TSTP Solution File: CAT034+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CAT034+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 : Thu Jul 14 23:59:10 EDT 2022
% Result : Theorem 10.43s 2.98s
% Output : Proof 19.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n029.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 May 29 17:10:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.49/0.59 ____ _
% 0.49/0.59 ___ / __ \_____(_)___ ________ __________
% 0.49/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.49/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.49/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.49/0.59
% 0.49/0.59 A Theorem Prover for First-Order Logic
% 0.49/0.59 (ePrincess v.1.0)
% 0.49/0.59
% 0.49/0.59 (c) Philipp Rümmer, 2009-2015
% 0.49/0.59 (c) Peter Backeman, 2014-2015
% 0.49/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.49/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.49/0.59 Bug reports to peter@backeman.se
% 0.49/0.59
% 0.49/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.49/0.59
% 0.49/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.22/1.07 Prover 0: Preprocessing ...
% 5.73/1.91 Prover 0: Warning: ignoring some quantifiers
% 6.09/1.97 Prover 0: Constructing countermodel ...
% 10.43/2.97 Prover 0: proved (2334ms)
% 10.43/2.97
% 10.43/2.97 No countermodel exists, formula is valid
% 10.43/2.98 % SZS status Theorem for theBenchmark
% 10.43/2.98
% 10.43/2.98 Generating proof ... Warning: ignoring some quantifiers
% 17.87/4.69 found it (size 183)
% 17.87/4.69
% 17.87/4.69 % SZS output start Proof for theBenchmark
% 17.87/4.69 Assumed formulas after preprocessing and simplification:
% 17.87/4.69 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (k3_yoneda_1(v0, v5) = v11 & k2_yoneda_1(v0, v8) = v9 & k2_yoneda_1(v0, v6) = v7 & k1_yoneda_1(v0) = v2 & k12_nattra_1(v0, v2) = v3 & k2_cat_1(v0, v5) = v8 & k3_cat_1(v0, v5) = v6 & k4_tarski(v10, v11) = v12 & k4_tarski(v7, v9) = v10 & u2_cat_1(v3) = v4 & u2_cat_1(v0) = v1 & v2_funct_1(v13) & v1_relat_1(v17) & v1_relat_1(v15) & v1_relat_1(v13) & v1_funct_1(v17) & v1_funct_1(v15) & v1_funct_1(v13) & v1_xboole_0(v16) & v1_xboole_0(v15) & v1_xboole_0(k1_xboole_0) & m1_subset_1(v5, v1) & l1_cat_1(v18) & l1_cat_1(v0) & v2_cat_1(v0) & ~ v1_xboole_0(v14) & ~ m1_subset_1(v12, v4) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = v24 | ~ (g1_cat_1(v26, v27, v28, v29, v30, v31) = v25) | ~ (g1_cat_1(v19, v20, v21, v22, v23, v24) = v25) | ~ m1_relset_1(v24, v19, v20) | ~ m1_relset_1(v22, v20, v19) | ~ m1_relset_1(v21, v20, v19) | ~ v1_funct_2(v24, v19, v20) | ~ v1_funct_2(v22, v20, v19) | ~ v1_funct_2(v21, v20, v19) | ~ v1_funct_1(v24) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | ? [v32] : (k2_zfmisc_1(v20, v20) = v32 & ~ m1_relset_1(v23, v32, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v30 = v23 | ~ (g1_cat_1(v26, v27, v28, v29, v30, v31) = v25) | ~ (g1_cat_1(v19, v20, v21, v22, v23, v24) = v25) | ~ m1_relset_1(v24, v19, v20) | ~ m1_relset_1(v22, v20, v19) | ~ m1_relset_1(v21, v20, v19) | ~ v1_funct_2(v24, v19, v20) | ~ v1_funct_2(v22, v20, v19) | ~ v1_funct_2(v21, v20, v19) | ~ v1_funct_1(v24) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | ? [v32] : (k2_zfmisc_1(v20, v20) = v32 & ~ m1_relset_1(v23, v32, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v29 = v22 | ~ (g1_cat_1(v26, v27, v28, v29, v30, v31) = v25) | ~ (g1_cat_1(v19, v20, v21, v22, v23, v24) = v25) | ~ m1_relset_1(v24, v19, v20) | ~ m1_relset_1(v22, v20, v19) | ~ m1_relset_1(v21, v20, v19) | ~ v1_funct_2(v24, v19, v20) | ~ v1_funct_2(v22, v20, v19) | ~ v1_funct_2(v21, v20, v19) | ~ v1_funct_1(v24) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | ? [v32] : (k2_zfmisc_1(v20, v20) = v32 & ~ m1_relset_1(v23, v32, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v28 = v21 | ~ (g1_cat_1(v26, v27, v28, v29, v30, v31) = v25) | ~ (g1_cat_1(v19, v20, v21, v22, v23, v24) = v25) | ~ m1_relset_1(v24, v19, v20) | ~ m1_relset_1(v22, v20, v19) | ~ m1_relset_1(v21, v20, v19) | ~ v1_funct_2(v24, v19, v20) | ~ v1_funct_2(v22, v20, v19) | ~ v1_funct_2(v21, v20, v19) | ~ v1_funct_1(v24) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | ? [v32] : (k2_zfmisc_1(v20, v20) = v32 & ~ m1_relset_1(v23, v32, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v27 = v20 | ~ (g1_cat_1(v26, v27, v28, v29, v30, v31) = v25) | ~ (g1_cat_1(v19, v20, v21, v22, v23, v24) = v25) | ~ m1_relset_1(v24, v19, v20) | ~ m1_relset_1(v22, v20, v19) | ~ m1_relset_1(v21, v20, v19) | ~ v1_funct_2(v24, v19, v20) | ~ v1_funct_2(v22, v20, v19) | ~ v1_funct_2(v21, v20, v19) | ~ v1_funct_1(v24) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | ? [v32] : (k2_zfmisc_1(v20, v20) = v32 & ~ m1_relset_1(v23, v32, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v26 = v19 | ~ (g1_cat_1(v26, v27, v28, v29, v30, v31) = v25) | ~ (g1_cat_1(v19, v20, v21, v22, v23, v24) = v25) | ~ m1_relset_1(v24, v19, v20) | ~ m1_relset_1(v22, v20, v19) | ~ m1_relset_1(v21, v20, v19) | ~ v1_funct_2(v24, v19, v20) | ~ v1_funct_2(v22, v20, v19) | ~ v1_funct_2(v21, v20, v19) | ~ v1_funct_1(v24) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | ? [v32] : (k2_zfmisc_1(v20, v20) = v32 & ~ m1_relset_1(v23, v32, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v20 = v19 | ~ (k8_nattra_1(v27, v26, v25, v24, v23, v22, v21) = v20) | ~ (k8_nattra_1(v27, v26, v25, v24, v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = v19 | ~ (u1_cat_1(v19) = v20) | ~ (u2_cat_1(v19) = v21) | ~ (u3_cat_1(v19) = v22) | ~ (u4_cat_1(v19) = v23) | ~ (u5_cat_1(v19) = v24) | ~ (u6_cat_1(v19) = v25) | ~ (g1_cat_1(v20, v21, v22, v23, v24, v25) = v26) | ~ v1_cat_1(v19) | ~ l1_cat_1(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v20 = v19 | ~ (g1_cat_1(v26, v25, v24, v23, v22, v21) = v20) | ~ (g1_cat_1(v26, v25, v24, v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k8_nattra_1(v19, v20, v21, v22, v23, v24, v25) = v26) | ~ m2_nattra_1(v25, v19, v20, v22, v23) | ~ m2_nattra_1(v24, v19, v20, v21, v22) | ~ m2_cat_1(v23, v19, v20) | ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | m2_nattra_1(v26, v19, v20, v21, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k11_nattra_1(v19, v20) = v21) | ~ (k4_tarski(v25, v26) = v22) | ~ (k4_tarski(v23, v24) = v25) | ~ r2_nattra_1(v19, v20, v23, v24) | ~ m2_nattra_1(v26, v19, v20, v23, v24) | ~ m2_cat_1(v24, v19, v20) | ~ m2_cat_1(v23, v19, v20) | ~ m4_nattra_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | r2_hidden(v22, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k4_tarski(v21, v22) = v25) | ~ (u2_cat_1(v20) = v24) | ~ (u2_cat_1(v19) = v23) | ~ m1_subset_1(v22, v24) | ~ m1_subset_1(v21, v23) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | k13_cat_2(v19, v20, v21, v22) = v25) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (u1_cat_1(v19) = v23) | ~ (u2_cat_1(v20) = v24) | ~ m1_nattra_1(v25, v19, v20, v21, v22) | ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | m2_relset_1(v25, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (u1_cat_1(v19) = v23) | ~ (u2_cat_1(v20) = v24) | ~ m1_nattra_1(v25, v19, v20, v21, v22) | ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | v1_funct_2(v25, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (u1_cat_1(v19) = v23) | ~ (u2_cat_1(v20) = v24) | ~ m1_nattra_1(v25, v19, v20, v21, v22) | ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | v1_funct_1(v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (g1_cat_1(v19, v20, v21, v22, v23, v24) = v25) | ~ m1_relset_1(v24, v19, v20) | ~ m1_relset_1(v22, v20, v19) | ~ m1_relset_1(v21, v20, v19) | ~ v1_funct_2(v24, v19, v20) | ~ v1_funct_2(v22, v20, v19) | ~ v1_funct_2(v21, v20, v19) | ~ v1_funct_1(v24) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | v1_cat_1(v25) | ? [v26] : (k2_zfmisc_1(v20, v20) = v26 & ~ m1_relset_1(v23, v26, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (g1_cat_1(v19, v20, v21, v22, v23, v24) = v25) | ~ m1_relset_1(v24, v19, v20) | ~ m1_relset_1(v22, v20, v19) | ~ m1_relset_1(v21, v20, v19) | ~ v1_funct_2(v24, v19, v20) | ~ v1_funct_2(v22, v20, v19) | ~ v1_funct_2(v21, v20, v19) | ~ v1_funct_1(v24) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ v1_funct_1(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | l1_cat_1(v25) | ? [v26] : (k2_zfmisc_1(v20, v20) = v26 & ~ m1_relset_1(v23, v26, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v20 = v19 | ~ (k13_cat_2(v24, v23, v22, v21) = v20) | ~ (k13_cat_2(v24, v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (k4_nattra_1(v23, v22, v21) = v20) | ~ (k4_nattra_1(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (k7_nattra_1(v23, v22, v21) = v20) | ~ (k7_nattra_1(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (k1_tarski(v19) = v22) | ~ (k2_tarski(v21, v22) = v23) | ~ (k2_tarski(v19, v20) = v21) | k4_tarski(v19, v20) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (k13_cat_2(v19, v20, v21, v22) = v23) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (k11_cat_2(v19, v20) = v26 & u2_cat_1(v26) = v27 & u2_cat_1(v20) = v25 & u2_cat_1(v19) = v24 & ( ~ m1_subset_1(v22, v25) | ~ m1_subset_1(v21, v24) | m1_subset_1(v23, v27)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (k13_cat_2(v19, v20, v21, v22) = v23) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v24] : ? [v25] : ? [v26] : (k4_tarski(v21, v22) = v26 & u2_cat_1(v20) = v25 & u2_cat_1(v19) = v24 & (v26 = v23 | ~ m1_subset_1(v22, v25) | ~ m1_subset_1(v21, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (u2_cat_1(v20) = v22) | ~ (u2_cat_1(v19) = v21) | ~ m2_cat_1(v23, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | m2_relset_1(v23, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (u2_cat_1(v20) = v22) | ~ (u2_cat_1(v19) = v21) | ~ m2_cat_1(v23, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | v1_funct_2(v23, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (u2_cat_1(v20) = v22) | ~ (u2_cat_1(v19) = v21) | ~ m2_cat_1(v23, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | v1_funct_1(v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (u2_cat_1(v19) = v22) | ~ m1_cat_1(v23, v19, v20, v21) | ~ l1_cat_1(v19) | m1_subset_1(v23, v22) | ? [v24] : (u1_cat_1(v19) = v24 & ( ~ m1_subset_1(v21, v24) | ~ m1_subset_1(v20, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ m2_nattra_1(v23, v19, v20, v21, v22) | ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | m1_nattra_1(v23, v19, v20, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (k11_nattra_1(v19, v20) = v21) | ~ m4_nattra_1(v22, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (( ~ r2_hidden(v23, v22) | ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (k4_tarski(v31, v32) = v23) | ~ (k4_tarski(v29, v30) = v31) | ~ r2_nattra_1(v19, v20, v29, v30) | ~ m2_nattra_1(v32, v19, v20, v29, v30) | ~ m2_cat_1(v30, v19, v20) | ~ m2_cat_1(v29, v19, v20))) & (r2_hidden(v23, v22) | (v28 = v23 & k4_tarski(v26, v27) = v23 & k4_tarski(v24, v25) = v26 & r2_nattra_1(v19, v20, v24, v25) & m2_nattra_1(v27, v19, v20, v24, v25) & m2_cat_1(v25, v19, v20) & m2_cat_1(v24, v19, v20))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k5_cat_2(v22, v21) = v20) | ~ (k5_cat_2(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k5_cat_1(v22, v21) = v20) | ~ (k5_cat_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k3_yoneda_1(v22, v21) = v20) | ~ (k3_yoneda_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k11_cat_2(v22, v21) = v20) | ~ (k11_cat_2(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k2_yoneda_1(v22, v21) = v20) | ~ (k2_yoneda_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k20_ens_1(v22, v21) = v20) | ~ (k20_ens_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k7_cat_2(v22, v21) = v20) | ~ (k7_cat_2(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k12_nattra_1(v22, v21) = v20) | ~ (k12_nattra_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k10_cat_1(v22, v21) = v20) | ~ (k10_cat_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k1_funct_1(v22, v21) = v20) | ~ (k1_funct_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k2_cat_1(v22, v21) = v20) | ~ (k2_cat_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k3_cat_1(v22, v21) = v20) | ~ (k3_cat_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k11_nattra_1(v22, v21) = v20) | ~ (k11_nattra_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k4_tarski(v22, v21) = v20) | ~ (k4_tarski(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k2_tarski(v22, v21) = v20) | ~ (k2_tarski(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k2_zfmisc_1(v22, v21) = v20) | ~ (k2_zfmisc_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k4_nattra_1(v19, v20, v21) = v22) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | k7_nattra_1(v19, v20, v21) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k4_nattra_1(v19, v20, v21) = v22) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | m1_nattra_1(v22, v19, v20, v21, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_ens_1(v19) = v21) | ~ (k2_mcart_1(v20) = v22) | ~ m1_subset_1(v20, v21) | v1_relat_1(v22) | v1_xboole_0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_ens_1(v19) = v21) | ~ (k2_mcart_1(v20) = v22) | ~ m1_subset_1(v20, v21) | v1_funct_1(v22) | v1_xboole_0(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_yoneda_1(v19, v21) = v22) | ~ (k2_cat_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (k3_yoneda_1(v19, v20) = v24 & k2_yoneda_1(v19, v26) = v27 & k1_yoneda_1(v19) = v25 & k3_cat_1(v19, v20) = v26 & u2_cat_1(v19) = v23 & ( ~ m1_subset_1(v20, v23) | m2_nattra_1(v24, v19, v25, v27, v22)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_yoneda_1(v19, v21) = v22) | ~ (k3_cat_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (k3_yoneda_1(v19, v20) = v24 & k2_yoneda_1(v19, v26) = v27 & k1_yoneda_1(v19) = v25 & k2_cat_1(v19, v20) = v26 & u2_cat_1(v19) = v23 & ( ~ m1_subset_1(v20, v23) | m2_nattra_1(v24, v19, v25, v22, v27)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_yoneda_1(v19, v21) = v22) | ~ (u1_cat_1(v19) = v20) | ~ m1_subset_1(v21, v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | k20_ens_1(v19, v21) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k20_ens_1(v19, v21) = v22) | ~ (u1_cat_1(v19) = v20) | ~ m1_subset_1(v21, v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | k2_yoneda_1(v19, v21) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k7_nattra_1(v19, v20, v21) = v22) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | k4_nattra_1(v19, v20, v21) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k7_nattra_1(v19, v20, v21) = v22) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | m2_nattra_1(v22, v19, v20, v21, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k11_nattra_1(v19, v20) = v21) | ~ m4_nattra_1(v21, v19, v20) | ~ r2_hidden(v22, v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (k4_tarski(v25, v26) = v22 & k4_tarski(v23, v24) = v25 & r2_nattra_1(v19, v20, v23, v24) & m2_nattra_1(v26, v19, v20, v23, v24) & m2_cat_1(v24, v19, v20) & m2_cat_1(v23, v19, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_zfmisc_1(v19, v20) = v22) | ~ m2_relset_1(v21, v19, v20) | ? [v23] : (k1_zfmisc_1(v22) = v23 & m1_subset_1(v21, v23))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k1_zfmisc_1(v21) = v22) | ~ v1_xboole_0(v21) | ~ r2_hidden(v19, v20) | ~ m1_subset_1(v20, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k1_zfmisc_1(v21) = v22) | ~ r2_hidden(v19, v20) | ~ m1_subset_1(v20, v22) | m1_subset_1(v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u1_cat_1(v19) = v22) | ~ m1_subset_1(v21, v22) | ~ m1_subset_1(v20, v22) | ~ l1_cat_1(v19) | ? [v23] : (u2_cat_1(v19) = v23 & ! [v24] : ( ~ m1_cat_1(v24, v19, v20, v21) | m1_subset_1(v24, v23)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u1_cat_1(v19) = v22) | ~ m1_subset_1(v21, v22) | ~ m1_subset_1(v20, v22) | ~ l1_cat_1(v19) | ? [v23] : m1_cat_1(v23, v19, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | r2_nattra_1(v19, v20, v21, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v23] : m1_nattra_1(v23, v19, v20, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v19, v20) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v23] : m2_nattra_1(v23, v19, v20, v21, v22)) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_zfmisc_1(v20, v21) = v22) | v1_relat_1(v19) | ? [v23] : (k1_zfmisc_1(v22) = v23 & ~ m1_subset_1(v19, v23))) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k2_ens_1(v21) = v20) | ~ (k2_ens_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k1_tarski(v21) = v20) | ~ (k1_tarski(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k1_yoneda_1(v21) = v20) | ~ (k1_yoneda_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k17_ens_1(v21) = v20) | ~ (k17_ens_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k12_ens_1(v21) = v20) | ~ (k12_ens_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k1_relat_1(v21) = v20) | ~ (k1_relat_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k1_mcart_1(v21) = v20) | ~ (k1_mcart_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k2_mcart_1(v21) = v20) | ~ (k2_mcart_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k1_zfmisc_1(v21) = v20) | ~ (k1_zfmisc_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (u1_cat_1(v21) = v20) | ~ (u1_cat_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (u2_cat_1(v21) = v20) | ~ (u2_cat_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (u3_cat_1(v21) = v20) | ~ (u3_cat_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (u4_cat_1(v21) = v20) | ~ (u4_cat_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (u5_cat_1(v21) = v20) | ~ (u5_cat_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (u6_cat_1(v21) = v20) | ~ (u6_cat_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k5_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | k7_cat_2(v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k5_cat_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v22] : ? [v23] : (k10_cat_1(v19, v20) = v23 & u1_cat_1(v19) = v22 & (v23 = v21 | ~ m1_subset_1(v20, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k5_cat_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ? [v22] : ? [v23] : (u1_cat_1(v19) = v22 & u2_cat_1(v19) = v23 & ( ~ m1_subset_1(v20, v22) | m1_subset_1(v21, v23)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k3_yoneda_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (k2_yoneda_1(v19, v26) = v27 & k2_yoneda_1(v19, v24) = v25 & k1_yoneda_1(v19) = v23 & k2_cat_1(v19, v20) = v26 & k3_cat_1(v19, v20) = v24 & u2_cat_1(v19) = v22 & ( ~ m1_subset_1(v20, v22) | m2_nattra_1(v21, v19, v23, v25, v27)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k11_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | l1_cat_1(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k11_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | v2_cat_1(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_yoneda_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v22] : ? [v23] : (k1_yoneda_1(v19) = v23 & u1_cat_1(v19) = v22 & ( ~ m1_subset_1(v20, v22) | m2_cat_1(v21, v19, v23)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k20_ens_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k2_ens_1(v24) = v25 & k17_ens_1(v19) = v24 & u1_cat_1(v19) = v22 & u2_cat_1(v19) = v23 & ( ~ m1_subset_1(v20, v22) | (m2_relset_1(v21, v23, v25) & v1_funct_2(v21, v23, v25) & v1_funct_1(v21))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k7_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | k5_cat_2(v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k7_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | m1_cat_2(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k7_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v22] : ? [v23] : (k12_nattra_1(v19, v20) = v22 & k11_nattra_1(v19, v20) = v23 & ! [v24] : ! [v25] : ( ~ (u1_cat_1(v24) = v25) | ~ v1_cat_1(v24) | ~ l1_cat_1(v24) | ~ v2_cat_1(v24) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (k1_relat_1(v27) = v28 & u2_cat_1(v24) = v26 & u5_cat_1(v24) = v27 & ( ~ (v26 = v23) | ~ (v25 = v21) | v24 = v22 | (v32 = v30 & k13_cat_2(v24, v24, v31, v29) = v33 & k2_cat_1(v24, v31) = v30 & k3_cat_1(v24, v29) = v30 & m1_subset_1(v31, v23) & m1_subset_1(v29, v23) & ~ r2_hidden(v33, v28)) | (v31 = v29 & ~ (v34 = v30) & k10_cat_1(v24, v29) = v30 & k7_nattra_1(v19, v20, v29) = v33 & k4_tarski(v32, v33) = v34 & k4_tarski(v29, v29) = v32 & m2_cat_1(v29, v19, v20) & m1_subset_1(v29, v21)) | (k1_funct_1(v27, v31) = v32 & k13_cat_2(v24, v24, v30, v29) = v31 & r2_hidden(v31, v28) & m1_subset_1(v30, v23) & m1_subset_1(v29, v23) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v36, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v35, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v40, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v39, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v39, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v44)))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v35, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v36, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v39, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v40, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v40, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v39, v43) = v44))))) | (k2_cat_1(v24, v29) = v30 & k1_mcart_1(v31) = v32 & k1_mcart_1(v29) = v31 & k3_cat_1(v24, v29) = v33 & k2_mcart_1(v31) = v34 & m1_subset_1(v29, v23) & ( ~ (v34 = v33) | ~ (v32 = v30)))) & ( ~ (v24 = v22) | (v26 = v23 & v25 = v21 & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : (v39 = v36 | ~ (k10_cat_1(v22, v35) = v36) | ~ (k7_nattra_1(v19, v20, v35) = v38) | ~ (k4_tarski(v37, v38) = v39) | ~ (k4_tarski(v35, v35) = v37) | ~ m2_cat_1(v35, v19, v20) | ~ m1_subset_1(v35, v21)) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k1_funct_1(v27, v37) = v38) | ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k13_cat_2(v22, v22, v37, v35) = v38) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | r2_hidden(v38, v28) | ? [v39] : ( ~ (v39 = v36) & k2_cat_1(v22, v37) = v39)) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k1_funct_1(v27, v37) = v38 & k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k2_cat_1(v22, v37) = v36) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : (k13_cat_2(v22, v22, v37, v35) = v38 & r2_hidden(v38, v28))) & ! [v35] : ! [v36] : ( ~ (k2_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k1_mcart_1(v37) = v36 & k1_mcart_1(v35) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v37) = v38)) & ! [v35] : ! [v36] : ( ~ (k1_mcart_1(v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v36) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v36) = v38)) & ! [v35] : ! [v36] : ( ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v38) = v37 & k1_mcart_1(v35) = v38 & k2_mcart_1(v38) = v36)))))) & ! [v24] : ! [v25] : ( ~ (u2_cat_1(v24) = v25) | ~ v1_cat_1(v24) | ~ l1_cat_1(v24) | ~ v2_cat_1(v24) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (k1_relat_1(v27) = v28 & u1_cat_1(v24) = v26 & u5_cat_1(v24) = v27 & ( ~ (v26 = v21) | ~ (v25 = v23) | v24 = v22 | (v32 = v30 & k13_cat_2(v24, v24, v31, v29) = v33 & k2_cat_1(v24, v31) = v30 & k3_cat_1(v24, v29) = v30 & m1_subset_1(v31, v23) & m1_subset_1(v29, v23) & ~ r2_hidden(v33, v28)) | (v31 = v29 & ~ (v34 = v30) & k10_cat_1(v24, v29) = v30 & k7_nattra_1(v19, v20, v29) = v33 & k4_tarski(v32, v33) = v34 & k4_tarski(v29, v29) = v32 & m2_cat_1(v29, v19, v20) & m1_subset_1(v29, v21)) | (k1_funct_1(v27, v31) = v32 & k13_cat_2(v24, v24, v30, v29) = v31 & r2_hidden(v31, v28) & m1_subset_1(v30, v23) & m1_subset_1(v29, v23) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v36, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v35, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v40, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v39, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v39, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v44)))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v35, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v36, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v39, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v40, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v40, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v39, v43) = v44))))) | (k2_cat_1(v24, v29) = v30 & k1_mcart_1(v31) = v32 & k1_mcart_1(v29) = v31 & k3_cat_1(v24, v29) = v33 & k2_mcart_1(v31) = v34 & m1_subset_1(v29, v23) & ( ~ (v34 = v33) | ~ (v32 = v30)))) & ( ~ (v24 = v22) | (v26 = v21 & v25 = v23 & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : (v39 = v36 | ~ (k10_cat_1(v22, v35) = v36) | ~ (k7_nattra_1(v19, v20, v35) = v38) | ~ (k4_tarski(v37, v38) = v39) | ~ (k4_tarski(v35, v35) = v37) | ~ m2_cat_1(v35, v19, v20) | ~ m1_subset_1(v35, v21)) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k1_funct_1(v27, v37) = v38) | ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k13_cat_2(v22, v22, v37, v35) = v38) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | r2_hidden(v38, v28) | ? [v39] : ( ~ (v39 = v36) & k2_cat_1(v22, v37) = v39)) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k1_funct_1(v27, v37) = v38 & k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k2_cat_1(v22, v37) = v36) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : (k13_cat_2(v22, v22, v37, v35) = v38 & r2_hidden(v38, v28))) & ! [v35] : ! [v36] : ( ~ (k2_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k1_mcart_1(v37) = v36 & k1_mcart_1(v35) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v37) = v38)) & ! [v35] : ! [v36] : ( ~ (k1_mcart_1(v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v36) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v36) = v38)) & ! [v35] : ! [v36] : ( ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v38) = v37 & k1_mcart_1(v35) = v38 & k2_mcart_1(v38) = v36)))))) & ! [v24] : ! [v25] : ( ~ (u5_cat_1(v24) = v25) | ~ v1_cat_1(v24) | ~ l1_cat_1(v24) | ~ v2_cat_1(v24) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (k1_relat_1(v25) = v28 & u1_cat_1(v24) = v26 & u2_cat_1(v24) = v27 & ( ~ (v27 = v23) | ~ (v26 = v21) | v24 = v22 | (v32 = v30 & k13_cat_2(v24, v24, v31, v29) = v33 & k2_cat_1(v24, v31) = v30 & k3_cat_1(v24, v29) = v30 & m1_subset_1(v31, v23) & m1_subset_1(v29, v23) & ~ r2_hidden(v33, v28)) | (v31 = v29 & ~ (v34 = v30) & k10_cat_1(v24, v29) = v30 & k7_nattra_1(v19, v20, v29) = v33 & k4_tarski(v32, v33) = v34 & k4_tarski(v29, v29) = v32 & m2_cat_1(v29, v19, v20) & m1_subset_1(v29, v21)) | (k1_funct_1(v25, v31) = v32 & k13_cat_2(v24, v24, v30, v29) = v31 & r2_hidden(v31, v28) & m1_subset_1(v30, v23) & m1_subset_1(v29, v23) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v36, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v35, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v40, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v39, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v39, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v44)))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v35, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v36, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v39, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v40, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v40, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v39, v43) = v44))))) | (k2_cat_1(v24, v29) = v30 & k1_mcart_1(v31) = v32 & k1_mcart_1(v29) = v31 & k3_cat_1(v24, v29) = v33 & k2_mcart_1(v31) = v34 & m1_subset_1(v29, v23) & ( ~ (v34 = v33) | ~ (v32 = v30)))) & ( ~ (v24 = v22) | (v27 = v23 & v26 = v21 & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : (v39 = v36 | ~ (k10_cat_1(v22, v35) = v36) | ~ (k7_nattra_1(v19, v20, v35) = v38) | ~ (k4_tarski(v37, v38) = v39) | ~ (k4_tarski(v35, v35) = v37) | ~ m2_cat_1(v35, v19, v20) | ~ m1_subset_1(v35, v21)) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k1_funct_1(v25, v37) = v38) | ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k13_cat_2(v22, v22, v37, v35) = v38) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | r2_hidden(v38, v28) | ? [v39] : ( ~ (v39 = v36) & k2_cat_1(v22, v37) = v39)) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k1_funct_1(v25, v37) = v38 & k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k2_cat_1(v22, v37) = v36) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : (k13_cat_2(v22, v22, v37, v35) = v38 & r2_hidden(v38, v28))) & ! [v35] : ! [v36] : ( ~ (k2_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k1_mcart_1(v37) = v36 & k1_mcart_1(v35) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v37) = v38)) & ! [v35] : ! [v36] : ( ~ (k1_mcart_1(v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v36) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v36) = v38)) & ! [v35] : ! [v36] : ( ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v38) = v37 & k1_mcart_1(v35) = v38 & k2_mcart_1(v38) = v36)))))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k12_nattra_1(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | v1_cat_1(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k12_nattra_1(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | l1_cat_1(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k12_nattra_1(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | v2_cat_1(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k12_nattra_1(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v22] : ? [v23] : (k7_cat_2(v19, v20) = v22 & k11_nattra_1(v19, v20) = v23 & ! [v24] : ! [v25] : ( ~ (u1_cat_1(v24) = v25) | ~ v1_cat_1(v24) | ~ l1_cat_1(v24) | ~ v2_cat_1(v24) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (k1_relat_1(v27) = v28 & u2_cat_1(v24) = v26 & u5_cat_1(v24) = v27 & ( ~ (v26 = v23) | ~ (v25 = v22) | v24 = v21 | (v32 = v30 & k13_cat_2(v24, v24, v31, v29) = v33 & k2_cat_1(v24, v31) = v30 & k3_cat_1(v24, v29) = v30 & m1_subset_1(v31, v23) & m1_subset_1(v29, v23) & ~ r2_hidden(v33, v28)) | (v31 = v29 & ~ (v34 = v30) & k10_cat_1(v24, v29) = v30 & k7_nattra_1(v19, v20, v29) = v33 & k4_tarski(v32, v33) = v34 & k4_tarski(v29, v29) = v32 & m2_cat_1(v29, v19, v20) & m1_subset_1(v29, v22)) | (k1_funct_1(v27, v31) = v32 & k13_cat_2(v24, v24, v30, v29) = v31 & r2_hidden(v31, v28) & m1_subset_1(v30, v23) & m1_subset_1(v29, v23) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v36, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v35, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v40, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v39, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v39, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v44)))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v35, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v36, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v39, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v40, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v40, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v39, v43) = v44))))) | (k2_cat_1(v24, v29) = v30 & k1_mcart_1(v31) = v32 & k1_mcart_1(v29) = v31 & k3_cat_1(v24, v29) = v33 & k2_mcart_1(v31) = v34 & m1_subset_1(v29, v23) & ( ~ (v34 = v33) | ~ (v32 = v30)))) & ( ~ (v24 = v21) | (v26 = v23 & v25 = v22 & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : (v39 = v36 | ~ (k10_cat_1(v21, v35) = v36) | ~ (k7_nattra_1(v19, v20, v35) = v38) | ~ (k4_tarski(v37, v38) = v39) | ~ (k4_tarski(v35, v35) = v37) | ~ m2_cat_1(v35, v19, v20) | ~ m1_subset_1(v35, v22)) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k1_funct_1(v27, v37) = v38) | ~ (k13_cat_2(v21, v21, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k13_cat_2(v21, v21, v37, v35) = v38) | ~ (k3_cat_1(v21, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | r2_hidden(v38, v28) | ? [v39] : ( ~ (v39 = v36) & k2_cat_1(v21, v37) = v39)) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k13_cat_2(v21, v21, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k1_funct_1(v27, v37) = v38 & k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k2_cat_1(v21, v37) = v36) | ~ (k3_cat_1(v21, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : (k13_cat_2(v21, v21, v37, v35) = v38 & r2_hidden(v38, v28))) & ! [v35] : ! [v36] : ( ~ (k2_cat_1(v21, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k1_mcart_1(v37) = v36 & k1_mcart_1(v35) = v37 & k3_cat_1(v21, v35) = v38 & k2_mcart_1(v37) = v38)) & ! [v35] : ! [v36] : ( ~ (k1_mcart_1(v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v21, v35) = v37 & k1_mcart_1(v36) = v37 & k3_cat_1(v21, v35) = v38 & k2_mcart_1(v36) = v38)) & ! [v35] : ! [v36] : ( ~ (k3_cat_1(v21, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v21, v35) = v37 & k1_mcart_1(v38) = v37 & k1_mcart_1(v35) = v38 & k2_mcart_1(v38) = v36)))))) & ! [v24] : ! [v25] : ( ~ (u2_cat_1(v24) = v25) | ~ v1_cat_1(v24) | ~ l1_cat_1(v24) | ~ v2_cat_1(v24) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (k1_relat_1(v27) = v28 & u1_cat_1(v24) = v26 & u5_cat_1(v24) = v27 & ( ~ (v26 = v22) | ~ (v25 = v23) | v24 = v21 | (v32 = v30 & k13_cat_2(v24, v24, v31, v29) = v33 & k2_cat_1(v24, v31) = v30 & k3_cat_1(v24, v29) = v30 & m1_subset_1(v31, v23) & m1_subset_1(v29, v23) & ~ r2_hidden(v33, v28)) | (v31 = v29 & ~ (v34 = v30) & k10_cat_1(v24, v29) = v30 & k7_nattra_1(v19, v20, v29) = v33 & k4_tarski(v32, v33) = v34 & k4_tarski(v29, v29) = v32 & m2_cat_1(v29, v19, v20) & m1_subset_1(v29, v22)) | (k1_funct_1(v27, v31) = v32 & k13_cat_2(v24, v24, v30, v29) = v31 & r2_hidden(v31, v28) & m1_subset_1(v30, v23) & m1_subset_1(v29, v23) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v36, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v35, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v40, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v39, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v39, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v44)))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v35, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v36, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v39, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v40, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v40, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v39, v43) = v44))))) | (k2_cat_1(v24, v29) = v30 & k1_mcart_1(v31) = v32 & k1_mcart_1(v29) = v31 & k3_cat_1(v24, v29) = v33 & k2_mcart_1(v31) = v34 & m1_subset_1(v29, v23) & ( ~ (v34 = v33) | ~ (v32 = v30)))) & ( ~ (v24 = v21) | (v26 = v22 & v25 = v23 & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : (v39 = v36 | ~ (k10_cat_1(v21, v35) = v36) | ~ (k7_nattra_1(v19, v20, v35) = v38) | ~ (k4_tarski(v37, v38) = v39) | ~ (k4_tarski(v35, v35) = v37) | ~ m2_cat_1(v35, v19, v20) | ~ m1_subset_1(v35, v22)) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k1_funct_1(v27, v37) = v38) | ~ (k13_cat_2(v21, v21, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k13_cat_2(v21, v21, v37, v35) = v38) | ~ (k3_cat_1(v21, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | r2_hidden(v38, v28) | ? [v39] : ( ~ (v39 = v36) & k2_cat_1(v21, v37) = v39)) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k13_cat_2(v21, v21, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k1_funct_1(v27, v37) = v38 & k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k2_cat_1(v21, v37) = v36) | ~ (k3_cat_1(v21, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : (k13_cat_2(v21, v21, v37, v35) = v38 & r2_hidden(v38, v28))) & ! [v35] : ! [v36] : ( ~ (k2_cat_1(v21, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k1_mcart_1(v37) = v36 & k1_mcart_1(v35) = v37 & k3_cat_1(v21, v35) = v38 & k2_mcart_1(v37) = v38)) & ! [v35] : ! [v36] : ( ~ (k1_mcart_1(v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v21, v35) = v37 & k1_mcart_1(v36) = v37 & k3_cat_1(v21, v35) = v38 & k2_mcart_1(v36) = v38)) & ! [v35] : ! [v36] : ( ~ (k3_cat_1(v21, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v21, v35) = v37 & k1_mcart_1(v38) = v37 & k1_mcart_1(v35) = v38 & k2_mcart_1(v38) = v36)))))) & ! [v24] : ! [v25] : ( ~ (u5_cat_1(v24) = v25) | ~ v1_cat_1(v24) | ~ l1_cat_1(v24) | ~ v2_cat_1(v24) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (k1_relat_1(v25) = v28 & u1_cat_1(v24) = v26 & u2_cat_1(v24) = v27 & ( ~ (v27 = v23) | ~ (v26 = v22) | v24 = v21 | (v32 = v30 & k13_cat_2(v24, v24, v31, v29) = v33 & k2_cat_1(v24, v31) = v30 & k3_cat_1(v24, v29) = v30 & m1_subset_1(v31, v23) & m1_subset_1(v29, v23) & ~ r2_hidden(v33, v28)) | (v31 = v29 & ~ (v34 = v30) & k10_cat_1(v24, v29) = v30 & k7_nattra_1(v19, v20, v29) = v33 & k4_tarski(v32, v33) = v34 & k4_tarski(v29, v29) = v32 & m2_cat_1(v29, v19, v20) & m1_subset_1(v29, v22)) | (k1_funct_1(v25, v31) = v32 & k13_cat_2(v24, v24, v30, v29) = v31 & r2_hidden(v31, v28) & m1_subset_1(v30, v23) & m1_subset_1(v29, v23) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v36, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v35, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v40, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v39, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v39, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v44)))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v35, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v36, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v39, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v40, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v40, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v39, v43) = v44))))) | (k2_cat_1(v24, v29) = v30 & k1_mcart_1(v31) = v32 & k1_mcart_1(v29) = v31 & k3_cat_1(v24, v29) = v33 & k2_mcart_1(v31) = v34 & m1_subset_1(v29, v23) & ( ~ (v34 = v33) | ~ (v32 = v30)))) & ( ~ (v24 = v21) | (v27 = v23 & v26 = v22 & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : (v39 = v36 | ~ (k10_cat_1(v21, v35) = v36) | ~ (k7_nattra_1(v19, v20, v35) = v38) | ~ (k4_tarski(v37, v38) = v39) | ~ (k4_tarski(v35, v35) = v37) | ~ m2_cat_1(v35, v19, v20) | ~ m1_subset_1(v35, v22)) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k1_funct_1(v25, v37) = v38) | ~ (k13_cat_2(v21, v21, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k13_cat_2(v21, v21, v37, v35) = v38) | ~ (k3_cat_1(v21, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | r2_hidden(v38, v28) | ? [v39] : ( ~ (v39 = v36) & k2_cat_1(v21, v37) = v39)) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k13_cat_2(v21, v21, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k1_funct_1(v25, v37) = v38 & k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k2_cat_1(v21, v37) = v36) | ~ (k3_cat_1(v21, v35) = v36) | ~ m1_subset_1(v37, v23) | ~ m1_subset_1(v35, v23) | ? [v38] : (k13_cat_2(v21, v21, v37, v35) = v38 & r2_hidden(v38, v28))) & ! [v35] : ! [v36] : ( ~ (k2_cat_1(v21, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k1_mcart_1(v37) = v36 & k1_mcart_1(v35) = v37 & k3_cat_1(v21, v35) = v38 & k2_mcart_1(v37) = v38)) & ! [v35] : ! [v36] : ( ~ (k1_mcart_1(v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v21, v35) = v37 & k1_mcart_1(v36) = v37 & k3_cat_1(v21, v35) = v38 & k2_mcart_1(v36) = v38)) & ! [v35] : ! [v36] : ( ~ (k3_cat_1(v21, v35) = v36) | ~ m1_subset_1(v35, v23) | ? [v37] : ? [v38] : (k2_cat_1(v21, v35) = v37 & k1_mcart_1(v38) = v37 & k1_mcart_1(v35) = v38 & k2_mcart_1(v38) = v36)))))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k10_cat_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | m1_cat_1(v21, v19, v20, v20) | ? [v22] : (u1_cat_1(v19) = v22 & ~ m1_subset_1(v20, v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k10_cat_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v22] : ? [v23] : (k5_cat_1(v19, v20) = v23 & u1_cat_1(v19) = v22 & (v23 = v21 | ~ m1_subset_1(v20, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_cat_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ? [v22] : ? [v23] : (u1_cat_1(v19) = v23 & u2_cat_1(v19) = v22 & ( ~ m1_subset_1(v20, v22) | m1_subset_1(v21, v23)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k3_cat_1(v19, v20) = v21) | ~ l1_cat_1(v19) | ? [v22] : ? [v23] : (u1_cat_1(v19) = v23 & u2_cat_1(v19) = v22 & ( ~ m1_subset_1(v20, v22) | m1_subset_1(v21, v23)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k11_nattra_1(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | m4_nattra_1(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k11_nattra_1(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v22] : ? [v23] : (k7_cat_2(v19, v20) = v23 & k12_nattra_1(v19, v20) = v22 & ! [v24] : ! [v25] : ( ~ (u1_cat_1(v24) = v25) | ~ v1_cat_1(v24) | ~ l1_cat_1(v24) | ~ v2_cat_1(v24) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (k1_relat_1(v27) = v28 & u2_cat_1(v24) = v26 & u5_cat_1(v24) = v27 & ( ~ (v26 = v21) | ~ (v25 = v23) | v24 = v22 | (v32 = v30 & k13_cat_2(v24, v24, v31, v29) = v33 & k2_cat_1(v24, v31) = v30 & k3_cat_1(v24, v29) = v30 & m1_subset_1(v31, v21) & m1_subset_1(v29, v21) & ~ r2_hidden(v33, v28)) | (v31 = v29 & ~ (v34 = v30) & k10_cat_1(v24, v29) = v30 & k7_nattra_1(v19, v20, v29) = v33 & k4_tarski(v32, v33) = v34 & k4_tarski(v29, v29) = v32 & m2_cat_1(v29, v19, v20) & m1_subset_1(v29, v23)) | (k1_funct_1(v27, v31) = v32 & k13_cat_2(v24, v24, v30, v29) = v31 & r2_hidden(v31, v28) & m1_subset_1(v30, v21) & m1_subset_1(v29, v21) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v36, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v35, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v40, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v39, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v39, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v44)))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v35, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v36, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v39, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v40, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v40, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v39, v43) = v44))))) | (k2_cat_1(v24, v29) = v30 & k1_mcart_1(v31) = v32 & k1_mcart_1(v29) = v31 & k3_cat_1(v24, v29) = v33 & k2_mcart_1(v31) = v34 & m1_subset_1(v29, v21) & ( ~ (v34 = v33) | ~ (v32 = v30)))) & ( ~ (v24 = v22) | (v26 = v21 & v25 = v23 & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : (v39 = v36 | ~ (k10_cat_1(v22, v35) = v36) | ~ (k7_nattra_1(v19, v20, v35) = v38) | ~ (k4_tarski(v37, v38) = v39) | ~ (k4_tarski(v35, v35) = v37) | ~ m2_cat_1(v35, v19, v20) | ~ m1_subset_1(v35, v23)) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k1_funct_1(v27, v37) = v38) | ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v21) | ~ m1_subset_1(v35, v21) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k13_cat_2(v22, v22, v37, v35) = v38) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v21) | ~ m1_subset_1(v35, v21) | r2_hidden(v38, v28) | ? [v39] : ( ~ (v39 = v36) & k2_cat_1(v22, v37) = v39)) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v21) | ~ m1_subset_1(v35, v21) | ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k1_funct_1(v27, v37) = v38 & k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k2_cat_1(v22, v37) = v36) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v21) | ~ m1_subset_1(v35, v21) | ? [v38] : (k13_cat_2(v22, v22, v37, v35) = v38 & r2_hidden(v38, v28))) & ! [v35] : ! [v36] : ( ~ (k2_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v21) | ? [v37] : ? [v38] : (k1_mcart_1(v37) = v36 & k1_mcart_1(v35) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v37) = v38)) & ! [v35] : ! [v36] : ( ~ (k1_mcart_1(v35) = v36) | ~ m1_subset_1(v35, v21) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v36) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v36) = v38)) & ! [v35] : ! [v36] : ( ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v21) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v38) = v37 & k1_mcart_1(v35) = v38 & k2_mcart_1(v38) = v36)))))) & ! [v24] : ! [v25] : ( ~ (u2_cat_1(v24) = v25) | ~ v1_cat_1(v24) | ~ l1_cat_1(v24) | ~ v2_cat_1(v24) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (k1_relat_1(v27) = v28 & u1_cat_1(v24) = v26 & u5_cat_1(v24) = v27 & ( ~ (v26 = v23) | ~ (v25 = v21) | v24 = v22 | (v32 = v30 & k13_cat_2(v24, v24, v31, v29) = v33 & k2_cat_1(v24, v31) = v30 & k3_cat_1(v24, v29) = v30 & m1_subset_1(v31, v21) & m1_subset_1(v29, v21) & ~ r2_hidden(v33, v28)) | (v31 = v29 & ~ (v34 = v30) & k10_cat_1(v24, v29) = v30 & k7_nattra_1(v19, v20, v29) = v33 & k4_tarski(v32, v33) = v34 & k4_tarski(v29, v29) = v32 & m2_cat_1(v29, v19, v20) & m1_subset_1(v29, v23)) | (k1_funct_1(v27, v31) = v32 & k13_cat_2(v24, v24, v30, v29) = v31 & r2_hidden(v31, v28) & m1_subset_1(v30, v21) & m1_subset_1(v29, v21) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v36, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v35, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v40, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v39, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v39, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v44)))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v35, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v36, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v39, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v40, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v40, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v39, v43) = v44))))) | (k2_cat_1(v24, v29) = v30 & k1_mcart_1(v31) = v32 & k1_mcart_1(v29) = v31 & k3_cat_1(v24, v29) = v33 & k2_mcart_1(v31) = v34 & m1_subset_1(v29, v21) & ( ~ (v34 = v33) | ~ (v32 = v30)))) & ( ~ (v24 = v22) | (v26 = v23 & v25 = v21 & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : (v39 = v36 | ~ (k10_cat_1(v22, v35) = v36) | ~ (k7_nattra_1(v19, v20, v35) = v38) | ~ (k4_tarski(v37, v38) = v39) | ~ (k4_tarski(v35, v35) = v37) | ~ m2_cat_1(v35, v19, v20) | ~ m1_subset_1(v35, v23)) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k1_funct_1(v27, v37) = v38) | ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v21) | ~ m1_subset_1(v35, v21) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k13_cat_2(v22, v22, v37, v35) = v38) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v21) | ~ m1_subset_1(v35, v21) | r2_hidden(v38, v28) | ? [v39] : ( ~ (v39 = v36) & k2_cat_1(v22, v37) = v39)) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v21) | ~ m1_subset_1(v35, v21) | ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k1_funct_1(v27, v37) = v38 & k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k2_cat_1(v22, v37) = v36) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v21) | ~ m1_subset_1(v35, v21) | ? [v38] : (k13_cat_2(v22, v22, v37, v35) = v38 & r2_hidden(v38, v28))) & ! [v35] : ! [v36] : ( ~ (k2_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v21) | ? [v37] : ? [v38] : (k1_mcart_1(v37) = v36 & k1_mcart_1(v35) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v37) = v38)) & ! [v35] : ! [v36] : ( ~ (k1_mcart_1(v35) = v36) | ~ m1_subset_1(v35, v21) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v36) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v36) = v38)) & ! [v35] : ! [v36] : ( ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v21) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v38) = v37 & k1_mcart_1(v35) = v38 & k2_mcart_1(v38) = v36)))))) & ! [v24] : ! [v25] : ( ~ (u5_cat_1(v24) = v25) | ~ v1_cat_1(v24) | ~ l1_cat_1(v24) | ~ v2_cat_1(v24) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (k1_relat_1(v25) = v28 & u1_cat_1(v24) = v26 & u2_cat_1(v24) = v27 & ( ~ (v27 = v21) | ~ (v26 = v23) | v24 = v22 | (v32 = v30 & k13_cat_2(v24, v24, v31, v29) = v33 & k2_cat_1(v24, v31) = v30 & k3_cat_1(v24, v29) = v30 & m1_subset_1(v31, v21) & m1_subset_1(v29, v21) & ~ r2_hidden(v33, v28)) | (v31 = v29 & ~ (v34 = v30) & k10_cat_1(v24, v29) = v30 & k7_nattra_1(v19, v20, v29) = v33 & k4_tarski(v32, v33) = v34 & k4_tarski(v29, v29) = v32 & m2_cat_1(v29, v19, v20) & m1_subset_1(v29, v23)) | (k1_funct_1(v25, v31) = v32 & k13_cat_2(v24, v24, v30, v29) = v31 & r2_hidden(v31, v28) & m1_subset_1(v30, v21) & m1_subset_1(v29, v21) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v36, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v35, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v40, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v39, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v39, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v40, v43) = v44)))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : ( ~ (k4_tarski(v35, v38) = v39) | ~ (k4_tarski(v35, v36) = v37) | ~ m2_cat_1(v38, v19, v20) | ~ m2_cat_1(v36, v19, v20) | ~ m2_cat_1(v35, v19, v20) | ? [v40] : (k4_tarski(v36, v38) = v40 & ! [v41] : ! [v42] : ! [v43] : ( ~ (k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43) | ~ (k4_tarski(v39, v43) = v32) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v44] : ( ~ (v44 = v30) & k4_tarski(v40, v42) = v44)) & ! [v41] : ! [v42] : ( ~ (k4_tarski(v40, v42) = v30) | ~ (k4_tarski(v37, v41) = v29) | ~ m2_nattra_1(v42, v19, v20, v36, v38) | ~ m2_nattra_1(v41, v19, v20, v35, v36) | ? [v43] : ? [v44] : ( ~ (v44 = v32) & k8_nattra_1(v19, v20, v35, v36, v38, v41, v42) = v43 & k4_tarski(v39, v43) = v44))))) | (k2_cat_1(v24, v29) = v30 & k1_mcart_1(v31) = v32 & k1_mcart_1(v29) = v31 & k3_cat_1(v24, v29) = v33 & k2_mcart_1(v31) = v34 & m1_subset_1(v29, v21) & ( ~ (v34 = v33) | ~ (v32 = v30)))) & ( ~ (v24 = v22) | (v27 = v21 & v26 = v23 & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ! [v39] : (v39 = v36 | ~ (k10_cat_1(v22, v35) = v36) | ~ (k7_nattra_1(v19, v20, v35) = v38) | ~ (k4_tarski(v37, v38) = v39) | ~ (k4_tarski(v35, v35) = v37) | ~ m2_cat_1(v35, v19, v20) | ~ m1_subset_1(v35, v23)) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k1_funct_1(v25, v37) = v38) | ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v21) | ~ m1_subset_1(v35, v21) | ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ! [v38] : ( ~ (k13_cat_2(v22, v22, v37, v35) = v38) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v21) | ~ m1_subset_1(v35, v21) | r2_hidden(v38, v28) | ? [v39] : ( ~ (v39 = v36) & k2_cat_1(v22, v37) = v39)) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k13_cat_2(v22, v22, v36, v35) = v37) | ~ r2_hidden(v37, v28) | ~ m1_subset_1(v36, v21) | ~ m1_subset_1(v35, v21) | ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : (k1_funct_1(v25, v37) = v38 & k8_nattra_1(v19, v20, v39, v40, v42, v45, v46) = v47 & k4_tarski(v44, v47) = v38 & k4_tarski(v43, v46) = v36 & k4_tarski(v41, v45) = v35 & k4_tarski(v40, v42) = v43 & k4_tarski(v39, v42) = v44 & k4_tarski(v39, v40) = v41 & m2_nattra_1(v46, v19, v20, v40, v42) & m2_nattra_1(v45, v19, v20, v39, v40) & m2_cat_1(v42, v19, v20) & m2_cat_1(v40, v19, v20) & m2_cat_1(v39, v19, v20))) & ! [v35] : ! [v36] : ! [v37] : ( ~ (k2_cat_1(v22, v37) = v36) | ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v37, v21) | ~ m1_subset_1(v35, v21) | ? [v38] : (k13_cat_2(v22, v22, v37, v35) = v38 & r2_hidden(v38, v28))) & ! [v35] : ! [v36] : ( ~ (k2_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v21) | ? [v37] : ? [v38] : (k1_mcart_1(v37) = v36 & k1_mcart_1(v35) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v37) = v38)) & ! [v35] : ! [v36] : ( ~ (k1_mcart_1(v35) = v36) | ~ m1_subset_1(v35, v21) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v36) = v37 & k3_cat_1(v22, v35) = v38 & k2_mcart_1(v36) = v38)) & ! [v35] : ! [v36] : ( ~ (k3_cat_1(v22, v35) = v36) | ~ m1_subset_1(v35, v21) | ? [v37] : ? [v38] : (k2_cat_1(v22, v35) = v37 & k1_mcart_1(v38) = v37 & k1_mcart_1(v35) = v38 & k2_mcart_1(v38) = v36)))))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k4_tarski(v19, v20) = v21) | ? [v22] : ? [v23] : (k1_tarski(v19) = v23 & k2_tarski(v22, v23) = v21 & k2_tarski(v19, v20) = v22)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_tarski(v20, v19) = v21) | k2_tarski(v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_tarski(v19, v20) = v21) | k2_tarski(v20, v19) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v20, v20) = v21) | ~ (u2_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v22] : (u5_cat_1(v19) = v22 & m2_relset_1(v22, v21, v20) & v1_funct_1(v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) | ~ r1_tarski(v19, v20) | m1_subset_1(v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) | ~ m1_subset_1(v19, v21) | r1_tarski(v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ m1_cat_2(v21, v19, v20) | ~ v1_xboole_0(v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ m2_relset_1(v21, v19, v20) | m1_relset_1(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ m1_relset_1(v21, v19, v20) | m2_relset_1(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ m4_nattra_1(v21, v19, v20) | ~ v1_xboole_0(v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ v1_xboole_0(v20) | ~ v1_xboole_0(v19)) & ! [v19] : ! [v20] : ( ~ (k2_ens_1(v19) = v20) | ~ v1_xboole_0(v20) | v1_xboole_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_yoneda_1(v19) = v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | l1_cat_1(v20)) & ! [v19] : ! [v20] : ( ~ (k1_yoneda_1(v19) = v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | v2_cat_1(v20)) & ! [v19] : ! [v20] : ( ~ (k1_yoneda_1(v19) = v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v21] : (k17_ens_1(v19) = v21 & k12_ens_1(v21) = v20)) & ! [v19] : ! [v20] : ( ~ (k1_yoneda_1(v19) = v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v21] : (u2_cat_1(v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k2_yoneda_1(v19, v23) = v24) | ~ (k2_cat_1(v19, v22) = v23) | ~ m1_subset_1(v22, v21) | ? [v25] : ? [v26] : (k2_yoneda_1(v19, v25) = v26 & k3_cat_1(v19, v22) = v25 & r2_nattra_1(v19, v20, v26, v24))) & ! [v22] : ! [v23] : ! [v24] : ( ~ (k2_yoneda_1(v19, v23) = v24) | ~ (k3_cat_1(v19, v22) = v23) | ~ m1_subset_1(v22, v21) | ? [v25] : ? [v26] : (k2_yoneda_1(v19, v25) = v26 & k2_cat_1(v19, v22) = v25 & r2_nattra_1(v19, v20, v24, v26))))) & ! [v19] : ! [v20] : ( ~ (k17_ens_1(v19) = v20) | ~ v1_xboole_0(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19)) & ! [v19] : ! [v20] : ( ~ (k17_ens_1(v19) = v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v21] : (k1_yoneda_1(v19) = v21 & k12_ens_1(v20) = v21)) & ! [v19] : ! [v20] : ( ~ (k12_ens_1(v19) = v20) | v1_xboole_0(v19) | v1_cat_1(v20)) & ! [v19] : ! [v20] : ( ~ (k12_ens_1(v19) = v20) | v1_xboole_0(v19) | l1_cat_1(v20)) & ! [v19] : ! [v20] : ( ~ (k12_ens_1(v19) = v20) | v1_xboole_0(v19) | v2_cat_1(v20)) & ! [v19] : ! [v20] : ( ~ (u1_cat_1(v19) = v20) | ~ v1_xboole_0(v20) | ~ l1_cat_1(v19)) & ! [v19] : ! [v20] : ( ~ (u1_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (u2_cat_1(v19) = v22 & u3_cat_1(v19) = v21 & m2_relset_1(v21, v22, v20) & v1_funct_2(v21, v22, v20) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u1_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (u2_cat_1(v19) = v22 & u4_cat_1(v19) = v21 & m2_relset_1(v21, v22, v20) & v1_funct_2(v21, v22, v20) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u1_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (u2_cat_1(v19) = v22 & u6_cat_1(v19) = v21 & m2_relset_1(v21, v20, v22) & v1_funct_2(v21, v20, v22) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u2_cat_1(v19) = v20) | ~ v1_xboole_0(v20) | ~ l1_cat_1(v19)) & ! [v19] : ! [v20] : ( ~ (u2_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v19) | ? [v21] : (k1_yoneda_1(v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k2_yoneda_1(v19, v23) = v24) | ~ (k2_cat_1(v19, v22) = v23) | ~ m1_subset_1(v22, v20) | ? [v25] : ? [v26] : (k2_yoneda_1(v19, v25) = v26 & k3_cat_1(v19, v22) = v25 & r2_nattra_1(v19, v21, v26, v24))) & ! [v22] : ! [v23] : ! [v24] : ( ~ (k2_yoneda_1(v19, v23) = v24) | ~ (k3_cat_1(v19, v22) = v23) | ~ m1_subset_1(v22, v20) | ? [v25] : ? [v26] : (k2_yoneda_1(v19, v25) = v26 & k2_cat_1(v19, v22) = v25 & r2_nattra_1(v19, v21, v24, v26))))) & ! [v19] : ! [v20] : ( ~ (u2_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v20, v20) = v22 & u5_cat_1(v19) = v21 & m2_relset_1(v21, v22, v20) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u2_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (u1_cat_1(v19) = v22 & u3_cat_1(v19) = v21 & m2_relset_1(v21, v20, v22) & v1_funct_2(v21, v20, v22) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u2_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (u1_cat_1(v19) = v22 & u4_cat_1(v19) = v21 & m2_relset_1(v21, v20, v22) & v1_funct_2(v21, v20, v22) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u2_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (u1_cat_1(v19) = v22 & u6_cat_1(v19) = v21 & m2_relset_1(v21, v22, v20) & v1_funct_2(v21, v22, v20) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u3_cat_1(v19) = v20) | ~ l1_cat_1(v19) | v1_funct_1(v20)) & ! [v19] : ! [v20] : ( ~ (u3_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (u1_cat_1(v19) = v22 & u2_cat_1(v19) = v21 & m2_relset_1(v20, v21, v22) & v1_funct_2(v20, v21, v22))) & ! [v19] : ! [v20] : ( ~ (u4_cat_1(v19) = v20) | ~ l1_cat_1(v19) | v1_funct_1(v20)) & ! [v19] : ! [v20] : ( ~ (u4_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (u1_cat_1(v19) = v22 & u2_cat_1(v19) = v21 & m2_relset_1(v20, v21, v22) & v1_funct_2(v20, v21, v22))) & ! [v19] : ! [v20] : ( ~ (u5_cat_1(v19) = v20) | ~ l1_cat_1(v19) | v1_funct_1(v20)) & ! [v19] : ! [v20] : ( ~ (u5_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v21, v21) = v22 & u2_cat_1(v19) = v21 & m2_relset_1(v20, v22, v21))) & ! [v19] : ! [v20] : ( ~ (u6_cat_1(v19) = v20) | ~ l1_cat_1(v19) | v1_funct_1(v20)) & ! [v19] : ! [v20] : ( ~ (u6_cat_1(v19) = v20) | ~ l1_cat_1(v19) | ? [v21] : ? [v22] : (u1_cat_1(v19) = v21 & u2_cat_1(v19) = v22 & m2_relset_1(v20, v21, v22) & v1_funct_2(v20, v21, v22))) & ! [v19] : ! [v20] : ( ~ v1_xboole_0(v20) | ~ r2_hidden(v19, v20)) & ! [v19] : ! [v20] : ( ~ r2_hidden(v20, v19) | ~ r2_hidden(v19, v20)) & ! [v19] : ! [v20] : ( ~ r2_hidden(v19, v20) | m1_subset_1(v19, v20)) & ! [v19] : ! [v20] : ( ~ m1_subset_1(v19, v20) | v1_xboole_0(v20) | r2_hidden(v19, v20)) & ! [v19] : ! [v20] : ( ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v21] : m1_cat_2(v21, v19, v20)) & ! [v19] : ! [v20] : ( ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v21] : m2_cat_1(v21, v19, v20)) & ! [v19] : ! [v20] : ( ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ? [v21] : m4_nattra_1(v21, v19, v20)) & ! [v19] : (v19 = k1_xboole_0 | ~ v1_xboole_0(v19)) & ! [v19] : ( ~ v1_relat_1(v19) | ~ v1_funct_1(v19) | ~ v1_xboole_0(v19) | v2_funct_1(v19)) & ! [v19] : ( ~ v1_xboole_0(v19) | v1_funct_1(v19)) & ? [v19] : ? [v20] : ? [v21] : m2_relset_1(v21, v19, v20) & ? [v19] : ? [v20] : ? [v21] : m1_relset_1(v21, v19, v20) & ? [v19] : ? [v20] : m1_subset_1(v20, v19) & ? [v19] : r1_tarski(v19, v19))
% 18.36/4.83 | 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, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18 yields:
% 18.36/4.83 | (1) k3_yoneda_1(all_0_18_18, all_0_13_13) = all_0_7_7 & k2_yoneda_1(all_0_18_18, all_0_10_10) = all_0_9_9 & k2_yoneda_1(all_0_18_18, all_0_12_12) = all_0_11_11 & k1_yoneda_1(all_0_18_18) = all_0_16_16 & k12_nattra_1(all_0_18_18, all_0_16_16) = all_0_15_15 & k2_cat_1(all_0_18_18, all_0_13_13) = all_0_10_10 & k3_cat_1(all_0_18_18, all_0_13_13) = all_0_12_12 & k4_tarski(all_0_8_8, all_0_7_7) = all_0_6_6 & k4_tarski(all_0_11_11, all_0_9_9) = all_0_8_8 & u2_cat_1(all_0_15_15) = all_0_14_14 & u2_cat_1(all_0_18_18) = all_0_17_17 & v2_funct_1(all_0_5_5) & v1_relat_1(all_0_1_1) & v1_relat_1(all_0_3_3) & v1_relat_1(all_0_5_5) & v1_funct_1(all_0_1_1) & v1_funct_1(all_0_3_3) & v1_funct_1(all_0_5_5) & v1_xboole_0(all_0_2_2) & v1_xboole_0(all_0_3_3) & v1_xboole_0(k1_xboole_0) & m1_subset_1(all_0_13_13, all_0_17_17) & l1_cat_1(all_0_0_0) & l1_cat_1(all_0_18_18) & v2_cat_1(all_0_18_18) & ~ v1_xboole_0(all_0_4_4) & ~ m1_subset_1(all_0_6_6, all_0_14_14) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v5 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = v4 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v3 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v2 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v8 = v1 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v7 = v0 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v1 = v0 | ~ (k8_nattra_1(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (k8_nattra_1(v8, v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | ~ (u1_cat_1(v0) = v1) | ~ (u2_cat_1(v0) = v2) | ~ (u3_cat_1(v0) = v3) | ~ (u4_cat_1(v0) = v4) | ~ (u5_cat_1(v0) = v5) | ~ (u6_cat_1(v0) = v6) | ~ (g1_cat_1(v1, v2, v3, v4, v5, v6) = v7) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (g1_cat_1(v7, v6, v5, v4, v3, v2) = v1) | ~ (g1_cat_1(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (k8_nattra_1(v0, v1, v2, v3, v4, v5, v6) = v7) | ~ m2_nattra_1(v6, v0, v1, v3, v4) | ~ m2_nattra_1(v5, v0, v1, v2, v3) | ~ m2_cat_1(v4, v0, v1) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_nattra_1(v7, v0, v1, v2, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~ (k4_tarski(v6, v7) = v3) | ~ (k4_tarski(v4, v5) = v6) | ~ r2_nattra_1(v0, v1, v4, v5) | ~ m2_nattra_1(v7, v0, v1, v4, v5) | ~ m2_cat_1(v5, v0, v1) | ~ m2_cat_1(v4, v0, v1) | ~ m4_nattra_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r2_hidden(v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k4_tarski(v2, v3) = v6) | ~ (u2_cat_1(v1) = v5) | ~ (u2_cat_1(v0) = v4) | ~ m1_subset_1(v3, v5) | ~ m1_subset_1(v2, v4) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k13_cat_2(v0, v1, v2, v3) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_cat_1(v0) = v4) | ~ (u2_cat_1(v1) = v5) | ~ m1_nattra_1(v6, v0, v1, v2, v3) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_relset_1(v6, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_cat_1(v0) = v4) | ~ (u2_cat_1(v1) = v5) | ~ m1_nattra_1(v6, v0, v1, v2, v3) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_funct_2(v6, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_cat_1(v0) = v4) | ~ (u2_cat_1(v1) = v5) | ~ m1_nattra_1(v6, v0, v1, v2, v3) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_funct_1(v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | v1_cat_1(v6) | ? [v7] : (k2_zfmisc_1(v1, v1) = v7 & ~ m1_relset_1(v4, v7, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | l1_cat_1(v6) | ? [v7] : (k2_zfmisc_1(v1, v1) = v7 & ~ m1_relset_1(v4, v7, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k13_cat_2(v5, v4, v3, v2) = v1) | ~ (k13_cat_2(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k4_nattra_1(v4, v3, v2) = v1) | ~ (k4_nattra_1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k7_nattra_1(v4, v3, v2) = v1) | ~ (k7_nattra_1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k1_tarski(v0) = v3) | ~ (k2_tarski(v2, v3) = v4) | ~ (k2_tarski(v0, v1) = v2) | k4_tarski(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k13_cat_2(v0, v1, v2, v3) = v4) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k11_cat_2(v0, v1) = v7 & u2_cat_1(v7) = v8 & u2_cat_1(v1) = v6 & u2_cat_1(v0) = v5 & ( ~ m1_subset_1(v3, v6) | ~ m1_subset_1(v2, v5) | m1_subset_1(v4, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k13_cat_2(v0, v1, v2, v3) = v4) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5] : ? [v6] : ? [v7] : (k4_tarski(v2, v3) = v7 & u2_cat_1(v1) = v6 & u2_cat_1(v0) = v5 & (v7 = v4 | ~ m1_subset_1(v3, v6) | ~ m1_subset_1(v2, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u2_cat_1(v1) = v3) | ~ (u2_cat_1(v0) = v2) | ~ m2_cat_1(v4, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_relset_1(v4, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u2_cat_1(v1) = v3) | ~ (u2_cat_1(v0) = v2) | ~ m2_cat_1(v4, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_funct_2(v4, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u2_cat_1(v1) = v3) | ~ (u2_cat_1(v0) = v2) | ~ m2_cat_1(v4, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_funct_1(v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u2_cat_1(v0) = v3) | ~ m1_cat_1(v4, v0, v1, v2) | ~ l1_cat_1(v0) | m1_subset_1(v4, v3) | ? [v5] : (u1_cat_1(v0) = v5 & ( ~ m1_subset_1(v2, v5) | ~ m1_subset_1(v1, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ m2_nattra_1(v4, v0, v1, v2, v3) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m1_nattra_1(v4, v0, v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (k11_nattra_1(v0, v1) = v2) | ~ m4_nattra_1(v3, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ r2_hidden(v4, v3) | ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (k4_tarski(v12, v13) = v4) | ~ (k4_tarski(v10, v11) = v12) | ~ r2_nattra_1(v0, v1, v10, v11) | ~ m2_nattra_1(v13, v0, v1, v10, v11) | ~ m2_cat_1(v11, v0, v1) | ~ m2_cat_1(v10, v0, v1))) & (r2_hidden(v4, v3) | (v9 = v4 & k4_tarski(v7, v8) = v4 & k4_tarski(v5, v6) = v7 & r2_nattra_1(v0, v1, v5, v6) & m2_nattra_1(v8, v0, v1, v5, v6) & m2_cat_1(v6, v0, v1) & m2_cat_1(v5, v0, v1))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_cat_2(v3, v2) = v1) | ~ (k5_cat_2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_cat_1(v3, v2) = v1) | ~ (k5_cat_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_yoneda_1(v3, v2) = v1) | ~ (k3_yoneda_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k11_cat_2(v3, v2) = v1) | ~ (k11_cat_2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_yoneda_1(v3, v2) = v1) | ~ (k2_yoneda_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k20_ens_1(v3, v2) = v1) | ~ (k20_ens_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k7_cat_2(v3, v2) = v1) | ~ (k7_cat_2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k12_nattra_1(v3, v2) = v1) | ~ (k12_nattra_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k10_cat_1(v3, v2) = v1) | ~ (k10_cat_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_cat_1(v3, v2) = v1) | ~ (k2_cat_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_cat_1(v3, v2) = v1) | ~ (k3_cat_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k11_nattra_1(v3, v2) = v1) | ~ (k11_nattra_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k4_tarski(v3, v2) = v1) | ~ (k4_tarski(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_tarski(v3, v2) = v1) | ~ (k2_tarski(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_nattra_1(v0, v1, v2) = v3) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k7_nattra_1(v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_nattra_1(v0, v1, v2) = v3) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m1_nattra_1(v3, v0, v1, v2, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_ens_1(v0) = v2) | ~ (k2_mcart_1(v1) = v3) | ~ m1_subset_1(v1, v2) | v1_relat_1(v3) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_ens_1(v0) = v2) | ~ (k2_mcart_1(v1) = v3) | ~ m1_subset_1(v1, v2) | v1_funct_1(v3) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(v0, v2) = v3) | ~ (k2_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k3_yoneda_1(v0, v1) = v5 & k2_yoneda_1(v0, v7) = v8 & k1_yoneda_1(v0) = v6 & k3_cat_1(v0, v1) = v7 & u2_cat_1(v0) = v4 & ( ~ m1_subset_1(v1, v4) | m2_nattra_1(v5, v0, v6, v8, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(v0, v2) = v3) | ~ (k3_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k3_yoneda_1(v0, v1) = v5 & k2_yoneda_1(v0, v7) = v8 & k1_yoneda_1(v0) = v6 & k2_cat_1(v0, v1) = v7 & u2_cat_1(v0) = v4 & ( ~ m1_subset_1(v1, v4) | m2_nattra_1(v5, v0, v6, v3, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(v0, v2) = v3) | ~ (u1_cat_1(v0) = v1) | ~ m1_subset_1(v2, v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | k20_ens_1(v0, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k20_ens_1(v0, v2) = v3) | ~ (u1_cat_1(v0) = v1) | ~ m1_subset_1(v2, v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | k2_yoneda_1(v0, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k7_nattra_1(v0, v1, v2) = v3) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k4_nattra_1(v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k7_nattra_1(v0, v1, v2) = v3) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_nattra_1(v3, v0, v1, v2, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~ m4_nattra_1(v2, v0, v1) | ~ r2_hidden(v3, v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (k4_tarski(v6, v7) = v3 & k4_tarski(v4, v5) = v6 & r2_nattra_1(v0, v1, v4, v5) & m2_nattra_1(v7, v0, v1, v4, v5) & m2_cat_1(v5, v0, v1) & m2_cat_1(v4, v0, v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_cat_1(v0) = v3) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l1_cat_1(v0) | ? [v4] : (u2_cat_1(v0) = v4 & ! [v5] : ( ~ m1_cat_1(v5, v0, v1, v2) | m1_subset_1(v5, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_cat_1(v0) = v3) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l1_cat_1(v0) | ? [v4] : m1_cat_1(v4, v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r2_nattra_1(v0, v1, v2, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : m1_nattra_1(v4, v0, v1, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : m2_nattra_1(v4, v0, v1, v2, v3)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) | ? [v4] : (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k2_ens_1(v2) = v1) | ~ (k2_ens_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_yoneda_1(v2) = v1) | ~ (k1_yoneda_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k17_ens_1(v2) = v1) | ~ (k17_ens_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k12_ens_1(v2) = v1) | ~ (k12_ens_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_relat_1(v2) = v1) | ~ (k1_relat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_mcart_1(v2) = v1) | ~ (k1_mcart_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k2_mcart_1(v2) = v1) | ~ (k2_mcart_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_cat_1(v2) = v1) | ~ (u1_cat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_cat_1(v2) = v1) | ~ (u2_cat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u3_cat_1(v2) = v1) | ~ (u3_cat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u4_cat_1(v2) = v1) | ~ (u4_cat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u5_cat_1(v2) = v1) | ~ (u5_cat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u6_cat_1(v2) = v1) | ~ (u6_cat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k7_cat_2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k10_cat_1(v0, v1) = v4 & u1_cat_1(v0) = v3 & (v4 = v2 | ~ m1_subset_1(v1, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ? [v3] : ? [v4] : (u1_cat_1(v0) = v3 & u2_cat_1(v0) = v4 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_yoneda_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k2_yoneda_1(v0, v7) = v8 & k2_yoneda_1(v0, v5) = v6 & k1_yoneda_1(v0) = v4 & k2_cat_1(v0, v1) = v7 & k3_cat_1(v0, v1) = v5 & u2_cat_1(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m2_nattra_1(v2, v0, v4, v6, v8)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k11_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | l1_cat_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k11_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v2_cat_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k1_yoneda_1(v0) = v4 & u1_cat_1(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m2_cat_1(v2, v0, v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k20_ens_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (k2_ens_1(v5) = v6 & k17_ens_1(v0) = v5 & u1_cat_1(v0) = v3 & u2_cat_1(v0) = v4 & ( ~ m1_subset_1(v1, v3) | (m2_relset_1(v2, v4, v6) & v1_funct_2(v2, v4, v6) & v1_funct_1(v2))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k5_cat_2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m1_cat_2(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k12_nattra_1(v0, v1) = v3 & k11_nattra_1(v0, v1) = v4 & ! [v5] : ! [v6] : ( ~ (u1_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v4) | ~ (v6 = v2) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v2)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v7 = v4 & v6 = v2 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v2)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u2_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u1_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v2) | ~ (v6 = v4) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v2)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v7 = v2 & v6 = v4 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v2)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u5_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v6) = v9 & u1_cat_1(v5) = v7 & u2_cat_1(v5) = v8 & ( ~ (v8 = v4) | ~ (v7 = v2) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v2)) | (k1_funct_1(v6, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v8 = v4 & v7 = v2 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v2)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v6, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v6, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_cat_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | l1_cat_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v2_cat_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k7_cat_2(v0, v1) = v3 & k11_nattra_1(v0, v1) = v4 & ! [v5] : ! [v6] : ( ~ (u1_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v4) | ~ (v6 = v3) | v5 = v2 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v3)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v2) | (v7 = v4 & v6 = v3 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v2, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v3)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v2, v2, v18, v16) = v19) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v2, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v2, v18) = v17) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v2, v2, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u2_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u1_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v3) | ~ (v6 = v4) | v5 = v2 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v3)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v2) | (v7 = v3 & v6 = v4 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v2, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v3)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v2, v2, v18, v16) = v19) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v2, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v2, v18) = v17) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v2, v2, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u5_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v6) = v9 & u1_cat_1(v5) = v7 & u2_cat_1(v5) = v8 & ( ~ (v8 = v4) | ~ (v7 = v3) | v5 = v2 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v3)) | (k1_funct_1(v6, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v2) | (v8 = v4 & v7 = v3 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v2, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v3)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v6, v18) = v19) | ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v2, v2, v18, v16) = v19) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v2, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v6, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v2, v18) = v17) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v2, v2, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k10_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | m1_cat_1(v2, v0, v1, v1) | ? [v3] : (u1_cat_1(v0) = v3 & ~ m1_subset_1(v1, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k10_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k5_cat_1(v0, v1) = v4 & u1_cat_1(v0) = v3 & (v4 = v2 | ~ m1_subset_1(v1, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ? [v3] : ? [v4] : (u1_cat_1(v0) = v4 & u2_cat_1(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ? [v3] : ? [v4] : (u1_cat_1(v0) = v4 & u2_cat_1(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m4_nattra_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k7_cat_2(v0, v1) = v4 & k12_nattra_1(v0, v1) = v3 & ! [v5] : ! [v6] : ( ~ (u1_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v2) | ~ (v6 = v4) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v2) & m1_subset_1(v10, v2) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v4)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v2) & m1_subset_1(v10, v2) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v2) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v7 = v2 & v6 = v4 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v4)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u2_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u1_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v4) | ~ (v6 = v2) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v2) & m1_subset_1(v10, v2) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v4)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v2) & m1_subset_1(v10, v2) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v2) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v7 = v4 & v6 = v2 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v4)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u5_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v6) = v9 & u1_cat_1(v5) = v7 & u2_cat_1(v5) = v8 & ( ~ (v8 = v2) | ~ (v7 = v4) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v2) & m1_subset_1(v10, v2) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v4)) | (k1_funct_1(v6, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v2) & m1_subset_1(v10, v2) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v2) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v8 = v2 & v7 = v4 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v4)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v6, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v6, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k4_tarski(v0, v1) = v2) | ? [v3] : ? [v4] : (k1_tarski(v0) = v4 & k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v3] : (u5_cat_1(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_cat_2(v2, v0, v1) | ~ v1_xboole_0(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m4_nattra_1(v2, v0, v1) | ~ v1_xboole_0(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k2_ens_1(v0) = v1) | ~ v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_yoneda_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | l1_cat_1(v1)) & ! [v0] : ! [v1] : ( ~ (k1_yoneda_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | v2_cat_1(v1)) & ! [v0] : ! [v1] : ( ~ (k1_yoneda_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : (k17_ens_1(v0) = v2 & k12_ens_1(v2) = v1)) & ! [v0] : ! [v1] : ( ~ (k1_yoneda_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : (u2_cat_1(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_yoneda_1(v0, v4) = v5) | ~ (k2_cat_1(v0, v3) = v4) | ~ m1_subset_1(v3, v2) | ? [v6] : ? [v7] : (k2_yoneda_1(v0, v6) = v7 & k3_cat_1(v0, v3) = v6 & r2_nattra_1(v0, v1, v7, v5))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_yoneda_1(v0, v4) = v5) | ~ (k3_cat_1(v0, v3) = v4) | ~ m1_subset_1(v3, v2) | ? [v6] : ? [v7] : (k2_yoneda_1(v0, v6) = v7 & k2_cat_1(v0, v3) = v6 & r2_nattra_1(v0, v1, v5, v7))))) & ! [v0] : ! [v1] : ( ~ (k17_ens_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0)) & ! [v0] : ! [v1] : ( ~ (k17_ens_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : (k1_yoneda_1(v0) = v2 & k12_ens_1(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (k12_ens_1(v0) = v1) | v1_xboole_0(v0) | v1_cat_1(v1)) & ! [v0] : ! [v1] : ( ~ (k12_ens_1(v0) = v1) | v1_xboole_0(v0) | l1_cat_1(v1)) & ! [v0] : ! [v1] : ( ~ (k12_ens_1(v0) = v1) | v1_xboole_0(v0) | v2_cat_1(v1)) & ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0)) & ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u2_cat_1(v0) = v3 & u3_cat_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u2_cat_1(v0) = v3 & u4_cat_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u2_cat_1(v0) = v3 & u6_cat_1(v0) = v2 & m2_relset_1(v2, v1, v3) & v1_funct_2(v2, v1, v3) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0)) & ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : (k1_yoneda_1(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_yoneda_1(v0, v4) = v5) | ~ (k2_cat_1(v0, v3) = v4) | ~ m1_subset_1(v3, v1) | ? [v6] : ? [v7] : (k2_yoneda_1(v0, v6) = v7 & k3_cat_1(v0, v3) = v6 & r2_nattra_1(v0, v2, v7, v5))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_yoneda_1(v0, v4) = v5) | ~ (k3_cat_1(v0, v3) = v4) | ~ m1_subset_1(v3, v1) | ? [v6] : ? [v7] : (k2_yoneda_1(v0, v6) = v7 & k2_cat_1(v0, v3) = v6 & r2_nattra_1(v0, v2, v5, v7))))) & ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u5_cat_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u3_cat_1(v0) = v2 & m2_relset_1(v2, v1, v3) & v1_funct_2(v2, v1, v3) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u4_cat_1(v0) = v2 & m2_relset_1(v2, v1, v3) & v1_funct_2(v2, v1, v3) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u6_cat_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u3_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (u3_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u2_cat_1(v0) = v2 & m2_relset_1(v1, v2, v3) & v1_funct_2(v1, v2, v3))) & ! [v0] : ! [v1] : ( ~ (u4_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (u4_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u2_cat_1(v0) = v2 & m2_relset_1(v1, v2, v3) & v1_funct_2(v1, v2, v3))) & ! [v0] : ! [v1] : ( ~ (u5_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (u5_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u2_cat_1(v0) = v2 & m2_relset_1(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ (u6_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (u6_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v2 & u2_cat_1(v0) = v3 & m2_relset_1(v1, v2, v3) & v1_funct_2(v1, v2, v3))) & ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v2] : m1_cat_2(v2, v0, v1)) & ! [v0] : ! [v1] : ( ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v2] : m2_cat_1(v2, v0, v1)) & ! [v0] : ! [v1] : ( ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v2] : m4_nattra_1(v2, v0, v1)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ v1_relat_1(v0) | ~ v1_funct_1(v0) | ~ v1_xboole_0(v0) | v2_funct_1(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0)
% 18.86/4.89 |
% 18.86/4.89 | Applying alpha-rule on (1) yields:
% 18.86/4.89 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v5 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1)))
% 18.86/4.90 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~ (k4_tarski(v6, v7) = v3) | ~ (k4_tarski(v4, v5) = v6) | ~ r2_nattra_1(v0, v1, v4, v5) | ~ m2_nattra_1(v7, v0, v1, v4, v5) | ~ m2_cat_1(v5, v0, v1) | ~ m2_cat_1(v4, v0, v1) | ~ m4_nattra_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r2_hidden(v3, v2))
% 18.86/4.90 | (4) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : (k1_yoneda_1(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_yoneda_1(v0, v4) = v5) | ~ (k2_cat_1(v0, v3) = v4) | ~ m1_subset_1(v3, v1) | ? [v6] : ? [v7] : (k2_yoneda_1(v0, v6) = v7 & k3_cat_1(v0, v3) = v6 & r2_nattra_1(v0, v2, v7, v5))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_yoneda_1(v0, v4) = v5) | ~ (k3_cat_1(v0, v3) = v4) | ~ m1_subset_1(v3, v1) | ? [v6] : ? [v7] : (k2_yoneda_1(v0, v6) = v7 & k2_cat_1(v0, v3) = v6 & r2_nattra_1(v0, v2, v5, v7)))))
% 18.86/4.90 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (k11_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | l1_cat_1(v2))
% 18.86/4.90 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ? [v3] : ? [v4] : (u1_cat_1(v0) = v4 & u2_cat_1(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v4))))
% 18.86/4.90 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k11_cat_2(v3, v2) = v1) | ~ (k11_cat_2(v3, v2) = v0))
% 18.86/4.90 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k1_tarski(v0) = v3) | ~ (k2_tarski(v2, v3) = v4) | ~ (k2_tarski(v0, v1) = v2) | k4_tarski(v0, v1) = v4)
% 18.86/4.90 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = v4 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1)))
% 18.86/4.90 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k7_nattra_1(v0, v1, v2) = v3) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_nattra_1(v3, v0, v1, v2, v2))
% 18.86/4.90 | (11) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 18.86/4.90 | (12) k2_yoneda_1(all_0_18_18, all_0_10_10) = all_0_9_9
% 18.86/4.90 | (13) v1_relat_1(all_0_3_3)
% 18.86/4.90 | (14) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 18.86/4.90 | (15) ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u2_cat_1(v0) = v3 & u6_cat_1(v0) = v2 & m2_relset_1(v2, v1, v3) & v1_funct_2(v2, v1, v3) & v1_funct_1(v2)))
% 18.86/4.90 | (16) ! [v0] : ! [v1] : ( ~ (k1_yoneda_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : (k17_ens_1(v0) = v2 & k12_ens_1(v2) = v1))
% 18.86/4.90 | (17) ! [v0] : ! [v1] : ( ~ (k17_ens_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0))
% 18.86/4.90 | (18) ! [v0] : ! [v1] : ( ~ (u6_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v2 & u2_cat_1(v0) = v3 & m2_relset_1(v1, v2, v3) & v1_funct_2(v1, v2, v3)))
% 18.86/4.90 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_cat_1(v0) = v3) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l1_cat_1(v0) | ? [v4] : m1_cat_1(v4, v0, v1, v2))
% 18.86/4.90 | (20) ! [v0] : ! [v1] : ( ~ (u3_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u2_cat_1(v0) = v2 & m2_relset_1(v1, v2, v3) & v1_funct_2(v1, v2, v3)))
% 18.86/4.90 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | v1_cat_1(v6) | ? [v7] : (k2_zfmisc_1(v1, v1) = v7 & ~ m1_relset_1(v4, v7, v1)))
% 18.86/4.90 | (22) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0))
% 18.86/4.90 | (23) ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u2_cat_1(v0) = v3 & u3_cat_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 18.86/4.90 | (24) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 18.86/4.90 | (25) k4_tarski(all_0_8_8, all_0_7_7) = all_0_6_6
% 18.86/4.90 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_relat_1(v2) = v1) | ~ (k1_relat_1(v2) = v0))
% 18.86/4.90 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k7_nattra_1(v4, v3, v2) = v1) | ~ (k7_nattra_1(v4, v3, v2) = v0))
% 18.86/4.90 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ m2_nattra_1(v4, v0, v1, v2, v3) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m1_nattra_1(v4, v0, v1, v2, v3))
% 18.86/4.90 | (29) v1_relat_1(all_0_5_5)
% 18.86/4.90 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k2_mcart_1(v2) = v1) | ~ (k2_mcart_1(v2) = v0))
% 18.86/4.90 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k13_cat_2(v0, v1, v2, v3) = v4) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5] : ? [v6] : ? [v7] : (k4_tarski(v2, v3) = v7 & u2_cat_1(v1) = v6 & u2_cat_1(v0) = v5 & (v7 = v4 | ~ m1_subset_1(v3, v6) | ~ m1_subset_1(v2, v5))))
% 18.86/4.90 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_cat_1(v2) = v1) | ~ (u1_cat_1(v2) = v0))
% 18.86/4.90 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m4_nattra_1(v2, v0, v1))
% 18.86/4.90 | (34) ! [v0] : ! [v1] : ( ~ (k1_yoneda_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | v2_cat_1(v1))
% 18.86/4.90 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k20_ens_1(v3, v2) = v1) | ~ (k20_ens_1(v3, v2) = v0))
% 18.86/4.90 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u2_cat_1(v1) = v3) | ~ (u2_cat_1(v0) = v2) | ~ m2_cat_1(v4, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_funct_2(v4, v2, v3))
% 18.86/4.90 | (37) v1_relat_1(all_0_1_1)
% 18.86/4.90 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0))
% 18.86/4.90 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k2_ens_1(v2) = v1) | ~ (k2_ens_1(v2) = v0))
% 18.86/4.90 | (40) u2_cat_1(all_0_18_18) = all_0_17_17
% 18.86/4.90 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k7_cat_2(v0, v1) = v2)
% 18.86/4.90 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 18.86/4.90 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 18.86/4.90 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 18.86/4.90 | (45) k12_nattra_1(all_0_18_18, all_0_16_16) = all_0_15_15
% 18.86/4.90 | (46) ! [v0] : ! [v1] : ( ~ (u5_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1))
% 18.86/4.90 | (47) l1_cat_1(all_0_18_18)
% 18.86/4.90 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_cat_1(v2))
% 18.86/4.90 | (49) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u4_cat_1(v0) = v2 & m2_relset_1(v2, v1, v3) & v1_funct_2(v2, v1, v3) & v1_funct_1(v2)))
% 18.86/4.90 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ? [v3] : ? [v4] : (u1_cat_1(v0) = v4 & u2_cat_1(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v4))))
% 18.86/4.90 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_ens_1(v0) = v2) | ~ (k2_mcart_1(v1) = v3) | ~ m1_subset_1(v1, v2) | v1_relat_1(v3) | v1_xboole_0(v0))
% 18.86/4.90 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_cat_1(v2) = v1) | ~ (u2_cat_1(v2) = v0))
% 18.86/4.90 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (k11_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v2_cat_1(v2))
% 18.86/4.90 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ? [v3] : ? [v4] : (u1_cat_1(v0) = v3 & u2_cat_1(v0) = v4 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v4))))
% 18.86/4.90 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 18.86/4.90 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v8 = v1 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1)))
% 18.86/4.91 | (57) ! [v0] : ! [v1] : ( ~ (k17_ens_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : (k1_yoneda_1(v0) = v2 & k12_ens_1(v1) = v2))
% 18.86/4.91 | (58) v1_xboole_0(all_0_3_3)
% 18.86/4.91 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_cat_1(v0) = v4) | ~ (u2_cat_1(v1) = v5) | ~ m1_nattra_1(v6, v0, v1, v2, v3) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_funct_1(v6))
% 18.86/4.91 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v7 = v0 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1)))
% 18.86/4.91 | (61) ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0))
% 18.86/4.91 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | l1_cat_1(v6) | ? [v7] : (k2_zfmisc_1(v1, v1) = v7 & ~ m1_relset_1(v4, v7, v1)))
% 18.86/4.91 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v2_cat_1(v2))
% 18.86/4.91 | (64) ! [v0] : ! [v1] : ( ~ (u4_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1))
% 18.86/4.91 | (65) v1_xboole_0(all_0_2_2)
% 18.86/4.91 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_cat_1(v3, v2) = v1) | ~ (k5_cat_1(v3, v2) = v0))
% 18.86/4.91 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k12_nattra_1(v3, v2) = v1) | ~ (k12_nattra_1(v3, v2) = v0))
% 18.86/4.91 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r2_nattra_1(v0, v1, v2, v2))
% 18.86/4.91 | (69) ! [v0] : ! [v1] : ! [v2] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k7_cat_2(v0, v1) = v4 & k12_nattra_1(v0, v1) = v3 & ! [v5] : ! [v6] : ( ~ (u1_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v2) | ~ (v6 = v4) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v2) & m1_subset_1(v10, v2) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v4)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v2) & m1_subset_1(v10, v2) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v2) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v7 = v2 & v6 = v4 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v4)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u2_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u1_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v4) | ~ (v6 = v2) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v2) & m1_subset_1(v10, v2) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v4)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v2) & m1_subset_1(v10, v2) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v2) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v7 = v4 & v6 = v2 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v4)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u5_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v6) = v9 & u1_cat_1(v5) = v7 & u2_cat_1(v5) = v8 & ( ~ (v8 = v2) | ~ (v7 = v4) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v2) & m1_subset_1(v10, v2) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v4)) | (k1_funct_1(v6, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v2) & m1_subset_1(v10, v2) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v2) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v8 = v2 & v7 = v4 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v4)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v6, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v6, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v2) | ~ m1_subset_1(v16, v2) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v2) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17))))))))
% 18.86/4.92 | (70) v1_xboole_0(k1_xboole_0)
% 18.86/4.92 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_cat_2(v3, v2) = v1) | ~ (k5_cat_2(v3, v2) = v0))
% 18.86/4.92 | (72) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_yoneda_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k2_yoneda_1(v0, v7) = v8 & k2_yoneda_1(v0, v5) = v6 & k1_yoneda_1(v0) = v4 & k2_cat_1(v0, v1) = v7 & k3_cat_1(v0, v1) = v5 & u2_cat_1(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m2_nattra_1(v2, v0, v4, v6, v8))))
% 18.86/4.92 | (73) ! [v0] : ( ~ v1_relat_1(v0) | ~ v1_funct_1(v0) | ~ v1_xboole_0(v0) | v2_funct_1(v0))
% 18.86/4.92 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_cat_1(v0) = v3) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | ~ l1_cat_1(v0) | ? [v4] : (u2_cat_1(v0) = v4 & ! [v5] : ( ~ m1_cat_1(v5, v0, v1, v2) | m1_subset_1(v5, v4))))
% 18.86/4.92 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(v0, v2) = v3) | ~ (k2_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k3_yoneda_1(v0, v1) = v5 & k2_yoneda_1(v0, v7) = v8 & k1_yoneda_1(v0) = v6 & k3_cat_1(v0, v1) = v7 & u2_cat_1(v0) = v4 & ( ~ m1_subset_1(v1, v4) | m2_nattra_1(v5, v0, v6, v8, v3))))
% 18.86/4.92 | (76) ! [v0] : ! [v1] : ( ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v2] : m4_nattra_1(v2, v0, v1))
% 18.86/4.92 | (77) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u6_cat_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 18.86/4.92 | (78) l1_cat_1(all_0_0_0)
% 18.86/4.92 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 18.86/4.92 | (80) v2_cat_1(all_0_18_18)
% 18.86/4.92 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_nattra_1(v0, v1, v2) = v3) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m1_nattra_1(v3, v0, v1, v2, v2))
% 18.86/4.92 | (82) k3_yoneda_1(all_0_18_18, all_0_13_13) = all_0_7_7
% 18.86/4.92 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_cat_1(v0) = v4) | ~ (u2_cat_1(v1) = v5) | ~ m1_nattra_1(v6, v0, v1, v2, v3) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_relset_1(v6, v4, v5))
% 18.86/4.92 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : m2_nattra_1(v4, v0, v1, v2, v3))
% 18.86/4.92 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v3] : (u5_cat_1(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_1(v3)))
% 18.86/4.92 | (86) ! [v0] : ! [v1] : ( ~ (k1_yoneda_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | l1_cat_1(v1))
% 18.86/4.92 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m1_cat_2(v2, v0, v1))
% 18.86/4.93 | (88) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 18.86/4.93 | (89) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 18.86/4.93 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (k11_nattra_1(v0, v1) = v2) | ~ m4_nattra_1(v3, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ r2_hidden(v4, v3) | ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (k4_tarski(v12, v13) = v4) | ~ (k4_tarski(v10, v11) = v12) | ~ r2_nattra_1(v0, v1, v10, v11) | ~ m2_nattra_1(v13, v0, v1, v10, v11) | ~ m2_cat_1(v11, v0, v1) | ~ m2_cat_1(v10, v0, v1))) & (r2_hidden(v4, v3) | (v9 = v4 & k4_tarski(v7, v8) = v4 & k4_tarski(v5, v6) = v7 & r2_nattra_1(v0, v1, v5, v6) & m2_nattra_1(v8, v0, v1, v5, v6) & m2_cat_1(v6, v0, v1) & m2_cat_1(v5, v0, v1)))))
% 18.86/4.93 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k13_cat_2(v0, v1, v2, v3) = v4) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k11_cat_2(v0, v1) = v7 & u2_cat_1(v7) = v8 & u2_cat_1(v1) = v6 & u2_cat_1(v0) = v5 & ( ~ m1_subset_1(v3, v6) | ~ m1_subset_1(v2, v5) | m1_subset_1(v4, v8))))
% 18.86/4.93 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k12_nattra_1(v0, v1) = v3 & k11_nattra_1(v0, v1) = v4 & ! [v5] : ! [v6] : ( ~ (u1_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v4) | ~ (v6 = v2) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v2)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v7 = v4 & v6 = v2 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v2)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u2_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u1_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v2) | ~ (v6 = v4) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v2)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v7 = v2 & v6 = v4 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v2)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u5_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v6) = v9 & u1_cat_1(v5) = v7 & u2_cat_1(v5) = v8 & ( ~ (v8 = v4) | ~ (v7 = v2) | v5 = v3 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v2)) | (k1_funct_1(v6, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v3) | (v8 = v4 & v7 = v2 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v3, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v2)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v6, v18) = v19) | ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v3, v3, v18, v16) = v19) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v3, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v3, v3, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v6, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v3, v18) = v17) | ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v3, v3, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v3, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v3, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v3, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17))))))))
% 19.12/4.94 | (93) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2)
% 19.12/4.94 | (94) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2)
% 19.12/4.94 | (95) ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0))
% 19.12/4.94 | (96) k3_cat_1(all_0_18_18, all_0_13_13) = all_0_12_12
% 19.12/4.94 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u6_cat_1(v2) = v1) | ~ (u6_cat_1(v2) = v0))
% 19.12/4.94 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k7_nattra_1(v0, v1, v2) = v3) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k4_nattra_1(v0, v1, v2) = v3)
% 19.12/4.94 | (99) v1_funct_1(all_0_5_5)
% 19.12/4.94 | (100) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u3_cat_1(v0) = v2 & m2_relset_1(v2, v1, v3) & v1_funct_2(v2, v1, v3) & v1_funct_1(v2)))
% 19.12/4.94 | (101) ~ v1_xboole_0(all_0_4_4)
% 19.12/4.94 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_cat_1(v0) = v4) | ~ (u2_cat_1(v1) = v5) | ~ m1_nattra_1(v6, v0, v1, v2, v3) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_funct_2(v6, v4, v5))
% 19.12/4.94 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_tarski(v3, v2) = v1) | ~ (k2_tarski(v3, v2) = v0))
% 19.12/4.94 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k12_ens_1(v2) = v1) | ~ (k12_ens_1(v2) = v0))
% 19.12/4.94 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v0 | ~ (u1_cat_1(v0) = v1) | ~ (u2_cat_1(v0) = v2) | ~ (u3_cat_1(v0) = v3) | ~ (u4_cat_1(v0) = v4) | ~ (u5_cat_1(v0) = v5) | ~ (u6_cat_1(v0) = v6) | ~ (g1_cat_1(v1, v2, v3, v4, v5, v6) = v7) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0))
% 19.12/4.94 | (106) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u4_cat_1(v2) = v1) | ~ (u4_cat_1(v2) = v0))
% 19.12/4.94 | (107) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 19.12/4.94 | (108) ! [v0] : ! [v1] : ( ~ (k12_ens_1(v0) = v1) | v1_xboole_0(v0) | l1_cat_1(v1))
% 19.12/4.94 | (109) ! [v0] : ! [v1] : ( ~ (u3_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1))
% 19.12/4.94 | (110) v2_funct_1(all_0_5_5)
% 19.12/4.94 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(v0, v2) = v3) | ~ (k3_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k3_yoneda_1(v0, v1) = v5 & k2_yoneda_1(v0, v7) = v8 & k1_yoneda_1(v0) = v6 & k2_cat_1(v0, v1) = v7 & u2_cat_1(v0) = v4 & ( ~ m1_subset_1(v1, v4) | m2_nattra_1(v5, v0, v6, v3, v8))))
% 19.12/4.94 | (112) ! [v0] : ! [v1] : ( ~ (u6_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1))
% 19.12/4.94 | (113) ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u2_cat_1(v0) = v3 & u4_cat_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 19.12/4.94 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k11_nattra_1(v0, v1) = v2) | ~ m4_nattra_1(v2, v0, v1) | ~ r2_hidden(v3, v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (k4_tarski(v6, v7) = v3 & k4_tarski(v4, v5) = v6 & r2_nattra_1(v0, v1, v4, v5) & m2_nattra_1(v7, v0, v1, v4, v5) & m2_cat_1(v5, v0, v1) & m2_cat_1(v4, v0, v1)))
% 19.12/4.94 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4)))
% 19.12/4.94 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_cat_1(v3, v2) = v1) | ~ (k2_cat_1(v3, v2) = v0))
% 19.12/4.95 | (117) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u5_cat_1(v2) = v1) | ~ (u5_cat_1(v2) = v0))
% 19.12/4.95 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v10 = v3 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1)))
% 19.12/4.95 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_yoneda_1(v3, v2) = v1) | ~ (k2_yoneda_1(v3, v2) = v0))
% 19.12/4.95 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u2_cat_1(v1) = v3) | ~ (u2_cat_1(v0) = v2) | ~ m2_cat_1(v4, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_relset_1(v4, v2, v3))
% 19.12/4.95 | (121) m1_subset_1(all_0_13_13, all_0_17_17)
% 19.12/4.95 | (122) v1_funct_1(all_0_1_1)
% 19.12/4.95 | (123) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u5_cat_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_1(v2)))
% 19.12/4.95 | (124) k2_cat_1(all_0_18_18, all_0_13_13) = all_0_10_10
% 19.12/4.95 | (125) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k10_cat_1(v0, v1) = v4 & u1_cat_1(v0) = v3 & (v4 = v2 | ~ m1_subset_1(v1, v3))))
% 19.12/4.95 | (126) k1_yoneda_1(all_0_18_18) = all_0_16_16
% 19.12/4.95 | (127) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) | ? [v4] : (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4)))
% 19.12/4.95 | (128) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k17_ens_1(v2) = v1) | ~ (k17_ens_1(v2) = v0))
% 19.12/4.95 | (129) ! [v0] : ! [v1] : ! [v2] : ( ~ (k20_ens_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (k2_ens_1(v5) = v6 & k17_ens_1(v0) = v5 & u1_cat_1(v0) = v3 & u2_cat_1(v0) = v4 & ( ~ m1_subset_1(v1, v3) | (m2_relset_1(v2, v4, v6) & v1_funct_2(v2, v4, v6) & v1_funct_1(v2)))))
% 19.12/4.95 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k4_nattra_1(v4, v3, v2) = v1) | ~ (k4_nattra_1(v4, v3, v2) = v0))
% 19.12/4.95 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v9 = v2 | ~ (g1_cat_1(v7, v8, v9, v10, v11, v12) = v6) | ~ (g1_cat_1(v0, v1, v2, v3, v4, v5) = v6) | ~ m1_relset_1(v5, v0, v1) | ~ m1_relset_1(v3, v1, v0) | ~ m1_relset_1(v2, v1, v0) | ~ v1_funct_2(v5, v0, v1) | ~ v1_funct_2(v3, v1, v0) | ~ v1_funct_2(v2, v1, v0) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v3) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v13] : (k2_zfmisc_1(v1, v1) = v13 & ~ m1_relset_1(v4, v13, v1)))
% 19.12/4.95 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k11_nattra_1(v3, v2) = v1) | ~ (k11_nattra_1(v3, v2) = v0))
% 19.12/4.95 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k10_cat_1(v3, v2) = v1) | ~ (k10_cat_1(v3, v2) = v0))
% 19.12/4.95 | (134) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_yoneda_1(v2) = v1) | ~ (k1_yoneda_1(v2) = v0))
% 19.12/4.95 | (135) ! [v0] : ! [v1] : ( ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v2] : m1_cat_2(v2, v0, v1))
% 19.12/4.95 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (g1_cat_1(v7, v6, v5, v4, v3, v2) = v1) | ~ (g1_cat_1(v7, v6, v5, v4, v3, v2) = v0))
% 19.12/4.95 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : m1_nattra_1(v4, v0, v1, v2, v3))
% 19.12/4.95 | (138) ! [v0] : ! [v1] : ! [v2] : ( ~ m4_nattra_1(v2, v0, v1) | ~ v1_xboole_0(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0))
% 19.12/4.95 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (k8_nattra_1(v0, v1, v2, v3, v4, v5, v6) = v7) | ~ m2_nattra_1(v6, v0, v1, v3, v4) | ~ m2_nattra_1(v5, v0, v1, v2, v3) | ~ m2_cat_1(v4, v0, v1) | ~ m2_cat_1(v3, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_nattra_1(v7, v0, v1, v2, v4))
% 19.12/4.95 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u2_cat_1(v0) = v3) | ~ m1_cat_1(v4, v0, v1, v2) | ~ l1_cat_1(v0) | m1_subset_1(v4, v3) | ? [v5] : (u1_cat_1(v0) = v5 & ( ~ m1_subset_1(v2, v5) | ~ m1_subset_1(v1, v5))))
% 19.12/4.95 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k4_tarski(v3, v2) = v1) | ~ (k4_tarski(v3, v2) = v0))
% 19.12/4.95 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k7_cat_2(v3, v2) = v1) | ~ (k7_cat_2(v3, v2) = v0))
% 19.12/4.95 | (143) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 19.12/4.95 | (144) ! [v0] : ! [v1] : ( ~ (k2_ens_1(v0) = v1) | ~ v1_xboole_0(v1) | v1_xboole_0(v0))
% 19.12/4.95 | (145) ~ m1_subset_1(all_0_6_6, all_0_14_14)
% 19.12/4.95 | (146) ! [v0] : ! [v1] : ! [v2] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k7_cat_2(v0, v1) = v3 & k11_nattra_1(v0, v1) = v4 & ! [v5] : ! [v6] : ( ~ (u1_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u2_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v4) | ~ (v6 = v3) | v5 = v2 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v3)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v2) | (v7 = v4 & v6 = v3 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v2, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v3)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v2, v2, v18, v16) = v19) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v2, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v2, v18) = v17) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v2, v2, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u2_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v8) = v9 & u1_cat_1(v5) = v7 & u5_cat_1(v5) = v8 & ( ~ (v7 = v3) | ~ (v6 = v4) | v5 = v2 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v3)) | (k1_funct_1(v8, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v2) | (v7 = v3 & v6 = v4 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v2, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v3)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v8, v18) = v19) | ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v2, v2, v18, v16) = v19) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v2, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v8, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v2, v18) = v17) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v2, v2, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17)))))) & ! [v5] : ! [v6] : ( ~ (u5_cat_1(v5) = v6) | ~ v1_cat_1(v5) | ~ l1_cat_1(v5) | ~ v2_cat_1(v5) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (k1_relat_1(v6) = v9 & u1_cat_1(v5) = v7 & u2_cat_1(v5) = v8 & ( ~ (v8 = v4) | ~ (v7 = v3) | v5 = v2 | (v13 = v11 & k13_cat_2(v5, v5, v12, v10) = v14 & k2_cat_1(v5, v12) = v11 & k3_cat_1(v5, v10) = v11 & m1_subset_1(v12, v4) & m1_subset_1(v10, v4) & ~ r2_hidden(v14, v9)) | (v12 = v10 & ~ (v15 = v11) & k10_cat_1(v5, v10) = v11 & k7_nattra_1(v0, v1, v10) = v14 & k4_tarski(v13, v14) = v15 & k4_tarski(v10, v10) = v13 & m2_cat_1(v10, v0, v1) & m1_subset_1(v10, v3)) | (k1_funct_1(v6, v12) = v13 & k13_cat_2(v5, v5, v11, v10) = v12 & r2_hidden(v12, v9) & m1_subset_1(v11, v4) & m1_subset_1(v10, v4) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v16, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v21, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v20, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v20, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v21, v24) = v25)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v16, v19) = v20) | ~ (k4_tarski(v16, v17) = v18) | ~ m2_cat_1(v19, v0, v1) | ~ m2_cat_1(v17, v0, v1) | ~ m2_cat_1(v16, v0, v1) | ? [v21] : (k4_tarski(v17, v19) = v21 & ! [v22] : ! [v23] : ! [v24] : ( ~ (k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24) | ~ (k4_tarski(v20, v24) = v13) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v25] : ( ~ (v25 = v11) & k4_tarski(v21, v23) = v25)) & ! [v22] : ! [v23] : ( ~ (k4_tarski(v21, v23) = v11) | ~ (k4_tarski(v18, v22) = v10) | ~ m2_nattra_1(v23, v0, v1, v17, v19) | ~ m2_nattra_1(v22, v0, v1, v16, v17) | ? [v24] : ? [v25] : ( ~ (v25 = v13) & k8_nattra_1(v0, v1, v16, v17, v19, v22, v23) = v24 & k4_tarski(v20, v24) = v25))))) | (k2_cat_1(v5, v10) = v11 & k1_mcart_1(v12) = v13 & k1_mcart_1(v10) = v12 & k3_cat_1(v5, v10) = v14 & k2_mcart_1(v12) = v15 & m1_subset_1(v10, v4) & ( ~ (v15 = v14) | ~ (v13 = v11)))) & ( ~ (v5 = v2) | (v8 = v4 & v7 = v3 & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = v17 | ~ (k10_cat_1(v2, v16) = v17) | ~ (k7_nattra_1(v0, v1, v16) = v19) | ~ (k4_tarski(v18, v19) = v20) | ~ (k4_tarski(v16, v16) = v18) | ~ m2_cat_1(v16, v0, v1) | ~ m1_subset_1(v16, v3)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_funct_1(v6, v18) = v19) | ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k13_cat_2(v2, v2, v18, v16) = v19) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | r2_hidden(v19, v9) | ? [v20] : ( ~ (v20 = v17) & k2_cat_1(v2, v18) = v20)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k13_cat_2(v2, v2, v17, v16) = v18) | ~ r2_hidden(v18, v9) | ~ m1_subset_1(v17, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : (k1_funct_1(v6, v18) = v19 & k8_nattra_1(v0, v1, v20, v21, v23, v26, v27) = v28 & k4_tarski(v25, v28) = v19 & k4_tarski(v24, v27) = v17 & k4_tarski(v22, v26) = v16 & k4_tarski(v21, v23) = v24 & k4_tarski(v20, v23) = v25 & k4_tarski(v20, v21) = v22 & m2_nattra_1(v27, v0, v1, v21, v23) & m2_nattra_1(v26, v0, v1, v20, v21) & m2_cat_1(v23, v0, v1) & m2_cat_1(v21, v0, v1) & m2_cat_1(v20, v0, v1))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_cat_1(v2, v18) = v17) | ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v18, v4) | ~ m1_subset_1(v16, v4) | ? [v19] : (k13_cat_2(v2, v2, v18, v16) = v19 & r2_hidden(v19, v9))) & ! [v16] : ! [v17] : ( ~ (k2_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k1_mcart_1(v18) = v17 & k1_mcart_1(v16) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v18) = v19)) & ! [v16] : ! [v17] : ( ~ (k1_mcart_1(v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v17) = v18 & k3_cat_1(v2, v16) = v19 & k2_mcart_1(v17) = v19)) & ! [v16] : ! [v17] : ( ~ (k3_cat_1(v2, v16) = v17) | ~ m1_subset_1(v16, v4) | ? [v18] : ? [v19] : (k2_cat_1(v2, v16) = v18 & k1_mcart_1(v19) = v18 & k1_mcart_1(v16) = v19 & k2_mcart_1(v19) = v17))))))))
% 19.22/4.96 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v1 = v0 | ~ (k8_nattra_1(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (k8_nattra_1(v8, v7, v6, v5, v4, v3, v2) = v0))
% 19.22/4.97 | (148) k4_tarski(all_0_11_11, all_0_9_9) = all_0_8_8
% 19.22/4.97 | (149) k2_yoneda_1(all_0_18_18, all_0_12_12) = all_0_11_11
% 19.22/4.97 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k20_ens_1(v0, v2) = v3) | ~ (u1_cat_1(v0) = v1) | ~ m1_subset_1(v2, v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | k2_yoneda_1(v0, v2) = v3)
% 19.22/4.97 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_yoneda_1(v3, v2) = v1) | ~ (k3_yoneda_1(v3, v2) = v0))
% 19.22/4.97 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_nattra_1(v0, v1, v2) = v3) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k7_nattra_1(v0, v1, v2) = v3)
% 19.22/4.97 | (153) ! [v0] : ! [v1] : ! [v2] : ( ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | l1_cat_1(v2))
% 19.22/4.97 | (154) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 19.22/4.97 | (155) u2_cat_1(all_0_15_15) = all_0_14_14
% 19.22/4.97 | (156) ! [v0] : ! [v1] : ( ~ (u5_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u2_cat_1(v0) = v2 & m2_relset_1(v1, v3, v2)))
% 19.22/4.97 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_ens_1(v0) = v2) | ~ (k2_mcart_1(v1) = v3) | ~ m1_subset_1(v1, v2) | v1_funct_1(v3) | v1_xboole_0(v0))
% 19.22/4.97 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k4_tarski(v2, v3) = v6) | ~ (u2_cat_1(v1) = v5) | ~ (u2_cat_1(v0) = v4) | ~ m1_subset_1(v3, v5) | ~ m1_subset_1(v2, v4) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k13_cat_2(v0, v1, v2, v3) = v6)
% 19.22/4.97 | (159) ! [v0] : ! [v1] : ! [v2] : ( ~ (k10_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k5_cat_1(v0, v1) = v4 & u1_cat_1(v0) = v3 & (v4 = v2 | ~ m1_subset_1(v1, v3))))
% 19.22/4.97 | (160) ! [v0] : ! [v1] : ( ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v2] : m2_cat_1(v2, v0, v1))
% 19.22/4.97 | (161) ! [v0] : ! [v1] : ( ~ (k12_ens_1(v0) = v1) | v1_xboole_0(v0) | v2_cat_1(v1))
% 19.22/4.97 | (162) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0))
% 19.22/4.97 | (163) ! [v0] : ! [v1] : ! [v2] : ( ~ (k7_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k5_cat_2(v0, v1) = v2)
% 19.22/4.97 | (164) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v3] : ? [v4] : (k1_yoneda_1(v0) = v4 & u1_cat_1(v0) = v3 & ( ~ m1_subset_1(v1, v3) | m2_cat_1(v2, v0, v4))))
% 19.22/4.97 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_cat_1(v3, v2) = v1) | ~ (k3_cat_1(v3, v2) = v0))
% 19.22/4.97 | (166) ? [v0] : r1_tarski(v0, v0)
% 19.22/4.97 | (167) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 19.22/4.97 | (168) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 19.22/4.97 | (169) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_mcart_1(v2) = v1) | ~ (k1_mcart_1(v2) = v0))
% 19.22/4.97 | (170) ! [v0] : ! [v1] : ( ~ (k1_yoneda_1(v0) = v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : (u2_cat_1(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_yoneda_1(v0, v4) = v5) | ~ (k2_cat_1(v0, v3) = v4) | ~ m1_subset_1(v3, v2) | ? [v6] : ? [v7] : (k2_yoneda_1(v0, v6) = v7 & k3_cat_1(v0, v3) = v6 & r2_nattra_1(v0, v1, v7, v5))) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_yoneda_1(v0, v4) = v5) | ~ (k3_cat_1(v0, v3) = v4) | ~ m1_subset_1(v3, v2) | ? [v6] : ? [v7] : (k2_yoneda_1(v0, v6) = v7 & k2_cat_1(v0, v3) = v6 & r2_nattra_1(v0, v1, v5, v7)))))
% 19.22/4.97 | (171) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 19.22/4.97 | (172) ! [v0] : ! [v1] : ! [v2] : ( ~ (k10_cat_1(v0, v1) = v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | m1_cat_1(v2, v0, v1, v1) | ? [v3] : (u1_cat_1(v0) = v3 & ~ m1_subset_1(v1, v3)))
% 19.22/4.97 | (173) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u3_cat_1(v2) = v1) | ~ (u3_cat_1(v2) = v0))
% 19.22/4.97 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k13_cat_2(v5, v4, v3, v2) = v1) | ~ (k13_cat_2(v5, v4, v3, v2) = v0))
% 19.22/4.97 | (175) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_cat_2(v2, v0, v1) | ~ v1_xboole_0(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0))
% 19.22/4.97 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(v0, v2) = v3) | ~ (u1_cat_1(v0) = v1) | ~ m1_subset_1(v2, v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | k20_ens_1(v0, v2) = v3)
% 19.22/4.97 | (177) ! [v0] : ! [v1] : ( ~ (k12_ens_1(v0) = v1) | v1_xboole_0(v0) | v1_cat_1(v1))
% 19.22/4.97 | (178) ! [v0] : ! [v1] : ( ~ (u4_cat_1(v0) = v1) | ~ l1_cat_1(v0) | ? [v2] : ? [v3] : (u1_cat_1(v0) = v3 & u2_cat_1(v0) = v2 & m2_relset_1(v1, v2, v3) & v1_funct_2(v1, v2, v3)))
% 19.22/4.97 | (179) v1_funct_1(all_0_3_3)
% 19.22/4.97 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3))
% 19.22/4.97 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u2_cat_1(v1) = v3) | ~ (u2_cat_1(v0) = v2) | ~ m2_cat_1(v4, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | v1_funct_1(v4))
% 19.22/4.97 | (182) ! [v0] : ! [v1] : ! [v2] : ( ~ (k4_tarski(v0, v1) = v2) | ? [v3] : ? [v4] : (k1_tarski(v0) = v4 & k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3))
% 19.22/4.97 |
% 19.22/4.97 | Instantiating formula (100) with all_0_17_17, all_0_18_18 and discharging atoms u2_cat_1(all_0_18_18) = all_0_17_17, l1_cat_1(all_0_18_18), yields:
% 19.22/4.97 | (183) ? [v0] : ? [v1] : (u1_cat_1(all_0_18_18) = v1 & u3_cat_1(all_0_18_18) = v0 & m2_relset_1(v0, all_0_17_17, v1) & v1_funct_2(v0, all_0_17_17, v1) & v1_funct_1(v0))
% 19.22/4.97 |
% 19.22/4.97 | Instantiating formula (49) with all_0_17_17, all_0_18_18 and discharging atoms u2_cat_1(all_0_18_18) = all_0_17_17, l1_cat_1(all_0_18_18), yields:
% 19.22/4.97 | (184) ? [v0] : ? [v1] : (u1_cat_1(all_0_18_18) = v1 & u4_cat_1(all_0_18_18) = v0 & m2_relset_1(v0, all_0_17_17, v1) & v1_funct_2(v0, all_0_17_17, v1) & v1_funct_1(v0))
% 19.22/4.97 |
% 19.22/4.97 | Instantiating formula (77) with all_0_17_17, all_0_18_18 and discharging atoms u2_cat_1(all_0_18_18) = all_0_17_17, l1_cat_1(all_0_18_18), yields:
% 19.22/4.97 | (185) ? [v0] : ? [v1] : (u1_cat_1(all_0_18_18) = v1 & u6_cat_1(all_0_18_18) = v0 & m2_relset_1(v0, v1, all_0_17_17) & v1_funct_2(v0, v1, all_0_17_17) & v1_funct_1(v0))
% 19.22/4.97 |
% 19.22/4.97 | Instantiating formula (6) with all_0_10_10, all_0_13_13, all_0_18_18 and discharging atoms k2_cat_1(all_0_18_18, all_0_13_13) = all_0_10_10, l1_cat_1(all_0_18_18), yields:
% 19.22/4.97 | (186) ? [v0] : ? [v1] : (u1_cat_1(all_0_18_18) = v1 & u2_cat_1(all_0_18_18) = v0 & ( ~ m1_subset_1(all_0_13_13, v0) | m1_subset_1(all_0_10_10, v1)))
% 19.22/4.97 |
% 19.22/4.97 | Instantiating formula (50) with all_0_12_12, all_0_13_13, all_0_18_18 and discharging atoms k3_cat_1(all_0_18_18, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_18_18), yields:
% 19.22/4.97 | (187) ? [v0] : ? [v1] : (u1_cat_1(all_0_18_18) = v1 & u2_cat_1(all_0_18_18) = v0 & ( ~ m1_subset_1(all_0_13_13, v0) | m1_subset_1(all_0_12_12, v1)))
% 19.22/4.97 |
% 19.22/4.97 | Instantiating formula (4) with all_0_17_17, all_0_18_18 and discharging atoms u2_cat_1(all_0_18_18) = all_0_17_17, l1_cat_1(all_0_18_18), v2_cat_1(all_0_18_18), yields:
% 19.22/4.97 | (188) ? [v0] : (k1_yoneda_1(all_0_18_18) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(all_0_18_18, v2) = v3) | ~ (k2_cat_1(all_0_18_18, v1) = v2) | ~ m1_subset_1(v1, all_0_17_17) | ? [v4] : ? [v5] : (k2_yoneda_1(all_0_18_18, v4) = v5 & k3_cat_1(all_0_18_18, v1) = v4 & r2_nattra_1(all_0_18_18, v0, v5, v3))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(all_0_18_18, v2) = v3) | ~ (k3_cat_1(all_0_18_18, v1) = v2) | ~ m1_subset_1(v1, all_0_17_17) | ? [v4] : ? [v5] : (k2_yoneda_1(all_0_18_18, v4) = v5 & k2_cat_1(all_0_18_18, v1) = v4 & r2_nattra_1(all_0_18_18, v0, v3, v5))))
% 19.22/4.97 |
% 19.22/4.97 | Instantiating formula (75) with all_0_9_9, all_0_10_10, all_0_13_13, all_0_18_18 and discharging atoms k2_yoneda_1(all_0_18_18, all_0_10_10) = all_0_9_9, k2_cat_1(all_0_18_18, all_0_13_13) = all_0_10_10, l1_cat_1(all_0_18_18), v2_cat_1(all_0_18_18), yields:
% 19.22/4.97 | (189) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (k3_yoneda_1(all_0_18_18, all_0_13_13) = v1 & k2_yoneda_1(all_0_18_18, v3) = v4 & k1_yoneda_1(all_0_18_18) = v2 & k3_cat_1(all_0_18_18, all_0_13_13) = v3 & u2_cat_1(all_0_18_18) = v0 & ( ~ m1_subset_1(all_0_13_13, v0) | m2_nattra_1(v1, all_0_18_18, v2, v4, all_0_9_9)))
% 19.22/4.97 |
% 19.22/4.97 | Instantiating formula (164) with all_0_9_9, all_0_10_10, all_0_18_18 and discharging atoms k2_yoneda_1(all_0_18_18, all_0_10_10) = all_0_9_9, l1_cat_1(all_0_18_18), v2_cat_1(all_0_18_18), yields:
% 19.22/4.97 | (190) ? [v0] : ? [v1] : (k1_yoneda_1(all_0_18_18) = v1 & u1_cat_1(all_0_18_18) = v0 & ( ~ m1_subset_1(all_0_10_10, v0) | m2_cat_1(all_0_9_9, all_0_18_18, v1)))
% 19.22/4.97 |
% 19.22/4.97 | Instantiating formula (111) with all_0_11_11, all_0_12_12, all_0_13_13, all_0_18_18 and discharging atoms k2_yoneda_1(all_0_18_18, all_0_12_12) = all_0_11_11, k3_cat_1(all_0_18_18, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_18_18), v2_cat_1(all_0_18_18), yields:
% 19.22/4.97 | (191) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (k3_yoneda_1(all_0_18_18, all_0_13_13) = v1 & k2_yoneda_1(all_0_18_18, v3) = v4 & k1_yoneda_1(all_0_18_18) = v2 & k2_cat_1(all_0_18_18, all_0_13_13) = v3 & u2_cat_1(all_0_18_18) = v0 & ( ~ m1_subset_1(all_0_13_13, v0) | m2_nattra_1(v1, all_0_18_18, v2, all_0_11_11, v4)))
% 19.22/4.98 |
% 19.22/4.98 | Instantiating formula (164) with all_0_11_11, all_0_12_12, all_0_18_18 and discharging atoms k2_yoneda_1(all_0_18_18, all_0_12_12) = all_0_11_11, l1_cat_1(all_0_18_18), v2_cat_1(all_0_18_18), yields:
% 19.22/4.98 | (192) ? [v0] : ? [v1] : (k1_yoneda_1(all_0_18_18) = v1 & u1_cat_1(all_0_18_18) = v0 & ( ~ m1_subset_1(all_0_12_12, v0) | m2_cat_1(all_0_11_11, all_0_18_18, v1)))
% 19.22/4.98 |
% 19.22/4.98 | Instantiating formula (72) with all_0_7_7, all_0_13_13, all_0_18_18 and discharging atoms k3_yoneda_1(all_0_18_18, all_0_13_13) = all_0_7_7, l1_cat_1(all_0_18_18), v2_cat_1(all_0_18_18), yields:
% 19.22/4.98 | (193) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (k2_yoneda_1(all_0_18_18, v4) = v5 & k2_yoneda_1(all_0_18_18, v2) = v3 & k1_yoneda_1(all_0_18_18) = v1 & k2_cat_1(all_0_18_18, all_0_13_13) = v4 & k3_cat_1(all_0_18_18, all_0_13_13) = v2 & u2_cat_1(all_0_18_18) = v0 & ( ~ m1_subset_1(all_0_13_13, v0) | m2_nattra_1(all_0_7_7, all_0_18_18, v1, v3, v5)))
% 19.22/4.98 |
% 19.22/4.98 | Instantiating formula (86) with all_0_16_16, all_0_18_18 and discharging atoms k1_yoneda_1(all_0_18_18) = all_0_16_16, l1_cat_1(all_0_18_18), v2_cat_1(all_0_18_18), yields:
% 19.22/4.98 | (194) l1_cat_1(all_0_16_16)
% 19.22/4.98 |
% 19.22/4.98 | Instantiating formula (34) with all_0_16_16, all_0_18_18 and discharging atoms k1_yoneda_1(all_0_18_18) = all_0_16_16, l1_cat_1(all_0_18_18), v2_cat_1(all_0_18_18), yields:
% 19.22/4.98 | (195) v2_cat_1(all_0_16_16)
% 19.22/4.98 |
% 19.22/4.98 | Instantiating formula (170) with all_0_16_16, all_0_18_18 and discharging atoms k1_yoneda_1(all_0_18_18) = all_0_16_16, l1_cat_1(all_0_18_18), v2_cat_1(all_0_18_18), yields:
% 19.22/4.98 | (196) ? [v0] : (u2_cat_1(all_0_18_18) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(all_0_18_18, v2) = v3) | ~ (k2_cat_1(all_0_18_18, v1) = v2) | ~ m1_subset_1(v1, v0) | ? [v4] : ? [v5] : (k2_yoneda_1(all_0_18_18, v4) = v5 & k3_cat_1(all_0_18_18, v1) = v4 & r2_nattra_1(all_0_18_18, all_0_16_16, v5, v3))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_yoneda_1(all_0_18_18, v2) = v3) | ~ (k3_cat_1(all_0_18_18, v1) = v2) | ~ m1_subset_1(v1, v0) | ? [v4] : ? [v5] : (k2_yoneda_1(all_0_18_18, v4) = v5 & k2_cat_1(all_0_18_18, v1) = v4 & r2_nattra_1(all_0_18_18, all_0_16_16, v3, v5))))
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (190) with all_23_0_29, all_23_1_30 yields:
% 19.22/4.98 | (197) k1_yoneda_1(all_0_18_18) = all_23_0_29 & u1_cat_1(all_0_18_18) = all_23_1_30 & ( ~ m1_subset_1(all_0_10_10, all_23_1_30) | m2_cat_1(all_0_9_9, all_0_18_18, all_23_0_29))
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (197) yields:
% 19.22/4.98 | (198) k1_yoneda_1(all_0_18_18) = all_23_0_29
% 19.22/4.98 | (199) u1_cat_1(all_0_18_18) = all_23_1_30
% 19.22/4.98 | (200) ~ m1_subset_1(all_0_10_10, all_23_1_30) | m2_cat_1(all_0_9_9, all_0_18_18, all_23_0_29)
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (189) with all_25_0_31, all_25_1_32, all_25_2_33, all_25_3_34, all_25_4_35 yields:
% 19.22/4.98 | (201) k3_yoneda_1(all_0_18_18, all_0_13_13) = all_25_3_34 & k2_yoneda_1(all_0_18_18, all_25_1_32) = all_25_0_31 & k1_yoneda_1(all_0_18_18) = all_25_2_33 & k3_cat_1(all_0_18_18, all_0_13_13) = all_25_1_32 & u2_cat_1(all_0_18_18) = all_25_4_35 & ( ~ m1_subset_1(all_0_13_13, all_25_4_35) | m2_nattra_1(all_25_3_34, all_0_18_18, all_25_2_33, all_25_0_31, all_0_9_9))
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (201) yields:
% 19.22/4.98 | (202) k1_yoneda_1(all_0_18_18) = all_25_2_33
% 19.22/4.98 | (203) k3_cat_1(all_0_18_18, all_0_13_13) = all_25_1_32
% 19.22/4.98 | (204) ~ m1_subset_1(all_0_13_13, all_25_4_35) | m2_nattra_1(all_25_3_34, all_0_18_18, all_25_2_33, all_25_0_31, all_0_9_9)
% 19.22/4.98 | (205) k3_yoneda_1(all_0_18_18, all_0_13_13) = all_25_3_34
% 19.22/4.98 | (206) u2_cat_1(all_0_18_18) = all_25_4_35
% 19.22/4.98 | (207) k2_yoneda_1(all_0_18_18, all_25_1_32) = all_25_0_31
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (193) with all_33_0_39, all_33_1_40, all_33_2_41, all_33_3_42, all_33_4_43, all_33_5_44 yields:
% 19.22/4.98 | (208) k2_yoneda_1(all_0_18_18, all_33_1_40) = all_33_0_39 & k2_yoneda_1(all_0_18_18, all_33_3_42) = all_33_2_41 & k1_yoneda_1(all_0_18_18) = all_33_4_43 & k2_cat_1(all_0_18_18, all_0_13_13) = all_33_1_40 & k3_cat_1(all_0_18_18, all_0_13_13) = all_33_3_42 & u2_cat_1(all_0_18_18) = all_33_5_44 & ( ~ m1_subset_1(all_0_13_13, all_33_5_44) | m2_nattra_1(all_0_7_7, all_0_18_18, all_33_4_43, all_33_2_41, all_33_0_39))
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (208) yields:
% 19.22/4.98 | (209) k2_yoneda_1(all_0_18_18, all_33_3_42) = all_33_2_41
% 19.22/4.98 | (210) k3_cat_1(all_0_18_18, all_0_13_13) = all_33_3_42
% 19.22/4.98 | (211) u2_cat_1(all_0_18_18) = all_33_5_44
% 19.22/4.98 | (212) k1_yoneda_1(all_0_18_18) = all_33_4_43
% 19.22/4.98 | (213) k2_yoneda_1(all_0_18_18, all_33_1_40) = all_33_0_39
% 19.22/4.98 | (214) ~ m1_subset_1(all_0_13_13, all_33_5_44) | m2_nattra_1(all_0_7_7, all_0_18_18, all_33_4_43, all_33_2_41, all_33_0_39)
% 19.22/4.98 | (215) k2_cat_1(all_0_18_18, all_0_13_13) = all_33_1_40
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (196) with all_35_0_45 yields:
% 19.22/4.98 | (216) u2_cat_1(all_0_18_18) = all_35_0_45 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(all_0_18_18, v1) = v2) | ~ (k2_cat_1(all_0_18_18, v0) = v1) | ~ m1_subset_1(v0, all_35_0_45) | ? [v3] : ? [v4] : (k2_yoneda_1(all_0_18_18, v3) = v4 & k3_cat_1(all_0_18_18, v0) = v3 & r2_nattra_1(all_0_18_18, all_0_16_16, v4, v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(all_0_18_18, v1) = v2) | ~ (k3_cat_1(all_0_18_18, v0) = v1) | ~ m1_subset_1(v0, all_35_0_45) | ? [v3] : ? [v4] : (k2_yoneda_1(all_0_18_18, v3) = v4 & k2_cat_1(all_0_18_18, v0) = v3 & r2_nattra_1(all_0_18_18, all_0_16_16, v2, v4)))
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (216) yields:
% 19.22/4.98 | (217) u2_cat_1(all_0_18_18) = all_35_0_45
% 19.22/4.98 | (218) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(all_0_18_18, v1) = v2) | ~ (k2_cat_1(all_0_18_18, v0) = v1) | ~ m1_subset_1(v0, all_35_0_45) | ? [v3] : ? [v4] : (k2_yoneda_1(all_0_18_18, v3) = v4 & k3_cat_1(all_0_18_18, v0) = v3 & r2_nattra_1(all_0_18_18, all_0_16_16, v4, v2)))
% 19.22/4.98 | (219) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(all_0_18_18, v1) = v2) | ~ (k3_cat_1(all_0_18_18, v0) = v1) | ~ m1_subset_1(v0, all_35_0_45) | ? [v3] : ? [v4] : (k2_yoneda_1(all_0_18_18, v3) = v4 & k2_cat_1(all_0_18_18, v0) = v3 & r2_nattra_1(all_0_18_18, all_0_16_16, v2, v4)))
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (186) with all_40_0_47, all_40_1_48 yields:
% 19.22/4.98 | (220) u1_cat_1(all_0_18_18) = all_40_0_47 & u2_cat_1(all_0_18_18) = all_40_1_48 & ( ~ m1_subset_1(all_0_13_13, all_40_1_48) | m1_subset_1(all_0_10_10, all_40_0_47))
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (220) yields:
% 19.22/4.98 | (221) u1_cat_1(all_0_18_18) = all_40_0_47
% 19.22/4.98 | (222) u2_cat_1(all_0_18_18) = all_40_1_48
% 19.22/4.98 | (223) ~ m1_subset_1(all_0_13_13, all_40_1_48) | m1_subset_1(all_0_10_10, all_40_0_47)
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (184) with all_42_0_49, all_42_1_50 yields:
% 19.22/4.98 | (224) u1_cat_1(all_0_18_18) = all_42_0_49 & u4_cat_1(all_0_18_18) = all_42_1_50 & m2_relset_1(all_42_1_50, all_0_17_17, all_42_0_49) & v1_funct_2(all_42_1_50, all_0_17_17, all_42_0_49) & v1_funct_1(all_42_1_50)
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (224) yields:
% 19.22/4.98 | (225) v1_funct_1(all_42_1_50)
% 19.22/4.98 | (226) u4_cat_1(all_0_18_18) = all_42_1_50
% 19.22/4.98 | (227) m2_relset_1(all_42_1_50, all_0_17_17, all_42_0_49)
% 19.22/4.98 | (228) v1_funct_2(all_42_1_50, all_0_17_17, all_42_0_49)
% 19.22/4.98 | (229) u1_cat_1(all_0_18_18) = all_42_0_49
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (183) with all_44_0_51, all_44_1_52 yields:
% 19.22/4.98 | (230) u1_cat_1(all_0_18_18) = all_44_0_51 & u3_cat_1(all_0_18_18) = all_44_1_52 & m2_relset_1(all_44_1_52, all_0_17_17, all_44_0_51) & v1_funct_2(all_44_1_52, all_0_17_17, all_44_0_51) & v1_funct_1(all_44_1_52)
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (230) yields:
% 19.22/4.98 | (231) u1_cat_1(all_0_18_18) = all_44_0_51
% 19.22/4.98 | (232) m2_relset_1(all_44_1_52, all_0_17_17, all_44_0_51)
% 19.22/4.98 | (233) u3_cat_1(all_0_18_18) = all_44_1_52
% 19.22/4.98 | (234) v1_funct_1(all_44_1_52)
% 19.22/4.98 | (235) v1_funct_2(all_44_1_52, all_0_17_17, all_44_0_51)
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (185) with all_46_0_53, all_46_1_54 yields:
% 19.22/4.98 | (236) u1_cat_1(all_0_18_18) = all_46_0_53 & u6_cat_1(all_0_18_18) = all_46_1_54 & m2_relset_1(all_46_1_54, all_46_0_53, all_0_17_17) & v1_funct_2(all_46_1_54, all_46_0_53, all_0_17_17) & v1_funct_1(all_46_1_54)
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (236) yields:
% 19.22/4.98 | (237) u6_cat_1(all_0_18_18) = all_46_1_54
% 19.22/4.98 | (238) v1_funct_1(all_46_1_54)
% 19.22/4.98 | (239) v1_funct_2(all_46_1_54, all_46_0_53, all_0_17_17)
% 19.22/4.98 | (240) m2_relset_1(all_46_1_54, all_46_0_53, all_0_17_17)
% 19.22/4.98 | (241) u1_cat_1(all_0_18_18) = all_46_0_53
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (188) with all_48_0_55 yields:
% 19.22/4.98 | (242) k1_yoneda_1(all_0_18_18) = all_48_0_55 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(all_0_18_18, v1) = v2) | ~ (k2_cat_1(all_0_18_18, v0) = v1) | ~ m1_subset_1(v0, all_0_17_17) | ? [v3] : ? [v4] : (k2_yoneda_1(all_0_18_18, v3) = v4 & k3_cat_1(all_0_18_18, v0) = v3 & r2_nattra_1(all_0_18_18, all_48_0_55, v4, v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(all_0_18_18, v1) = v2) | ~ (k3_cat_1(all_0_18_18, v0) = v1) | ~ m1_subset_1(v0, all_0_17_17) | ? [v3] : ? [v4] : (k2_yoneda_1(all_0_18_18, v3) = v4 & k2_cat_1(all_0_18_18, v0) = v3 & r2_nattra_1(all_0_18_18, all_48_0_55, v2, v4)))
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (242) yields:
% 19.22/4.98 | (243) k1_yoneda_1(all_0_18_18) = all_48_0_55
% 19.22/4.98 | (244) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(all_0_18_18, v1) = v2) | ~ (k2_cat_1(all_0_18_18, v0) = v1) | ~ m1_subset_1(v0, all_0_17_17) | ? [v3] : ? [v4] : (k2_yoneda_1(all_0_18_18, v3) = v4 & k3_cat_1(all_0_18_18, v0) = v3 & r2_nattra_1(all_0_18_18, all_48_0_55, v4, v2)))
% 19.22/4.98 | (245) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_yoneda_1(all_0_18_18, v1) = v2) | ~ (k3_cat_1(all_0_18_18, v0) = v1) | ~ m1_subset_1(v0, all_0_17_17) | ? [v3] : ? [v4] : (k2_yoneda_1(all_0_18_18, v3) = v4 & k2_cat_1(all_0_18_18, v0) = v3 & r2_nattra_1(all_0_18_18, all_48_0_55, v2, v4)))
% 19.22/4.98 |
% 19.22/4.98 | Instantiating formula (245) with all_0_11_11, all_0_12_12, all_0_13_13 and discharging atoms k2_yoneda_1(all_0_18_18, all_0_12_12) = all_0_11_11, k3_cat_1(all_0_18_18, all_0_13_13) = all_0_12_12, m1_subset_1(all_0_13_13, all_0_17_17), yields:
% 19.22/4.98 | (246) ? [v0] : ? [v1] : (k2_yoneda_1(all_0_18_18, v0) = v1 & k2_cat_1(all_0_18_18, all_0_13_13) = v0 & r2_nattra_1(all_0_18_18, all_48_0_55, all_0_11_11, v1))
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (187) with all_53_0_58, all_53_1_59 yields:
% 19.22/4.98 | (247) u1_cat_1(all_0_18_18) = all_53_0_58 & u2_cat_1(all_0_18_18) = all_53_1_59 & ( ~ m1_subset_1(all_0_13_13, all_53_1_59) | m1_subset_1(all_0_12_12, all_53_0_58))
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (247) yields:
% 19.22/4.98 | (248) u1_cat_1(all_0_18_18) = all_53_0_58
% 19.22/4.98 | (249) u2_cat_1(all_0_18_18) = all_53_1_59
% 19.22/4.98 | (250) ~ m1_subset_1(all_0_13_13, all_53_1_59) | m1_subset_1(all_0_12_12, all_53_0_58)
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (192) with all_55_0_60, all_55_1_61 yields:
% 19.22/4.98 | (251) k1_yoneda_1(all_0_18_18) = all_55_0_60 & u1_cat_1(all_0_18_18) = all_55_1_61 & ( ~ m1_subset_1(all_0_12_12, all_55_1_61) | m2_cat_1(all_0_11_11, all_0_18_18, all_55_0_60))
% 19.22/4.98 |
% 19.22/4.98 | Applying alpha-rule on (251) yields:
% 19.22/4.98 | (252) k1_yoneda_1(all_0_18_18) = all_55_0_60
% 19.22/4.98 | (253) u1_cat_1(all_0_18_18) = all_55_1_61
% 19.22/4.98 | (254) ~ m1_subset_1(all_0_12_12, all_55_1_61) | m2_cat_1(all_0_11_11, all_0_18_18, all_55_0_60)
% 19.22/4.98 |
% 19.22/4.98 | Instantiating (191) with all_57_0_62, all_57_1_63, all_57_2_64, all_57_3_65, all_57_4_66 yields:
% 19.22/4.98 | (255) k3_yoneda_1(all_0_18_18, all_0_13_13) = all_57_3_65 & k2_yoneda_1(all_0_18_18, all_57_1_63) = all_57_0_62 & k1_yoneda_1(all_0_18_18) = all_57_2_64 & k2_cat_1(all_0_18_18, all_0_13_13) = all_57_1_63 & u2_cat_1(all_0_18_18) = all_57_4_66 & ( ~ m1_subset_1(all_0_13_13, all_57_4_66) | m2_nattra_1(all_57_3_65, all_0_18_18, all_57_2_64, all_0_11_11, all_57_0_62))
% 19.22/4.99 |
% 19.22/4.99 | Applying alpha-rule on (255) yields:
% 19.22/4.99 | (256) k3_yoneda_1(all_0_18_18, all_0_13_13) = all_57_3_65
% 19.22/4.99 | (257) k1_yoneda_1(all_0_18_18) = all_57_2_64
% 19.22/4.99 | (258) u2_cat_1(all_0_18_18) = all_57_4_66
% 19.22/4.99 | (259) k2_yoneda_1(all_0_18_18, all_57_1_63) = all_57_0_62
% 19.22/4.99 | (260) ~ m1_subset_1(all_0_13_13, all_57_4_66) | m2_nattra_1(all_57_3_65, all_0_18_18, all_57_2_64, all_0_11_11, all_57_0_62)
% 19.22/4.99 | (261) k2_cat_1(all_0_18_18, all_0_13_13) = all_57_1_63
% 19.22/4.99 |
% 19.22/4.99 | Instantiating (246) with all_63_0_71, all_63_1_72 yields:
% 19.22/4.99 | (262) k2_yoneda_1(all_0_18_18, all_63_1_72) = all_63_0_71 & k2_cat_1(all_0_18_18, all_0_13_13) = all_63_1_72 & r2_nattra_1(all_0_18_18, all_48_0_55, all_0_11_11, all_63_0_71)
% 19.22/4.99 |
% 19.22/4.99 | Applying alpha-rule on (262) yields:
% 19.22/4.99 | (263) k2_yoneda_1(all_0_18_18, all_63_1_72) = all_63_0_71
% 19.22/4.99 | (264) k2_cat_1(all_0_18_18, all_0_13_13) = all_63_1_72
% 19.22/4.99 | (265) r2_nattra_1(all_0_18_18, all_48_0_55, all_0_11_11, all_63_0_71)
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (151) with all_0_18_18, all_0_13_13, all_57_3_65, all_0_7_7 and discharging atoms k3_yoneda_1(all_0_18_18, all_0_13_13) = all_57_3_65, k3_yoneda_1(all_0_18_18, all_0_13_13) = all_0_7_7, yields:
% 19.22/4.99 | (266) all_57_3_65 = all_0_7_7
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (151) with all_0_18_18, all_0_13_13, all_25_3_34, all_57_3_65 and discharging atoms k3_yoneda_1(all_0_18_18, all_0_13_13) = all_57_3_65, k3_yoneda_1(all_0_18_18, all_0_13_13) = all_25_3_34, yields:
% 19.22/4.99 | (267) all_57_3_65 = all_25_3_34
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (134) with all_0_18_18, all_55_0_60, all_57_2_64 and discharging atoms k1_yoneda_1(all_0_18_18) = all_57_2_64, k1_yoneda_1(all_0_18_18) = all_55_0_60, yields:
% 19.22/4.99 | (268) all_57_2_64 = all_55_0_60
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (134) with all_0_18_18, all_48_0_55, all_57_2_64 and discharging atoms k1_yoneda_1(all_0_18_18) = all_57_2_64, k1_yoneda_1(all_0_18_18) = all_48_0_55, yields:
% 19.22/4.99 | (269) all_57_2_64 = all_48_0_55
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (134) with all_0_18_18, all_33_4_43, all_48_0_55 and discharging atoms k1_yoneda_1(all_0_18_18) = all_48_0_55, k1_yoneda_1(all_0_18_18) = all_33_4_43, yields:
% 19.22/4.99 | (270) all_48_0_55 = all_33_4_43
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (134) with all_0_18_18, all_25_2_33, all_0_16_16 and discharging atoms k1_yoneda_1(all_0_18_18) = all_25_2_33, k1_yoneda_1(all_0_18_18) = all_0_16_16, yields:
% 19.22/4.99 | (271) all_25_2_33 = all_0_16_16
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (134) with all_0_18_18, all_25_2_33, all_33_4_43 and discharging atoms k1_yoneda_1(all_0_18_18) = all_33_4_43, k1_yoneda_1(all_0_18_18) = all_25_2_33, yields:
% 19.22/4.99 | (272) all_33_4_43 = all_25_2_33
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (134) with all_0_18_18, all_23_0_29, all_57_2_64 and discharging atoms k1_yoneda_1(all_0_18_18) = all_57_2_64, k1_yoneda_1(all_0_18_18) = all_23_0_29, yields:
% 19.22/4.99 | (273) all_57_2_64 = all_23_0_29
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (116) with all_0_18_18, all_0_13_13, all_63_1_72, all_0_10_10 and discharging atoms k2_cat_1(all_0_18_18, all_0_13_13) = all_63_1_72, k2_cat_1(all_0_18_18, all_0_13_13) = all_0_10_10, yields:
% 19.22/4.99 | (274) all_63_1_72 = all_0_10_10
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (116) with all_0_18_18, all_0_13_13, all_57_1_63, all_63_1_72 and discharging atoms k2_cat_1(all_0_18_18, all_0_13_13) = all_63_1_72, k2_cat_1(all_0_18_18, all_0_13_13) = all_57_1_63, yields:
% 19.22/4.99 | (275) all_63_1_72 = all_57_1_63
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (116) with all_0_18_18, all_0_13_13, all_33_1_40, all_57_1_63 and discharging atoms k2_cat_1(all_0_18_18, all_0_13_13) = all_57_1_63, k2_cat_1(all_0_18_18, all_0_13_13) = all_33_1_40, yields:
% 19.22/4.99 | (276) all_57_1_63 = all_33_1_40
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (32) with all_0_18_18, all_53_0_58, all_55_1_61 and discharging atoms u1_cat_1(all_0_18_18) = all_55_1_61, u1_cat_1(all_0_18_18) = all_53_0_58, yields:
% 19.22/4.99 | (277) all_55_1_61 = all_53_0_58
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (32) with all_0_18_18, all_46_0_53, all_53_0_58 and discharging atoms u1_cat_1(all_0_18_18) = all_53_0_58, u1_cat_1(all_0_18_18) = all_46_0_53, yields:
% 19.22/4.99 | (278) all_53_0_58 = all_46_0_53
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (32) with all_0_18_18, all_44_0_51, all_55_1_61 and discharging atoms u1_cat_1(all_0_18_18) = all_55_1_61, u1_cat_1(all_0_18_18) = all_44_0_51, yields:
% 19.22/4.99 | (279) all_55_1_61 = all_44_0_51
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (32) with all_0_18_18, all_42_0_49, all_53_0_58 and discharging atoms u1_cat_1(all_0_18_18) = all_53_0_58, u1_cat_1(all_0_18_18) = all_42_0_49, yields:
% 19.22/4.99 | (280) all_53_0_58 = all_42_0_49
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (32) with all_0_18_18, all_40_0_47, all_55_1_61 and discharging atoms u1_cat_1(all_0_18_18) = all_55_1_61, u1_cat_1(all_0_18_18) = all_40_0_47, yields:
% 19.22/4.99 | (281) all_55_1_61 = all_40_0_47
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (32) with all_0_18_18, all_23_1_30, all_55_1_61 and discharging atoms u1_cat_1(all_0_18_18) = all_55_1_61, u1_cat_1(all_0_18_18) = all_23_1_30, yields:
% 19.22/4.99 | (282) all_55_1_61 = all_23_1_30
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (52) with all_0_18_18, all_53_1_59, all_57_4_66 and discharging atoms u2_cat_1(all_0_18_18) = all_57_4_66, u2_cat_1(all_0_18_18) = all_53_1_59, yields:
% 19.22/4.99 | (283) all_57_4_66 = all_53_1_59
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (52) with all_0_18_18, all_40_1_48, all_0_17_17 and discharging atoms u2_cat_1(all_0_18_18) = all_40_1_48, u2_cat_1(all_0_18_18) = all_0_17_17, yields:
% 19.22/4.99 | (284) all_40_1_48 = all_0_17_17
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (52) with all_0_18_18, all_40_1_48, all_53_1_59 and discharging atoms u2_cat_1(all_0_18_18) = all_53_1_59, u2_cat_1(all_0_18_18) = all_40_1_48, yields:
% 19.22/4.99 | (285) all_53_1_59 = all_40_1_48
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (52) with all_0_18_18, all_35_0_45, all_57_4_66 and discharging atoms u2_cat_1(all_0_18_18) = all_57_4_66, u2_cat_1(all_0_18_18) = all_35_0_45, yields:
% 19.22/4.99 | (286) all_57_4_66 = all_35_0_45
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (52) with all_0_18_18, all_33_5_44, all_53_1_59 and discharging atoms u2_cat_1(all_0_18_18) = all_53_1_59, u2_cat_1(all_0_18_18) = all_33_5_44, yields:
% 19.22/4.99 | (287) all_53_1_59 = all_33_5_44
% 19.22/4.99 |
% 19.22/4.99 | Instantiating formula (52) with all_0_18_18, all_25_4_35, all_33_5_44 and discharging atoms u2_cat_1(all_0_18_18) = all_33_5_44, u2_cat_1(all_0_18_18) = all_25_4_35, yields:
% 19.22/4.99 | (288) all_33_5_44 = all_25_4_35
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (275,274) yields a new equation:
% 19.22/4.99 | (289) all_57_1_63 = all_0_10_10
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 289 yields:
% 19.22/4.99 | (290) all_57_1_63 = all_0_10_10
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (276,290) yields a new equation:
% 19.22/4.99 | (291) all_33_1_40 = all_0_10_10
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 291 yields:
% 19.22/4.99 | (292) all_33_1_40 = all_0_10_10
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (273,268) yields a new equation:
% 19.22/4.99 | (293) all_55_0_60 = all_23_0_29
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (269,268) yields a new equation:
% 19.22/4.99 | (294) all_55_0_60 = all_48_0_55
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (266,267) yields a new equation:
% 19.22/4.99 | (295) all_25_3_34 = all_0_7_7
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (283,286) yields a new equation:
% 19.22/4.99 | (296) all_53_1_59 = all_35_0_45
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 296 yields:
% 19.22/4.99 | (297) all_53_1_59 = all_35_0_45
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (294,293) yields a new equation:
% 19.22/4.99 | (298) all_48_0_55 = all_23_0_29
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 298 yields:
% 19.22/4.99 | (299) all_48_0_55 = all_23_0_29
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (281,279) yields a new equation:
% 19.22/4.99 | (300) all_44_0_51 = all_40_0_47
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (277,279) yields a new equation:
% 19.22/4.99 | (301) all_53_0_58 = all_44_0_51
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 301 yields:
% 19.22/4.99 | (302) all_53_0_58 = all_44_0_51
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (282,279) yields a new equation:
% 19.22/4.99 | (303) all_44_0_51 = all_23_1_30
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (280,278) yields a new equation:
% 19.22/4.99 | (304) all_46_0_53 = all_42_0_49
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (302,278) yields a new equation:
% 19.22/4.99 | (305) all_46_0_53 = all_44_0_51
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (285,297) yields a new equation:
% 19.22/4.99 | (306) all_40_1_48 = all_35_0_45
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 306 yields:
% 19.22/4.99 | (307) all_40_1_48 = all_35_0_45
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (287,297) yields a new equation:
% 19.22/4.99 | (308) all_35_0_45 = all_33_5_44
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (270,299) yields a new equation:
% 19.22/4.99 | (309) all_33_4_43 = all_23_0_29
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 309 yields:
% 19.22/4.99 | (310) all_33_4_43 = all_23_0_29
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (305,304) yields a new equation:
% 19.22/4.99 | (311) all_44_0_51 = all_42_0_49
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 311 yields:
% 19.22/4.99 | (312) all_44_0_51 = all_42_0_49
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (300,312) yields a new equation:
% 19.22/4.99 | (313) all_42_0_49 = all_40_0_47
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (303,312) yields a new equation:
% 19.22/4.99 | (314) all_42_0_49 = all_23_1_30
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (314,313) yields a new equation:
% 19.22/4.99 | (315) all_40_0_47 = all_23_1_30
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (307,284) yields a new equation:
% 19.22/4.99 | (316) all_35_0_45 = all_0_17_17
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 316 yields:
% 19.22/4.99 | (317) all_35_0_45 = all_0_17_17
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (308,317) yields a new equation:
% 19.22/4.99 | (318) all_33_5_44 = all_0_17_17
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 318 yields:
% 19.22/4.99 | (319) all_33_5_44 = all_0_17_17
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (272,310) yields a new equation:
% 19.22/4.99 | (320) all_25_2_33 = all_23_0_29
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 320 yields:
% 19.22/4.99 | (321) all_25_2_33 = all_23_0_29
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (288,319) yields a new equation:
% 19.22/4.99 | (322) all_25_4_35 = all_0_17_17
% 19.22/4.99 |
% 19.22/4.99 | Simplifying 322 yields:
% 19.22/4.99 | (323) all_25_4_35 = all_0_17_17
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (271,321) yields a new equation:
% 19.22/4.99 | (324) all_23_0_29 = all_0_16_16
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (315,313) yields a new equation:
% 19.22/4.99 | (314) all_42_0_49 = all_23_1_30
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (314,312) yields a new equation:
% 19.22/4.99 | (303) all_44_0_51 = all_23_1_30
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (314,304) yields a new equation:
% 19.22/4.99 | (327) all_46_0_53 = all_23_1_30
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (324,299) yields a new equation:
% 19.22/4.99 | (328) all_48_0_55 = all_0_16_16
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (317,297) yields a new equation:
% 19.22/4.99 | (329) all_53_1_59 = all_0_17_17
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (327,278) yields a new equation:
% 19.22/4.99 | (330) all_53_0_58 = all_23_1_30
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (303,279) yields a new equation:
% 19.22/4.99 | (282) all_55_1_61 = all_23_1_30
% 19.22/4.99 |
% 19.22/4.99 | Combining equations (324,293) yields a new equation:
% 19.22/4.99 | (332) all_55_0_60 = all_0_16_16
% 19.22/5.00 |
% 19.22/5.00 | Combining equations (317,286) yields a new equation:
% 19.22/5.00 | (333) all_57_4_66 = all_0_17_17
% 19.22/5.00 |
% 19.22/5.00 | Combining equations (295,267) yields a new equation:
% 19.22/5.00 | (266) all_57_3_65 = all_0_7_7
% 19.22/5.00 |
% 19.22/5.00 | Combining equations (332,268) yields a new equation:
% 19.22/5.00 | (335) all_57_2_64 = all_0_16_16
% 19.22/5.00 |
% 19.22/5.00 | From (274) and (263) follows:
% 19.22/5.00 | (336) k2_yoneda_1(all_0_18_18, all_0_10_10) = all_63_0_71
% 19.22/5.00 |
% 19.22/5.00 | From (290) and (259) follows:
% 19.22/5.00 | (337) k2_yoneda_1(all_0_18_18, all_0_10_10) = all_57_0_62
% 19.22/5.00 |
% 19.22/5.00 | From (292) and (213) follows:
% 19.22/5.00 | (338) k2_yoneda_1(all_0_18_18, all_0_10_10) = all_33_0_39
% 19.22/5.00 |
% 19.22/5.00 | From (328) and (265) follows:
% 19.22/5.00 | (339) r2_nattra_1(all_0_18_18, all_0_16_16, all_0_11_11, all_63_0_71)
% 19.22/5.00 |
% 19.22/5.00 +-Applying beta-rule and splitting (204), into two cases.
% 19.22/5.00 |-Branch one:
% 19.22/5.00 | (340) ~ m1_subset_1(all_0_13_13, all_25_4_35)
% 19.22/5.00 |
% 19.22/5.00 | From (323) and (340) follows:
% 19.22/5.00 | (341) ~ m1_subset_1(all_0_13_13, all_0_17_17)
% 19.22/5.00 |
% 19.22/5.00 | Using (121) and (341) yields:
% 19.22/5.00 | (342) $false
% 19.22/5.00 |
% 19.22/5.00 |-The branch is then unsatisfiable
% 19.22/5.00 |-Branch two:
% 19.22/5.00 | (343) m1_subset_1(all_0_13_13, all_25_4_35)
% 19.22/5.00 | (344) m2_nattra_1(all_25_3_34, all_0_18_18, all_25_2_33, all_25_0_31, all_0_9_9)
% 19.22/5.00 |
% 19.22/5.00 | From (323) and (343) follows:
% 19.22/5.00 | (121) m1_subset_1(all_0_13_13, all_0_17_17)
% 19.22/5.00 |
% 19.22/5.00 +-Applying beta-rule and splitting (223), into two cases.
% 19.22/5.00 |-Branch one:
% 19.22/5.00 | (346) ~ m1_subset_1(all_0_13_13, all_40_1_48)
% 19.22/5.00 |
% 19.22/5.00 | From (284) and (346) follows:
% 19.22/5.00 | (341) ~ m1_subset_1(all_0_13_13, all_0_17_17)
% 19.22/5.00 |
% 19.22/5.00 | Using (121) and (341) yields:
% 19.22/5.00 | (342) $false
% 19.22/5.00 |
% 19.22/5.00 |-The branch is then unsatisfiable
% 19.22/5.00 |-Branch two:
% 19.22/5.00 | (349) m1_subset_1(all_0_13_13, all_40_1_48)
% 19.22/5.00 | (350) m1_subset_1(all_0_10_10, all_40_0_47)
% 19.22/5.00 |
% 19.22/5.00 | From (315) and (350) follows:
% 19.22/5.00 | (351) m1_subset_1(all_0_10_10, all_23_1_30)
% 19.22/5.00 |
% 19.22/5.00 | From (284) and (349) follows:
% 19.22/5.00 | (121) m1_subset_1(all_0_13_13, all_0_17_17)
% 19.22/5.00 |
% 19.22/5.00 +-Applying beta-rule and splitting (200), into two cases.
% 19.22/5.00 |-Branch one:
% 19.22/5.00 | (353) ~ m1_subset_1(all_0_10_10, all_23_1_30)
% 19.22/5.00 |
% 19.22/5.00 | Using (351) and (353) yields:
% 19.22/5.00 | (342) $false
% 19.22/5.00 |
% 19.22/5.00 |-The branch is then unsatisfiable
% 19.22/5.00 |-Branch two:
% 19.22/5.00 | (351) m1_subset_1(all_0_10_10, all_23_1_30)
% 19.22/5.00 | (356) m2_cat_1(all_0_9_9, all_0_18_18, all_23_0_29)
% 19.22/5.00 |
% 19.22/5.00 | From (324) and (356) follows:
% 19.22/5.00 | (357) m2_cat_1(all_0_9_9, all_0_18_18, all_0_16_16)
% 19.22/5.00 |
% 19.22/5.00 +-Applying beta-rule and splitting (250), into two cases.
% 19.22/5.00 |-Branch one:
% 19.22/5.00 | (358) ~ m1_subset_1(all_0_13_13, all_53_1_59)
% 19.22/5.00 |
% 19.22/5.00 | From (329) and (358) follows:
% 19.22/5.00 | (341) ~ m1_subset_1(all_0_13_13, all_0_17_17)
% 19.22/5.00 |
% 19.22/5.00 | Using (121) and (341) yields:
% 19.22/5.00 | (342) $false
% 19.22/5.00 |
% 19.22/5.00 |-The branch is then unsatisfiable
% 19.22/5.00 |-Branch two:
% 19.22/5.00 | (361) m1_subset_1(all_0_13_13, all_53_1_59)
% 19.22/5.00 | (362) m1_subset_1(all_0_12_12, all_53_0_58)
% 19.22/5.00 |
% 19.22/5.00 | From (330) and (362) follows:
% 19.22/5.00 | (363) m1_subset_1(all_0_12_12, all_23_1_30)
% 19.22/5.00 |
% 19.22/5.00 | From (329) and (361) follows:
% 19.22/5.00 | (121) m1_subset_1(all_0_13_13, all_0_17_17)
% 19.22/5.00 |
% 19.22/5.00 +-Applying beta-rule and splitting (254), into two cases.
% 19.22/5.00 |-Branch one:
% 19.22/5.00 | (365) ~ m1_subset_1(all_0_12_12, all_55_1_61)
% 19.22/5.00 |
% 19.22/5.00 | From (282) and (365) follows:
% 19.22/5.00 | (366) ~ m1_subset_1(all_0_12_12, all_23_1_30)
% 19.22/5.00 |
% 19.22/5.00 | Using (363) and (366) yields:
% 19.22/5.00 | (342) $false
% 19.22/5.00 |
% 19.22/5.00 |-The branch is then unsatisfiable
% 19.22/5.00 |-Branch two:
% 19.22/5.00 | (368) m1_subset_1(all_0_12_12, all_55_1_61)
% 19.22/5.00 | (369) m2_cat_1(all_0_11_11, all_0_18_18, all_55_0_60)
% 19.22/5.00 |
% 19.22/5.00 | From (332) and (369) follows:
% 19.22/5.00 | (370) m2_cat_1(all_0_11_11, all_0_18_18, all_0_16_16)
% 19.22/5.00 |
% 19.22/5.00 +-Applying beta-rule and splitting (214), into two cases.
% 19.22/5.00 |-Branch one:
% 19.22/5.00 | (371) ~ m1_subset_1(all_0_13_13, all_33_5_44)
% 19.22/5.00 |
% 19.22/5.00 | From (319) and (371) follows:
% 19.22/5.00 | (341) ~ m1_subset_1(all_0_13_13, all_0_17_17)
% 19.22/5.00 |
% 19.22/5.00 | Using (121) and (341) yields:
% 19.22/5.00 | (342) $false
% 19.22/5.00 |
% 19.22/5.00 |-The branch is then unsatisfiable
% 19.22/5.00 |-Branch two:
% 19.22/5.00 | (374) m1_subset_1(all_0_13_13, all_33_5_44)
% 19.22/5.00 | (375) m2_nattra_1(all_0_7_7, all_0_18_18, all_33_4_43, all_33_2_41, all_33_0_39)
% 19.22/5.00 |
% 19.22/5.00 | From (319) and (374) follows:
% 19.22/5.00 | (121) m1_subset_1(all_0_13_13, all_0_17_17)
% 19.22/5.00 |
% 19.22/5.00 +-Applying beta-rule and splitting (260), into two cases.
% 19.22/5.00 |-Branch one:
% 19.22/5.00 | (377) ~ m1_subset_1(all_0_13_13, all_57_4_66)
% 19.22/5.00 |
% 19.22/5.00 | From (333) and (377) follows:
% 19.22/5.00 | (341) ~ m1_subset_1(all_0_13_13, all_0_17_17)
% 19.22/5.00 |
% 19.22/5.00 | Using (121) and (341) yields:
% 19.22/5.00 | (342) $false
% 19.22/5.00 |
% 19.22/5.00 |-The branch is then unsatisfiable
% 19.22/5.00 |-Branch two:
% 19.22/5.00 | (380) m1_subset_1(all_0_13_13, all_57_4_66)
% 19.22/5.00 | (381) m2_nattra_1(all_57_3_65, all_0_18_18, all_57_2_64, all_0_11_11, all_57_0_62)
% 19.22/5.00 |
% 19.22/5.00 | From (266)(335) and (381) follows:
% 19.22/5.00 | (382) m2_nattra_1(all_0_7_7, all_0_18_18, all_0_16_16, all_0_11_11, all_57_0_62)
% 19.22/5.00 |
% 19.22/5.00 | Instantiating formula (119) with all_0_18_18, all_0_10_10, all_63_0_71, all_0_9_9 and discharging atoms k2_yoneda_1(all_0_18_18, all_0_10_10) = all_63_0_71, k2_yoneda_1(all_0_18_18, all_0_10_10) = all_0_9_9, yields:
% 19.22/5.00 | (383) all_63_0_71 = all_0_9_9
% 19.22/5.00 |
% 19.22/5.00 | Instantiating formula (119) with all_0_18_18, all_0_10_10, all_57_0_62, all_63_0_71 and discharging atoms k2_yoneda_1(all_0_18_18, all_0_10_10) = all_63_0_71, k2_yoneda_1(all_0_18_18, all_0_10_10) = all_57_0_62, yields:
% 19.22/5.00 | (384) all_63_0_71 = all_57_0_62
% 19.22/5.00 |
% 19.22/5.00 | Instantiating formula (119) with all_0_18_18, all_0_10_10, all_33_0_39, all_63_0_71 and discharging atoms k2_yoneda_1(all_0_18_18, all_0_10_10) = all_63_0_71, k2_yoneda_1(all_0_18_18, all_0_10_10) = all_33_0_39, yields:
% 19.22/5.00 | (385) all_63_0_71 = all_33_0_39
% 19.22/5.00 |
% 19.22/5.00 | Combining equations (385,384) yields a new equation:
% 19.22/5.00 | (386) all_57_0_62 = all_33_0_39
% 19.22/5.00 |
% 19.22/5.00 | Combining equations (383,384) yields a new equation:
% 19.22/5.00 | (387) all_57_0_62 = all_0_9_9
% 19.22/5.00 |
% 19.22/5.00 | Combining equations (387,386) yields a new equation:
% 19.22/5.00 | (388) all_33_0_39 = all_0_9_9
% 19.22/5.00 |
% 19.22/5.00 | Combining equations (388,386) yields a new equation:
% 19.22/5.00 | (387) all_57_0_62 = all_0_9_9
% 19.22/5.00 |
% 19.22/5.00 | Combining equations (387,384) yields a new equation:
% 19.22/5.00 | (383) all_63_0_71 = all_0_9_9
% 19.22/5.00 |
% 19.22/5.00 | From (383) and (339) follows:
% 19.22/5.00 | (391) r2_nattra_1(all_0_18_18, all_0_16_16, all_0_11_11, all_0_9_9)
% 19.22/5.00 |
% 19.22/5.00 | From (387) and (382) follows:
% 19.22/5.00 | (392) m2_nattra_1(all_0_7_7, all_0_18_18, all_0_16_16, all_0_11_11, all_0_9_9)
% 19.22/5.00 |
% 19.22/5.00 | Instantiating formula (48) with all_0_15_15, all_0_16_16, all_0_18_18 and discharging atoms k12_nattra_1(all_0_18_18, all_0_16_16) = all_0_15_15, l1_cat_1(all_0_16_16), l1_cat_1(all_0_18_18), v2_cat_1(all_0_16_16), v2_cat_1(all_0_18_18), yields:
% 19.22/5.00 | (393) v1_cat_1(all_0_15_15)
% 19.22/5.00 |
% 19.22/5.00 | Instantiating formula (153) with all_0_15_15, all_0_16_16, all_0_18_18 and discharging atoms k12_nattra_1(all_0_18_18, all_0_16_16) = all_0_15_15, l1_cat_1(all_0_16_16), l1_cat_1(all_0_18_18), v2_cat_1(all_0_16_16), v2_cat_1(all_0_18_18), yields:
% 19.22/5.00 | (394) l1_cat_1(all_0_15_15)
% 19.22/5.00 |
% 19.22/5.00 | Instantiating formula (63) with all_0_15_15, all_0_16_16, all_0_18_18 and discharging atoms k12_nattra_1(all_0_18_18, all_0_16_16) = all_0_15_15, l1_cat_1(all_0_16_16), l1_cat_1(all_0_18_18), v2_cat_1(all_0_16_16), v2_cat_1(all_0_18_18), yields:
% 19.22/5.00 | (395) v2_cat_1(all_0_15_15)
% 19.22/5.00 |
% 19.22/5.00 | Instantiating formula (146) with all_0_15_15, all_0_16_16, all_0_18_18 and discharging atoms k12_nattra_1(all_0_18_18, all_0_16_16) = all_0_15_15, l1_cat_1(all_0_16_16), l1_cat_1(all_0_18_18), v2_cat_1(all_0_16_16), v2_cat_1(all_0_18_18), yields:
% 19.22/5.01 | (396) ? [v0] : ? [v1] : (k7_cat_2(all_0_18_18, all_0_16_16) = v0 & k11_nattra_1(all_0_18_18, all_0_16_16) = v1 & ! [v2] : ! [v3] : ( ~ (u1_cat_1(v2) = v3) | ~ v1_cat_1(v2) | ~ l1_cat_1(v2) | ~ v2_cat_1(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k1_relat_1(v5) = v6 & u2_cat_1(v2) = v4 & u5_cat_1(v2) = v5 & ( ~ (v4 = v1) | ~ (v3 = v0) | v2 = all_0_15_15 | (v10 = v8 & k13_cat_2(v2, v2, v9, v7) = v11 & k2_cat_1(v2, v9) = v8 & k3_cat_1(v2, v7) = v8 & m1_subset_1(v9, v1) & m1_subset_1(v7, v1) & ~ r2_hidden(v11, v6)) | (v9 = v7 & ~ (v12 = v8) & k10_cat_1(v2, v7) = v8 & k7_nattra_1(all_0_18_18, all_0_16_16, v7) = v11 & k4_tarski(v10, v11) = v12 & k4_tarski(v7, v7) = v10 & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m1_subset_1(v7, v0)) | (k1_funct_1(v5, v9) = v10 & k13_cat_2(v2, v2, v8, v7) = v9 & r2_hidden(v9, v6) & m1_subset_1(v8, v1) & m1_subset_1(v7, v1) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v14, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v13, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v18, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v17, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v18, v21) = v22)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v13, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v14, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v17, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v18, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v18, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v17, v21) = v22))))) | (k2_cat_1(v2, v7) = v8 & k1_mcart_1(v9) = v10 & k1_mcart_1(v7) = v9 & k3_cat_1(v2, v7) = v11 & k2_mcart_1(v9) = v12 & m1_subset_1(v7, v1) & ( ~ (v12 = v11) | ~ (v10 = v8)))) & ( ~ (v2 = all_0_15_15) | (v4 = v1 & v3 = v0 & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (k10_cat_1(all_0_15_15, v13) = v14) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v13) = v16) | ~ (k4_tarski(v15, v16) = v17) | ~ (k4_tarski(v13, v13) = v15) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v13, v0)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_funct_1(v5, v15) = v16) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v15, v13) = v16) | ~ (k3_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | r2_hidden(v16, v6) | ? [v17] : ( ~ (v17 = v14) & k2_cat_1(all_0_15_15, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k1_funct_1(v5, v15) = v16 & k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k2_cat_1(all_0_15_15, v15) = v14) | ~ (k3_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : (k13_cat_2(all_0_15_15, all_0_15_15, v15, v13) = v16 & r2_hidden(v16, v6))) & ! [v13] : ! [v14] : ( ~ (k2_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k1_mcart_1(v15) = v14 & k1_mcart_1(v13) = v15 & k3_cat_1(all_0_15_15, v13) = v16 & k2_mcart_1(v15) = v16)) & ! [v13] : ! [v14] : ( ~ (k1_mcart_1(v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(all_0_15_15, v13) = v15 & k1_mcart_1(v14) = v15 & k3_cat_1(all_0_15_15, v13) = v16 & k2_mcart_1(v14) = v16)) & ! [v13] : ! [v14] : ( ~ (k3_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(all_0_15_15, v13) = v15 & k1_mcart_1(v16) = v15 & k1_mcart_1(v13) = v16 & k2_mcart_1(v16) = v14)))))) & ! [v2] : ! [v3] : ( ~ (u2_cat_1(v2) = v3) | ~ v1_cat_1(v2) | ~ l1_cat_1(v2) | ~ v2_cat_1(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k1_relat_1(v5) = v6 & u1_cat_1(v2) = v4 & u5_cat_1(v2) = v5 & ( ~ (v4 = v0) | ~ (v3 = v1) | v2 = all_0_15_15 | (v10 = v8 & k13_cat_2(v2, v2, v9, v7) = v11 & k2_cat_1(v2, v9) = v8 & k3_cat_1(v2, v7) = v8 & m1_subset_1(v9, v1) & m1_subset_1(v7, v1) & ~ r2_hidden(v11, v6)) | (v9 = v7 & ~ (v12 = v8) & k10_cat_1(v2, v7) = v8 & k7_nattra_1(all_0_18_18, all_0_16_16, v7) = v11 & k4_tarski(v10, v11) = v12 & k4_tarski(v7, v7) = v10 & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m1_subset_1(v7, v0)) | (k1_funct_1(v5, v9) = v10 & k13_cat_2(v2, v2, v8, v7) = v9 & r2_hidden(v9, v6) & m1_subset_1(v8, v1) & m1_subset_1(v7, v1) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v14, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v13, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v18, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v17, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v18, v21) = v22)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v13, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v14, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v17, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v18, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v18, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v17, v21) = v22))))) | (k2_cat_1(v2, v7) = v8 & k1_mcart_1(v9) = v10 & k1_mcart_1(v7) = v9 & k3_cat_1(v2, v7) = v11 & k2_mcart_1(v9) = v12 & m1_subset_1(v7, v1) & ( ~ (v12 = v11) | ~ (v10 = v8)))) & ( ~ (v2 = all_0_15_15) | (v4 = v0 & v3 = v1 & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (k10_cat_1(all_0_15_15, v13) = v14) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v13) = v16) | ~ (k4_tarski(v15, v16) = v17) | ~ (k4_tarski(v13, v13) = v15) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v13, v0)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_funct_1(v5, v15) = v16) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v15, v13) = v16) | ~ (k3_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | r2_hidden(v16, v6) | ? [v17] : ( ~ (v17 = v14) & k2_cat_1(all_0_15_15, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k1_funct_1(v5, v15) = v16 & k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k2_cat_1(all_0_15_15, v15) = v14) | ~ (k3_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : (k13_cat_2(all_0_15_15, all_0_15_15, v15, v13) = v16 & r2_hidden(v16, v6))) & ! [v13] : ! [v14] : ( ~ (k2_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k1_mcart_1(v15) = v14 & k1_mcart_1(v13) = v15 & k3_cat_1(all_0_15_15, v13) = v16 & k2_mcart_1(v15) = v16)) & ! [v13] : ! [v14] : ( ~ (k1_mcart_1(v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(all_0_15_15, v13) = v15 & k1_mcart_1(v14) = v15 & k3_cat_1(all_0_15_15, v13) = v16 & k2_mcart_1(v14) = v16)) & ! [v13] : ! [v14] : ( ~ (k3_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(all_0_15_15, v13) = v15 & k1_mcart_1(v16) = v15 & k1_mcart_1(v13) = v16 & k2_mcart_1(v16) = v14)))))) & ! [v2] : ! [v3] : ( ~ (u5_cat_1(v2) = v3) | ~ v1_cat_1(v2) | ~ l1_cat_1(v2) | ~ v2_cat_1(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k1_relat_1(v3) = v6 & u1_cat_1(v2) = v4 & u2_cat_1(v2) = v5 & ( ~ (v5 = v1) | ~ (v4 = v0) | v2 = all_0_15_15 | (v10 = v8 & k13_cat_2(v2, v2, v9, v7) = v11 & k2_cat_1(v2, v9) = v8 & k3_cat_1(v2, v7) = v8 & m1_subset_1(v9, v1) & m1_subset_1(v7, v1) & ~ r2_hidden(v11, v6)) | (v9 = v7 & ~ (v12 = v8) & k10_cat_1(v2, v7) = v8 & k7_nattra_1(all_0_18_18, all_0_16_16, v7) = v11 & k4_tarski(v10, v11) = v12 & k4_tarski(v7, v7) = v10 & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m1_subset_1(v7, v0)) | (k1_funct_1(v3, v9) = v10 & k13_cat_2(v2, v2, v8, v7) = v9 & r2_hidden(v9, v6) & m1_subset_1(v8, v1) & m1_subset_1(v7, v1) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v14, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v13, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v18, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v17, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v18, v21) = v22)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v13, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v14, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v17, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v18, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v18, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v17, v21) = v22))))) | (k2_cat_1(v2, v7) = v8 & k1_mcart_1(v9) = v10 & k1_mcart_1(v7) = v9 & k3_cat_1(v2, v7) = v11 & k2_mcart_1(v9) = v12 & m1_subset_1(v7, v1) & ( ~ (v12 = v11) | ~ (v10 = v8)))) & ( ~ (v2 = all_0_15_15) | (v5 = v1 & v4 = v0 & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (k10_cat_1(all_0_15_15, v13) = v14) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v13) = v16) | ~ (k4_tarski(v15, v16) = v17) | ~ (k4_tarski(v13, v13) = v15) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v13, v0)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_funct_1(v3, v15) = v16) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v15, v13) = v16) | ~ (k3_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | r2_hidden(v16, v6) | ? [v17] : ( ~ (v17 = v14) & k2_cat_1(all_0_15_15, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k1_funct_1(v3, v15) = v16 & k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k2_cat_1(all_0_15_15, v15) = v14) | ~ (k3_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : (k13_cat_2(all_0_15_15, all_0_15_15, v15, v13) = v16 & r2_hidden(v16, v6))) & ! [v13] : ! [v14] : ( ~ (k2_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k1_mcart_1(v15) = v14 & k1_mcart_1(v13) = v15 & k3_cat_1(all_0_15_15, v13) = v16 & k2_mcart_1(v15) = v16)) & ! [v13] : ! [v14] : ( ~ (k1_mcart_1(v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(all_0_15_15, v13) = v15 & k1_mcart_1(v14) = v15 & k3_cat_1(all_0_15_15, v13) = v16 & k2_mcart_1(v14) = v16)) & ! [v13] : ! [v14] : ( ~ (k3_cat_1(all_0_15_15, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(all_0_15_15, v13) = v15 & k1_mcart_1(v16) = v15 & k1_mcart_1(v13) = v16 & k2_mcart_1(v16) = v14)))))))
% 19.22/5.02 |
% 19.22/5.02 | Instantiating (396) with all_139_0_89, all_139_1_90 yields:
% 19.22/5.02 | (397) k7_cat_2(all_0_18_18, all_0_16_16) = all_139_1_90 & k11_nattra_1(all_0_18_18, all_0_16_16) = all_139_0_89 & ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v3) = v4 & u2_cat_1(v0) = v2 & u5_cat_1(v0) = v3 & ( ~ (v2 = all_139_0_89) | ~ (v1 = all_139_1_90) | v0 = all_0_15_15 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v3, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_139_0_89) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_0_15_15) | (v2 = all_139_0_89 & v1 = all_139_1_90 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_0_15_15, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v3, v13) = v14) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_0_15_15, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v3, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_0_15_15, v13) = v12) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12)))))) & ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v3) = v4 & u1_cat_1(v0) = v2 & u5_cat_1(v0) = v3 & ( ~ (v2 = all_139_1_90) | ~ (v1 = all_139_0_89) | v0 = all_0_15_15 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v3, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_139_0_89) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_0_15_15) | (v2 = all_139_1_90 & v1 = all_139_0_89 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_0_15_15, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v3, v13) = v14) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_0_15_15, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v3, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_0_15_15, v13) = v12) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12)))))) & ! [v0] : ! [v1] : ( ~ (u5_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v1) = v4 & u1_cat_1(v0) = v2 & u2_cat_1(v0) = v3 & ( ~ (v3 = all_139_0_89) | ~ (v2 = all_139_1_90) | v0 = all_0_15_15 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v1, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_139_0_89) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_0_15_15) | (v3 = all_139_0_89 & v2 = all_139_1_90 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_0_15_15, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v1, v13) = v14) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_0_15_15, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v1, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_0_15_15, v13) = v12) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12))))))
% 19.22/5.03 |
% 19.22/5.03 | Applying alpha-rule on (397) yields:
% 19.22/5.03 | (398) ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v3) = v4 & u2_cat_1(v0) = v2 & u5_cat_1(v0) = v3 & ( ~ (v2 = all_139_0_89) | ~ (v1 = all_139_1_90) | v0 = all_0_15_15 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v3, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_139_0_89) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_0_15_15) | (v2 = all_139_0_89 & v1 = all_139_1_90 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_0_15_15, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v3, v13) = v14) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_0_15_15, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v3, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_0_15_15, v13) = v12) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12))))))
% 19.22/5.03 | (399) ! [v0] : ! [v1] : ( ~ (u5_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v1) = v4 & u1_cat_1(v0) = v2 & u2_cat_1(v0) = v3 & ( ~ (v3 = all_139_0_89) | ~ (v2 = all_139_1_90) | v0 = all_0_15_15 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v1, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_139_0_89) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_0_15_15) | (v3 = all_139_0_89 & v2 = all_139_1_90 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_0_15_15, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v1, v13) = v14) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_0_15_15, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v1, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_0_15_15, v13) = v12) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12))))))
% 19.22/5.03 | (400) k7_cat_2(all_0_18_18, all_0_16_16) = all_139_1_90
% 19.22/5.03 | (401) k11_nattra_1(all_0_18_18, all_0_16_16) = all_139_0_89
% 19.22/5.04 | (402) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v3) = v4 & u1_cat_1(v0) = v2 & u5_cat_1(v0) = v3 & ( ~ (v2 = all_139_1_90) | ~ (v1 = all_139_0_89) | v0 = all_0_15_15 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v3, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_139_0_89) & m1_subset_1(v5, all_139_0_89) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_139_0_89) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_0_15_15) | (v2 = all_139_1_90 & v1 = all_139_0_89 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_0_15_15, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v3, v13) = v14) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_0_15_15, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v3, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_0_15_15, v13) = v12) | ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v13, all_139_0_89) | ~ m1_subset_1(v11, all_139_0_89) | ? [v14] : (k13_cat_2(all_0_15_15, all_0_15_15, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_0_15_15, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_0_15_15, v11) = v12) | ~ m1_subset_1(v11, all_139_0_89) | ? [v13] : ? [v14] : (k2_cat_1(all_0_15_15, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12))))))
% 19.58/5.04 |
% 19.58/5.04 | Instantiating formula (92) with all_139_1_90, all_0_16_16, all_0_18_18 and discharging atoms k7_cat_2(all_0_18_18, all_0_16_16) = all_139_1_90, l1_cat_1(all_0_16_16), l1_cat_1(all_0_18_18), v2_cat_1(all_0_16_16), v2_cat_1(all_0_18_18), yields:
% 19.58/5.04 | (403) ? [v0] : ? [v1] : (k12_nattra_1(all_0_18_18, all_0_16_16) = v0 & k11_nattra_1(all_0_18_18, all_0_16_16) = v1 & ! [v2] : ! [v3] : ( ~ (u1_cat_1(v2) = v3) | ~ v1_cat_1(v2) | ~ l1_cat_1(v2) | ~ v2_cat_1(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k1_relat_1(v5) = v6 & u2_cat_1(v2) = v4 & u5_cat_1(v2) = v5 & ( ~ (v4 = v1) | ~ (v3 = all_139_1_90) | v2 = v0 | (v10 = v8 & k13_cat_2(v2, v2, v9, v7) = v11 & k2_cat_1(v2, v9) = v8 & k3_cat_1(v2, v7) = v8 & m1_subset_1(v9, v1) & m1_subset_1(v7, v1) & ~ r2_hidden(v11, v6)) | (v9 = v7 & ~ (v12 = v8) & k10_cat_1(v2, v7) = v8 & k7_nattra_1(all_0_18_18, all_0_16_16, v7) = v11 & k4_tarski(v10, v11) = v12 & k4_tarski(v7, v7) = v10 & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m1_subset_1(v7, all_139_1_90)) | (k1_funct_1(v5, v9) = v10 & k13_cat_2(v2, v2, v8, v7) = v9 & r2_hidden(v9, v6) & m1_subset_1(v8, v1) & m1_subset_1(v7, v1) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v14, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v13, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v18, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v17, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v18, v21) = v22)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v13, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v14, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v17, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v18, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v18, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v17, v21) = v22))))) | (k2_cat_1(v2, v7) = v8 & k1_mcart_1(v9) = v10 & k1_mcart_1(v7) = v9 & k3_cat_1(v2, v7) = v11 & k2_mcart_1(v9) = v12 & m1_subset_1(v7, v1) & ( ~ (v12 = v11) | ~ (v10 = v8)))) & ( ~ (v2 = v0) | (v4 = v1 & v3 = all_139_1_90 & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (k10_cat_1(v0, v13) = v14) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v13) = v16) | ~ (k4_tarski(v15, v16) = v17) | ~ (k4_tarski(v13, v13) = v15) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v13, all_139_1_90)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_funct_1(v5, v15) = v16) | ~ (k13_cat_2(v0, v0, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k13_cat_2(v0, v0, v15, v13) = v16) | ~ (k3_cat_1(v0, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | r2_hidden(v16, v6) | ? [v17] : ( ~ (v17 = v14) & k2_cat_1(v0, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k13_cat_2(v0, v0, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k1_funct_1(v5, v15) = v16 & k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k2_cat_1(v0, v15) = v14) | ~ (k3_cat_1(v0, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : (k13_cat_2(v0, v0, v15, v13) = v16 & r2_hidden(v16, v6))) & ! [v13] : ! [v14] : ( ~ (k2_cat_1(v0, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k1_mcart_1(v15) = v14 & k1_mcart_1(v13) = v15 & k3_cat_1(v0, v13) = v16 & k2_mcart_1(v15) = v16)) & ! [v13] : ! [v14] : ( ~ (k1_mcart_1(v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(v0, v13) = v15 & k1_mcart_1(v14) = v15 & k3_cat_1(v0, v13) = v16 & k2_mcart_1(v14) = v16)) & ! [v13] : ! [v14] : ( ~ (k3_cat_1(v0, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(v0, v13) = v15 & k1_mcart_1(v16) = v15 & k1_mcart_1(v13) = v16 & k2_mcart_1(v16) = v14)))))) & ! [v2] : ! [v3] : ( ~ (u2_cat_1(v2) = v3) | ~ v1_cat_1(v2) | ~ l1_cat_1(v2) | ~ v2_cat_1(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k1_relat_1(v5) = v6 & u1_cat_1(v2) = v4 & u5_cat_1(v2) = v5 & ( ~ (v4 = all_139_1_90) | ~ (v3 = v1) | v2 = v0 | (v10 = v8 & k13_cat_2(v2, v2, v9, v7) = v11 & k2_cat_1(v2, v9) = v8 & k3_cat_1(v2, v7) = v8 & m1_subset_1(v9, v1) & m1_subset_1(v7, v1) & ~ r2_hidden(v11, v6)) | (v9 = v7 & ~ (v12 = v8) & k10_cat_1(v2, v7) = v8 & k7_nattra_1(all_0_18_18, all_0_16_16, v7) = v11 & k4_tarski(v10, v11) = v12 & k4_tarski(v7, v7) = v10 & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m1_subset_1(v7, all_139_1_90)) | (k1_funct_1(v5, v9) = v10 & k13_cat_2(v2, v2, v8, v7) = v9 & r2_hidden(v9, v6) & m1_subset_1(v8, v1) & m1_subset_1(v7, v1) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v14, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v13, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v18, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v17, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v18, v21) = v22)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v13, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v14, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v17, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v18, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v18, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v17, v21) = v22))))) | (k2_cat_1(v2, v7) = v8 & k1_mcart_1(v9) = v10 & k1_mcart_1(v7) = v9 & k3_cat_1(v2, v7) = v11 & k2_mcart_1(v9) = v12 & m1_subset_1(v7, v1) & ( ~ (v12 = v11) | ~ (v10 = v8)))) & ( ~ (v2 = v0) | (v4 = all_139_1_90 & v3 = v1 & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (k10_cat_1(v0, v13) = v14) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v13) = v16) | ~ (k4_tarski(v15, v16) = v17) | ~ (k4_tarski(v13, v13) = v15) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v13, all_139_1_90)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_funct_1(v5, v15) = v16) | ~ (k13_cat_2(v0, v0, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k13_cat_2(v0, v0, v15, v13) = v16) | ~ (k3_cat_1(v0, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | r2_hidden(v16, v6) | ? [v17] : ( ~ (v17 = v14) & k2_cat_1(v0, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k13_cat_2(v0, v0, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k1_funct_1(v5, v15) = v16 & k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k2_cat_1(v0, v15) = v14) | ~ (k3_cat_1(v0, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : (k13_cat_2(v0, v0, v15, v13) = v16 & r2_hidden(v16, v6))) & ! [v13] : ! [v14] : ( ~ (k2_cat_1(v0, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k1_mcart_1(v15) = v14 & k1_mcart_1(v13) = v15 & k3_cat_1(v0, v13) = v16 & k2_mcart_1(v15) = v16)) & ! [v13] : ! [v14] : ( ~ (k1_mcart_1(v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(v0, v13) = v15 & k1_mcart_1(v14) = v15 & k3_cat_1(v0, v13) = v16 & k2_mcart_1(v14) = v16)) & ! [v13] : ! [v14] : ( ~ (k3_cat_1(v0, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(v0, v13) = v15 & k1_mcart_1(v16) = v15 & k1_mcart_1(v13) = v16 & k2_mcart_1(v16) = v14)))))) & ! [v2] : ! [v3] : ( ~ (u5_cat_1(v2) = v3) | ~ v1_cat_1(v2) | ~ l1_cat_1(v2) | ~ v2_cat_1(v2) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k1_relat_1(v3) = v6 & u1_cat_1(v2) = v4 & u2_cat_1(v2) = v5 & ( ~ (v5 = v1) | ~ (v4 = all_139_1_90) | v2 = v0 | (v10 = v8 & k13_cat_2(v2, v2, v9, v7) = v11 & k2_cat_1(v2, v9) = v8 & k3_cat_1(v2, v7) = v8 & m1_subset_1(v9, v1) & m1_subset_1(v7, v1) & ~ r2_hidden(v11, v6)) | (v9 = v7 & ~ (v12 = v8) & k10_cat_1(v2, v7) = v8 & k7_nattra_1(all_0_18_18, all_0_16_16, v7) = v11 & k4_tarski(v10, v11) = v12 & k4_tarski(v7, v7) = v10 & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m1_subset_1(v7, all_139_1_90)) | (k1_funct_1(v3, v9) = v10 & k13_cat_2(v2, v2, v8, v7) = v9 & r2_hidden(v9, v6) & m1_subset_1(v8, v1) & m1_subset_1(v7, v1) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v14, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v13, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v18, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v17, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v18, v21) = v22)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k4_tarski(v13, v16) = v17) | ~ (k4_tarski(v13, v14) = v15) | ~ m2_cat_1(v16, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ? [v18] : (k4_tarski(v14, v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21) | ~ (k4_tarski(v17, v21) = v10) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v22] : ( ~ (v22 = v8) & k4_tarski(v18, v20) = v22)) & ! [v19] : ! [v20] : ( ~ (k4_tarski(v18, v20) = v8) | ~ (k4_tarski(v15, v19) = v7) | ~ m2_nattra_1(v20, all_0_18_18, all_0_16_16, v14, v16) | ~ m2_nattra_1(v19, all_0_18_18, all_0_16_16, v13, v14) | ? [v21] : ? [v22] : ( ~ (v22 = v10) & k8_nattra_1(all_0_18_18, all_0_16_16, v13, v14, v16, v19, v20) = v21 & k4_tarski(v17, v21) = v22))))) | (k2_cat_1(v2, v7) = v8 & k1_mcart_1(v9) = v10 & k1_mcart_1(v7) = v9 & k3_cat_1(v2, v7) = v11 & k2_mcart_1(v9) = v12 & m1_subset_1(v7, v1) & ( ~ (v12 = v11) | ~ (v10 = v8)))) & ( ~ (v2 = v0) | (v5 = v1 & v4 = all_139_1_90 & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (k10_cat_1(v0, v13) = v14) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v13) = v16) | ~ (k4_tarski(v15, v16) = v17) | ~ (k4_tarski(v13, v13) = v15) | ~ m2_cat_1(v13, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v13, all_139_1_90)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_funct_1(v3, v15) = v16) | ~ (k13_cat_2(v0, v0, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k13_cat_2(v0, v0, v15, v13) = v16) | ~ (k3_cat_1(v0, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | r2_hidden(v16, v6) | ? [v17] : ( ~ (v17 = v14) & k2_cat_1(v0, v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k13_cat_2(v0, v0, v14, v13) = v15) | ~ r2_hidden(v15, v6) | ~ m1_subset_1(v14, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (k1_funct_1(v3, v15) = v16 & k8_nattra_1(all_0_18_18, all_0_16_16, v17, v18, v20, v23, v24) = v25 & k4_tarski(v22, v25) = v16 & k4_tarski(v21, v24) = v14 & k4_tarski(v19, v23) = v13 & k4_tarski(v18, v20) = v21 & k4_tarski(v17, v20) = v22 & k4_tarski(v17, v18) = v19 & m2_nattra_1(v24, all_0_18_18, all_0_16_16, v18, v20) & m2_nattra_1(v23, all_0_18_18, all_0_16_16, v17, v18) & m2_cat_1(v20, all_0_18_18, all_0_16_16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v17, all_0_18_18, all_0_16_16))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (k2_cat_1(v0, v15) = v14) | ~ (k3_cat_1(v0, v13) = v14) | ~ m1_subset_1(v15, v1) | ~ m1_subset_1(v13, v1) | ? [v16] : (k13_cat_2(v0, v0, v15, v13) = v16 & r2_hidden(v16, v6))) & ! [v13] : ! [v14] : ( ~ (k2_cat_1(v0, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k1_mcart_1(v15) = v14 & k1_mcart_1(v13) = v15 & k3_cat_1(v0, v13) = v16 & k2_mcart_1(v15) = v16)) & ! [v13] : ! [v14] : ( ~ (k1_mcart_1(v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(v0, v13) = v15 & k1_mcart_1(v14) = v15 & k3_cat_1(v0, v13) = v16 & k2_mcart_1(v14) = v16)) & ! [v13] : ! [v14] : ( ~ (k3_cat_1(v0, v13) = v14) | ~ m1_subset_1(v13, v1) | ? [v15] : ? [v16] : (k2_cat_1(v0, v13) = v15 & k1_mcart_1(v16) = v15 & k1_mcart_1(v13) = v16 & k2_mcart_1(v16) = v14)))))))
% 19.58/5.05 |
% 19.58/5.05 | Instantiating formula (33) with all_139_0_89, all_0_16_16, all_0_18_18 and discharging atoms k11_nattra_1(all_0_18_18, all_0_16_16) = all_139_0_89, l1_cat_1(all_0_16_16), l1_cat_1(all_0_18_18), v2_cat_1(all_0_16_16), v2_cat_1(all_0_18_18), yields:
% 19.58/5.05 | (404) m4_nattra_1(all_139_0_89, all_0_18_18, all_0_16_16)
% 19.58/5.05 |
% 19.58/5.05 | Instantiating formula (402) with all_0_14_14, all_0_15_15 and discharging atoms u2_cat_1(all_0_15_15) = all_0_14_14, v1_cat_1(all_0_15_15), l1_cat_1(all_0_15_15), v2_cat_1(all_0_15_15), yields:
% 19.58/5.05 | (405) ? [v0] : ? [v1] : (all_139_0_89 = all_0_14_14 & k1_relat_1(v0) = v1 & u1_cat_1(all_0_15_15) = all_139_1_90 & u5_cat_1(all_0_15_15) = v0 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (k10_cat_1(all_0_15_15, v2) = v3) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v2) = v5) | ~ (k4_tarski(v4, v5) = v6) | ~ (k4_tarski(v2, v2) = v4) | ~ m2_cat_1(v2, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v2, all_139_1_90)) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_funct_1(v0, v4) = v5) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v3, v2) = v4) | ~ r2_hidden(v4, v1) | ~ m1_subset_1(v3, all_0_14_14) | ~ m1_subset_1(v2, all_0_14_14) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (k8_nattra_1(all_0_18_18, all_0_16_16, v6, v7, v9, v12, v13) = v14 & k4_tarski(v11, v14) = v5 & k4_tarski(v10, v13) = v3 & k4_tarski(v8, v12) = v2 & k4_tarski(v7, v9) = v10 & k4_tarski(v6, v9) = v11 & k4_tarski(v6, v7) = v8 & m2_nattra_1(v13, all_0_18_18, all_0_16_16, v7, v9) & m2_nattra_1(v12, all_0_18_18, all_0_16_16, v6, v7) & m2_cat_1(v9, all_0_18_18, all_0_16_16) & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m2_cat_1(v6, all_0_18_18, all_0_16_16))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v4, v2) = v5) | ~ (k3_cat_1(all_0_15_15, v2) = v3) | ~ m1_subset_1(v4, all_0_14_14) | ~ m1_subset_1(v2, all_0_14_14) | r2_hidden(v5, v1) | ? [v6] : ( ~ (v6 = v3) & k2_cat_1(all_0_15_15, v4) = v6)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v3, v2) = v4) | ~ r2_hidden(v4, v1) | ~ m1_subset_1(v3, all_0_14_14) | ~ m1_subset_1(v2, all_0_14_14) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (k1_funct_1(v0, v4) = v5 & k8_nattra_1(all_0_18_18, all_0_16_16, v6, v7, v9, v12, v13) = v14 & k4_tarski(v11, v14) = v5 & k4_tarski(v10, v13) = v3 & k4_tarski(v8, v12) = v2 & k4_tarski(v7, v9) = v10 & k4_tarski(v6, v9) = v11 & k4_tarski(v6, v7) = v8 & m2_nattra_1(v13, all_0_18_18, all_0_16_16, v7, v9) & m2_nattra_1(v12, all_0_18_18, all_0_16_16, v6, v7) & m2_cat_1(v9, all_0_18_18, all_0_16_16) & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m2_cat_1(v6, all_0_18_18, all_0_16_16))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_cat_1(all_0_15_15, v4) = v3) | ~ (k3_cat_1(all_0_15_15, v2) = v3) | ~ m1_subset_1(v4, all_0_14_14) | ~ m1_subset_1(v2, all_0_14_14) | ? [v5] : (k13_cat_2(all_0_15_15, all_0_15_15, v4, v2) = v5 & r2_hidden(v5, v1))) & ! [v2] : ! [v3] : ( ~ (k2_cat_1(all_0_15_15, v2) = v3) | ~ m1_subset_1(v2, all_0_14_14) | ? [v4] : ? [v5] : (k1_mcart_1(v4) = v3 & k1_mcart_1(v2) = v4 & k3_cat_1(all_0_15_15, v2) = v5 & k2_mcart_1(v4) = v5)) & ! [v2] : ! [v3] : ( ~ (k1_mcart_1(v2) = v3) | ~ m1_subset_1(v2, all_0_14_14) | ? [v4] : ? [v5] : (k2_cat_1(all_0_15_15, v2) = v4 & k1_mcart_1(v3) = v4 & k3_cat_1(all_0_15_15, v2) = v5 & k2_mcart_1(v3) = v5)) & ! [v2] : ! [v3] : ( ~ (k3_cat_1(all_0_15_15, v2) = v3) | ~ m1_subset_1(v2, all_0_14_14) | ? [v4] : ? [v5] : (k2_cat_1(all_0_15_15, v2) = v4 & k1_mcart_1(v5) = v4 & k1_mcart_1(v2) = v5 & k2_mcart_1(v5) = v3)))
% 19.58/5.05 |
% 19.58/5.05 | Instantiating (403) with all_183_0_106, all_183_1_107 yields:
% 19.58/5.05 | (406) k12_nattra_1(all_0_18_18, all_0_16_16) = all_183_1_107 & k11_nattra_1(all_0_18_18, all_0_16_16) = all_183_0_106 & ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v3) = v4 & u2_cat_1(v0) = v2 & u5_cat_1(v0) = v3 & ( ~ (v2 = all_183_0_106) | ~ (v1 = all_139_1_90) | v0 = all_183_1_107 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v3, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_183_0_106) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_183_1_107) | (v2 = all_183_0_106 & v1 = all_139_1_90 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_183_1_107, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v3, v13) = v14) | ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_183_1_107, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v3, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_183_1_107, v13) = v12) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12)))))) & ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v3) = v4 & u1_cat_1(v0) = v2 & u5_cat_1(v0) = v3 & ( ~ (v2 = all_139_1_90) | ~ (v1 = all_183_0_106) | v0 = all_183_1_107 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v3, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_183_0_106) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_183_1_107) | (v2 = all_139_1_90 & v1 = all_183_0_106 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_183_1_107, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v3, v13) = v14) | ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_183_1_107, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v3, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_183_1_107, v13) = v12) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12)))))) & ! [v0] : ! [v1] : ( ~ (u5_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v1) = v4 & u1_cat_1(v0) = v2 & u2_cat_1(v0) = v3 & ( ~ (v3 = all_183_0_106) | ~ (v2 = all_139_1_90) | v0 = all_183_1_107 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v1, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_183_0_106) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_183_1_107) | (v3 = all_183_0_106 & v2 = all_139_1_90 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_183_1_107, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v1, v13) = v14) | ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_183_1_107, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v1, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_183_1_107, v13) = v12) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12))))))
% 19.58/5.06 |
% 19.58/5.06 | Applying alpha-rule on (406) yields:
% 19.58/5.06 | (407) k11_nattra_1(all_0_18_18, all_0_16_16) = all_183_0_106
% 19.58/5.06 | (408) k12_nattra_1(all_0_18_18, all_0_16_16) = all_183_1_107
% 19.58/5.06 | (409) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v3) = v4 & u1_cat_1(v0) = v2 & u5_cat_1(v0) = v3 & ( ~ (v2 = all_139_1_90) | ~ (v1 = all_183_0_106) | v0 = all_183_1_107 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v3, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_183_0_106) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_183_1_107) | (v2 = all_139_1_90 & v1 = all_183_0_106 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_183_1_107, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v3, v13) = v14) | ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_183_1_107, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v3, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_183_1_107, v13) = v12) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12))))))
% 19.58/5.06 | (410) ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v3) = v4 & u2_cat_1(v0) = v2 & u5_cat_1(v0) = v3 & ( ~ (v2 = all_183_0_106) | ~ (v1 = all_139_1_90) | v0 = all_183_1_107 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v3, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_183_0_106) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_183_1_107) | (v2 = all_183_0_106 & v1 = all_139_1_90 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_183_1_107, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v3, v13) = v14) | ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_183_1_107, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v3, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_183_1_107, v13) = v12) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12))))))
% 19.58/5.07 | (411) ! [v0] : ! [v1] : ( ~ (u5_cat_1(v0) = v1) | ~ v1_cat_1(v0) | ~ l1_cat_1(v0) | ~ v2_cat_1(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k1_relat_1(v1) = v4 & u1_cat_1(v0) = v2 & u2_cat_1(v0) = v3 & ( ~ (v3 = all_183_0_106) | ~ (v2 = all_139_1_90) | v0 = all_183_1_107 | (v8 = v6 & k13_cat_2(v0, v0, v7, v5) = v9 & k2_cat_1(v0, v7) = v6 & k3_cat_1(v0, v5) = v6 & m1_subset_1(v7, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ~ r2_hidden(v9, v4)) | (v7 = v5 & ~ (v10 = v6) & k10_cat_1(v0, v5) = v6 & k7_nattra_1(all_0_18_18, all_0_16_16, v5) = v9 & k4_tarski(v8, v9) = v10 & k4_tarski(v5, v5) = v8 & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m1_subset_1(v5, all_139_1_90)) | (k1_funct_1(v1, v7) = v8 & k13_cat_2(v0, v0, v6, v5) = v7 & r2_hidden(v7, v4) & m1_subset_1(v6, all_183_0_106) & m1_subset_1(v5, all_183_0_106) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v12, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v11, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v16, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v15, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v15, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v16, v19) = v20)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k4_tarski(v11, v14) = v15) | ~ (k4_tarski(v11, v12) = v13) | ~ m2_cat_1(v14, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v12, all_0_18_18, all_0_16_16) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ? [v16] : (k4_tarski(v12, v14) = v16 & ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19) | ~ (k4_tarski(v15, v19) = v8) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v20] : ( ~ (v20 = v6) & k4_tarski(v16, v18) = v20)) & ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v18) = v6) | ~ (k4_tarski(v13, v17) = v5) | ~ m2_nattra_1(v18, all_0_18_18, all_0_16_16, v12, v14) | ~ m2_nattra_1(v17, all_0_18_18, all_0_16_16, v11, v12) | ? [v19] : ? [v20] : ( ~ (v20 = v8) & k8_nattra_1(all_0_18_18, all_0_16_16, v11, v12, v14, v17, v18) = v19 & k4_tarski(v15, v19) = v20))))) | (k2_cat_1(v0, v5) = v6 & k1_mcart_1(v7) = v8 & k1_mcart_1(v5) = v7 & k3_cat_1(v0, v5) = v9 & k2_mcart_1(v7) = v10 & m1_subset_1(v5, all_183_0_106) & ( ~ (v10 = v9) | ~ (v8 = v6)))) & ( ~ (v0 = all_183_1_107) | (v3 = all_183_0_106 & v2 = all_139_1_90 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v12 | ~ (k10_cat_1(all_183_1_107, v11) = v12) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v11) = v14) | ~ (k4_tarski(v13, v14) = v15) | ~ (k4_tarski(v11, v11) = v13) | ~ m2_cat_1(v11, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v11, all_139_1_90)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_funct_1(v1, v13) = v14) | ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | r2_hidden(v14, v4) | ? [v15] : ( ~ (v15 = v12) & k2_cat_1(all_183_1_107, v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k13_cat_2(all_183_1_107, all_183_1_107, v12, v11) = v13) | ~ r2_hidden(v13, v4) | ~ m1_subset_1(v12, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k1_funct_1(v1, v13) = v14 & k8_nattra_1(all_0_18_18, all_0_16_16, v15, v16, v18, v21, v22) = v23 & k4_tarski(v20, v23) = v14 & k4_tarski(v19, v22) = v12 & k4_tarski(v17, v21) = v11 & k4_tarski(v16, v18) = v19 & k4_tarski(v15, v18) = v20 & k4_tarski(v15, v16) = v17 & m2_nattra_1(v22, all_0_18_18, all_0_16_16, v16, v18) & m2_nattra_1(v21, all_0_18_18, all_0_16_16, v15, v16) & m2_cat_1(v18, all_0_18_18, all_0_16_16) & m2_cat_1(v16, all_0_18_18, all_0_16_16) & m2_cat_1(v15, all_0_18_18, all_0_16_16))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_cat_1(all_183_1_107, v13) = v12) | ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v13, all_183_0_106) | ~ m1_subset_1(v11, all_183_0_106) | ? [v14] : (k13_cat_2(all_183_1_107, all_183_1_107, v13, v11) = v14 & r2_hidden(v14, v4))) & ! [v11] : ! [v12] : ( ~ (k2_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k1_mcart_1(v13) = v12 & k1_mcart_1(v11) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v13) = v14)) & ! [v11] : ! [v12] : ( ~ (k1_mcart_1(v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v12) = v13 & k3_cat_1(all_183_1_107, v11) = v14 & k2_mcart_1(v12) = v14)) & ! [v11] : ! [v12] : ( ~ (k3_cat_1(all_183_1_107, v11) = v12) | ~ m1_subset_1(v11, all_183_0_106) | ? [v13] : ? [v14] : (k2_cat_1(all_183_1_107, v11) = v13 & k1_mcart_1(v14) = v13 & k1_mcart_1(v11) = v14 & k2_mcart_1(v14) = v12))))))
% 19.58/5.07 |
% 19.58/5.07 | Instantiating (405) with all_217_0_126, all_217_1_127 yields:
% 19.58/5.07 | (412) all_139_0_89 = all_0_14_14 & k1_relat_1(all_217_1_127) = all_217_0_126 & u1_cat_1(all_0_15_15) = all_139_1_90 & u5_cat_1(all_0_15_15) = all_217_1_127 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (k10_cat_1(all_0_15_15, v0) = v1) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v0) = v3) | ~ (k4_tarski(v2, v3) = v4) | ~ (k4_tarski(v0, v0) = v2) | ~ m2_cat_1(v0, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v0, all_139_1_90)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_funct_1(all_217_1_127, v2) = v3) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v1, v0) = v2) | ~ r2_hidden(v2, all_217_0_126) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k8_nattra_1(all_0_18_18, all_0_16_16, v4, v5, v7, v10, v11) = v12 & k4_tarski(v9, v12) = v3 & k4_tarski(v8, v11) = v1 & k4_tarski(v6, v10) = v0 & k4_tarski(v5, v7) = v8 & k4_tarski(v4, v7) = v9 & k4_tarski(v4, v5) = v6 & m2_nattra_1(v11, all_0_18_18, all_0_16_16, v5, v7) & m2_nattra_1(v10, all_0_18_18, all_0_16_16, v4, v5) & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m2_cat_1(v4, all_0_18_18, all_0_16_16))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v2, v0) = v3) | ~ (k3_cat_1(all_0_15_15, v0) = v1) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v3, all_217_0_126) | ? [v4] : ( ~ (v4 = v1) & k2_cat_1(all_0_15_15, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v1, v0) = v2) | ~ r2_hidden(v2, all_217_0_126) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k1_funct_1(all_217_1_127, v2) = v3 & k8_nattra_1(all_0_18_18, all_0_16_16, v4, v5, v7, v10, v11) = v12 & k4_tarski(v9, v12) = v3 & k4_tarski(v8, v11) = v1 & k4_tarski(v6, v10) = v0 & k4_tarski(v5, v7) = v8 & k4_tarski(v4, v7) = v9 & k4_tarski(v4, v5) = v6 & m2_nattra_1(v11, all_0_18_18, all_0_16_16, v5, v7) & m2_nattra_1(v10, all_0_18_18, all_0_16_16, v4, v5) & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m2_cat_1(v4, all_0_18_18, all_0_16_16))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_cat_1(all_0_15_15, v2) = v1) | ~ (k3_cat_1(all_0_15_15, v0) = v1) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | ? [v3] : (k13_cat_2(all_0_15_15, all_0_15_15, v2, v0) = v3 & r2_hidden(v3, all_217_0_126))) & ! [v0] : ! [v1] : ( ~ (k2_cat_1(all_0_15_15, v0) = v1) | ~ m1_subset_1(v0, all_0_14_14) | ? [v2] : ? [v3] : (k1_mcart_1(v2) = v1 & k1_mcart_1(v0) = v2 & k3_cat_1(all_0_15_15, v0) = v3 & k2_mcart_1(v2) = v3)) & ! [v0] : ! [v1] : ( ~ (k1_mcart_1(v0) = v1) | ~ m1_subset_1(v0, all_0_14_14) | ? [v2] : ? [v3] : (k2_cat_1(all_0_15_15, v0) = v2 & k1_mcart_1(v1) = v2 & k3_cat_1(all_0_15_15, v0) = v3 & k2_mcart_1(v1) = v3)) & ! [v0] : ! [v1] : ( ~ (k3_cat_1(all_0_15_15, v0) = v1) | ~ m1_subset_1(v0, all_0_14_14) | ? [v2] : ? [v3] : (k2_cat_1(all_0_15_15, v0) = v2 & k1_mcart_1(v3) = v2 & k1_mcart_1(v0) = v3 & k2_mcart_1(v3) = v1))
% 19.58/5.07 |
% 19.58/5.07 | Applying alpha-rule on (412) yields:
% 19.58/5.07 | (413) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v2, v0) = v3) | ~ (k3_cat_1(all_0_15_15, v0) = v1) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | r2_hidden(v3, all_217_0_126) | ? [v4] : ( ~ (v4 = v1) & k2_cat_1(all_0_15_15, v2) = v4))
% 19.58/5.07 | (414) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (k10_cat_1(all_0_15_15, v0) = v1) | ~ (k7_nattra_1(all_0_18_18, all_0_16_16, v0) = v3) | ~ (k4_tarski(v2, v3) = v4) | ~ (k4_tarski(v0, v0) = v2) | ~ m2_cat_1(v0, all_0_18_18, all_0_16_16) | ~ m1_subset_1(v0, all_139_1_90))
% 19.58/5.07 | (415) ! [v0] : ! [v1] : ! [v2] : ( ~ (k13_cat_2(all_0_15_15, all_0_15_15, v1, v0) = v2) | ~ r2_hidden(v2, all_217_0_126) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k1_funct_1(all_217_1_127, v2) = v3 & k8_nattra_1(all_0_18_18, all_0_16_16, v4, v5, v7, v10, v11) = v12 & k4_tarski(v9, v12) = v3 & k4_tarski(v8, v11) = v1 & k4_tarski(v6, v10) = v0 & k4_tarski(v5, v7) = v8 & k4_tarski(v4, v7) = v9 & k4_tarski(v4, v5) = v6 & m2_nattra_1(v11, all_0_18_18, all_0_16_16, v5, v7) & m2_nattra_1(v10, all_0_18_18, all_0_16_16, v4, v5) & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m2_cat_1(v4, all_0_18_18, all_0_16_16)))
% 19.58/5.07 | (416) ! [v0] : ! [v1] : ( ~ (k2_cat_1(all_0_15_15, v0) = v1) | ~ m1_subset_1(v0, all_0_14_14) | ? [v2] : ? [v3] : (k1_mcart_1(v2) = v1 & k1_mcart_1(v0) = v2 & k3_cat_1(all_0_15_15, v0) = v3 & k2_mcart_1(v2) = v3))
% 19.58/5.07 | (417) all_139_0_89 = all_0_14_14
% 19.58/5.07 | (418) u1_cat_1(all_0_15_15) = all_139_1_90
% 19.58/5.07 | (419) u5_cat_1(all_0_15_15) = all_217_1_127
% 19.58/5.07 | (420) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_cat_1(all_0_15_15, v2) = v1) | ~ (k3_cat_1(all_0_15_15, v0) = v1) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | ? [v3] : (k13_cat_2(all_0_15_15, all_0_15_15, v2, v0) = v3 & r2_hidden(v3, all_217_0_126)))
% 19.58/5.07 | (421) ! [v0] : ! [v1] : ( ~ (k3_cat_1(all_0_15_15, v0) = v1) | ~ m1_subset_1(v0, all_0_14_14) | ? [v2] : ? [v3] : (k2_cat_1(all_0_15_15, v0) = v2 & k1_mcart_1(v3) = v2 & k1_mcart_1(v0) = v3 & k2_mcart_1(v3) = v1))
% 19.58/5.07 | (422) ! [v0] : ! [v1] : ( ~ (k1_mcart_1(v0) = v1) | ~ m1_subset_1(v0, all_0_14_14) | ? [v2] : ? [v3] : (k2_cat_1(all_0_15_15, v0) = v2 & k1_mcart_1(v1) = v2 & k3_cat_1(all_0_15_15, v0) = v3 & k2_mcart_1(v1) = v3))
% 19.58/5.07 | (423) k1_relat_1(all_217_1_127) = all_217_0_126
% 19.58/5.07 | (424) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_funct_1(all_217_1_127, v2) = v3) | ~ (k13_cat_2(all_0_15_15, all_0_15_15, v1, v0) = v2) | ~ r2_hidden(v2, all_217_0_126) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k8_nattra_1(all_0_18_18, all_0_16_16, v4, v5, v7, v10, v11) = v12 & k4_tarski(v9, v12) = v3 & k4_tarski(v8, v11) = v1 & k4_tarski(v6, v10) = v0 & k4_tarski(v5, v7) = v8 & k4_tarski(v4, v7) = v9 & k4_tarski(v4, v5) = v6 & m2_nattra_1(v11, all_0_18_18, all_0_16_16, v5, v7) & m2_nattra_1(v10, all_0_18_18, all_0_16_16, v4, v5) & m2_cat_1(v7, all_0_18_18, all_0_16_16) & m2_cat_1(v5, all_0_18_18, all_0_16_16) & m2_cat_1(v4, all_0_18_18, all_0_16_16)))
% 19.58/5.07 |
% 19.58/5.07 | From (417) and (401) follows:
% 19.58/5.07 | (425) k11_nattra_1(all_0_18_18, all_0_16_16) = all_0_14_14
% 19.58/5.07 |
% 19.58/5.07 | From (417) and (404) follows:
% 19.58/5.07 | (426) m4_nattra_1(all_0_14_14, all_0_18_18, all_0_16_16)
% 19.58/5.07 |
% 19.58/5.07 | Instantiating formula (132) with all_0_18_18, all_0_16_16, all_0_14_14, all_183_0_106 and discharging atoms k11_nattra_1(all_0_18_18, all_0_16_16) = all_183_0_106, k11_nattra_1(all_0_18_18, all_0_16_16) = all_0_14_14, yields:
% 19.58/5.08 | (427) all_183_0_106 = all_0_14_14
% 19.58/5.08 |
% 19.58/5.08 | From (427) and (407) follows:
% 19.58/5.08 | (425) k11_nattra_1(all_0_18_18, all_0_16_16) = all_0_14_14
% 19.58/5.08 |
% 19.58/5.08 | Instantiating formula (3) with all_0_7_7, all_0_8_8, all_0_9_9, all_0_11_11, all_0_6_6, all_0_14_14, all_0_16_16, all_0_18_18 and discharging atoms k11_nattra_1(all_0_18_18, all_0_16_16) = all_0_14_14, k4_tarski(all_0_8_8, all_0_7_7) = all_0_6_6, k4_tarski(all_0_11_11, all_0_9_9) = all_0_8_8, r2_nattra_1(all_0_18_18, all_0_16_16, all_0_11_11, all_0_9_9), m2_nattra_1(all_0_7_7, all_0_18_18, all_0_16_16, all_0_11_11, all_0_9_9), m2_cat_1(all_0_9_9, all_0_18_18, all_0_16_16), m2_cat_1(all_0_11_11, all_0_18_18, all_0_16_16), m4_nattra_1(all_0_14_14, all_0_18_18, all_0_16_16), l1_cat_1(all_0_16_16), l1_cat_1(all_0_18_18), v2_cat_1(all_0_16_16), v2_cat_1(all_0_18_18), yields:
% 19.58/5.08 | (429) r2_hidden(all_0_6_6, all_0_14_14)
% 19.58/5.08 |
% 19.58/5.08 | Instantiating formula (154) with all_0_14_14, all_0_6_6 and discharging atoms r2_hidden(all_0_6_6, all_0_14_14), ~ m1_subset_1(all_0_6_6, all_0_14_14), yields:
% 19.58/5.08 | (342) $false
% 19.58/5.08 |
% 19.58/5.08 |-The branch is then unsatisfiable
% 19.58/5.08 % SZS output end Proof for theBenchmark
% 19.58/5.08
% 19.58/5.08 4478ms
%------------------------------------------------------------------------------