TSTP Solution File: SET747+4 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET747+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.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 6.16s 2.05s
% Output : Proof 15.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET747+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 19:23:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58 ____ _
% 0.18/0.58 ___ / __ \_____(_)___ ________ __________
% 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.58
% 0.18/0.58 A Theorem Prover for First-Order Logic
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.74/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.75/0.98 Prover 0: Preprocessing ...
% 2.87/1.33 Prover 0: Warning: ignoring some quantifiers
% 3.29/1.36 Prover 0: Constructing countermodel ...
% 4.17/1.62 Prover 0: gave up
% 4.17/1.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.57/1.67 Prover 1: Preprocessing ...
% 5.54/1.91 Prover 1: Constructing countermodel ...
% 6.16/2.05 Prover 1: proved (429ms)
% 6.16/2.05
% 6.16/2.05 No countermodel exists, formula is valid
% 6.16/2.05 % SZS status Theorem for theBenchmark
% 6.16/2.05
% 6.16/2.05 Generating proof ... found it (size 313)
% 14.85/4.06
% 14.85/4.06 % SZS output start Proof for theBenchmark
% 14.85/4.06 Assumed formulas after preprocessing and simplification:
% 14.85/4.06 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ( ~ (v9 = 0) & decreasing(v8, v2, v5, v4, v7) = v9 & decreasing(v1, v3, v6, v4, v7) = 0 & increasing(v0, v2, v5, v3, v6) = 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))
% 15.24/4.14 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields:
% 15.24/4.14 | (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_8_8, all_0_6_6, all_0_3_3, all_0_5_5, all_0_2_2) = 0 & increasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 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)
% 15.24/4.17 |
% 15.24/4.17 | Applying alpha-rule on (1) yields:
% 15.24/4.17 | (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))))
% 15.24/4.17 | (3) decreasing(all_0_8_8, all_0_6_6, all_0_3_3, all_0_5_5, all_0_2_2) = 0
% 15.24/4.17 | (4) ! [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))))
% 15.24/4.17 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0))
% 15.24/4.17 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 15.24/4.17 | (7) ! [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))))
% 15.24/4.18 | (8) ! [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))
% 15.24/4.18 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0))
% 15.24/4.18 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4))
% 15.24/4.18 | (11) ! [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))))
% 15.24/4.18 | (12) ! [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))
% 15.24/4.18 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0))
% 15.24/4.18 | (14) ! [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)))))
% 15.24/4.18 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0))
% 15.24/4.18 | (16) ! [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)))))
% 15.24/4.18 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0))
% 15.24/4.18 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0))
% 15.24/4.18 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0))
% 15.24/4.18 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0))
% 15.24/4.18 | (21) ! [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))
% 15.24/4.18 | (22) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0))
% 15.68/4.18 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0))
% 15.68/4.18 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0)
% 15.68/4.18 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0))
% 15.68/4.18 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0)
% 15.68/4.18 | (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))
% 15.68/4.18 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0))
% 15.68/4.18 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0))
% 15.68/4.18 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0))
% 15.68/4.18 | (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)))
% 15.68/4.18 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0))
% 15.68/4.18 | (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)))
% 15.68/4.18 | (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))
% 15.68/4.18 | (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))))
% 15.68/4.18 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0))
% 15.68/4.18 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 15.68/4.19 | (38) maps(all_0_8_8, all_0_6_6, all_0_5_5) = 0
% 15.68/4.19 | (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))))
% 15.68/4.19 | (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))
% 15.68/4.19 | (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)))
% 15.68/4.19 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0))
% 15.68/4.19 | (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)))))
% 15.68/4.19 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3))
% 15.68/4.19 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0))
% 15.68/4.19 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0))
% 15.68/4.19 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0))
% 15.68/4.19 | (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))
% 15.68/4.19 | (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)))
% 15.68/4.19 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0))
% 15.68/4.19 | (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))))
% 15.68/4.19 | (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)))))
% 15.68/4.19 | (53) increasing(all_0_9_9, all_0_7_7, all_0_4_4, all_0_6_6, all_0_3_3) = 0
% 15.68/4.19 | (54) ! [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)))
% 15.68/4.19 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0))
% 15.68/4.19 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3))
% 15.68/4.19 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0))
% 15.68/4.19 | (58) ! [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)))
% 15.68/4.19 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 15.68/4.19 | (60) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0))
% 15.68/4.19 | (61) ! [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)))))
% 15.68/4.19 | (62) ! [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)))))
% 15.68/4.19 | (63) ! [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)))))
% 15.68/4.19 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0))
% 15.68/4.19 | (65) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2))
% 15.68/4.19 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0))
% 15.68/4.19 | (67) ! [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)))
% 15.68/4.19 | (68) ! [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))
% 15.68/4.19 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0))
% 15.68/4.20 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0))
% 15.68/4.20 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0))
% 15.68/4.20 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 15.68/4.20 | (73) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : ? [v4] : (subset(v1, v0) = v4 & subset(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0))))
% 15.68/4.20 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0)
% 15.68/4.20 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0))
% 15.68/4.20 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0))
% 15.68/4.20 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 15.68/4.20 | (78) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0))
% 15.68/4.20 | (79) ! [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))
% 15.68/4.20 | (80) ! [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)))
% 15.68/4.20 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4))
% 15.68/4.20 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0))
% 15.68/4.20 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0))
% 15.68/4.20 | (84) ! [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))
% 15.68/4.20 | (85) ! [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))
% 15.68/4.20 | (86) maps(all_0_9_9, all_0_7_7, all_0_6_6) = 0
% 15.68/4.20 | (87) ! [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))
% 15.68/4.20 | (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
% 15.68/4.20 | (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
% 15.68/4.20 | (90) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0))
% 15.68/4.20 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0))
% 15.68/4.20 | (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)))))
% 15.68/4.20 | (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)))))
% 15.68/4.20 | (94) ! [v0] : ~ (member(v0, empty_set) = 0)
% 15.68/4.20 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0))
% 15.68/4.20 | (96) ~ (all_0_0_0 = 0)
% 15.68/4.20 | (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))
% 15.68/4.20 |
% 15.68/4.20 | 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:
% 15.68/4.20 | (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)
% 15.68/4.20 |
% 15.68/4.20 +-Applying beta-rule and splitting (98), into two cases.
% 15.68/4.20 |-Branch one:
% 15.68/4.20 | (99) all_0_0_0 = 0
% 15.68/4.20 |
% 15.79/4.20 | Equations (99) can reduce 96 to:
% 15.79/4.20 | (100) $false
% 15.79/4.20 |
% 15.79/4.20 |-The branch is then unsatisfiable
% 15.79/4.20 |-Branch two:
% 15.79/4.20 | (96) ~ (all_0_0_0 = 0)
% 15.79/4.20 | (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)
% 15.79/4.21 |
% 15.79/4.21 | Instantiating (102) with all_10_0_10, all_10_1_11, all_10_2_12, all_10_3_13, all_10_4_14 yields:
% 15.79/4.21 | (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
% 15.79/4.21 |
% 15.79/4.21 | Applying alpha-rule on (103) yields:
% 15.79/4.21 | (104) apply(all_0_4_4, all_10_4_14, all_10_2_12) = 0
% 15.79/4.21 | (105) apply(all_0_1_1, all_10_4_14, all_10_3_13) = 0
% 15.79/4.21 | (106) member(all_10_4_14, all_0_7_7) = 0
% 15.79/4.21 | (107) apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_10_0_10
% 15.79/4.21 | (108) apply(all_0_1_1, all_10_2_12, all_10_1_11) = 0
% 15.79/4.21 | (109) member(all_10_3_13, all_0_5_5) = 0
% 15.79/4.21 | (110) member(all_10_1_11, all_0_5_5) = 0
% 15.79/4.21 | (111) member(all_10_2_12, all_0_7_7) = 0
% 15.79/4.21 | (112) ~ (all_10_0_10 = 0)
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (62) 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:
% 15.79/4.21 | (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))))
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (62) 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:
% 15.79/4.21 | (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))))
% 15.79/4.21 |
% 15.79/4.21 | 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:
% 15.79/4.21 | (115) ? [v0] : (apply(all_0_9_9, all_10_2_12, v0) = 0 & member(v0, all_0_6_6) = 0)
% 15.79/4.21 |
% 15.79/4.21 | 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:
% 15.79/4.21 | (116) ? [v0] : (apply(all_0_9_9, all_10_4_14, v0) = 0 & member(v0, all_0_6_6) = 0)
% 15.79/4.21 |
% 15.79/4.21 | Instantiating (116) with all_25_0_15 yields:
% 15.79/4.21 | (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
% 15.79/4.21 |
% 15.79/4.21 | Applying alpha-rule on (117) yields:
% 15.79/4.21 | (118) apply(all_0_9_9, all_10_4_14, all_25_0_15) = 0
% 15.79/4.21 | (119) member(all_25_0_15, all_0_6_6) = 0
% 15.79/4.21 |
% 15.79/4.21 | Instantiating (115) with all_27_0_16 yields:
% 15.79/4.21 | (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
% 15.79/4.21 |
% 15.79/4.21 | Applying alpha-rule on (120) yields:
% 15.79/4.21 | (121) apply(all_0_9_9, all_10_2_12, all_27_0_16) = 0
% 15.79/4.21 | (122) member(all_27_0_16, all_0_6_6) = 0
% 15.79/4.21 |
% 15.79/4.21 | Instantiating (114) with all_29_0_17, all_29_1_18, all_29_2_19, all_29_3_20 yields:
% 15.79/4.21 | (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)))
% 15.79/4.21 |
% 15.79/4.21 | Instantiating (113) with all_30_0_21, all_30_1_22, all_30_2_23, all_30_3_24 yields:
% 15.79/4.21 | (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)))
% 15.79/4.21 |
% 15.79/4.21 +-Applying beta-rule and splitting (124), into two cases.
% 15.79/4.21 |-Branch one:
% 15.79/4.21 | (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
% 15.79/4.21 |
% 15.79/4.21 | Applying alpha-rule on (125) yields:
% 15.79/4.21 | (126) all_30_1_22 = 0
% 15.79/4.21 | (127) apply(all_0_9_9, all_10_2_12, all_30_3_24) = 0
% 15.79/4.21 | (128) member(all_30_3_24, all_0_6_6) = 0
% 15.79/4.21 | (129) all_30_2_23 = 0
% 15.79/4.21 | (130) apply(all_0_8_8, all_30_3_24, all_10_1_11) = 0
% 15.79/4.21 | (131) all_30_0_21 = 0
% 15.79/4.21 |
% 15.79/4.21 +-Applying beta-rule and splitting (123), into two cases.
% 15.79/4.21 |-Branch one:
% 15.79/4.21 | (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
% 15.79/4.21 |
% 15.79/4.21 | Applying alpha-rule on (132) yields:
% 15.79/4.21 | (133) all_29_2_19 = 0
% 15.79/4.21 | (134) apply(all_0_9_9, all_10_4_14, all_29_3_20) = 0
% 15.79/4.21 | (135) all_29_1_18 = 0
% 15.79/4.21 | (136) apply(all_0_8_8, all_29_3_20, all_10_3_13) = 0
% 15.79/4.21 | (137) all_29_0_17 = 0
% 15.79/4.21 | (138) member(all_29_3_20, all_0_6_6) = 0
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (49) 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 decreasing(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:
% 15.79/4.21 | (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))
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (49) 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 decreasing(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:
% 15.79/4.21 | (140) ? [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_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))
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (49) 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 decreasing(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:
% 15.79/4.21 | (141) ? [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_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))
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (49) 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 decreasing(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:
% 15.79/4.21 | (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))
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.21 | (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))
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.21 | (144) ? [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) = 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))
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.21 | (145) ? [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) = 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))
% 15.79/4.21 |
% 15.79/4.21 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.21 | (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))
% 15.79/4.22 |
% 15.79/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.22 | (147) ? [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_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))
% 15.79/4.22 |
% 15.79/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.22 | (148) ? [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_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))
% 15.79/4.22 |
% 15.79/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.22 | (149) ? [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_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))
% 15.79/4.22 |
% 15.79/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.22 | (150) ? [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_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))
% 15.79/4.22 |
% 15.79/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.22 | (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))
% 15.79/4.22 |
% 15.79/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.22 | (152) ? [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_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))
% 15.79/4.22 |
% 15.79/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.22 | (153) ? [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_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))
% 15.79/4.22 |
% 15.79/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.79/4.22 | (154) ? [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_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))
% 15.79/4.22 |
% 15.79/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.86/4.22 | (155) ? [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_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))
% 15.86/4.22 |
% 15.86/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.86/4.22 | (156) ? [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) = 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))
% 15.86/4.22 |
% 15.86/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.86/4.22 | (157) ? [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) = 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))
% 15.86/4.22 |
% 15.86/4.22 | Instantiating formula (80) 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 increasing(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:
% 15.86/4.22 | (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))
% 15.86/4.22 |
% 15.86/4.22 | 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:
% 15.86/4.22 | (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)
% 15.86/4.22 |
% 15.86/4.22 | Applying alpha-rule on (159) yields:
% 15.86/4.22 | (160) member(all_10_4_14, all_0_7_7) = all_56_5_32
% 15.86/4.22 | (161) apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_56_1_28
% 15.86/4.22 | (162) member(all_10_4_14, all_0_7_7) = all_56_3_30
% 15.86/4.22 | (163) apply(all_0_3_3, all_29_3_20, all_29_3_20) = all_56_0_27
% 15.86/4.22 | (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
% 15.86/4.22 | (165) member(all_29_3_20, all_0_6_6) = all_56_2_29
% 15.86/4.22 | (166) member(all_29_3_20, all_0_6_6) = all_56_4_31
% 15.86/4.22 |
% 15.86/4.22 | 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:
% 15.86/4.22 | (167) apply(all_0_3_3, all_29_3_20, all_30_3_24) = 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)
% 15.86/4.22 |
% 15.86/4.22 | Applying alpha-rule on (167) yields:
% 15.86/4.22 | (168) member(all_29_3_20, all_0_6_6) = all_58_4_37
% 15.86/4.22 | (169) apply(all_0_3_3, all_29_3_20, all_30_3_24) = all_58_0_33
% 15.86/4.22 | (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
% 15.86/4.22 | (171) member(all_10_4_14, all_0_7_7) = all_58_5_38
% 15.86/4.22 | (172) member(all_30_3_24, all_0_6_6) = all_58_2_35
% 15.86/4.22 | (173) member(all_10_2_12, all_0_7_7) = all_58_3_36
% 15.86/4.22 | (174) apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_58_1_34
% 15.86/4.22 |
% 15.86/4.22 | 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:
% 15.86/4.22 | (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)
% 15.86/4.23 |
% 15.86/4.23 | Applying alpha-rule on (175) yields:
% 15.86/4.23 | (176) member(all_10_3_13, all_0_5_5) = all_60_2_41
% 15.86/4.23 | (177) apply(all_0_3_3, all_29_3_20, all_29_3_20) = all_60_1_40
% 15.86/4.23 | (178) member(all_29_3_20, all_0_6_6) = all_60_3_42
% 15.86/4.23 | (179) apply(all_0_2_2, all_10_3_13, all_10_3_13) = all_60_0_39
% 15.86/4.23 | (180) member(all_29_3_20, all_0_6_6) = all_60_5_44
% 15.86/4.23 | (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
% 15.86/4.23 | (182) member(all_10_3_13, all_0_5_5) = all_60_4_43
% 15.86/4.23 |
% 15.86/4.23 | 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:
% 15.86/4.23 | (183) apply(all_0_2_2, all_10_1_11, all_10_3_13) = 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)
% 15.86/4.23 |
% 15.86/4.23 | Applying alpha-rule on (183) yields:
% 15.86/4.23 | (184) member(all_29_3_20, all_0_6_6) = all_62_5_50
% 15.86/4.23 | (185) member(all_10_1_11, all_0_5_5) = all_62_2_47
% 15.86/4.23 | (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
% 15.86/4.23 | (187) member(all_30_3_24, all_0_6_6) = all_62_3_48
% 15.86/4.23 | (188) apply(all_0_3_3, all_29_3_20, all_30_3_24) = all_62_1_46
% 15.86/4.23 | (189) member(all_10_3_13, all_0_5_5) = all_62_4_49
% 15.86/4.23 | (190) apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_62_0_45
% 15.86/4.23 |
% 15.86/4.23 | 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:
% 15.86/4.23 | (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)
% 15.86/4.23 |
% 15.86/4.23 | Applying alpha-rule on (191) yields:
% 15.86/4.23 | (192) member(all_30_3_24, all_0_6_6) = all_64_3_54
% 15.86/4.23 | (193) member(all_10_1_11, all_0_5_5) = all_64_4_55
% 15.86/4.23 | (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
% 15.86/4.23 | (195) apply(all_0_2_2, all_10_1_11, all_10_1_11) = all_64_0_51
% 15.86/4.23 | (196) apply(all_0_3_3, all_30_3_24, all_30_3_24) = all_64_1_52
% 15.86/4.23 | (197) member(all_10_1_11, all_0_5_5) = all_64_2_53
% 15.86/4.23 | (198) member(all_30_3_24, all_0_6_6) = all_64_5_56
% 15.86/4.23 |
% 15.86/4.23 | 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:
% 15.86/4.23 | (199) apply(all_0_3_3, all_30_3_24, all_29_3_20) = 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)
% 15.86/4.23 |
% 15.86/4.23 | Applying alpha-rule on (199) yields:
% 15.86/4.23 | (200) member(all_10_2_12, all_0_7_7) = all_66_5_62
% 15.86/4.23 | (201) member(all_29_3_20, all_0_6_6) = all_66_2_59
% 15.86/4.23 | (202) ~ (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
% 15.86/4.23 | (203) apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_66_1_58
% 15.86/4.23 | (204) member(all_30_3_24, all_0_6_6) = all_66_4_61
% 15.86/4.23 | (205) apply(all_0_3_3, all_30_3_24, all_29_3_20) = all_66_0_57
% 15.86/4.23 | (206) member(all_10_4_14, all_0_7_7) = all_66_3_60
% 15.86/4.23 |
% 15.86/4.23 | 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:
% 15.86/4.23 | (207) apply(all_0_3_3, all_29_3_20, all_27_0_16) = 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)
% 15.86/4.23 |
% 15.86/4.23 | Applying alpha-rule on (207) yields:
% 15.86/4.23 | (208) apply(all_0_3_3, all_29_3_20, all_27_0_16) = all_72_0_65
% 15.86/4.23 | (209) ~ (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
% 15.86/4.23 | (210) member(all_10_4_14, all_0_7_7) = all_72_5_70
% 15.86/4.23 | (211) member(all_10_2_12, all_0_7_7) = all_72_3_68
% 15.86/4.23 | (212) member(all_27_0_16, all_0_6_6) = all_72_2_67
% 15.86/4.23 | (213) member(all_29_3_20, all_0_6_6) = all_72_4_69
% 15.86/4.23 | (214) apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_72_1_66
% 15.86/4.23 |
% 15.86/4.23 | 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:
% 15.86/4.23 | (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)
% 15.86/4.23 |
% 15.86/4.23 | Applying alpha-rule on (215) yields:
% 15.86/4.23 | (216) member(all_27_0_16, all_0_6_6) = all_74_4_75
% 15.86/4.23 | (217) member(all_27_0_16, all_0_6_6) = all_74_2_73
% 15.86/4.23 | (218) apply(all_0_3_3, all_27_0_16, all_27_0_16) = all_74_0_71
% 15.86/4.23 | (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
% 15.86/4.23 | (220) apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_74_1_72
% 15.86/4.23 | (221) member(all_10_2_12, all_0_7_7) = all_74_3_74
% 15.86/4.23 | (222) member(all_10_2_12, all_0_7_7) = all_74_5_76
% 15.86/4.23 |
% 15.86/4.23 | 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:
% 15.86/4.23 | (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)
% 15.86/4.23 |
% 15.86/4.23 | Applying alpha-rule on (223) yields:
% 15.86/4.23 | (224) apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_76_1_78
% 15.86/4.23 | (225) member(all_30_3_24, all_0_6_6) = all_76_2_79
% 15.91/4.23 | (226) apply(all_0_3_3, all_30_3_24, all_30_3_24) = all_76_0_77
% 15.91/4.23 | (227) member(all_10_2_12, all_0_7_7) = all_76_3_80
% 15.91/4.23 | (228) member(all_30_3_24, all_0_6_6) = all_76_4_81
% 15.91/4.23 | (229) member(all_10_2_12, all_0_7_7) = all_76_5_82
% 15.91/4.23 | (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
% 15.91/4.23 |
% 15.91/4.23 | 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:
% 15.91/4.23 | (231) apply(all_0_3_3, all_27_0_16, all_30_3_24) = 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)
% 15.91/4.23 |
% 15.91/4.23 | Applying alpha-rule on (231) yields:
% 15.91/4.23 | (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
% 15.91/4.23 | (233) member(all_10_2_12, all_0_7_7) = all_78_3_86
% 15.91/4.23 | (234) member(all_27_0_16, all_0_6_6) = all_78_4_87
% 15.91/4.23 | (235) apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_78_1_84
% 15.91/4.23 | (236) apply(all_0_3_3, all_27_0_16, all_30_3_24) = all_78_0_83
% 15.91/4.23 | (237) member(all_10_2_12, all_0_7_7) = all_78_5_88
% 15.91/4.23 | (238) member(all_30_3_24, all_0_6_6) = all_78_2_85
% 15.91/4.23 |
% 15.91/4.23 | 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:
% 15.91/4.23 | (239) apply(all_0_2_2, all_10_3_13, all_10_1_11) = 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)
% 15.91/4.23 |
% 15.91/4.23 | Applying alpha-rule on (239) yields:
% 15.91/4.23 | (240) apply(all_0_2_2, all_10_3_13, all_10_1_11) = all_80_0_89
% 15.91/4.23 | (241) member(all_10_1_11, all_0_5_5) = all_80_4_93
% 15.91/4.23 | (242) ~ (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
% 15.91/4.24 | (243) apply(all_0_3_3, all_30_3_24, all_29_3_20) = all_80_1_90
% 15.91/4.24 | (244) member(all_10_3_13, all_0_5_5) = all_80_2_91
% 15.91/4.24 | (245) member(all_30_3_24, all_0_6_6) = all_80_5_94
% 15.91/4.24 | (246) member(all_29_3_20, all_0_6_6) = all_80_3_92
% 15.91/4.24 |
% 15.91/4.24 | 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:
% 15.91/4.24 | (247) apply(all_0_3_3, all_30_3_24, all_27_0_16) = 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)
% 15.91/4.24 |
% 15.91/4.24 | Applying alpha-rule on (247) yields:
% 15.91/4.24 | (248) apply(all_0_4_4, all_10_2_12, all_10_2_12) = all_82_1_96
% 15.91/4.24 | (249) member(all_30_3_24, all_0_6_6) = all_82_4_99
% 15.91/4.24 | (250) member(all_27_0_16, all_0_6_6) = all_82_2_97
% 15.91/4.24 | (251) ~ (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
% 15.91/4.24 | (252) member(all_10_2_12, all_0_7_7) = all_82_3_98
% 15.91/4.24 | (253) member(all_10_2_12, all_0_7_7) = all_82_5_100
% 15.91/4.24 | (254) apply(all_0_3_3, all_30_3_24, all_27_0_16) = all_82_0_95
% 15.91/4.24 |
% 15.91/4.24 | 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:
% 15.91/4.24 | (255) apply(all_0_3_3, all_27_0_16, all_29_3_20) = 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)
% 15.91/4.24 |
% 15.91/4.24 | Applying alpha-rule on (255) yields:
% 15.91/4.24 | (256) member(all_27_0_16, all_0_6_6) = all_84_4_105
% 15.91/4.24 | (257) apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_84_1_102
% 15.91/4.24 | (258) member(all_10_2_12, all_0_7_7) = all_84_5_106
% 15.91/4.24 | (259) apply(all_0_3_3, all_27_0_16, all_29_3_20) = all_84_0_101
% 15.91/4.24 | (260) member(all_29_3_20, all_0_6_6) = all_84_2_103
% 15.91/4.24 | (261) ~ (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
% 15.91/4.24 | (262) member(all_10_4_14, all_0_7_7) = all_84_3_104
% 15.91/4.24 |
% 15.91/4.24 | 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:
% 15.91/4.24 | (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)
% 15.91/4.24 |
% 15.91/4.24 | Applying alpha-rule on (263) yields:
% 15.91/4.24 | (264) member(all_10_4_14, all_0_7_7) = all_86_5_112
% 15.91/4.24 | (265) apply(all_0_3_3, all_25_0_15, all_25_0_15) = all_86_0_107
% 15.91/4.24 | (266) member(all_25_0_15, all_0_6_6) = all_86_2_109
% 15.91/4.24 | (267) apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_86_1_108
% 15.91/4.24 | (268) member(all_10_4_14, all_0_7_7) = all_86_3_110
% 15.91/4.24 | (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
% 15.91/4.24 | (270) member(all_25_0_15, all_0_6_6) = all_86_4_111
% 15.91/4.24 |
% 15.91/4.24 | 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:
% 15.91/4.24 | (271) apply(all_0_3_3, all_25_0_15, all_29_3_20) = 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)
% 15.91/4.24 |
% 15.91/4.24 | Applying alpha-rule on (271) yields:
% 15.91/4.24 | (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
% 15.91/4.24 | (273) member(all_25_0_15, all_0_6_6) = all_88_4_117
% 15.91/4.24 | (274) apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_88_1_114
% 15.91/4.24 | (275) member(all_29_3_20, all_0_6_6) = all_88_2_115
% 15.91/4.24 | (276) member(all_10_4_14, all_0_7_7) = all_88_5_118
% 15.91/4.24 | (277) member(all_10_4_14, all_0_7_7) = all_88_3_116
% 15.91/4.24 | (278) apply(all_0_3_3, all_25_0_15, all_29_3_20) = all_88_0_113
% 15.91/4.24 |
% 15.91/4.24 | 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:
% 15.91/4.24 | (279) apply(all_0_3_3, all_25_0_15, all_27_0_16) = 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)
% 15.91/4.24 |
% 15.91/4.24 | Applying alpha-rule on (279) yields:
% 15.91/4.24 | (280) ~ (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
% 15.91/4.24 | (281) member(all_10_2_12, all_0_7_7) = all_90_3_122
% 15.91/4.24 | (282) member(all_27_0_16, all_0_6_6) = all_90_2_121
% 15.91/4.24 | (283) member(all_25_0_15, all_0_6_6) = all_90_4_123
% 15.91/4.24 | (284) member(all_10_4_14, all_0_7_7) = all_90_5_124
% 15.91/4.24 | (285) apply(all_0_3_3, all_25_0_15, all_27_0_16) = all_90_0_119
% 15.91/4.24 | (286) apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_90_1_120
% 15.91/4.24 |
% 15.91/4.24 | 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:
% 15.91/4.24 | (287) apply(all_0_3_3, all_27_0_16, all_25_0_15) = 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)
% 15.91/4.24 |
% 15.91/4.24 | Applying alpha-rule on (287) yields:
% 15.91/4.24 | (288) member(all_10_2_12, all_0_7_7) = all_92_5_130
% 15.91/4.24 | (289) member(all_10_4_14, all_0_7_7) = all_92_3_128
% 15.91/4.24 | (290) apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_92_1_126
% 15.91/4.24 | (291) member(all_27_0_16, all_0_6_6) = all_92_4_129
% 15.91/4.24 | (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
% 15.91/4.24 | (293) member(all_25_0_15, all_0_6_6) = all_92_2_127
% 15.91/4.24 | (294) apply(all_0_3_3, all_27_0_16, all_25_0_15) = all_92_0_125
% 15.91/4.24 |
% 15.91/4.24 | 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:
% 15.91/4.24 | (295) apply(all_0_3_3, all_25_0_15, all_30_3_24) = 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)
% 15.91/4.24 |
% 15.91/4.24 | Applying alpha-rule on (295) yields:
% 15.91/4.24 | (296) apply(all_0_4_4, all_10_4_14, all_10_2_12) = all_94_1_132
% 15.91/4.24 | (297) member(all_10_4_14, all_0_7_7) = all_94_5_136
% 15.91/4.24 | (298) member(all_30_3_24, all_0_6_6) = all_94_2_133
% 15.91/4.24 | (299) ~ (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
% 15.91/4.24 | (300) apply(all_0_3_3, all_25_0_15, all_30_3_24) = all_94_0_131
% 15.91/4.24 | (301) member(all_10_2_12, all_0_7_7) = all_94_3_134
% 15.91/4.24 | (302) member(all_25_0_15, all_0_6_6) = all_94_4_135
% 15.91/4.24 |
% 15.91/4.24 | 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:
% 15.91/4.24 | (303) apply(all_0_3_3, all_30_3_24, all_25_0_15) = 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)
% 15.91/4.24 |
% 15.91/4.24 | Applying alpha-rule on (303) yields:
% 15.91/4.24 | (304) apply(all_0_3_3, all_30_3_24, all_25_0_15) = all_96_0_137
% 15.91/4.24 | (305) member(all_30_3_24, all_0_6_6) = all_96_4_141
% 15.91/4.24 | (306) member(all_25_0_15, all_0_6_6) = all_96_2_139
% 15.91/4.24 | (307) ~ (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
% 15.91/4.24 | (308) apply(all_0_4_4, all_10_2_12, all_10_4_14) = all_96_1_138
% 15.91/4.24 | (309) member(all_10_2_12, all_0_7_7) = all_96_5_142
% 15.91/4.24 | (310) member(all_10_4_14, all_0_7_7) = all_96_3_140
% 15.91/4.24 |
% 15.91/4.24 | 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:
% 15.91/4.24 | (311) apply(all_0_3_3, all_29_3_20, all_25_0_15) = 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)
% 15.91/4.24 |
% 15.91/4.24 | Applying alpha-rule on (311) yields:
% 15.91/4.24 | (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
% 15.91/4.25 | (313) apply(all_0_4_4, all_10_4_14, all_10_4_14) = all_98_1_144
% 15.91/4.25 | (314) member(all_10_4_14, all_0_7_7) = all_98_5_148
% 15.91/4.25 | (315) member(all_29_3_20, all_0_6_6) = all_98_4_147
% 15.91/4.25 | (316) member(all_25_0_15, all_0_6_6) = all_98_2_145
% 15.91/4.25 | (317) member(all_10_4_14, all_0_7_7) = all_98_3_146
% 15.91/4.25 | (318) apply(all_0_3_3, all_29_3_20, all_25_0_15) = all_98_0_143
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (9) with all_0_2_2, all_10_1_11, all_10_3_13, all_62_0_45, all_10_0_10 and discharging atoms apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_62_0_45, apply(all_0_2_2, all_10_1_11, all_10_3_13) = all_10_0_10, yields:
% 15.91/4.25 | (319) all_62_0_45 = all_10_0_10
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (9) with all_0_3_3, all_29_3_20, all_30_3_24, all_58_0_33, all_62_1_46 and discharging atoms apply(all_0_3_3, all_29_3_20, all_30_3_24) = all_62_1_46, apply(all_0_3_3, all_29_3_20, all_30_3_24) = all_58_0_33, yields:
% 15.91/4.25 | (320) all_62_1_46 = all_58_0_33
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (9) 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:
% 15.91/4.25 | (321) all_94_1_132 = all_90_1_120
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (9) 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:
% 15.91/4.25 | (322) all_72_1_66 = 0
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (9) 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:
% 15.91/4.25 | (323) all_90_1_120 = all_72_1_66
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (9) 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:
% 15.91/4.25 | (324) all_94_1_132 = all_58_1_34
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (325) all_96_4_141 = all_94_2_133
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (326) all_94_2_133 = all_82_4_99
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (327) all_82_4_99 = all_80_5_94
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (328) all_80_5_94 = all_78_2_85
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (329) all_78_2_85 = all_76_2_79
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (330) all_96_4_141 = all_76_4_81
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (331) all_76_2_79 = all_66_4_61
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_64_3_54, 0 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) = 0, yields:
% 15.91/4.25 | (332) all_64_3_54 = 0
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_64_5_56, 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_64_5_56, yields:
% 15.91/4.25 | (333) all_76_2_79 = all_64_5_56
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_62_3_48, 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_62_3_48, yields:
% 15.91/4.25 | (334) all_64_3_54 = all_62_3_48
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (335) all_64_5_56 = all_62_3_48
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_30_3_24, all_0_6_6, all_58_2_35, 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_58_2_35, yields:
% 15.91/4.25 | (336) all_78_2_85 = all_58_2_35
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (337) all_98_4_147 = 0
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (338) all_98_4_147 = all_84_2_103
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (339) all_98_4_147 = all_80_3_92
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (340) all_80_3_92 = all_72_4_69
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_29_3_20, all_0_6_6, all_62_5_50, 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_62_5_50, yields:
% 15.91/4.25 | (341) all_72_4_69 = all_62_5_50
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (342) all_62_5_50 = all_60_3_42
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (343) all_60_3_42 = all_58_4_37
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_10_1_11, all_0_5_5, all_64_2_53, 0 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) = 0, yields:
% 15.91/4.25 | (344) all_64_2_53 = 0
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_10_1_11, all_0_5_5, all_64_4_55, 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_4_55, yields:
% 15.91/4.25 | (345) all_80_4_93 = all_64_4_55
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (346) all_64_2_53 = all_64_4_55
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (347) all_80_4_93 = all_62_2_47
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (348) all_94_3_134 = all_92_5_130
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (349) all_96_5_142 = all_90_3_122
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (350) all_92_5_130 = all_90_3_122
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (351) all_94_3_134 = all_84_5_106
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (352) all_96_5_142 = all_82_3_98
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (353) all_90_3_122 = all_82_5_100
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_78_3_86, 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_3_86, yields:
% 15.91/4.25 | (354) all_90_3_122 = all_78_3_86
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (355) all_78_5_88 = all_76_3_80
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (356) all_96_5_142 = all_76_5_82
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (357) all_74_3_74 = 0
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_74_3_74, 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_74_3_74, yields:
% 15.91/4.25 | (358) all_90_3_122 = all_74_3_74
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (359) all_78_3_86 = all_74_5_76
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_72_3_68, 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_72_3_68, yields:
% 15.91/4.25 | (360) all_90_3_122 = all_72_3_68
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (361) all_78_5_88 = all_66_5_62
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_66_5_62, all_72_3_68 and discharging atoms member(all_10_2_12, all_0_7_7) = all_72_3_68, member(all_10_2_12, all_0_7_7) = all_66_5_62, yields:
% 15.91/4.25 | (362) all_72_3_68 = all_66_5_62
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_10_2_12, all_0_7_7, all_58_3_36, 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_58_3_36, yields:
% 15.91/4.25 | (363) all_78_5_88 = all_58_3_36
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (364) all_62_4_49 = 0
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (365) all_98_5_148 = all_96_3_140
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (366) all_96_3_140 = all_94_5_136
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (367) all_94_5_136 = all_90_5_124
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (368) all_90_5_124 = all_88_3_116
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (369) all_88_5_118 = 0
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (370) all_92_3_128 = all_88_5_118
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (371) all_98_3_146 = all_86_3_110
% 15.91/4.25 |
% 15.91/4.25 | 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:
% 15.91/4.25 | (372) all_88_3_116 = all_86_5_112
% 15.91/4.25 |
% 15.91/4.25 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_86_5_112, 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_86_5_112, yields:
% 15.91/4.26 | (373) all_86_3_110 = all_86_5_112
% 15.91/4.26 |
% 15.91/4.26 | 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:
% 15.91/4.26 | (374) all_98_5_148 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | 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:
% 15.91/4.26 | (375) all_92_3_128 = all_72_5_70
% 15.91/4.26 |
% 15.91/4.26 | 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:
% 15.91/4.26 | (376) all_88_5_118 = all_66_3_60
% 15.91/4.26 |
% 15.91/4.26 | 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:
% 15.91/4.26 | (377) all_86_5_112 = all_58_5_38
% 15.91/4.26 |
% 15.91/4.26 | Instantiating formula (50) with all_10_4_14, all_0_7_7, all_56_3_30, 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_56_3_30, yields:
% 15.91/4.26 | (378) all_86_5_112 = all_56_3_30
% 15.91/4.26 |
% 15.91/4.26 | 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:
% 15.91/4.26 | (379) all_66_3_60 = all_56_3_30
% 15.91/4.26 |
% 15.91/4.26 | 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:
% 15.91/4.26 | (380) all_98_3_146 = all_56_5_32
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (371,380) yields a new equation:
% 15.91/4.26 | (381) all_86_3_110 = all_56_5_32
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 381 yields:
% 15.91/4.26 | (382) all_86_3_110 = all_56_5_32
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (337,338) yields a new equation:
% 15.91/4.26 | (383) all_84_2_103 = 0
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (339,338) yields a new equation:
% 15.91/4.26 | (384) all_84_2_103 = all_80_3_92
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (365,374) yields a new equation:
% 15.91/4.26 | (385) all_96_3_140 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 385 yields:
% 15.91/4.26 | (386) all_96_3_140 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (366,386) yields a new equation:
% 15.91/4.26 | (387) all_94_5_136 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 387 yields:
% 15.91/4.26 | (388) all_94_5_136 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (325,330) yields a new equation:
% 15.91/4.26 | (389) all_94_2_133 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 389 yields:
% 15.91/4.26 | (390) all_94_2_133 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (349,352) yields a new equation:
% 15.91/4.26 | (391) all_90_3_122 = all_82_3_98
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 391 yields:
% 15.91/4.26 | (392) all_90_3_122 = all_82_3_98
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (356,352) yields a new equation:
% 15.91/4.26 | (393) all_82_3_98 = all_76_5_82
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (321,324) yields a new equation:
% 15.91/4.26 | (394) all_90_1_120 = all_58_1_34
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 394 yields:
% 15.91/4.26 | (395) all_90_1_120 = all_58_1_34
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (326,390) yields a new equation:
% 15.91/4.26 | (396) all_82_4_99 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 396 yields:
% 15.91/4.26 | (397) all_82_4_99 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (348,351) yields a new equation:
% 15.91/4.26 | (398) all_92_5_130 = all_84_5_106
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 398 yields:
% 15.91/4.26 | (399) all_92_5_130 = all_84_5_106
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (367,388) yields a new equation:
% 15.91/4.26 | (400) all_90_5_124 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 400 yields:
% 15.91/4.26 | (401) all_90_5_124 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (370,375) yields a new equation:
% 15.91/4.26 | (402) all_88_5_118 = all_72_5_70
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 402 yields:
% 15.91/4.26 | (403) all_88_5_118 = all_72_5_70
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (350,399) yields a new equation:
% 15.91/4.26 | (404) all_90_3_122 = all_84_5_106
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 404 yields:
% 15.91/4.26 | (405) all_90_3_122 = all_84_5_106
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (323,395) yields a new equation:
% 15.91/4.26 | (406) all_72_1_66 = all_58_1_34
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 406 yields:
% 15.91/4.26 | (407) all_72_1_66 = all_58_1_34
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (358,405) yields a new equation:
% 15.91/4.26 | (408) all_84_5_106 = all_74_3_74
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (354,405) yields a new equation:
% 15.91/4.26 | (409) all_84_5_106 = all_78_3_86
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (353,405) yields a new equation:
% 15.91/4.26 | (410) all_84_5_106 = all_82_5_100
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (360,405) yields a new equation:
% 15.91/4.26 | (411) all_84_5_106 = all_72_3_68
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (392,405) yields a new equation:
% 15.91/4.26 | (412) all_84_5_106 = all_82_3_98
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (368,401) yields a new equation:
% 15.91/4.26 | (413) all_88_3_116 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 413 yields:
% 15.91/4.26 | (414) all_88_3_116 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (372,414) yields a new equation:
% 15.91/4.26 | (415) all_86_5_112 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 415 yields:
% 15.91/4.26 | (416) all_86_5_112 = all_84_3_104
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (376,403) yields a new equation:
% 15.91/4.26 | (417) all_72_5_70 = all_66_3_60
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (369,403) yields a new equation:
% 15.91/4.26 | (418) all_72_5_70 = 0
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (373,382) yields a new equation:
% 15.91/4.26 | (419) all_86_5_112 = all_56_5_32
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 419 yields:
% 15.91/4.26 | (420) all_86_5_112 = all_56_5_32
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (378,416) yields a new equation:
% 15.91/4.26 | (421) all_84_3_104 = all_56_3_30
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (377,416) yields a new equation:
% 15.91/4.26 | (422) all_84_3_104 = all_58_5_38
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (420,416) yields a new equation:
% 15.91/4.26 | (423) all_84_3_104 = all_56_5_32
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (384,383) yields a new equation:
% 15.91/4.26 | (424) all_80_3_92 = 0
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 424 yields:
% 15.91/4.26 | (425) all_80_3_92 = 0
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (421,422) yields a new equation:
% 15.91/4.26 | (426) all_58_5_38 = all_56_3_30
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (423,422) yields a new equation:
% 15.91/4.26 | (427) all_58_5_38 = all_56_5_32
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (409,410) yields a new equation:
% 15.91/4.26 | (428) all_82_5_100 = all_78_3_86
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (412,410) yields a new equation:
% 15.91/4.26 | (429) all_82_3_98 = all_82_5_100
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 429 yields:
% 15.91/4.26 | (430) all_82_3_98 = all_82_5_100
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (411,410) yields a new equation:
% 15.91/4.26 | (431) all_82_5_100 = all_72_3_68
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (408,410) yields a new equation:
% 15.91/4.26 | (432) all_82_5_100 = all_74_3_74
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (430,393) yields a new equation:
% 15.91/4.26 | (433) all_82_5_100 = all_76_5_82
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 433 yields:
% 15.91/4.26 | (434) all_82_5_100 = all_76_5_82
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (327,397) yields a new equation:
% 15.91/4.26 | (435) all_80_5_94 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 435 yields:
% 15.91/4.26 | (436) all_80_5_94 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (431,434) yields a new equation:
% 15.91/4.26 | (437) all_76_5_82 = all_72_3_68
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (428,434) yields a new equation:
% 15.91/4.26 | (438) all_78_3_86 = all_76_5_82
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 438 yields:
% 15.91/4.26 | (439) all_78_3_86 = all_76_5_82
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (432,434) yields a new equation:
% 15.91/4.26 | (440) all_76_5_82 = all_74_3_74
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (340,425) yields a new equation:
% 15.91/4.26 | (441) all_72_4_69 = 0
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 441 yields:
% 15.91/4.26 | (442) all_72_4_69 = 0
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (345,347) yields a new equation:
% 15.91/4.26 | (443) all_64_4_55 = all_62_2_47
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 443 yields:
% 15.91/4.26 | (444) all_64_4_55 = all_62_2_47
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (328,436) yields a new equation:
% 15.91/4.26 | (445) all_78_2_85 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 445 yields:
% 15.91/4.26 | (446) all_78_2_85 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (336,446) yields a new equation:
% 15.91/4.26 | (447) all_76_4_81 = all_58_2_35
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (329,446) yields a new equation:
% 15.91/4.26 | (448) all_76_2_79 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 448 yields:
% 15.91/4.26 | (449) all_76_2_79 = all_76_4_81
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (439,359) yields a new equation:
% 15.91/4.26 | (450) all_76_5_82 = all_74_5_76
% 15.91/4.26 |
% 15.91/4.26 | Simplifying 450 yields:
% 15.91/4.26 | (451) all_76_5_82 = all_74_5_76
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (361,355) yields a new equation:
% 15.91/4.26 | (452) all_76_3_80 = all_66_5_62
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (363,355) yields a new equation:
% 15.91/4.26 | (453) all_76_3_80 = all_58_3_36
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (333,331) yields a new equation:
% 15.91/4.26 | (454) all_66_4_61 = all_64_5_56
% 15.91/4.26 |
% 15.91/4.26 | Combining equations (449,331) yields a new equation:
% 15.91/4.26 | (455) all_76_4_81 = all_66_4_61
% 15.91/4.26 |
% 15.91/4.27 | Simplifying 455 yields:
% 15.91/4.27 | (456) all_76_4_81 = all_66_4_61
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (452,453) yields a new equation:
% 15.91/4.27 | (457) all_66_5_62 = all_58_3_36
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 457 yields:
% 15.91/4.27 | (458) all_66_5_62 = all_58_3_36
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (456,447) yields a new equation:
% 15.91/4.27 | (459) all_66_4_61 = all_58_2_35
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 459 yields:
% 15.91/4.27 | (460) all_66_4_61 = all_58_2_35
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (440,451) yields a new equation:
% 15.91/4.27 | (461) all_74_3_74 = all_74_5_76
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 461 yields:
% 15.91/4.27 | (462) all_74_3_74 = all_74_5_76
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (437,451) yields a new equation:
% 15.91/4.27 | (463) all_74_5_76 = all_72_3_68
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (462,357) yields a new equation:
% 15.91/4.27 | (464) all_74_5_76 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 464 yields:
% 15.91/4.27 | (465) all_74_5_76 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (463,465) yields a new equation:
% 15.91/4.27 | (466) all_72_3_68 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 466 yields:
% 15.91/4.27 | (467) all_72_3_68 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (322,407) yields a new equation:
% 15.91/4.27 | (468) all_58_1_34 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (362,467) yields a new equation:
% 15.91/4.27 | (469) all_66_5_62 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 469 yields:
% 15.91/4.27 | (470) all_66_5_62 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (341,442) yields a new equation:
% 15.91/4.27 | (471) all_62_5_50 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 471 yields:
% 15.91/4.27 | (472) all_62_5_50 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (417,418) yields a new equation:
% 15.91/4.27 | (473) all_66_3_60 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 473 yields:
% 15.91/4.27 | (474) all_66_3_60 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (379,474) yields a new equation:
% 15.91/4.27 | (475) all_56_3_30 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 475 yields:
% 15.91/4.27 | (476) all_56_3_30 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (454,460) yields a new equation:
% 15.91/4.27 | (477) all_64_5_56 = all_58_2_35
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 477 yields:
% 15.91/4.27 | (478) all_64_5_56 = all_58_2_35
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (458,470) yields a new equation:
% 15.91/4.27 | (479) all_58_3_36 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 479 yields:
% 15.91/4.27 | (480) all_58_3_36 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (346,344) yields a new equation:
% 15.91/4.27 | (481) all_64_4_55 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 481 yields:
% 15.91/4.27 | (482) all_64_4_55 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (334,332) yields a new equation:
% 15.91/4.27 | (483) all_62_3_48 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 483 yields:
% 15.91/4.27 | (484) all_62_3_48 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (444,482) yields a new equation:
% 15.91/4.27 | (485) all_62_2_47 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 485 yields:
% 15.91/4.27 | (486) all_62_2_47 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (335,478) yields a new equation:
% 15.91/4.27 | (487) all_62_3_48 = all_58_2_35
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 487 yields:
% 15.91/4.27 | (488) all_62_3_48 = all_58_2_35
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (484,488) yields a new equation:
% 15.91/4.27 | (489) all_58_2_35 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (342,472) yields a new equation:
% 15.91/4.27 | (490) all_60_3_42 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 490 yields:
% 15.91/4.27 | (491) all_60_3_42 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (343,491) yields a new equation:
% 15.91/4.27 | (492) all_58_4_37 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 492 yields:
% 15.91/4.27 | (493) all_58_4_37 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (426,427) yields a new equation:
% 15.91/4.27 | (494) all_56_3_30 = all_56_5_32
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 494 yields:
% 15.91/4.27 | (495) all_56_3_30 = all_56_5_32
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (476,495) yields a new equation:
% 15.91/4.27 | (496) all_56_5_32 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (496,427) yields a new equation:
% 15.91/4.27 | (497) all_58_5_38 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (489,488) yields a new equation:
% 15.91/4.27 | (484) all_62_3_48 = 0
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (186), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (499) ~ (all_62_1_46 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (320) can reduce 499 to:
% 15.91/4.27 | (500) ~ (all_58_0_33 = 0)
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (170), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (501) ~ (all_58_1_34 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (468) can reduce 501 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (468) all_58_1_34 = 0
% 15.91/4.27 | (504) ~ (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
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (504), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (505) ~ (all_58_2_35 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (489) can reduce 505 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (489) all_58_2_35 = 0
% 15.91/4.27 | (508) ~ (all_58_3_36 = 0) | ~ (all_58_4_37 = 0) | ~ (all_58_5_38 = 0) | all_58_0_33 = 0
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (508), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (509) ~ (all_58_3_36 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (480) can reduce 509 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (480) all_58_3_36 = 0
% 15.91/4.27 | (512) ~ (all_58_4_37 = 0) | ~ (all_58_5_38 = 0) | all_58_0_33 = 0
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (512), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (513) ~ (all_58_4_37 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (493) can reduce 513 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (493) all_58_4_37 = 0
% 15.91/4.27 | (516) ~ (all_58_5_38 = 0) | all_58_0_33 = 0
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (516), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (517) ~ (all_58_5_38 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (497) can reduce 517 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (497) all_58_5_38 = 0
% 15.91/4.27 | (520) all_58_0_33 = 0
% 15.91/4.27 |
% 15.91/4.27 | Equations (520) can reduce 500 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (522) all_62_1_46 = 0
% 15.91/4.27 | (523) ~ (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
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (523), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (524) ~ (all_62_2_47 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (486) can reduce 524 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (486) all_62_2_47 = 0
% 15.91/4.27 | (527) ~ (all_62_3_48 = 0) | ~ (all_62_4_49 = 0) | ~ (all_62_5_50 = 0) | all_62_0_45 = 0
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (527), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (528) ~ (all_62_3_48 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (484) can reduce 528 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (484) all_62_3_48 = 0
% 15.91/4.27 | (531) ~ (all_62_4_49 = 0) | ~ (all_62_5_50 = 0) | all_62_0_45 = 0
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (531), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (532) ~ (all_62_4_49 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (364) can reduce 532 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (364) all_62_4_49 = 0
% 15.91/4.27 | (535) ~ (all_62_5_50 = 0) | all_62_0_45 = 0
% 15.91/4.27 |
% 15.91/4.27 +-Applying beta-rule and splitting (535), into two cases.
% 15.91/4.27 |-Branch one:
% 15.91/4.27 | (536) ~ (all_62_5_50 = 0)
% 15.91/4.27 |
% 15.91/4.27 | Equations (472) can reduce 536 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.27 |-Branch two:
% 15.91/4.27 | (472) all_62_5_50 = 0
% 15.91/4.27 | (539) all_62_0_45 = 0
% 15.91/4.27 |
% 15.91/4.27 | Combining equations (319,539) yields a new equation:
% 15.91/4.27 | (540) all_10_0_10 = 0
% 15.91/4.27 |
% 15.91/4.27 | Simplifying 540 yields:
% 15.91/4.27 | (541) all_10_0_10 = 0
% 15.91/4.27 |
% 15.91/4.27 | Equations (541) can reduce 112 to:
% 15.91/4.27 | (100) $false
% 15.91/4.27 |
% 15.91/4.27 |-The branch is then unsatisfiable
% 15.91/4.28 |-Branch two:
% 15.91/4.28 | (543) 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))
% 15.91/4.28 |
% 15.91/4.28 | Applying alpha-rule on (543) yields:
% 15.91/4.28 | (544) member(all_10_3_13, all_0_5_5) = all_29_2_19
% 15.91/4.28 | (545) member(all_10_4_14, all_0_7_7) = all_29_3_20
% 15.91/4.28 | (546) ~ (all_29_2_19 = 0) | ~ (all_29_3_20 = 0)
% 15.91/4.28 |
% 15.91/4.28 | 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:
% 15.91/4.28 | (133) all_29_2_19 = 0
% 15.91/4.28 |
% 15.91/4.28 | 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:
% 15.91/4.28 | (548) all_29_3_20 = 0
% 15.91/4.28 |
% 15.91/4.28 +-Applying beta-rule and splitting (546), into two cases.
% 15.91/4.28 |-Branch one:
% 15.91/4.28 | (549) ~ (all_29_2_19 = 0)
% 15.91/4.28 |
% 15.91/4.28 | Equations (133) can reduce 549 to:
% 15.91/4.28 | (100) $false
% 15.91/4.28 |
% 15.91/4.28 |-The branch is then unsatisfiable
% 15.91/4.28 |-Branch two:
% 15.91/4.28 | (133) all_29_2_19 = 0
% 15.91/4.28 | (552) ~ (all_29_3_20 = 0)
% 15.91/4.28 |
% 15.91/4.28 | Equations (548) can reduce 552 to:
% 15.91/4.28 | (100) $false
% 15.91/4.28 |
% 15.91/4.28 |-The branch is then unsatisfiable
% 15.91/4.28 |-Branch two:
% 15.91/4.28 | (554) 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))
% 15.91/4.28 |
% 15.91/4.28 | Applying alpha-rule on (554) yields:
% 15.91/4.28 | (555) member(all_10_1_11, all_0_5_5) = all_30_2_23
% 15.91/4.28 | (556) member(all_10_2_12, all_0_7_7) = all_30_3_24
% 15.91/4.28 | (557) ~ (all_30_2_23 = 0) | ~ (all_30_3_24 = 0)
% 15.91/4.28 |
% 15.91/4.28 | 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:
% 15.91/4.28 | (129) all_30_2_23 = 0
% 15.91/4.28 |
% 15.91/4.28 | 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:
% 15.91/4.28 | (559) all_30_3_24 = 0
% 15.91/4.28 |
% 15.91/4.28 +-Applying beta-rule and splitting (557), into two cases.
% 15.91/4.28 |-Branch one:
% 15.91/4.28 | (560) ~ (all_30_2_23 = 0)
% 15.91/4.28 |
% 15.91/4.28 | Equations (129) can reduce 560 to:
% 15.91/4.28 | (100) $false
% 15.91/4.28 |
% 15.91/4.28 |-The branch is then unsatisfiable
% 15.91/4.28 |-Branch two:
% 15.91/4.28 | (129) all_30_2_23 = 0
% 15.91/4.28 | (563) ~ (all_30_3_24 = 0)
% 15.91/4.28 |
% 15.91/4.28 | Equations (559) can reduce 563 to:
% 15.91/4.28 | (100) $false
% 15.91/4.28 |
% 15.91/4.28 |-The branch is then unsatisfiable
% 15.91/4.28 % SZS output end Proof for theBenchmark
% 15.91/4.28
% 15.91/4.28 3688ms
%------------------------------------------------------------------------------