TSTP Solution File: SET748+4 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET748+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 00:21:48 EDT 2022
% Result : Theorem 6.64s 2.09s
% Output : Proof 14.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET748+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 06:27:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.60/0.59 ____ _
% 0.60/0.59 ___ / __ \_____(_)___ ________ __________
% 0.60/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.60/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.60/0.59
% 0.60/0.59 A Theorem Prover for First-Order Logic
% 0.60/0.59 (ePrincess v.1.0)
% 0.60/0.59
% 0.60/0.59 (c) Philipp Rümmer, 2009-2015
% 0.60/0.59 (c) Peter Backeman, 2014-2015
% 0.60/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.59 Bug reports to peter@backeman.se
% 0.60/0.59
% 0.60/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.59
% 0.60/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.89/0.99 Prover 0: Preprocessing ...
% 3.25/1.34 Prover 0: Warning: ignoring some quantifiers
% 3.25/1.38 Prover 0: Constructing countermodel ...
% 4.51/1.64 Prover 0: gave up
% 4.51/1.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.51/1.69 Prover 1: Preprocessing ...
% 5.84/1.94 Prover 1: Constructing countermodel ...
% 6.64/2.08 Prover 1: proved (444ms)
% 6.64/2.09
% 6.64/2.09 No countermodel exists, formula is valid
% 6.64/2.09 % SZS status Theorem for theBenchmark
% 6.64/2.09
% 6.64/2.09 Generating proof ... found it (size 325)
% 13.48/3.69
% 13.48/3.69 % SZS output start Proof for theBenchmark
% 13.48/3.69 Assumed formulas after preprocessing and simplification:
% 13.48/3.69 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & decreasing(v8, v2, v5, v4, v7) = v9 & decreasing(v0, v2, v5, v3, v6) = 0 & increasing(v1, v3, v6, v4, v7) = 0 & compose_function(v1, v0, v2, v3, v4) = v8 & maps(v1, v3, v4) = 0 & maps(v0, v2, v3) = 0 & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (compose_function(v10, v11, v12, v13, v14) = v17) | ~ (apply(v17, v15, v16) = v18) | ~ (apply(v10, v19, v16) = 0) | ? [v20] : ? [v21] : ((apply(v11, v15, v19) = v21 & member(v19, v13) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))) | (member(v16, v14) = v21 & member(v15, v12) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v18 = 0 | ~ (compose_predicate(v10, v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v19, v17) = 0) | ~ (apply(v10, v16, v17) = v18) | ? [v20] : ? [v21] : ((apply(v12, v16, v19) = v21 & member(v19, v14) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))) | (member(v17, v15) = v21 & member(v16, v13) = v20 & ( ~ (v21 = 0) | ~ (v20 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (isomorphism(v10, v11, v12, v13, v14) = 0) | ~ (apply(v10, v17, v18) = 0) | ~ (apply(v10, v15, v16) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (apply(v14, v16, v18) = v24 & apply(v12, v15, v17) = v23 & member(v18, v13) = v22 & member(v17, v11) = v21 & member(v16, v13) = v20 & member(v15, v11) = v19 & ( ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | (( ~ (v24 = 0) | v23 = 0) & ( ~ (v23 = 0) | v24 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (decreasing(v10, v11, v12, v13, v14) = 0) | ~ (apply(v10, v17, v18) = 0) | ~ (apply(v10, v15, v16) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (apply(v14, v18, v16) = v24 & apply(v12, v15, v17) = v23 & member(v18, v13) = v22 & member(v17, v11) = v21 & member(v16, v13) = v20 & member(v15, v11) = v19 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v24 = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (increasing(v10, v11, v12, v13, v14) = 0) | ~ (apply(v10, v17, v18) = 0) | ~ (apply(v10, v15, v16) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (apply(v14, v16, v18) = v24 & apply(v12, v15, v17) = v23 & member(v18, v13) = v22 & member(v17, v11) = v21 & member(v16, v13) = v20 & member(v15, v11) = v19 & ( ~ (v23 = 0) | ~ (v22 = 0) | ~ (v21 = 0) | ~ (v20 = 0) | ~ (v19 = 0) | v24 = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v11 = v10 | ~ (compose_predicate(v17, v16, v15, v14, v13, v12) = v11) | ~ (compose_predicate(v17, v16, v15, v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (compose_function(v10, v11, v12, v13, v14) = v17) | ~ (apply(v17, v15, v16) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = 0 & v20 = 0 & v19 = 0 & apply(v11, v15, v18) = 0 & apply(v10, v18, v16) = 0 & member(v18, v13) = 0) | (member(v16, v14) = v19 & member(v15, v12) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (compose_predicate(v10, v11, v12, v13, v14, v15) = 0) | ~ (apply(v10, v16, v17) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = 0 & v20 = 0 & v19 = 0 & apply(v12, v16, v18) = 0 & apply(v11, v18, v17) = 0 & member(v18, v14) = 0) | (member(v17, v15) = v19 & member(v16, v13) = v18 & ( ~ (v19 = 0) | ~ (v18 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v15 | ~ (equal_maps(v10, v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (apply(v10, v14, v15) = 0) | ? [v17] : ? [v18] : ? [v19] : (member(v16, v13) = v19 & member(v15, v13) = v18 & member(v14, v12) = v17 & ( ~ (v19 = 0) | ~ (v18 = 0) | ~ (v17 = 0)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (compose_predicate(v10, v11, v12, v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (apply(v10, v17, v18) = v19 & member(v18, v15) = 0 & member(v17, v13) = 0 & ( ~ (v19 = 0) | ! [v24] : ( ~ (apply(v11, v24, v18) = 0) | ? [v25] : ? [v26] : (apply(v12, v17, v24) = v26 & member(v24, v14) = v25 & ( ~ (v26 = 0) | ~ (v25 = 0))))) & (v19 = 0 | (v23 = 0 & v22 = 0 & v21 = 0 & apply(v12, v17, v20) = 0 & apply(v11, v20, v18) = 0 & member(v20, v14) = 0)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (inverse_image3(v10, v11, v12) = v14) | ~ (apply(v10, v13, v16) = 0) | ~ (member(v13, v14) = v15) | ? [v17] : (( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v13, v12) = v17))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (image3(v10, v11, v12) = v14) | ~ (apply(v10, v16, v13) = 0) | ~ (member(v13, v14) = v15) | ? [v17] : (( ~ (v17 = 0) & member(v16, v11) = v17) | ( ~ (v17 = 0) & member(v13, v12) = v17))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v11 = v10 | ~ (isomorphism(v16, v15, v14, v13, v12) = v11) | ~ (isomorphism(v16, v15, v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v11 = v10 | ~ (decreasing(v16, v15, v14, v13, v12) = v11) | ~ (decreasing(v16, v15, v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v11 = v10 | ~ (increasing(v16, v15, v14, v13, v12) = v11) | ~ (increasing(v16, v15, v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v11 = v10 | ~ (compose_function(v16, v15, v14, v13, v12) = v11) | ~ (compose_function(v16, v15, v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (inverse_function(v10, v11, v12) = v15) | ~ (apply(v15, v14, v13) = v16) | ? [v17] : ? [v18] : ? [v19] : (apply(v10, v13, v14) = v19 & member(v14, v12) = v18 & member(v13, v11) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | (( ~ (v19 = 0) | v16 = 0) & ( ~ (v16 = 0) | v19 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (inverse_predicate(v10, v11, v12, v13) = 0) | ~ (apply(v10, v15, v14) = v16) | ? [v17] : ? [v18] : ? [v19] : (apply(v11, v14, v15) = v19 & member(v15, v13) = v18 & member(v14, v12) = v17 & ( ~ (v18 = 0) | ~ (v17 = 0) | (( ~ (v19 = 0) | v16 = 0) & ( ~ (v16 = 0) | v19 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (maps(v10, v11, v12) = 0) | ~ (apply(v10, v13, v15) = 0) | ~ (apply(v10, v13, v14) = 0) | ? [v16] : ? [v17] : ? [v18] : (member(v15, v12) = v18 & member(v14, v12) = v17 & member(v13, v11) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (isomorphism(v10, v11, v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ((v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & v20 = 0 & apply(v14, v17, v19) = v27 & apply(v12, v16, v18) = v26 & apply(v10, v18, v19) = 0 & apply(v10, v16, v17) = 0 & member(v19, v13) = 0 & member(v18, v11) = 0 & member(v17, v13) = 0 & member(v16, v11) = 0 & ( ~ (v27 = 0) | ~ (v26 = 0)) & (v27 = 0 | v26 = 0)) | (one_to_one(v10, v11, v13) = v17 & maps(v10, v11, v13) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (decreasing(v10, v11, v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ( ~ (v20 = 0) & apply(v14, v19, v17) = v20 & apply(v12, v16, v18) = 0 & apply(v10, v18, v19) = 0 & apply(v10, v16, v17) = 0 & member(v19, v13) = 0 & member(v18, v11) = 0 & member(v17, v13) = 0 & member(v16, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (increasing(v10, v11, v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ( ~ (v20 = 0) & apply(v14, v17, v19) = v20 & apply(v12, v16, v18) = 0 & apply(v10, v18, v19) = 0 & apply(v10, v16, v17) = 0 & member(v19, v13) = 0 & member(v18, v11) = 0 & member(v17, v13) = 0 & member(v16, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (injective(v10, v11, v12) = 0) | ~ (apply(v10, v14, v15) = 0) | ~ (apply(v10, v13, v15) = 0) | ? [v16] : ? [v17] : ? [v18] : (member(v15, v12) = v18 & member(v14, v11) = v17 & member(v13, v11) = v16 & ( ~ (v18 = 0) | ~ (v17 = 0) | ~ (v16 = 0)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (inverse_image2(v10, v11) = v13) | ~ (apply(v10, v12, v15) = 0) | ~ (member(v12, v13) = v14) | ? [v16] : ( ~ (v16 = 0) & member(v15, v11) = v16)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (image2(v10, v11) = v13) | ~ (apply(v10, v15, v12) = 0) | ~ (member(v12, v13) = v14) | ? [v16] : ( ~ (v16 = 0) & member(v15, v11) = v16)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v11 = v10 | ~ (inverse_predicate(v15, v14, v13, v12) = v11) | ~ (inverse_predicate(v15, v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v11 = v10 | ~ (equal_maps(v15, v14, v13, v12) = v11) | ~ (equal_maps(v15, v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (inverse_predicate(v10, v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : (apply(v11, v15, v16) = v17 & apply(v10, v16, v15) = v18 & member(v16, v13) = 0 & member(v15, v12) = 0 & ( ~ (v18 = 0) | ~ (v17 = 0)) & (v18 = 0 | v17 = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (equal_maps(v10, v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ( ~ (v17 = v16) & apply(v11, v15, v17) = 0 & apply(v10, v15, v16) = 0 & member(v17, v13) = 0 & member(v16, v13) = 0 & member(v15, v12) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (product(v11) = v12) | ~ (member(v10, v13) = v14) | ~ (member(v10, v12) = 0) | ? [v15] : ( ~ (v15 = 0) & member(v13, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (difference(v12, v11) = v13) | ~ (member(v10, v13) = v14) | ? [v15] : ? [v16] : (member(v10, v12) = v15 & member(v10, v11) = v16 & ( ~ (v15 = 0) | v16 = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (union(v11, v12) = v13) | ~ (member(v10, v13) = v14) | ? [v15] : ? [v16] : ( ~ (v16 = 0) & ~ (v15 = 0) & member(v10, v12) = v16 & member(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (intersection(v11, v12) = v13) | ~ (member(v10, v13) = v14) | ? [v15] : ? [v16] : (member(v10, v12) = v16 & member(v10, v11) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (sum(v11) = v12) | ~ (member(v10, v14) = 0) | ~ (member(v10, v12) = v13) | ? [v15] : ( ~ (v15 = 0) & member(v14, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (inverse_image3(v14, v13, v12) = v11) | ~ (inverse_image3(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (image3(v14, v13, v12) = v11) | ~ (image3(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (inverse_function(v14, v13, v12) = v11) | ~ (inverse_function(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (one_to_one(v14, v13, v12) = v11) | ~ (one_to_one(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (surjective(v14, v13, v12) = v11) | ~ (surjective(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (injective(v14, v13, v12) = v11) | ~ (injective(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (maps(v14, v13, v12) = v11) | ~ (maps(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v11 = v10 | ~ (apply(v14, v13, v12) = v11) | ~ (apply(v14, v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v10, v11, v12, v13, v14) = 0) | (one_to_one(v10, v11, v13) = 0 & maps(v10, v11, v13) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (inverse_image3(v10, v11, v12) = v14) | ~ (member(v13, v14) = 0) | member(v13, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (inverse_image3(v10, v11, v12) = v14) | ~ (member(v13, v14) = 0) | ? [v15] : (apply(v10, v13, v15) = 0 & member(v15, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (image3(v10, v11, v12) = v14) | ~ (member(v13, v14) = 0) | member(v13, v12) = 0) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (image3(v10, v11, v12) = v14) | ~ (member(v13, v14) = 0) | ? [v15] : (apply(v10, v15, v13) = 0 & member(v15, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (surjective(v10, v11, v12) = v13) | ? [v14] : (member(v14, v12) = 0 & ! [v15] : ( ~ (apply(v10, v15, v14) = 0) | ? [v16] : ( ~ (v16 = 0) & member(v15, v11) = v16)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (injective(v10, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ( ~ (v15 = v14) & apply(v10, v15, v16) = 0 & apply(v10, v14, v16) = 0 & member(v16, v12) = 0 & member(v15, v11) = 0 & member(v14, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (identity(v10, v11) = 0) | ~ (apply(v10, v12, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & member(v12, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (maps(v10, v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & ~ (v16 = v15) & apply(v10, v14, v16) = 0 & apply(v10, v14, v15) = 0 & member(v16, v12) = 0 & member(v15, v12) = 0 & member(v14, v11) = 0) | (v15 = 0 & member(v14, v11) = 0 & ! [v22] : ( ~ (apply(v10, v14, v22) = 0) | ? [v23] : ( ~ (v23 = 0) & member(v22, v12) = v23))))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (product(v11) = v12) | ~ (member(v10, v12) = v13) | ? [v14] : ? [v15] : ( ~ (v15 = 0) & member(v14, v11) = 0 & member(v10, v14) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (unordered_pair(v11, v10) = v12) | ~ (member(v10, v12) = v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (unordered_pair(v10, v11) = v12) | ~ (member(v10, v12) = v13)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (power_set(v11) = v12) | ~ (member(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & subset(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v12 = v10 | v11 = v10 | ~ (unordered_pair(v11, v12) = v13) | ~ (member(v10, v13) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (inverse_image2(v13, v12) = v11) | ~ (inverse_image2(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (image2(v13, v12) = v11) | ~ (image2(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (identity(v13, v12) = v11) | ~ (identity(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (unordered_pair(v13, v12) = v11) | ~ (unordered_pair(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (difference(v13, v12) = v11) | ~ (difference(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (union(v13, v12) = v11) | ~ (union(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (intersection(v13, v12) = v11) | ~ (intersection(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (equal_set(v13, v12) = v11) | ~ (equal_set(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (subset(v13, v12) = v11) | ~ (subset(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (member(v13, v12) = v11) | ~ (member(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (inverse_image2(v10, v11) = v13) | ~ (member(v12, v13) = 0) | ? [v14] : (apply(v10, v12, v14) = 0 & member(v14, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (image2(v10, v11) = v13) | ~ (member(v12, v13) = 0) | ? [v14] : (apply(v10, v14, v12) = 0 & member(v14, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (surjective(v10, v11, v12) = v13) | ? [v14] : ? [v15] : (one_to_one(v10, v11, v12) = v14 & injective(v10, v11, v12) = v15 & ( ~ (v14 = 0) | (v15 = 0 & v13 = 0)))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (surjective(v10, v11, v12) = 0) | ~ (member(v13, v12) = 0) | ? [v14] : (apply(v10, v14, v13) = 0 & member(v14, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (maps(v10, v11, v12) = 0) | ~ (member(v13, v11) = 0) | ? [v14] : (apply(v10, v13, v14) = 0 & member(v14, v12) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (difference(v12, v11) = v13) | ~ (member(v10, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & member(v10, v12) = 0 & member(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (union(v11, v12) = v13) | ~ (member(v10, v13) = 0) | ? [v14] : ? [v15] : (member(v10, v12) = v15 & member(v10, v11) = v14 & (v15 = 0 | v14 = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (intersection(v11, v12) = v13) | ~ (member(v10, v13) = 0) | (member(v10, v12) = 0 & member(v10, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (identity(v10, v11) = v12) | ? [v13] : ? [v14] : ( ~ (v14 = 0) & apply(v10, v13, v13) = v14 & member(v13, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (singleton(v10) = v11) | ~ (member(v10, v11) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (equal_set(v10, v11) = v12) | ? [v13] : ? [v14] : (subset(v11, v10) = v14 & subset(v10, v11) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0)))) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (subset(v10, v11) = v12) | ? [v13] : ? [v14] : ( ~ (v14 = 0) & member(v13, v11) = v14 & member(v13, v10) = 0)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (product(v12) = v11) | ~ (product(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (sum(v12) = v11) | ~ (sum(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (singleton(v12) = v11) | ~ (singleton(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (singleton(v11) = v12) | ~ (member(v10, v12) = 0)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (power_set(v12) = v11) | ~ (power_set(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (surjective(v10, v11, v12) = 0) | ? [v13] : ? [v14] : (one_to_one(v10, v11, v12) = v14 & injective(v10, v11, v12) = v13 & ( ~ (v13 = 0) | v14 = 0))) & ! [v10] : ! [v11] : ! [v12] : ( ~ (sum(v11) = v12) | ~ (member(v10, v12) = 0) | ? [v13] : (member(v13, v11) = 0 & member(v10, v13) = 0)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (power_set(v11) = v12) | ~ (member(v10, v12) = 0) | subset(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (subset(v10, v11) = 0) | ~ (member(v12, v10) = 0) | member(v12, v11) = 0) & ! [v10] : ! [v11] : ( ~ (equal_set(v10, v11) = 0) | (subset(v11, v10) = 0 & subset(v10, v11) = 0)) & ! [v10] : ~ (member(v10, empty_set) = 0))
% 13.84/3.77 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 13.84/3.77 | (1) ~ (all_0_0_0 = 0) & decreasing(all_0_1_1, all_0_7_7, all_0_4_4, all_0_5_5, all_0_2_2) = all_0_0_0 & decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0 & increasing(all_0_8_8, all_0_6_6, all_0_3_3, all_0_5_5, all_0_2_2) = 0 & compose_function(all_0_8_8, all_0_9_9, all_0_7_7, all_0_6_6, all_0_5_5) = all_0_1_1 & maps(all_0_8_8, all_0_6_6, all_0_5_5) = 0 & maps(all_0_9_9, all_0_7_7, all_0_6_6) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ? [v10] : ? [v11] : ((apply(v1, v5, v9) = v11 & member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v1, v9, v7) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : ? [v11] : ((apply(v2, v6, v9) = v11 & member(v9, v4) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v7, v5) = v11 & member(v6, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v14 = 0) | v13 = 0) & ( ~ (v13 = 0) | v14 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v8, v6) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v1, v5, v8) = 0 & apply(v0, v8, v6) = 0 & member(v8, v3) = 0) | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v2, v6, v8) = 0 & apply(v1, v8, v7) = 0 & member(v8, v4) = 0) | (member(v7, v5) = v9 & member(v6, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ? [v7] : ? [v8] : ? [v9] : (member(v6, v3) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v0, v7, v8) = v9 & member(v8, v5) = 0 & member(v7, v3) = 0 & ( ~ (v9 = 0) | ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : ? [v16] : (apply(v2, v7, v14) = v16 & member(v14, v4) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & (v9 = 0 | (v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (apply(v0, v3, v6) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (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] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~ (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, v4, v3) = v6) | ? [v7] : ? [v8] : ? [v9] : (apply(v0, v3, v4) = v9 & member(v4, v2) = v8 & member(v3, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : ? [v8] : ? [v9] : (apply(v1, v4, v5) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : ? [v7] : ? [v8] : (member(v5, v2) = v8 & member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & apply(v4, v7, v9) = v17 & apply(v2, v6, v8) = v16 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & ( ~ (v17 = 0) | ~ (v16 = 0)) & (v17 = 0 | v16 = 0)) | (one_to_one(v0, v1, v3) = v7 & maps(v0, v1, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v9, v7) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v7, v9) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (apply(v0, v3, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : (member(v5, v2) = v8 & member(v4, v1) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 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 | ~ (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] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (inverse_predicate(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (apply(v1, v5, v6) = v7 & apply(v0, v6, v5) = v8 & member(v6, v3) = 0 & member(v5, v2) = 0 & ( ~ (v8 = 0) | ~ (v7 = 0)) & (v8 = 0 | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 & member(v7, v3) = 0 & member(v6, v3) = 0 & member(v5, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v3) = v4) | ~ (member(v0, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & member(v3, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v5 & member(v0, v1) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v0, v2) = v6 & member(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v6 & member(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(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 | ~ (surjective(v0, v1, v2) = v3) | ? [v4] : (member(v4, v2) = 0 & ! [v5] : ( ~ (apply(v0, v5, v4) = 0) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = 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))))) & ! [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] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (one_to_one(v0, v1, v2) = v4 & injective(v0, v1, v2) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ? [v5] : (member(v0, v2) = v5 & member(v0, v1) = v4 & (v5 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : ? [v4] : (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & 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] : ( ~ (surjective(v0, v1, v2) = 0) | ? [v3] : ? [v4] : (one_to_one(v0, v1, v2) = v4 & injective(v0, v1, v2) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (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(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] : ~ (member(v0, empty_set) = 0)
% 13.92/3.80 |
% 13.92/3.80 | Applying alpha-rule on (1) yields:
% 13.92/3.80 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : ? [v7] : ? [v8] : (member(v5, v2) = v8 & member(v4, v2) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 13.92/3.80 | (3) ! [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))))
% 13.92/3.80 | (4) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0))
% 13.92/3.80 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 13.92/3.80 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (apply(v0, v3, v5) = 0) | ? [v6] : ? [v7] : ? [v8] : (member(v5, v2) = v8 & member(v4, v1) = v7 & member(v3, v1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0))))
% 13.92/3.80 | (7) ! [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))
% 13.92/3.80 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0))
% 13.92/3.80 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4))
% 13.92/3.80 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (one_to_one(v0, v1, v2) = v4 & injective(v0, v1, v2) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0))))
% 13.92/3.80 | (11) ! [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))
% 13.92/3.80 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0))
% 13.92/3.80 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v2, v6, v8) = 0 & apply(v1, v8, v7) = 0 & member(v8, v4) = 0) | (member(v7, v5) = v9 & member(v6, v3) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0)))))
% 13.92/3.80 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0))
% 13.92/3.80 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v1, v9, v7) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : ? [v11] : ((apply(v2, v6, v9) = v11 & member(v9, v4) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v7, v5) = v11 & member(v6, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))))
% 13.92/3.80 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0))
% 13.92/3.80 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0))
% 13.92/3.81 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0))
% 13.92/3.81 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0))
% 13.92/3.81 | (20) ! [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))
% 13.92/3.81 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0))
% 13.92/3.81 | (22) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0))
% 13.92/3.81 | (23) decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0
% 13.92/3.81 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0)
% 13.92/3.81 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0))
% 13.92/3.81 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0)
% 13.92/3.81 | (27) ! [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))
% 13.92/3.81 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0))
% 13.92/3.81 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0))
% 13.92/3.81 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0))
% 13.92/3.81 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ? [v5] : (member(v0, v2) = v5 & member(v0, v1) = v4 & (v5 = 0 | v4 = 0)))
% 13.92/3.81 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 13.92/3.81 | (33) ! [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)))
% 13.92/3.81 | (34) ! [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))
% 13.92/3.81 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (apply(v0, v7, v8) = v9 & member(v8, v5) = 0 & member(v7, v3) = 0 & ( ~ (v9 = 0) | ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : ? [v16] : (apply(v2, v7, v14) = v16 & member(v14, v4) = v15 & ( ~ (v16 = 0) | ~ (v15 = 0))))) & (v9 = 0 | (v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0))))
% 13.92/3.81 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0))
% 13.92/3.81 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 13.92/3.81 | (38) maps(all_0_8_8, all_0_6_6, all_0_5_5) = 0
% 13.92/3.81 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v6 & member(v0, v1) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0))))
% 13.92/3.81 | (40) ! [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))
% 13.92/3.81 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (surjective(v0, v1, v2) = 0) | ? [v3] : ? [v4] : (one_to_one(v0, v1, v2) = v4 & injective(v0, v1, v2) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 14.13/3.81 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0))
% 14.13/3.81 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : ? [v8] : ? [v9] : (apply(v1, v4, v5) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0)))))
% 14.13/3.81 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3))
% 14.13/3.81 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0))
% 14.13/3.81 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0))
% 14.13/3.82 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0))
% 14.13/3.82 | (48) ! [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))
% 14.13/3.82 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v8, v6) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = 0)))
% 14.13/3.82 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0))
% 14.13/3.82 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ? [v7] : ? [v8] : ? [v9] : (member(v6, v3) = v9 & member(v5, v3) = v8 & member(v4, v2) = v7 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0))))
% 14.13/3.82 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, v4, v3) = v6) | ? [v7] : ? [v8] : ? [v9] : (apply(v0, v3, v4) = v9 & member(v4, v2) = v8 & member(v3, v1) = v7 & ( ~ (v8 = 0) | ~ (v7 = 0) | (( ~ (v9 = 0) | v6 = 0) & ( ~ (v6 = 0) | v9 = 0)))))
% 14.13/3.82 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (inverse_predicate(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (apply(v1, v5, v6) = v7 & apply(v0, v6, v5) = v8 & member(v6, v3) = 0 & member(v5, v2) = 0 & ( ~ (v8 = 0) | ~ (v7 = 0)) & (v8 = 0 | v7 = 0)))
% 14.13/3.82 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0))
% 14.13/3.82 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3))
% 14.13/3.82 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0))
% 14.13/3.82 | (57) ! [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)))
% 14.13/3.82 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 14.13/3.82 | (59) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0))
% 14.13/3.82 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & apply(v4, v7, v9) = v17 & apply(v2, v6, v8) = v16 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & ( ~ (v17 = 0) | ~ (v16 = 0)) & (v17 = 0 | v16 = 0)) | (one_to_one(v0, v1, v3) = v7 & maps(v0, v1, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))))
% 14.13/3.82 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v1, v5, v8) = 0 & apply(v0, v8, v6) = 0 & member(v8, v3) = 0) | (member(v6, v4) = v9 & member(v5, v2) = v8 & ( ~ (v9 = 0) | ~ (v8 = 0)))))
% 14.13/3.82 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ? [v10] : ? [v11] : ((apply(v1, v5, v9) = v11 & member(v9, v3) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0))) | (member(v6, v4) = v11 & member(v5, v2) = v10 & ( ~ (v11 = 0) | ~ (v10 = 0)))))
% 14.13/3.82 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0))
% 14.13/3.82 | (64) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2))
% 14.13/3.82 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0))
% 14.13/3.82 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : (member(v0, v2) = v5 & member(v0, v1) = v6 & ( ~ (v5 = 0) | v6 = 0)))
% 14.13/3.82 | (67) ! [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))
% 14.13/3.82 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0))
% 14.13/3.82 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0))
% 14.13/3.82 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0))
% 14.13/3.83 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 14.13/3.83 | (72) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : ? [v4] : (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 14.13/3.83 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 14.13/3.83 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0))
% 14.13/3.83 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0))
% 14.13/3.83 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 14.13/3.83 | (77) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0))
% 14.13/3.83 | (78) ! [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))
% 14.13/3.83 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v13 = 0) | ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | v14 = 0)))
% 14.13/3.83 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4))
% 14.13/3.83 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0))
% 14.13/3.83 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0))
% 14.13/3.83 | (83) ! [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))
% 14.13/3.83 | (84) ! [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))
% 14.13/3.83 | (85) maps(all_0_9_9, all_0_7_7, all_0_6_6) = 0
% 14.13/3.83 | (86) ! [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))
% 14.13/3.83 | (87) increasing(all_0_8_8, all_0_6_6, all_0_3_3, all_0_5_5, all_0_2_2) = 0
% 14.13/3.83 | (88) compose_function(all_0_8_8, all_0_9_9, all_0_7_7, all_0_6_6, all_0_5_5) = all_0_1_1
% 14.13/3.83 | (89) decreasing(all_0_1_1, all_0_7_7, all_0_4_4, all_0_5_5, all_0_2_2) = all_0_0_0
% 14.13/3.83 | (90) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0))
% 14.13/3.83 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0))
% 14.13/3.83 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (apply(v4, v6, v8) = v14 & apply(v2, v5, v7) = v13 & member(v8, v3) = v12 & member(v7, v1) = v11 & member(v6, v3) = v10 & member(v5, v1) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | (( ~ (v14 = 0) | v13 = 0) & ( ~ (v13 = 0) | v14 = 0)))))
% 14.13/3.83 | (93) ! [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)))))
% 14.13/3.83 | (94) ! [v0] : ~ (member(v0, empty_set) = 0)
% 14.13/3.83 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0))
% 14.13/3.83 | (96) ~ (all_0_0_0 = 0)
% 14.13/3.83 | (97) ! [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))
% 14.13/3.83 |
% 14.13/3.83 | Instantiating formula (27) with all_0_0_0, all_0_2_2, all_0_5_5, all_0_4_4, all_0_7_7, all_0_1_1 and discharging atoms decreasing(all_0_1_1, all_0_7_7, all_0_4_4, all_0_5_5, all_0_2_2) = all_0_0_0, yields:
% 14.13/3.83 | (98) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(all_0_1_1, v2, v3) = 0 & apply(all_0_1_1, v0, v1) = 0 & apply(all_0_2_2, v3, v1) = v4 & apply(all_0_4_4, v0, v2) = 0 & member(v3, all_0_5_5) = 0 & member(v2, all_0_7_7) = 0 & member(v1, all_0_5_5) = 0 & member(v0, all_0_7_7) = 0)
% 14.13/3.84 |
% 14.13/3.84 +-Applying beta-rule and splitting (98), into two cases.
% 14.13/3.84 |-Branch one:
% 14.13/3.84 | (99) all_0_0_0 = 0
% 14.13/3.84 |
% 14.13/3.84 | Equations (99) can reduce 96 to:
% 14.13/3.84 | (100) $false
% 14.13/3.84 |
% 14.13/3.84 |-The branch is then unsatisfiable
% 14.13/3.84 |-Branch two:
% 14.13/3.84 | (96) ~ (all_0_0_0 = 0)
% 14.13/3.84 | (102) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(all_0_1_1, v2, v3) = 0 & apply(all_0_1_1, v0, v1) = 0 & apply(all_0_2_2, v3, v1) = v4 & apply(all_0_4_4, v0, v2) = 0 & member(v3, all_0_5_5) = 0 & member(v2, all_0_7_7) = 0 & member(v1, all_0_5_5) = 0 & member(v0, all_0_7_7) = 0)
% 14.13/3.84 |
% 14.13/3.84 | Instantiating (102) with all_10_0_10, all_10_1_11, all_10_2_12, all_10_3_13, all_10_4_14 yields:
% 14.13/3.84 | (103) ~ (all_10_0_10 = 0) & apply(all_0_1_1, all_10_2_12, all_10_1_11) = 0 & apply(all_0_1_1, all_10_4_14, all_10_3_13) = 0 & apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_10_0_10 & apply(all_0_4_4, all_10_4_14, all_10_2_12) = 0 & member(all_10_1_11, all_0_5_5) = 0 & member(all_10_2_12, all_0_7_7) = 0 & member(all_10_3_13, all_0_5_5) = 0 & member(all_10_4_14, all_0_7_7) = 0
% 14.13/3.84 |
% 14.13/3.84 | Applying alpha-rule on (103) yields:
% 14.13/3.84 | (104) apply(all_0_4_4, all_10_4_14, all_10_2_12) = 0
% 14.13/3.84 | (105) apply(all_0_1_1, all_10_4_14, all_10_3_13) = 0
% 14.13/3.84 | (106) member(all_10_4_14, all_0_7_7) = 0
% 14.13/3.84 | (107) apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_10_0_10
% 14.26/3.84 | (108) apply(all_0_1_1, all_10_2_12, all_10_1_11) = 0
% 14.26/3.84 | (109) member(all_10_3_13, all_0_5_5) = 0
% 14.26/3.84 | (110) member(all_10_1_11, all_0_5_5) = 0
% 14.26/3.84 | (111) member(all_10_2_12, all_0_7_7) = 0
% 14.26/3.84 | (112) ~ (all_10_0_10 = 0)
% 14.26/3.84 |
% 14.26/3.84 | Instantiating formula (61) with all_0_1_1, all_10_1_11, all_10_2_12, all_0_5_5, all_0_6_6, all_0_7_7, all_0_9_9, all_0_8_8 and discharging atoms compose_function(all_0_8_8, all_0_9_9, all_0_7_7, all_0_6_6, all_0_5_5) = all_0_1_1, apply(all_0_1_1, all_10_2_12, all_10_1_11) = 0, yields:
% 14.26/3.84 | (113) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & apply(all_0_8_8, v0, all_10_1_11) = 0 & apply(all_0_9_9, all_10_2_12, v0) = 0 & member(v0, all_0_6_6) = 0) | (member(all_10_1_11, all_0_5_5) = v1 & member(all_10_2_12, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 14.26/3.84 |
% 14.26/3.84 | Instantiating formula (61) with all_0_1_1, all_10_3_13, all_10_4_14, all_0_5_5, all_0_6_6, all_0_7_7, all_0_9_9, all_0_8_8 and discharging atoms compose_function(all_0_8_8, all_0_9_9, all_0_7_7, all_0_6_6, all_0_5_5) = all_0_1_1, apply(all_0_1_1, all_10_4_14, all_10_3_13) = 0, yields:
% 14.26/3.84 | (114) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & apply(all_0_8_8, v0, all_10_3_13) = 0 & apply(all_0_9_9, all_10_4_14, v0) = 0 & member(v0, all_0_6_6) = 0) | (member(all_10_3_13, all_0_5_5) = v1 & member(all_10_4_14, all_0_7_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))))
% 14.26/3.84 |
% 14.26/3.84 | Instantiating formula (46) with all_10_2_12, all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms maps(all_0_9_9, all_0_7_7, all_0_6_6) = 0, member(all_10_2_12, all_0_7_7) = 0, yields:
% 14.26/3.84 | (115) ? [v0] : (apply(all_0_9_9, all_10_2_12, v0) = 0 & member(v0, all_0_6_6) = 0)
% 14.26/3.84 |
% 14.26/3.84 | Instantiating formula (46) with all_10_4_14, all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms maps(all_0_9_9, all_0_7_7, all_0_6_6) = 0, member(all_10_4_14, all_0_7_7) = 0, yields:
% 14.26/3.84 | (116) ? [v0] : (apply(all_0_9_9, all_10_4_14, v0) = 0 & member(v0, all_0_6_6) = 0)
% 14.26/3.84 |
% 14.26/3.84 | Instantiating (116) with all_25_0_15 yields:
% 14.26/3.84 | (117) apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0 & member(all_25_0_15, all_0_6_6) = 0
% 14.26/3.84 |
% 14.26/3.84 | Applying alpha-rule on (117) yields:
% 14.26/3.84 | (118) apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0
% 14.26/3.84 | (119) member(all_25_0_15, all_0_6_6) = 0
% 14.26/3.84 |
% 14.26/3.84 | Instantiating (115) with all_27_0_16 yields:
% 14.26/3.84 | (120) apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0 & member(all_27_0_16, all_0_6_6) = 0
% 14.26/3.84 |
% 14.26/3.84 | Applying alpha-rule on (120) yields:
% 14.26/3.84 | (121) apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0
% 14.26/3.84 | (122) member(all_27_0_16, all_0_6_6) = 0
% 14.26/3.84 |
% 14.26/3.84 | Instantiating (114) with all_29_0_17, all_29_1_18, all_29_2_19, all_29_3_20 yields:
% 14.26/3.84 | (123) (all_29_0_17 = 0 & all_29_1_18 = 0 & all_29_2_19 = 0 & apply(all_0_8_8, all_29_3_20, all_10_3_13) = 0 & apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0 & member(all_29_3_20, all_0_6_6) = 0) | (member(all_10_3_13, all_0_5_5) = all_29_2_19 & member(all_10_4_14, all_0_7_7) = all_29_3_20 & ( ~ (all_29_2_19 = 0) | ~ (all_29_3_20 = 0)))
% 14.26/3.84 |
% 14.26/3.84 | Instantiating (113) with all_30_0_21, all_30_1_22, all_30_2_23, all_30_3_24 yields:
% 14.26/3.84 | (124) (all_30_0_21 = 0 & all_30_1_22 = 0 & all_30_2_23 = 0 & apply(all_0_8_8, all_30_3_24, all_10_1_11) = 0 & apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0 & member(all_30_3_24, all_0_6_6) = 0) | (member(all_10_1_11, all_0_5_5) = all_30_2_23 & member(all_10_2_12, all_0_7_7) = all_30_3_24 & ( ~ (all_30_2_23 = 0) | ~ (all_30_3_24 = 0)))
% 14.26/3.84 |
% 14.26/3.84 +-Applying beta-rule and splitting (124), into two cases.
% 14.26/3.84 |-Branch one:
% 14.26/3.84 | (125) all_30_0_21 = 0 & all_30_1_22 = 0 & all_30_2_23 = 0 & apply(all_0_8_8, all_30_3_24, all_10_1_11) = 0 & apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0 & member(all_30_3_24, all_0_6_6) = 0
% 14.26/3.84 |
% 14.26/3.84 | Applying alpha-rule on (125) yields:
% 14.26/3.84 | (126) all_30_1_22 = 0
% 14.26/3.84 | (127) apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0
% 14.26/3.84 | (128) member(all_30_3_24, all_0_6_6) = 0
% 14.26/3.84 | (129) all_30_2_23 = 0
% 14.26/3.84 | (130) apply(all_0_8_8, all_30_3_24, all_10_1_11) = 0
% 14.26/3.84 | (131) all_30_0_21 = 0
% 14.26/3.84 |
% 14.26/3.84 +-Applying beta-rule and splitting (123), into two cases.
% 14.26/3.84 |-Branch one:
% 14.26/3.84 | (132) all_29_0_17 = 0 & all_29_1_18 = 0 & all_29_2_19 = 0 & apply(all_0_8_8, all_29_3_20, all_10_3_13) = 0 & apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0 & member(all_29_3_20, all_0_6_6) = 0
% 14.26/3.84 |
% 14.26/3.84 | Applying alpha-rule on (132) yields:
% 14.26/3.84 | (133) all_29_2_19 = 0
% 14.26/3.84 | (134) apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0
% 14.26/3.84 | (135) all_29_1_18 = 0
% 14.26/3.84 | (136) apply(all_0_8_8, all_29_3_20, all_10_3_13) = 0
% 14.26/3.84 | (137) all_29_0_17 = 0
% 14.26/3.84 | (138) member(all_29_3_20, all_0_6_6) = 0
% 14.26/3.84 |
% 14.26/3.84 | Instantiating formula (79) with all_10_1_11, all_30_3_24, all_10_1_11, all_30_3_24, all_0_2_2, all_0_5_5, all_0_3_3, all_0_6_6, all_0_8_8 and discharging atoms increasing(all_0_8_8, all_0_6_6, all_0_3_3, all_0_5_5, all_0_2_2) = 0, apply(all_0_8_8, all_30_3_24, all_10_1_11) = 0, yields:
% 14.26/3.85 | (139) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_2_2, all_10_1_11, all_10_1_11) = v5 & apply(all_0_3_3, all_30_3_24, all_30_3_24) = v4 & member(all_30_3_24, all_0_6_6) = v2 & member(all_30_3_24, all_0_6_6) = v0 & member(all_10_1_11, all_0_5_5) = v3 & member(all_10_1_11, all_0_5_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (79) with all_10_3_13, all_29_3_20, all_10_1_11, all_30_3_24, all_0_2_2, all_0_5_5, all_0_3_3, all_0_6_6, all_0_8_8 and discharging atoms increasing(all_0_8_8, all_0_6_6, all_0_3_3, all_0_5_5, all_0_2_2) = 0, apply(all_0_8_8, all_30_3_24, all_10_1_11) = 0, apply(all_0_8_8, all_29_3_20, all_10_3_13) = 0, yields:
% 14.26/3.85 | (140) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_2_2, all_10_1_11, all_10_3_13) = v5 & apply(all_0_3_3, all_30_3_24, all_29_3_20) = v4 & member(all_30_3_24, all_0_6_6) = v0 & member(all_29_3_20, all_0_6_6) = v2 & member(all_10_1_11, all_0_5_5) = v1 & member(all_10_3_13, all_0_5_5) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (79) with all_10_1_11, all_30_3_24, all_10_3_13, all_29_3_20, all_0_2_2, all_0_5_5, all_0_3_3, all_0_6_6, all_0_8_8 and discharging atoms increasing(all_0_8_8, all_0_6_6, all_0_3_3, all_0_5_5, all_0_2_2) = 0, apply(all_0_8_8, all_30_3_24, all_10_1_11) = 0, apply(all_0_8_8, all_29_3_20, all_10_3_13) = 0, yields:
% 14.26/3.85 | (141) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_2_2, all_10_3_13, all_10_1_11) = v5 & apply(all_0_3_3, all_29_3_20, all_30_3_24) = v4 & member(all_30_3_24, all_0_6_6) = v2 & member(all_29_3_20, all_0_6_6) = v0 & member(all_10_1_11, all_0_5_5) = v3 & member(all_10_3_13, all_0_5_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (79) with all_10_3_13, all_29_3_20, all_10_3_13, all_29_3_20, all_0_2_2, all_0_5_5, all_0_3_3, all_0_6_6, all_0_8_8 and discharging atoms increasing(all_0_8_8, all_0_6_6, all_0_3_3, all_0_5_5, all_0_2_2) = 0, apply(all_0_8_8, all_29_3_20, all_10_3_13) = 0, yields:
% 14.26/3.85 | (142) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_2_2, all_10_3_13, all_10_3_13) = v5 & apply(all_0_3_3, all_29_3_20, all_29_3_20) = v4 & member(all_29_3_20, all_0_6_6) = v2 & member(all_29_3_20, all_0_6_6) = v0 & member(all_10_3_13, all_0_5_5) = v3 & member(all_10_3_13, all_0_5_5) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_30_3_24, all_10_2_12, all_30_3_24, all_10_2_12, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0, yields:
% 14.26/3.85 | (143) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_30_3_24, all_30_3_24) = v5 & apply(all_0_4_4, all_10_2_12, all_10_2_12) = v4 & member(all_30_3_24, all_0_6_6) = v3 & member(all_30_3_24, all_0_6_6) = v1 & member(all_10_2_12, all_0_7_7) = v2 & member(all_10_2_12, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_27_0_16, all_10_2_12, all_30_3_24, all_10_2_12, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0, apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0, yields:
% 14.26/3.85 | (144) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_27_0_16, all_30_3_24) = v5 & apply(all_0_4_4, all_10_2_12, all_10_2_12) = v4 & member(all_30_3_24, all_0_6_6) = v1 & member(all_27_0_16, all_0_6_6) = v3 & member(all_10_2_12, all_0_7_7) = v2 & member(all_10_2_12, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_30_3_24, all_10_2_12, all_27_0_16, all_10_2_12, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0, apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0, yields:
% 14.26/3.85 | (145) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_30_3_24, all_27_0_16) = v5 & apply(all_0_4_4, all_10_2_12, all_10_2_12) = v4 & member(all_30_3_24, all_0_6_6) = v3 & member(all_27_0_16, all_0_6_6) = v1 & member(all_10_2_12, all_0_7_7) = v2 & member(all_10_2_12, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_27_0_16, all_10_2_12, all_27_0_16, all_10_2_12, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0, yields:
% 14.26/3.85 | (146) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_27_0_16, all_27_0_16) = v5 & apply(all_0_4_4, all_10_2_12, all_10_2_12) = v4 & member(all_27_0_16, all_0_6_6) = v3 & member(all_27_0_16, all_0_6_6) = v1 & member(all_10_2_12, all_0_7_7) = v2 & member(all_10_2_12, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_29_3_20, all_10_4_14, all_30_3_24, all_10_2_12, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0, apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0, yields:
% 14.26/3.85 | (147) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_29_3_20, all_30_3_24) = v5 & apply(all_0_4_4, all_10_2_12, all_10_4_14) = v4 & member(all_30_3_24, all_0_6_6) = v1 & member(all_29_3_20, all_0_6_6) = v3 & member(all_10_2_12, all_0_7_7) = v0 & member(all_10_4_14, all_0_7_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_30_3_24, all_10_2_12, all_29_3_20, all_10_4_14, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0, apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0, yields:
% 14.26/3.85 | (148) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_30_3_24, all_29_3_20) = v5 & apply(all_0_4_4, all_10_4_14, all_10_2_12) = v4 & member(all_30_3_24, all_0_6_6) = v3 & member(all_29_3_20, all_0_6_6) = v1 & member(all_10_2_12, all_0_7_7) = v2 & member(all_10_4_14, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_29_3_20, all_10_4_14, all_27_0_16, all_10_2_12, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0, apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0, yields:
% 14.26/3.85 | (149) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_29_3_20, all_27_0_16) = v5 & apply(all_0_4_4, all_10_2_12, all_10_4_14) = v4 & member(all_29_3_20, all_0_6_6) = v3 & member(all_27_0_16, all_0_6_6) = v1 & member(all_10_2_12, all_0_7_7) = v0 & member(all_10_4_14, all_0_7_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_27_0_16, all_10_2_12, all_29_3_20, all_10_4_14, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0, apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0, yields:
% 14.26/3.85 | (150) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_27_0_16, all_29_3_20) = v5 & apply(all_0_4_4, all_10_4_14, all_10_2_12) = v4 & member(all_29_3_20, all_0_6_6) = v1 & member(all_27_0_16, all_0_6_6) = v3 & member(all_10_2_12, all_0_7_7) = v2 & member(all_10_4_14, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_29_3_20, all_10_4_14, all_29_3_20, all_10_4_14, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0, yields:
% 14.26/3.85 | (151) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_29_3_20, all_29_3_20) = v5 & apply(all_0_4_4, all_10_4_14, all_10_4_14) = v4 & member(all_29_3_20, all_0_6_6) = v3 & member(all_29_3_20, all_0_6_6) = v1 & member(all_10_4_14, all_0_7_7) = v2 & member(all_10_4_14, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.85 |
% 14.26/3.85 | Instantiating formula (49) with all_25_0_15, all_10_4_14, all_30_3_24, all_10_2_12, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0, apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0, yields:
% 14.26/3.86 | (152) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_25_0_15, all_30_3_24) = v5 & apply(all_0_4_4, all_10_2_12, all_10_4_14) = v4 & member(all_30_3_24, all_0_6_6) = v1 & member(all_25_0_15, all_0_6_6) = v3 & member(all_10_2_12, all_0_7_7) = v0 & member(all_10_4_14, all_0_7_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.86 |
% 14.26/3.86 | Instantiating formula (49) with all_30_3_24, all_10_2_12, all_25_0_15, all_10_4_14, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0, apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0, yields:
% 14.26/3.86 | (153) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_30_3_24, all_25_0_15) = v5 & apply(all_0_4_4, all_10_4_14, all_10_2_12) = v4 & member(all_30_3_24, all_0_6_6) = v3 & member(all_25_0_15, all_0_6_6) = v1 & member(all_10_2_12, all_0_7_7) = v2 & member(all_10_4_14, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.86 |
% 14.26/3.86 | Instantiating formula (49) with all_25_0_15, all_10_4_14, all_27_0_16, all_10_2_12, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0, apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0, yields:
% 14.26/3.86 | (154) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_25_0_15, all_27_0_16) = v5 & apply(all_0_4_4, all_10_2_12, all_10_4_14) = v4 & member(all_27_0_16, all_0_6_6) = v1 & member(all_25_0_15, all_0_6_6) = v3 & member(all_10_2_12, all_0_7_7) = v0 & member(all_10_4_14, all_0_7_7) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.86 |
% 14.26/3.86 | Instantiating formula (49) with all_27_0_16, all_10_2_12, all_25_0_15, all_10_4_14, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0, apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0, yields:
% 14.26/3.86 | (155) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_27_0_16, all_25_0_15) = v5 & apply(all_0_4_4, all_10_4_14, all_10_2_12) = v4 & member(all_27_0_16, all_0_6_6) = v3 & member(all_25_0_15, all_0_6_6) = v1 & member(all_10_2_12, all_0_7_7) = v2 & member(all_10_4_14, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.86 |
% 14.26/3.86 | Instantiating formula (49) with all_25_0_15, all_10_4_14, all_29_3_20, all_10_4_14, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0, apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0, yields:
% 14.26/3.86 | (156) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_25_0_15, all_29_3_20) = v5 & apply(all_0_4_4, all_10_4_14, all_10_4_14) = v4 & member(all_29_3_20, all_0_6_6) = v1 & member(all_25_0_15, all_0_6_6) = v3 & member(all_10_4_14, all_0_7_7) = v2 & member(all_10_4_14, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.86 |
% 14.26/3.86 | Instantiating formula (49) with all_29_3_20, all_10_4_14, all_25_0_15, all_10_4_14, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0, apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0, yields:
% 14.26/3.86 | (157) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_29_3_20, all_25_0_15) = v5 & apply(all_0_4_4, all_10_4_14, all_10_4_14) = v4 & member(all_29_3_20, all_0_6_6) = v3 & member(all_25_0_15, all_0_6_6) = v1 & member(all_10_4_14, all_0_7_7) = v2 & member(all_10_4_14, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.86 |
% 14.26/3.86 | Instantiating formula (49) with all_25_0_15, all_10_4_14, all_25_0_15, all_10_4_14, all_0_3_3, all_0_6_6, all_0_4_4, all_0_7_7, all_0_9_9 and discharging atoms decreasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0, apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0, yields:
% 14.26/3.86 | (158) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (apply(all_0_3_3, all_25_0_15, all_25_0_15) = v5 & apply(all_0_4_4, all_10_4_14, all_10_4_14) = v4 & member(all_25_0_15, all_0_6_6) = v3 & member(all_25_0_15, all_0_6_6) = v1 & member(all_10_4_14, all_0_7_7) = v2 & member(all_10_4_14, all_0_7_7) = v0 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v5 = 0))
% 14.26/3.86 |
% 14.26/3.86 | Instantiating (151) with all_56_0_27, all_56_1_28, all_56_2_29, all_56_3_30, all_56_4_31, all_56_5_32 yields:
% 14.26/3.86 | (159) apply(all_0_3_3, all_29_3_20, all_29_3_20) = all_56_0_27 & apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_56_1_28 & member(all_29_3_20, all_0_6_6) = all_56_2_29 & member(all_29_3_20, all_0_6_6) = all_56_4_31 & member(all_10_4_14, all_0_7_7) = all_56_3_30 & member(all_10_4_14, all_0_7_7) = all_56_5_32 & ( ~ (all_56_1_28 = 0) | ~ (all_56_2_29 = 0) | ~ (all_56_3_30 = 0) | ~ (all_56_4_31 = 0) | ~ (all_56_5_32 = 0) | all_56_0_27 = 0)
% 14.26/3.86 |
% 14.26/3.86 | Applying alpha-rule on (159) yields:
% 14.26/3.86 | (160) member(all_10_4_14, all_0_7_7) = all_56_5_32
% 14.26/3.86 | (161) apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_56_1_28
% 14.26/3.86 | (162) member(all_10_4_14, all_0_7_7) = all_56_3_30
% 14.26/3.86 | (163) apply(all_0_3_3, all_29_3_20, all_29_3_20) = all_56_0_27
% 14.26/3.86 | (164) ~ (all_56_1_28 = 0) | ~ (all_56_2_29 = 0) | ~ (all_56_3_30 = 0) | ~ (all_56_4_31 = 0) | ~ (all_56_5_32 = 0) | all_56_0_27 = 0
% 14.26/3.86 | (165) member(all_29_3_20, all_0_6_6) = all_56_2_29
% 14.26/3.86 | (166) member(all_29_3_20, all_0_6_6) = all_56_4_31
% 14.26/3.86 |
% 14.26/3.86 | Instantiating (148) with all_58_0_33, all_58_1_34, all_58_2_35, all_58_3_36, all_58_4_37, all_58_5_38 yields:
% 14.26/3.86 | (167) apply(all_0_3_3, all_30_3_24, all_29_3_20) = all_58_0_33 & apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_58_1_34 & member(all_30_3_24, all_0_6_6) = all_58_2_35 & member(all_29_3_20, all_0_6_6) = all_58_4_37 & member(all_10_2_12, all_0_7_7) = all_58_3_36 & member(all_10_4_14, all_0_7_7) = all_58_5_38 & ( ~ (all_58_1_34 = 0) | ~ (all_58_2_35 = 0) | ~ (all_58_3_36 = 0) | ~ (all_58_4_37 = 0) | ~ (all_58_5_38 = 0) | all_58_0_33 = 0)
% 14.26/3.86 |
% 14.26/3.86 | Applying alpha-rule on (167) yields:
% 14.26/3.86 | (168) member(all_29_3_20, all_0_6_6) = all_58_4_37
% 14.26/3.86 | (169) apply(all_0_3_3, all_30_3_24, all_29_3_20) = all_58_0_33
% 14.26/3.86 | (170) ~ (all_58_1_34 = 0) | ~ (all_58_2_35 = 0) | ~ (all_58_3_36 = 0) | ~ (all_58_4_37 = 0) | ~ (all_58_5_38 = 0) | all_58_0_33 = 0
% 14.26/3.86 | (171) member(all_10_4_14, all_0_7_7) = all_58_5_38
% 14.26/3.86 | (172) member(all_30_3_24, all_0_6_6) = all_58_2_35
% 14.26/3.86 | (173) member(all_10_2_12, all_0_7_7) = all_58_3_36
% 14.26/3.86 | (174) apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_58_1_34
% 14.26/3.86 |
% 14.26/3.86 | Instantiating (142) with all_60_0_39, all_60_1_40, all_60_2_41, all_60_3_42, all_60_4_43, all_60_5_44 yields:
% 14.26/3.86 | (175) apply(all_0_2_2, all_10_3_13, all_10_3_13) = all_60_0_39 & apply(all_0_3_3, all_29_3_20, all_29_3_20) = all_60_1_40 & member(all_29_3_20, all_0_6_6) = all_60_3_42 & member(all_29_3_20, all_0_6_6) = all_60_5_44 & member(all_10_3_13, all_0_5_5) = all_60_2_41 & member(all_10_3_13, all_0_5_5) = all_60_4_43 & ( ~ (all_60_1_40 = 0) | ~ (all_60_2_41 = 0) | ~ (all_60_3_42 = 0) | ~ (all_60_4_43 = 0) | ~ (all_60_5_44 = 0) | all_60_0_39 = 0)
% 14.26/3.86 |
% 14.26/3.86 | Applying alpha-rule on (175) yields:
% 14.26/3.86 | (176) member(all_10_3_13, all_0_5_5) = all_60_2_41
% 14.26/3.86 | (177) apply(all_0_3_3, all_29_3_20, all_29_3_20) = all_60_1_40
% 14.26/3.86 | (178) member(all_29_3_20, all_0_6_6) = all_60_3_42
% 14.26/3.86 | (179) apply(all_0_2_2, all_10_3_13, all_10_3_13) = all_60_0_39
% 14.26/3.86 | (180) member(all_29_3_20, all_0_6_6) = all_60_5_44
% 14.26/3.86 | (181) ~ (all_60_1_40 = 0) | ~ (all_60_2_41 = 0) | ~ (all_60_3_42 = 0) | ~ (all_60_4_43 = 0) | ~ (all_60_5_44 = 0) | all_60_0_39 = 0
% 14.26/3.86 | (182) member(all_10_3_13, all_0_5_5) = all_60_4_43
% 14.26/3.86 |
% 14.26/3.86 | Instantiating (141) with all_62_0_45, all_62_1_46, all_62_2_47, all_62_3_48, all_62_4_49, all_62_5_50 yields:
% 14.26/3.86 | (183) apply(all_0_2_2, all_10_3_13, all_10_1_11) = all_62_0_45 & apply(all_0_3_3, all_29_3_20, all_30_3_24) = all_62_1_46 & member(all_30_3_24, all_0_6_6) = all_62_3_48 & member(all_29_3_20, all_0_6_6) = all_62_5_50 & member(all_10_1_11, all_0_5_5) = all_62_2_47 & member(all_10_3_13, all_0_5_5) = all_62_4_49 & ( ~ (all_62_1_46 = 0) | ~ (all_62_2_47 = 0) | ~ (all_62_3_48 = 0) | ~ (all_62_4_49 = 0) | ~ (all_62_5_50 = 0) | all_62_0_45 = 0)
% 14.26/3.87 |
% 14.26/3.87 | Applying alpha-rule on (183) yields:
% 14.26/3.87 | (184) member(all_29_3_20, all_0_6_6) = all_62_5_50
% 14.26/3.87 | (185) member(all_10_1_11, all_0_5_5) = all_62_2_47
% 14.26/3.87 | (186) ~ (all_62_1_46 = 0) | ~ (all_62_2_47 = 0) | ~ (all_62_3_48 = 0) | ~ (all_62_4_49 = 0) | ~ (all_62_5_50 = 0) | all_62_0_45 = 0
% 14.26/3.87 | (187) member(all_30_3_24, all_0_6_6) = all_62_3_48
% 14.26/3.87 | (188) apply(all_0_3_3, all_29_3_20, all_30_3_24) = all_62_1_46
% 14.26/3.87 | (189) member(all_10_3_13, all_0_5_5) = all_62_4_49
% 14.26/3.87 | (190) apply(all_0_2_2, all_10_3_13, all_10_1_11) = all_62_0_45
% 14.26/3.87 |
% 14.26/3.87 | Instantiating (139) with all_64_0_51, all_64_1_52, all_64_2_53, all_64_3_54, all_64_4_55, all_64_5_56 yields:
% 14.26/3.87 | (191) apply(all_0_2_2, all_10_1_11, all_10_1_11) = all_64_0_51 & apply(all_0_3_3, all_30_3_24, all_30_3_24) = all_64_1_52 & member(all_30_3_24, all_0_6_6) = all_64_3_54 & member(all_30_3_24, all_0_6_6) = all_64_5_56 & member(all_10_1_11, all_0_5_5) = all_64_2_53 & member(all_10_1_11, all_0_5_5) = all_64_4_55 & ( ~ (all_64_1_52 = 0) | ~ (all_64_2_53 = 0) | ~ (all_64_3_54 = 0) | ~ (all_64_4_55 = 0) | ~ (all_64_5_56 = 0) | all_64_0_51 = 0)
% 14.26/3.87 |
% 14.26/3.87 | Applying alpha-rule on (191) yields:
% 14.26/3.87 | (192) member(all_30_3_24, all_0_6_6) = all_64_3_54
% 14.26/3.87 | (193) member(all_10_1_11, all_0_5_5) = all_64_4_55
% 14.26/3.87 | (194) ~ (all_64_1_52 = 0) | ~ (all_64_2_53 = 0) | ~ (all_64_3_54 = 0) | ~ (all_64_4_55 = 0) | ~ (all_64_5_56 = 0) | all_64_0_51 = 0
% 14.26/3.87 | (195) apply(all_0_2_2, all_10_1_11, all_10_1_11) = all_64_0_51
% 14.26/3.87 | (196) apply(all_0_3_3, all_30_3_24, all_30_3_24) = all_64_1_52
% 14.26/3.87 | (197) member(all_10_1_11, all_0_5_5) = all_64_2_53
% 14.26/3.87 | (198) member(all_30_3_24, all_0_6_6) = all_64_5_56
% 14.26/3.87 |
% 14.26/3.87 | Instantiating (147) with all_66_0_57, all_66_1_58, all_66_2_59, all_66_3_60, all_66_4_61, all_66_5_62 yields:
% 14.26/3.87 | (199) apply(all_0_3_3, all_29_3_20, all_30_3_24) = all_66_0_57 & apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_66_1_58 & member(all_30_3_24, all_0_6_6) = all_66_4_61 & member(all_29_3_20, all_0_6_6) = all_66_2_59 & member(all_10_2_12, all_0_7_7) = all_66_5_62 & member(all_10_4_14, all_0_7_7) = all_66_3_60 & ( ~ (all_66_1_58 = 0) | ~ (all_66_2_59 = 0) | ~ (all_66_3_60 = 0) | ~ (all_66_4_61 = 0) | ~ (all_66_5_62 = 0) | all_66_0_57 = 0)
% 14.26/3.87 |
% 14.26/3.87 | Applying alpha-rule on (199) yields:
% 14.26/3.87 | (200) apply(all_0_3_3, all_29_3_20, all_30_3_24) = all_66_0_57
% 14.26/3.87 | (201) member(all_10_2_12, all_0_7_7) = all_66_5_62
% 14.26/3.87 | (202) member(all_29_3_20, all_0_6_6) = all_66_2_59
% 14.26/3.87 | (203) ~ (all_66_1_58 = 0) | ~ (all_66_2_59 = 0) | ~ (all_66_3_60 = 0) | ~ (all_66_4_61 = 0) | ~ (all_66_5_62 = 0) | all_66_0_57 = 0
% 14.26/3.87 | (204) apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_66_1_58
% 14.26/3.87 | (205) member(all_30_3_24, all_0_6_6) = all_66_4_61
% 14.26/3.87 | (206) member(all_10_4_14, all_0_7_7) = all_66_3_60
% 14.26/3.87 |
% 14.26/3.87 | Instantiating (150) with all_72_0_65, all_72_1_66, all_72_2_67, all_72_3_68, all_72_4_69, all_72_5_70 yields:
% 14.26/3.87 | (207) apply(all_0_3_3, all_27_0_16, all_29_3_20) = all_72_0_65 & apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_72_1_66 & member(all_29_3_20, all_0_6_6) = all_72_4_69 & member(all_27_0_16, all_0_6_6) = all_72_2_67 & member(all_10_2_12, all_0_7_7) = all_72_3_68 & member(all_10_4_14, all_0_7_7) = all_72_5_70 & ( ~ (all_72_1_66 = 0) | ~ (all_72_2_67 = 0) | ~ (all_72_3_68 = 0) | ~ (all_72_4_69 = 0) | ~ (all_72_5_70 = 0) | all_72_0_65 = 0)
% 14.26/3.87 |
% 14.26/3.87 | Applying alpha-rule on (207) yields:
% 14.26/3.87 | (208) ~ (all_72_1_66 = 0) | ~ (all_72_2_67 = 0) | ~ (all_72_3_68 = 0) | ~ (all_72_4_69 = 0) | ~ (all_72_5_70 = 0) | all_72_0_65 = 0
% 14.26/3.87 | (209) apply(all_0_3_3, all_27_0_16, all_29_3_20) = all_72_0_65
% 14.26/3.87 | (210) member(all_10_4_14, all_0_7_7) = all_72_5_70
% 14.26/3.87 | (211) member(all_10_2_12, all_0_7_7) = all_72_3_68
% 14.26/3.87 | (212) member(all_27_0_16, all_0_6_6) = all_72_2_67
% 14.26/3.87 | (213) member(all_29_3_20, all_0_6_6) = all_72_4_69
% 14.26/3.87 | (214) apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_72_1_66
% 14.26/3.87 |
% 14.26/3.87 | Instantiating (146) with all_74_0_71, all_74_1_72, all_74_2_73, all_74_3_74, all_74_4_75, all_74_5_76 yields:
% 14.26/3.87 | (215) apply(all_0_3_3, all_27_0_16, all_27_0_16) = all_74_0_71 & apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_74_1_72 & member(all_27_0_16, all_0_6_6) = all_74_2_73 & member(all_27_0_16, all_0_6_6) = all_74_4_75 & member(all_10_2_12, all_0_7_7) = all_74_3_74 & member(all_10_2_12, all_0_7_7) = all_74_5_76 & ( ~ (all_74_1_72 = 0) | ~ (all_74_2_73 = 0) | ~ (all_74_3_74 = 0) | ~ (all_74_4_75 = 0) | ~ (all_74_5_76 = 0) | all_74_0_71 = 0)
% 14.26/3.87 |
% 14.26/3.87 | Applying alpha-rule on (215) yields:
% 14.26/3.87 | (216) member(all_27_0_16, all_0_6_6) = all_74_4_75
% 14.26/3.87 | (217) member(all_27_0_16, all_0_6_6) = all_74_2_73
% 14.26/3.87 | (218) apply(all_0_3_3, all_27_0_16, all_27_0_16) = all_74_0_71
% 14.26/3.87 | (219) ~ (all_74_1_72 = 0) | ~ (all_74_2_73 = 0) | ~ (all_74_3_74 = 0) | ~ (all_74_4_75 = 0) | ~ (all_74_5_76 = 0) | all_74_0_71 = 0
% 14.26/3.87 | (220) apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_74_1_72
% 14.26/3.87 | (221) member(all_10_2_12, all_0_7_7) = all_74_3_74
% 14.26/3.87 | (222) member(all_10_2_12, all_0_7_7) = all_74_5_76
% 14.26/3.87 |
% 14.26/3.87 | Instantiating (143) with all_76_0_77, all_76_1_78, all_76_2_79, all_76_3_80, all_76_4_81, all_76_5_82 yields:
% 14.26/3.87 | (223) apply(all_0_3_3, all_30_3_24, all_30_3_24) = all_76_0_77 & apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_76_1_78 & member(all_30_3_24, all_0_6_6) = all_76_2_79 & member(all_30_3_24, all_0_6_6) = all_76_4_81 & member(all_10_2_12, all_0_7_7) = all_76_3_80 & member(all_10_2_12, all_0_7_7) = all_76_5_82 & ( ~ (all_76_1_78 = 0) | ~ (all_76_2_79 = 0) | ~ (all_76_3_80 = 0) | ~ (all_76_4_81 = 0) | ~ (all_76_5_82 = 0) | all_76_0_77 = 0)
% 14.26/3.87 |
% 14.26/3.87 | Applying alpha-rule on (223) yields:
% 14.26/3.87 | (224) apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_76_1_78
% 14.26/3.87 | (225) member(all_30_3_24, all_0_6_6) = all_76_2_79
% 14.26/3.87 | (226) apply(all_0_3_3, all_30_3_24, all_30_3_24) = all_76_0_77
% 14.26/3.87 | (227) member(all_10_2_12, all_0_7_7) = all_76_3_80
% 14.26/3.87 | (228) member(all_30_3_24, all_0_6_6) = all_76_4_81
% 14.26/3.87 | (229) member(all_10_2_12, all_0_7_7) = all_76_5_82
% 14.26/3.87 | (230) ~ (all_76_1_78 = 0) | ~ (all_76_2_79 = 0) | ~ (all_76_3_80 = 0) | ~ (all_76_4_81 = 0) | ~ (all_76_5_82 = 0) | all_76_0_77 = 0
% 14.26/3.87 |
% 14.26/3.87 | Instantiating (145) with all_78_0_83, all_78_1_84, all_78_2_85, all_78_3_86, all_78_4_87, all_78_5_88 yields:
% 14.26/3.87 | (231) apply(all_0_3_3, all_30_3_24, all_27_0_16) = all_78_0_83 & apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_78_1_84 & member(all_30_3_24, all_0_6_6) = all_78_2_85 & member(all_27_0_16, all_0_6_6) = all_78_4_87 & member(all_10_2_12, all_0_7_7) = all_78_3_86 & member(all_10_2_12, all_0_7_7) = all_78_5_88 & ( ~ (all_78_1_84 = 0) | ~ (all_78_2_85 = 0) | ~ (all_78_3_86 = 0) | ~ (all_78_4_87 = 0) | ~ (all_78_5_88 = 0) | all_78_0_83 = 0)
% 14.26/3.87 |
% 14.26/3.87 | Applying alpha-rule on (231) yields:
% 14.26/3.87 | (232) ~ (all_78_1_84 = 0) | ~ (all_78_2_85 = 0) | ~ (all_78_3_86 = 0) | ~ (all_78_4_87 = 0) | ~ (all_78_5_88 = 0) | all_78_0_83 = 0
% 14.26/3.88 | (233) member(all_10_2_12, all_0_7_7) = all_78_3_86
% 14.26/3.88 | (234) member(all_27_0_16, all_0_6_6) = all_78_4_87
% 14.26/3.88 | (235) apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_78_1_84
% 14.26/3.88 | (236) apply(all_0_3_3, all_30_3_24, all_27_0_16) = all_78_0_83
% 14.26/3.88 | (237) member(all_10_2_12, all_0_7_7) = all_78_5_88
% 14.26/3.88 | (238) member(all_30_3_24, all_0_6_6) = all_78_2_85
% 14.26/3.88 |
% 14.26/3.88 | Instantiating (140) with all_80_0_89, all_80_1_90, all_80_2_91, all_80_3_92, all_80_4_93, all_80_5_94 yields:
% 14.26/3.88 | (239) apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_80_0_89 & apply(all_0_3_3, all_30_3_24, all_29_3_20) = all_80_1_90 & member(all_30_3_24, all_0_6_6) = all_80_5_94 & member(all_29_3_20, all_0_6_6) = all_80_3_92 & member(all_10_1_11, all_0_5_5) = all_80_4_93 & member(all_10_3_13, all_0_5_5) = all_80_2_91 & ( ~ (all_80_1_90 = 0) | ~ (all_80_2_91 = 0) | ~ (all_80_3_92 = 0) | ~ (all_80_4_93 = 0) | ~ (all_80_5_94 = 0) | all_80_0_89 = 0)
% 14.26/3.88 |
% 14.26/3.88 | Applying alpha-rule on (239) yields:
% 14.26/3.88 | (240) member(all_10_1_11, all_0_5_5) = all_80_4_93
% 14.26/3.88 | (241) ~ (all_80_1_90 = 0) | ~ (all_80_2_91 = 0) | ~ (all_80_3_92 = 0) | ~ (all_80_4_93 = 0) | ~ (all_80_5_94 = 0) | all_80_0_89 = 0
% 14.26/3.88 | (242) apply(all_0_3_3, all_30_3_24, all_29_3_20) = all_80_1_90
% 14.26/3.88 | (243) apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_80_0_89
% 14.26/3.88 | (244) member(all_10_3_13, all_0_5_5) = all_80_2_91
% 14.26/3.88 | (245) member(all_30_3_24, all_0_6_6) = all_80_5_94
% 14.26/3.88 | (246) member(all_29_3_20, all_0_6_6) = all_80_3_92
% 14.26/3.88 |
% 14.26/3.88 | Instantiating (144) with all_82_0_95, all_82_1_96, all_82_2_97, all_82_3_98, all_82_4_99, all_82_5_100 yields:
% 14.26/3.88 | (247) apply(all_0_3_3, all_27_0_16, all_30_3_24) = all_82_0_95 & apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_82_1_96 & member(all_30_3_24, all_0_6_6) = all_82_4_99 & member(all_27_0_16, all_0_6_6) = all_82_2_97 & member(all_10_2_12, all_0_7_7) = all_82_3_98 & member(all_10_2_12, all_0_7_7) = all_82_5_100 & ( ~ (all_82_1_96 = 0) | ~ (all_82_2_97 = 0) | ~ (all_82_3_98 = 0) | ~ (all_82_4_99 = 0) | ~ (all_82_5_100 = 0) | all_82_0_95 = 0)
% 14.26/3.88 |
% 14.26/3.88 | Applying alpha-rule on (247) yields:
% 14.26/3.88 | (248) apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_82_1_96
% 14.26/3.88 | (249) apply(all_0_3_3, all_27_0_16, all_30_3_24) = all_82_0_95
% 14.26/3.88 | (250) member(all_30_3_24, all_0_6_6) = all_82_4_99
% 14.26/3.88 | (251) member(all_27_0_16, all_0_6_6) = all_82_2_97
% 14.26/3.88 | (252) ~ (all_82_1_96 = 0) | ~ (all_82_2_97 = 0) | ~ (all_82_3_98 = 0) | ~ (all_82_4_99 = 0) | ~ (all_82_5_100 = 0) | all_82_0_95 = 0
% 14.26/3.88 | (253) member(all_10_2_12, all_0_7_7) = all_82_3_98
% 14.26/3.88 | (254) member(all_10_2_12, all_0_7_7) = all_82_5_100
% 14.26/3.88 |
% 14.26/3.88 | Instantiating (149) with all_84_0_101, all_84_1_102, all_84_2_103, all_84_3_104, all_84_4_105, all_84_5_106 yields:
% 14.26/3.88 | (255) apply(all_0_3_3, all_29_3_20, all_27_0_16) = all_84_0_101 & apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_84_1_102 & member(all_29_3_20, all_0_6_6) = all_84_2_103 & member(all_27_0_16, all_0_6_6) = all_84_4_105 & member(all_10_2_12, all_0_7_7) = all_84_5_106 & member(all_10_4_14, all_0_7_7) = all_84_3_104 & ( ~ (all_84_1_102 = 0) | ~ (all_84_2_103 = 0) | ~ (all_84_3_104 = 0) | ~ (all_84_4_105 = 0) | ~ (all_84_5_106 = 0) | all_84_0_101 = 0)
% 14.26/3.88 |
% 14.26/3.88 | Applying alpha-rule on (255) yields:
% 14.26/3.88 | (256) member(all_27_0_16, all_0_6_6) = all_84_4_105
% 14.26/3.88 | (257) apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_84_1_102
% 14.26/3.88 | (258) member(all_10_2_12, all_0_7_7) = all_84_5_106
% 14.26/3.88 | (259) member(all_29_3_20, all_0_6_6) = all_84_2_103
% 14.26/3.88 | (260) ~ (all_84_1_102 = 0) | ~ (all_84_2_103 = 0) | ~ (all_84_3_104 = 0) | ~ (all_84_4_105 = 0) | ~ (all_84_5_106 = 0) | all_84_0_101 = 0
% 14.26/3.88 | (261) member(all_10_4_14, all_0_7_7) = all_84_3_104
% 14.26/3.88 | (262) apply(all_0_3_3, all_29_3_20, all_27_0_16) = all_84_0_101
% 14.26/3.88 |
% 14.26/3.88 | Instantiating (158) with all_86_0_107, all_86_1_108, all_86_2_109, all_86_3_110, all_86_4_111, all_86_5_112 yields:
% 14.26/3.88 | (263) apply(all_0_3_3, all_25_0_15, all_25_0_15) = all_86_0_107 & apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_86_1_108 & member(all_25_0_15, all_0_6_6) = all_86_2_109 & member(all_25_0_15, all_0_6_6) = all_86_4_111 & member(all_10_4_14, all_0_7_7) = all_86_3_110 & member(all_10_4_14, all_0_7_7) = all_86_5_112 & ( ~ (all_86_1_108 = 0) | ~ (all_86_2_109 = 0) | ~ (all_86_3_110 = 0) | ~ (all_86_4_111 = 0) | ~ (all_86_5_112 = 0) | all_86_0_107 = 0)
% 14.26/3.88 |
% 14.26/3.88 | Applying alpha-rule on (263) yields:
% 14.26/3.88 | (264) member(all_10_4_14, all_0_7_7) = all_86_5_112
% 14.26/3.88 | (265) apply(all_0_3_3, all_25_0_15, all_25_0_15) = all_86_0_107
% 14.26/3.88 | (266) member(all_25_0_15, all_0_6_6) = all_86_2_109
% 14.26/3.88 | (267) apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_86_1_108
% 14.26/3.88 | (268) member(all_10_4_14, all_0_7_7) = all_86_3_110
% 14.26/3.88 | (269) ~ (all_86_1_108 = 0) | ~ (all_86_2_109 = 0) | ~ (all_86_3_110 = 0) | ~ (all_86_4_111 = 0) | ~ (all_86_5_112 = 0) | all_86_0_107 = 0
% 14.26/3.88 | (270) member(all_25_0_15, all_0_6_6) = all_86_4_111
% 14.26/3.88 |
% 14.26/3.88 | Instantiating (157) with all_88_0_113, all_88_1_114, all_88_2_115, all_88_3_116, all_88_4_117, all_88_5_118 yields:
% 14.26/3.88 | (271) apply(all_0_3_3, all_29_3_20, all_25_0_15) = all_88_0_113 & apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_88_1_114 & member(all_29_3_20, all_0_6_6) = all_88_2_115 & member(all_25_0_15, all_0_6_6) = all_88_4_117 & member(all_10_4_14, all_0_7_7) = all_88_3_116 & member(all_10_4_14, all_0_7_7) = all_88_5_118 & ( ~ (all_88_1_114 = 0) | ~ (all_88_2_115 = 0) | ~ (all_88_3_116 = 0) | ~ (all_88_4_117 = 0) | ~ (all_88_5_118 = 0) | all_88_0_113 = 0)
% 14.26/3.88 |
% 14.26/3.88 | Applying alpha-rule on (271) yields:
% 14.26/3.88 | (272) ~ (all_88_1_114 = 0) | ~ (all_88_2_115 = 0) | ~ (all_88_3_116 = 0) | ~ (all_88_4_117 = 0) | ~ (all_88_5_118 = 0) | all_88_0_113 = 0
% 14.26/3.88 | (273) apply(all_0_3_3, all_29_3_20, all_25_0_15) = all_88_0_113
% 14.26/3.88 | (274) member(all_25_0_15, all_0_6_6) = all_88_4_117
% 14.26/3.88 | (275) apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_88_1_114
% 14.26/3.88 | (276) member(all_29_3_20, all_0_6_6) = all_88_2_115
% 14.26/3.88 | (277) member(all_10_4_14, all_0_7_7) = all_88_5_118
% 14.26/3.88 | (278) member(all_10_4_14, all_0_7_7) = all_88_3_116
% 14.26/3.88 |
% 14.26/3.88 | Instantiating (155) with all_90_0_119, all_90_1_120, all_90_2_121, all_90_3_122, all_90_4_123, all_90_5_124 yields:
% 14.26/3.88 | (279) apply(all_0_3_3, all_27_0_16, all_25_0_15) = all_90_0_119 & apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_90_1_120 & member(all_27_0_16, all_0_6_6) = all_90_2_121 & member(all_25_0_15, all_0_6_6) = all_90_4_123 & member(all_10_2_12, all_0_7_7) = all_90_3_122 & member(all_10_4_14, all_0_7_7) = all_90_5_124 & ( ~ (all_90_1_120 = 0) | ~ (all_90_2_121 = 0) | ~ (all_90_3_122 = 0) | ~ (all_90_4_123 = 0) | ~ (all_90_5_124 = 0) | all_90_0_119 = 0)
% 14.26/3.88 |
% 14.26/3.88 | Applying alpha-rule on (279) yields:
% 14.26/3.89 | (280) apply(all_0_3_3, all_27_0_16, all_25_0_15) = all_90_0_119
% 14.26/3.89 | (281) ~ (all_90_1_120 = 0) | ~ (all_90_2_121 = 0) | ~ (all_90_3_122 = 0) | ~ (all_90_4_123 = 0) | ~ (all_90_5_124 = 0) | all_90_0_119 = 0
% 14.26/3.89 | (282) member(all_10_2_12, all_0_7_7) = all_90_3_122
% 14.26/3.89 | (283) member(all_27_0_16, all_0_6_6) = all_90_2_121
% 14.26/3.89 | (284) member(all_25_0_15, all_0_6_6) = all_90_4_123
% 14.26/3.89 | (285) member(all_10_4_14, all_0_7_7) = all_90_5_124
% 14.26/3.89 | (286) apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_90_1_120
% 14.26/3.89 |
% 14.26/3.89 | Instantiating (154) with all_92_0_125, all_92_1_126, all_92_2_127, all_92_3_128, all_92_4_129, all_92_5_130 yields:
% 14.26/3.89 | (287) apply(all_0_3_3, all_25_0_15, all_27_0_16) = all_92_0_125 & apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_92_1_126 & member(all_27_0_16, all_0_6_6) = all_92_4_129 & member(all_25_0_15, all_0_6_6) = all_92_2_127 & member(all_10_2_12, all_0_7_7) = all_92_5_130 & member(all_10_4_14, all_0_7_7) = all_92_3_128 & ( ~ (all_92_1_126 = 0) | ~ (all_92_2_127 = 0) | ~ (all_92_3_128 = 0) | ~ (all_92_4_129 = 0) | ~ (all_92_5_130 = 0) | all_92_0_125 = 0)
% 14.26/3.89 |
% 14.26/3.89 | Applying alpha-rule on (287) yields:
% 14.26/3.89 | (288) member(all_10_2_12, all_0_7_7) = all_92_5_130
% 14.26/3.89 | (289) member(all_10_4_14, all_0_7_7) = all_92_3_128
% 14.26/3.89 | (290) apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_92_1_126
% 14.26/3.89 | (291) member(all_27_0_16, all_0_6_6) = all_92_4_129
% 14.26/3.89 | (292) ~ (all_92_1_126 = 0) | ~ (all_92_2_127 = 0) | ~ (all_92_3_128 = 0) | ~ (all_92_4_129 = 0) | ~ (all_92_5_130 = 0) | all_92_0_125 = 0
% 14.26/3.89 | (293) apply(all_0_3_3, all_25_0_15, all_27_0_16) = all_92_0_125
% 14.26/3.89 | (294) member(all_25_0_15, all_0_6_6) = all_92_2_127
% 14.26/3.89 |
% 14.26/3.89 | Instantiating (153) with all_94_0_131, all_94_1_132, all_94_2_133, all_94_3_134, all_94_4_135, all_94_5_136 yields:
% 14.26/3.89 | (295) apply(all_0_3_3, all_30_3_24, all_25_0_15) = all_94_0_131 & apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_94_1_132 & member(all_30_3_24, all_0_6_6) = all_94_2_133 & member(all_25_0_15, all_0_6_6) = all_94_4_135 & member(all_10_2_12, all_0_7_7) = all_94_3_134 & member(all_10_4_14, all_0_7_7) = all_94_5_136 & ( ~ (all_94_1_132 = 0) | ~ (all_94_2_133 = 0) | ~ (all_94_3_134 = 0) | ~ (all_94_4_135 = 0) | ~ (all_94_5_136 = 0) | all_94_0_131 = 0)
% 14.26/3.89 |
% 14.26/3.89 | Applying alpha-rule on (295) yields:
% 14.26/3.89 | (296) apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_94_1_132
% 14.26/3.89 | (297) member(all_10_4_14, all_0_7_7) = all_94_5_136
% 14.26/3.89 | (298) apply(all_0_3_3, all_30_3_24, all_25_0_15) = all_94_0_131
% 14.26/3.89 | (299) member(all_30_3_24, all_0_6_6) = all_94_2_133
% 14.26/3.89 | (300) ~ (all_94_1_132 = 0) | ~ (all_94_2_133 = 0) | ~ (all_94_3_134 = 0) | ~ (all_94_4_135 = 0) | ~ (all_94_5_136 = 0) | all_94_0_131 = 0
% 14.26/3.89 | (301) member(all_10_2_12, all_0_7_7) = all_94_3_134
% 14.26/3.89 | (302) member(all_25_0_15, all_0_6_6) = all_94_4_135
% 14.26/3.89 |
% 14.26/3.89 | Instantiating (152) with all_96_0_137, all_96_1_138, all_96_2_139, all_96_3_140, all_96_4_141, all_96_5_142 yields:
% 14.26/3.89 | (303) apply(all_0_3_3, all_25_0_15, all_30_3_24) = all_96_0_137 & apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_96_1_138 & member(all_30_3_24, all_0_6_6) = all_96_4_141 & member(all_25_0_15, all_0_6_6) = all_96_2_139 & member(all_10_2_12, all_0_7_7) = all_96_5_142 & member(all_10_4_14, all_0_7_7) = all_96_3_140 & ( ~ (all_96_1_138 = 0) | ~ (all_96_2_139 = 0) | ~ (all_96_3_140 = 0) | ~ (all_96_4_141 = 0) | ~ (all_96_5_142 = 0) | all_96_0_137 = 0)
% 14.26/3.89 |
% 14.26/3.89 | Applying alpha-rule on (303) yields:
% 14.26/3.89 | (304) member(all_30_3_24, all_0_6_6) = all_96_4_141
% 14.26/3.89 | (305) member(all_25_0_15, all_0_6_6) = all_96_2_139
% 14.26/3.89 | (306) ~ (all_96_1_138 = 0) | ~ (all_96_2_139 = 0) | ~ (all_96_3_140 = 0) | ~ (all_96_4_141 = 0) | ~ (all_96_5_142 = 0) | all_96_0_137 = 0
% 14.26/3.89 | (307) apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_96_1_138
% 14.26/3.89 | (308) apply(all_0_3_3, all_25_0_15, all_30_3_24) = all_96_0_137
% 14.26/3.89 | (309) member(all_10_2_12, all_0_7_7) = all_96_5_142
% 14.26/3.89 | (310) member(all_10_4_14, all_0_7_7) = all_96_3_140
% 14.26/3.89 |
% 14.26/3.89 | Instantiating (156) with all_98_0_143, all_98_1_144, all_98_2_145, all_98_3_146, all_98_4_147, all_98_5_148 yields:
% 14.26/3.89 | (311) apply(all_0_3_3, all_25_0_15, all_29_3_20) = all_98_0_143 & apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_98_1_144 & member(all_29_3_20, all_0_6_6) = all_98_4_147 & member(all_25_0_15, all_0_6_6) = all_98_2_145 & member(all_10_4_14, all_0_7_7) = all_98_3_146 & member(all_10_4_14, all_0_7_7) = all_98_5_148 & ( ~ (all_98_1_144 = 0) | ~ (all_98_2_145 = 0) | ~ (all_98_3_146 = 0) | ~ (all_98_4_147 = 0) | ~ (all_98_5_148 = 0) | all_98_0_143 = 0)
% 14.26/3.89 |
% 14.26/3.89 | Applying alpha-rule on (311) yields:
% 14.26/3.89 | (312) ~ (all_98_1_144 = 0) | ~ (all_98_2_145 = 0) | ~ (all_98_3_146 = 0) | ~ (all_98_4_147 = 0) | ~ (all_98_5_148 = 0) | all_98_0_143 = 0
% 14.26/3.89 | (313) apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_98_1_144
% 14.26/3.89 | (314) member(all_10_4_14, all_0_7_7) = all_98_5_148
% 14.26/3.89 | (315) member(all_29_3_20, all_0_6_6) = all_98_4_147
% 14.26/3.89 | (316) member(all_25_0_15, all_0_6_6) = all_98_2_145
% 14.26/3.89 | (317) apply(all_0_3_3, all_25_0_15, all_29_3_20) = all_98_0_143
% 14.26/3.89 | (318) member(all_10_4_14, all_0_7_7) = all_98_3_146
% 14.26/3.89 |
% 14.26/3.89 | Instantiating formula (8) with all_0_2_2, all_10_1_11, all_10_3_13, all_80_0_89, all_10_0_10 and discharging atoms apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_80_0_89, apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_10_0_10, yields:
% 14.26/3.89 | (319) all_80_0_89 = all_10_0_10
% 14.26/3.89 |
% 14.26/3.89 | Instantiating formula (8) with all_0_3_3, all_30_3_24, all_29_3_20, all_58_0_33, all_80_1_90 and discharging atoms apply(all_0_3_3, all_30_3_24, all_29_3_20) = all_80_1_90, apply(all_0_3_3, all_30_3_24, all_29_3_20) = all_58_0_33, yields:
% 14.26/3.89 | (320) all_80_1_90 = all_58_0_33
% 14.26/3.89 |
% 14.26/3.89 | Instantiating formula (8) with all_0_4_4, all_10_4_14, all_10_2_12, all_90_1_120, all_94_1_132 and discharging atoms apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_94_1_132, apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_90_1_120, yields:
% 14.26/3.90 | (321) all_94_1_132 = all_90_1_120
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (8) with all_0_4_4, all_10_4_14, all_10_2_12, all_72_1_66, 0 and discharging atoms apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_72_1_66, apply(all_0_4_4, all_10_4_14, all_10_2_12) = 0, yields:
% 14.26/3.90 | (322) all_72_1_66 = 0
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (8) with all_0_4_4, all_10_4_14, all_10_2_12, all_72_1_66, all_90_1_120 and discharging atoms apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_90_1_120, apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_72_1_66, yields:
% 14.26/3.90 | (323) all_90_1_120 = all_72_1_66
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (8) with all_0_4_4, all_10_4_14, all_10_2_12, all_58_1_34, all_94_1_132 and discharging atoms apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_94_1_132, apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_58_1_34, yields:
% 14.26/3.90 | (324) all_94_1_132 = all_58_1_34
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_94_2_133, all_96_4_141 and discharging atoms member(all_30_3_24, all_0_6_6) = all_96_4_141, member(all_30_3_24, all_0_6_6) = all_94_2_133, yields:
% 14.26/3.90 | (325) all_96_4_141 = all_94_2_133
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_82_4_99, all_94_2_133 and discharging atoms member(all_30_3_24, all_0_6_6) = all_94_2_133, member(all_30_3_24, all_0_6_6) = all_82_4_99, yields:
% 14.26/3.90 | (326) all_94_2_133 = all_82_4_99
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_80_5_94, all_82_4_99 and discharging atoms member(all_30_3_24, all_0_6_6) = all_82_4_99, member(all_30_3_24, all_0_6_6) = all_80_5_94, yields:
% 14.26/3.90 | (327) all_82_4_99 = all_80_5_94
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_78_2_85, all_80_5_94 and discharging atoms member(all_30_3_24, all_0_6_6) = all_80_5_94, member(all_30_3_24, all_0_6_6) = all_78_2_85, yields:
% 14.26/3.90 | (328) all_80_5_94 = all_78_2_85
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_76_2_79, all_78_2_85 and discharging atoms member(all_30_3_24, all_0_6_6) = all_78_2_85, member(all_30_3_24, all_0_6_6) = all_76_2_79, yields:
% 14.26/3.90 | (329) all_78_2_85 = all_76_2_79
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_76_4_81, all_96_4_141 and discharging atoms member(all_30_3_24, all_0_6_6) = all_96_4_141, member(all_30_3_24, all_0_6_6) = all_76_4_81, yields:
% 14.26/3.90 | (330) all_96_4_141 = all_76_4_81
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_66_4_61, all_76_2_79 and discharging atoms member(all_30_3_24, all_0_6_6) = all_76_2_79, member(all_30_3_24, all_0_6_6) = all_66_4_61, yields:
% 14.26/3.90 | (331) all_76_2_79 = all_66_4_61
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_64_3_54, all_66_4_61 and discharging atoms member(all_30_3_24, all_0_6_6) = all_66_4_61, member(all_30_3_24, all_0_6_6) = all_64_3_54, yields:
% 14.26/3.90 | (332) all_66_4_61 = all_64_3_54
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_64_5_56, all_64_3_54 and discharging atoms member(all_30_3_24, all_0_6_6) = all_64_3_54, member(all_30_3_24, all_0_6_6) = all_64_5_56, yields:
% 14.26/3.90 | (333) all_64_3_54 = all_64_5_56
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_62_3_48, 0 and discharging atoms member(all_30_3_24, all_0_6_6) = all_62_3_48, member(all_30_3_24, all_0_6_6) = 0, yields:
% 14.26/3.90 | (334) all_62_3_48 = 0
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_62_3_48, all_64_5_56 and discharging atoms member(all_30_3_24, all_0_6_6) = all_64_5_56, member(all_30_3_24, all_0_6_6) = all_62_3_48, yields:
% 14.26/3.90 | (335) all_64_5_56 = all_62_3_48
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_58_2_35, all_76_2_79 and discharging atoms member(all_30_3_24, all_0_6_6) = all_76_2_79, member(all_30_3_24, all_0_6_6) = all_58_2_35, yields:
% 14.26/3.90 | (336) all_76_2_79 = all_58_2_35
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_29_3_20, all_0_6_6, all_98_4_147, 0 and discharging atoms member(all_29_3_20, all_0_6_6) = all_98_4_147, member(all_29_3_20, all_0_6_6) = 0, yields:
% 14.26/3.90 | (337) all_98_4_147 = 0
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_29_3_20, all_0_6_6, all_84_2_103, all_98_4_147 and discharging atoms member(all_29_3_20, all_0_6_6) = all_98_4_147, member(all_29_3_20, all_0_6_6) = all_84_2_103, yields:
% 14.26/3.90 | (338) all_98_4_147 = all_84_2_103
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_29_3_20, all_0_6_6, all_80_3_92, all_98_4_147 and discharging atoms member(all_29_3_20, all_0_6_6) = all_98_4_147, member(all_29_3_20, all_0_6_6) = all_80_3_92, yields:
% 14.26/3.90 | (339) all_98_4_147 = all_80_3_92
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_29_3_20, all_0_6_6, all_72_4_69, all_80_3_92 and discharging atoms member(all_29_3_20, all_0_6_6) = all_80_3_92, member(all_29_3_20, all_0_6_6) = all_72_4_69, yields:
% 14.26/3.90 | (340) all_80_3_92 = all_72_4_69
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_29_3_20, all_0_6_6, all_66_2_59, all_72_4_69 and discharging atoms member(all_29_3_20, all_0_6_6) = all_72_4_69, member(all_29_3_20, all_0_6_6) = all_66_2_59, yields:
% 14.26/3.90 | (341) all_72_4_69 = all_66_2_59
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_29_3_20, all_0_6_6, all_62_5_50, all_66_2_59 and discharging atoms member(all_29_3_20, all_0_6_6) = all_66_2_59, member(all_29_3_20, all_0_6_6) = all_62_5_50, yields:
% 14.26/3.90 | (342) all_66_2_59 = all_62_5_50
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_29_3_20, all_0_6_6, all_60_3_42, all_62_5_50 and discharging atoms member(all_29_3_20, all_0_6_6) = all_62_5_50, member(all_29_3_20, all_0_6_6) = all_60_3_42, yields:
% 14.26/3.90 | (343) all_62_5_50 = all_60_3_42
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_29_3_20, all_0_6_6, all_58_4_37, all_60_3_42 and discharging atoms member(all_29_3_20, all_0_6_6) = all_60_3_42, member(all_29_3_20, all_0_6_6) = all_58_4_37, yields:
% 14.26/3.90 | (344) all_60_3_42 = all_58_4_37
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_1_11, all_0_5_5, all_64_2_53, all_80_4_93 and discharging atoms member(all_10_1_11, all_0_5_5) = all_80_4_93, member(all_10_1_11, all_0_5_5) = all_64_2_53, yields:
% 14.26/3.90 | (345) all_80_4_93 = all_64_2_53
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_1_11, all_0_5_5, all_64_4_55, 0 and discharging atoms member(all_10_1_11, all_0_5_5) = all_64_4_55, member(all_10_1_11, all_0_5_5) = 0, yields:
% 14.26/3.90 | (346) all_64_4_55 = 0
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_1_11, all_0_5_5, all_64_4_55, all_64_2_53 and discharging atoms member(all_10_1_11, all_0_5_5) = all_64_2_53, member(all_10_1_11, all_0_5_5) = all_64_4_55, yields:
% 14.26/3.90 | (347) all_64_2_53 = all_64_4_55
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_1_11, all_0_5_5, all_62_2_47, all_80_4_93 and discharging atoms member(all_10_1_11, all_0_5_5) = all_80_4_93, member(all_10_1_11, all_0_5_5) = all_62_2_47, yields:
% 14.26/3.90 | (348) all_80_4_93 = all_62_2_47
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_92_5_130, all_94_3_134 and discharging atoms member(all_10_2_12, all_0_7_7) = all_94_3_134, member(all_10_2_12, all_0_7_7) = all_92_5_130, yields:
% 14.26/3.90 | (349) all_94_3_134 = all_92_5_130
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_90_3_122, all_96_5_142 and discharging atoms member(all_10_2_12, all_0_7_7) = all_96_5_142, member(all_10_2_12, all_0_7_7) = all_90_3_122, yields:
% 14.26/3.90 | (350) all_96_5_142 = all_90_3_122
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_90_3_122, all_92_5_130 and discharging atoms member(all_10_2_12, all_0_7_7) = all_92_5_130, member(all_10_2_12, all_0_7_7) = all_90_3_122, yields:
% 14.26/3.90 | (351) all_92_5_130 = all_90_3_122
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_84_5_106, all_94_3_134 and discharging atoms member(all_10_2_12, all_0_7_7) = all_94_3_134, member(all_10_2_12, all_0_7_7) = all_84_5_106, yields:
% 14.26/3.90 | (352) all_94_3_134 = all_84_5_106
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_82_3_98, all_96_5_142 and discharging atoms member(all_10_2_12, all_0_7_7) = all_96_5_142, member(all_10_2_12, all_0_7_7) = all_82_3_98, yields:
% 14.26/3.90 | (353) all_96_5_142 = all_82_3_98
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_82_5_100, all_90_3_122 and discharging atoms member(all_10_2_12, all_0_7_7) = all_90_3_122, member(all_10_2_12, all_0_7_7) = all_82_5_100, yields:
% 14.26/3.90 | (354) all_90_3_122 = all_82_5_100
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_78_5_88, all_90_3_122 and discharging atoms member(all_10_2_12, all_0_7_7) = all_90_3_122, member(all_10_2_12, all_0_7_7) = all_78_5_88, yields:
% 14.26/3.90 | (355) all_90_3_122 = all_78_5_88
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_78_5_88, all_78_3_86 and discharging atoms member(all_10_2_12, all_0_7_7) = all_78_3_86, member(all_10_2_12, all_0_7_7) = all_78_5_88, yields:
% 14.26/3.90 | (356) all_78_3_86 = all_78_5_88
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_76_3_80, all_78_5_88 and discharging atoms member(all_10_2_12, all_0_7_7) = all_78_5_88, member(all_10_2_12, all_0_7_7) = all_76_3_80, yields:
% 14.26/3.90 | (357) all_78_5_88 = all_76_3_80
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_76_5_82, all_96_5_142 and discharging atoms member(all_10_2_12, all_0_7_7) = all_96_5_142, member(all_10_2_12, all_0_7_7) = all_76_5_82, yields:
% 14.26/3.90 | (358) all_96_5_142 = all_76_5_82
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_74_3_74, 0 and discharging atoms member(all_10_2_12, all_0_7_7) = all_74_3_74, member(all_10_2_12, all_0_7_7) = 0, yields:
% 14.26/3.90 | (359) all_74_3_74 = 0
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_74_3_74, all_78_3_86 and discharging atoms member(all_10_2_12, all_0_7_7) = all_78_3_86, member(all_10_2_12, all_0_7_7) = all_74_3_74, yields:
% 14.26/3.90 | (360) all_78_3_86 = all_74_3_74
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_74_5_76, all_78_3_86 and discharging atoms member(all_10_2_12, all_0_7_7) = all_78_3_86, member(all_10_2_12, all_0_7_7) = all_74_5_76, yields:
% 14.26/3.90 | (361) all_78_3_86 = all_74_5_76
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_72_3_68, all_78_3_86 and discharging atoms member(all_10_2_12, all_0_7_7) = all_78_3_86, member(all_10_2_12, all_0_7_7) = all_72_3_68, yields:
% 14.26/3.90 | (362) all_78_3_86 = all_72_3_68
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_66_5_62, all_78_5_88 and discharging atoms member(all_10_2_12, all_0_7_7) = all_78_5_88, member(all_10_2_12, all_0_7_7) = all_66_5_62, yields:
% 14.26/3.90 | (363) all_78_5_88 = all_66_5_62
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_58_3_36, all_78_3_86 and discharging atoms member(all_10_2_12, all_0_7_7) = all_78_3_86, member(all_10_2_12, all_0_7_7) = all_58_3_36, yields:
% 14.26/3.90 | (364) all_78_3_86 = all_58_3_36
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_3_13, all_0_5_5, all_62_4_49, 0 and discharging atoms member(all_10_3_13, all_0_5_5) = all_62_4_49, member(all_10_3_13, all_0_5_5) = 0, yields:
% 14.26/3.90 | (365) all_62_4_49 = 0
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_3_13, all_0_5_5, all_62_4_49, all_80_2_91 and discharging atoms member(all_10_3_13, all_0_5_5) = all_80_2_91, member(all_10_3_13, all_0_5_5) = all_62_4_49, yields:
% 14.26/3.90 | (366) all_80_2_91 = all_62_4_49
% 14.26/3.90 |
% 14.26/3.90 | Instantiating formula (50) with all_10_3_13, all_0_5_5, all_60_2_41, all_80_2_91 and discharging atoms member(all_10_3_13, all_0_5_5) = all_80_2_91, member(all_10_3_13, all_0_5_5) = all_60_2_41, yields:
% 14.26/3.91 | (367) all_80_2_91 = all_60_2_41
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_3_13, all_0_5_5, all_60_4_43, all_80_2_91 and discharging atoms member(all_10_3_13, all_0_5_5) = all_80_2_91, member(all_10_3_13, all_0_5_5) = all_60_4_43, yields:
% 14.26/3.91 | (368) all_80_2_91 = all_60_4_43
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_96_3_140, all_98_5_148 and discharging atoms member(all_10_4_14, all_0_7_7) = all_98_5_148, member(all_10_4_14, all_0_7_7) = all_96_3_140, yields:
% 14.26/3.91 | (369) all_98_5_148 = all_96_3_140
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_94_5_136, all_96_3_140 and discharging atoms member(all_10_4_14, all_0_7_7) = all_96_3_140, member(all_10_4_14, all_0_7_7) = all_94_5_136, yields:
% 14.26/3.91 | (370) all_96_3_140 = all_94_5_136
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_90_5_124, all_94_5_136 and discharging atoms member(all_10_4_14, all_0_7_7) = all_94_5_136, member(all_10_4_14, all_0_7_7) = all_90_5_124, yields:
% 14.26/3.91 | (371) all_94_5_136 = all_90_5_124
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_88_3_116, all_90_5_124 and discharging atoms member(all_10_4_14, all_0_7_7) = all_90_5_124, member(all_10_4_14, all_0_7_7) = all_88_3_116, yields:
% 14.26/3.91 | (372) all_90_5_124 = all_88_3_116
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_88_5_118, 0 and discharging atoms member(all_10_4_14, all_0_7_7) = all_88_5_118, member(all_10_4_14, all_0_7_7) = 0, yields:
% 14.26/3.91 | (373) all_88_5_118 = 0
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_88_5_118, all_92_3_128 and discharging atoms member(all_10_4_14, all_0_7_7) = all_92_3_128, member(all_10_4_14, all_0_7_7) = all_88_5_118, yields:
% 14.26/3.91 | (374) all_92_3_128 = all_88_5_118
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_86_3_110, all_98_3_146 and discharging atoms member(all_10_4_14, all_0_7_7) = all_98_3_146, member(all_10_4_14, all_0_7_7) = all_86_3_110, yields:
% 14.26/3.91 | (375) all_98_3_146 = all_86_3_110
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_86_5_112, all_88_3_116 and discharging atoms member(all_10_4_14, all_0_7_7) = all_88_3_116, member(all_10_4_14, all_0_7_7) = all_86_5_112, yields:
% 14.26/3.91 | (376) all_88_3_116 = all_86_5_112
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_84_3_104, all_98_5_148 and discharging atoms member(all_10_4_14, all_0_7_7) = all_98_5_148, member(all_10_4_14, all_0_7_7) = all_84_3_104, yields:
% 14.26/3.91 | (377) all_98_5_148 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_72_5_70, all_92_3_128 and discharging atoms member(all_10_4_14, all_0_7_7) = all_92_3_128, member(all_10_4_14, all_0_7_7) = all_72_5_70, yields:
% 14.26/3.91 | (378) all_92_3_128 = all_72_5_70
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_66_3_60, all_88_5_118 and discharging atoms member(all_10_4_14, all_0_7_7) = all_88_5_118, member(all_10_4_14, all_0_7_7) = all_66_3_60, yields:
% 14.26/3.91 | (379) all_88_5_118 = all_66_3_60
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_66_3_60, all_86_3_110 and discharging atoms member(all_10_4_14, all_0_7_7) = all_86_3_110, member(all_10_4_14, all_0_7_7) = all_66_3_60, yields:
% 14.26/3.91 | (380) all_86_3_110 = all_66_3_60
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_66_3_60, all_86_5_112 and discharging atoms member(all_10_4_14, all_0_7_7) = all_86_5_112, member(all_10_4_14, all_0_7_7) = all_66_3_60, yields:
% 14.26/3.91 | (381) all_86_5_112 = all_66_3_60
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_58_5_38, all_86_5_112 and discharging atoms member(all_10_4_14, all_0_7_7) = all_86_5_112, member(all_10_4_14, all_0_7_7) = all_58_5_38, yields:
% 14.26/3.91 | (382) all_86_5_112 = all_58_5_38
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_56_3_30, all_66_3_60 and discharging atoms member(all_10_4_14, all_0_7_7) = all_66_3_60, member(all_10_4_14, all_0_7_7) = all_56_3_30, yields:
% 14.26/3.91 | (383) all_66_3_60 = all_56_3_30
% 14.26/3.91 |
% 14.26/3.91 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_56_5_32, all_98_3_146 and discharging atoms member(all_10_4_14, all_0_7_7) = all_98_3_146, member(all_10_4_14, all_0_7_7) = all_56_5_32, yields:
% 14.26/3.91 | (384) all_98_3_146 = all_56_5_32
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (375,384) yields a new equation:
% 14.26/3.91 | (385) all_86_3_110 = all_56_5_32
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 385 yields:
% 14.26/3.91 | (386) all_86_3_110 = all_56_5_32
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (337,338) yields a new equation:
% 14.26/3.91 | (387) all_84_2_103 = 0
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (339,338) yields a new equation:
% 14.26/3.91 | (388) all_84_2_103 = all_80_3_92
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (369,377) yields a new equation:
% 14.26/3.91 | (389) all_96_3_140 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 389 yields:
% 14.26/3.91 | (390) all_96_3_140 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (370,390) yields a new equation:
% 14.26/3.91 | (391) all_94_5_136 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 391 yields:
% 14.26/3.91 | (392) all_94_5_136 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (325,330) yields a new equation:
% 14.26/3.91 | (393) all_94_2_133 = all_76_4_81
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 393 yields:
% 14.26/3.91 | (394) all_94_2_133 = all_76_4_81
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (350,353) yields a new equation:
% 14.26/3.91 | (395) all_90_3_122 = all_82_3_98
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 395 yields:
% 14.26/3.91 | (396) all_90_3_122 = all_82_3_98
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (358,353) yields a new equation:
% 14.26/3.91 | (397) all_82_3_98 = all_76_5_82
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (321,324) yields a new equation:
% 14.26/3.91 | (398) all_90_1_120 = all_58_1_34
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 398 yields:
% 14.26/3.91 | (399) all_90_1_120 = all_58_1_34
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (326,394) yields a new equation:
% 14.26/3.91 | (400) all_82_4_99 = all_76_4_81
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 400 yields:
% 14.26/3.91 | (401) all_82_4_99 = all_76_4_81
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (349,352) yields a new equation:
% 14.26/3.91 | (402) all_92_5_130 = all_84_5_106
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 402 yields:
% 14.26/3.91 | (403) all_92_5_130 = all_84_5_106
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (371,392) yields a new equation:
% 14.26/3.91 | (404) all_90_5_124 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 404 yields:
% 14.26/3.91 | (405) all_90_5_124 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (374,378) yields a new equation:
% 14.26/3.91 | (406) all_88_5_118 = all_72_5_70
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 406 yields:
% 14.26/3.91 | (407) all_88_5_118 = all_72_5_70
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (351,403) yields a new equation:
% 14.26/3.91 | (408) all_90_3_122 = all_84_5_106
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 408 yields:
% 14.26/3.91 | (409) all_90_3_122 = all_84_5_106
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (323,399) yields a new equation:
% 14.26/3.91 | (410) all_72_1_66 = all_58_1_34
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 410 yields:
% 14.26/3.91 | (411) all_72_1_66 = all_58_1_34
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (354,409) yields a new equation:
% 14.26/3.91 | (412) all_84_5_106 = all_82_5_100
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (355,409) yields a new equation:
% 14.26/3.91 | (413) all_84_5_106 = all_78_5_88
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (396,409) yields a new equation:
% 14.26/3.91 | (414) all_84_5_106 = all_82_3_98
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (372,405) yields a new equation:
% 14.26/3.91 | (415) all_88_3_116 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 415 yields:
% 14.26/3.91 | (416) all_88_3_116 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (376,416) yields a new equation:
% 14.26/3.91 | (417) all_86_5_112 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 417 yields:
% 14.26/3.91 | (418) all_86_5_112 = all_84_3_104
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (379,407) yields a new equation:
% 14.26/3.91 | (419) all_72_5_70 = all_66_3_60
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (373,407) yields a new equation:
% 14.26/3.91 | (420) all_72_5_70 = 0
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (380,386) yields a new equation:
% 14.26/3.91 | (421) all_66_3_60 = all_56_5_32
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 421 yields:
% 14.26/3.91 | (422) all_66_3_60 = all_56_5_32
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (381,418) yields a new equation:
% 14.26/3.91 | (423) all_84_3_104 = all_66_3_60
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (382,418) yields a new equation:
% 14.26/3.91 | (424) all_84_3_104 = all_58_5_38
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (388,387) yields a new equation:
% 14.26/3.91 | (425) all_80_3_92 = 0
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 425 yields:
% 14.26/3.91 | (426) all_80_3_92 = 0
% 14.26/3.91 |
% 14.26/3.91 | Combining equations (423,424) yields a new equation:
% 14.26/3.91 | (427) all_66_3_60 = all_58_5_38
% 14.26/3.91 |
% 14.26/3.91 | Simplifying 427 yields:
% 14.26/3.91 | (428) all_66_3_60 = all_58_5_38
% 14.26/3.91 |
% 14.26/3.92 | Combining equations (413,412) yields a new equation:
% 14.26/3.92 | (429) all_82_5_100 = all_78_5_88
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (414,412) yields a new equation:
% 14.26/3.92 | (430) all_82_3_98 = all_82_5_100
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 430 yields:
% 14.26/3.92 | (431) all_82_3_98 = all_82_5_100
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (431,397) yields a new equation:
% 14.26/3.92 | (432) all_82_5_100 = all_76_5_82
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 432 yields:
% 14.26/3.92 | (433) all_82_5_100 = all_76_5_82
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (327,401) yields a new equation:
% 14.26/3.92 | (434) all_80_5_94 = all_76_4_81
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 434 yields:
% 14.26/3.92 | (435) all_80_5_94 = all_76_4_81
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (429,433) yields a new equation:
% 14.26/3.92 | (436) all_78_5_88 = all_76_5_82
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 436 yields:
% 14.26/3.92 | (437) all_78_5_88 = all_76_5_82
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (366,367) yields a new equation:
% 14.26/3.92 | (438) all_62_4_49 = all_60_2_41
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 438 yields:
% 14.26/3.92 | (439) all_62_4_49 = all_60_2_41
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (368,367) yields a new equation:
% 14.26/3.92 | (440) all_60_2_41 = all_60_4_43
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (340,426) yields a new equation:
% 14.26/3.92 | (441) all_72_4_69 = 0
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 441 yields:
% 14.26/3.92 | (442) all_72_4_69 = 0
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (345,348) yields a new equation:
% 14.26/3.92 | (443) all_64_2_53 = all_62_2_47
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 443 yields:
% 14.26/3.92 | (444) all_64_2_53 = all_62_2_47
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (328,435) yields a new equation:
% 14.26/3.92 | (445) all_78_2_85 = all_76_4_81
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 445 yields:
% 14.26/3.92 | (446) all_78_2_85 = all_76_4_81
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (329,446) yields a new equation:
% 14.26/3.92 | (447) all_76_2_79 = all_76_4_81
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 447 yields:
% 14.26/3.92 | (448) all_76_2_79 = all_76_4_81
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (362,361) yields a new equation:
% 14.26/3.92 | (449) all_74_5_76 = all_72_3_68
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (360,361) yields a new equation:
% 14.26/3.92 | (450) all_74_3_74 = all_74_5_76
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 450 yields:
% 14.26/3.92 | (451) all_74_3_74 = all_74_5_76
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (356,361) yields a new equation:
% 14.26/3.92 | (452) all_78_5_88 = all_74_5_76
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 452 yields:
% 14.26/3.92 | (453) all_78_5_88 = all_74_5_76
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (364,361) yields a new equation:
% 14.26/3.92 | (454) all_74_5_76 = all_58_3_36
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (363,357) yields a new equation:
% 14.26/3.92 | (455) all_76_3_80 = all_66_5_62
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (453,357) yields a new equation:
% 14.26/3.92 | (456) all_76_3_80 = all_74_5_76
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (437,357) yields a new equation:
% 14.26/3.92 | (457) all_76_3_80 = all_76_5_82
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (331,448) yields a new equation:
% 14.26/3.92 | (458) all_76_4_81 = all_66_4_61
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (336,448) yields a new equation:
% 14.26/3.92 | (459) all_76_4_81 = all_58_2_35
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (456,457) yields a new equation:
% 14.26/3.92 | (460) all_76_5_82 = all_74_5_76
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (455,457) yields a new equation:
% 14.26/3.92 | (461) all_76_5_82 = all_66_5_62
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (458,459) yields a new equation:
% 14.26/3.92 | (462) all_66_4_61 = all_58_2_35
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 462 yields:
% 14.26/3.92 | (463) all_66_4_61 = all_58_2_35
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (460,461) yields a new equation:
% 14.26/3.92 | (464) all_74_5_76 = all_66_5_62
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 464 yields:
% 14.26/3.92 | (465) all_74_5_76 = all_66_5_62
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (451,359) yields a new equation:
% 14.26/3.92 | (466) all_74_5_76 = 0
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 466 yields:
% 14.26/3.92 | (467) all_74_5_76 = 0
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (467,449) yields a new equation:
% 14.26/3.92 | (468) all_72_3_68 = 0
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (465,449) yields a new equation:
% 14.26/3.92 | (469) all_72_3_68 = all_66_5_62
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (454,449) yields a new equation:
% 14.26/3.92 | (470) all_72_3_68 = all_58_3_36
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (322,411) yields a new equation:
% 14.26/3.92 | (471) all_58_1_34 = 0
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (470,469) yields a new equation:
% 14.26/3.92 | (472) all_66_5_62 = all_58_3_36
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (468,469) yields a new equation:
% 14.26/3.92 | (473) all_66_5_62 = 0
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (341,442) yields a new equation:
% 14.26/3.92 | (474) all_66_2_59 = 0
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 474 yields:
% 14.26/3.92 | (475) all_66_2_59 = 0
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (419,420) yields a new equation:
% 14.26/3.92 | (476) all_66_3_60 = 0
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 476 yields:
% 14.26/3.92 | (477) all_66_3_60 = 0
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (342,475) yields a new equation:
% 14.26/3.92 | (478) all_62_5_50 = 0
% 14.26/3.92 |
% 14.26/3.92 | Simplifying 478 yields:
% 14.26/3.92 | (479) all_62_5_50 = 0
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (477,428) yields a new equation:
% 14.26/3.92 | (480) all_58_5_38 = 0
% 14.26/3.92 |
% 14.26/3.92 | Combining equations (422,428) yields a new equation:
% 14.67/3.92 | (481) all_58_5_38 = all_56_5_32
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (383,428) yields a new equation:
% 14.67/3.92 | (482) all_58_5_38 = all_56_3_30
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (332,463) yields a new equation:
% 14.67/3.92 | (483) all_64_3_54 = all_58_2_35
% 14.67/3.92 |
% 14.67/3.92 | Simplifying 483 yields:
% 14.67/3.92 | (484) all_64_3_54 = all_58_2_35
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (472,473) yields a new equation:
% 14.67/3.92 | (485) all_58_3_36 = 0
% 14.67/3.92 |
% 14.67/3.92 | Simplifying 485 yields:
% 14.67/3.92 | (486) all_58_3_36 = 0
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (347,444) yields a new equation:
% 14.67/3.92 | (487) all_64_4_55 = all_62_2_47
% 14.67/3.92 |
% 14.67/3.92 | Simplifying 487 yields:
% 14.67/3.92 | (488) all_64_4_55 = all_62_2_47
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (333,484) yields a new equation:
% 14.67/3.92 | (489) all_64_5_56 = all_58_2_35
% 14.67/3.92 |
% 14.67/3.92 | Simplifying 489 yields:
% 14.67/3.92 | (490) all_64_5_56 = all_58_2_35
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (346,488) yields a new equation:
% 14.67/3.92 | (491) all_62_2_47 = 0
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (335,490) yields a new equation:
% 14.67/3.92 | (492) all_62_3_48 = all_58_2_35
% 14.67/3.92 |
% 14.67/3.92 | Simplifying 492 yields:
% 14.67/3.92 | (493) all_62_3_48 = all_58_2_35
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (334,493) yields a new equation:
% 14.67/3.92 | (494) all_58_2_35 = 0
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (439,365) yields a new equation:
% 14.67/3.92 | (495) all_60_2_41 = 0
% 14.67/3.92 |
% 14.67/3.92 | Simplifying 495 yields:
% 14.67/3.92 | (496) all_60_2_41 = 0
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (343,479) yields a new equation:
% 14.67/3.92 | (497) all_60_3_42 = 0
% 14.67/3.92 |
% 14.67/3.92 | Simplifying 497 yields:
% 14.67/3.92 | (498) all_60_3_42 = 0
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (496,440) yields a new equation:
% 14.67/3.92 | (499) all_60_4_43 = 0
% 14.67/3.92 |
% 14.67/3.92 | Combining equations (344,498) yields a new equation:
% 14.67/3.92 | (500) all_58_4_37 = 0
% 14.67/3.92 |
% 14.67/3.92 | Simplifying 500 yields:
% 14.67/3.92 | (501) all_58_4_37 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (481,482) yields a new equation:
% 14.67/3.93 | (502) all_56_3_30 = all_56_5_32
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (480,482) yields a new equation:
% 14.67/3.93 | (503) all_56_3_30 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (503,502) yields a new equation:
% 14.67/3.93 | (504) all_56_5_32 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (504,502) yields a new equation:
% 14.67/3.93 | (503) all_56_3_30 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (503,482) yields a new equation:
% 14.67/3.93 | (480) all_58_5_38 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (499,440) yields a new equation:
% 14.67/3.93 | (496) all_60_2_41 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (494,459) yields a new equation:
% 14.67/3.93 | (508) all_76_4_81 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (508,435) yields a new equation:
% 14.67/3.93 | (509) all_80_5_94 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (491,348) yields a new equation:
% 14.67/3.93 | (510) all_80_4_93 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (496,367) yields a new equation:
% 14.67/3.93 | (511) all_80_2_91 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (241), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (512) ~ (all_80_1_90 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (320) can reduce 512 to:
% 14.67/3.93 | (513) ~ (all_58_0_33 = 0)
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (170), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (514) ~ (all_58_1_34 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (471) can reduce 514 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (471) all_58_1_34 = 0
% 14.67/3.93 | (517) ~ (all_58_2_35 = 0) | ~ (all_58_3_36 = 0) | ~ (all_58_4_37 = 0) | ~ (all_58_5_38 = 0) | all_58_0_33 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (517), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (518) ~ (all_58_2_35 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (494) can reduce 518 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (494) all_58_2_35 = 0
% 14.67/3.93 | (521) ~ (all_58_3_36 = 0) | ~ (all_58_4_37 = 0) | ~ (all_58_5_38 = 0) | all_58_0_33 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (521), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (522) ~ (all_58_3_36 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (486) can reduce 522 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (486) all_58_3_36 = 0
% 14.67/3.93 | (525) ~ (all_58_4_37 = 0) | ~ (all_58_5_38 = 0) | all_58_0_33 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (525), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (526) ~ (all_58_4_37 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (501) can reduce 526 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (501) all_58_4_37 = 0
% 14.67/3.93 | (529) ~ (all_58_5_38 = 0) | all_58_0_33 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (529), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (530) ~ (all_58_5_38 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (480) can reduce 530 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (480) all_58_5_38 = 0
% 14.67/3.93 | (533) all_58_0_33 = 0
% 14.67/3.93 |
% 14.67/3.93 | Equations (533) can reduce 513 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (535) all_80_1_90 = 0
% 14.67/3.93 | (536) ~ (all_80_2_91 = 0) | ~ (all_80_3_92 = 0) | ~ (all_80_4_93 = 0) | ~ (all_80_5_94 = 0) | all_80_0_89 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (536), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (537) ~ (all_80_2_91 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (511) can reduce 537 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (511) all_80_2_91 = 0
% 14.67/3.93 | (540) ~ (all_80_3_92 = 0) | ~ (all_80_4_93 = 0) | ~ (all_80_5_94 = 0) | all_80_0_89 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (540), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (541) ~ (all_80_3_92 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (426) can reduce 541 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (426) all_80_3_92 = 0
% 14.67/3.93 | (544) ~ (all_80_4_93 = 0) | ~ (all_80_5_94 = 0) | all_80_0_89 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (544), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (545) ~ (all_80_4_93 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (510) can reduce 545 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (510) all_80_4_93 = 0
% 14.67/3.93 | (548) ~ (all_80_5_94 = 0) | all_80_0_89 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (548), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (549) ~ (all_80_5_94 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (509) can reduce 549 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (509) all_80_5_94 = 0
% 14.67/3.93 | (552) all_80_0_89 = 0
% 14.67/3.93 |
% 14.67/3.93 | Combining equations (552,319) yields a new equation:
% 14.67/3.93 | (553) all_10_0_10 = 0
% 14.67/3.93 |
% 14.67/3.93 | Equations (553) can reduce 112 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (555) member(all_10_3_13, all_0_5_5) = all_29_2_19 & member(all_10_4_14, all_0_7_7) = all_29_3_20 & ( ~ (all_29_2_19 = 0) | ~ (all_29_3_20 = 0))
% 14.67/3.93 |
% 14.67/3.93 | Applying alpha-rule on (555) yields:
% 14.67/3.93 | (556) member(all_10_3_13, all_0_5_5) = all_29_2_19
% 14.67/3.93 | (557) member(all_10_4_14, all_0_7_7) = all_29_3_20
% 14.67/3.93 | (558) ~ (all_29_2_19 = 0) | ~ (all_29_3_20 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Instantiating formula (50) with all_10_3_13, all_0_5_5, all_29_2_19, 0 and discharging atoms member(all_10_3_13, all_0_5_5) = all_29_2_19, member(all_10_3_13, all_0_5_5) = 0, yields:
% 14.67/3.93 | (133) all_29_2_19 = 0
% 14.67/3.93 |
% 14.67/3.93 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_29_3_20, 0 and discharging atoms member(all_10_4_14, all_0_7_7) = all_29_3_20, member(all_10_4_14, all_0_7_7) = 0, yields:
% 14.67/3.93 | (560) all_29_3_20 = 0
% 14.67/3.93 |
% 14.67/3.93 +-Applying beta-rule and splitting (558), into two cases.
% 14.67/3.93 |-Branch one:
% 14.67/3.93 | (561) ~ (all_29_2_19 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (133) can reduce 561 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.93 |-Branch two:
% 14.67/3.93 | (133) all_29_2_19 = 0
% 14.67/3.93 | (564) ~ (all_29_3_20 = 0)
% 14.67/3.93 |
% 14.67/3.93 | Equations (560) can reduce 564 to:
% 14.67/3.93 | (100) $false
% 14.67/3.93 |
% 14.67/3.93 |-The branch is then unsatisfiable
% 14.67/3.94 |-Branch two:
% 14.67/3.94 | (566) member(all_10_1_11, all_0_5_5) = all_30_2_23 & member(all_10_2_12, all_0_7_7) = all_30_3_24 & ( ~ (all_30_2_23 = 0) | ~ (all_30_3_24 = 0))
% 14.67/3.94 |
% 14.67/3.94 | Applying alpha-rule on (566) yields:
% 14.67/3.94 | (567) member(all_10_1_11, all_0_5_5) = all_30_2_23
% 14.67/3.94 | (568) member(all_10_2_12, all_0_7_7) = all_30_3_24
% 14.67/3.94 | (569) ~ (all_30_2_23 = 0) | ~ (all_30_3_24 = 0)
% 14.67/3.94 |
% 14.67/3.94 | Instantiating formula (50) with all_10_1_11, all_0_5_5, all_30_2_23, 0 and discharging atoms member(all_10_1_11, all_0_5_5) = all_30_2_23, member(all_10_1_11, all_0_5_5) = 0, yields:
% 14.67/3.94 | (129) all_30_2_23 = 0
% 14.67/3.94 |
% 14.67/3.94 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_30_3_24, 0 and discharging atoms member(all_10_2_12, all_0_7_7) = all_30_3_24, member(all_10_2_12, all_0_7_7) = 0, yields:
% 14.67/3.94 | (571) all_30_3_24 = 0
% 14.67/3.94 |
% 14.67/3.94 +-Applying beta-rule and splitting (569), into two cases.
% 14.67/3.94 |-Branch one:
% 14.67/3.94 | (572) ~ (all_30_2_23 = 0)
% 14.67/3.94 |
% 14.67/3.94 | Equations (129) can reduce 572 to:
% 14.67/3.94 | (100) $false
% 14.67/3.94 |
% 14.67/3.94 |-The branch is then unsatisfiable
% 14.67/3.94 |-Branch two:
% 14.67/3.94 | (129) all_30_2_23 = 0
% 14.67/3.94 | (575) ~ (all_30_3_24 = 0)
% 14.67/3.94 |
% 14.67/3.94 | Equations (571) can reduce 575 to:
% 14.67/3.94 | (100) $false
% 14.67/3.94 |
% 14.67/3.94 |-The branch is then unsatisfiable
% 14.67/3.94 % SZS output end Proof for theBenchmark
% 14.67/3.94
% 14.67/3.94 3334ms
%------------------------------------------------------------------------------