TSTP Solution File: SET721+4 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET721+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n014.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 00:21:37 EDT 2022
% Result : Theorem 20.24s 5.29s
% Output : Proof 27.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET721+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.11 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 10 01:00:20 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.54 ____ _
% 0.17/0.54 ___ / __ \_____(_)___ ________ __________
% 0.17/0.54 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.17/0.54 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.17/0.54 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.17/0.54
% 0.17/0.54 A Theorem Prover for First-Order Logic
% 0.52/0.54 (ePrincess v.1.0)
% 0.52/0.54
% 0.52/0.54 (c) Philipp Rümmer, 2009-2015
% 0.52/0.54 (c) Peter Backeman, 2014-2015
% 0.52/0.54 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.54 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.54 Bug reports to peter@backeman.se
% 0.52/0.54
% 0.52/0.54 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.54
% 0.52/0.54 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.57/0.58 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.70/0.91 Prover 0: Preprocessing ...
% 3.21/1.25 Prover 0: Warning: ignoring some quantifiers
% 3.31/1.29 Prover 0: Constructing countermodel ...
% 4.62/1.60 Prover 0: gave up
% 4.62/1.60 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.98/1.65 Prover 1: Preprocessing ...
% 5.92/1.88 Prover 1: Constructing countermodel ...
% 6.89/2.06 Prover 1: gave up
% 6.89/2.06 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 6.96/2.10 Prover 2: Preprocessing ...
% 8.17/2.41 Prover 2: Warning: ignoring some quantifiers
% 8.17/2.42 Prover 2: Constructing countermodel ...
% 15.89/4.23 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 16.08/4.29 Prover 3: Preprocessing ...
% 16.40/4.36 Prover 3: Warning: ignoring some quantifiers
% 16.40/4.36 Prover 3: Constructing countermodel ...
% 16.88/4.46 Prover 3: gave up
% 16.88/4.46 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 16.88/4.49 Prover 4: Preprocessing ...
% 17.88/4.72 Prover 4: Warning: ignoring some quantifiers
% 17.88/4.73 Prover 4: Constructing countermodel ...
% 20.24/5.29 Prover 4: proved (825ms)
% 20.24/5.29 Prover 2: stopped
% 20.24/5.29
% 20.24/5.29 No countermodel exists, formula is valid
% 20.24/5.29 % SZS status Theorem for theBenchmark
% 20.24/5.29
% 20.24/5.29 Generating proof ... Warning: ignoring some quantifiers
% 25.78/6.58 found it (size 242)
% 25.78/6.58
% 25.78/6.58 % SZS output start Proof for theBenchmark
% 25.78/6.58 Assumed formulas after preprocessing and simplification:
% 25.78/6.58 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = 0) & injective(v5, v2, v4) = 0 & injective(v0, v2, v3) = v6 & compose_function(v1, v0, v2, v3, v4) = v5 & maps(v1, v3, v4) = 0 & maps(v0, v2, v3) = 0 & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v13, v15) = v16) | ~ (apply(v9, v12, v14) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v7, v14, v15) = v22 & apply(v7, v12, v13) = v21 & member(v15, v10) = v20 & member(v14, v8) = v19 & member(v13, v10) = v18 & member(v12, v8) = v17 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v13, v15) = 0) | ~ (apply(v9, v12, v14) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v7, v14, v15) = v22 & apply(v7, v12, v13) = v21 & member(v15, v10) = v20 & member(v14, v8) = v19 & member(v13, v10) = v18 & member(v12, v8) = v17 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v15, v13) = v16) | ~ (apply(v9, v12, v14) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v7, v14, v15) = v22 & apply(v7, v12, v13) = v21 & member(v15, v10) = v20 & member(v14, v8) = v19 & member(v13, v10) = v18 & member(v12, v8) = v17 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v15, v13) = v16) | ~ (apply(v7, v14, v15) = 0) | ~ (member(v12, v8) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v9, v12, v14) = v20 & apply(v7, v12, v13) = v21 & member(v15, v10) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v15, v13) = v16) | ~ (apply(v7, v12, v13) = 0) | ~ (member(v14, v8) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v9, v12, v14) = v20 & apply(v7, v14, v15) = v21 & member(v15, v10) = v19 & member(v13, v10) = v18 & member(v12, v8) = v17 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v15, v13) = v16) | ~ (member(v14, v8) = 0) | ~ (member(v12, v8) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v9, v12, v14) = v19 & apply(v7, v14, v15) = v21 & apply(v7, v12, v13) = v20 & member(v15, v10) = v18 & member(v13, v10) = v17 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v13, v15) = v16) | ~ (apply(v9, v12, v14) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : (apply(v7, v14, v15) = v22 & apply(v7, v12, v13) = v21 & member(v15, v10) = v20 & member(v14, v8) = v19 & member(v13, v10) = v18 & member(v12, v8) = v17 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v13, v15) = v16) | ~ (apply(v7, v14, v15) = 0) | ~ (member(v12, v8) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v9, v12, v14) = v20 & apply(v7, v12, v13) = v21 & member(v15, v10) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v13, v15) = v16) | ~ (apply(v7, v12, v13) = 0) | ~ (member(v14, v8) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v9, v12, v14) = v20 & apply(v7, v14, v15) = v21 & member(v15, v10) = v19 & member(v13, v10) = v18 & member(v12, v8) = v17 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v13, v15) = v16) | ~ (member(v14, v8) = 0) | ~ (member(v12, v8) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v9, v12, v14) = v19 & apply(v7, v14, v15) = v21 & apply(v7, v12, v13) = v20 & member(v15, v10) = v18 & member(v13, v10) = v17 & ( ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (compose_function(v7, v8, v9, v10, v11) = v14) | ~ (apply(v14, v12, v13) = v15) | ~ (apply(v8, v12, v16) = 0) | ? [v17] : ? [v18] : ((apply(v7, v16, v13) = v18 & member(v16, v10) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))) | (member(v13, v11) = v18 & member(v12, v9) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (compose_function(v7, v8, v9, v10, v11) = v14) | ~ (apply(v14, v12, v13) = v15) | ~ (apply(v7, v16, v13) = 0) | ? [v17] : ? [v18] : ((apply(v8, v12, v16) = v18 & member(v16, v10) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))) | (member(v13, v11) = v18 & member(v12, v9) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (compose_function(v7, v8, v9, v10, v11) = v14) | ~ (apply(v14, v12, v13) = v15) | ~ (member(v16, v10) = 0) | ? [v17] : ? [v18] : ((apply(v8, v12, v16) = v17 & apply(v7, v16, v13) = v18 & ( ~ (v18 = 0) | ~ (v17 = 0))) | (member(v13, v11) = v18 & member(v12, v9) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (compose_predicate(v7, v8, v9, v10, v11, v12) = 0) | ~ (apply(v9, v13, v16) = 0) | ~ (apply(v7, v13, v14) = v15) | ? [v17] : ? [v18] : ((apply(v8, v16, v14) = v18 & member(v16, v11) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))) | (member(v14, v12) = v18 & member(v13, v10) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (compose_predicate(v7, v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v16, v14) = 0) | ~ (apply(v7, v13, v14) = v15) | ? [v17] : ? [v18] : ((apply(v9, v13, v16) = v18 & member(v16, v11) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))) | (member(v14, v12) = v18 & member(v13, v10) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (compose_predicate(v7, v8, v9, v10, v11, v12) = 0) | ~ (apply(v7, v13, v14) = v15) | ~ (member(v16, v11) = 0) | ? [v17] : ? [v18] : ((apply(v9, v13, v16) = v17 & apply(v8, v16, v14) = v18 & ( ~ (v18 = 0) | ~ (v17 = 0))) | (member(v14, v12) = v18 & member(v13, v10) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v13, v15) = v16) | ~ (apply(v7, v14, v15) = 0) | ~ (member(v12, v8) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v9, v12, v14) = v21 & apply(v7, v12, v13) = v20 & member(v15, v10) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | (( ~ (v21 = 0) | v16 = 0) & ( ~ (v16 = 0) | v21 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v13, v15) = v16) | ~ (apply(v7, v12, v13) = 0) | ~ (member(v14, v8) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v9, v12, v14) = v21 & apply(v7, v14, v15) = v20 & member(v15, v10) = v19 & member(v13, v10) = v18 & member(v12, v8) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | (( ~ (v21 = 0) | v16 = 0) & ( ~ (v16 = 0) | v21 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v11, v13, v15) = v16) | ~ (member(v14, v8) = 0) | ~ (member(v12, v8) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v9, v12, v14) = v21 & apply(v7, v14, v15) = v20 & apply(v7, v12, v13) = v19 & member(v15, v10) = v18 & member(v13, v10) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | (( ~ (v21 = 0) | v16 = 0) & ( ~ (v16 = 0) | v21 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = v16) | ~ (apply(v7, v14, v15) = 0) | ~ (member(v13, v10) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v11, v13, v15) = v21 & apply(v7, v12, v13) = v20 & member(v15, v10) = v19 & member(v14, v8) = v18 & member(v12, v8) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | (( ~ (v21 = 0) | v16 = 0) & ( ~ (v16 = 0) | v21 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = v16) | ~ (apply(v7, v12, v13) = 0) | ~ (member(v15, v10) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v11, v13, v15) = v21 & apply(v7, v14, v15) = v20 & member(v14, v8) = v19 & member(v13, v10) = v18 & member(v12, v8) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | (( ~ (v21 = 0) | v16 = 0) & ( ~ (v16 = 0) | v21 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = v16) | ~ (member(v15, v10) = 0) | ~ (member(v13, v10) = 0) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v11, v13, v15) = v21 & apply(v7, v14, v15) = v20 & apply(v7, v12, v13) = v19 & member(v14, v8) = v18 & member(v12, v8) = v17 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | (( ~ (v21 = 0) | v16 = 0) & ( ~ (v16 = 0) | v21 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v14, v15) = 0) | ~ (apply(v7, v12, v13) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v11, v13, v15) = v21 & apply(v9, v12, v14) = v20 & member(v15, v10) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | (( ~ (v21 = 0) | v20 = 0) & ( ~ (v20 = 0) | v21 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v14, v15) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v8) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v13, v15) = v20 & apply(v9, v12, v14) = v19 & apply(v7, v12, v13) = v18 & member(v15, v10) = v17 & member(v14, v8) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | (( ~ (v20 = 0) | v19 = 0) & ( ~ (v19 = 0) | v20 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v12, v13) = 0) | ~ (member(v15, v10) = 0) | ~ (member(v14, v8) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v13, v15) = v20 & apply(v9, v12, v14) = v19 & apply(v7, v14, v15) = v18 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | (( ~ (v20 = 0) | v19 = 0) & ( ~ (v19 = 0) | v20 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | ~ (member(v15, v10) = 0) | ~ (member(v14, v8) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v8) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (apply(v11, v13, v15) = v19 & apply(v9, v12, v14) = v18 & apply(v7, v14, v15) = v17 & apply(v7, v12, v13) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | (( ~ (v19 = 0) | v18 = 0) & ( ~ (v18 = 0) | v19 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (apply(v7, v14, v15) = 0) | ~ (member(v13, v10) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v15, v13) = v20 & apply(v7, v12, v13) = v19 & member(v15, v10) = v18 & member(v14, v8) = v17 & member(v12, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (apply(v7, v12, v13) = 0) | ~ (member(v15, v10) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v15, v13) = v20 & apply(v7, v14, v15) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (member(v15, v10) = 0) | ~ (member(v13, v10) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v15, v13) = v20 & apply(v7, v14, v15) = v19 & apply(v7, v12, v13) = v18 & member(v14, v8) = v17 & member(v12, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v14, v15) = 0) | ~ (apply(v7, v12, v13) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v11, v15, v13) = v21 & apply(v9, v12, v14) = v20 & member(v15, v10) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v21 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v14, v15) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v8) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v15, v13) = v20 & apply(v9, v12, v14) = v18 & apply(v7, v12, v13) = v19 & member(v15, v10) = v17 & member(v14, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v12, v13) = 0) | ~ (member(v15, v10) = 0) | ~ (member(v14, v8) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v15, v13) = v20 & apply(v9, v12, v14) = v18 & apply(v7, v14, v15) = v19 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (decreasing(v7, v8, v9, v10, v11) = 0) | ~ (member(v15, v10) = 0) | ~ (member(v14, v8) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v8) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (apply(v11, v15, v13) = v19 & apply(v9, v12, v14) = v16 & apply(v7, v14, v15) = v18 & apply(v7, v12, v13) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v19 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (apply(v7, v14, v15) = 0) | ~ (member(v13, v10) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v13, v15) = v20 & apply(v7, v12, v13) = v19 & member(v15, v10) = v18 & member(v14, v8) = v17 & member(v12, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (apply(v7, v12, v13) = 0) | ~ (member(v15, v10) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v13, v15) = v20 & apply(v7, v14, v15) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (member(v15, v10) = 0) | ~ (member(v13, v10) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v13, v15) = v20 & apply(v7, v14, v15) = v19 & apply(v7, v12, v13) = v18 & member(v14, v8) = v17 & member(v12, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v14, v15) = 0) | ~ (apply(v7, v12, v13) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (apply(v11, v13, v15) = v21 & apply(v9, v12, v14) = v20 & member(v15, v10) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v21 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v14, v15) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v8) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v13, v15) = v20 & apply(v9, v12, v14) = v18 & apply(v7, v12, v13) = v19 & member(v15, v10) = v17 & member(v14, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v12, v13) = 0) | ~ (member(v15, v10) = 0) | ~ (member(v14, v8) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v11, v13, v15) = v20 & apply(v9, v12, v14) = v18 & apply(v7, v14, v15) = v19 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v20 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (increasing(v7, v8, v9, v10, v11) = 0) | ~ (member(v15, v10) = 0) | ~ (member(v14, v8) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v8) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (apply(v11, v13, v15) = v19 & apply(v9, v12, v14) = v16 & apply(v7, v14, v15) = v18 & apply(v7, v12, v13) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v19 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v8 = v7 | ~ (compose_predicate(v14, v13, v12, v11, v10, v9) = v8) | ~ (compose_predicate(v14, v13, v12, v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (compose_function(v7, v8, v9, v10, v11) = v14) | ~ (apply(v14, v12, v13) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v18 = 0 & v17 = 0 & v16 = 0 & apply(v8, v12, v15) = 0 & apply(v7, v15, v13) = 0 & member(v15, v10) = 0) | (member(v13, v11) = v16 & member(v12, v9) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (compose_predicate(v7, v8, v9, v10, v11, v12) = 0) | ~ (apply(v7, v13, v14) = 0) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v18 = 0 & v17 = 0 & v16 = 0 & apply(v9, v13, v15) = 0 & apply(v8, v15, v14) = 0 & member(v15, v11) = 0) | (member(v14, v12) = v16 & member(v13, v10) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (equal_maps(v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (apply(v7, v11, v12) = 0) | ? [v14] : ? [v15] : ? [v16] : (member(v13, v10) = v16 & member(v12, v10) = v15 & member(v11, v9) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (equal_maps(v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (member(v12, v10) = 0) | ? [v14] : ? [v15] : ? [v16] : (apply(v7, v11, v12) = v16 & member(v13, v10) = v15 & member(v11, v9) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (equal_maps(v7, v8, v9, v10) = 0) | ~ (apply(v7, v11, v12) = 0) | ~ (member(v13, v10) = 0) | ? [v14] : ? [v15] : ? [v16] : (apply(v8, v11, v13) = v16 & member(v12, v10) = v15 & member(v11, v9) = v14 & ( ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (equal_maps(v7, v8, v9, v10) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v10) = 0) | ~ (member(v11, v9) = 0) | ? [v14] : ? [v15] : (apply(v8, v11, v13) = v15 & apply(v7, v11, v12) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (compose_predicate(v7, v8, v9, v10, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (apply(v7, v14, v15) = v16 & member(v15, v12) = 0 & member(v14, v10) = 0 & ( ~ (v16 = 0) | ( ! [v21] : ( ~ (apply(v9, v14, v21) = 0) | ? [v22] : ? [v23] : (apply(v8, v21, v15) = v23 & member(v21, v11) = v22 & ( ~ (v23 = 0) | ~ (v22 = 0)))) & ! [v21] : ( ~ (apply(v8, v21, v15) = 0) | ? [v22] : ? [v23] : (apply(v9, v14, v21) = v23 & member(v21, v11) = v22 & ( ~ (v23 = 0) | ~ (v22 = 0)))) & ! [v21] : ( ~ (member(v21, v11) = 0) | ? [v22] : ? [v23] : (apply(v9, v14, v21) = v22 & apply(v8, v21, v15) = v23 & ( ~ (v23 = 0) | ~ (v22 = 0)))))) & (v16 = 0 | (v20 = 0 & v19 = 0 & v18 = 0 & apply(v9, v14, v17) = 0 & apply(v8, v17, v15) = 0 & member(v17, v11) = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (inverse_image3(v7, v8, v9) = v11) | ~ (apply(v7, v10, v13) = 0) | ~ (member(v10, v11) = v12) | ? [v14] : (( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v10, v9) = v14))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (inverse_image3(v7, v8, v9) = v11) | ~ (member(v13, v8) = 0) | ~ (member(v10, v11) = v12) | ? [v14] : (( ~ (v14 = 0) & apply(v7, v10, v13) = v14) | ( ~ (v14 = 0) & member(v10, v9) = v14))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (image3(v7, v8, v9) = v11) | ~ (apply(v7, v13, v10) = 0) | ~ (member(v10, v11) = v12) | ? [v14] : (( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v10, v9) = v14))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (image3(v7, v8, v9) = v11) | ~ (member(v13, v8) = 0) | ~ (member(v10, v11) = v12) | ? [v14] : (( ~ (v14 = 0) & apply(v7, v13, v10) = v14) | ( ~ (v14 = 0) & member(v10, v9) = v14))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v8 = v7 | ~ (isomorphism(v13, v12, v11, v10, v9) = v8) | ~ (isomorphism(v13, v12, v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v8 = v7 | ~ (decreasing(v13, v12, v11, v10, v9) = v8) | ~ (decreasing(v13, v12, v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v8 = v7 | ~ (increasing(v13, v12, v11, v10, v9) = v8) | ~ (increasing(v13, v12, v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v8 = v7 | ~ (compose_function(v13, v12, v11, v10, v9) = v8) | ~ (compose_function(v13, v12, v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (inverse_function(v7, v8, v9) = v12) | ~ (apply(v12, v11, v10) = v13) | ? [v14] : ? [v15] : ? [v16] : (apply(v7, v10, v11) = v16 & member(v11, v9) = v15 & member(v10, v8) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | (( ~ (v16 = 0) | v13 = 0) & ( ~ (v13 = 0) | v16 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (inverse_predicate(v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (apply(v7, v12, v11) = v16 & member(v12, v10) = v15 & member(v11, v9) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | (( ~ (v16 = 0) | v13 = 0) & ( ~ (v13 = 0) | v16 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (inverse_predicate(v7, v8, v9, v10) = 0) | ~ (apply(v7, v12, v11) = v13) | ? [v14] : ? [v15] : ? [v16] : (apply(v8, v11, v12) = v16 & member(v12, v10) = v15 & member(v11, v9) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | (( ~ (v16 = 0) | v13 = 0) & ( ~ (v13 = 0) | v16 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (maps(v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (apply(v7, v10, v11) = 0) | ? [v13] : ? [v14] : ? [v15] : (member(v12, v9) = v15 & member(v11, v9) = v14 & member(v10, v8) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (maps(v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (member(v11, v9) = 0) | ? [v13] : ? [v14] : ? [v15] : (apply(v7, v10, v11) = v15 & member(v12, v9) = v14 & member(v10, v8) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (maps(v7, v8, v9) = 0) | ~ (apply(v7, v10, v11) = 0) | ~ (member(v12, v9) = 0) | ? [v13] : ? [v14] : ? [v15] : (apply(v7, v10, v12) = v15 & member(v11, v9) = v14 & member(v10, v8) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (maps(v7, v8, v9) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v9) = 0) | ~ (member(v10, v8) = 0) | ? [v13] : ? [v14] : (apply(v7, v10, v12) = v14 & apply(v7, v10, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (isomorphism(v7, v8, v9, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & apply(v11, v14, v16) = v24 & apply(v9, v13, v15) = v23 & apply(v7, v15, v16) = 0 & apply(v7, v13, v14) = 0 & member(v16, v10) = 0 & member(v15, v8) = 0 & member(v14, v10) = 0 & member(v13, v8) = 0 & ( ~ (v24 = 0) | ~ (v23 = 0)) & (v24 = 0 | v23 = 0)) | (one_to_one(v7, v8, v10) = v14 & maps(v7, v8, v10) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (decreasing(v7, v8, v9, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ( ~ (v17 = 0) & apply(v11, v16, v14) = v17 & apply(v9, v13, v15) = 0 & apply(v7, v15, v16) = 0 & apply(v7, v13, v14) = 0 & member(v16, v10) = 0 & member(v15, v8) = 0 & member(v14, v10) = 0 & member(v13, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (increasing(v7, v8, v9, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ( ~ (v17 = 0) & apply(v11, v14, v16) = v17 & apply(v9, v13, v15) = 0 & apply(v7, v15, v16) = 0 & apply(v7, v13, v14) = 0 & member(v16, v10) = 0 & member(v15, v8) = 0 & member(v14, v10) = 0 & member(v13, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (injective(v7, v8, v9) = 0) | ~ (apply(v7, v11, v12) = 0) | ~ (apply(v7, v10, v12) = 0) | ? [v13] : ? [v14] : ? [v15] : (member(v12, v9) = v15 & member(v11, v8) = v14 & member(v10, v8) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (injective(v7, v8, v9) = 0) | ~ (apply(v7, v11, v12) = 0) | ~ (member(v10, v8) = 0) | ? [v13] : ? [v14] : ? [v15] : (apply(v7, v10, v12) = v15 & member(v12, v9) = v14 & member(v11, v8) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (injective(v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (member(v11, v8) = 0) | ? [v13] : ? [v14] : ? [v15] : (apply(v7, v11, v12) = v15 & member(v12, v9) = v14 & member(v10, v8) = v13 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (injective(v7, v8, v9) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v8) = 0) | ~ (member(v10, v8) = 0) | ? [v13] : ? [v14] : (apply(v7, v11, v12) = v14 & apply(v7, v10, v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (inverse_image2(v7, v8) = v10) | ~ (apply(v7, v9, v12) = 0) | ~ (member(v9, v10) = v11) | ? [v13] : ( ~ (v13 = 0) & member(v12, v8) = v13)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (inverse_image2(v7, v8) = v10) | ~ (member(v12, v8) = 0) | ~ (member(v9, v10) = v11) | ? [v13] : ( ~ (v13 = 0) & apply(v7, v9, v12) = v13)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (image2(v7, v8) = v10) | ~ (apply(v7, v12, v9) = 0) | ~ (member(v9, v10) = v11) | ? [v13] : ( ~ (v13 = 0) & member(v12, v8) = v13)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (image2(v7, v8) = v10) | ~ (member(v12, v8) = 0) | ~ (member(v9, v10) = v11) | ? [v13] : ( ~ (v13 = 0) & apply(v7, v12, v9) = v13)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v8 = v7 | ~ (inverse_predicate(v12, v11, v10, v9) = v8) | ~ (inverse_predicate(v12, v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v8 = v7 | ~ (equal_maps(v12, v11, v10, v9) = v8) | ~ (equal_maps(v12, v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (inverse_predicate(v7, v8, v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (apply(v8, v12, v13) = v14 & apply(v7, v13, v12) = v15 & member(v13, v10) = 0 & member(v12, v9) = 0 & ( ~ (v15 = 0) | ~ (v14 = 0)) & (v15 = 0 | v14 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (equal_maps(v7, v8, v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ( ~ (v14 = v13) & apply(v8, v12, v14) = 0 & apply(v7, v12, v13) = 0 & member(v14, v10) = 0 & member(v13, v10) = 0 & member(v12, v9) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (product(v8) = v9) | ~ (member(v7, v10) = v11) | ~ (member(v7, v9) = 0) | ? [v12] : ( ~ (v12 = 0) & member(v10, v8) = v12)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (difference(v9, v8) = v10) | ~ (member(v7, v10) = v11) | ? [v12] : ? [v13] : (member(v7, v9) = v12 & member(v7, v8) = v13 & ( ~ (v12 = 0) | v13 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (union(v8, v9) = v10) | ~ (member(v7, v10) = v11) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & ~ (v12 = 0) & member(v7, v9) = v13 & member(v7, v8) = v12)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (intersection(v8, v9) = v10) | ~ (member(v7, v10) = v11) | ? [v12] : ? [v13] : (member(v7, v9) = v13 & member(v7, v8) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (sum(v8) = v9) | ~ (member(v11, v8) = 0) | ~ (member(v7, v9) = v10) | ? [v12] : ( ~ (v12 = 0) & member(v7, v11) = v12)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (sum(v8) = v9) | ~ (member(v7, v11) = 0) | ~ (member(v7, v9) = v10) | ? [v12] : ( ~ (v12 = 0) & member(v11, v8) = v12)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (inverse_image3(v11, v10, v9) = v8) | ~ (inverse_image3(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (image3(v11, v10, v9) = v8) | ~ (image3(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (inverse_function(v11, v10, v9) = v8) | ~ (inverse_function(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (one_to_one(v11, v10, v9) = v8) | ~ (one_to_one(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (surjective(v11, v10, v9) = v8) | ~ (surjective(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (injective(v11, v10, v9) = v8) | ~ (injective(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (maps(v11, v10, v9) = v8) | ~ (maps(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v8 = v7 | ~ (apply(v11, v10, v9) = v8) | ~ (apply(v11, v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (isomorphism(v7, v8, v9, v10, v11) = 0) | (one_to_one(v7, v8, v10) = 0 & maps(v7, v8, v10) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (inverse_image3(v7, v8, v9) = v11) | ~ (member(v10, v11) = 0) | member(v10, v9) = 0) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (inverse_image3(v7, v8, v9) = v11) | ~ (member(v10, v11) = 0) | ? [v12] : (apply(v7, v10, v12) = 0 & member(v12, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (image3(v7, v8, v9) = v11) | ~ (member(v10, v11) = 0) | member(v10, v9) = 0) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (image3(v7, v8, v9) = v11) | ~ (member(v10, v11) = 0) | ? [v12] : (apply(v7, v12, v10) = 0 & member(v12, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (one_to_one(v7, v8, v9) = v10) | ? [v11] : ? [v12] : (surjective(v7, v8, v9) = v12 & injective(v7, v8, v9) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (surjective(v7, v8, v9) = v10) | ? [v11] : (member(v11, v9) = 0 & ! [v12] : ( ~ (apply(v7, v12, v11) = 0) | ? [v13] : ( ~ (v13 = 0) & member(v12, v8) = v13)) & ! [v12] : ( ~ (member(v12, v8) = 0) | ? [v13] : ( ~ (v13 = 0) & apply(v7, v12, v11) = v13)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (injective(v7, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ( ~ (v12 = v11) & apply(v7, v12, v13) = 0 & apply(v7, v11, v13) = 0 & member(v13, v9) = 0 & member(v12, v8) = 0 & member(v11, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (identity(v7, v8) = 0) | ~ (apply(v7, v9, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & member(v9, v8) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (maps(v7, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v18 = 0 & v17 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & ~ (v13 = v12) & apply(v7, v11, v13) = 0 & apply(v7, v11, v12) = 0 & member(v13, v9) = 0 & member(v12, v9) = 0 & member(v11, v8) = 0) | (v12 = 0 & member(v11, v8) = 0 & ! [v19] : ( ~ (apply(v7, v11, v19) = 0) | ? [v20] : ( ~ (v20 = 0) & member(v19, v9) = v20)) & ! [v19] : ( ~ (member(v19, v9) = 0) | ? [v20] : ( ~ (v20 = 0) & apply(v7, v11, v19) = v20))))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (product(v8) = v9) | ~ (member(v7, v9) = v10) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & member(v11, v8) = 0 & member(v7, v11) = v12)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (unordered_pair(v8, v7) = v9) | ~ (member(v7, v9) = v10)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (unordered_pair(v7, v8) = v9) | ~ (member(v7, v9) = v10)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (power_set(v8) = v9) | ~ (member(v7, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & subset(v7, v8) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (subset(v7, v8) = 0) | ~ (member(v9, v8) = v10) | ? [v11] : ( ~ (v11 = 0) & member(v9, v7) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = v7 | v8 = v7 | ~ (unordered_pair(v8, v9) = v10) | ~ (member(v7, v10) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (inverse_image2(v10, v9) = v8) | ~ (inverse_image2(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (image2(v10, v9) = v8) | ~ (image2(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (identity(v10, v9) = v8) | ~ (identity(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (unordered_pair(v10, v9) = v8) | ~ (unordered_pair(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (difference(v10, v9) = v8) | ~ (difference(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (union(v10, v9) = v8) | ~ (union(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (intersection(v10, v9) = v8) | ~ (intersection(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (equal_set(v10, v9) = v8) | ~ (equal_set(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (subset(v10, v9) = v8) | ~ (subset(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (member(v10, v9) = v8) | ~ (member(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (inverse_image2(v7, v8) = v10) | ~ (member(v9, v10) = 0) | ? [v11] : (apply(v7, v9, v11) = 0 & member(v11, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (image2(v7, v8) = v10) | ~ (member(v9, v10) = 0) | ? [v11] : (apply(v7, v11, v9) = 0 & member(v11, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (surjective(v7, v8, v9) = v10) | ? [v11] : ? [v12] : (one_to_one(v7, v8, v9) = v11 & injective(v7, v8, v9) = v12 & ( ~ (v11 = 0) | (v12 = 0 & v10 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (surjective(v7, v8, v9) = 0) | ~ (member(v10, v9) = 0) | ? [v11] : (apply(v7, v11, v10) = 0 & member(v11, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (injective(v7, v8, v9) = v10) | ? [v11] : ? [v12] : (one_to_one(v7, v8, v9) = v11 & surjective(v7, v8, v9) = v12 & ( ~ (v11 = 0) | (v12 = 0 & v10 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (maps(v7, v8, v9) = 0) | ~ (member(v10, v8) = 0) | ? [v11] : (apply(v7, v10, v11) = 0 & member(v11, v9) = 0)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (product(v8) = v9) | ~ (member(v10, v8) = 0) | ~ (member(v7, v9) = 0) | member(v7, v10) = 0) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (difference(v9, v8) = v10) | ~ (member(v7, v10) = 0) | ? [v11] : ( ~ (v11 = 0) & member(v7, v9) = 0 & member(v7, v8) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (union(v8, v9) = v10) | ~ (member(v7, v10) = 0) | ? [v11] : ? [v12] : (member(v7, v9) = v12 & member(v7, v8) = v11 & (v12 = 0 | v11 = 0))) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (intersection(v8, v9) = v10) | ~ (member(v7, v10) = 0) | (member(v7, v9) = 0 & member(v7, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (identity(v7, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & apply(v7, v10, v10) = v11 & member(v10, v8) = 0)) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (singleton(v7) = v8) | ~ (member(v7, v8) = v9)) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (equal_set(v7, v8) = v9) | ? [v10] : ? [v11] : (subset(v8, v7) = v11 & subset(v7, v8) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (subset(v7, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & power_set(v8) = v10 & member(v7, v10) = v11)) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (subset(v7, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & member(v10, v8) = v11 & member(v10, v7) = 0)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (product(v9) = v8) | ~ (product(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (sum(v9) = v8) | ~ (sum(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (singleton(v9) = v8) | ~ (singleton(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (singleton(v8) = v9) | ~ (member(v7, v9) = 0)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (power_set(v9) = v8) | ~ (power_set(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (one_to_one(v7, v8, v9) = 0) | (surjective(v7, v8, v9) = 0 & injective(v7, v8, v9) = 0)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (surjective(v7, v8, v9) = 0) | ? [v10] : ? [v11] : (one_to_one(v7, v8, v9) = v11 & injective(v7, v8, v9) = v10 & ( ~ (v10 = 0) | v11 = 0))) & ! [v7] : ! [v8] : ! [v9] : ( ~ (injective(v7, v8, v9) = 0) | ? [v10] : ? [v11] : (one_to_one(v7, v8, v9) = v11 & surjective(v7, v8, v9) = v10 & ( ~ (v10 = 0) | v11 = 0))) & ! [v7] : ! [v8] : ! [v9] : ( ~ (identity(v7, v8) = 0) | ~ (member(v9, v8) = 0) | apply(v7, v9, v9) = 0) & ! [v7] : ! [v8] : ! [v9] : ( ~ (sum(v8) = v9) | ~ (member(v7, v9) = 0) | ? [v10] : (member(v10, v8) = 0 & member(v7, v10) = 0)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (power_set(v8) = v9) | ~ (member(v7, v9) = 0) | subset(v7, v8) = 0) & ! [v7] : ! [v8] : ! [v9] : ( ~ (subset(v8, v7) = v9) | ? [v10] : ? [v11] : (equal_set(v7, v8) = v10 & subset(v7, v8) = v11 & ( ~ (v10 = 0) | (v11 = 0 & v9 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ( ~ (subset(v7, v8) = v9) | ? [v10] : ? [v11] : (equal_set(v7, v8) = v10 & subset(v8, v7) = v11 & ( ~ (v10 = 0) | (v11 = 0 & v9 = 0)))) & ! [v7] : ! [v8] : ! [v9] : ( ~ (subset(v7, v8) = 0) | ~ (member(v9, v7) = 0) | member(v9, v8) = 0) & ! [v7] : ! [v8] : ( ~ (equal_set(v7, v8) = 0) | (subset(v8, v7) = 0 & subset(v7, v8) = 0)) & ! [v7] : ! [v8] : ( ~ (subset(v8, v7) = 0) | ? [v9] : ? [v10] : (equal_set(v7, v8) = v10 & subset(v7, v8) = v9 & ( ~ (v9 = 0) | v10 = 0))) & ! [v7] : ! [v8] : ( ~ (subset(v7, v8) = 0) | ? [v9] : ? [v10] : (equal_set(v7, v8) = v10 & subset(v8, v7) = v9 & ( ~ (v9 = 0) | v10 = 0))) & ! [v7] : ! [v8] : ( ~ (subset(v7, v8) = 0) | ? [v9] : (power_set(v8) = v9 & member(v7, v9) = 0)) & ! [v7] : ~ (member(v7, empty_set) = 0) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & ~ (v23 = 0) & apply(v11, v15, v13) = v23 & apply(v9, v12, v14) = 0 & apply(v7, v14, v15) = 0 & apply(v7, v12, v13) = 0 & member(v15, v10) = 0 & member(v14, v8) = 0 & member(v13, v10) = 0 & member(v12, v8) = 0) | (v12 = 0 & decreasing(v7, v8, v9, v10, v11) = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & ~ (v23 = 0) & apply(v11, v13, v15) = v23 & apply(v9, v12, v14) = 0 & apply(v7, v14, v15) = 0 & apply(v7, v12, v13) = 0 & member(v15, v10) = 0 & member(v14, v8) = 0 & member(v13, v10) = 0 & member(v12, v8) = 0) | (v12 = 0 & increasing(v7, v8, v9, v10, v11) = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (( ~ (v16 = 0) & decreasing(v7, v8, v9, v10, v11) = v16) | (apply(v11, v15, v13) = v23 & apply(v9, v12, v14) = v20 & apply(v7, v14, v15) = v22 & apply(v7, v12, v13) = v21 & member(v15, v10) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v23 = 0))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (( ~ (v16 = 0) & increasing(v7, v8, v9, v10, v11) = v16) | (apply(v11, v13, v15) = v23 & apply(v9, v12, v14) = v20 & apply(v7, v14, v15) = v22 & apply(v7, v12, v13) = v21 & member(v15, v10) = v19 & member(v14, v8) = v18 & member(v13, v10) = v17 & member(v12, v8) = v16 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | v23 = 0))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v16 = 0 & v15 = 0 & apply(v7, v13, v14) = v17 & member(v14, v12) = 0 & member(v13, v10) = 0 & ( ~ (v17 = 0) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (apply(v9, v13, v22) = v24 & apply(v8, v22, v14) = v25 & member(v22, v11) = v23 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0)))) & (v17 = 0 | (v21 = 0 & v20 = 0 & v19 = 0 & apply(v9, v13, v18) = 0 & apply(v8, v18, v14) = 0 & member(v18, v11) = 0))) | (v13 = 0 & compose_predicate(v7, v8, v9, v10, v11, v12) = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (( ~ (v15 = 0) & compose_predicate(v7, v8, v9, v10, v11, v12) = v15) | (apply(v7, v13, v14) = v17 & member(v14, v12) = v16 & member(v13, v10) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0) | (( ~ (v17 = 0) | (v21 = 0 & v20 = 0 & v19 = 0 & apply(v9, v13, v18) = 0 & apply(v8, v18, v14) = 0 & member(v18, v11) = 0)) & (v17 = 0 | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (apply(v9, v13, v22) = v24 & apply(v8, v22, v14) = v25 & member(v22, v11) = v23 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0)))))))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (compose_function(v7, v8, v9, v10, v11) = v16 & apply(v16, v12, v13) = v17 & member(v13, v11) = v15 & member(v12, v9) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | (( ~ (v17 = 0) | (v21 = 0 & v20 = 0 & v19 = 0 & apply(v8, v12, v18) = 0 & apply(v7, v18, v13) = 0 & member(v18, v10) = 0)) & (v17 = 0 | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (apply(v8, v12, v22) = v24 & apply(v7, v22, v13) = v25 & member(v22, v10) = v23 & ( ~ (v25 = 0) | ~ (v24 = 0) | ~ (v23 = 0))))))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ((v18 = 0 & v17 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & ~ (v13 = v12) & apply(v8, v11, v13) = 0 & apply(v7, v11, v12) = 0 & member(v13, v10) = 0 & member(v12, v10) = 0 & member(v11, v9) = 0) | (v11 = 0 & equal_maps(v7, v8, v9, v10) = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v14 = 0 & v13 = 0 & apply(v8, v11, v12) = v15 & apply(v7, v12, v11) = v16 & member(v12, v10) = 0 & member(v11, v9) = 0 & ( ~ (v16 = 0) | ~ (v15 = 0)) & (v16 = 0 | v15 = 0)) | (v11 = 0 & inverse_predicate(v7, v8, v9, v10) = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (( ~ (v13 = 0) & inverse_predicate(v7, v8, v9, v10) = v13) | (apply(v8, v11, v12) = v15 & apply(v7, v12, v11) = v16 & member(v12, v10) = v14 & member(v11, v9) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0) | (( ~ (v16 = 0) | v15 = 0) & ( ~ (v15 = 0) | v16 = 0))))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (inverse_image3(v7, v8, v9) = v11 & member(v10, v11) = v12 & member(v10, v9) = v13 & ( ~ (v12 = 0) | (v16 = 0 & v15 = 0 & v13 = 0 & apply(v7, v10, v14) = 0 & member(v14, v8) = 0))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (image3(v7, v8, v9) = v11 & member(v10, v11) = v12 & member(v10, v9) = v13 & ( ~ (v12 = 0) | (v16 = 0 & v15 = 0 & v13 = 0 & apply(v7, v14, v10) = 0 & member(v14, v8) = 0))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : (inverse_function(v7, v8, v9) = v15 & apply(v15, v11, v10) = v16 & apply(v7, v10, v11) = v14 & member(v11, v9) = v13 & member(v10, v8) = v12 & ( ~ (v13 = 0) | ~ (v12 = 0) | (( ~ (v16 = 0) | v14 = 0) & ( ~ (v14 = 0) | v16 = 0)))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (isomorphism(v7, v8, v9, v10, v11) = v12 & one_to_one(v7, v8, v10) = v14 & maps(v7, v8, v10) = v13 & ( ~ (v12 = 0) | (v14 = 0 & v13 = 0 & ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : (apply(v11, v16, v18) = v26 & apply(v9, v15, v17) = v25 & apply(v7, v17, v18) = v24 & apply(v7, v15, v16) = v23 & member(v18, v10) = v22 & member(v17, v8) = v21 & member(v16, v10) = v20 & member(v15, v8) = v19 & ( ~ (v24 = 0) | ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | (( ~ (v26 = 0) | v25 = 0) & ( ~ (v25 = 0) | v26 = 0))))))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (v13 = v12 | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (( ~ (v14 = 0) & equal_maps(v7, v8, v9, v10) = v14) | (apply(v8, v11, v13) = v18 & apply(v7, v11, v12) = v17 & member(v13, v10) = v16 & member(v12, v10) = v15 & member(v11, v9) = v14 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | ~ (v14 = 0))))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (difference(v9, v8) = v12 & member(v7, v12) = v13 & member(v7, v9) = v10 & member(v7, v8) = v11 & ( ~ (v10 = 0) | v13 = 0 | v11 = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (union(v8, v9) = v12 & member(v7, v12) = v13 & member(v7, v9) = v11 & member(v7, v8) = v10 & (v13 = 0 | ( ~ (v11 = 0) & ~ (v10 = 0)))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (intersection(v8, v9) = v12 & member(v7, v12) = v13 & member(v7, v9) = v11 & member(v7, v8) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v13 = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = 0 & v11 = 0 & apply(v7, v10, v9) = 0 & member(v10, v8) = 0) | ( ~ (v11 = 0) & image2(v7, v8) = v10 & member(v9, v10) = v11)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = 0 & v11 = 0 & apply(v7, v9, v10) = 0 & member(v10, v8) = 0) | ( ~ (v11 = 0) & inverse_image2(v7, v8) = v10 & member(v9, v10) = v11)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = 0 & inverse_image2(v7, v8) = v11 & member(v9, v11) = 0) | (apply(v7, v9, v10) = v12 & member(v10, v8) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ((v12 = 0 & image2(v7, v8) = v11 & member(v9, v11) = 0) | (apply(v7, v10, v9) = v12 & member(v10, v8) = v11 & ( ~ (v12 = 0) | ~ (v11 = 0)))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (one_to_one(v7, v8, v9) = v12 & surjective(v7, v8, v9) = v11 & injective(v7, v8, v9) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & member(v9, v8) = 0 & member(v7, v9) = 0) | ( ~ (v10 = 0) & sum(v8) = v9 & member(v7, v9) = v10)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & sum(v8) = v10 & member(v7, v10) = 0) | (member(v9, v8) = v10 & member(v7, v9) = v11 & ( ~ (v11 = 0) | ~ (v10 = 0)))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v10 = 0 & ~ (v11 = 0) & apply(v7, v9, v9) = v11 & member(v9, v8) = 0) | (v9 = 0 & identity(v7, v8) = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v10 = 0 & ~ (v11 = 0) & member(v9, v8) = 0 & member(v7, v9) = v11) | (v10 = 0 & product(v8) = v9 & member(v7, v9) = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (( ~ (v11 = 0) & product(v8) = v10 & member(v7, v10) = v11) | (member(v9, v8) = v10 & member(v7, v9) = v11 & ( ~ (v10 = 0) | v11 = 0))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (( ~ (v10 = 0) & identity(v7, v8) = v10) | (apply(v7, v9, v9) = v11 & member(v9, v8) = v10 & ( ~ (v10 = 0) | v11 = 0))) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (power_set(v8) = v10 & subset(v7, v8) = v9 & member(v7, v10) = v11 & ( ~ (v9 = 0) | v11 = 0)) & ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : (equal_set(v7, v8) = v11 & subset(v8, v7) = v10 & subset(v7, v8) = v9 & ( ~ (v10 = 0) | ~ (v9 = 0) | v11 = 0)) & ? [v7] : ? [v8] : ? [v9] : (v9 = v7 | v8 = v7 | ? [v10] : ? [v11] : ( ~ (v11 = 0) & unordered_pair(v8, v9) = v10 & member(v7, v10) = v11)) & ? [v7] : ? [v8] : ? [v9] : (unordered_pair(v8, v7) = v9 & member(v7, v9) = 0) & ? [v7] : ? [v8] : ? [v9] : (unordered_pair(v7, v8) = v9 & member(v7, v9) = 0) & ? [v7] : ? [v8] : (v8 = v7 | ? [v9] : ? [v10] : ( ~ (v10 = 0) & singleton(v8) = v9 & member(v7, v9) = v10)) & ? [v7] : ? [v8] : (singleton(v7) = v8 & member(v7, v8) = 0))
% 26.47/6.70 | 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 yields:
% 26.47/6.70 | (1) ~ (all_0_0_0 = 0) & injective(all_0_1_1, all_0_4_4, all_0_2_2) = 0 & injective(all_0_6_6, all_0_4_4, all_0_3_3) = all_0_0_0 & compose_function(all_0_5_5, all_0_6_6, all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1 & maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0 & maps(all_0_6_6, all_0_4_4, all_0_3_3) = 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)
% 26.47/6.75 |
% 26.47/6.75 | Applying alpha-rule on (1) yields:
% 26.47/6.75 | (2) ! [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))))
% 26.73/6.75 | (3) ! [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)))))
% 26.73/6.75 | (4) ! [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)))))
% 26.73/6.75 | (5) ! [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))
% 26.73/6.75 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0))
% 26.73/6.75 | (7) ? [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))
% 26.73/6.75 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0)
% 26.73/6.75 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0))
% 26.73/6.75 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0))
% 26.73/6.75 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 26.73/6.75 | (12) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (power_set(v1) = v3 & subset(v0, v1) = v2 & member(v0, v3) = v4 & ( ~ (v2 = 0) | v4 = 0))
% 26.73/6.75 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0))
% 26.73/6.75 | (14) ! [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)))))
% 26.73/6.75 | (15) ! [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)))
% 26.73/6.75 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0))
% 26.73/6.75 | (17) ! [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))))
% 26.73/6.75 | (18) ! [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))))
% 26.73/6.75 | (19) ! [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)))
% 26.73/6.75 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0))
% 26.73/6.75 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0))
% 26.73/6.75 | (22) ! [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))))
% 26.73/6.76 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0))
% 26.73/6.76 | (24) ! [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))
% 26.76/6.76 | (25) ? [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)))
% 26.76/6.76 | (26) ! [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))
% 26.76/6.76 | (27) ! [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)))))
% 26.76/6.76 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0))
% 26.76/6.76 | (29) ! [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)))))
% 26.76/6.76 | (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) | ~ (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))))
% 26.76/6.76 | (31) ! [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))))
% 26.76/6.76 | (32) ! [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))))
% 26.76/6.76 | (33) maps(all_0_6_6, all_0_4_4, all_0_3_3) = 0
% 26.76/6.76 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 26.76/6.76 | (35) ! [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)))
% 26.76/6.76 | (36) ! [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)))))
% 26.76/6.76 | (37) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0))
% 26.76/6.76 | (38) ! [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))))
% 26.76/6.76 | (39) ? [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)))))
% 26.76/6.76 | (40) ? [v0] : ? [v1] : ? [v2] : (unordered_pair(v0, v1) = v2 & member(v0, v2) = 0)
% 26.76/6.76 | (41) ! [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)))))
% 26.76/6.76 | (42) ~ (all_0_0_0 = 0)
% 26.76/6.76 | (43) ? [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))
% 26.76/6.76 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 26.76/6.76 | (45) ! [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)))))
% 26.76/6.76 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4))
% 26.76/6.76 | (47) ? [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))
% 26.76/6.76 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0))
% 26.76/6.76 | (49) ? [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))))
% 26.76/6.76 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0))
% 26.76/6.76 | (51) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & apply(v0, v2, v2) = v4 & member(v2, v1) = 0) | (v2 = 0 & identity(v0, v1) = 0))
% 26.76/6.76 | (52) ! [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)))
% 26.76/6.77 | (53) ! [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))))
% 26.76/6.77 | (54) ! [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))
% 26.76/6.77 | (55) ! [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)))))
% 26.76/6.77 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3))
% 26.76/6.77 | (57) ! [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)))
% 26.76/6.77 | (58) ! [v0] : ~ (member(v0, empty_set) = 0)
% 26.76/6.77 | (59) ! [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)))))
% 26.76/6.77 | (60) ? [v0] : ? [v1] : ? [v2] : (unordered_pair(v1, v0) = v2 & member(v0, v2) = 0)
% 26.76/6.77 | (61) ! [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)))
% 26.76/6.77 | (62) ! [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)))))
% 26.76/6.77 | (63) ? [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)))
% 26.76/6.77 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0))
% 26.76/6.77 | (65) ! [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))))
% 26.76/6.77 | (66) ! [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))))
% 26.76/6.77 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0))
% 26.76/6.77 | (68) ! [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))))
% 26.76/6.77 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0))
% 26.76/6.77 | (70) ! [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))))
% 26.76/6.77 | (71) ! [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))))
% 26.76/6.77 | (72) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ? [v3] : (equal_set(v0, v1) = v3 & subset(v1, v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 26.76/6.77 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0))
% 26.76/6.77 | (74) ! [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))))
% 26.76/6.77 | (75) ! [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))
% 26.76/6.77 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : (equal_set(v0, v1) = v3 & subset(v1, v0) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0))))
% 26.76/6.77 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 26.76/6.77 | (78) ? [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)))))
% 26.76/6.77 | (79) ! [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)))
% 26.76/6.77 | (80) ! [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))
% 26.76/6.77 | (81) ? [v0] : ? [v1] : ? [v2] : (v2 = v0 | v1 = v0 | ? [v3] : ? [v4] : ( ~ (v4 = 0) & unordered_pair(v1, v2) = v3 & member(v0, v3) = v4))
% 26.76/6.77 | (82) ! [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))))
% 26.76/6.78 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0))
% 26.76/6.78 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4))
% 26.76/6.78 | (85) ? [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))
% 26.76/6.78 | (86) ! [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)))))
% 26.76/6.78 | (87) ! [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))
% 26.76/6.78 | (88) ! [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)))))
% 26.76/6.78 | (89) ! [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)))
% 26.76/6.78 | (90) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (( ~ (v3 = 0) & identity(v0, v1) = v3) | (apply(v0, v2, v2) = v4 & member(v2, v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 26.76/6.78 | (91) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4))
% 26.76/6.78 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0))
% 26.76/6.78 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0))
% 26.76/6.78 | (94) ! [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)))))
% 26.76/6.78 | (95) ! [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)))))
% 26.76/6.78 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0))
% 26.76/6.78 | (97) ! [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)))))
% 26.76/6.78 | (98) ! [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)))
% 26.76/6.78 | (99) ? [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))))
% 26.76/6.78 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0))
% 26.76/6.78 | (101) ! [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)))
% 26.76/6.78 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0))
% 26.76/6.78 | (103) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : ? [v4] : (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 26.76/6.78 | (104) ! [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))
% 26.76/6.78 | (105) ? [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))
% 26.76/6.78 | (106) ? [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))
% 26.76/6.78 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0))
% 26.76/6.78 | (108) ! [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)))))
% 26.76/6.78 | (109) ? [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))))
% 26.76/6.78 | (110) ! [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)))
% 26.76/6.78 | (111) ! [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)))
% 26.76/6.78 | (112) ? [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))
% 26.76/6.78 | (113) ! [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))
% 26.76/6.79 | (114) ! [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)))))
% 26.76/6.79 | (115) ! [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)))
% 26.76/6.79 | (116) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (equal_set(v0, v1) = v4 & subset(v1, v0) = v3 & subset(v0, v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 = 0))
% 26.76/6.79 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0))
% 26.76/6.79 | (118) ! [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))))
% 26.76/6.79 | (119) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0))
% 26.76/6.79 | (120) ! [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)))))
% 26.76/6.79 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4))
% 26.76/6.79 | (122) ! [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))
% 26.76/6.79 | (123) ! [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))
% 26.76/6.79 | (124) ? [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)))
% 26.76/6.79 | (125) ! [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)))))
% 26.76/6.79 | (126) ! [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)))
% 26.76/6.79 | (127) ! [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)))
% 26.76/6.79 | (128) ! [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)))))
% 26.76/6.79 | (129) ! [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))
% 26.76/6.79 | (130) ! [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)))))
% 26.76/6.79 | (131) ! [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)))
% 26.76/6.79 | (132) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0))
% 26.76/6.79 | (133) ! [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))
% 26.76/6.79 | (134) ? [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))
% 26.76/6.79 | (135) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0)
% 26.76/6.79 | (136) ! [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))))
% 26.76/6.79 | (137) ? [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))
% 26.76/6.79 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3))
% 26.76/6.79 | (139) ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ? [v3] : (equal_set(v0, v1) = v3 & subset(v0, v1) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 26.76/6.79 | (140) ! [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)))
% 26.76/6.79 | (141) ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0))
% 26.76/6.79 | (142) compose_function(all_0_5_5, all_0_6_6, all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1
% 26.76/6.79 | (143) ? [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)))
% 26.76/6.79 | (144) ! [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))))
% 26.76/6.80 | (145) injective(all_0_6_6, all_0_4_4, all_0_3_3) = all_0_0_0
% 26.76/6.80 | (146) maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0
% 26.76/6.80 | (147) ! [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)))
% 26.76/6.80 | (148) ! [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)))
% 26.76/6.80 | (149) ! [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)))
% 26.76/6.80 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0))
% 26.76/6.80 | (151) ! [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))))
% 26.76/6.80 | (152) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0))
% 26.76/6.80 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0)
% 26.76/6.80 | (154) ? [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))))
% 26.76/6.80 | (155) ? [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))))
% 26.76/6.80 | (156) ? [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))
% 26.76/6.80 | (157) ! [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))))
% 26.76/6.80 | (158) ? [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))
% 26.76/6.80 | (159) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2))
% 26.76/6.80 | (160) ! [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)))
% 26.76/6.80 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0))
% 26.76/6.80 | (162) ! [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))
% 26.76/6.80 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 26.76/6.80 | (164) injective(all_0_1_1, all_0_4_4, all_0_2_2) = 0
% 26.76/6.80 | (165) ? [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)))
% 26.76/6.80 | (166) ! [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)))
% 26.76/6.80 | (167) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ( ~ (v3 = 0) & singleton(v1) = v2 & member(v0, v2) = v3))
% 26.76/6.80 | (168) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0))
% 26.76/6.80 | (169) ! [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)))
% 26.76/6.80 | (170) ! [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))
% 26.76/6.80 | (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))))
% 26.76/6.80 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0))
% 26.76/6.80 | (173) ! [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))))
% 26.76/6.80 | (174) ! [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))))
% 26.76/6.80 | (175) ! [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))))
% 26.96/6.80 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 26.96/6.80 | (177) ! [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))
% 26.96/6.80 | (178) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0))
% 26.96/6.80 | (179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 26.96/6.80 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0))
% 26.96/6.80 | (181) ! [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))))
% 26.96/6.80 | (182) ! [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)))))
% 26.96/6.81 | (183) ? [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)))))))
% 26.96/6.81 | (184) ? [v0] : ? [v1] : (singleton(v0) = v1 & member(v0, v1) = 0)
% 26.96/6.81 | (185) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ? [v4] : (equal_set(v0, v1) = v3 & subset(v0, v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0))))
% 26.96/6.81 | (186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0))
% 26.96/6.81 | (187) ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0)
% 26.96/6.81 | (188) ? [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)))))))
% 26.96/6.81 | (189) ! [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))))
% 26.96/6.81 | (190) ? [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))
% 26.96/6.81 | (191) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0))
% 26.96/6.81 | (192) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0))
% 26.96/6.81 | (193) ! [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))))
% 26.96/6.81 | (194) ? [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))))))))
% 26.96/6.81 | (195) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0))
% 26.96/6.81 |
% 26.96/6.81 | Instantiating formula (148) with all_0_2_2, all_0_4_4, all_0_1_1 and discharging atoms injective(all_0_1_1, all_0_4_4, all_0_2_2) = 0, yields:
% 26.96/6.81 | (196) ? [v0] : ? [v1] : (one_to_one(all_0_1_1, all_0_4_4, all_0_2_2) = v1 & surjective(all_0_1_1, all_0_4_4, all_0_2_2) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 26.96/6.81 |
% 26.96/6.81 | Instantiating formula (31) with 0, all_0_2_2, all_0_4_4, all_0_1_1 and discharging atoms injective(all_0_1_1, all_0_4_4, all_0_2_2) = 0, yields:
% 26.96/6.81 | (197) ? [v0] : ? [v1] : (one_to_one(all_0_1_1, all_0_4_4, all_0_2_2) = v0 & surjective(all_0_1_1, all_0_4_4, all_0_2_2) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 26.96/6.81 |
% 26.96/6.81 | Instantiating formula (24) with all_0_0_0, all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms injective(all_0_6_6, all_0_4_4, all_0_3_3) = all_0_0_0, yields:
% 26.96/6.81 | (198) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = v0) & apply(all_0_6_6, v1, v2) = 0 & apply(all_0_6_6, v0, v2) = 0 & member(v2, all_0_3_3) = 0 & member(v1, all_0_4_4) = 0 & member(v0, all_0_4_4) = 0)
% 26.96/6.81 |
% 26.96/6.81 | Instantiating (196) with all_74_0_318, all_74_1_319 yields:
% 26.96/6.81 | (199) one_to_one(all_0_1_1, all_0_4_4, all_0_2_2) = all_74_0_318 & surjective(all_0_1_1, all_0_4_4, all_0_2_2) = all_74_1_319 & ( ~ (all_74_1_319 = 0) | all_74_0_318 = 0)
% 26.96/6.81 |
% 26.96/6.81 | Applying alpha-rule on (199) yields:
% 26.96/6.81 | (200) one_to_one(all_0_1_1, all_0_4_4, all_0_2_2) = all_74_0_318
% 26.96/6.81 | (201) surjective(all_0_1_1, all_0_4_4, all_0_2_2) = all_74_1_319
% 26.96/6.81 | (202) ~ (all_74_1_319 = 0) | all_74_0_318 = 0
% 26.96/6.81 |
% 26.96/6.81 | Instantiating (197) with all_80_0_324, all_80_1_325 yields:
% 26.96/6.81 | (203) one_to_one(all_0_1_1, all_0_4_4, all_0_2_2) = all_80_1_325 & surjective(all_0_1_1, all_0_4_4, all_0_2_2) = all_80_0_324 & ( ~ (all_80_1_325 = 0) | all_80_0_324 = 0)
% 26.96/6.81 |
% 26.96/6.81 | Applying alpha-rule on (203) yields:
% 26.96/6.81 | (204) one_to_one(all_0_1_1, all_0_4_4, all_0_2_2) = all_80_1_325
% 26.96/6.81 | (205) surjective(all_0_1_1, all_0_4_4, all_0_2_2) = all_80_0_324
% 26.96/6.81 | (206) ~ (all_80_1_325 = 0) | all_80_0_324 = 0
% 26.96/6.81 |
% 26.96/6.81 +-Applying beta-rule and splitting (198), into two cases.
% 26.96/6.81 |-Branch one:
% 26.96/6.81 | (207) all_0_0_0 = 0
% 26.96/6.81 |
% 26.96/6.81 | Equations (207) can reduce 42 to:
% 26.96/6.81 | (208) $false
% 26.96/6.81 |
% 26.96/6.81 |-The branch is then unsatisfiable
% 26.96/6.81 |-Branch two:
% 26.96/6.81 | (42) ~ (all_0_0_0 = 0)
% 26.96/6.81 | (210) ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = v0) & apply(all_0_6_6, v1, v2) = 0 & apply(all_0_6_6, v0, v2) = 0 & member(v2, all_0_3_3) = 0 & member(v1, all_0_4_4) = 0 & member(v0, all_0_4_4) = 0)
% 26.96/6.81 |
% 26.96/6.81 | Instantiating (210) with all_89_0_326, all_89_1_327, all_89_2_328 yields:
% 26.96/6.81 | (211) ~ (all_89_1_327 = all_89_2_328) & apply(all_0_6_6, all_89_1_327, all_89_0_326) = 0 & apply(all_0_6_6, all_89_2_328, all_89_0_326) = 0 & member(all_89_0_326, all_0_3_3) = 0 & member(all_89_1_327, all_0_4_4) = 0 & member(all_89_2_328, all_0_4_4) = 0
% 26.96/6.81 |
% 26.96/6.81 | Applying alpha-rule on (211) yields:
% 26.96/6.81 | (212) ~ (all_89_1_327 = all_89_2_328)
% 26.96/6.81 | (213) apply(all_0_6_6, all_89_1_327, all_89_0_326) = 0
% 26.96/6.81 | (214) member(all_89_0_326, all_0_3_3) = 0
% 26.96/6.81 | (215) member(all_89_1_327, all_0_4_4) = 0
% 26.96/6.81 | (216) member(all_89_2_328, all_0_4_4) = 0
% 26.96/6.81 | (217) apply(all_0_6_6, all_89_2_328, all_89_0_326) = 0
% 26.96/6.81 |
% 26.96/6.81 | Instantiating formula (28) with all_0_1_1, all_0_4_4, all_0_2_2, all_74_1_319, all_80_0_324 and discharging atoms surjective(all_0_1_1, all_0_4_4, all_0_2_2) = all_80_0_324, surjective(all_0_1_1, all_0_4_4, all_0_2_2) = all_74_1_319, yields:
% 26.96/6.81 | (218) all_80_0_324 = all_74_1_319
% 26.96/6.81 |
% 26.96/6.81 | From (218) and (205) follows:
% 26.96/6.81 | (201) surjective(all_0_1_1, all_0_4_4, all_0_2_2) = all_74_1_319
% 26.96/6.81 |
% 26.96/6.81 | Instantiating formula (32) with all_74_1_319, all_0_2_2, all_0_4_4, all_0_1_1 and discharging atoms surjective(all_0_1_1, all_0_4_4, all_0_2_2) = all_74_1_319, yields:
% 26.96/6.82 | (220) ? [v0] : ? [v1] : (one_to_one(all_0_1_1, all_0_4_4, all_0_2_2) = v0 & injective(all_0_1_1, all_0_4_4, all_0_2_2) = v1 & ( ~ (v0 = 0) | (v1 = 0 & all_74_1_319 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (150) with all_89_0_326, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0, member(all_89_0_326, all_0_3_3) = 0, yields:
% 26.96/6.82 | (221) ? [v0] : (apply(all_0_5_5, all_89_0_326, v0) = 0 & member(v0, all_0_2_2) = 0)
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (150) with all_89_1_327, 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_89_1_327, all_0_4_4) = 0, yields:
% 26.96/6.82 | (222) ? [v0] : (apply(all_0_6_6, all_89_1_327, v0) = 0 & member(v0, all_0_3_3) = 0)
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (150) with all_89_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_89_2_328, all_0_4_4) = 0, yields:
% 26.96/6.82 | (223) ? [v0] : (apply(all_0_6_6, all_89_2_328, v0) = 0 & member(v0, all_0_3_3) = 0)
% 26.96/6.82 |
% 26.96/6.82 | Instantiating (223) with all_100_0_329 yields:
% 26.96/6.82 | (224) apply(all_0_6_6, all_89_2_328, all_100_0_329) = 0 & member(all_100_0_329, all_0_3_3) = 0
% 26.96/6.82 |
% 26.96/6.82 | Applying alpha-rule on (224) yields:
% 26.96/6.82 | (225) apply(all_0_6_6, all_89_2_328, all_100_0_329) = 0
% 26.96/6.82 | (226) member(all_100_0_329, all_0_3_3) = 0
% 26.96/6.82 |
% 26.96/6.82 | Instantiating (222) with all_102_0_330 yields:
% 26.96/6.82 | (227) apply(all_0_6_6, all_89_1_327, all_102_0_330) = 0 & member(all_102_0_330, all_0_3_3) = 0
% 26.96/6.82 |
% 26.96/6.82 | Applying alpha-rule on (227) yields:
% 26.96/6.82 | (228) apply(all_0_6_6, all_89_1_327, all_102_0_330) = 0
% 26.96/6.82 | (229) member(all_102_0_330, all_0_3_3) = 0
% 26.96/6.82 |
% 26.96/6.82 | Instantiating (220) with all_104_0_331, all_104_1_332 yields:
% 26.96/6.82 | (230) one_to_one(all_0_1_1, all_0_4_4, all_0_2_2) = all_104_1_332 & injective(all_0_1_1, all_0_4_4, all_0_2_2) = all_104_0_331 & ( ~ (all_104_1_332 = 0) | (all_104_0_331 = 0 & all_74_1_319 = 0))
% 26.96/6.82 |
% 26.96/6.82 | Applying alpha-rule on (230) yields:
% 26.96/6.82 | (231) one_to_one(all_0_1_1, all_0_4_4, all_0_2_2) = all_104_1_332
% 26.96/6.82 | (232) injective(all_0_1_1, all_0_4_4, all_0_2_2) = all_104_0_331
% 26.96/6.82 | (233) ~ (all_104_1_332 = 0) | (all_104_0_331 = 0 & all_74_1_319 = 0)
% 26.96/6.82 |
% 26.96/6.82 | Instantiating (221) with all_106_0_333 yields:
% 26.96/6.82 | (234) apply(all_0_5_5, all_89_0_326, all_106_0_333) = 0 & member(all_106_0_333, all_0_2_2) = 0
% 26.96/6.82 |
% 26.96/6.82 | Applying alpha-rule on (234) yields:
% 26.96/6.82 | (235) apply(all_0_5_5, all_89_0_326, all_106_0_333) = 0
% 26.96/6.82 | (236) member(all_106_0_333, all_0_2_2) = 0
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (20) with all_0_1_1, all_0_4_4, all_0_2_2, all_104_0_331, 0 and discharging atoms injective(all_0_1_1, all_0_4_4, all_0_2_2) = all_104_0_331, injective(all_0_1_1, all_0_4_4, all_0_2_2) = 0, yields:
% 26.96/6.82 | (237) all_104_0_331 = 0
% 26.96/6.82 |
% 26.96/6.82 | From (237) and (232) follows:
% 26.96/6.82 | (164) injective(all_0_1_1, all_0_4_4, all_0_2_2) = 0
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (118) with all_100_0_329, all_89_0_326, all_89_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_89_2_328, all_100_0_329) = 0, member(all_89_0_326, all_0_3_3) = 0, yields:
% 26.96/6.82 | (239) all_100_0_329 = all_89_0_326 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_2_328, all_89_0_326) = v2 & member(all_100_0_329, all_0_3_3) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (65) with all_106_0_333, all_89_1_327, all_89_2_328, all_0_2_2, all_0_4_4, all_0_1_1 and discharging atoms injective(all_0_1_1, all_0_4_4, all_0_2_2) = 0, member(all_106_0_333, all_0_2_2) = 0, member(all_89_1_327, all_0_4_4) = 0, member(all_89_2_328, all_0_4_4) = 0, yields:
% 26.96/6.82 | (240) all_89_1_327 = all_89_2_328 | ? [v0] : ? [v1] : (apply(all_0_1_1, all_89_1_327, all_106_0_333) = v1 & apply(all_0_1_1, all_89_2_328, all_106_0_333) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (65) with all_106_0_333, all_89_2_328, all_89_1_327, all_0_2_2, all_0_4_4, all_0_1_1 and discharging atoms injective(all_0_1_1, all_0_4_4, all_0_2_2) = 0, member(all_106_0_333, all_0_2_2) = 0, member(all_89_1_327, all_0_4_4) = 0, member(all_89_2_328, all_0_4_4) = 0, yields:
% 26.96/6.82 | (241) all_89_1_327 = all_89_2_328 | ? [v0] : ? [v1] : (apply(all_0_1_1, all_89_1_327, all_106_0_333) = v0 & apply(all_0_1_1, all_89_2_328, all_106_0_333) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (150) with all_102_0_330, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0, member(all_102_0_330, all_0_3_3) = 0, yields:
% 26.96/6.82 | (242) ? [v0] : (apply(all_0_5_5, all_102_0_330, v0) = 0 & member(v0, all_0_2_2) = 0)
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (118) with all_89_0_326, all_102_0_330, all_89_1_327, 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_89_1_327, all_89_0_326) = 0, member(all_102_0_330, all_0_3_3) = 0, yields:
% 26.96/6.82 | (243) all_102_0_330 = all_89_0_326 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_1_327, all_102_0_330) = v2 & member(all_89_0_326, all_0_3_3) = v1 & member(all_89_1_327, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (118) with all_89_0_326, all_102_0_330, all_89_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_89_2_328, all_89_0_326) = 0, member(all_102_0_330, all_0_3_3) = 0, yields:
% 26.96/6.82 | (244) all_102_0_330 = all_89_0_326 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_2_328, all_102_0_330) = v2 & member(all_89_0_326, all_0_3_3) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (118) with all_100_0_329, all_102_0_330, all_89_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_89_2_328, all_100_0_329) = 0, member(all_102_0_330, all_0_3_3) = 0, yields:
% 26.96/6.82 | (245) all_102_0_330 = all_100_0_329 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_2_328, all_102_0_330) = v2 & member(all_100_0_329, all_0_3_3) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (150) with all_100_0_329, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0, member(all_100_0_329, all_0_3_3) = 0, yields:
% 26.96/6.82 | (246) ? [v0] : (apply(all_0_5_5, all_100_0_329, v0) = 0 & member(v0, all_0_2_2) = 0)
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (118) with all_89_0_326, all_100_0_329, all_89_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_89_2_328, all_89_0_326) = 0, member(all_100_0_329, all_0_3_3) = 0, yields:
% 26.96/6.82 | (247) all_100_0_329 = all_89_0_326 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_2_328, all_100_0_329) = v2 & member(all_89_0_326, all_0_3_3) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating formula (118) with all_102_0_330, all_100_0_329, all_89_1_327, 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_89_1_327, all_102_0_330) = 0, member(all_100_0_329, all_0_3_3) = 0, yields:
% 26.96/6.82 | (248) all_102_0_330 = all_100_0_329 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_1_327, all_100_0_329) = v2 & member(all_102_0_330, all_0_3_3) = v1 & member(all_89_1_327, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating (246) with all_127_0_340 yields:
% 26.96/6.82 | (249) apply(all_0_5_5, all_100_0_329, all_127_0_340) = 0 & member(all_127_0_340, all_0_2_2) = 0
% 26.96/6.82 |
% 26.96/6.82 | Applying alpha-rule on (249) yields:
% 26.96/6.82 | (250) apply(all_0_5_5, all_100_0_329, all_127_0_340) = 0
% 26.96/6.82 | (251) member(all_127_0_340, all_0_2_2) = 0
% 26.96/6.82 |
% 26.96/6.82 | Instantiating (242) with all_129_0_341 yields:
% 26.96/6.82 | (252) apply(all_0_5_5, all_102_0_330, all_129_0_341) = 0 & member(all_129_0_341, all_0_2_2) = 0
% 26.96/6.82 |
% 26.96/6.82 | Applying alpha-rule on (252) yields:
% 26.96/6.82 | (253) apply(all_0_5_5, all_102_0_330, all_129_0_341) = 0
% 26.96/6.82 | (254) member(all_129_0_341, all_0_2_2) = 0
% 26.96/6.82 |
% 26.96/6.82 +-Applying beta-rule and splitting (239), into two cases.
% 26.96/6.82 |-Branch one:
% 26.96/6.82 | (255) all_100_0_329 = all_89_0_326
% 26.96/6.82 |
% 26.96/6.82 | From (255) and (250) follows:
% 26.96/6.82 | (256) apply(all_0_5_5, all_89_0_326, all_127_0_340) = 0
% 26.96/6.82 |
% 26.96/6.82 | From (255) and (225) follows:
% 26.96/6.82 | (217) apply(all_0_6_6, all_89_2_328, all_89_0_326) = 0
% 26.96/6.82 |
% 26.96/6.82 | From (255) and (226) follows:
% 26.96/6.82 | (214) member(all_89_0_326, all_0_3_3) = 0
% 26.96/6.82 |
% 26.96/6.82 +-Applying beta-rule and splitting (248), into two cases.
% 26.96/6.82 |-Branch one:
% 26.96/6.82 | (259) all_102_0_330 = all_100_0_329
% 26.96/6.82 |
% 26.96/6.82 | Combining equations (255,259) yields a new equation:
% 26.96/6.82 | (260) all_102_0_330 = all_89_0_326
% 26.96/6.82 |
% 26.96/6.82 | From (260) and (253) follows:
% 26.96/6.82 | (261) apply(all_0_5_5, all_89_0_326, all_129_0_341) = 0
% 26.96/6.82 |
% 26.96/6.82 | From (260) and (228) follows:
% 26.96/6.82 | (213) apply(all_0_6_6, all_89_1_327, all_89_0_326) = 0
% 26.96/6.82 |
% 26.96/6.82 | From (260) and (229) follows:
% 26.96/6.82 | (214) member(all_89_0_326, all_0_3_3) = 0
% 26.96/6.82 |
% 26.96/6.82 +-Applying beta-rule and splitting (240), into two cases.
% 26.96/6.82 |-Branch one:
% 26.96/6.82 | (264) all_89_1_327 = all_89_2_328
% 26.96/6.82 |
% 26.96/6.82 | Equations (264) can reduce 212 to:
% 26.96/6.82 | (208) $false
% 26.96/6.82 |
% 26.96/6.82 |-The branch is then unsatisfiable
% 26.96/6.82 |-Branch two:
% 26.96/6.82 | (212) ~ (all_89_1_327 = all_89_2_328)
% 26.96/6.82 | (267) ? [v0] : ? [v1] : (apply(all_0_1_1, all_89_1_327, all_106_0_333) = v1 & apply(all_0_1_1, all_89_2_328, all_106_0_333) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating (267) with all_143_0_342, all_143_1_343 yields:
% 26.96/6.82 | (268) apply(all_0_1_1, all_89_1_327, all_106_0_333) = all_143_0_342 & apply(all_0_1_1, all_89_2_328, all_106_0_333) = all_143_1_343 & ( ~ (all_143_0_342 = 0) | ~ (all_143_1_343 = 0))
% 26.96/6.82 |
% 26.96/6.82 | Applying alpha-rule on (268) yields:
% 26.96/6.82 | (269) apply(all_0_1_1, all_89_1_327, all_106_0_333) = all_143_0_342
% 26.96/6.82 | (270) apply(all_0_1_1, all_89_2_328, all_106_0_333) = all_143_1_343
% 26.96/6.82 | (271) ~ (all_143_0_342 = 0) | ~ (all_143_1_343 = 0)
% 26.96/6.82 |
% 26.96/6.82 +-Applying beta-rule and splitting (241), into two cases.
% 26.96/6.82 |-Branch one:
% 26.96/6.82 | (264) all_89_1_327 = all_89_2_328
% 26.96/6.82 |
% 26.96/6.82 | Equations (264) can reduce 212 to:
% 26.96/6.82 | (208) $false
% 26.96/6.82 |
% 26.96/6.82 |-The branch is then unsatisfiable
% 26.96/6.82 |-Branch two:
% 26.96/6.82 | (212) ~ (all_89_1_327 = all_89_2_328)
% 26.96/6.82 | (275) ? [v0] : ? [v1] : (apply(all_0_1_1, all_89_1_327, all_106_0_333) = v0 & apply(all_0_1_1, all_89_2_328, all_106_0_333) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.82 |
% 26.96/6.82 | Instantiating (275) with all_148_0_344, all_148_1_345 yields:
% 26.96/6.82 | (276) apply(all_0_1_1, all_89_1_327, all_106_0_333) = all_148_1_345 & apply(all_0_1_1, all_89_2_328, all_106_0_333) = all_148_0_344 & ( ~ (all_148_0_344 = 0) | ~ (all_148_1_345 = 0))
% 26.96/6.83 |
% 26.96/6.83 | Applying alpha-rule on (276) yields:
% 26.96/6.83 | (277) apply(all_0_1_1, all_89_1_327, all_106_0_333) = all_148_1_345
% 26.96/6.83 | (278) apply(all_0_1_1, all_89_2_328, all_106_0_333) = all_148_0_344
% 26.96/6.83 | (279) ~ (all_148_0_344 = 0) | ~ (all_148_1_345 = 0)
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (9) with all_0_1_1, all_89_1_327, all_106_0_333, all_143_0_342, all_148_1_345 and discharging atoms apply(all_0_1_1, all_89_1_327, all_106_0_333) = all_148_1_345, apply(all_0_1_1, all_89_1_327, all_106_0_333) = all_143_0_342, yields:
% 26.96/6.83 | (280) all_148_1_345 = all_143_0_342
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (9) with all_0_1_1, all_89_2_328, all_106_0_333, all_143_1_343, all_148_0_344 and discharging atoms apply(all_0_1_1, all_89_2_328, all_106_0_333) = all_148_0_344, apply(all_0_1_1, all_89_2_328, all_106_0_333) = all_143_1_343, yields:
% 26.96/6.83 | (281) all_148_0_344 = all_143_1_343
% 26.96/6.83 |
% 26.96/6.83 | From (280) and (277) follows:
% 26.96/6.83 | (269) apply(all_0_1_1, all_89_1_327, all_106_0_333) = all_143_0_342
% 26.96/6.83 |
% 26.96/6.83 | From (281) and (278) follows:
% 26.96/6.83 | (270) apply(all_0_1_1, all_89_2_328, all_106_0_333) = all_143_1_343
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (29) with all_89_0_326, all_143_0_342, all_0_1_1, all_106_0_333, all_89_1_327, all_0_2_2, all_0_3_3, all_0_4_4, all_0_6_6, all_0_5_5 and discharging atoms compose_function(all_0_5_5, all_0_6_6, all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1, apply(all_0_1_1, all_89_1_327, all_106_0_333) = all_143_0_342, apply(all_0_6_6, all_89_1_327, all_89_0_326) = 0, yields:
% 26.96/6.83 | (284) all_143_0_342 = 0 | ? [v0] : ? [v1] : ((apply(all_0_5_5, all_89_0_326, all_106_0_333) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_106_0_333, all_0_2_2) = v1 & member(all_89_1_327, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (62) with all_89_0_326, all_143_0_342, all_0_1_1, all_106_0_333, all_89_1_327, all_0_2_2, all_0_3_3, all_0_4_4, all_0_6_6, all_0_5_5 and discharging atoms compose_function(all_0_5_5, all_0_6_6, all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1, apply(all_0_1_1, all_89_1_327, all_106_0_333) = all_143_0_342, member(all_89_0_326, all_0_3_3) = 0, yields:
% 26.96/6.83 | (285) all_143_0_342 = 0 | ? [v0] : ? [v1] : ((apply(all_0_5_5, all_89_0_326, all_106_0_333) = v1 & apply(all_0_6_6, all_89_1_327, all_89_0_326) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_106_0_333, all_0_2_2) = v1 & member(all_89_1_327, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (88) with all_89_0_326, all_143_1_343, all_0_1_1, all_106_0_333, all_89_2_328, all_0_2_2, all_0_3_3, all_0_4_4, all_0_6_6, all_0_5_5 and discharging atoms compose_function(all_0_5_5, all_0_6_6, all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1, apply(all_0_1_1, all_89_2_328, all_106_0_333) = all_143_1_343, apply(all_0_5_5, all_89_0_326, all_106_0_333) = 0, yields:
% 26.96/6.83 | (286) all_143_1_343 = 0 | ? [v0] : ? [v1] : ((apply(all_0_6_6, all_89_2_328, all_89_0_326) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_106_0_333, all_0_2_2) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (62) with all_89_0_326, all_143_1_343, all_0_1_1, all_106_0_333, all_89_2_328, all_0_2_2, all_0_3_3, all_0_4_4, all_0_6_6, all_0_5_5 and discharging atoms compose_function(all_0_5_5, all_0_6_6, all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1, apply(all_0_1_1, all_89_2_328, all_106_0_333) = all_143_1_343, member(all_89_0_326, all_0_3_3) = 0, yields:
% 26.96/6.83 | (287) all_143_1_343 = 0 | ? [v0] : ? [v1] : ((apply(all_0_5_5, all_89_0_326, all_106_0_333) = v1 & apply(all_0_6_6, all_89_2_328, all_89_0_326) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_106_0_333, all_0_2_2) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (118) with all_129_0_341, all_106_0_333, all_89_0_326, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0, apply(all_0_5_5, all_89_0_326, all_129_0_341) = 0, member(all_106_0_333, all_0_2_2) = 0, yields:
% 26.96/6.83 | (288) all_129_0_341 = all_106_0_333 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_5_5, all_89_0_326, all_106_0_333) = v2 & member(all_129_0_341, all_0_2_2) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (118) with all_106_0_333, all_127_0_340, all_89_0_326, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0, apply(all_0_5_5, all_89_0_326, all_106_0_333) = 0, member(all_127_0_340, all_0_2_2) = 0, yields:
% 26.96/6.83 | (289) all_127_0_340 = all_106_0_333 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_5_5, all_89_0_326, all_127_0_340) = v2 & member(all_106_0_333, all_0_2_2) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (118) with all_129_0_341, all_127_0_340, all_89_0_326, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0, apply(all_0_5_5, all_89_0_326, all_129_0_341) = 0, member(all_127_0_340, all_0_2_2) = 0, yields:
% 26.96/6.83 | (290) all_129_0_341 = all_127_0_340 | ? [v0] : ? [v1] : ? [v2] : (apply(all_0_5_5, all_89_0_326, all_127_0_340) = v2 & member(all_129_0_341, all_0_2_2) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (2) with all_129_0_341, all_127_0_340, all_89_0_326, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0, member(all_129_0_341, all_0_2_2) = 0, member(all_127_0_340, all_0_2_2) = 0, member(all_89_0_326, all_0_3_3) = 0, yields:
% 26.96/6.83 | (291) all_129_0_341 = all_127_0_340 | ? [v0] : ? [v1] : (apply(all_0_5_5, all_89_0_326, all_129_0_341) = v1 & apply(all_0_5_5, all_89_0_326, all_127_0_340) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 26.96/6.83 |
% 26.96/6.83 +-Applying beta-rule and splitting (290), into two cases.
% 26.96/6.83 |-Branch one:
% 26.96/6.83 | (292) all_129_0_341 = all_127_0_340
% 26.96/6.83 |
% 26.96/6.83 | From (292) and (261) follows:
% 26.96/6.83 | (256) apply(all_0_5_5, all_89_0_326, all_127_0_340) = 0
% 26.96/6.83 |
% 26.96/6.83 | From (292) and (254) follows:
% 26.96/6.83 | (251) member(all_127_0_340, all_0_2_2) = 0
% 26.96/6.83 |
% 26.96/6.83 +-Applying beta-rule and splitting (289), into two cases.
% 26.96/6.83 |-Branch one:
% 26.96/6.83 | (295) all_127_0_340 = all_106_0_333
% 26.96/6.83 |
% 26.96/6.83 | From (295) and (256) follows:
% 26.96/6.83 | (235) apply(all_0_5_5, all_89_0_326, all_106_0_333) = 0
% 26.96/6.83 |
% 26.96/6.83 | From (295) and (251) follows:
% 26.96/6.83 | (236) member(all_106_0_333, all_0_2_2) = 0
% 26.96/6.83 |
% 26.96/6.83 +-Applying beta-rule and splitting (287), into two cases.
% 26.96/6.83 |-Branch one:
% 26.96/6.83 | (298) all_143_1_343 = 0
% 26.96/6.83 |
% 26.96/6.83 | Combining equations (298,281) yields a new equation:
% 26.96/6.83 | (299) all_148_0_344 = 0
% 26.96/6.83 |
% 26.96/6.83 +-Applying beta-rule and splitting (284), into two cases.
% 26.96/6.83 |-Branch one:
% 26.96/6.83 | (300) all_143_0_342 = 0
% 26.96/6.83 |
% 26.96/6.83 | Combining equations (300,280) yields a new equation:
% 26.96/6.83 | (301) all_148_1_345 = 0
% 26.96/6.83 |
% 26.96/6.83 +-Applying beta-rule and splitting (279), into two cases.
% 26.96/6.83 |-Branch one:
% 26.96/6.83 | (302) ~ (all_148_0_344 = 0)
% 26.96/6.83 |
% 26.96/6.83 | Equations (299) can reduce 302 to:
% 26.96/6.83 | (208) $false
% 26.96/6.83 |
% 26.96/6.83 |-The branch is then unsatisfiable
% 26.96/6.83 |-Branch two:
% 26.96/6.83 | (299) all_148_0_344 = 0
% 26.96/6.83 | (305) ~ (all_148_1_345 = 0)
% 26.96/6.83 |
% 26.96/6.83 | Equations (301) can reduce 305 to:
% 26.96/6.83 | (208) $false
% 26.96/6.83 |
% 26.96/6.83 |-The branch is then unsatisfiable
% 26.96/6.83 |-Branch two:
% 26.96/6.83 | (307) ~ (all_143_0_342 = 0)
% 26.96/6.83 | (308) ? [v0] : ? [v1] : ((apply(all_0_5_5, all_89_0_326, all_106_0_333) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_106_0_333, all_0_2_2) = v1 & member(all_89_1_327, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 26.96/6.83 |
% 26.96/6.83 +-Applying beta-rule and splitting (285), into two cases.
% 26.96/6.83 |-Branch one:
% 26.96/6.83 | (300) all_143_0_342 = 0
% 26.96/6.83 |
% 26.96/6.83 | Equations (300) can reduce 307 to:
% 26.96/6.83 | (208) $false
% 26.96/6.83 |
% 26.96/6.83 |-The branch is then unsatisfiable
% 26.96/6.83 |-Branch two:
% 26.96/6.83 | (307) ~ (all_143_0_342 = 0)
% 26.96/6.83 | (312) ? [v0] : ? [v1] : ((apply(all_0_5_5, all_89_0_326, all_106_0_333) = v1 & apply(all_0_6_6, all_89_1_327, all_89_0_326) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_106_0_333, all_0_2_2) = v1 & member(all_89_1_327, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 26.96/6.83 |
% 26.96/6.83 | Instantiating (312) with all_346_0_370, all_346_1_371 yields:
% 26.96/6.83 | (313) (apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_346_0_370 & apply(all_0_6_6, all_89_1_327, all_89_0_326) = all_346_1_371 & ( ~ (all_346_0_370 = 0) | ~ (all_346_1_371 = 0))) | (member(all_106_0_333, all_0_2_2) = all_346_0_370 & member(all_89_1_327, all_0_4_4) = all_346_1_371 & ( ~ (all_346_0_370 = 0) | ~ (all_346_1_371 = 0)))
% 26.96/6.83 |
% 26.96/6.83 +-Applying beta-rule and splitting (313), into two cases.
% 26.96/6.83 |-Branch one:
% 26.96/6.83 | (314) apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_346_0_370 & apply(all_0_6_6, all_89_1_327, all_89_0_326) = all_346_1_371 & ( ~ (all_346_0_370 = 0) | ~ (all_346_1_371 = 0))
% 26.96/6.83 |
% 26.96/6.83 | Applying alpha-rule on (314) yields:
% 26.96/6.83 | (315) apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_346_0_370
% 26.96/6.83 | (316) apply(all_0_6_6, all_89_1_327, all_89_0_326) = all_346_1_371
% 26.96/6.83 | (317) ~ (all_346_0_370 = 0) | ~ (all_346_1_371 = 0)
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (9) with all_0_5_5, all_89_0_326, all_106_0_333, all_346_0_370, 0 and discharging atoms apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_346_0_370, apply(all_0_5_5, all_89_0_326, all_106_0_333) = 0, yields:
% 26.96/6.83 | (318) all_346_0_370 = 0
% 26.96/6.83 |
% 26.96/6.83 | Instantiating formula (9) with all_0_6_6, all_89_1_327, all_89_0_326, all_346_1_371, 0 and discharging atoms apply(all_0_6_6, all_89_1_327, all_89_0_326) = all_346_1_371, apply(all_0_6_6, all_89_1_327, all_89_0_326) = 0, yields:
% 26.96/6.83 | (319) all_346_1_371 = 0
% 26.96/6.83 |
% 26.96/6.84 +-Applying beta-rule and splitting (317), into two cases.
% 26.96/6.84 |-Branch one:
% 26.96/6.84 | (320) ~ (all_346_0_370 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Equations (318) can reduce 320 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (318) all_346_0_370 = 0
% 26.96/6.84 | (323) ~ (all_346_1_371 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Equations (319) can reduce 323 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (325) member(all_106_0_333, all_0_2_2) = all_346_0_370 & member(all_89_1_327, all_0_4_4) = all_346_1_371 & ( ~ (all_346_0_370 = 0) | ~ (all_346_1_371 = 0))
% 26.96/6.84 |
% 26.96/6.84 | Applying alpha-rule on (325) yields:
% 26.96/6.84 | (326) member(all_106_0_333, all_0_2_2) = all_346_0_370
% 26.96/6.84 | (327) member(all_89_1_327, all_0_4_4) = all_346_1_371
% 26.96/6.84 | (317) ~ (all_346_0_370 = 0) | ~ (all_346_1_371 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Instantiating formula (117) with all_106_0_333, all_0_2_2, all_346_0_370, 0 and discharging atoms member(all_106_0_333, all_0_2_2) = all_346_0_370, member(all_106_0_333, all_0_2_2) = 0, yields:
% 26.96/6.84 | (318) all_346_0_370 = 0
% 26.96/6.84 |
% 26.96/6.84 | Instantiating formula (117) with all_89_1_327, all_0_4_4, all_346_1_371, 0 and discharging atoms member(all_89_1_327, all_0_4_4) = all_346_1_371, member(all_89_1_327, all_0_4_4) = 0, yields:
% 26.96/6.84 | (319) all_346_1_371 = 0
% 26.96/6.84 |
% 26.96/6.84 +-Applying beta-rule and splitting (317), into two cases.
% 26.96/6.84 |-Branch one:
% 26.96/6.84 | (320) ~ (all_346_0_370 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Equations (318) can reduce 320 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (318) all_346_0_370 = 0
% 26.96/6.84 | (323) ~ (all_346_1_371 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Equations (319) can reduce 323 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (336) ~ (all_143_1_343 = 0)
% 26.96/6.84 | (337) ? [v0] : ? [v1] : ((apply(all_0_5_5, all_89_0_326, all_106_0_333) = v1 & apply(all_0_6_6, all_89_2_328, all_89_0_326) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_106_0_333, all_0_2_2) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 26.96/6.84 |
% 26.96/6.84 | Instantiating (337) with all_337_0_414, all_337_1_415 yields:
% 26.96/6.84 | (338) (apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_337_0_414 & apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_337_1_415 & ( ~ (all_337_0_414 = 0) | ~ (all_337_1_415 = 0))) | (member(all_106_0_333, all_0_2_2) = all_337_0_414 & member(all_89_2_328, all_0_4_4) = all_337_1_415 & ( ~ (all_337_0_414 = 0) | ~ (all_337_1_415 = 0)))
% 26.96/6.84 |
% 26.96/6.84 +-Applying beta-rule and splitting (338), into two cases.
% 26.96/6.84 |-Branch one:
% 26.96/6.84 | (339) apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_337_0_414 & apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_337_1_415 & ( ~ (all_337_0_414 = 0) | ~ (all_337_1_415 = 0))
% 26.96/6.84 |
% 26.96/6.84 | Applying alpha-rule on (339) yields:
% 26.96/6.84 | (340) apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_337_0_414
% 26.96/6.84 | (341) apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_337_1_415
% 26.96/6.84 | (342) ~ (all_337_0_414 = 0) | ~ (all_337_1_415 = 0)
% 26.96/6.84 |
% 26.96/6.84 +-Applying beta-rule and splitting (286), into two cases.
% 26.96/6.84 |-Branch one:
% 26.96/6.84 | (298) all_143_1_343 = 0
% 26.96/6.84 |
% 26.96/6.84 | Equations (298) can reduce 336 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (336) ~ (all_143_1_343 = 0)
% 26.96/6.84 | (346) ? [v0] : ? [v1] : ((apply(all_0_6_6, all_89_2_328, all_89_0_326) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (member(all_106_0_333, all_0_2_2) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 26.96/6.84 |
% 26.96/6.84 | Instantiating (346) with all_346_0_416, all_346_1_417 yields:
% 26.96/6.84 | (347) (apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_346_0_416 & member(all_89_0_326, all_0_3_3) = all_346_1_417 & ( ~ (all_346_0_416 = 0) | ~ (all_346_1_417 = 0))) | (member(all_106_0_333, all_0_2_2) = all_346_0_416 & member(all_89_2_328, all_0_4_4) = all_346_1_417 & ( ~ (all_346_0_416 = 0) | ~ (all_346_1_417 = 0)))
% 26.96/6.84 |
% 26.96/6.84 +-Applying beta-rule and splitting (347), into two cases.
% 26.96/6.84 |-Branch one:
% 26.96/6.84 | (348) apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_346_0_416 & member(all_89_0_326, all_0_3_3) = all_346_1_417 & ( ~ (all_346_0_416 = 0) | ~ (all_346_1_417 = 0))
% 26.96/6.84 |
% 26.96/6.84 | Applying alpha-rule on (348) yields:
% 26.96/6.84 | (349) apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_346_0_416
% 26.96/6.84 | (350) member(all_89_0_326, all_0_3_3) = all_346_1_417
% 26.96/6.84 | (351) ~ (all_346_0_416 = 0) | ~ (all_346_1_417 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Instantiating formula (9) with all_0_5_5, all_89_0_326, all_106_0_333, all_337_0_414, 0 and discharging atoms apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_337_0_414, apply(all_0_5_5, all_89_0_326, all_106_0_333) = 0, yields:
% 26.96/6.84 | (352) all_337_0_414 = 0
% 26.96/6.84 |
% 26.96/6.84 | Instantiating formula (9) with all_0_6_6, all_89_2_328, all_89_0_326, all_346_0_416, 0 and discharging atoms apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_346_0_416, apply(all_0_6_6, all_89_2_328, all_89_0_326) = 0, yields:
% 26.96/6.84 | (353) all_346_0_416 = 0
% 26.96/6.84 |
% 26.96/6.84 | Instantiating formula (9) with all_0_6_6, all_89_2_328, all_89_0_326, all_337_1_415, all_346_0_416 and discharging atoms apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_346_0_416, apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_337_1_415, yields:
% 26.96/6.84 | (354) all_346_0_416 = all_337_1_415
% 26.96/6.84 |
% 26.96/6.84 | Combining equations (353,354) yields a new equation:
% 26.96/6.84 | (355) all_337_1_415 = 0
% 26.96/6.84 |
% 26.96/6.84 +-Applying beta-rule and splitting (342), into two cases.
% 26.96/6.84 |-Branch one:
% 26.96/6.84 | (356) ~ (all_337_0_414 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Equations (352) can reduce 356 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (352) all_337_0_414 = 0
% 26.96/6.84 | (359) ~ (all_337_1_415 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Equations (355) can reduce 359 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (361) member(all_106_0_333, all_0_2_2) = all_346_0_416 & member(all_89_2_328, all_0_4_4) = all_346_1_417 & ( ~ (all_346_0_416 = 0) | ~ (all_346_1_417 = 0))
% 26.96/6.84 |
% 26.96/6.84 | Applying alpha-rule on (361) yields:
% 26.96/6.84 | (362) member(all_106_0_333, all_0_2_2) = all_346_0_416
% 26.96/6.84 | (363) member(all_89_2_328, all_0_4_4) = all_346_1_417
% 26.96/6.84 | (351) ~ (all_346_0_416 = 0) | ~ (all_346_1_417 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Instantiating formula (117) with all_106_0_333, all_0_2_2, all_346_0_416, 0 and discharging atoms member(all_106_0_333, all_0_2_2) = all_346_0_416, member(all_106_0_333, all_0_2_2) = 0, yields:
% 26.96/6.84 | (353) all_346_0_416 = 0
% 26.96/6.84 |
% 26.96/6.84 | Instantiating formula (117) with all_89_2_328, all_0_4_4, all_346_1_417, 0 and discharging atoms member(all_89_2_328, all_0_4_4) = all_346_1_417, member(all_89_2_328, all_0_4_4) = 0, yields:
% 26.96/6.84 | (366) all_346_1_417 = 0
% 26.96/6.84 |
% 26.96/6.84 +-Applying beta-rule and splitting (351), into two cases.
% 26.96/6.84 |-Branch one:
% 26.96/6.84 | (367) ~ (all_346_0_416 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Equations (353) can reduce 367 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (353) all_346_0_416 = 0
% 26.96/6.84 | (370) ~ (all_346_1_417 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Equations (366) can reduce 370 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (372) member(all_106_0_333, all_0_2_2) = all_337_0_414 & member(all_89_2_328, all_0_4_4) = all_337_1_415 & ( ~ (all_337_0_414 = 0) | ~ (all_337_1_415 = 0))
% 26.96/6.84 |
% 26.96/6.84 | Applying alpha-rule on (372) yields:
% 26.96/6.84 | (373) member(all_106_0_333, all_0_2_2) = all_337_0_414
% 26.96/6.84 | (374) member(all_89_2_328, all_0_4_4) = all_337_1_415
% 26.96/6.84 | (342) ~ (all_337_0_414 = 0) | ~ (all_337_1_415 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Instantiating formula (117) with all_106_0_333, all_0_2_2, all_337_0_414, 0 and discharging atoms member(all_106_0_333, all_0_2_2) = all_337_0_414, member(all_106_0_333, all_0_2_2) = 0, yields:
% 26.96/6.84 | (352) all_337_0_414 = 0
% 26.96/6.84 |
% 26.96/6.84 | Instantiating formula (117) with all_89_2_328, all_0_4_4, all_337_1_415, 0 and discharging atoms member(all_89_2_328, all_0_4_4) = all_337_1_415, member(all_89_2_328, all_0_4_4) = 0, yields:
% 26.96/6.84 | (355) all_337_1_415 = 0
% 26.96/6.84 |
% 26.96/6.84 +-Applying beta-rule and splitting (342), into two cases.
% 26.96/6.84 |-Branch one:
% 26.96/6.84 | (356) ~ (all_337_0_414 = 0)
% 26.96/6.84 |
% 26.96/6.84 | Equations (352) can reduce 356 to:
% 26.96/6.84 | (208) $false
% 26.96/6.84 |
% 26.96/6.84 |-The branch is then unsatisfiable
% 26.96/6.84 |-Branch two:
% 26.96/6.84 | (352) all_337_0_414 = 0
% 26.96/6.84 | (359) ~ (all_337_1_415 = 0)
% 27.15/6.84 |
% 27.15/6.84 | Equations (355) can reduce 359 to:
% 27.15/6.84 | (208) $false
% 27.15/6.84 |
% 27.15/6.84 |-The branch is then unsatisfiable
% 27.15/6.84 |-Branch two:
% 27.15/6.84 | (383) ~ (all_127_0_340 = all_106_0_333)
% 27.15/6.84 | (384) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_5_5, all_89_0_326, all_127_0_340) = v2 & member(all_106_0_333, all_0_2_2) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.84 |
% 27.15/6.84 | Instantiating (384) with all_333_0_500, all_333_1_501, all_333_2_502 yields:
% 27.15/6.84 | (385) apply(all_0_5_5, all_89_0_326, all_127_0_340) = all_333_0_500 & member(all_106_0_333, all_0_2_2) = all_333_1_501 & member(all_89_0_326, all_0_3_3) = all_333_2_502 & ( ~ (all_333_0_500 = 0) | ~ (all_333_1_501 = 0) | ~ (all_333_2_502 = 0))
% 27.15/6.84 |
% 27.15/6.84 | Applying alpha-rule on (385) yields:
% 27.15/6.84 | (386) apply(all_0_5_5, all_89_0_326, all_127_0_340) = all_333_0_500
% 27.15/6.84 | (387) member(all_106_0_333, all_0_2_2) = all_333_1_501
% 27.15/6.84 | (388) member(all_89_0_326, all_0_3_3) = all_333_2_502
% 27.15/6.85 | (389) ~ (all_333_0_500 = 0) | ~ (all_333_1_501 = 0) | ~ (all_333_2_502 = 0)
% 27.15/6.85 |
% 27.15/6.85 +-Applying beta-rule and splitting (288), into two cases.
% 27.15/6.85 |-Branch one:
% 27.15/6.85 | (390) all_129_0_341 = all_106_0_333
% 27.15/6.85 |
% 27.15/6.85 | Combining equations (390,292) yields a new equation:
% 27.15/6.85 | (295) all_127_0_340 = all_106_0_333
% 27.15/6.85 |
% 27.15/6.85 | Equations (295) can reduce 383 to:
% 27.15/6.85 | (208) $false
% 27.15/6.85 |
% 27.15/6.85 |-The branch is then unsatisfiable
% 27.15/6.85 |-Branch two:
% 27.15/6.85 | (393) ~ (all_129_0_341 = all_106_0_333)
% 27.15/6.85 | (394) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_5_5, all_89_0_326, all_106_0_333) = v2 & member(all_129_0_341, all_0_2_2) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.85 |
% 27.15/6.85 | Instantiating (394) with all_339_0_503, all_339_1_504, all_339_2_505 yields:
% 27.15/6.85 | (395) apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_339_0_503 & member(all_129_0_341, all_0_2_2) = all_339_1_504 & member(all_89_0_326, all_0_3_3) = all_339_2_505 & ( ~ (all_339_0_503 = 0) | ~ (all_339_1_504 = 0) | ~ (all_339_2_505 = 0))
% 27.15/6.85 |
% 27.15/6.85 | Applying alpha-rule on (395) yields:
% 27.15/6.85 | (396) apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_339_0_503
% 27.15/6.85 | (397) member(all_129_0_341, all_0_2_2) = all_339_1_504
% 27.15/6.85 | (398) member(all_89_0_326, all_0_3_3) = all_339_2_505
% 27.15/6.85 | (399) ~ (all_339_0_503 = 0) | ~ (all_339_1_504 = 0) | ~ (all_339_2_505 = 0)
% 27.15/6.85 |
% 27.15/6.85 | From (292) and (397) follows:
% 27.15/6.85 | (400) member(all_127_0_340, all_0_2_2) = all_339_1_504
% 27.15/6.85 |
% 27.15/6.85 | Instantiating formula (9) with all_0_5_5, all_89_0_326, all_106_0_333, all_339_0_503, 0 and discharging atoms apply(all_0_5_5, all_89_0_326, all_106_0_333) = all_339_0_503, apply(all_0_5_5, all_89_0_326, all_106_0_333) = 0, yields:
% 27.15/6.85 | (401) all_339_0_503 = 0
% 27.15/6.85 |
% 27.15/6.85 | Instantiating formula (117) with all_127_0_340, all_0_2_2, all_339_1_504, 0 and discharging atoms member(all_127_0_340, all_0_2_2) = all_339_1_504, member(all_127_0_340, all_0_2_2) = 0, yields:
% 27.15/6.85 | (402) all_339_1_504 = 0
% 27.15/6.85 |
% 27.15/6.85 | Instantiating formula (117) with all_89_0_326, all_0_3_3, all_339_2_505, 0 and discharging atoms member(all_89_0_326, all_0_3_3) = all_339_2_505, member(all_89_0_326, all_0_3_3) = 0, yields:
% 27.15/6.85 | (403) all_339_2_505 = 0
% 27.15/6.85 |
% 27.15/6.85 | Instantiating formula (117) with all_89_0_326, all_0_3_3, all_333_2_502, all_339_2_505 and discharging atoms member(all_89_0_326, all_0_3_3) = all_339_2_505, member(all_89_0_326, all_0_3_3) = all_333_2_502, yields:
% 27.15/6.85 | (404) all_339_2_505 = all_333_2_502
% 27.15/6.85 |
% 27.15/6.85 | Combining equations (403,404) yields a new equation:
% 27.15/6.85 | (405) all_333_2_502 = 0
% 27.15/6.85 |
% 27.15/6.85 | Combining equations (405,404) yields a new equation:
% 27.15/6.85 | (403) all_339_2_505 = 0
% 27.15/6.85 |
% 27.15/6.85 +-Applying beta-rule and splitting (399), into two cases.
% 27.15/6.85 |-Branch one:
% 27.15/6.85 | (407) ~ (all_339_0_503 = 0)
% 27.15/6.85 |
% 27.15/6.85 | Equations (401) can reduce 407 to:
% 27.15/6.85 | (208) $false
% 27.15/6.85 |
% 27.15/6.85 |-The branch is then unsatisfiable
% 27.15/6.85 |-Branch two:
% 27.15/6.85 | (401) all_339_0_503 = 0
% 27.15/6.85 | (410) ~ (all_339_1_504 = 0) | ~ (all_339_2_505 = 0)
% 27.15/6.85 |
% 27.15/6.85 +-Applying beta-rule and splitting (410), into two cases.
% 27.15/6.85 |-Branch one:
% 27.15/6.85 | (411) ~ (all_339_1_504 = 0)
% 27.15/6.85 |
% 27.15/6.85 | Equations (402) can reduce 411 to:
% 27.15/6.85 | (208) $false
% 27.15/6.85 |
% 27.15/6.85 |-The branch is then unsatisfiable
% 27.15/6.85 |-Branch two:
% 27.15/6.85 | (402) all_339_1_504 = 0
% 27.15/6.85 | (414) ~ (all_339_2_505 = 0)
% 27.15/6.85 |
% 27.15/6.85 | Equations (403) can reduce 414 to:
% 27.15/6.85 | (208) $false
% 27.15/6.85 |
% 27.15/6.85 |-The branch is then unsatisfiable
% 27.15/6.85 |-Branch two:
% 27.15/6.85 | (416) ~ (all_129_0_341 = all_127_0_340)
% 27.15/6.85 | (417) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_5_5, all_89_0_326, all_127_0_340) = v2 & member(all_129_0_341, all_0_2_2) = v1 & member(all_89_0_326, all_0_3_3) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.85 |
% 27.15/6.85 | Instantiating (417) with all_324_0_542, all_324_1_543, all_324_2_544 yields:
% 27.15/6.85 | (418) apply(all_0_5_5, all_89_0_326, all_127_0_340) = all_324_0_542 & member(all_129_0_341, all_0_2_2) = all_324_1_543 & member(all_89_0_326, all_0_3_3) = all_324_2_544 & ( ~ (all_324_0_542 = 0) | ~ (all_324_1_543 = 0) | ~ (all_324_2_544 = 0))
% 27.15/6.85 |
% 27.15/6.85 | Applying alpha-rule on (418) yields:
% 27.15/6.85 | (419) apply(all_0_5_5, all_89_0_326, all_127_0_340) = all_324_0_542
% 27.15/6.85 | (420) member(all_129_0_341, all_0_2_2) = all_324_1_543
% 27.15/6.85 | (421) member(all_89_0_326, all_0_3_3) = all_324_2_544
% 27.15/6.85 | (422) ~ (all_324_0_542 = 0) | ~ (all_324_1_543 = 0) | ~ (all_324_2_544 = 0)
% 27.15/6.85 |
% 27.15/6.85 +-Applying beta-rule and splitting (291), into two cases.
% 27.15/6.85 |-Branch one:
% 27.15/6.85 | (292) all_129_0_341 = all_127_0_340
% 27.15/6.85 |
% 27.15/6.85 | Equations (292) can reduce 416 to:
% 27.15/6.85 | (208) $false
% 27.15/6.85 |
% 27.15/6.85 |-The branch is then unsatisfiable
% 27.15/6.85 |-Branch two:
% 27.15/6.85 | (416) ~ (all_129_0_341 = all_127_0_340)
% 27.15/6.85 | (426) ? [v0] : ? [v1] : (apply(all_0_5_5, all_89_0_326, all_129_0_341) = v1 & apply(all_0_5_5, all_89_0_326, all_127_0_340) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.85 |
% 27.15/6.85 | Instantiating (426) with all_335_0_547, all_335_1_548 yields:
% 27.15/6.85 | (427) apply(all_0_5_5, all_89_0_326, all_129_0_341) = all_335_0_547 & apply(all_0_5_5, all_89_0_326, all_127_0_340) = all_335_1_548 & ( ~ (all_335_0_547 = 0) | ~ (all_335_1_548 = 0))
% 27.15/6.85 |
% 27.15/6.85 | Applying alpha-rule on (427) yields:
% 27.15/6.85 | (428) apply(all_0_5_5, all_89_0_326, all_129_0_341) = all_335_0_547
% 27.15/6.85 | (429) apply(all_0_5_5, all_89_0_326, all_127_0_340) = all_335_1_548
% 27.15/6.85 | (430) ~ (all_335_0_547 = 0) | ~ (all_335_1_548 = 0)
% 27.15/6.85 |
% 27.15/6.85 | Instantiating formula (9) with all_0_5_5, all_89_0_326, all_129_0_341, all_335_0_547, 0 and discharging atoms apply(all_0_5_5, all_89_0_326, all_129_0_341) = all_335_0_547, apply(all_0_5_5, all_89_0_326, all_129_0_341) = 0, yields:
% 27.15/6.85 | (431) all_335_0_547 = 0
% 27.15/6.85 |
% 27.15/6.85 | Instantiating formula (9) with all_0_5_5, all_89_0_326, all_127_0_340, all_335_1_548, 0 and discharging atoms apply(all_0_5_5, all_89_0_326, all_127_0_340) = all_335_1_548, apply(all_0_5_5, all_89_0_326, all_127_0_340) = 0, yields:
% 27.15/6.85 | (432) all_335_1_548 = 0
% 27.15/6.85 |
% 27.15/6.85 | Instantiating formula (9) with all_0_5_5, all_89_0_326, all_127_0_340, all_324_0_542, all_335_1_548 and discharging atoms apply(all_0_5_5, all_89_0_326, all_127_0_340) = all_335_1_548, apply(all_0_5_5, all_89_0_326, all_127_0_340) = all_324_0_542, yields:
% 27.15/6.85 | (433) all_335_1_548 = all_324_0_542
% 27.15/6.85 |
% 27.15/6.85 | Combining equations (432,433) yields a new equation:
% 27.15/6.85 | (434) all_324_0_542 = 0
% 27.15/6.85 |
% 27.15/6.85 | Combining equations (434,433) yields a new equation:
% 27.15/6.85 | (432) all_335_1_548 = 0
% 27.15/6.85 |
% 27.15/6.85 +-Applying beta-rule and splitting (430), into two cases.
% 27.15/6.85 |-Branch one:
% 27.15/6.85 | (436) ~ (all_335_0_547 = 0)
% 27.15/6.85 |
% 27.15/6.85 | Equations (431) can reduce 436 to:
% 27.15/6.85 | (208) $false
% 27.15/6.85 |
% 27.15/6.85 |-The branch is then unsatisfiable
% 27.15/6.85 |-Branch two:
% 27.15/6.85 | (431) all_335_0_547 = 0
% 27.15/6.85 | (439) ~ (all_335_1_548 = 0)
% 27.15/6.85 |
% 27.15/6.85 | Equations (432) can reduce 439 to:
% 27.15/6.85 | (208) $false
% 27.15/6.85 |
% 27.15/6.85 |-The branch is then unsatisfiable
% 27.15/6.85 |-Branch two:
% 27.15/6.85 | (441) ~ (all_102_0_330 = all_100_0_329)
% 27.15/6.85 | (442) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_1_327, all_100_0_329) = v2 & member(all_102_0_330, all_0_3_3) = v1 & member(all_89_1_327, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.85 |
% 27.15/6.85 | Equations (255) can reduce 441 to:
% 27.15/6.85 | (443) ~ (all_102_0_330 = all_89_0_326)
% 27.15/6.85 |
% 27.15/6.85 +-Applying beta-rule and splitting (243), into two cases.
% 27.15/6.85 |-Branch one:
% 27.15/6.85 | (260) all_102_0_330 = all_89_0_326
% 27.15/6.85 |
% 27.15/6.85 | Equations (260) can reduce 443 to:
% 27.15/6.85 | (208) $false
% 27.15/6.85 |
% 27.15/6.85 |-The branch is then unsatisfiable
% 27.15/6.85 |-Branch two:
% 27.15/6.85 | (443) ~ (all_102_0_330 = all_89_0_326)
% 27.15/6.85 | (447) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_1_327, all_102_0_330) = v2 & member(all_89_0_326, all_0_3_3) = v1 & member(all_89_1_327, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.85 |
% 27.15/6.85 | Instantiating (447) with all_145_0_584, all_145_1_585, all_145_2_586 yields:
% 27.15/6.85 | (448) apply(all_0_6_6, all_89_1_327, all_102_0_330) = all_145_0_584 & member(all_89_0_326, all_0_3_3) = all_145_1_585 & member(all_89_1_327, all_0_4_4) = all_145_2_586 & ( ~ (all_145_0_584 = 0) | ~ (all_145_1_585 = 0) | ~ (all_145_2_586 = 0))
% 27.15/6.85 |
% 27.15/6.85 | Applying alpha-rule on (448) yields:
% 27.15/6.85 | (449) apply(all_0_6_6, all_89_1_327, all_102_0_330) = all_145_0_584
% 27.15/6.85 | (450) member(all_89_0_326, all_0_3_3) = all_145_1_585
% 27.15/6.85 | (451) member(all_89_1_327, all_0_4_4) = all_145_2_586
% 27.15/6.85 | (452) ~ (all_145_0_584 = 0) | ~ (all_145_1_585 = 0) | ~ (all_145_2_586 = 0)
% 27.15/6.85 |
% 27.15/6.85 +-Applying beta-rule and splitting (245), into two cases.
% 27.15/6.85 |-Branch one:
% 27.15/6.85 | (259) all_102_0_330 = all_100_0_329
% 27.15/6.85 |
% 27.15/6.85 | Combining equations (255,259) yields a new equation:
% 27.15/6.85 | (260) all_102_0_330 = all_89_0_326
% 27.15/6.85 |
% 27.15/6.85 | Equations (260) can reduce 443 to:
% 27.15/6.85 | (208) $false
% 27.15/6.85 |
% 27.15/6.85 |-The branch is then unsatisfiable
% 27.15/6.85 |-Branch two:
% 27.15/6.85 | (441) ~ (all_102_0_330 = all_100_0_329)
% 27.15/6.85 | (457) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_2_328, all_102_0_330) = v2 & member(all_100_0_329, all_0_3_3) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.85 |
% 27.15/6.85 | Instantiating (457) with all_151_0_587, all_151_1_588, all_151_2_589 yields:
% 27.15/6.86 | (458) apply(all_0_6_6, all_89_2_328, all_102_0_330) = all_151_0_587 & member(all_100_0_329, all_0_3_3) = all_151_1_588 & member(all_89_2_328, all_0_4_4) = all_151_2_589 & ( ~ (all_151_0_587 = 0) | ~ (all_151_1_588 = 0) | ~ (all_151_2_589 = 0))
% 27.15/6.86 |
% 27.15/6.86 | Applying alpha-rule on (458) yields:
% 27.15/6.86 | (459) apply(all_0_6_6, all_89_2_328, all_102_0_330) = all_151_0_587
% 27.15/6.86 | (460) member(all_100_0_329, all_0_3_3) = all_151_1_588
% 27.15/6.86 | (461) member(all_89_2_328, all_0_4_4) = all_151_2_589
% 27.15/6.86 | (462) ~ (all_151_0_587 = 0) | ~ (all_151_1_588 = 0) | ~ (all_151_2_589 = 0)
% 27.15/6.86 |
% 27.15/6.86 | Equations (255) can reduce 441 to:
% 27.15/6.86 | (443) ~ (all_102_0_330 = all_89_0_326)
% 27.15/6.86 |
% 27.15/6.86 | From (255) and (460) follows:
% 27.15/6.86 | (464) member(all_89_0_326, all_0_3_3) = all_151_1_588
% 27.15/6.86 |
% 27.15/6.86 +-Applying beta-rule and splitting (244), into two cases.
% 27.15/6.86 |-Branch one:
% 27.15/6.86 | (260) all_102_0_330 = all_89_0_326
% 27.15/6.86 |
% 27.15/6.86 | Equations (260) can reduce 443 to:
% 27.15/6.86 | (208) $false
% 27.15/6.86 |
% 27.15/6.86 |-The branch is then unsatisfiable
% 27.15/6.86 |-Branch two:
% 27.15/6.86 | (443) ~ (all_102_0_330 = all_89_0_326)
% 27.15/6.86 | (468) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_2_328, all_102_0_330) = v2 & member(all_89_0_326, all_0_3_3) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.86 |
% 27.15/6.86 | Instantiating (468) with all_156_0_590, all_156_1_591, all_156_2_592 yields:
% 27.15/6.86 | (469) apply(all_0_6_6, all_89_2_328, all_102_0_330) = all_156_0_590 & member(all_89_0_326, all_0_3_3) = all_156_1_591 & member(all_89_2_328, all_0_4_4) = all_156_2_592 & ( ~ (all_156_0_590 = 0) | ~ (all_156_1_591 = 0) | ~ (all_156_2_592 = 0))
% 27.15/6.86 |
% 27.15/6.86 | Applying alpha-rule on (469) yields:
% 27.15/6.86 | (470) apply(all_0_6_6, all_89_2_328, all_102_0_330) = all_156_0_590
% 27.15/6.86 | (471) member(all_89_0_326, all_0_3_3) = all_156_1_591
% 27.15/6.86 | (472) member(all_89_2_328, all_0_4_4) = all_156_2_592
% 27.15/6.86 | (473) ~ (all_156_0_590 = 0) | ~ (all_156_1_591 = 0) | ~ (all_156_2_592 = 0)
% 27.15/6.86 |
% 27.15/6.86 | Instantiating formula (9) with all_0_6_6, all_89_1_327, all_102_0_330, all_145_0_584, 0 and discharging atoms apply(all_0_6_6, all_89_1_327, all_102_0_330) = all_145_0_584, apply(all_0_6_6, all_89_1_327, all_102_0_330) = 0, yields:
% 27.15/6.86 | (474) all_145_0_584 = 0
% 27.15/6.86 |
% 27.15/6.86 | Instantiating formula (117) with all_89_0_326, all_0_3_3, all_151_1_588, 0 and discharging atoms member(all_89_0_326, all_0_3_3) = all_151_1_588, member(all_89_0_326, all_0_3_3) = 0, yields:
% 27.15/6.86 | (475) all_151_1_588 = 0
% 27.15/6.86 |
% 27.15/6.86 | Instantiating formula (117) with all_89_0_326, all_0_3_3, all_151_1_588, all_156_1_591 and discharging atoms member(all_89_0_326, all_0_3_3) = all_156_1_591, member(all_89_0_326, all_0_3_3) = all_151_1_588, yields:
% 27.15/6.86 | (476) all_156_1_591 = all_151_1_588
% 27.15/6.86 |
% 27.15/6.86 | Instantiating formula (117) with all_89_0_326, all_0_3_3, all_145_1_585, all_156_1_591 and discharging atoms member(all_89_0_326, all_0_3_3) = all_156_1_591, member(all_89_0_326, all_0_3_3) = all_145_1_585, yields:
% 27.15/6.86 | (477) all_156_1_591 = all_145_1_585
% 27.15/6.86 |
% 27.15/6.86 | Instantiating formula (117) with all_89_1_327, all_0_4_4, all_145_2_586, 0 and discharging atoms member(all_89_1_327, all_0_4_4) = all_145_2_586, member(all_89_1_327, all_0_4_4) = 0, yields:
% 27.15/6.86 | (478) all_145_2_586 = 0
% 27.15/6.86 |
% 27.15/6.86 | Combining equations (476,477) yields a new equation:
% 27.15/6.86 | (479) all_151_1_588 = all_145_1_585
% 27.15/6.86 |
% 27.15/6.86 | Simplifying 479 yields:
% 27.15/6.86 | (480) all_151_1_588 = all_145_1_585
% 27.15/6.86 |
% 27.15/6.86 | Combining equations (480,475) yields a new equation:
% 27.15/6.86 | (481) all_145_1_585 = 0
% 27.15/6.86 |
% 27.15/6.86 | Simplifying 481 yields:
% 27.15/6.86 | (482) all_145_1_585 = 0
% 27.15/6.86 |
% 27.15/6.86 +-Applying beta-rule and splitting (452), into two cases.
% 27.15/6.86 |-Branch one:
% 27.15/6.86 | (483) ~ (all_145_0_584 = 0)
% 27.15/6.86 |
% 27.15/6.86 | Equations (474) can reduce 483 to:
% 27.15/6.86 | (208) $false
% 27.15/6.86 |
% 27.15/6.86 |-The branch is then unsatisfiable
% 27.15/6.86 |-Branch two:
% 27.15/6.86 | (474) all_145_0_584 = 0
% 27.15/6.86 | (486) ~ (all_145_1_585 = 0) | ~ (all_145_2_586 = 0)
% 27.15/6.86 |
% 27.15/6.86 +-Applying beta-rule and splitting (486), into two cases.
% 27.15/6.86 |-Branch one:
% 27.15/6.86 | (487) ~ (all_145_1_585 = 0)
% 27.15/6.86 |
% 27.15/6.86 | Equations (482) can reduce 487 to:
% 27.15/6.86 | (208) $false
% 27.15/6.86 |
% 27.15/6.86 |-The branch is then unsatisfiable
% 27.15/6.86 |-Branch two:
% 27.15/6.86 | (482) all_145_1_585 = 0
% 27.15/6.86 | (490) ~ (all_145_2_586 = 0)
% 27.15/6.86 |
% 27.15/6.86 | Equations (478) can reduce 490 to:
% 27.15/6.86 | (208) $false
% 27.15/6.86 |
% 27.15/6.86 |-The branch is then unsatisfiable
% 27.15/6.86 |-Branch two:
% 27.15/6.86 | (492) ~ (all_100_0_329 = all_89_0_326)
% 27.15/6.86 | (493) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_2_328, all_89_0_326) = v2 & member(all_100_0_329, all_0_3_3) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.86 |
% 27.15/6.86 | Instantiating (493) with all_135_0_610, all_135_1_611, all_135_2_612 yields:
% 27.15/6.86 | (494) apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_135_0_610 & member(all_100_0_329, all_0_3_3) = all_135_1_611 & member(all_89_2_328, all_0_4_4) = all_135_2_612 & ( ~ (all_135_0_610 = 0) | ~ (all_135_1_611 = 0) | ~ (all_135_2_612 = 0))
% 27.15/6.86 |
% 27.15/6.86 | Applying alpha-rule on (494) yields:
% 27.15/6.86 | (495) apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_135_0_610
% 27.15/6.86 | (496) member(all_100_0_329, all_0_3_3) = all_135_1_611
% 27.15/6.86 | (497) member(all_89_2_328, all_0_4_4) = all_135_2_612
% 27.15/6.86 | (498) ~ (all_135_0_610 = 0) | ~ (all_135_1_611 = 0) | ~ (all_135_2_612 = 0)
% 27.15/6.86 |
% 27.15/6.86 +-Applying beta-rule and splitting (247), into two cases.
% 27.15/6.86 |-Branch one:
% 27.15/6.86 | (255) all_100_0_329 = all_89_0_326
% 27.15/6.86 |
% 27.15/6.86 | Equations (255) can reduce 492 to:
% 27.15/6.86 | (208) $false
% 27.15/6.86 |
% 27.15/6.86 |-The branch is then unsatisfiable
% 27.15/6.86 |-Branch two:
% 27.15/6.86 | (492) ~ (all_100_0_329 = all_89_0_326)
% 27.15/6.86 | (502) ? [v0] : ? [v1] : ? [v2] : (apply(all_0_6_6, all_89_2_328, all_100_0_329) = v2 & member(all_89_0_326, all_0_3_3) = v1 & member(all_89_2_328, all_0_4_4) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0)))
% 27.15/6.86 |
% 27.15/6.86 | Instantiating (502) with all_141_0_613, all_141_1_614, all_141_2_615 yields:
% 27.15/6.86 | (503) apply(all_0_6_6, all_89_2_328, all_100_0_329) = all_141_0_613 & member(all_89_0_326, all_0_3_3) = all_141_1_614 & member(all_89_2_328, all_0_4_4) = all_141_2_615 & ( ~ (all_141_0_613 = 0) | ~ (all_141_1_614 = 0) | ~ (all_141_2_615 = 0))
% 27.15/6.86 |
% 27.15/6.86 | Applying alpha-rule on (503) yields:
% 27.15/6.86 | (504) apply(all_0_6_6, all_89_2_328, all_100_0_329) = all_141_0_613
% 27.15/6.86 | (505) member(all_89_0_326, all_0_3_3) = all_141_1_614
% 27.15/6.86 | (506) member(all_89_2_328, all_0_4_4) = all_141_2_615
% 27.15/6.86 | (507) ~ (all_141_0_613 = 0) | ~ (all_141_1_614 = 0) | ~ (all_141_2_615 = 0)
% 27.15/6.86 |
% 27.15/6.86 | Instantiating formula (9) with all_0_6_6, all_89_2_328, all_89_0_326, all_135_0_610, 0 and discharging atoms apply(all_0_6_6, all_89_2_328, all_89_0_326) = all_135_0_610, apply(all_0_6_6, all_89_2_328, all_89_0_326) = 0, yields:
% 27.15/6.86 | (508) all_135_0_610 = 0
% 27.15/6.86 |
% 27.15/6.86 | Instantiating formula (117) with all_100_0_329, all_0_3_3, all_135_1_611, 0 and discharging atoms member(all_100_0_329, all_0_3_3) = all_135_1_611, member(all_100_0_329, all_0_3_3) = 0, yields:
% 27.15/6.86 | (509) all_135_1_611 = 0
% 27.15/6.86 |
% 27.15/6.86 | Instantiating formula (117) with all_89_2_328, all_0_4_4, all_141_2_615, 0 and discharging atoms member(all_89_2_328, all_0_4_4) = all_141_2_615, member(all_89_2_328, all_0_4_4) = 0, yields:
% 27.15/6.86 | (510) all_141_2_615 = 0
% 27.15/6.86 |
% 27.15/6.86 | Instantiating formula (117) with all_89_2_328, all_0_4_4, all_135_2_612, all_141_2_615 and discharging atoms member(all_89_2_328, all_0_4_4) = all_141_2_615, member(all_89_2_328, all_0_4_4) = all_135_2_612, yields:
% 27.15/6.86 | (511) all_141_2_615 = all_135_2_612
% 27.15/6.86 |
% 27.15/6.86 | Combining equations (511,510) yields a new equation:
% 27.15/6.86 | (512) all_135_2_612 = 0
% 27.15/6.86 |
% 27.15/6.86 | Simplifying 512 yields:
% 27.15/6.86 | (513) all_135_2_612 = 0
% 27.15/6.86 |
% 27.15/6.86 +-Applying beta-rule and splitting (498), into two cases.
% 27.15/6.86 |-Branch one:
% 27.15/6.86 | (514) ~ (all_135_0_610 = 0)
% 27.15/6.86 |
% 27.15/6.86 | Equations (508) can reduce 514 to:
% 27.15/6.86 | (208) $false
% 27.15/6.86 |
% 27.15/6.86 |-The branch is then unsatisfiable
% 27.15/6.86 |-Branch two:
% 27.15/6.86 | (508) all_135_0_610 = 0
% 27.15/6.86 | (517) ~ (all_135_1_611 = 0) | ~ (all_135_2_612 = 0)
% 27.15/6.86 |
% 27.15/6.86 +-Applying beta-rule and splitting (517), into two cases.
% 27.15/6.86 |-Branch one:
% 27.15/6.86 | (518) ~ (all_135_1_611 = 0)
% 27.15/6.86 |
% 27.15/6.86 | Equations (509) can reduce 518 to:
% 27.15/6.86 | (208) $false
% 27.15/6.86 |
% 27.15/6.86 |-The branch is then unsatisfiable
% 27.15/6.86 |-Branch two:
% 27.15/6.86 | (509) all_135_1_611 = 0
% 27.15/6.86 | (521) ~ (all_135_2_612 = 0)
% 27.15/6.86 |
% 27.15/6.86 | Equations (513) can reduce 521 to:
% 27.15/6.86 | (208) $false
% 27.15/6.86 |
% 27.15/6.86 |-The branch is then unsatisfiable
% 27.15/6.86 % SZS output end Proof for theBenchmark
% 27.15/6.86
% 27.15/6.87 6319ms
%------------------------------------------------------------------------------