TSTP Solution File: CAT032+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CAT032+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 4.52s 1.75s
% Output : Proof 7.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT032+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun May 29 21:59:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.56 ____ _
% 0.19/0.56 ___ / __ \_____(_)___ ________ __________
% 0.19/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.56
% 0.19/0.56 A Theorem Prover for First-Order Logic
% 0.19/0.56 (ePrincess v.1.0)
% 0.19/0.56
% 0.19/0.56 (c) Philipp Rümmer, 2009-2015
% 0.19/0.56 (c) Peter Backeman, 2014-2015
% 0.19/0.56 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.56 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.56 Bug reports to peter@backeman.se
% 0.19/0.56
% 0.19/0.56 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.56
% 0.19/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.75/0.96 Prover 0: Preprocessing ...
% 3.27/1.37 Prover 0: Warning: ignoring some quantifiers
% 3.27/1.41 Prover 0: Constructing countermodel ...
% 4.52/1.75 Prover 0: proved (1131ms)
% 4.52/1.75
% 4.52/1.75 No countermodel exists, formula is valid
% 4.52/1.75 % SZS status Theorem for theBenchmark
% 4.52/1.75
% 4.52/1.75 Generating proof ... Warning: ignoring some quantifiers
% 6.96/2.26 found it (size 59)
% 6.96/2.26
% 6.96/2.26 % SZS output start Proof for theBenchmark
% 6.96/2.27 Assumed formulas after preprocessing and simplification:
% 6.96/2.27 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (k12_nattra_1(v0, v4) = v5 & k12_nattra_1(v0, v3) = v6 & k12_nattra_1(v0, v1) = v2 & k11_cat_2(v2, v6) = v7 & k11_cat_2(v1, v3) = v4 & v1_xboole_0(v9) & v1_xboole_0(k1_xboole_0) & l1_cat_1(v10) & l1_cat_1(v3) & l1_cat_1(v1) & l1_cat_1(v0) & v2_cat_1(v3) & v2_cat_1(v1) & v2_cat_1(v0) & ~ v1_xboole_0(v8) & ~ r1_isocat_1(v5, v7) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v16 | ~ (g1_cat_1(v18, v19, v20, v21, v22, v23) = v17) | ~ (g1_cat_1(v11, v12, v13, v14, v15, v16) = v17) | ~ m1_relset_1(v16, v11, v12) | ~ m1_relset_1(v14, v12, v11) | ~ m1_relset_1(v13, v12, v11) | ~ v1_funct_2(v16, v11, v12) | ~ v1_funct_2(v14, v12, v11) | ~ v1_funct_2(v13, v12, v11) | ~ v1_funct_1(v16) | ~ v1_funct_1(v15) | ~ v1_funct_1(v14) | ~ v1_funct_1(v13) | v1_xboole_0(v12) | v1_xboole_0(v11) | ? [v24] : (k2_zfmisc_1(v12, v12) = v24 & ~ m1_relset_1(v15, v24, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v22 = v15 | ~ (g1_cat_1(v18, v19, v20, v21, v22, v23) = v17) | ~ (g1_cat_1(v11, v12, v13, v14, v15, v16) = v17) | ~ m1_relset_1(v16, v11, v12) | ~ m1_relset_1(v14, v12, v11) | ~ m1_relset_1(v13, v12, v11) | ~ v1_funct_2(v16, v11, v12) | ~ v1_funct_2(v14, v12, v11) | ~ v1_funct_2(v13, v12, v11) | ~ v1_funct_1(v16) | ~ v1_funct_1(v15) | ~ v1_funct_1(v14) | ~ v1_funct_1(v13) | v1_xboole_0(v12) | v1_xboole_0(v11) | ? [v24] : (k2_zfmisc_1(v12, v12) = v24 & ~ m1_relset_1(v15, v24, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v14 | ~ (g1_cat_1(v18, v19, v20, v21, v22, v23) = v17) | ~ (g1_cat_1(v11, v12, v13, v14, v15, v16) = v17) | ~ m1_relset_1(v16, v11, v12) | ~ m1_relset_1(v14, v12, v11) | ~ m1_relset_1(v13, v12, v11) | ~ v1_funct_2(v16, v11, v12) | ~ v1_funct_2(v14, v12, v11) | ~ v1_funct_2(v13, v12, v11) | ~ v1_funct_1(v16) | ~ v1_funct_1(v15) | ~ v1_funct_1(v14) | ~ v1_funct_1(v13) | v1_xboole_0(v12) | v1_xboole_0(v11) | ? [v24] : (k2_zfmisc_1(v12, v12) = v24 & ~ m1_relset_1(v15, v24, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v13 | ~ (g1_cat_1(v18, v19, v20, v21, v22, v23) = v17) | ~ (g1_cat_1(v11, v12, v13, v14, v15, v16) = v17) | ~ m1_relset_1(v16, v11, v12) | ~ m1_relset_1(v14, v12, v11) | ~ m1_relset_1(v13, v12, v11) | ~ v1_funct_2(v16, v11, v12) | ~ v1_funct_2(v14, v12, v11) | ~ v1_funct_2(v13, v12, v11) | ~ v1_funct_1(v16) | ~ v1_funct_1(v15) | ~ v1_funct_1(v14) | ~ v1_funct_1(v13) | v1_xboole_0(v12) | v1_xboole_0(v11) | ? [v24] : (k2_zfmisc_1(v12, v12) = v24 & ~ m1_relset_1(v15, v24, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v12 | ~ (g1_cat_1(v18, v19, v20, v21, v22, v23) = v17) | ~ (g1_cat_1(v11, v12, v13, v14, v15, v16) = v17) | ~ m1_relset_1(v16, v11, v12) | ~ m1_relset_1(v14, v12, v11) | ~ m1_relset_1(v13, v12, v11) | ~ v1_funct_2(v16, v11, v12) | ~ v1_funct_2(v14, v12, v11) | ~ v1_funct_2(v13, v12, v11) | ~ v1_funct_1(v16) | ~ v1_funct_1(v15) | ~ v1_funct_1(v14) | ~ v1_funct_1(v13) | v1_xboole_0(v12) | v1_xboole_0(v11) | ? [v24] : (k2_zfmisc_1(v12, v12) = v24 & ~ m1_relset_1(v15, v24, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v18 = v11 | ~ (g1_cat_1(v18, v19, v20, v21, v22, v23) = v17) | ~ (g1_cat_1(v11, v12, v13, v14, v15, v16) = v17) | ~ m1_relset_1(v16, v11, v12) | ~ m1_relset_1(v14, v12, v11) | ~ m1_relset_1(v13, v12, v11) | ~ v1_funct_2(v16, v11, v12) | ~ v1_funct_2(v14, v12, v11) | ~ v1_funct_2(v13, v12, v11) | ~ v1_funct_1(v16) | ~ v1_funct_1(v15) | ~ v1_funct_1(v14) | ~ v1_funct_1(v13) | v1_xboole_0(v12) | v1_xboole_0(v11) | ? [v24] : (k2_zfmisc_1(v12, v12) = v24 & ~ m1_relset_1(v15, v24, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v11 | ~ (u1_cat_1(v11) = v12) | ~ (u2_cat_1(v11) = v13) | ~ (u3_cat_1(v11) = v14) | ~ (u4_cat_1(v11) = v15) | ~ (u5_cat_1(v11) = v16) | ~ (u6_cat_1(v11) = v17) | ~ (g1_cat_1(v12, v13, v14, v15, v16, v17) = v18) | ~ v1_cat_1(v11) | ~ l1_cat_1(v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v12 = v11 | ~ (g1_cat_1(v18, v17, v16, v15, v14, v13) = v12) | ~ (g1_cat_1(v18, v17, v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (g1_cat_1(v11, v12, v13, v14, v15, v16) = v17) | ~ m1_relset_1(v16, v11, v12) | ~ m1_relset_1(v14, v12, v11) | ~ m1_relset_1(v13, v12, v11) | ~ v1_funct_2(v16, v11, v12) | ~ v1_funct_2(v14, v12, v11) | ~ v1_funct_2(v13, v12, v11) | ~ v1_funct_1(v16) | ~ v1_funct_1(v15) | ~ v1_funct_1(v14) | ~ v1_funct_1(v13) | v1_xboole_0(v12) | v1_xboole_0(v11) | v1_cat_1(v17) | ? [v18] : (k2_zfmisc_1(v12, v12) = v18 & ~ m1_relset_1(v15, v18, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (g1_cat_1(v11, v12, v13, v14, v15, v16) = v17) | ~ m1_relset_1(v16, v11, v12) | ~ m1_relset_1(v14, v12, v11) | ~ m1_relset_1(v13, v12, v11) | ~ v1_funct_2(v16, v11, v12) | ~ v1_funct_2(v14, v12, v11) | ~ v1_funct_2(v13, v12, v11) | ~ v1_funct_1(v16) | ~ v1_funct_1(v15) | ~ v1_funct_1(v14) | ~ v1_funct_1(v13) | v1_xboole_0(v12) | v1_xboole_0(v11) | l1_cat_1(v17) | ? [v18] : (k2_zfmisc_1(v12, v12) = v18 & ~ m1_relset_1(v15, v18, v12))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k12_nattra_1(v11, v15) = v16) | ~ (k12_nattra_1(v11, v12) = v13) | ~ (k11_cat_2(v12, v14) = v15) | ~ l1_cat_1(v14) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v14) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | ? [v17] : ? [v18] : ? [v19] : (k17_isocat_2(v11, v12, v14) = v17 & k12_nattra_1(v11, v14) = v18 & k11_cat_2(v13, v18) = v19 & v8_cat_1(v17, v16, v19))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k12_nattra_1(v11, v14) = v15) | ~ (k12_nattra_1(v11, v12) = v13) | ~ (k11_cat_2(v13, v15) = v16) | ~ l1_cat_1(v14) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v14) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | ? [v17] : ? [v18] : ? [v19] : (k17_isocat_2(v11, v12, v14) = v17 & k12_nattra_1(v11, v18) = v19 & k11_cat_2(v12, v14) = v18 & v8_cat_1(v17, v19, v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k12_nattra_1(v11, v13) = v15) | ~ (k12_nattra_1(v11, v12) = v14) | ~ (k11_cat_2(v14, v15) = v16) | ~ l1_cat_1(v13) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v13) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | ? [v17] : ? [v18] : ? [v19] : (k17_isocat_2(v11, v12, v13) = v17 & k12_nattra_1(v11, v18) = v19 & k11_cat_2(v12, v13) = v18 & m2_cat_1(v17, v19, v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (k17_isocat_2(v15, v14, v13) = v12) | ~ (k17_isocat_2(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k17_isocat_2(v11, v12, v14) = v15) | ~ (k12_nattra_1(v11, v12) = v13) | ~ l1_cat_1(v14) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v14) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (k12_nattra_1(v11, v16) = v17 & k12_nattra_1(v11, v14) = v18 & k11_cat_2(v13, v18) = v19 & k11_cat_2(v12, v14) = v16 & v8_cat_1(v15, v17, v19))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k12_nattra_1(v11, v14) = v15) | ~ (k11_cat_2(v12, v13) = v14) | ~ l1_cat_1(v13) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v13) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (k17_isocat_2(v11, v12, v13) = v16 & k12_nattra_1(v11, v13) = v18 & k12_nattra_1(v11, v12) = v17 & k11_cat_2(v17, v18) = v19 & m2_cat_1(v16, v15, v19))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (u2_cat_1(v12) = v14) | ~ (u2_cat_1(v11) = v13) | ~ m2_cat_1(v15, v11, v12) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | m2_relset_1(v15, v13, v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (u2_cat_1(v12) = v14) | ~ (u2_cat_1(v11) = v13) | ~ m2_cat_1(v15, v11, v12) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | v1_funct_2(v15, v13, v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (u2_cat_1(v12) = v14) | ~ (u2_cat_1(v11) = v13) | ~ m2_cat_1(v15, v11, v12) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | v1_funct_1(v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (k12_nattra_1(v14, v13) = v12) | ~ (k12_nattra_1(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (k11_cat_2(v14, v13) = v12) | ~ (k11_cat_2(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (k2_zfmisc_1(v14, v13) = v12) | ~ (k2_zfmisc_1(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k17_isocat_2(v11, v12, v13) = v14) | ~ l1_cat_1(v13) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v13) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (k12_nattra_1(v11, v15) = v16 & k12_nattra_1(v11, v13) = v18 & k12_nattra_1(v11, v12) = v17 & k11_cat_2(v17, v18) = v19 & k11_cat_2(v12, v13) = v15 & m2_cat_1(v14, v16, v19))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k2_zfmisc_1(v11, v12) = v14) | ~ m2_relset_1(v13, v11, v12) | ? [v15] : (k1_zfmisc_1(v14) = v15 & m1_subset_1(v13, v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) | ~ v1_xboole_0(v13) | ~ m1_subset_1(v12, v14) | ~ r2_hidden(v11, v12)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) | ~ m1_subset_1(v12, v14) | ~ r2_hidden(v11, v12) | m1_subset_1(v11, v13)) & ? [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k2_zfmisc_1(v12, v13) = v14) | v1_relat_1(v11) | ? [v15] : (k1_zfmisc_1(v14) = v15 & ~ m1_subset_1(v11, v15))) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (k1_zfmisc_1(v13) = v12) | ~ (k1_zfmisc_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (u1_cat_1(v13) = v12) | ~ (u1_cat_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (u2_cat_1(v13) = v12) | ~ (u2_cat_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (u3_cat_1(v13) = v12) | ~ (u3_cat_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (u4_cat_1(v13) = v12) | ~ (u4_cat_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (u5_cat_1(v13) = v12) | ~ (u5_cat_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (u6_cat_1(v13) = v12) | ~ (u6_cat_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k12_nattra_1(v11, v12) = v13) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | v1_cat_1(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k12_nattra_1(v11, v12) = v13) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | l1_cat_1(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k12_nattra_1(v11, v12) = v13) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | v2_cat_1(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k11_cat_2(v11, v12) = v13) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | l1_cat_1(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k11_cat_2(v11, v12) = v13) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | v2_cat_1(v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_zfmisc_1(v12, v12) = v13) | ~ (u2_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v14] : (u5_cat_1(v11) = v14 & m2_relset_1(v14, v13, v12) & v1_funct_1(v14))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_zfmisc_1(v11, v12) = v13) | ~ v1_xboole_0(v13) | v1_xboole_0(v12) | v1_xboole_0(v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ r1_tarski(v11, v12) | m1_subset_1(v11, v13)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ m1_subset_1(v11, v13) | r1_tarski(v11, v12)) & ! [v11] : ! [v12] : ! [v13] : ( ~ m2_relset_1(v13, v11, v12) | m1_relset_1(v13, v11, v12)) & ! [v11] : ! [v12] : ! [v13] : ( ~ m1_relset_1(v13, v11, v12) | m2_relset_1(v13, v11, v12)) & ! [v11] : ! [v12] : ! [v13] : ( ~ v8_cat_1(v13, v11, v12) | ~ m2_cat_1(v13, v11, v12) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | r1_isocat_1(v11, v12)) & ! [v11] : ! [v12] : (v12 = v11 | ~ v1_xboole_0(v12) | ~ v1_xboole_0(v11)) & ! [v11] : ! [v12] : ( ~ (k1_zfmisc_1(v11) = v12) | ~ v1_xboole_0(v12)) & ! [v11] : ! [v12] : ( ~ (k1_zfmisc_1(v11) = v12) | v1_xboole_0(v11) | ? [v13] : (m1_subset_1(v13, v12) & ~ v1_xboole_0(v13))) & ! [v11] : ! [v12] : ( ~ (k1_zfmisc_1(v11) = v12) | ? [v13] : (v1_xboole_0(v13) & m1_subset_1(v13, v12))) & ! [v11] : ! [v12] : ( ~ (u1_cat_1(v11) = v12) | ~ v1_xboole_0(v12) | ~ l1_cat_1(v11)) & ! [v11] : ! [v12] : ( ~ (u1_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (u2_cat_1(v11) = v14 & u3_cat_1(v11) = v13 & m2_relset_1(v13, v14, v12) & v1_funct_2(v13, v14, v12) & v1_funct_1(v13))) & ! [v11] : ! [v12] : ( ~ (u1_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (u2_cat_1(v11) = v14 & u4_cat_1(v11) = v13 & m2_relset_1(v13, v14, v12) & v1_funct_2(v13, v14, v12) & v1_funct_1(v13))) & ! [v11] : ! [v12] : ( ~ (u1_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (u2_cat_1(v11) = v14 & u6_cat_1(v11) = v13 & m2_relset_1(v13, v12, v14) & v1_funct_2(v13, v12, v14) & v1_funct_1(v13))) & ! [v11] : ! [v12] : ( ~ (u2_cat_1(v11) = v12) | ~ v1_xboole_0(v12) | ~ l1_cat_1(v11)) & ! [v11] : ! [v12] : ( ~ (u2_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (k2_zfmisc_1(v12, v12) = v14 & u5_cat_1(v11) = v13 & m2_relset_1(v13, v14, v12) & v1_funct_1(v13))) & ! [v11] : ! [v12] : ( ~ (u2_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (u1_cat_1(v11) = v14 & u3_cat_1(v11) = v13 & m2_relset_1(v13, v12, v14) & v1_funct_2(v13, v12, v14) & v1_funct_1(v13))) & ! [v11] : ! [v12] : ( ~ (u2_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (u1_cat_1(v11) = v14 & u4_cat_1(v11) = v13 & m2_relset_1(v13, v12, v14) & v1_funct_2(v13, v12, v14) & v1_funct_1(v13))) & ! [v11] : ! [v12] : ( ~ (u2_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (u1_cat_1(v11) = v14 & u6_cat_1(v11) = v13 & m2_relset_1(v13, v14, v12) & v1_funct_2(v13, v14, v12) & v1_funct_1(v13))) & ! [v11] : ! [v12] : ( ~ (u3_cat_1(v11) = v12) | ~ l1_cat_1(v11) | v1_funct_1(v12)) & ! [v11] : ! [v12] : ( ~ (u3_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (u1_cat_1(v11) = v14 & u2_cat_1(v11) = v13 & m2_relset_1(v12, v13, v14) & v1_funct_2(v12, v13, v14))) & ! [v11] : ! [v12] : ( ~ (u4_cat_1(v11) = v12) | ~ l1_cat_1(v11) | v1_funct_1(v12)) & ! [v11] : ! [v12] : ( ~ (u4_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (u1_cat_1(v11) = v14 & u2_cat_1(v11) = v13 & m2_relset_1(v12, v13, v14) & v1_funct_2(v12, v13, v14))) & ! [v11] : ! [v12] : ( ~ (u5_cat_1(v11) = v12) | ~ l1_cat_1(v11) | v1_funct_1(v12)) & ! [v11] : ! [v12] : ( ~ (u5_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (k2_zfmisc_1(v13, v13) = v14 & u2_cat_1(v11) = v13 & m2_relset_1(v12, v14, v13))) & ! [v11] : ! [v12] : ( ~ (u6_cat_1(v11) = v12) | ~ l1_cat_1(v11) | v1_funct_1(v12)) & ! [v11] : ! [v12] : ( ~ (u6_cat_1(v11) = v12) | ~ l1_cat_1(v11) | ? [v13] : ? [v14] : (u1_cat_1(v11) = v13 & u2_cat_1(v11) = v14 & m2_relset_1(v12, v13, v14) & v1_funct_2(v12, v13, v14))) & ! [v11] : ! [v12] : ( ~ v1_xboole_0(v12) | ~ r2_hidden(v11, v12)) & ! [v11] : ! [v12] : ( ~ m1_subset_1(v11, v12) | v1_xboole_0(v12) | r2_hidden(v11, v12)) & ! [v11] : ! [v12] : ( ~ r2_hidden(v12, v11) | ~ r2_hidden(v11, v12)) & ! [v11] : ! [v12] : ( ~ r2_hidden(v11, v12) | m1_subset_1(v11, v12)) & ! [v11] : ! [v12] : ( ~ r1_isocat_1(v11, v12) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | r1_isocat_1(v12, v11)) & ! [v11] : ! [v12] : ( ~ r1_isocat_1(v11, v12) | ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | ? [v13] : (v8_cat_1(v13, v11, v12) & m2_cat_1(v13, v11, v12))) & ! [v11] : ! [v12] : ( ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | r1_isocat_1(v11, v11)) & ! [v11] : ! [v12] : ( ~ l1_cat_1(v12) | ~ l1_cat_1(v11) | ~ v2_cat_1(v12) | ~ v2_cat_1(v11) | ? [v13] : m2_cat_1(v13, v11, v12)) & ! [v11] : (v11 = k1_xboole_0 | ~ v1_xboole_0(v11)) & ? [v11] : ? [v12] : ? [v13] : m2_relset_1(v13, v11, v12) & ? [v11] : ? [v12] : ? [v13] : m1_relset_1(v13, v11, v12) & ? [v11] : ? [v12] : m1_subset_1(v12, v11) & ? [v11] : r1_tarski(v11, v11))
% 7.31/2.33 | 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 yields:
% 7.31/2.33 | (1) k12_nattra_1(all_0_10_10, all_0_6_6) = all_0_5_5 & k12_nattra_1(all_0_10_10, all_0_7_7) = all_0_4_4 & k12_nattra_1(all_0_10_10, all_0_9_9) = all_0_8_8 & k11_cat_2(all_0_8_8, all_0_4_4) = all_0_3_3 & k11_cat_2(all_0_9_9, all_0_7_7) = all_0_6_6 & v1_xboole_0(all_0_1_1) & v1_xboole_0(k1_xboole_0) & l1_cat_1(all_0_0_0) & l1_cat_1(all_0_7_7) & l1_cat_1(all_0_9_9) & l1_cat_1(all_0_10_10) & v2_cat_1(all_0_7_7) & v2_cat_1(all_0_9_9) & v2_cat_1(all_0_10_10) & ~ v1_xboole_0(all_0_2_2) & ~ r1_isocat_1(all_0_5_5, all_0_3_3) & ! [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] : (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] : ( ~ (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] : ( ~ (k12_nattra_1(v0, v4) = v5) | ~ (k12_nattra_1(v0, v1) = v2) | ~ (k11_cat_2(v1, v3) = v4) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v6] : ? [v7] : ? [v8] : (k17_isocat_2(v0, v1, v3) = v6 & k12_nattra_1(v0, v3) = v7 & k11_cat_2(v2, v7) = v8 & v8_cat_1(v6, v5, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k12_nattra_1(v0, v3) = v4) | ~ (k12_nattra_1(v0, v1) = v2) | ~ (k11_cat_2(v2, v4) = v5) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v6] : ? [v7] : ? [v8] : (k17_isocat_2(v0, v1, v3) = v6 & k12_nattra_1(v0, v7) = v8 & k11_cat_2(v1, v3) = v7 & v8_cat_1(v6, v8, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k12_nattra_1(v0, v2) = v4) | ~ (k12_nattra_1(v0, v1) = v3) | ~ (k11_cat_2(v3, v4) = v5) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v6] : ? [v7] : ? [v8] : (k17_isocat_2(v0, v1, v2) = v6 & k12_nattra_1(v0, v7) = v8 & k11_cat_2(v1, v2) = v7 & m2_cat_1(v6, v8, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k17_isocat_2(v4, v3, v2) = v1) | ~ (k17_isocat_2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k17_isocat_2(v0, v1, v3) = v4) | ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k12_nattra_1(v0, v5) = v6 & k12_nattra_1(v0, v3) = v7 & k11_cat_2(v2, v7) = v8 & k11_cat_2(v1, v3) = v5 & v8_cat_1(v4, v6, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k12_nattra_1(v0, v3) = v4) | ~ (k11_cat_2(v1, v2) = v3) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k17_isocat_2(v0, v1, v2) = v5 & k12_nattra_1(v0, v2) = v7 & k12_nattra_1(v0, v1) = v6 & k11_cat_2(v6, v7) = v8 & m2_cat_1(v5, v4, v8))) & ! [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] : (v1 = v0 | ~ (k12_nattra_1(v3, v2) = v1) | ~ (k12_nattra_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_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k17_isocat_2(v0, v1, v2) = v3) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k12_nattra_1(v0, v4) = v5 & k12_nattra_1(v0, v2) = v7 & k12_nattra_1(v0, v1) = v6 & k11_cat_2(v6, v7) = v8 & k11_cat_2(v1, v2) = v4 & m2_cat_1(v3, v5, v8))) & ! [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) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2)) & ? [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 | ~ (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] : ( ~ (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] : ( ~ (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_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] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [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] : ( ~ 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] : ( ~ v8_cat_1(v2, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r1_isocat_1(v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, 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] : ? [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] : ( ~ m1_subset_1(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] : ( ~ r1_isocat_1(v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r1_isocat_1(v1, v0)) & ! [v0] : ! [v1] : ( ~ r1_isocat_1(v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v2] : (v8_cat_1(v2, v0, v1) & m2_cat_1(v2, v0, v1))) & ! [v0] : ! [v1] : ( ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r1_isocat_1(v0, v0)) & ! [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] : (v0 = k1_xboole_0 | ~ v1_xboole_0(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)
% 7.31/2.35 |
% 7.31/2.35 | Applying alpha-rule on (1) yields:
% 7.31/2.35 | (2) ! [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)))
% 7.31/2.35 | (3) ! [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)))
% 7.31/2.35 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k12_nattra_1(v0, v3) = v4) | ~ (k12_nattra_1(v0, v1) = v2) | ~ (k11_cat_2(v2, v4) = v5) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v6] : ? [v7] : ? [v8] : (k17_isocat_2(v0, v1, v3) = v6 & k12_nattra_1(v0, v7) = v8 & k11_cat_2(v1, v3) = v7 & v8_cat_1(v6, v8, v5)))
% 7.31/2.35 | (5) v2_cat_1(all_0_10_10)
% 7.31/2.35 | (6) ! [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)))
% 7.31/2.35 | (7) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 7.31/2.35 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 7.31/2.35 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u6_cat_1(v2) = v1) | ~ (u6_cat_1(v2) = v0))
% 7.31/2.35 | (10) ? [v0] : r1_tarski(v0, v0)
% 7.31/2.35 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2))
% 7.31/2.35 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k17_isocat_2(v0, v1, v3) = v4) | ~ (k12_nattra_1(v0, v1) = v2) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k12_nattra_1(v0, v5) = v6 & k12_nattra_1(v0, v3) = v7 & k11_cat_2(v2, v7) = v8 & k11_cat_2(v1, v3) = v5 & v8_cat_1(v4, v6, v8)))
% 7.31/2.35 | (13) ! [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)))
% 7.31/2.36 | (14) ! [v0] : ! [v1] : ( ~ (u4_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1))
% 7.31/2.36 | (15) ! [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))
% 7.31/2.36 | (16) v1_xboole_0(all_0_1_1)
% 7.31/2.36 | (17) v1_xboole_0(k1_xboole_0)
% 7.31/2.36 | (18) ! [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))
% 7.31/2.36 | (19) ! [v0] : ! [v1] : ( ~ r1_isocat_1(v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r1_isocat_1(v1, v0))
% 7.31/2.36 | (20) ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0))
% 7.31/2.36 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 7.31/2.36 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 7.31/2.36 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u4_cat_1(v2) = v1) | ~ (u4_cat_1(v2) = v0))
% 7.31/2.36 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k17_isocat_2(v0, v1, v2) = v3) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k12_nattra_1(v0, v4) = v5 & k12_nattra_1(v0, v2) = v7 & k12_nattra_1(v0, v1) = v6 & k11_cat_2(v6, v7) = v8 & k11_cat_2(v1, v2) = v4 & m2_cat_1(v3, v5, v8)))
% 7.31/2.36 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k17_isocat_2(v4, v3, v2) = v1) | ~ (k17_isocat_2(v4, v3, v2) = v0))
% 7.31/2.36 | (26) ! [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))
% 7.31/2.36 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1))
% 7.31/2.36 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_cat_1(v2) = v1) | ~ (u1_cat_1(v2) = v0))
% 7.31/2.36 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 7.31/2.36 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ v8_cat_1(v2, v0, v1) | ~ m2_cat_1(v2, v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r1_isocat_1(v0, v1))
% 7.31/2.36 | (31) ! [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)))
% 7.31/2.36 | (32) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 7.31/2.36 | (33) k11_cat_2(all_0_8_8, all_0_4_4) = all_0_3_3
% 7.31/2.36 | (34) ! [v0] : ! [v1] : ( ~ (u6_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1))
% 7.31/2.36 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_cat_1(v2) = v1) | ~ (u2_cat_1(v2) = v0))
% 7.31/2.36 | (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))
% 7.31/2.36 | (37) ? [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)))
% 7.31/2.36 | (38) ! [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)))
% 7.31/2.36 | (39) ! [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))
% 7.31/2.36 | (40) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 7.31/2.36 | (41) k12_nattra_1(all_0_10_10, all_0_9_9) = all_0_8_8
% 7.31/2.36 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 7.31/2.36 | (43) v2_cat_1(all_0_7_7)
% 7.31/2.36 | (44) l1_cat_1(all_0_0_0)
% 7.31/2.37 | (45) ! [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))
% 7.31/2.37 | (46) ! [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)))
% 7.31/2.37 | (47) ! [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)))
% 7.31/2.37 | (48) ! [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))
% 7.31/2.37 | (49) ! [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)))
% 7.31/2.37 | (50) ! [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)))
% 7.31/2.37 | (51) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 7.31/2.37 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k12_nattra_1(v3, v2) = v1) | ~ (k12_nattra_1(v3, v2) = v0))
% 7.31/2.37 | (53) ! [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)))
% 7.31/2.37 | (54) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 7.31/2.37 | (55) ! [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))
% 7.31/2.37 | (56) ! [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))
% 7.31/2.37 | (57) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 7.31/2.37 | (58) ! [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)))
% 7.31/2.37 | (59) ! [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))
% 7.31/2.37 | (60) ! [v0] : ! [v1] : ( ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | r1_isocat_1(v0, v0))
% 7.31/2.37 | (61) ~ r1_isocat_1(all_0_5_5, all_0_3_3)
% 7.31/2.37 | (62) ! [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)))
% 7.31/2.38 | (63) k12_nattra_1(all_0_10_10, all_0_6_6) = all_0_5_5
% 7.31/2.38 | (64) ! [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)))
% 7.31/2.38 | (65) v2_cat_1(all_0_9_9)
% 7.31/2.38 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k12_nattra_1(v0, v2) = v4) | ~ (k12_nattra_1(v0, v1) = v3) | ~ (k11_cat_2(v3, v4) = v5) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v6] : ? [v7] : ? [v8] : (k17_isocat_2(v0, v1, v2) = v6 & k12_nattra_1(v0, v7) = v8 & k11_cat_2(v1, v2) = v7 & m2_cat_1(v6, v8, v5)))
% 7.31/2.38 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u5_cat_1(v2) = v1) | ~ (u5_cat_1(v2) = v0))
% 7.31/2.38 | (68) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 7.31/2.38 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k12_nattra_1(v0, v3) = v4) | ~ (k11_cat_2(v1, v2) = v3) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (k17_isocat_2(v0, v1, v2) = v5 & k12_nattra_1(v0, v2) = v7 & k12_nattra_1(v0, v1) = v6 & k11_cat_2(v6, v7) = v8 & m2_cat_1(v5, v4, v8)))
% 7.31/2.38 | (70) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 7.31/2.38 | (71) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 7.31/2.38 | (72) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k12_nattra_1(v0, v4) = v5) | ~ (k12_nattra_1(v0, v1) = v2) | ~ (k11_cat_2(v1, v3) = v4) | ~ l1_cat_1(v3) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v6] : ? [v7] : ? [v8] : (k17_isocat_2(v0, v1, v3) = v6 & k12_nattra_1(v0, v3) = v7 & k11_cat_2(v2, v7) = v8 & v8_cat_1(v6, v5, v8)))
% 7.31/2.38 | (73) l1_cat_1(all_0_9_9)
% 7.31/2.38 | (74) ! [v0] : ! [v1] : ( ~ (u3_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1))
% 7.31/2.38 | (75) l1_cat_1(all_0_10_10)
% 7.31/2.38 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u3_cat_1(v2) = v1) | ~ (u3_cat_1(v2) = v0))
% 7.31/2.38 | (77) ! [v0] : ! [v1] : ( ~ (u5_cat_1(v0) = v1) | ~ l1_cat_1(v0) | v1_funct_1(v1))
% 7.31/2.38 | (78) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 7.31/2.38 | (79) ! [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)))
% 7.31/2.38 | (80) ! [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)))
% 7.31/2.38 | (81) ! [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)))
% 7.31/2.38 | (82) ! [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)))
% 7.31/2.38 | (83) ! [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)))
% 7.31/2.38 | (84) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0))
% 7.31/2.38 | (85) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 7.31/2.38 | (86) ! [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)))
% 7.31/2.38 | (87) l1_cat_1(all_0_7_7)
% 7.31/2.38 | (88) ! [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))
% 7.31/2.38 | (89) ~ v1_xboole_0(all_0_2_2)
% 7.31/2.38 | (90) ! [v0] : ! [v1] : ( ~ r1_isocat_1(v0, v1) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v2] : (v8_cat_1(v2, v0, v1) & m2_cat_1(v2, v0, v1)))
% 7.31/2.38 | (91) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 7.31/2.38 | (92) ! [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)))
% 7.76/2.38 | (93) k12_nattra_1(all_0_10_10, all_0_7_7) = all_0_4_4
% 7.76/2.38 | (94) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 7.76/2.38 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 7.76/2.38 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k11_cat_2(v3, v2) = v1) | ~ (k11_cat_2(v3, v2) = v0))
% 7.76/2.38 | (97) k11_cat_2(all_0_9_9, all_0_7_7) = all_0_6_6
% 7.76/2.38 |
% 7.76/2.39 | Instantiating formula (48) with all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms k11_cat_2(all_0_9_9, all_0_7_7) = all_0_6_6, l1_cat_1(all_0_7_7), l1_cat_1(all_0_9_9), v2_cat_1(all_0_7_7), v2_cat_1(all_0_9_9), yields:
% 7.76/2.39 | (98) l1_cat_1(all_0_6_6)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (45) with all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms k11_cat_2(all_0_9_9, all_0_7_7) = all_0_6_6, l1_cat_1(all_0_7_7), l1_cat_1(all_0_9_9), v2_cat_1(all_0_7_7), v2_cat_1(all_0_9_9), yields:
% 7.76/2.39 | (99) v2_cat_1(all_0_6_6)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (72) with all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_6_6) = all_0_5_5, k12_nattra_1(all_0_10_10, all_0_9_9) = all_0_8_8, k11_cat_2(all_0_9_9, all_0_7_7) = all_0_6_6, l1_cat_1(all_0_7_7), l1_cat_1(all_0_9_9), l1_cat_1(all_0_10_10), v2_cat_1(all_0_7_7), v2_cat_1(all_0_9_9), v2_cat_1(all_0_10_10), yields:
% 7.76/2.39 | (100) ? [v0] : ? [v1] : ? [v2] : (k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = v0 & k12_nattra_1(all_0_10_10, all_0_7_7) = v1 & k11_cat_2(all_0_8_8, v1) = v2 & v8_cat_1(v0, all_0_5_5, v2))
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (69) with all_0_5_5, all_0_6_6, all_0_7_7, all_0_9_9, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_6_6) = all_0_5_5, k11_cat_2(all_0_9_9, all_0_7_7) = all_0_6_6, l1_cat_1(all_0_7_7), l1_cat_1(all_0_9_9), l1_cat_1(all_0_10_10), v2_cat_1(all_0_7_7), v2_cat_1(all_0_9_9), v2_cat_1(all_0_10_10), yields:
% 7.76/2.39 | (101) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = v0 & k12_nattra_1(all_0_10_10, all_0_7_7) = v2 & k12_nattra_1(all_0_10_10, all_0_9_9) = v1 & k11_cat_2(v1, v2) = v3 & m2_cat_1(v0, all_0_5_5, v3))
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (4) with all_0_3_3, all_0_4_4, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_7_7) = all_0_4_4, k12_nattra_1(all_0_10_10, all_0_9_9) = all_0_8_8, k11_cat_2(all_0_8_8, all_0_4_4) = all_0_3_3, l1_cat_1(all_0_7_7), l1_cat_1(all_0_9_9), l1_cat_1(all_0_10_10), v2_cat_1(all_0_7_7), v2_cat_1(all_0_9_9), v2_cat_1(all_0_10_10), yields:
% 7.76/2.39 | (102) ? [v0] : ? [v1] : ? [v2] : (k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = v0 & k12_nattra_1(all_0_10_10, v1) = v2 & k11_cat_2(all_0_9_9, all_0_7_7) = v1 & v8_cat_1(v0, v2, all_0_3_3))
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (66) with all_0_3_3, all_0_4_4, all_0_8_8, all_0_7_7, all_0_9_9, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_7_7) = all_0_4_4, k12_nattra_1(all_0_10_10, all_0_9_9) = all_0_8_8, k11_cat_2(all_0_8_8, all_0_4_4) = all_0_3_3, l1_cat_1(all_0_7_7), l1_cat_1(all_0_9_9), l1_cat_1(all_0_10_10), v2_cat_1(all_0_7_7), v2_cat_1(all_0_9_9), v2_cat_1(all_0_10_10), yields:
% 7.76/2.39 | (103) ? [v0] : ? [v1] : ? [v2] : (k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = v0 & k12_nattra_1(all_0_10_10, v1) = v2 & k11_cat_2(all_0_9_9, all_0_7_7) = v1 & m2_cat_1(v0, v2, all_0_3_3))
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (39) with all_0_4_4, all_0_7_7, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_7_7) = all_0_4_4, l1_cat_1(all_0_7_7), l1_cat_1(all_0_10_10), v2_cat_1(all_0_7_7), v2_cat_1(all_0_10_10), yields:
% 7.76/2.39 | (104) l1_cat_1(all_0_4_4)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (59) with all_0_4_4, all_0_7_7, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_7_7) = all_0_4_4, l1_cat_1(all_0_7_7), l1_cat_1(all_0_10_10), v2_cat_1(all_0_7_7), v2_cat_1(all_0_10_10), yields:
% 7.76/2.39 | (105) v2_cat_1(all_0_4_4)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (39) with all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_9_9) = all_0_8_8, l1_cat_1(all_0_9_9), l1_cat_1(all_0_10_10), v2_cat_1(all_0_9_9), v2_cat_1(all_0_10_10), yields:
% 7.76/2.39 | (106) l1_cat_1(all_0_8_8)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (59) with all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_9_9) = all_0_8_8, l1_cat_1(all_0_9_9), l1_cat_1(all_0_10_10), v2_cat_1(all_0_9_9), v2_cat_1(all_0_10_10), yields:
% 7.76/2.39 | (107) v2_cat_1(all_0_8_8)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating (102) with all_27_0_23, all_27_1_24, all_27_2_25 yields:
% 7.76/2.39 | (108) k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_27_2_25 & k12_nattra_1(all_0_10_10, all_27_1_24) = all_27_0_23 & k11_cat_2(all_0_9_9, all_0_7_7) = all_27_1_24 & v8_cat_1(all_27_2_25, all_27_0_23, all_0_3_3)
% 7.76/2.39 |
% 7.76/2.39 | Applying alpha-rule on (108) yields:
% 7.76/2.39 | (109) k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_27_2_25
% 7.76/2.39 | (110) k12_nattra_1(all_0_10_10, all_27_1_24) = all_27_0_23
% 7.76/2.39 | (111) k11_cat_2(all_0_9_9, all_0_7_7) = all_27_1_24
% 7.76/2.39 | (112) v8_cat_1(all_27_2_25, all_27_0_23, all_0_3_3)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating (103) with all_31_0_27, all_31_1_28, all_31_2_29 yields:
% 7.76/2.39 | (113) k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_31_2_29 & k12_nattra_1(all_0_10_10, all_31_1_28) = all_31_0_27 & k11_cat_2(all_0_9_9, all_0_7_7) = all_31_1_28 & m2_cat_1(all_31_2_29, all_31_0_27, all_0_3_3)
% 7.76/2.39 |
% 7.76/2.39 | Applying alpha-rule on (113) yields:
% 7.76/2.39 | (114) k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_31_2_29
% 7.76/2.39 | (115) k12_nattra_1(all_0_10_10, all_31_1_28) = all_31_0_27
% 7.76/2.39 | (116) k11_cat_2(all_0_9_9, all_0_7_7) = all_31_1_28
% 7.76/2.39 | (117) m2_cat_1(all_31_2_29, all_31_0_27, all_0_3_3)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating (101) with all_33_0_30, all_33_1_31, all_33_2_32, all_33_3_33 yields:
% 7.76/2.39 | (118) k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_33_3_33 & k12_nattra_1(all_0_10_10, all_0_7_7) = all_33_1_31 & k12_nattra_1(all_0_10_10, all_0_9_9) = all_33_2_32 & k11_cat_2(all_33_2_32, all_33_1_31) = all_33_0_30 & m2_cat_1(all_33_3_33, all_0_5_5, all_33_0_30)
% 7.76/2.39 |
% 7.76/2.39 | Applying alpha-rule on (118) yields:
% 7.76/2.39 | (119) k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_33_3_33
% 7.76/2.39 | (120) k12_nattra_1(all_0_10_10, all_0_9_9) = all_33_2_32
% 7.76/2.39 | (121) k12_nattra_1(all_0_10_10, all_0_7_7) = all_33_1_31
% 7.76/2.39 | (122) k11_cat_2(all_33_2_32, all_33_1_31) = all_33_0_30
% 7.76/2.39 | (123) m2_cat_1(all_33_3_33, all_0_5_5, all_33_0_30)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating (100) with all_41_0_37, all_41_1_38, all_41_2_39 yields:
% 7.76/2.39 | (124) k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_41_2_39 & k12_nattra_1(all_0_10_10, all_0_7_7) = all_41_1_38 & k11_cat_2(all_0_8_8, all_41_1_38) = all_41_0_37 & v8_cat_1(all_41_2_39, all_0_5_5, all_41_0_37)
% 7.76/2.39 |
% 7.76/2.39 | Applying alpha-rule on (124) yields:
% 7.76/2.39 | (125) k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_41_2_39
% 7.76/2.39 | (126) k12_nattra_1(all_0_10_10, all_0_7_7) = all_41_1_38
% 7.76/2.39 | (127) k11_cat_2(all_0_8_8, all_41_1_38) = all_41_0_37
% 7.76/2.39 | (128) v8_cat_1(all_41_2_39, all_0_5_5, all_41_0_37)
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (25) with all_0_10_10, all_0_9_9, all_0_7_7, all_33_3_33, all_41_2_39 and discharging atoms k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_41_2_39, k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_33_3_33, yields:
% 7.76/2.39 | (129) all_41_2_39 = all_33_3_33
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (25) with all_0_10_10, all_0_9_9, all_0_7_7, all_31_2_29, all_33_3_33 and discharging atoms k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_33_3_33, k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_31_2_29, yields:
% 7.76/2.39 | (130) all_33_3_33 = all_31_2_29
% 7.76/2.39 |
% 7.76/2.39 | Instantiating formula (25) with all_0_10_10, all_0_9_9, all_0_7_7, all_27_2_25, all_41_2_39 and discharging atoms k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_41_2_39, k17_isocat_2(all_0_10_10, all_0_9_9, all_0_7_7) = all_27_2_25, yields:
% 7.76/2.40 | (131) all_41_2_39 = all_27_2_25
% 7.76/2.40 |
% 7.76/2.40 | Instantiating formula (52) with all_0_10_10, all_0_7_7, all_41_1_38, all_0_4_4 and discharging atoms k12_nattra_1(all_0_10_10, all_0_7_7) = all_41_1_38, k12_nattra_1(all_0_10_10, all_0_7_7) = all_0_4_4, yields:
% 7.76/2.40 | (132) all_41_1_38 = all_0_4_4
% 7.76/2.40 |
% 7.76/2.40 | Instantiating formula (52) with all_0_10_10, all_0_7_7, all_33_1_31, all_41_1_38 and discharging atoms k12_nattra_1(all_0_10_10, all_0_7_7) = all_41_1_38, k12_nattra_1(all_0_10_10, all_0_7_7) = all_33_1_31, yields:
% 7.76/2.40 | (133) all_41_1_38 = all_33_1_31
% 7.76/2.40 |
% 7.76/2.40 | Instantiating formula (52) with all_0_10_10, all_0_9_9, all_33_2_32, all_0_8_8 and discharging atoms k12_nattra_1(all_0_10_10, all_0_9_9) = all_33_2_32, k12_nattra_1(all_0_10_10, all_0_9_9) = all_0_8_8, yields:
% 7.76/2.40 | (134) all_33_2_32 = all_0_8_8
% 7.76/2.40 |
% 7.76/2.40 | Instantiating formula (96) with all_0_9_9, all_0_7_7, all_31_1_28, all_0_6_6 and discharging atoms k11_cat_2(all_0_9_9, all_0_7_7) = all_31_1_28, k11_cat_2(all_0_9_9, all_0_7_7) = all_0_6_6, yields:
% 7.76/2.40 | (135) all_31_1_28 = all_0_6_6
% 7.76/2.40 |
% 7.76/2.40 | Instantiating formula (96) with all_0_9_9, all_0_7_7, all_27_1_24, all_31_1_28 and discharging atoms k11_cat_2(all_0_9_9, all_0_7_7) = all_31_1_28, k11_cat_2(all_0_9_9, all_0_7_7) = all_27_1_24, yields:
% 7.76/2.40 | (136) all_31_1_28 = all_27_1_24
% 7.76/2.40 |
% 7.76/2.40 | Combining equations (132,133) yields a new equation:
% 7.76/2.40 | (137) all_33_1_31 = all_0_4_4
% 7.76/2.40 |
% 7.76/2.40 | Combining equations (129,131) yields a new equation:
% 7.76/2.40 | (138) all_33_3_33 = all_27_2_25
% 7.76/2.40 |
% 7.76/2.40 | Simplifying 138 yields:
% 7.76/2.40 | (139) all_33_3_33 = all_27_2_25
% 7.76/2.40 |
% 7.76/2.40 | Combining equations (139,130) yields a new equation:
% 7.76/2.40 | (140) all_31_2_29 = all_27_2_25
% 7.76/2.40 |
% 7.76/2.40 | Combining equations (135,136) yields a new equation:
% 7.76/2.40 | (141) all_27_1_24 = all_0_6_6
% 7.76/2.40 |
% 7.76/2.40 | Combining equations (141,136) yields a new equation:
% 7.76/2.40 | (135) all_31_1_28 = all_0_6_6
% 7.76/2.40 |
% 7.76/2.40 | Combining equations (140,130) yields a new equation:
% 7.76/2.40 | (139) all_33_3_33 = all_27_2_25
% 7.76/2.40 |
% 7.76/2.40 | Combining equations (137,133) yields a new equation:
% 7.76/2.40 | (132) all_41_1_38 = all_0_4_4
% 7.76/2.40 |
% 7.76/2.40 | From (135) and (115) follows:
% 7.76/2.40 | (145) k12_nattra_1(all_0_10_10, all_0_6_6) = all_31_0_27
% 7.84/2.40 |
% 7.84/2.40 | From (141) and (110) follows:
% 7.84/2.40 | (146) k12_nattra_1(all_0_10_10, all_0_6_6) = all_27_0_23
% 7.84/2.40 |
% 7.84/2.40 | From (134)(137) and (122) follows:
% 7.84/2.40 | (147) k11_cat_2(all_0_8_8, all_0_4_4) = all_33_0_30
% 7.84/2.40 |
% 7.84/2.40 | From (132) and (127) follows:
% 7.84/2.40 | (148) k11_cat_2(all_0_8_8, all_0_4_4) = all_41_0_37
% 7.84/2.40 |
% 7.84/2.40 | From (131) and (128) follows:
% 7.84/2.40 | (149) v8_cat_1(all_27_2_25, all_0_5_5, all_41_0_37)
% 7.84/2.40 |
% 7.84/2.40 | From (139) and (123) follows:
% 7.84/2.40 | (150) m2_cat_1(all_27_2_25, all_0_5_5, all_33_0_30)
% 7.84/2.40 |
% 7.84/2.40 | Instantiating formula (52) with all_0_10_10, all_0_6_6, all_31_0_27, all_0_5_5 and discharging atoms k12_nattra_1(all_0_10_10, all_0_6_6) = all_31_0_27, k12_nattra_1(all_0_10_10, all_0_6_6) = all_0_5_5, yields:
% 7.84/2.40 | (151) all_31_0_27 = all_0_5_5
% 7.84/2.40 |
% 7.84/2.40 | Instantiating formula (52) with all_0_10_10, all_0_6_6, all_27_0_23, all_31_0_27 and discharging atoms k12_nattra_1(all_0_10_10, all_0_6_6) = all_31_0_27, k12_nattra_1(all_0_10_10, all_0_6_6) = all_27_0_23, yields:
% 7.84/2.40 | (152) all_31_0_27 = all_27_0_23
% 7.84/2.40 |
% 7.84/2.40 | Instantiating formula (96) with all_0_8_8, all_0_4_4, all_41_0_37, all_0_3_3 and discharging atoms k11_cat_2(all_0_8_8, all_0_4_4) = all_41_0_37, k11_cat_2(all_0_8_8, all_0_4_4) = all_0_3_3, yields:
% 7.84/2.40 | (153) all_41_0_37 = all_0_3_3
% 7.84/2.40 |
% 7.84/2.40 | Instantiating formula (96) with all_0_8_8, all_0_4_4, all_33_0_30, all_41_0_37 and discharging atoms k11_cat_2(all_0_8_8, all_0_4_4) = all_41_0_37, k11_cat_2(all_0_8_8, all_0_4_4) = all_33_0_30, yields:
% 7.84/2.40 | (154) all_41_0_37 = all_33_0_30
% 7.84/2.40 |
% 7.84/2.40 | Combining equations (153,154) yields a new equation:
% 7.84/2.40 | (155) all_33_0_30 = all_0_3_3
% 7.84/2.40 |
% 7.84/2.40 | Combining equations (151,152) yields a new equation:
% 7.84/2.40 | (156) all_27_0_23 = all_0_5_5
% 7.84/2.40 |
% 7.84/2.40 | Combining equations (155,154) yields a new equation:
% 7.84/2.40 | (153) all_41_0_37 = all_0_3_3
% 7.84/2.40 |
% 7.84/2.40 | From (156) and (146) follows:
% 7.84/2.40 | (63) k12_nattra_1(all_0_10_10, all_0_6_6) = all_0_5_5
% 7.84/2.40 |
% 7.84/2.40 | From (155) and (147) follows:
% 7.84/2.40 | (33) k11_cat_2(all_0_8_8, all_0_4_4) = all_0_3_3
% 7.84/2.40 |
% 7.84/2.40 | From (153) and (149) follows:
% 7.84/2.40 | (160) v8_cat_1(all_27_2_25, all_0_5_5, all_0_3_3)
% 7.84/2.40 |
% 7.84/2.40 | From (155) and (150) follows:
% 7.84/2.40 | (161) m2_cat_1(all_27_2_25, all_0_5_5, all_0_3_3)
% 7.84/2.40 |
% 7.84/2.40 | Instantiating formula (39) with all_0_5_5, all_0_6_6, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_6_6) = all_0_5_5, l1_cat_1(all_0_6_6), l1_cat_1(all_0_10_10), v2_cat_1(all_0_6_6), v2_cat_1(all_0_10_10), yields:
% 7.84/2.40 | (162) l1_cat_1(all_0_5_5)
% 7.84/2.40 |
% 7.84/2.40 | Instantiating formula (59) with all_0_5_5, all_0_6_6, all_0_10_10 and discharging atoms k12_nattra_1(all_0_10_10, all_0_6_6) = all_0_5_5, l1_cat_1(all_0_6_6), l1_cat_1(all_0_10_10), v2_cat_1(all_0_6_6), v2_cat_1(all_0_10_10), yields:
% 7.84/2.40 | (163) v2_cat_1(all_0_5_5)
% 7.84/2.40 |
% 7.84/2.40 | Instantiating formula (48) with all_0_3_3, all_0_4_4, all_0_8_8 and discharging atoms k11_cat_2(all_0_8_8, all_0_4_4) = all_0_3_3, l1_cat_1(all_0_4_4), l1_cat_1(all_0_8_8), v2_cat_1(all_0_4_4), v2_cat_1(all_0_8_8), yields:
% 7.84/2.40 | (164) l1_cat_1(all_0_3_3)
% 7.84/2.40 |
% 7.84/2.40 | Instantiating formula (45) with all_0_3_3, all_0_4_4, all_0_8_8 and discharging atoms k11_cat_2(all_0_8_8, all_0_4_4) = all_0_3_3, l1_cat_1(all_0_4_4), l1_cat_1(all_0_8_8), v2_cat_1(all_0_4_4), v2_cat_1(all_0_8_8), yields:
% 7.84/2.40 | (165) v2_cat_1(all_0_3_3)
% 7.84/2.40 |
% 7.84/2.40 | Instantiating formula (30) with all_27_2_25, all_0_3_3, all_0_5_5 and discharging atoms v8_cat_1(all_27_2_25, all_0_5_5, all_0_3_3), m2_cat_1(all_27_2_25, all_0_5_5, all_0_3_3), l1_cat_1(all_0_3_3), l1_cat_1(all_0_5_5), v2_cat_1(all_0_3_3), v2_cat_1(all_0_5_5), ~ r1_isocat_1(all_0_5_5, all_0_3_3), yields:
% 7.84/2.40 | (166) $false
% 7.84/2.40 |
% 7.84/2.40 |-The branch is then unsatisfiable
% 7.84/2.40 % SZS output end Proof for theBenchmark
% 7.84/2.40
% 7.84/2.40 1829ms
%------------------------------------------------------------------------------