branch one:
% 36.66/9.29 | (459) ~ (all_484_0_565 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Equations (458) can reduce 459 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.29 |-Branch two:
% 36.66/9.29 | (458) all_484_0_565 = 0
% 36.66/9.29 | (462) ~ (all_484_1_566 = 0)
% 36.66/9.29 |
% 36.66/9.29 | Equations (433) can reduce 462 to:
% 36.66/9.29 | (201) $false
% 36.66/9.29 |
% 36.66/9.29 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (464) ~ (all_155_0_352 = all_84_2_328)
% 36.66/9.30 | (465) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_8_8, all_95_0_329, all_155_0_352) = v2 & member(all_95_0_329, all_0_5_5) = v0 & member(all_84_2_328, all_0_4_4) = v1 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.30 |
% 36.66/9.30 +-Applying beta-rule and splitting (325), into two cases.
% 36.66/9.30 |-Branch one:
% 36.66/9.30 | (326) all_155_0_352 = all_84_2_328
% 36.66/9.30 |
% 36.66/9.30 | Equations (326) can reduce 464 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (464) ~ (all_155_0_352 = all_84_2_328)
% 36.66/9.30 | (469) ? [v0] : ? [v1] : (apply(all_0_8_8, all_95_0_329, all_155_0_352) = v0 & apply(all_0_8_8, all_95_0_329, all_84_2_328) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.30 |
% 36.66/9.30 | Instantiating (469) with all_463_0_628, all_463_1_629 yields:
% 36.66/9.30 | (470) apply(all_0_8_8, all_95_0_329, all_155_0_352) = all_463_1_629 & apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_463_0_628 & ( ~ (all_463_0_628 = 0) | ~ (all_463_1_629 = 0))
% 36.66/9.30 |
% 36.66/9.30 | Applying alpha-rule on (470) yields:
% 36.66/9.30 | (471) apply(all_0_8_8, all_95_0_329, all_155_0_352) = all_463_1_629
% 36.66/9.30 | (472) apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_463_0_628
% 36.66/9.30 | (473) ~ (all_463_0_628 = 0) | ~ (all_463_1_629 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Instantiating formula (75) with all_0_8_8, all_95_0_329, all_155_0_352, all_463_1_629, 0 and discharging atoms apply(all_0_8_8, all_95_0_329, all_155_0_352) = all_463_1_629, apply(all_0_8_8, all_95_0_329, all_155_0_352) = 0, yields:
% 36.66/9.30 | (474) all_463_1_629 = 0
% 36.66/9.30 |
% 36.66/9.30 | Instantiating formula (75) with all_0_8_8, all_95_0_329, all_84_2_328, all_463_0_628, 0 and discharging atoms apply(all_0_8_8, all_95_0_329, all_84_2_328) = all_463_0_628, apply(all_0_8_8, all_95_0_329, all_84_2_328) = 0, yields:
% 36.66/9.30 | (475) all_463_0_628 = 0
% 36.66/9.30 |
% 36.66/9.30 +-Applying beta-rule and splitting (473), into two cases.
% 36.66/9.30 |-Branch one:
% 36.66/9.30 | (476) ~ (all_463_0_628 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Equations (475) can reduce 476 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (475) all_463_0_628 = 0
% 36.66/9.30 | (479) ~ (all_463_1_629 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Equations (474) can reduce 479 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (481) ~ (all_101_0_333 = all_84_1_327)
% 36.66/9.30 | (482) ? [v0] : ? [v1] : (apply(all_0_7_7, all_84_2_328, all_101_0_333) = v0 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.30 |
% 36.66/9.30 | Instantiating (482) with all_175_0_664, all_175_1_665 yields:
% 36.66/9.30 | (483) apply(all_0_7_7, all_84_2_328, all_101_0_333) = all_175_1_665 & apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_175_0_664 & ( ~ (all_175_0_664 = 0) | ~ (all_175_1_665 = 0))
% 36.66/9.30 |
% 36.66/9.30 | Applying alpha-rule on (483) yields:
% 36.66/9.30 | (484) apply(all_0_7_7, all_84_2_328, all_101_0_333) = all_175_1_665
% 36.66/9.30 | (485) apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_175_0_664
% 36.66/9.30 | (486) ~ (all_175_0_664 = 0) | ~ (all_175_1_665 = 0)
% 36.66/9.30 |
% 36.66/9.30 +-Applying beta-rule and splitting (295), into two cases.
% 36.66/9.30 |-Branch one:
% 36.66/9.30 | (315) all_101_0_333 = all_84_1_327
% 36.66/9.30 |
% 36.66/9.30 | Equations (315) can reduce 481 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (481) ~ (all_101_0_333 = all_84_1_327)
% 36.66/9.30 | (490) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_7_7, all_84_2_328, all_101_0_333) = v2 & member(all_84_1_327, all_0_3_3) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.30 |
% 36.66/9.30 | Instantiating (490) with all_181_0_666, all_181_1_667, all_181_2_668 yields:
% 36.66/9.30 | (491) apply(all_0_7_7, all_84_2_328, all_101_0_333) = all_181_0_666 & member(all_84_1_327, all_0_3_3) = all_181_1_667 & member(all_84_2_328, all_0_4_4) = all_181_2_668 & ( ~ (all_181_0_666 = 0) | ~ (all_181_1_667 = 0) | ~ (all_181_2_668 = 0))
% 36.66/9.30 |
% 36.66/9.30 | Applying alpha-rule on (491) yields:
% 36.66/9.30 | (492) apply(all_0_7_7, all_84_2_328, all_101_0_333) = all_181_0_666
% 36.66/9.30 | (493) member(all_84_1_327, all_0_3_3) = all_181_1_667
% 36.66/9.30 | (494) member(all_84_2_328, all_0_4_4) = all_181_2_668
% 36.66/9.30 | (495) ~ (all_181_0_666 = 0) | ~ (all_181_1_667 = 0) | ~ (all_181_2_668 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Instantiating formula (75) with all_0_7_7, all_84_2_328, all_101_0_333, all_181_0_666, 0 and discharging atoms apply(all_0_7_7, all_84_2_328, all_101_0_333) = all_181_0_666, apply(all_0_7_7, all_84_2_328, all_101_0_333) = 0, yields:
% 36.66/9.30 | (496) all_181_0_666 = 0
% 36.66/9.30 |
% 36.66/9.30 | Instantiating formula (75) with all_0_7_7, all_84_2_328, all_101_0_333, all_175_1_665, all_181_0_666 and discharging atoms apply(all_0_7_7, all_84_2_328, all_101_0_333) = all_181_0_666, apply(all_0_7_7, all_84_2_328, all_101_0_333) = all_175_1_665, yields:
% 36.66/9.30 | (497) all_181_0_666 = all_175_1_665
% 36.66/9.30 |
% 36.66/9.30 | Instantiating formula (75) with all_0_7_7, all_84_2_328, all_84_1_327, all_175_0_664, 0 and discharging atoms apply(all_0_7_7, all_84_2_328, all_84_1_327) = all_175_0_664, apply(all_0_7_7, all_84_2_328, all_84_1_327) = 0, yields:
% 36.66/9.30 | (498) all_175_0_664 = 0
% 36.66/9.30 |
% 36.66/9.30 | Combining equations (497,496) yields a new equation:
% 36.66/9.30 | (499) all_175_1_665 = 0
% 36.66/9.30 |
% 36.66/9.30 | Simplifying 499 yields:
% 36.66/9.30 | (500) all_175_1_665 = 0
% 36.66/9.30 |
% 36.66/9.30 +-Applying beta-rule and splitting (486), into two cases.
% 36.66/9.30 |-Branch one:
% 36.66/9.30 | (501) ~ (all_175_0_664 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Equations (498) can reduce 501 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (498) all_175_0_664 = 0
% 36.66/9.30 | (504) ~ (all_175_1_665 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Equations (500) can reduce 504 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (506) ~ (all_97_0_330 = all_84_0_326)
% 36.66/9.30 | (507) ? [v0] : ? [v1] : (apply(all_0_6_6, all_84_2_328, all_97_0_330) = v0 & apply(all_0_6_6, all_84_2_328, all_84_0_326) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.30 |
% 36.66/9.30 +-Applying beta-rule and splitting (297), into two cases.
% 36.66/9.30 |-Branch one:
% 36.66/9.30 | (304) all_97_0_330 = all_84_0_326
% 36.66/9.30 |
% 36.66/9.30 | Equations (304) can reduce 506 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (506) ~ (all_97_0_330 = all_84_0_326)
% 36.66/9.30 | (511) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_84_2_328, all_97_0_330) = v2 & member(all_84_0_326, all_0_3_3) = v1 & member(all_84_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 36.66/9.30 |
% 36.66/9.30 | Instantiating (511) with all_177_0_686, all_177_1_687, all_177_2_688 yields:
% 36.66/9.30 | (512) apply(all_0_6_6, all_84_2_328, all_97_0_330) = all_177_0_686 & member(all_84_0_326, all_0_3_3) = all_177_1_687 & member(all_84_2_328, all_0_4_4) = all_177_2_688 & ( ~ (all_177_0_686 = 0) | ~ (all_177_1_687 = 0) | ~ (all_177_2_688 = 0))
% 36.66/9.30 |
% 36.66/9.30 | Applying alpha-rule on (512) yields:
% 36.66/9.30 | (513) apply(all_0_6_6, all_84_2_328, all_97_0_330) = all_177_0_686
% 36.66/9.30 | (514) member(all_84_0_326, all_0_3_3) = all_177_1_687
% 36.66/9.30 | (515) member(all_84_2_328, all_0_4_4) = all_177_2_688
% 36.66/9.30 | (516) ~ (all_177_0_686 = 0) | ~ (all_177_1_687 = 0) | ~ (all_177_2_688 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Instantiating formula (75) with all_0_6_6, all_84_2_328, all_97_0_330, all_177_0_686, 0 and discharging atoms apply(all_0_6_6, all_84_2_328, all_97_0_330) = all_177_0_686, apply(all_0_6_6, all_84_2_328, all_97_0_330) = 0, yields:
% 36.66/9.30 | (517) all_177_0_686 = 0
% 36.66/9.30 |
% 36.66/9.30 | Instantiating formula (55) with all_84_0_326, all_0_3_3, all_177_1_687, 0 and discharging atoms member(all_84_0_326, all_0_3_3) = all_177_1_687, member(all_84_0_326, all_0_3_3) = 0, yields:
% 36.66/9.30 | (518) all_177_1_687 = 0
% 36.66/9.30 |
% 36.66/9.30 | Instantiating formula (55) with all_84_2_328, all_0_4_4, all_177_2_688, 0 and discharging atoms member(all_84_2_328, all_0_4_4) = all_177_2_688, member(all_84_2_328, all_0_4_4) = 0, yields:
% 36.66/9.30 | (519) all_177_2_688 = 0
% 36.66/9.30 |
% 36.66/9.30 +-Applying beta-rule and splitting (516), into two cases.
% 36.66/9.30 |-Branch one:
% 36.66/9.30 | (520) ~ (all_177_0_686 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Equations (517) can reduce 520 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (517) all_177_0_686 = 0
% 36.66/9.30 | (523) ~ (all_177_1_687 = 0) | ~ (all_177_2_688 = 0)
% 36.66/9.30 |
% 36.66/9.30 +-Applying beta-rule and splitting (523), into two cases.
% 36.66/9.30 |-Branch one:
% 36.66/9.30 | (524) ~ (all_177_1_687 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Equations (518) can reduce 524 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 |-Branch two:
% 36.66/9.30 | (518) all_177_1_687 = 0
% 36.66/9.30 | (527) ~ (all_177_2_688 = 0)
% 36.66/9.30 |
% 36.66/9.30 | Equations (519) can reduce 527 to:
% 36.66/9.30 | (201) $false
% 36.66/9.30 |
% 36.66/9.30 |-The branch is then unsatisfiable
% 36.66/9.30 % SZS output end Proof for theBenchmark
% 36.66/9.30
% 36.66/9.31 8707ms
%------------------------------------------------------------------------------