TSTP Solution File: SET728+4 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET728+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:21:40 EDT 2022
% Result : Theorem 21.72s 5.83s
% Output : Proof 70.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET728+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.04/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 09:54:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.61/0.65 ____ _
% 0.61/0.65 ___ / __ \_____(_)___ ________ __________
% 0.61/0.65 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.61/0.65 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.61/0.65 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.61/0.65
% 0.61/0.65 A Theorem Prover for First-Order Logic
% 0.61/0.65 (ePrincess v.1.0)
% 0.61/0.65
% 0.61/0.65 (c) Philipp Rümmer, 2009-2015
% 0.61/0.65 (c) Peter Backeman, 2014-2015
% 0.61/0.65 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.61/0.65 Free software under GNU Lesser General Public License (LGPL).
% 0.61/0.65 Bug reports to peter@backeman.se
% 0.61/0.65
% 0.61/0.65 For more information, visit http://user.uu.se/~petba168/breu/
% 0.61/0.65
% 0.61/0.65 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.71 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.99/1.04 Prover 0: Preprocessing ...
% 3.32/1.39 Prover 0: Warning: ignoring some quantifiers
% 3.32/1.42 Prover 0: Constructing countermodel ...
% 4.63/1.69 Prover 0: gave up
% 4.63/1.70 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.63/1.75 Prover 1: Preprocessing ...
% 6.05/1.99 Prover 1: Constructing countermodel ...
% 18.22/5.00 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 18.62/5.07 Prover 2: Preprocessing ...
% 19.43/5.31 Prover 2: Warning: ignoring some quantifiers
% 19.84/5.32 Prover 2: Constructing countermodel ...
% 21.72/5.83 Prover 2: proved (836ms)
% 21.72/5.83 Prover 1: stopped
% 21.72/5.83
% 21.72/5.83 No countermodel exists, formula is valid
% 21.72/5.83 % SZS status Theorem for theBenchmark
% 21.72/5.83
% 21.72/5.83 Generating proof ... Warning: ignoring some quantifiers
% 69.40/35.59 found it (size 185)
% 69.40/35.59
% 69.40/35.59 % SZS output start Proof for theBenchmark
% 69.40/35.59 Assumed formulas after preprocessing and simplification:
% 69.40/35.59 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = 0) & identity(v6, v4) = 0 & identity(v5, v3) = 0 & equal_maps(v1, v2, v4, v3) = v7 & compose_function(v1, v0, v3, v4, v3) = v5 & compose_function(v0, v2, v4, v3, v4) = v6 & maps(v2, v4, v3) = 0 & maps(v1, v4, v3) = 0 & maps(v0, v3, v4) = 0 & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v14, v16) = v17) | ~ (apply(v10, v13, v15) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v14, v16) = 0) | ~ (apply(v10, v13, v15) = v17) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v16, v14) = v17) | ~ (apply(v10, v13, v15) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v16, v14) = v17) | ~ (apply(v8, v15, v16) = 0) | ~ (member(v13, v9) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v10, v13, v15) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v16, v14) = v17) | ~ (apply(v8, v13, v14) = 0) | ~ (member(v15, v9) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v10, v13, v15) = v18) | ( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v16, v14) = v17) | ~ (member(v15, v9) = 0) | ~ (member(v13, v9) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v10, v13, v15) = v18) | ( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v14, v16) = v17) | ~ (apply(v10, v13, v15) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v14, v16) = v17) | ~ (apply(v8, v15, v16) = 0) | ~ (member(v13, v9) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v10, v13, v15) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v14, v16) = v17) | ~ (apply(v8, v13, v14) = 0) | ~ (member(v15, v9) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v10, v13, v15) = v18) | ( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v14, v16) = v17) | ~ (member(v15, v9) = 0) | ~ (member(v13, v9) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v10, v13, v15) = v18) | ( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (compose_function(v8, v9, v10, v11, v12) = v15) | ~ (apply(v15, v13, v14) = v16) | ~ (apply(v9, v13, v17) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v17, v14) = v18) | ( ~ (v18 = 0) & member(v17, v11) = v18) | ( ~ (v18 = 0) & member(v14, v12) = v18) | ( ~ (v18 = 0) & member(v13, v10) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (compose_function(v8, v9, v10, v11, v12) = v15) | ~ (apply(v15, v13, v14) = v16) | ~ (apply(v8, v17, v14) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v9, v13, v17) = v18) | ( ~ (v18 = 0) & member(v17, v11) = v18) | ( ~ (v18 = 0) & member(v14, v12) = v18) | ( ~ (v18 = 0) & member(v13, v10) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (compose_function(v8, v9, v10, v11, v12) = v15) | ~ (apply(v15, v13, v14) = v16) | ~ (member(v17, v11) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v9, v13, v17) = v18) | ( ~ (v18 = 0) & apply(v8, v17, v14) = v18) | ( ~ (v18 = 0) & member(v14, v12) = v18) | ( ~ (v18 = 0) & member(v13, v10) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (compose_predicate(v8, v9, v10, v11, v12, v13) = 0) | ~ (apply(v10, v14, v17) = 0) | ~ (apply(v8, v14, v15) = v16) | ? [v18] : (( ~ (v18 = 0) & apply(v9, v17, v15) = v18) | ( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v15, v13) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (compose_predicate(v8, v9, v10, v11, v12, v13) = 0) | ~ (apply(v9, v17, v15) = 0) | ~ (apply(v8, v14, v15) = v16) | ? [v18] : (( ~ (v18 = 0) & apply(v10, v14, v17) = v18) | ( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v15, v13) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (compose_predicate(v8, v9, v10, v11, v12, v13) = 0) | ~ (apply(v8, v14, v15) = v16) | ~ (member(v17, v12) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v10, v14, v17) = v18) | ( ~ (v18 = 0) & apply(v9, v17, v15) = v18) | ( ~ (v18 = 0) & member(v15, v13) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v14, v16) = v17) | ~ (apply(v8, v15, v16) = 0) | ~ (member(v13, v9) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | (( ~ (v17 = 0) | (v18 = 0 & apply(v10, v13, v15) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & apply(v10, v13, v15) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v14, v16) = v17) | ~ (apply(v8, v13, v14) = 0) | ~ (member(v15, v9) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18) | (( ~ (v17 = 0) | (v18 = 0 & apply(v10, v13, v15) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & apply(v10, v13, v15) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v12, v14, v16) = v17) | ~ (member(v15, v9) = 0) | ~ (member(v13, v9) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | (( ~ (v17 = 0) | (v18 = 0 & apply(v10, v13, v15) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & apply(v10, v13, v15) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = v17) | ~ (apply(v8, v15, v16) = 0) | ~ (member(v14, v11) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v16, v11) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18) | (( ~ (v17 = 0) | (v18 = 0 & apply(v12, v14, v16) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & apply(v12, v14, v16) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = v17) | ~ (apply(v8, v13, v14) = 0) | ~ (member(v16, v11) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v14, v11) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18) | (( ~ (v17 = 0) | (v18 = 0 & apply(v12, v14, v16) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & apply(v12, v14, v16) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = v17) | ~ (member(v16, v11) = 0) | ~ (member(v14, v11) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v8, v15, v16) = v18) | ( ~ (v18 = 0) & apply(v8, v13, v14) = v18) | ( ~ (v18 = 0) & member(v15, v9) = v18) | ( ~ (v18 = 0) & member(v13, v9) = v18) | (( ~ (v17 = 0) | (v18 = 0 & apply(v12, v14, v16) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & apply(v12, v14, v16) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v15, v16) = 0) | ~ (apply(v8, v13, v14) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | ( ~ (v17 = 0) & member(v14, v11) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17) | (((v18 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17)) & ((v17 = 0 & apply(v10, v13, v15) = 0) | ( ~ (v18 = 0) & apply(v12, v14, v16) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v15, v16) = 0) | ~ (member(v14, v11) = 0) | ~ (member(v13, v9) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & apply(v8, v13, v14) = v17) | ( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | (((v18 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17)) & ((v17 = 0 & apply(v10, v13, v15) = 0) | ( ~ (v18 = 0) & apply(v12, v14, v16) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v13, v14) = 0) | ~ (member(v16, v11) = 0) | ~ (member(v15, v9) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & member(v14, v11) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17) | (((v18 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17)) & ((v17 = 0 & apply(v10, v13, v15) = 0) | ( ~ (v18 = 0) & apply(v12, v14, v16) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | ~ (member(v16, v11) = 0) | ~ (member(v15, v9) = 0) | ~ (member(v14, v11) = 0) | ~ (member(v13, v9) = 0) | ? [v17] : ? [v18] : (( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & apply(v8, v13, v14) = v17) | (((v18 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17)) & ((v17 = 0 & apply(v10, v13, v15) = 0) | ( ~ (v18 = 0) & apply(v12, v14, v16) = v18))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = 0) | ~ (apply(v8, v15, v16) = 0) | ~ (member(v14, v11) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v16, v14) = 0) | ( ~ (v17 = 0) & apply(v8, v13, v14) = v17) | ( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = 0) | ~ (apply(v8, v13, v14) = 0) | ~ (member(v16, v11) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v16, v14) = 0) | ( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | ( ~ (v17 = 0) & member(v14, v11) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = 0) | ~ (member(v16, v11) = 0) | ~ (member(v14, v11) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v16, v14) = 0) | ( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & apply(v8, v13, v14) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v15, v16) = 0) | ~ (apply(v8, v13, v14) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v16, v14) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17) | ( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | ( ~ (v17 = 0) & member(v14, v11) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v15, v16) = 0) | ~ (member(v14, v11) = 0) | ~ (member(v13, v9) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v16, v14) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17) | ( ~ (v17 = 0) & apply(v8, v13, v14) = v17) | ( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v13, v14) = 0) | ~ (member(v16, v11) = 0) | ~ (member(v15, v9) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v16, v14) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17) | ( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & member(v14, v11) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (decreasing(v8, v9, v10, v11, v12) = 0) | ~ (member(v16, v11) = 0) | ~ (member(v15, v9) = 0) | ~ (member(v14, v11) = 0) | ~ (member(v13, v9) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v16, v14) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17) | ( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & apply(v8, v13, v14) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = 0) | ~ (apply(v8, v15, v16) = 0) | ~ (member(v14, v11) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v8, v13, v14) = v17) | ( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = 0) | ~ (apply(v8, v13, v14) = 0) | ~ (member(v16, v11) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | ( ~ (v17 = 0) & member(v14, v11) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = 0) | ~ (member(v16, v11) = 0) | ~ (member(v14, v11) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & apply(v8, v13, v14) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v15, v16) = 0) | ~ (apply(v8, v13, v14) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17) | ( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17) | ( ~ (v17 = 0) & member(v14, v11) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v15, v16) = 0) | ~ (member(v14, v11) = 0) | ~ (member(v13, v9) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17) | ( ~ (v17 = 0) & apply(v8, v13, v14) = v17) | ( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v15, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (apply(v8, v13, v14) = 0) | ~ (member(v16, v11) = 0) | ~ (member(v15, v9) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17) | ( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & member(v14, v11) = v17) | ( ~ (v17 = 0) & member(v13, v9) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (increasing(v8, v9, v10, v11, v12) = 0) | ~ (member(v16, v11) = 0) | ~ (member(v15, v9) = 0) | ~ (member(v14, v11) = 0) | ~ (member(v13, v9) = 0) | ? [v17] : ((v17 = 0 & apply(v12, v14, v16) = 0) | ( ~ (v17 = 0) & apply(v10, v13, v15) = v17) | ( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ~ (v17 = 0) & apply(v8, v13, v14) = v17))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v9 = v8 | ~ (compose_predicate(v15, v14, v13, v12, v11, v10) = v9) | ~ (compose_predicate(v15, v14, v13, v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (compose_function(v8, v9, v10, v11, v12) = v15) | ~ (apply(v15, v13, v14) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = 0 & v18 = 0 & v17 = 0 & apply(v9, v13, v16) = 0 & apply(v8, v16, v14) = 0 & member(v16, v11) = 0) | ( ~ (v16 = 0) & member(v14, v12) = v16) | ( ~ (v16 = 0) & member(v13, v10) = v16))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (compose_predicate(v8, v9, v10, v11, v12, v13) = 0) | ~ (apply(v8, v14, v15) = 0) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = 0 & v18 = 0 & v17 = 0 & apply(v10, v14, v16) = 0 & apply(v9, v16, v15) = 0 & member(v16, v12) = 0) | ( ~ (v16 = 0) & member(v15, v13) = v16) | ( ~ (v16 = 0) & member(v14, v11) = v16))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (equal_maps(v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (apply(v8, v12, v13) = 0) | ? [v15] : (( ~ (v15 = 0) & member(v14, v11) = v15) | ( ~ (v15 = 0) & member(v13, v11) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (equal_maps(v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v14) = 0) | ~ (member(v13, v11) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v8, v12, v13) = v15) | ( ~ (v15 = 0) & member(v14, v11) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (equal_maps(v8, v9, v10, v11) = 0) | ~ (apply(v8, v12, v13) = 0) | ~ (member(v14, v11) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v9, v12, v14) = v15) | ( ~ (v15 = 0) & member(v13, v11) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = v13 | ~ (equal_maps(v8, v9, v10, v11) = 0) | ~ (member(v14, v11) = 0) | ~ (member(v13, v11) = 0) | ~ (member(v12, v10) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v9, v12, v14) = v15) | ( ~ (v15 = 0) & apply(v8, v12, v13) = v15))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (compose_predicate(v8, v9, v10, v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (member(v16, v13) = 0 & member(v15, v11) = 0 & ((v21 = 0 & v20 = 0 & v19 = 0 & apply(v10, v15, v18) = 0 & apply(v9, v18, v16) = 0 & member(v18, v12) = 0) | (v17 = 0 & apply(v8, v15, v16) = 0)) & (( ~ (v17 = 0) & apply(v8, v15, v16) = v17) | ( ! [v22] : ( ~ (apply(v10, v15, v22) = 0) | ? [v23] : (( ~ (v23 = 0) & apply(v9, v22, v16) = v23) | ( ~ (v23 = 0) & member(v22, v12) = v23))) & ! [v22] : ( ~ (apply(v9, v22, v16) = 0) | ? [v23] : (( ~ (v23 = 0) & apply(v10, v15, v22) = v23) | ( ~ (v23 = 0) & member(v22, v12) = v23))) & ! [v22] : ( ~ (member(v22, v12) = 0) | ? [v23] : (( ~ (v23 = 0) & apply(v10, v15, v22) = v23) | ( ~ (v23 = 0) & apply(v9, v22, v16) = v23))))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (inverse_image3(v8, v9, v10) = v12) | ~ (apply(v8, v11, v14) = 0) | ~ (member(v11, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v11, v10) = v15))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (inverse_image3(v8, v9, v10) = v12) | ~ (member(v14, v9) = 0) | ~ (member(v11, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & apply(v8, v11, v14) = v15) | ( ~ (v15 = 0) & member(v11, v10) = v15))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (image3(v8, v9, v10) = v12) | ~ (apply(v8, v14, v11) = 0) | ~ (member(v11, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v11, v10) = v15))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (image3(v8, v9, v10) = v12) | ~ (member(v14, v9) = 0) | ~ (member(v11, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & apply(v8, v14, v11) = v15) | ( ~ (v15 = 0) & member(v11, v10) = v15))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v9 = v8 | ~ (isomorphism(v14, v13, v12, v11, v10) = v9) | ~ (isomorphism(v14, v13, v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v9 = v8 | ~ (decreasing(v14, v13, v12, v11, v10) = v9) | ~ (decreasing(v14, v13, v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v9 = v8 | ~ (increasing(v14, v13, v12, v11, v10) = v9) | ~ (increasing(v14, v13, v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v9 = v8 | ~ (compose_function(v14, v13, v12, v11, v10) = v9) | ~ (compose_function(v14, v13, v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (inverse_function(v8, v9, v10) = v13) | ~ (apply(v13, v12, v11) = v14) | ? [v15] : (( ~ (v15 = 0) & member(v12, v10) = v15) | ( ~ (v15 = 0) & member(v11, v9) = v15) | (( ~ (v14 = 0) | (v15 = 0 & apply(v8, v11, v12) = 0)) & (v14 = 0 | ( ~ (v15 = 0) & apply(v8, v11, v12) = v15))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (inverse_predicate(v8, v9, v10, v11) = 0) | ~ (apply(v9, v12, v13) = v14) | ? [v15] : (( ~ (v15 = 0) & member(v13, v11) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15) | (( ~ (v14 = 0) | (v15 = 0 & apply(v8, v13, v12) = 0)) & (v14 = 0 | ( ~ (v15 = 0) & apply(v8, v13, v12) = v15))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (inverse_predicate(v8, v9, v10, v11) = 0) | ~ (apply(v8, v13, v12) = v14) | ? [v15] : (( ~ (v15 = 0) & member(v13, v11) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15) | (( ~ (v14 = 0) | (v15 = 0 & apply(v9, v12, v13) = 0)) & (v14 = 0 | ( ~ (v15 = 0) & apply(v9, v12, v13) = v15))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (maps(v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (apply(v8, v11, v12) = 0) | ? [v14] : (( ~ (v14 = 0) & member(v13, v10) = v14) | ( ~ (v14 = 0) & member(v12, v10) = v14) | ( ~ (v14 = 0) & member(v11, v9) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (maps(v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (member(v12, v10) = 0) | ? [v14] : (( ~ (v14 = 0) & apply(v8, v11, v12) = v14) | ( ~ (v14 = 0) & member(v13, v10) = v14) | ( ~ (v14 = 0) & member(v11, v9) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (maps(v8, v9, v10) = 0) | ~ (apply(v8, v11, v12) = 0) | ~ (member(v13, v10) = 0) | ? [v14] : (( ~ (v14 = 0) & apply(v8, v11, v13) = v14) | ( ~ (v14 = 0) & member(v12, v10) = v14) | ( ~ (v14 = 0) & member(v11, v9) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = v12 | ~ (maps(v8, v9, v10) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v10) = 0) | ~ (member(v11, v9) = 0) | ? [v14] : (( ~ (v14 = 0) & apply(v8, v11, v13) = v14) | ( ~ (v14 = 0) & apply(v8, v11, v12) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (isomorphism(v8, v9, v10, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ((v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & apply(v8, v16, v17) = 0 & apply(v8, v14, v15) = 0 & member(v17, v11) = 0 & member(v16, v9) = 0 & member(v15, v11) = 0 & member(v14, v9) = 0 & ((v25 = 0 & apply(v12, v15, v17) = 0) | (v24 = 0 & apply(v10, v14, v16) = 0)) & (( ~ (v25 = 0) & apply(v12, v15, v17) = v25) | ( ~ (v24 = 0) & apply(v10, v14, v16) = v24))) | ( ~ (v14 = 0) & one_to_one(v8, v9, v11) = v14) | ( ~ (v14 = 0) & maps(v8, v9, v11) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (decreasing(v8, v9, v10, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = 0) & apply(v12, v17, v15) = v18 & apply(v10, v14, v16) = 0 & apply(v8, v16, v17) = 0 & apply(v8, v14, v15) = 0 & member(v17, v11) = 0 & member(v16, v9) = 0 & member(v15, v11) = 0 & member(v14, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (increasing(v8, v9, v10, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = 0) & apply(v12, v15, v17) = v18 & apply(v10, v14, v16) = 0 & apply(v8, v16, v17) = 0 & apply(v8, v14, v15) = 0 & member(v17, v11) = 0 & member(v16, v9) = 0 & member(v15, v11) = 0 & member(v14, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (injective(v8, v9, v10) = 0) | ~ (apply(v8, v12, v13) = 0) | ~ (apply(v8, v11, v13) = 0) | ? [v14] : (( ~ (v14 = 0) & member(v13, v10) = v14) | ( ~ (v14 = 0) & member(v12, v9) = v14) | ( ~ (v14 = 0) & member(v11, v9) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (injective(v8, v9, v10) = 0) | ~ (apply(v8, v12, v13) = 0) | ~ (member(v11, v9) = 0) | ? [v14] : (( ~ (v14 = 0) & apply(v8, v11, v13) = v14) | ( ~ (v14 = 0) & member(v13, v10) = v14) | ( ~ (v14 = 0) & member(v12, v9) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (injective(v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (member(v12, v9) = 0) | ? [v14] : (( ~ (v14 = 0) & apply(v8, v12, v13) = v14) | ( ~ (v14 = 0) & member(v13, v10) = v14) | ( ~ (v14 = 0) & member(v11, v9) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (injective(v8, v9, v10) = 0) | ~ (member(v13, v10) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v9) = 0) | ? [v14] : (( ~ (v14 = 0) & apply(v8, v12, v13) = v14) | ( ~ (v14 = 0) & apply(v8, v11, v13) = v14))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (inverse_image2(v8, v9) = v11) | ~ (apply(v8, v10, v13) = 0) | ~ (member(v10, v11) = v12) | ? [v14] : ( ~ (v14 = 0) & member(v13, v9) = v14)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (inverse_image2(v8, v9) = v11) | ~ (member(v13, v9) = 0) | ~ (member(v10, v11) = v12) | ? [v14] : ( ~ (v14 = 0) & apply(v8, v10, v13) = v14)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (image2(v8, v9) = v11) | ~ (apply(v8, v13, v10) = 0) | ~ (member(v10, v11) = v12) | ? [v14] : ( ~ (v14 = 0) & member(v13, v9) = v14)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = 0 | ~ (image2(v8, v9) = v11) | ~ (member(v13, v9) = 0) | ~ (member(v10, v11) = v12) | ? [v14] : ( ~ (v14 = 0) & apply(v8, v13, v10) = v14)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v9 = v8 | ~ (inverse_predicate(v13, v12, v11, v10) = v9) | ~ (inverse_predicate(v13, v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v9 = v8 | ~ (equal_maps(v13, v12, v11, v10) = v9) | ~ (equal_maps(v13, v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (inverse_predicate(v8, v9, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : (member(v14, v11) = 0 & member(v13, v10) = 0 & ((v16 = 0 & apply(v8, v14, v13) = 0) | (v15 = 0 & apply(v9, v13, v14) = 0)) & (( ~ (v16 = 0) & apply(v8, v14, v13) = v16) | ( ~ (v15 = 0) & apply(v9, v13, v14) = v15)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (equal_maps(v8, v9, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = v14) & apply(v9, v13, v15) = 0 & apply(v8, v13, v14) = 0 & member(v15, v11) = 0 & member(v14, v11) = 0 & member(v13, v10) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (product(v9) = v10) | ~ (member(v8, v11) = v12) | ~ (member(v8, v10) = 0) | ? [v13] : ( ~ (v13 = 0) & member(v11, v9) = v13)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (difference(v10, v9) = v11) | ~ (member(v8, v11) = v12) | ? [v13] : ((v13 = 0 & member(v8, v9) = 0) | ( ~ (v13 = 0) & member(v8, v10) = v13))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (union(v9, v10) = v11) | ~ (member(v8, v11) = v12) | ? [v13] : ? [v14] : ( ~ (v14 = 0) & ~ (v13 = 0) & member(v8, v10) = v14 & member(v8, v9) = v13)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (intersection(v9, v10) = v11) | ~ (member(v8, v11) = v12) | ? [v13] : (( ~ (v13 = 0) & member(v8, v10) = v13) | ( ~ (v13 = 0) & member(v8, v9) = v13))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (sum(v9) = v10) | ~ (member(v12, v9) = 0) | ~ (member(v8, v10) = v11) | ? [v13] : ( ~ (v13 = 0) & member(v8, v12) = v13)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (sum(v9) = v10) | ~ (member(v8, v12) = 0) | ~ (member(v8, v10) = v11) | ? [v13] : ( ~ (v13 = 0) & member(v12, v9) = v13)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (inverse_image3(v12, v11, v10) = v9) | ~ (inverse_image3(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (image3(v12, v11, v10) = v9) | ~ (image3(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (inverse_function(v12, v11, v10) = v9) | ~ (inverse_function(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (one_to_one(v12, v11, v10) = v9) | ~ (one_to_one(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (surjective(v12, v11, v10) = v9) | ~ (surjective(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (injective(v12, v11, v10) = v9) | ~ (injective(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (maps(v12, v11, v10) = v9) | ~ (maps(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v8 | ~ (apply(v12, v11, v10) = v9) | ~ (apply(v12, v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (isomorphism(v8, v9, v10, v11, v12) = 0) | (one_to_one(v8, v9, v11) = 0 & maps(v8, v9, v11) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (inverse_image3(v8, v9, v10) = v12) | ~ (member(v11, v12) = 0) | member(v11, v10) = 0) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (inverse_image3(v8, v9, v10) = v12) | ~ (member(v11, v12) = 0) | ? [v13] : (apply(v8, v11, v13) = 0 & member(v13, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (image3(v8, v9, v10) = v12) | ~ (member(v11, v12) = 0) | member(v11, v10) = 0) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (image3(v8, v9, v10) = v12) | ~ (member(v11, v12) = 0) | ? [v13] : (apply(v8, v13, v11) = 0 & member(v13, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (one_to_one(v8, v9, v10) = v11) | ? [v12] : (( ~ (v12 = 0) & surjective(v8, v9, v10) = v12) | ( ~ (v12 = 0) & injective(v8, v9, v10) = v12))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (surjective(v8, v9, v10) = v11) | ? [v12] : (member(v12, v10) = 0 & ! [v13] : ( ~ (apply(v8, v13, v12) = 0) | ? [v14] : ( ~ (v14 = 0) & member(v13, v9) = v14)) & ! [v13] : ( ~ (member(v13, v9) = 0) | ? [v14] : ( ~ (v14 = 0) & apply(v8, v13, v12) = v14)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (injective(v8, v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ( ~ (v13 = v12) & apply(v8, v13, v14) = 0 & apply(v8, v12, v14) = 0 & member(v14, v10) = 0 & member(v13, v9) = 0 & member(v12, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (identity(v8, v9) = 0) | ~ (apply(v8, v10, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & member(v10, v9) = v12)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (maps(v8, v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ((v19 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & v15 = 0 & ~ (v14 = v13) & apply(v8, v12, v14) = 0 & apply(v8, v12, v13) = 0 & member(v14, v10) = 0 & member(v13, v10) = 0 & member(v12, v9) = 0) | (v13 = 0 & member(v12, v9) = 0 & ! [v20] : ( ~ (apply(v8, v12, v20) = 0) | ? [v21] : ( ~ (v21 = 0) & member(v20, v10) = v21)) & ! [v20] : ( ~ (member(v20, v10) = 0) | ? [v21] : ( ~ (v21 = 0) & apply(v8, v12, v20) = v21))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (product(v9) = v10) | ~ (member(v8, v10) = v11) | ? [v12] : ? [v13] : ( ~ (v13 = 0) & member(v12, v9) = 0 & member(v8, v12) = v13)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (unordered_pair(v9, v8) = v10) | ~ (member(v8, v10) = v11)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (unordered_pair(v8, v9) = v10) | ~ (member(v8, v10) = v11)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (power_set(v9) = v10) | ~ (member(v8, v10) = v11) | ? [v12] : ( ~ (v12 = 0) & subset(v8, v9) = v12)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (subset(v8, v9) = 0) | ~ (member(v10, v9) = v11) | ? [v12] : ( ~ (v12 = 0) & member(v10, v8) = v12)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = v8 | v9 = v8 | ~ (unordered_pair(v9, v10) = v11) | ~ (member(v8, v11) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (inverse_image2(v11, v10) = v9) | ~ (inverse_image2(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (image2(v11, v10) = v9) | ~ (image2(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (identity(v11, v10) = v9) | ~ (identity(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (unordered_pair(v11, v10) = v9) | ~ (unordered_pair(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (difference(v11, v10) = v9) | ~ (difference(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (union(v11, v10) = v9) | ~ (union(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (intersection(v11, v10) = v9) | ~ (intersection(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (equal_set(v11, v10) = v9) | ~ (equal_set(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (subset(v11, v10) = v9) | ~ (subset(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (member(v11, v10) = v9) | ~ (member(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (inverse_image2(v8, v9) = v11) | ~ (member(v10, v11) = 0) | ? [v12] : (apply(v8, v10, v12) = 0 & member(v12, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (image2(v8, v9) = v11) | ~ (member(v10, v11) = 0) | ? [v12] : (apply(v8, v12, v10) = 0 & member(v12, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (surjective(v8, v9, v10) = v11) | ? [v12] : ((v12 = 0 & v11 = 0 & injective(v8, v9, v10) = 0) | ( ~ (v12 = 0) & one_to_one(v8, v9, v10) = v12))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (surjective(v8, v9, v10) = 0) | ~ (member(v11, v10) = 0) | ? [v12] : (apply(v8, v12, v11) = 0 & member(v12, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (injective(v8, v9, v10) = v11) | ? [v12] : ((v12 = 0 & v11 = 0 & surjective(v8, v9, v10) = 0) | ( ~ (v12 = 0) & one_to_one(v8, v9, v10) = v12))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (maps(v8, v9, v10) = 0) | ~ (member(v11, v9) = 0) | ? [v12] : (apply(v8, v11, v12) = 0 & member(v12, v10) = 0)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (product(v9) = v10) | ~ (member(v11, v9) = 0) | ~ (member(v8, v10) = 0) | member(v8, v11) = 0) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (difference(v10, v9) = v11) | ~ (member(v8, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & member(v8, v10) = 0 & member(v8, v9) = v12)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (union(v9, v10) = v11) | ~ (member(v8, v11) = 0) | ? [v12] : ((v12 = 0 & member(v8, v10) = 0) | (v12 = 0 & member(v8, v9) = 0))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (intersection(v9, v10) = v11) | ~ (member(v8, v11) = 0) | (member(v8, v10) = 0 & member(v8, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (identity(v8, v9) = v10) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & apply(v8, v11, v11) = v12 & member(v11, v9) = 0)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (singleton(v8) = v9) | ~ (member(v8, v9) = v10)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (equal_set(v8, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & subset(v9, v8) = v11) | ( ~ (v11 = 0) & subset(v8, v9) = v11))) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (subset(v8, v9) = v10) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & power_set(v9) = v11 & member(v8, v11) = v12)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (subset(v8, v9) = v10) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & member(v11, v9) = v12 & member(v11, v8) = 0)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (product(v10) = v9) | ~ (product(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (sum(v10) = v9) | ~ (sum(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (singleton(v10) = v9) | ~ (singleton(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (singleton(v9) = v10) | ~ (member(v8, v10) = 0)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (power_set(v10) = v9) | ~ (power_set(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (one_to_one(v8, v9, v10) = 0) | (surjective(v8, v9, v10) = 0 & injective(v8, v9, v10) = 0)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (surjective(v8, v9, v10) = 0) | ? [v11] : ((v11 = 0 & one_to_one(v8, v9, v10) = 0) | ( ~ (v11 = 0) & injective(v8, v9, v10) = v11))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (injective(v8, v9, v10) = 0) | ? [v11] : ((v11 = 0 & one_to_one(v8, v9, v10) = 0) | ( ~ (v11 = 0) & surjective(v8, v9, v10) = v11))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (identity(v8, v9) = 0) | ~ (member(v10, v9) = 0) | apply(v8, v10, v10) = 0) & ! [v8] : ! [v9] : ! [v10] : ( ~ (sum(v9) = v10) | ~ (member(v8, v10) = 0) | ? [v11] : (member(v11, v9) = 0 & member(v8, v11) = 0)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (power_set(v9) = v10) | ~ (member(v8, v10) = 0) | subset(v8, v9) = 0) & ! [v8] : ! [v9] : ! [v10] : ( ~ (subset(v9, v8) = v10) | ? [v11] : ((v11 = 0 & v10 = 0 & subset(v8, v9) = 0) | ( ~ (v11 = 0) & equal_set(v8, v9) = v11))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (subset(v8, v9) = v10) | ? [v11] : ((v11 = 0 & v10 = 0 & subset(v9, v8) = 0) | ( ~ (v11 = 0) & equal_set(v8, v9) = v11))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (subset(v8, v9) = 0) | ~ (member(v10, v8) = 0) | member(v10, v9) = 0) & ! [v8] : ! [v9] : ( ~ (equal_set(v8, v9) = 0) | (subset(v9, v8) = 0 & subset(v8, v9) = 0)) & ! [v8] : ! [v9] : ( ~ (subset(v9, v8) = 0) | ? [v10] : ((v10 = 0 & equal_set(v8, v9) = 0) | ( ~ (v10 = 0) & subset(v8, v9) = v10))) & ! [v8] : ! [v9] : ( ~ (subset(v8, v9) = 0) | ? [v10] : (power_set(v9) = v10 & member(v8, v10) = 0)) & ! [v8] : ! [v9] : ( ~ (subset(v8, v9) = 0) | ? [v10] : ((v10 = 0 & equal_set(v8, v9) = 0) | ( ~ (v10 = 0) & subset(v9, v8) = v10))) & ! [v8] : ~ (member(v8, empty_set) = 0) & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : compose_predicate(v13, v12, v11, v10, v9, v8) = v14 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : isomorphism(v12, v11, v10, v9, v8) = v13 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : decreasing(v12, v11, v10, v9, v8) = v13 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : increasing(v12, v11, v10, v9, v8) = v13 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : compose_function(v12, v11, v10, v9, v8) = v13 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : inverse_predicate(v11, v10, v9, v8) = v12 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : equal_maps(v11, v10, v9, v8) = v12 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : inverse_image3(v10, v9, v8) = v11 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : image3(v10, v9, v8) = v11 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : inverse_function(v10, v9, v8) = v11 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : one_to_one(v10, v9, v8) = v11 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : surjective(v10, v9, v8) = v11 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : injective(v10, v9, v8) = v11 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : maps(v10, v9, v8) = v11 & ? [v8] : ? [v9] : ? [v10] : ? [v11] : apply(v10, v9, v8) = v11 & ? [v8] : ? [v9] : ? [v10] : inverse_image2(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : image2(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : identity(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : unordered_pair(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : difference(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : union(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : intersection(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : equal_set(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : subset(v9, v8) = v10 & ? [v8] : ? [v9] : ? [v10] : member(v9, v8) = v10 & ? [v8] : ? [v9] : product(v8) = v9 & ? [v8] : ? [v9] : sum(v8) = v9 & ? [v8] : ? [v9] : singleton(v8) = v9 & ? [v8] : ? [v9] : power_set(v8) = v9)
% 70.07/35.71 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 yields:
% 70.07/35.71 | (1) ~ (all_0_0_0 = 0) & identity(all_0_1_1, all_0_3_3) = 0 & identity(all_0_2_2, all_0_4_4) = 0 & equal_maps(all_0_6_6, all_0_5_5, all_0_3_3, all_0_4_4) = all_0_0_0 & compose_function(all_0_6_6, all_0_7_7, all_0_4_4, all_0_3_3, all_0_4_4) = all_0_2_2 & compose_function(all_0_7_7, all_0_5_5, all_0_3_3, all_0_4_4, all_0_3_3) = all_0_1_1 & maps(all_0_5_5, all_0_3_3, all_0_4_4) = 0 & maps(all_0_6_6, all_0_3_3, all_0_4_4) = 0 & maps(all_0_7_7, 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] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = 0) | ~ (apply(v2, v5, v7) = v9) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v1, v5, v9) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (member(v9, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v2, v6, v9) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v1, v9, v7) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = v8) | ~ (member(v9, v4) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v1, v5, v8) = 0 & apply(v0, v8, v6) = 0 & member(v8, v3) = 0) | ( ~ (v8 = 0) & member(v6, v4) = v8) | ( ~ (v8 = 0) & member(v5, v2) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v2, v6, v8) = 0 & apply(v1, v8, v7) = 0 & member(v8, v4) = 0) | ( ~ (v8 = 0) & member(v7, v5) = v8) | ( ~ (v8 = 0) & member(v6, v3) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ? [v7] : (( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (member(v5, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v4, v5) = v7) | ( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v6, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v3) = 0) | ~ (member(v4, v2) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & apply(v0, v4, v5) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (member(v8, v5) = 0 & member(v7, v3) = 0 & ((v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0) | (v9 = 0 & apply(v0, v7, v8) = 0)) & (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ! [v14] : ( ~ (apply(v2, v7, v14) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v1, v14, v8) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (member(v14, v4) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & apply(v1, v14, v8) = v15))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (apply(v0, v3, v6) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v3, v6) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (apply(v0, v6, v3) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v6, v3) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~ (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, v4, v3) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v4, v2) = v7) | ( ~ (v7 = 0) & member(v3, v1) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v3, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v3, v4) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v5) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v5, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v5, v4) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v1, v4, v5) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v1, v4, v5) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v4) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ (member(v5, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v4) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & ((v17 = 0 & apply(v4, v7, v9) = 0) | (v16 = 0 & apply(v2, v6, v8) = 0)) & (( ~ (v17 = 0) & apply(v4, v7, v9) = v17) | ( ~ (v16 = 0) & apply(v2, v6, v8) = v16))) | ( ~ (v6 = 0) & one_to_one(v0, v1, v3) = v6) | ( ~ (v6 = 0) & maps(v0, v1, v3) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v9, v7) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v7, v9) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (apply(v0, v3, v5) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v1) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v5) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (apply(v0, v2, v5) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v2, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (apply(v0, v5, v2) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (inverse_predicate(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (member(v6, v3) = 0 & member(v5, v2) = 0 & ((v8 = 0 & apply(v0, v6, v5) = 0) | (v7 = 0 & apply(v1, v5, v6) = 0)) & (( ~ (v8 = 0) & apply(v0, v6, v5) = v8) | ( ~ (v7 = 0) & apply(v1, v5, v6) = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 & member(v7, v3) = 0 & member(v6, v3) = 0 & member(v5, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v3) = v4) | ~ (member(v0, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & member(v3, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ((v5 = 0 & member(v0, v1) = 0) | ( ~ (v5 = 0) & member(v0, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v0, v2) = v6 & member(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : (( ~ (v5 = 0) & member(v0, v2) = v5) | ( ~ (v5 = 0) & member(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v4, v1) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v0, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v0, v4) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v3, v5) = 0 & member(v5, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (one_to_one(v0, v1, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & surjective(v0, v1, v2) = v4) | ( ~ (v4 = 0) & injective(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (surjective(v0, v1, v2) = v3) | ? [v4] : (member(v4, v2) = 0 & ! [v5] : ( ~ (apply(v0, v5, v4) = 0) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v5] : ( ~ (member(v5, v1) = 0) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v4) = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (injective(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v5 = v4) & apply(v0, v5, v6) = 0 & apply(v0, v4, v6) = 0 & member(v6, v2) = 0 & member(v5, v1) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (maps(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v4, v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v2) = 0 & member(v5, v2) = 0 & member(v4, v1) = 0) | (v5 = 0 & member(v4, v1) = 0 & ! [v12] : ( ~ (apply(v0, v4, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & member(v12, v2) = v13)) & ! [v12] : ( ~ (member(v12, v2) = 0) | ? [v13] : ( ~ (v13 = 0) & apply(v0, v4, v12) = v13))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = 0 & member(v0, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & injective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (injective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & surjective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ((v4 = 0 & member(v0, v2) = 0) | (v4 = 0 & member(v0, v1) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & subset(v1, v0) = v3) | ( ~ (v3 = 0) & subset(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (surjective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & injective(v0, v1, v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (injective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & surjective(v0, v1, v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v0, v1) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v1, v0) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) & ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v0, v1) = v2))) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v1, v0) = v2))) & ! [v0] : ~ (member(v0, empty_set) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : compose_predicate(v5, v4, v3, v2, v1, v0) = v6 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : isomorphism(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : decreasing(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : increasing(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : compose_function(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : inverse_predicate(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : equal_maps(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_image3(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : image3(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_function(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : one_to_one(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : surjective(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : injective(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : maps(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : apply(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : inverse_image2(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : image2(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : identity(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : unordered_pair(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : difference(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : union(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : intersection(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : equal_set(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : member(v1, v0) = v2 & ? [v0] : ? [v1] : product(v0) = v1 & ? [v0] : ? [v1] : sum(v0) = v1 & ? [v0] : ? [v1] : singleton(v0) = v1 & ? [v0] : ? [v1] : power_set(v0) = v1
% 70.07/35.76 |
% 70.07/35.76 | Applying alpha-rule on (1) yields:
% 70.07/35.76 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 70.07/35.76 | (3) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0))
% 70.07/35.76 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.07/35.77 | (5) ! [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)))
% 70.07/35.77 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v1, v4, v5) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v1, v4, v5) = v7)))))
% 70.07/35.77 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0))
% 70.07/35.77 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, v4, v3) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v4, v2) = v7) | ( ~ (v7 = 0) & member(v3, v1) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v3, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v3, v4) = v7)))))
% 70.07/35.77 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v2, v6, v8) = 0 & apply(v1, v8, v7) = 0 & member(v8, v4) = 0) | ( ~ (v8 = 0) & member(v7, v5) = v8) | ( ~ (v8 = 0) & member(v6, v3) = v8)))
% 70.07/35.77 | (10) ? [v0] : ? [v1] : ? [v2] : image2(v1, v0) = v2
% 70.07/35.77 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0))
% 70.07/35.77 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0)
% 70.07/35.77 | (13) ? [v0] : ? [v1] : ? [v2] : ? [v3] : one_to_one(v2, v1, v0) = v3
% 70.07/35.77 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.07/35.77 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9)))
% 70.07/35.77 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (member(v9, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10)))
% 70.07/35.77 | (17) equal_maps(all_0_6_6, all_0_5_5, all_0_3_3, all_0_4_4) = all_0_0_0
% 70.07/35.77 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.07/35.77 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9)))
% 70.46/35.77 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.46/35.77 | (21) ! [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))
% 70.46/35.77 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0))
% 70.46/35.77 | (23) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : compose_predicate(v5, v4, v3, v2, v1, v0) = v6
% 70.46/35.77 | (24) ~ (all_0_0_0 = 0)
% 70.46/35.77 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0))
% 70.46/35.77 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 70.46/35.77 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v0, v1) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3)))
% 70.46/35.77 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0))
% 70.46/35.77 | (29) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & subset(v1, v0) = v3) | ( ~ (v3 = 0) & subset(v0, v1) = v3)))
% 70.46/35.77 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6)))
% 70.46/35.77 | (31) identity(all_0_2_2, all_0_4_4) = 0
% 70.46/35.77 | (32) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : isomorphism(v4, v3, v2, v1, v0) = v5
% 70.46/35.77 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0))
% 70.46/35.77 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9)))
% 70.46/35.77 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v1, v5, v9) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10)))
% 70.46/35.77 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0))
% 70.46/35.77 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10)))))
% 70.48/35.78 | (38) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : decreasing(v4, v3, v2, v1, v0) = v5
% 70.48/35.78 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3))
% 70.48/35.78 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.48/35.78 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0))
% 70.48/35.78 | (42) maps(all_0_6_6, all_0_3_3, all_0_4_4) = 0
% 70.48/35.78 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10)))))
% 70.48/35.78 | (44) ! [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))
% 70.48/35.78 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0))
% 70.48/35.78 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (member(v5, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v4, v5) = v7) | ( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7)))
% 70.48/35.78 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ((v5 = 0 & member(v0, v1) = 0) | ( ~ (v5 = 0) & member(v0, v2) = v5)))
% 70.48/35.78 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (apply(v0, v3, v5) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 70.48/35.78 | (49) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : increasing(v4, v3, v2, v1, v0) = v5
% 70.48/35.78 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4))
% 70.48/35.78 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0))
% 70.48/35.78 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0))
% 70.48/35.78 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v3) = 0) | ~ (member(v4, v2) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & apply(v0, v4, v5) = v7)))
% 70.48/35.78 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0)
% 70.48/35.78 | (55) ! [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))
% 70.48/35.78 | (56) ! [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))))
% 70.48/35.78 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 70.48/35.78 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v2, v6, v9) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 70.48/35.78 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10)))))
% 70.48/35.78 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4))
% 70.48/35.78 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v1) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v5) = v6)))
% 70.48/35.78 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 70.48/35.78 | (63) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_function(v2, v1, v0) = v3
% 70.48/35.78 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (one_to_one(v0, v1, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & surjective(v0, v1, v2) = v4) | ( ~ (v4 = 0) & injective(v0, v1, v2) = v4)))
% 70.48/35.78 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0))
% 70.48/35.78 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0))
% 70.48/35.78 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : (( ~ (v5 = 0) & member(v0, v2) = v5) | ( ~ (v5 = 0) & member(v0, v1) = v5)))
% 70.48/35.78 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & ((v17 = 0 & apply(v4, v7, v9) = 0) | (v16 = 0 & apply(v2, v6, v8) = 0)) & (( ~ (v17 = 0) & apply(v4, v7, v9) = v17) | ( ~ (v16 = 0) & apply(v2, v6, v8) = v16))) | ( ~ (v6 = 0) & one_to_one(v0, v1, v3) = v6) | ( ~ (v6 = 0) & maps(v0, v1, v3) = v6)))
% 70.48/35.78 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = v8) | ~ (member(v9, v4) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 70.48/35.79 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.48/35.79 | (71) identity(all_0_1_1, all_0_3_3) = 0
% 70.48/35.79 | (72) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v1, v0) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3)))
% 70.48/35.79 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0))
% 70.48/35.79 | (74) compose_function(all_0_6_6, all_0_7_7, all_0_4_4, all_0_3_3, all_0_4_4) = all_0_2_2
% 70.48/35.79 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.48/35.79 | (76) ! [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))
% 70.48/35.79 | (77) ! [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)))
% 70.48/35.79 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 70.48/35.79 | (79) ! [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)))
% 70.48/35.79 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0))
% 70.48/35.79 | (81) ? [v0] : ? [v1] : ? [v2] : equal_set(v1, v0) = v2
% 70.48/35.79 | (82) ? [v0] : ? [v1] : ? [v2] : ? [v3] : maps(v2, v1, v0) = v3
% 70.48/35.79 | (83) ! [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))
% 70.48/35.79 | (84) ? [v0] : ? [v1] : ? [v2] : intersection(v1, v0) = v2
% 70.48/35.79 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0)
% 70.48/35.79 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.48/35.79 | (87) ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2
% 70.48/35.79 | (88) ? [v0] : ? [v1] : ? [v2] : ? [v3] : injective(v2, v1, v0) = v3
% 70.48/35.79 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v5) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v5, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v5, v4) = v7)))))
% 70.48/35.79 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & injective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4)))
% 70.48/35.79 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = 0) | ~ (apply(v2, v5, v7) = v9) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 70.48/35.79 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0))
% 70.48/35.79 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0))
% 70.48/35.79 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 70.48/35.79 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v6, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7)))
% 70.48/35.79 | (96) ? [v0] : ? [v1] : singleton(v0) = v1
% 70.48/35.79 | (97) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_image3(v2, v1, v0) = v3
% 70.48/35.79 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0))
% 70.48/35.79 | (99) ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v0, v1) = v2)))
% 70.48/35.79 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0))
% 70.48/35.79 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v1, v9, v7) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 70.48/35.79 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9)))
% 70.48/35.79 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 70.48/35.80 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0))
% 70.48/35.80 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 70.48/35.80 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 70.48/35.80 | (107) ! [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))
% 70.48/35.80 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0))
% 70.48/35.80 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.48/35.80 | (110) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0))
% 70.48/35.80 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 70.48/35.80 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9)))
% 70.48/35.80 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (member(v8, v5) = 0 & member(v7, v3) = 0 & ((v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0) | (v9 = 0 & apply(v0, v7, v8) = 0)) & (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ! [v14] : ( ~ (apply(v2, v7, v14) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v1, v14, v8) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (member(v14, v4) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & apply(v1, v14, v8) = v15)))))))
% 70.48/35.80 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 70.48/35.80 | (115) ! [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))
% 70.48/35.80 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 70.48/35.80 | (117) ! [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))
% 70.48/35.80 | (118) ! [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)))))
% 70.48/35.80 | (119) ? [v0] : ? [v1] : ? [v2] : difference(v1, v0) = v2
% 70.48/35.80 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 70.59/35.80 | (121) ! [v0] : ! [v1] : ! [v2] : ( ~ (injective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & surjective(v0, v1, v2) = v3)))
% 70.59/35.80 | (122) ! [v0] : ! [v1] : ! [v2] : ( ~ (surjective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & injective(v0, v1, v2) = v3)))
% 70.59/35.80 | (123) ! [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))
% 70.59/35.80 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 70.59/35.80 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0))
% 70.59/35.80 | (126) ? [v0] : ? [v1] : ? [v2] : union(v1, v0) = v2
% 70.59/35.80 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 70.59/35.80 | (128) maps(all_0_5_5, all_0_3_3, all_0_4_4) = 0
% 70.59/35.80 | (129) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v1, v0) = v2)))
% 70.59/35.80 | (130) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0))
% 70.59/35.80 | (131) compose_function(all_0_7_7, all_0_5_5, all_0_3_3, all_0_4_4, all_0_3_3) = all_0_1_1
% 70.59/35.80 | (132) ? [v0] : ? [v1] : ? [v2] : member(v1, v0) = v2
% 70.59/35.80 | (133) ! [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))
% 70.59/35.80 | (134) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : compose_function(v4, v3, v2, v1, v0) = v5
% 70.59/35.80 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3))
% 70.59/35.80 | (136) ! [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))
% 70.59/35.80 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ (member(v5, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 70.59/35.81 | (138) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0))
% 70.59/35.81 | (139) ? [v0] : ? [v1] : ? [v2] : identity(v1, v0) = v2
% 70.59/35.81 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (injective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & surjective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4)))
% 70.59/35.81 | (141) ! [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))
% 70.59/35.81 | (142) ? [v0] : ? [v1] : sum(v0) = v1
% 70.59/35.81 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0))
% 70.59/35.81 | (144) ? [v0] : ? [v1] : ? [v2] : inverse_image2(v1, v0) = v2
% 70.59/35.81 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0))
% 70.59/35.81 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 70.59/35.81 | (147) ? [v0] : ? [v1] : ? [v2] : ? [v3] : image3(v2, v1, v0) = v3
% 70.59/35.81 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 70.59/35.81 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0))
% 70.59/35.81 | (150) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0))
% 70.59/35.81 | (151) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : equal_maps(v3, v2, v1, v0) = v4
% 70.59/35.81 | (152) ! [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))
% 70.59/35.81 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v4) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6)))
% 70.59/35.81 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 70.59/35.81 | (155) ! [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))
% 70.59/35.81 | (156) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0))
% 70.59/35.81 | (157) ! [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))
% 70.59/35.81 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 70.59/35.81 | (159) ? [v0] : ? [v1] : product(v0) = v1
% 70.59/35.81 | (160) ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0))
% 70.59/35.81 | (161) maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0
% 70.59/35.81 | (162) ! [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))
% 70.59/35.81 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ((v4 = 0 & member(v0, v2) = 0) | (v4 = 0 & member(v0, v1) = 0)))
% 70.59/35.81 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10)))
% 70.59/35.81 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10)))
% 70.59/35.81 | (166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 70.59/35.81 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ? [v7] : (( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7)))
% 70.59/35.81 | (168) ! [v0] : ~ (member(v0, empty_set) = 0)
% 70.59/35.81 | (169) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4))
% 70.59/35.81 | (170) ? [v0] : ? [v1] : power_set(v0) = v1
% 70.59/35.81 | (171) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : inverse_predicate(v3, v2, v1, v0) = v4
% 70.59/35.81 | (172) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4))
% 70.59/35.81 | (173) ? [v0] : ? [v1] : ? [v2] : ? [v3] : apply(v2, v1, v0) = v3
% 70.59/35.81 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 70.59/35.81 | (175) ! [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)))
% 70.59/35.81 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v4) = v6)))
% 70.59/35.82 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10)))
% 70.59/35.82 | (178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0))
% 70.59/35.82 | (179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0))
% 70.59/35.82 | (180) ? [v0] : ? [v1] : ? [v2] : unordered_pair(v1, v0) = v2
% 70.59/35.82 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10)))))
% 70.59/35.82 | (182) ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0)
% 70.59/35.82 | (183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 70.59/35.82 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v1, v5, v8) = 0 & apply(v0, v8, v6) = 0 & member(v8, v3) = 0) | ( ~ (v8 = 0) & member(v6, v4) = v8) | ( ~ (v8 = 0) & member(v5, v2) = v8)))
% 70.59/35.82 | (185) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (inverse_predicate(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (member(v6, v3) = 0 & member(v5, v2) = 0 & ((v8 = 0 & apply(v0, v6, v5) = 0) | (v7 = 0 & apply(v1, v5, v6) = 0)) & (( ~ (v8 = 0) & apply(v0, v6, v5) = v8) | ( ~ (v7 = 0) & apply(v1, v5, v6) = v7))))
% 70.59/35.82 | (186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0))
% 70.59/35.82 | (187) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0))
% 70.59/35.82 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0))
% 70.59/35.82 | (189) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2))
% 70.59/35.82 | (190) ? [v0] : ? [v1] : ? [v2] : ? [v3] : surjective(v2, v1, v0) = v3
% 70.59/35.82 | (191) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0))
% 70.59/35.82 |
% 70.59/35.82 | Instantiating formula (162) with all_0_0_0, all_0_4_4, all_0_3_3, all_0_5_5, all_0_6_6 and discharging atoms equal_maps(all_0_6_6, all_0_5_5, all_0_3_3, all_0_4_4) = all_0_0_0, yields:
% 70.59/35.82 | (192) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & apply(all_0_5_5, v0, v2) = 0 & apply(all_0_6_6, v0, v1) = 0 & member(v2, all_0_4_4) = 0 & member(v1, all_0_4_4) = 0 & member(v0, all_0_3_3) = 0)
% 70.59/35.82 |
% 70.59/35.82 +-Applying beta-rule and splitting (192), into two cases.
% 70.59/35.82 |-Branch one:
% 70.59/35.82 | (193) all_0_0_0 = 0
% 70.59/35.82 |
% 70.59/35.82 | Equations (193) can reduce 24 to:
% 70.59/35.82 | (194) $false
% 70.59/35.82 |
% 70.59/35.82 |-The branch is then unsatisfiable
% 70.59/35.82 |-Branch two:
% 70.59/35.82 | (24) ~ (all_0_0_0 = 0)
% 70.59/35.82 | (196) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & apply(all_0_5_5, v0, v2) = 0 & apply(all_0_6_6, v0, v1) = 0 & member(v2, all_0_4_4) = 0 & member(v1, all_0_4_4) = 0 & member(v0, all_0_3_3) = 0)
% 70.59/35.82 |
% 70.59/35.82 | Instantiating (196) with all_68_0_119, all_68_1_120, all_68_2_121 yields:
% 70.59/35.82 | (197) ~ (all_68_0_119 = all_68_1_120) & apply(all_0_5_5, all_68_2_121, all_68_0_119) = 0 & apply(all_0_6_6, all_68_2_121, all_68_1_120) = 0 & member(all_68_0_119, all_0_4_4) = 0 & member(all_68_1_120, all_0_4_4) = 0 & member(all_68_2_121, all_0_3_3) = 0
% 70.59/35.82 |
% 70.59/35.82 | Applying alpha-rule on (197) yields:
% 70.59/35.82 | (198) ~ (all_68_0_119 = all_68_1_120)
% 70.59/35.82 | (199) member(all_68_2_121, all_0_3_3) = 0
% 70.59/35.82 | (200) apply(all_0_5_5, all_68_2_121, all_68_0_119) = 0
% 70.59/35.82 | (201) member(all_68_0_119, all_0_4_4) = 0
% 70.59/35.82 | (202) apply(all_0_6_6, all_68_2_121, all_68_1_120) = 0
% 70.59/35.82 | (203) member(all_68_1_120, all_0_4_4) = 0
% 70.59/35.82 |
% 70.59/35.82 | Instantiating formula (153) with all_68_1_120, all_68_0_119, all_68_2_121, all_0_4_4, all_0_3_3, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_3_3, all_0_4_4) = 0, apply(all_0_6_6, all_68_2_121, all_68_1_120) = 0, member(all_68_0_119, all_0_4_4) = 0, yields:
% 70.59/35.82 | (204) all_68_0_119 = all_68_1_120 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_121, all_68_0_119) = v0) | ( ~ (v0 = 0) & member(all_68_1_120, all_0_4_4) = v0) | ( ~ (v0 = 0) & member(all_68_2_121, all_0_3_3) = v0))
% 70.59/35.82 |
% 70.59/35.82 | Instantiating formula (45) with all_68_0_119, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, member(all_68_0_119, all_0_4_4) = 0, yields:
% 70.59/35.82 | (205) ? [v0] : (apply(all_0_7_7, all_68_0_119, v0) = 0 & member(v0, all_0_3_3) = 0)
% 70.59/35.82 |
% 70.59/35.82 | Instantiating formula (182) with all_68_0_119, all_0_4_4, all_0_2_2 and discharging atoms identity(all_0_2_2, all_0_4_4) = 0, member(all_68_0_119, all_0_4_4) = 0, yields:
% 70.59/35.82 | (206) apply(all_0_2_2, all_68_0_119, all_68_0_119) = 0
% 70.59/35.82 |
% 70.59/35.82 | Instantiating formula (153) with all_68_0_119, all_68_1_120, all_68_2_121, all_0_4_4, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_4_4) = 0, apply(all_0_5_5, all_68_2_121, all_68_0_119) = 0, member(all_68_1_120, all_0_4_4) = 0, yields:
% 70.59/35.82 | (207) all_68_0_119 = all_68_1_120 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_5_5, all_68_2_121, all_68_1_120) = v0) | ( ~ (v0 = 0) & member(all_68_0_119, all_0_4_4) = v0) | ( ~ (v0 = 0) & member(all_68_2_121, all_0_3_3) = v0))
% 70.68/35.82 |
% 70.68/35.82 | Instantiating formula (45) with all_68_2_121, all_0_4_4, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_4_4) = 0, member(all_68_2_121, all_0_3_3) = 0, yields:
% 70.68/35.82 | (208) ? [v0] : (apply(all_0_5_5, all_68_2_121, v0) = 0 & member(v0, all_0_4_4) = 0)
% 70.68/35.82 |
% 70.68/35.82 | Instantiating formula (176) with all_68_0_119, all_68_1_120, all_68_2_121, all_0_4_4, all_0_3_3, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_3_3, all_0_4_4) = 0, member(all_68_0_119, all_0_4_4) = 0, member(all_68_1_120, all_0_4_4) = 0, member(all_68_2_121, all_0_3_3) = 0, yields:
% 70.68/35.82 | (209) all_68_0_119 = all_68_1_120 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_121, all_68_0_119) = v0) | ( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_121, all_68_1_120) = v0))
% 70.68/35.82 |
% 70.68/35.82 | Instantiating formula (182) with all_68_2_121, all_0_3_3, all_0_1_1 and discharging atoms identity(all_0_1_1, all_0_3_3) = 0, member(all_68_2_121, all_0_3_3) = 0, yields:
% 70.68/35.82 | (210) apply(all_0_1_1, all_68_2_121, all_68_2_121) = 0
% 70.68/35.82 |
% 70.68/35.82 | Instantiating (208) with all_76_0_122 yields:
% 70.68/35.82 | (211) apply(all_0_5_5, all_68_2_121, all_76_0_122) = 0 & member(all_76_0_122, all_0_4_4) = 0
% 70.68/35.82 |
% 70.68/35.82 | Applying alpha-rule on (211) yields:
% 70.68/35.82 | (212) apply(all_0_5_5, all_68_2_121, all_76_0_122) = 0
% 70.68/35.82 | (213) member(all_76_0_122, all_0_4_4) = 0
% 70.68/35.82 |
% 70.68/35.82 | Instantiating (205) with all_78_0_123 yields:
% 70.68/35.82 | (214) apply(all_0_7_7, all_68_0_119, all_78_0_123) = 0 & member(all_78_0_123, all_0_3_3) = 0
% 70.68/35.82 |
% 70.68/35.82 | Applying alpha-rule on (214) yields:
% 70.68/35.82 | (215) apply(all_0_7_7, all_68_0_119, all_78_0_123) = 0
% 70.68/35.82 | (216) member(all_78_0_123, all_0_3_3) = 0
% 70.68/35.82 |
% 70.68/35.82 +-Applying beta-rule and splitting (207), into two cases.
% 70.68/35.82 |-Branch one:
% 70.68/35.82 | (217) all_68_0_119 = all_68_1_120
% 70.68/35.82 |
% 70.68/35.82 | Equations (217) can reduce 198 to:
% 70.68/35.82 | (194) $false
% 70.68/35.82 |
% 70.68/35.82 |-The branch is then unsatisfiable
% 70.68/35.83 |-Branch two:
% 70.68/35.83 | (198) ~ (all_68_0_119 = all_68_1_120)
% 70.68/35.83 | (220) ? [v0] : (( ~ (v0 = 0) & apply(all_0_5_5, all_68_2_121, all_68_1_120) = v0) | ( ~ (v0 = 0) & member(all_68_0_119, all_0_4_4) = v0) | ( ~ (v0 = 0) & member(all_68_2_121, all_0_3_3) = v0))
% 70.68/35.83 |
% 70.68/35.83 +-Applying beta-rule and splitting (204), into two cases.
% 70.68/35.83 |-Branch one:
% 70.68/35.83 | (217) all_68_0_119 = all_68_1_120
% 70.68/35.83 |
% 70.68/35.83 | Equations (217) can reduce 198 to:
% 70.68/35.83 | (194) $false
% 70.68/35.83 |
% 70.68/35.83 |-The branch is then unsatisfiable
% 70.68/35.83 |-Branch two:
% 70.68/35.83 | (198) ~ (all_68_0_119 = all_68_1_120)
% 70.68/35.83 | (224) ? [v0] : (( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_121, all_68_0_119) = v0) | ( ~ (v0 = 0) & member(all_68_1_120, all_0_4_4) = v0) | ( ~ (v0 = 0) & member(all_68_2_121, all_0_3_3) = v0))
% 70.68/35.83 |
% 70.68/35.83 | Instantiating (224) with all_92_0_127 yields:
% 70.68/35.83 | (225) ( ~ (all_92_0_127 = 0) & apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_92_0_127) | ( ~ (all_92_0_127 = 0) & member(all_68_1_120, all_0_4_4) = all_92_0_127) | ( ~ (all_92_0_127 = 0) & member(all_68_2_121, all_0_3_3) = all_92_0_127)
% 70.68/35.83 |
% 70.68/35.83 +-Applying beta-rule and splitting (209), into two cases.
% 70.68/35.83 |-Branch one:
% 70.68/35.83 | (217) all_68_0_119 = all_68_1_120
% 70.68/35.83 |
% 70.68/35.83 | Equations (217) can reduce 198 to:
% 70.68/35.83 | (194) $false
% 70.68/35.83 |
% 70.68/35.83 |-The branch is then unsatisfiable
% 70.68/35.83 |-Branch two:
% 70.68/35.83 | (198) ~ (all_68_0_119 = all_68_1_120)
% 70.68/35.83 | (229) ? [v0] : (( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_121, all_68_0_119) = v0) | ( ~ (v0 = 0) & apply(all_0_6_6, all_68_2_121, all_68_1_120) = v0))
% 70.68/35.83 |
% 70.68/35.83 | Instantiating (229) with all_96_0_128 yields:
% 70.68/35.83 | (230) ( ~ (all_96_0_128 = 0) & apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_96_0_128) | ( ~ (all_96_0_128 = 0) & apply(all_0_6_6, all_68_2_121, all_68_1_120) = all_96_0_128)
% 70.68/35.83 |
% 70.68/35.83 +-Applying beta-rule and splitting (230), into two cases.
% 70.68/35.83 |-Branch one:
% 70.68/35.83 | (231) ~ (all_96_0_128 = 0) & apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_96_0_128
% 70.68/35.83 |
% 70.68/35.83 | Applying alpha-rule on (231) yields:
% 70.68/35.83 | (232) ~ (all_96_0_128 = 0)
% 70.68/35.83 | (233) apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_96_0_128
% 70.68/35.83 |
% 70.68/35.83 +-Applying beta-rule and splitting (225), into two cases.
% 70.68/35.83 |-Branch one:
% 70.68/35.83 | (234) ( ~ (all_92_0_127 = 0) & apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_92_0_127) | ( ~ (all_92_0_127 = 0) & member(all_68_1_120, all_0_4_4) = all_92_0_127)
% 70.68/35.83 |
% 70.68/35.83 +-Applying beta-rule and splitting (234), into two cases.
% 70.68/35.83 |-Branch one:
% 70.68/35.83 | (235) ~ (all_92_0_127 = 0) & apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_92_0_127
% 70.68/35.83 |
% 70.68/35.83 | Applying alpha-rule on (235) yields:
% 70.68/35.83 | (236) ~ (all_92_0_127 = 0)
% 70.68/35.83 | (237) apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_92_0_127
% 70.68/35.83 |
% 70.68/35.83 | Instantiating formula (98) with all_0_6_6, all_68_2_121, all_68_0_119, all_92_0_127, all_96_0_128 and discharging atoms apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_96_0_128, apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_92_0_127, yields:
% 70.68/35.83 | (238) all_96_0_128 = all_92_0_127
% 70.68/35.83 |
% 70.68/35.83 | Equations (238) can reduce 232 to:
% 70.68/35.83 | (236) ~ (all_92_0_127 = 0)
% 70.68/35.83 |
% 70.68/35.83 | From (238) and (233) follows:
% 70.68/35.83 | (237) apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_92_0_127
% 70.68/35.83 |
% 70.68/35.83 | Instantiating formula (184) with all_0_1_1, all_68_2_121, all_68_2_121, all_0_3_3, all_0_4_4, all_0_3_3, all_0_5_5, all_0_7_7 and discharging atoms compose_function(all_0_7_7, all_0_5_5, all_0_3_3, all_0_4_4, all_0_3_3) = all_0_1_1, apply(all_0_1_1, all_68_2_121, all_68_2_121) = 0, yields:
% 70.68/35.83 | (241) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & apply(all_0_5_5, all_68_2_121, v0) = 0 & apply(all_0_7_7, v0, all_68_2_121) = 0 & member(v0, all_0_4_4) = 0) | ( ~ (v0 = 0) & member(all_68_2_121, all_0_3_3) = v0))
% 70.68/35.83 |
% 70.68/35.83 | Instantiating formula (184) with all_0_2_2, all_68_0_119, all_68_0_119, all_0_4_4, all_0_3_3, all_0_4_4, all_0_7_7, all_0_6_6 and discharging atoms compose_function(all_0_6_6, all_0_7_7, all_0_4_4, all_0_3_3, all_0_4_4) = all_0_2_2, apply(all_0_2_2, all_68_0_119, all_68_0_119) = 0, yields:
% 70.68/35.83 | (242) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & apply(all_0_6_6, v0, all_68_0_119) = 0 & apply(all_0_7_7, all_68_0_119, v0) = 0 & member(v0, all_0_3_3) = 0) | ( ~ (v0 = 0) & member(all_68_0_119, all_0_4_4) = v0))
% 70.68/35.83 |
% 70.68/35.83 | Instantiating formula (153) with all_76_0_122, all_68_0_119, all_68_2_121, all_0_4_4, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_4_4) = 0, apply(all_0_5_5, all_68_2_121, all_76_0_122) = 0, member(all_68_0_119, all_0_4_4) = 0, yields:
% 70.68/35.83 | (243) all_76_0_122 = all_68_0_119 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_5_5, all_68_2_121, all_68_0_119) = v0) | ( ~ (v0 = 0) & member(all_76_0_122, all_0_4_4) = v0) | ( ~ (v0 = 0) & member(all_68_2_121, all_0_3_3) = v0))
% 70.68/35.83 |
% 70.68/35.83 | Instantiating formula (45) with all_78_0_123, all_0_4_4, all_0_3_3, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_3_3, all_0_4_4) = 0, member(all_78_0_123, all_0_3_3) = 0, yields:
% 70.68/35.83 | (244) ? [v0] : (apply(all_0_6_6, all_78_0_123, v0) = 0 & member(v0, all_0_4_4) = 0)
% 70.68/35.83 |
% 70.68/35.83 | Instantiating formula (176) with all_68_2_121, all_78_0_123, all_76_0_122, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, member(all_78_0_123, all_0_3_3) = 0, member(all_76_0_122, all_0_4_4) = 0, member(all_68_2_121, all_0_3_3) = 0, yields:
% 70.68/35.83 | (245) all_78_0_123 = all_68_2_121 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_76_0_122, all_78_0_123) = v0) | ( ~ (v0 = 0) & apply(all_0_7_7, all_76_0_122, all_68_2_121) = v0))
% 70.68/35.83 |
% 70.68/35.83 | Instantiating formula (45) with all_76_0_122, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, member(all_76_0_122, all_0_4_4) = 0, yields:
% 70.68/35.83 | (246) ? [v0] : (apply(all_0_7_7, all_76_0_122, v0) = 0 & member(v0, all_0_3_3) = 0)
% 70.68/35.83 |
% 70.68/35.83 | Instantiating (246) with all_129_0_131 yields:
% 70.68/35.83 | (247) apply(all_0_7_7, all_76_0_122, all_129_0_131) = 0 & member(all_129_0_131, all_0_3_3) = 0
% 70.68/35.83 |
% 70.68/35.83 | Applying alpha-rule on (247) yields:
% 70.68/35.83 | (248) apply(all_0_7_7, all_76_0_122, all_129_0_131) = 0
% 70.68/35.83 | (249) member(all_129_0_131, all_0_3_3) = 0
% 70.68/35.83 |
% 70.68/35.83 | Instantiating (244) with all_134_0_137 yields:
% 70.68/35.83 | (250) apply(all_0_6_6, all_78_0_123, all_134_0_137) = 0 & member(all_134_0_137, all_0_4_4) = 0
% 70.68/35.83 |
% 70.68/35.83 | Applying alpha-rule on (250) yields:
% 70.68/35.83 | (251) apply(all_0_6_6, all_78_0_123, all_134_0_137) = 0
% 70.68/35.83 | (252) member(all_134_0_137, all_0_4_4) = 0
% 70.68/35.83 |
% 70.68/35.83 | Instantiating (242) with all_136_0_138, all_136_1_139, all_136_2_140, all_136_3_141 yields:
% 70.68/35.83 | (253) (all_136_0_138 = 0 & all_136_1_139 = 0 & all_136_2_140 = 0 & apply(all_0_6_6, all_136_3_141, all_68_0_119) = 0 & apply(all_0_7_7, all_68_0_119, all_136_3_141) = 0 & member(all_136_3_141, all_0_3_3) = 0) | ( ~ (all_136_3_141 = 0) & member(all_68_0_119, all_0_4_4) = all_136_3_141)
% 70.68/35.83 |
% 70.68/35.83 | Instantiating (241) with all_137_0_142, all_137_1_143, all_137_2_144, all_137_3_145 yields:
% 70.68/35.83 | (254) (all_137_0_142 = 0 & all_137_1_143 = 0 & all_137_2_144 = 0 & apply(all_0_5_5, all_68_2_121, all_137_3_145) = 0 & apply(all_0_7_7, all_137_3_145, all_68_2_121) = 0 & member(all_137_3_145, all_0_4_4) = 0) | ( ~ (all_137_3_145 = 0) & member(all_68_2_121, all_0_3_3) = all_137_3_145)
% 70.68/35.83 |
% 70.68/35.83 +-Applying beta-rule and splitting (243), into two cases.
% 70.68/35.83 |-Branch one:
% 70.68/35.83 | (255) all_76_0_122 = all_68_0_119
% 70.68/35.83 |
% 70.68/35.83 | From (255) and (212) follows:
% 70.68/35.83 | (200) apply(all_0_5_5, all_68_2_121, all_68_0_119) = 0
% 70.68/35.83 |
% 70.68/35.83 | From (255) and (248) follows:
% 70.68/35.83 | (257) apply(all_0_7_7, all_68_0_119, all_129_0_131) = 0
% 70.68/35.83 |
% 70.68/35.83 | From (255) and (213) follows:
% 70.68/35.83 | (201) member(all_68_0_119, all_0_4_4) = 0
% 70.68/35.83 |
% 70.68/35.83 +-Applying beta-rule and splitting (253), into two cases.
% 70.68/35.83 |-Branch one:
% 70.68/35.83 | (259) all_136_0_138 = 0 & all_136_1_139 = 0 & all_136_2_140 = 0 & apply(all_0_6_6, all_136_3_141, all_68_0_119) = 0 & apply(all_0_7_7, all_68_0_119, all_136_3_141) = 0 & member(all_136_3_141, all_0_3_3) = 0
% 70.68/35.83 |
% 70.68/35.83 | Applying alpha-rule on (259) yields:
% 70.68/35.83 | (260) apply(all_0_7_7, all_68_0_119, all_136_3_141) = 0
% 70.68/35.83 | (261) apply(all_0_6_6, all_136_3_141, all_68_0_119) = 0
% 70.68/35.83 | (262) all_136_1_139 = 0
% 70.68/35.83 | (263) member(all_136_3_141, all_0_3_3) = 0
% 70.68/35.83 | (264) all_136_2_140 = 0
% 70.68/35.83 | (265) all_136_0_138 = 0
% 70.68/35.83 |
% 70.68/35.83 +-Applying beta-rule and splitting (254), into two cases.
% 70.68/35.83 |-Branch one:
% 70.68/35.83 | (266) all_137_0_142 = 0 & all_137_1_143 = 0 & all_137_2_144 = 0 & apply(all_0_5_5, all_68_2_121, all_137_3_145) = 0 & apply(all_0_7_7, all_137_3_145, all_68_2_121) = 0 & member(all_137_3_145, all_0_4_4) = 0
% 70.68/35.83 |
% 70.68/35.83 | Applying alpha-rule on (266) yields:
% 70.68/35.83 | (267) all_137_1_143 = 0
% 70.68/35.83 | (268) all_137_0_142 = 0
% 70.68/35.83 | (269) all_137_2_144 = 0
% 70.68/35.83 | (270) apply(all_0_5_5, all_68_2_121, all_137_3_145) = 0
% 70.68/35.83 | (271) member(all_137_3_145, all_0_4_4) = 0
% 70.68/35.83 | (272) apply(all_0_7_7, all_137_3_145, all_68_2_121) = 0
% 70.68/35.83 |
% 70.68/35.83 | Instantiating formula (153) with all_134_0_137, all_68_0_119, all_78_0_123, all_0_4_4, all_0_3_3, all_0_6_6 and discharging atoms maps(all_0_6_6, all_0_3_3, all_0_4_4) = 0, apply(all_0_6_6, all_78_0_123, all_134_0_137) = 0, member(all_68_0_119, all_0_4_4) = 0, yields:
% 70.68/35.83 | (273) all_134_0_137 = all_68_0_119 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_6_6, all_78_0_123, all_68_0_119) = v0) | ( ~ (v0 = 0) & member(all_134_0_137, all_0_4_4) = v0) | ( ~ (v0 = 0) & member(all_78_0_123, all_0_3_3) = v0))
% 70.68/35.83 |
% 70.68/35.83 | Instantiating formula (153) with all_78_0_123, all_136_3_141, all_68_0_119, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, apply(all_0_7_7, all_68_0_119, all_78_0_123) = 0, member(all_136_3_141, all_0_3_3) = 0, yields:
% 70.68/35.84 | (274) all_136_3_141 = all_78_0_123 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = v0) | ( ~ (v0 = 0) & member(all_78_0_123, all_0_3_3) = v0) | ( ~ (v0 = 0) & member(all_68_0_119, all_0_4_4) = v0))
% 70.68/35.84 |
% 70.68/35.84 | Instantiating formula (153) with all_129_0_131, all_136_3_141, all_68_0_119, all_0_3_3, all_0_4_4, all_0_7_7 and discharging atoms maps(all_0_7_7, all_0_4_4, all_0_3_3) = 0, apply(all_0_7_7, all_68_0_119, all_129_0_131) = 0, member(all_136_3_141, all_0_3_3) = 0, yields:
% 70.68/35.84 | (275) all_136_3_141 = all_129_0_131 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = v0) | ( ~ (v0 = 0) & member(all_129_0_131, all_0_3_3) = v0) | ( ~ (v0 = 0) & member(all_68_0_119, all_0_4_4) = v0))
% 70.68/35.84 |
% 70.68/35.84 | Instantiating formula (176) with all_134_0_137, all_137_3_145, all_68_2_121, all_0_4_4, all_0_3_3, all_0_5_5 and discharging atoms maps(all_0_5_5, all_0_3_3, all_0_4_4) = 0, member(all_137_3_145, all_0_4_4) = 0, member(all_134_0_137, all_0_4_4) = 0, member(all_68_2_121, all_0_3_3) = 0, yields:
% 70.68/35.84 | (276) all_137_3_145 = all_134_0_137 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_5_5, all_68_2_121, all_137_3_145) = v0) | ( ~ (v0 = 0) & apply(all_0_5_5, all_68_2_121, all_134_0_137) = v0))
% 70.68/35.84 |
% 70.68/35.84 +-Applying beta-rule and splitting (275), into two cases.
% 70.68/35.84 |-Branch one:
% 70.68/35.84 | (277) all_136_3_141 = all_129_0_131
% 70.68/35.84 |
% 70.68/35.84 | From (277) and (261) follows:
% 70.68/35.84 | (278) apply(all_0_6_6, all_129_0_131, all_68_0_119) = 0
% 70.68/35.84 |
% 70.68/35.84 | From (277) and (260) follows:
% 70.68/35.84 | (257) apply(all_0_7_7, all_68_0_119, all_129_0_131) = 0
% 70.68/35.84 |
% 70.68/35.84 | From (277) and (263) follows:
% 70.68/35.84 | (249) member(all_129_0_131, all_0_3_3) = 0
% 70.68/35.84 |
% 70.68/35.84 +-Applying beta-rule and splitting (274), into two cases.
% 70.68/35.84 |-Branch one:
% 70.68/35.84 | (281) all_136_3_141 = all_78_0_123
% 70.68/35.84 |
% 70.68/35.84 | Combining equations (281,277) yields a new equation:
% 70.68/35.84 | (282) all_129_0_131 = all_78_0_123
% 70.68/35.84 |
% 70.68/35.84 | From (282) and (278) follows:
% 70.68/35.84 | (283) apply(all_0_6_6, all_78_0_123, all_68_0_119) = 0
% 70.68/35.84 |
% 70.68/35.84 | From (282) and (257) follows:
% 70.68/35.84 | (215) apply(all_0_7_7, all_68_0_119, all_78_0_123) = 0
% 70.68/35.84 |
% 70.68/35.84 | From (282) and (249) follows:
% 70.68/35.84 | (216) member(all_78_0_123, all_0_3_3) = 0
% 70.68/35.84 |
% 70.68/35.84 +-Applying beta-rule and splitting (273), into two cases.
% 70.68/35.84 |-Branch one:
% 70.68/35.84 | (286) all_134_0_137 = all_68_0_119
% 70.68/35.84 |
% 70.68/35.84 | From (286) and (251) follows:
% 70.68/35.84 | (283) apply(all_0_6_6, all_78_0_123, all_68_0_119) = 0
% 70.68/35.84 |
% 70.68/35.84 +-Applying beta-rule and splitting (276), into two cases.
% 70.68/35.84 |-Branch one:
% 70.68/35.84 | (288) all_137_3_145 = all_134_0_137
% 70.68/35.84 |
% 70.68/35.84 | Combining equations (286,288) yields a new equation:
% 70.68/35.84 | (289) all_137_3_145 = all_68_0_119
% 70.68/35.84 |
% 70.68/35.84 | From (289) and (272) follows:
% 70.68/35.84 | (290) apply(all_0_7_7, all_68_0_119, all_68_2_121) = 0
% 70.68/35.84 |
% 70.68/35.84 +-Applying beta-rule and splitting (245), into two cases.
% 70.68/35.84 |-Branch one:
% 70.68/35.84 | (291) all_78_0_123 = all_68_2_121
% 70.68/35.84 |
% 70.68/35.84 | From (291) and (283) follows:
% 70.68/35.84 | (292) apply(all_0_6_6, all_68_2_121, all_68_0_119) = 0
% 70.68/35.84 |
% 70.68/35.84 | Instantiating formula (98) with all_0_6_6, all_68_2_121, all_68_0_119, 0, all_92_0_127 and discharging atoms apply(all_0_6_6, all_68_2_121, all_68_0_119) = all_92_0_127, apply(all_0_6_6, all_68_2_121, all_68_0_119) = 0, yields:
% 70.68/35.84 | (293) all_92_0_127 = 0
% 70.68/35.84 |
% 70.68/35.84 | Equations (293) can reduce 236 to:
% 70.68/35.84 | (194) $false
% 70.68/35.84 |
% 70.68/35.84 |-The branch is then unsatisfiable
% 70.68/35.84 |-Branch two:
% 70.68/35.84 | (295) ~ (all_78_0_123 = all_68_2_121)
% 70.68/35.84 | (296) ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_76_0_122, all_78_0_123) = v0) | ( ~ (v0 = 0) & apply(all_0_7_7, all_76_0_122, all_68_2_121) = v0))
% 70.68/35.84 |
% 70.68/35.84 | Instantiating (296) with all_352_0_1286 yields:
% 70.68/35.84 | (297) ( ~ (all_352_0_1286 = 0) & apply(all_0_7_7, all_76_0_122, all_78_0_123) = all_352_0_1286) | ( ~ (all_352_0_1286 = 0) & apply(all_0_7_7, all_76_0_122, all_68_2_121) = all_352_0_1286)
% 70.68/35.84 |
% 70.68/35.84 +-Applying beta-rule and splitting (297), into two cases.
% 70.68/35.84 |-Branch one:
% 70.68/35.84 | (298) ~ (all_352_0_1286 = 0) & apply(all_0_7_7, all_76_0_122, all_78_0_123) = all_352_0_1286
% 70.68/35.84 |
% 70.68/35.84 | Applying alpha-rule on (298) yields:
% 70.68/35.84 | (299) ~ (all_352_0_1286 = 0)
% 70.68/35.84 | (300) apply(all_0_7_7, all_76_0_122, all_78_0_123) = all_352_0_1286
% 70.68/35.84 |
% 70.68/35.84 | From (255) and (300) follows:
% 70.68/35.84 | (301) apply(all_0_7_7, all_68_0_119, all_78_0_123) = all_352_0_1286
% 70.68/35.84 |
% 70.68/35.84 | Instantiating formula (98) with all_0_7_7, all_68_0_119, all_78_0_123, all_352_0_1286, 0 and discharging atoms apply(all_0_7_7, all_68_0_119, all_78_0_123) = all_352_0_1286, apply(all_0_7_7, all_68_0_119, all_78_0_123) = 0, yields:
% 70.68/35.84 | (302) all_352_0_1286 = 0
% 70.68/35.84 |
% 70.68/35.84 | Equations (302) can reduce 299 to:
% 70.68/35.84 | (194) $false
% 70.68/35.84 |
% 70.68/35.84 |-The branch is then unsatisfiable
% 70.68/35.84 |-Branch two:
% 70.68/35.84 | (304) ~ (all_352_0_1286 = 0) & apply(all_0_7_7, all_76_0_122, all_68_2_121) = all_352_0_1286
% 70.68/35.84 |
% 70.68/35.84 | Applying alpha-rule on (304) yields:
% 70.68/35.84 | (299) ~ (all_352_0_1286 = 0)
% 70.68/35.84 | (306) apply(all_0_7_7, all_76_0_122, all_68_2_121) = all_352_0_1286
% 70.68/35.84 |
% 70.68/35.84 | From (255) and (306) follows:
% 70.68/35.84 | (307) apply(all_0_7_7, all_68_0_119, all_68_2_121) = all_352_0_1286
% 70.68/35.84 |
% 70.68/35.84 | Instantiating formula (98) with all_0_7_7, all_68_0_119, all_68_2_121, 0, all_352_0_1286 and discharging atoms apply(all_0_7_7, all_68_0_119, all_68_2_121) = all_352_0_1286, apply(all_0_7_7, all_68_0_119, all_68_2_121) = 0, yields:
% 70.68/35.84 | (302) all_352_0_1286 = 0
% 70.68/35.84 |
% 70.68/35.84 | Equations (302) can reduce 299 to:
% 70.68/35.84 | (194) $false
% 70.68/35.84 |
% 70.68/35.84 |-The branch is then unsatisfiable
% 70.68/35.84 |-Branch two:
% 70.68/35.84 | (310) ~ (all_137_3_145 = all_134_0_137)
% 70.68/35.84 | (311) ? [v0] : (( ~ (v0 = 0) & apply(all_0_5_5, all_68_2_121, all_137_3_145) = v0) | ( ~ (v0 = 0) & apply(all_0_5_5, all_68_2_121, all_134_0_137) = v0))
% 70.68/35.84 |
% 70.68/35.84 | Instantiating (311) with all_332_0_1714 yields:
% 70.68/35.84 | (312) ( ~ (all_332_0_1714 = 0) & apply(all_0_5_5, all_68_2_121, all_137_3_145) = all_332_0_1714) | ( ~ (all_332_0_1714 = 0) & apply(all_0_5_5, all_68_2_121, all_134_0_137) = all_332_0_1714)
% 70.68/35.84 |
% 70.68/35.84 +-Applying beta-rule and splitting (312), into two cases.
% 70.68/35.84 |-Branch one:
% 70.68/35.84 | (313) ~ (all_332_0_1714 = 0) & apply(all_0_5_5, all_68_2_121, all_137_3_145) = all_332_0_1714
% 70.68/35.84 |
% 70.68/35.84 | Applying alpha-rule on (313) yields:
% 70.68/35.84 | (314) ~ (all_332_0_1714 = 0)
% 70.68/35.84 | (315) apply(all_0_5_5, all_68_2_121, all_137_3_145) = all_332_0_1714
% 70.68/35.84 |
% 70.68/35.84 | Instantiating formula (98) with all_0_5_5, all_68_2_121, all_137_3_145, all_332_0_1714, 0 and discharging atoms apply(all_0_5_5, all_68_2_121, all_137_3_145) = all_332_0_1714, apply(all_0_5_5, all_68_2_121, all_137_3_145) = 0, yields:
% 70.68/35.84 | (316) all_332_0_1714 = 0
% 70.68/35.84 |
% 70.68/35.84 | Equations (316) can reduce 314 to:
% 70.68/35.84 | (194) $false
% 70.68/35.84 |
% 70.68/35.84 |-The branch is then unsatisfiable
% 70.68/35.84 |-Branch two:
% 70.68/35.84 | (318) ~ (all_332_0_1714 = 0) & apply(all_0_5_5, all_68_2_121, all_134_0_137) = all_332_0_1714
% 70.68/35.84 |
% 70.68/35.84 | Applying alpha-rule on (318) yields:
% 70.68/35.84 | (314) ~ (all_332_0_1714 = 0)
% 70.68/35.84 | (320) apply(all_0_5_5, all_68_2_121, all_134_0_137) = all_332_0_1714
% 70.68/35.84 |
% 70.68/35.84 | From (286) and (320) follows:
% 70.68/35.84 | (321) apply(all_0_5_5, all_68_2_121, all_68_0_119) = all_332_0_1714
% 70.68/35.84 |
% 70.68/35.84 | Instantiating formula (98) with all_0_5_5, all_68_2_121, all_68_0_119, all_332_0_1714, 0 and discharging atoms apply(all_0_5_5, all_68_2_121, all_68_0_119) = all_332_0_1714, apply(all_0_5_5, all_68_2_121, all_68_0_119) = 0, yields:
% 70.68/35.84 | (316) all_332_0_1714 = 0
% 70.68/35.84 |
% 70.68/35.84 | Equations (316) can reduce 314 to:
% 70.68/35.84 | (194) $false
% 70.68/35.84 |
% 70.68/35.84 |-The branch is then unsatisfiable
% 70.68/35.84 |-Branch two:
% 70.68/35.84 | (324) ~ (all_134_0_137 = all_68_0_119)
% 70.68/35.84 | (325) ? [v0] : (( ~ (v0 = 0) & apply(all_0_6_6, all_78_0_123, all_68_0_119) = v0) | ( ~ (v0 = 0) & member(all_134_0_137, all_0_4_4) = v0) | ( ~ (v0 = 0) & member(all_78_0_123, all_0_3_3) = v0))
% 70.68/35.84 |
% 70.68/35.84 | Instantiating (325) with all_296_0_1822 yields:
% 70.68/35.84 | (326) ( ~ (all_296_0_1822 = 0) & apply(all_0_6_6, all_78_0_123, all_68_0_119) = all_296_0_1822) | ( ~ (all_296_0_1822 = 0) & member(all_134_0_137, all_0_4_4) = all_296_0_1822) | ( ~ (all_296_0_1822 = 0) & member(all_78_0_123, all_0_3_3) = all_296_0_1822)
% 70.68/35.84 |
% 70.68/35.84 +-Applying beta-rule and splitting (326), into two cases.
% 70.68/35.84 |-Branch one:
% 70.68/35.84 | (327) ( ~ (all_296_0_1822 = 0) & apply(all_0_6_6, all_78_0_123, all_68_0_119) = all_296_0_1822) | ( ~ (all_296_0_1822 = 0) & member(all_134_0_137, all_0_4_4) = all_296_0_1822)
% 70.68/35.84 |
% 70.68/35.84 +-Applying beta-rule and splitting (327), into two cases.
% 70.68/35.84 |-Branch one:
% 70.68/35.84 | (328) ~ (all_296_0_1822 = 0) & apply(all_0_6_6, all_78_0_123, all_68_0_119) = all_296_0_1822
% 70.68/35.84 |
% 70.68/35.84 | Applying alpha-rule on (328) yields:
% 70.68/35.84 | (329) ~ (all_296_0_1822 = 0)
% 70.68/35.84 | (330) apply(all_0_6_6, all_78_0_123, all_68_0_119) = all_296_0_1822
% 70.68/35.84 |
% 70.68/35.84 | Instantiating formula (98) with all_0_6_6, all_78_0_123, all_68_0_119, 0, all_296_0_1822 and discharging atoms apply(all_0_6_6, all_78_0_123, all_68_0_119) = all_296_0_1822, apply(all_0_6_6, all_78_0_123, all_68_0_119) = 0, yields:
% 70.68/35.84 | (331) all_296_0_1822 = 0
% 70.68/35.84 |
% 70.68/35.84 | Equations (331) can reduce 329 to:
% 70.68/35.84 | (194) $false
% 70.68/35.84 |
% 70.68/35.84 |-The branch is then unsatisfiable
% 70.68/35.84 |-Branch two:
% 70.68/35.84 | (333) ~ (all_296_0_1822 = 0) & member(all_134_0_137, all_0_4_4) = all_296_0_1822
% 70.68/35.84 |
% 70.68/35.84 | Applying alpha-rule on (333) yields:
% 70.68/35.84 | (329) ~ (all_296_0_1822 = 0)
% 70.68/35.84 | (335) member(all_134_0_137, all_0_4_4) = all_296_0_1822
% 70.68/35.84 |
% 70.68/35.84 | Instantiating formula (51) with all_134_0_137, all_0_4_4, all_296_0_1822, 0 and discharging atoms member(all_134_0_137, all_0_4_4) = all_296_0_1822, member(all_134_0_137, all_0_4_4) = 0, yields:
% 70.68/35.84 | (331) all_296_0_1822 = 0
% 70.68/35.84 |
% 70.68/35.84 | Equations (331) can reduce 329 to:
% 70.68/35.84 | (194) $false
% 70.68/35.84 |
% 70.68/35.84 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (338) ~ (all_296_0_1822 = 0) & member(all_78_0_123, all_0_3_3) = all_296_0_1822
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (338) yields:
% 70.68/35.85 | (329) ~ (all_296_0_1822 = 0)
% 70.68/35.85 | (340) member(all_78_0_123, all_0_3_3) = all_296_0_1822
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (51) with all_78_0_123, all_0_3_3, all_296_0_1822, 0 and discharging atoms member(all_78_0_123, all_0_3_3) = all_296_0_1822, member(all_78_0_123, all_0_3_3) = 0, yields:
% 70.68/35.85 | (331) all_296_0_1822 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (331) can reduce 329 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (343) ~ (all_136_3_141 = all_78_0_123)
% 70.68/35.85 | (344) ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = v0) | ( ~ (v0 = 0) & member(all_78_0_123, all_0_3_3) = v0) | ( ~ (v0 = 0) & member(all_68_0_119, all_0_4_4) = v0))
% 70.68/35.85 |
% 70.68/35.85 | Instantiating (344) with all_292_0_5446 yields:
% 70.68/35.85 | (345) ( ~ (all_292_0_5446 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = all_292_0_5446) | ( ~ (all_292_0_5446 = 0) & member(all_78_0_123, all_0_3_3) = all_292_0_5446) | ( ~ (all_292_0_5446 = 0) & member(all_68_0_119, all_0_4_4) = all_292_0_5446)
% 70.68/35.85 |
% 70.68/35.85 +-Applying beta-rule and splitting (345), into two cases.
% 70.68/35.85 |-Branch one:
% 70.68/35.85 | (346) ( ~ (all_292_0_5446 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = all_292_0_5446) | ( ~ (all_292_0_5446 = 0) & member(all_78_0_123, all_0_3_3) = all_292_0_5446)
% 70.68/35.85 |
% 70.68/35.85 +-Applying beta-rule and splitting (346), into two cases.
% 70.68/35.85 |-Branch one:
% 70.68/35.85 | (347) ~ (all_292_0_5446 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = all_292_0_5446
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (347) yields:
% 70.68/35.85 | (348) ~ (all_292_0_5446 = 0)
% 70.68/35.85 | (349) apply(all_0_7_7, all_68_0_119, all_136_3_141) = all_292_0_5446
% 70.68/35.85 |
% 70.68/35.85 | From (277) and (349) follows:
% 70.68/35.85 | (350) apply(all_0_7_7, all_68_0_119, all_129_0_131) = all_292_0_5446
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (98) with all_0_7_7, all_68_0_119, all_129_0_131, all_292_0_5446, 0 and discharging atoms apply(all_0_7_7, all_68_0_119, all_129_0_131) = all_292_0_5446, apply(all_0_7_7, all_68_0_119, all_129_0_131) = 0, yields:
% 70.68/35.85 | (351) all_292_0_5446 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (351) can reduce 348 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (353) ~ (all_292_0_5446 = 0) & member(all_78_0_123, all_0_3_3) = all_292_0_5446
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (353) yields:
% 70.68/35.85 | (348) ~ (all_292_0_5446 = 0)
% 70.68/35.85 | (355) member(all_78_0_123, all_0_3_3) = all_292_0_5446
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (51) with all_78_0_123, all_0_3_3, all_292_0_5446, 0 and discharging atoms member(all_78_0_123, all_0_3_3) = all_292_0_5446, member(all_78_0_123, all_0_3_3) = 0, yields:
% 70.68/35.85 | (351) all_292_0_5446 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (351) can reduce 348 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (358) ~ (all_292_0_5446 = 0) & member(all_68_0_119, all_0_4_4) = all_292_0_5446
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (358) yields:
% 70.68/35.85 | (348) ~ (all_292_0_5446 = 0)
% 70.68/35.85 | (360) member(all_68_0_119, all_0_4_4) = all_292_0_5446
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (51) with all_68_0_119, all_0_4_4, all_292_0_5446, 0 and discharging atoms member(all_68_0_119, all_0_4_4) = all_292_0_5446, member(all_68_0_119, all_0_4_4) = 0, yields:
% 70.68/35.85 | (351) all_292_0_5446 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (351) can reduce 348 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (363) ~ (all_136_3_141 = all_129_0_131)
% 70.68/35.85 | (364) ? [v0] : (( ~ (v0 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = v0) | ( ~ (v0 = 0) & member(all_129_0_131, all_0_3_3) = v0) | ( ~ (v0 = 0) & member(all_68_0_119, all_0_4_4) = v0))
% 70.68/35.85 |
% 70.68/35.85 | Instantiating (364) with all_272_0_6707 yields:
% 70.68/35.85 | (365) ( ~ (all_272_0_6707 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = all_272_0_6707) | ( ~ (all_272_0_6707 = 0) & member(all_129_0_131, all_0_3_3) = all_272_0_6707) | ( ~ (all_272_0_6707 = 0) & member(all_68_0_119, all_0_4_4) = all_272_0_6707)
% 70.68/35.85 |
% 70.68/35.85 +-Applying beta-rule and splitting (365), into two cases.
% 70.68/35.85 |-Branch one:
% 70.68/35.85 | (366) ( ~ (all_272_0_6707 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = all_272_0_6707) | ( ~ (all_272_0_6707 = 0) & member(all_129_0_131, all_0_3_3) = all_272_0_6707)
% 70.68/35.85 |
% 70.68/35.85 +-Applying beta-rule and splitting (366), into two cases.
% 70.68/35.85 |-Branch one:
% 70.68/35.85 | (367) ~ (all_272_0_6707 = 0) & apply(all_0_7_7, all_68_0_119, all_136_3_141) = all_272_0_6707
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (367) yields:
% 70.68/35.85 | (368) ~ (all_272_0_6707 = 0)
% 70.68/35.85 | (369) apply(all_0_7_7, all_68_0_119, all_136_3_141) = all_272_0_6707
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (98) with all_0_7_7, all_68_0_119, all_136_3_141, all_272_0_6707, 0 and discharging atoms apply(all_0_7_7, all_68_0_119, all_136_3_141) = all_272_0_6707, apply(all_0_7_7, all_68_0_119, all_136_3_141) = 0, yields:
% 70.68/35.85 | (370) all_272_0_6707 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (370) can reduce 368 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (372) ~ (all_272_0_6707 = 0) & member(all_129_0_131, all_0_3_3) = all_272_0_6707
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (372) yields:
% 70.68/35.85 | (368) ~ (all_272_0_6707 = 0)
% 70.68/35.85 | (374) member(all_129_0_131, all_0_3_3) = all_272_0_6707
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (51) with all_129_0_131, all_0_3_3, all_272_0_6707, 0 and discharging atoms member(all_129_0_131, all_0_3_3) = all_272_0_6707, member(all_129_0_131, all_0_3_3) = 0, yields:
% 70.68/35.85 | (370) all_272_0_6707 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (370) can reduce 368 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (377) ~ (all_272_0_6707 = 0) & member(all_68_0_119, all_0_4_4) = all_272_0_6707
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (377) yields:
% 70.68/35.85 | (368) ~ (all_272_0_6707 = 0)
% 70.68/35.85 | (379) member(all_68_0_119, all_0_4_4) = all_272_0_6707
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (51) with all_68_0_119, all_0_4_4, all_272_0_6707, 0 and discharging atoms member(all_68_0_119, all_0_4_4) = all_272_0_6707, member(all_68_0_119, all_0_4_4) = 0, yields:
% 70.68/35.85 | (370) all_272_0_6707 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (370) can reduce 368 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (382) ~ (all_137_3_145 = 0) & member(all_68_2_121, all_0_3_3) = all_137_3_145
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (382) yields:
% 70.68/35.85 | (383) ~ (all_137_3_145 = 0)
% 70.68/35.85 | (384) member(all_68_2_121, all_0_3_3) = all_137_3_145
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (51) with all_68_2_121, all_0_3_3, all_137_3_145, 0 and discharging atoms member(all_68_2_121, all_0_3_3) = all_137_3_145, member(all_68_2_121, all_0_3_3) = 0, yields:
% 70.68/35.85 | (385) all_137_3_145 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (385) can reduce 383 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (387) ~ (all_136_3_141 = 0) & member(all_68_0_119, all_0_4_4) = all_136_3_141
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (387) yields:
% 70.68/35.85 | (388) ~ (all_136_3_141 = 0)
% 70.68/35.85 | (389) member(all_68_0_119, all_0_4_4) = all_136_3_141
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (51) with all_68_0_119, all_0_4_4, all_136_3_141, 0 and discharging atoms member(all_68_0_119, all_0_4_4) = all_136_3_141, member(all_68_0_119, all_0_4_4) = 0, yields:
% 70.68/35.85 | (390) all_136_3_141 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (390) can reduce 388 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (392) ~ (all_76_0_122 = all_68_0_119)
% 70.68/35.85 | (393) ? [v0] : (( ~ (v0 = 0) & apply(all_0_5_5, all_68_2_121, all_68_0_119) = v0) | ( ~ (v0 = 0) & member(all_76_0_122, all_0_4_4) = v0) | ( ~ (v0 = 0) & member(all_68_2_121, all_0_3_3) = v0))
% 70.68/35.85 |
% 70.68/35.85 | Instantiating (393) with all_150_0_11840 yields:
% 70.68/35.85 | (394) ( ~ (all_150_0_11840 = 0) & apply(all_0_5_5, all_68_2_121, all_68_0_119) = all_150_0_11840) | ( ~ (all_150_0_11840 = 0) & member(all_76_0_122, all_0_4_4) = all_150_0_11840) | ( ~ (all_150_0_11840 = 0) & member(all_68_2_121, all_0_3_3) = all_150_0_11840)
% 70.68/35.85 |
% 70.68/35.85 +-Applying beta-rule and splitting (394), into two cases.
% 70.68/35.85 |-Branch one:
% 70.68/35.85 | (395) ( ~ (all_150_0_11840 = 0) & apply(all_0_5_5, all_68_2_121, all_68_0_119) = all_150_0_11840) | ( ~ (all_150_0_11840 = 0) & member(all_76_0_122, all_0_4_4) = all_150_0_11840)
% 70.68/35.85 |
% 70.68/35.85 +-Applying beta-rule and splitting (395), into two cases.
% 70.68/35.85 |-Branch one:
% 70.68/35.85 | (396) ~ (all_150_0_11840 = 0) & apply(all_0_5_5, all_68_2_121, all_68_0_119) = all_150_0_11840
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (396) yields:
% 70.68/35.85 | (397) ~ (all_150_0_11840 = 0)
% 70.68/35.85 | (398) apply(all_0_5_5, all_68_2_121, all_68_0_119) = all_150_0_11840
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (98) with all_0_5_5, all_68_2_121, all_68_0_119, all_150_0_11840, 0 and discharging atoms apply(all_0_5_5, all_68_2_121, all_68_0_119) = all_150_0_11840, apply(all_0_5_5, all_68_2_121, all_68_0_119) = 0, yields:
% 70.68/35.85 | (399) all_150_0_11840 = 0
% 70.68/35.85 |
% 70.68/35.85 | Equations (399) can reduce 397 to:
% 70.68/35.85 | (194) $false
% 70.68/35.85 |
% 70.68/35.85 |-The branch is then unsatisfiable
% 70.68/35.85 |-Branch two:
% 70.68/35.85 | (401) ~ (all_150_0_11840 = 0) & member(all_76_0_122, all_0_4_4) = all_150_0_11840
% 70.68/35.85 |
% 70.68/35.85 | Applying alpha-rule on (401) yields:
% 70.68/35.85 | (397) ~ (all_150_0_11840 = 0)
% 70.68/35.85 | (403) member(all_76_0_122, all_0_4_4) = all_150_0_11840
% 70.68/35.85 |
% 70.68/35.85 | Instantiating formula (51) with all_76_0_122, all_0_4_4, all_150_0_11840, 0 and discharging atoms member(all_76_0_122, all_0_4_4) = all_150_0_11840, member(all_76_0_122, all_0_4_4) = 0, yields:
% 70.68/35.86 | (399) all_150_0_11840 = 0
% 70.68/35.86 |
% 70.68/35.86 | Equations (399) can reduce 397 to:
% 70.68/35.86 | (194) $false
% 70.68/35.86 |
% 70.68/35.86 |-The branch is then unsatisfiable
% 70.68/35.86 |-Branch two:
% 70.68/35.86 | (406) ~ (all_150_0_11840 = 0) & member(all_68_2_121, all_0_3_3) = all_150_0_11840
% 70.68/35.86 |
% 70.68/35.86 | Applying alpha-rule on (406) yields:
% 70.68/35.86 | (397) ~ (all_150_0_11840 = 0)
% 70.68/35.86 | (408) member(all_68_2_121, all_0_3_3) = all_150_0_11840
% 70.68/35.86 |
% 70.68/35.86 | Instantiating formula (51) with all_68_2_121, all_0_3_3, all_150_0_11840, 0 and discharging atoms member(all_68_2_121, all_0_3_3) = all_150_0_11840, member(all_68_2_121, all_0_3_3) = 0, yields:
% 70.68/35.86 | (399) all_150_0_11840 = 0
% 70.68/35.86 |
% 70.68/35.86 | Equations (399) can reduce 397 to:
% 70.68/35.86 | (194) $false
% 70.68/35.86 |
% 70.68/35.86 |-The branch is then unsatisfiable
% 70.68/35.86 |-Branch two:
% 70.68/35.86 | (411) ~ (all_92_0_127 = 0) & member(all_68_1_120, all_0_4_4) = all_92_0_127
% 70.68/35.86 |
% 70.68/35.86 | Applying alpha-rule on (411) yields:
% 70.68/35.86 | (236) ~ (all_92_0_127 = 0)
% 70.68/35.86 | (413) member(all_68_1_120, all_0_4_4) = all_92_0_127
% 70.68/35.86 |
% 70.68/35.86 | Instantiating formula (51) with all_68_1_120, all_0_4_4, all_92_0_127, 0 and discharging atoms member(all_68_1_120, all_0_4_4) = all_92_0_127, member(all_68_1_120, all_0_4_4) = 0, yields:
% 70.68/35.86 | (293) all_92_0_127 = 0
% 70.68/35.86 |
% 70.68/35.86 | Equations (293) can reduce 236 to:
% 70.68/35.86 | (194) $false
% 70.68/35.86 |
% 70.68/35.86 |-The branch is then unsatisfiable
% 70.68/35.86 |-Branch two:
% 70.68/35.86 | (416) ~ (all_92_0_127 = 0) & member(all_68_2_121, all_0_3_3) = all_92_0_127
% 70.68/35.86 |
% 70.68/35.86 | Applying alpha-rule on (416) yields:
% 70.68/35.86 | (236) ~ (all_92_0_127 = 0)
% 70.68/35.86 | (418) member(all_68_2_121, all_0_3_3) = all_92_0_127
% 70.68/35.86 |
% 70.68/35.86 | Instantiating formula (51) with all_68_2_121, all_0_3_3, all_92_0_127, 0 and discharging atoms member(all_68_2_121, all_0_3_3) = all_92_0_127, member(all_68_2_121, all_0_3_3) = 0, yields:
% 70.68/35.86 | (293) all_92_0_127 = 0
% 70.68/35.86 |
% 70.68/35.86 | Equations (293) can reduce 236 to:
% 70.68/35.86 | (194) $false
% 70.68/35.86 |
% 70.68/35.86 |-The branch is then unsatisfiable
% 70.68/35.86 |-Branch two:
% 70.68/35.86 | (421) ~ (all_96_0_128 = 0) & apply(all_0_6_6, all_68_2_121, all_68_1_120) = all_96_0_128
% 70.68/35.86 |
% 70.68/35.86 | Applying alpha-rule on (421) yields:
% 70.68/35.86 | (232) ~ (all_96_0_128 = 0)
% 70.68/35.86 | (423) apply(all_0_6_6, all_68_2_121, all_68_1_120) = all_96_0_128
% 70.68/35.86 |
% 70.68/35.86 | Instantiating formula (98) with all_0_6_6, all_68_2_121, all_68_1_120, all_96_0_128, 0 and discharging atoms apply(all_0_6_6, all_68_2_121, all_68_1_120) = all_96_0_128, apply(all_0_6_6, all_68_2_121, all_68_1_120) = 0, yields:
% 70.68/35.86 | (424) all_96_0_128 = 0
% 70.68/35.86 |
% 70.68/35.86 | Equations (424) can reduce 232 to:
% 70.68/35.86 | (194) $false
% 70.68/35.86 |
% 70.68/35.86 |-The branch is then unsatisfiable
% 70.68/35.86 % SZS output end Proof for theBenchmark
% 70.68/35.86
% 70.68/35.86 35191ms
%------------------------------------------------------------------------------