TSTP Solution File: CAT027+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CAT027+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.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 23:59:08 EDT 2022
% Result : Theorem 8.63s 2.55s
% Output : Proof 17.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT027+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon May 30 00:17:12 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.57 ____ _
% 0.19/0.57 ___ / __ \_____(_)___ ________ __________
% 0.19/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.57
% 0.19/0.57 A Theorem Prover for First-Order Logic
% 0.19/0.57 (ePrincess v.1.0)
% 0.19/0.57
% 0.19/0.57 (c) Philipp Rümmer, 2009-2015
% 0.19/0.57 (c) Peter Backeman, 2014-2015
% 0.19/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.57 Bug reports to peter@backeman.se
% 0.59/0.57
% 0.59/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.57
% 0.59/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.63/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.94/1.00 Prover 0: Preprocessing ...
% 3.77/1.44 Prover 0: Warning: ignoring some quantifiers
% 4.13/1.48 Prover 0: Constructing countermodel ...
% 8.63/2.54 Prover 0: proved (1929ms)
% 8.63/2.55
% 8.63/2.55 No countermodel exists, formula is valid
% 8.63/2.55 % SZS status Theorem for theBenchmark
% 8.63/2.55
% 8.63/2.55 Generating proof ... Warning: ignoring some quantifiers
% 16.07/4.29 found it (size 292)
% 16.07/4.29
% 16.07/4.29 % SZS output start Proof for theBenchmark
% 16.07/4.29 Assumed formulas after preprocessing and simplification:
% 16.07/4.29 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (k14_isocat_2(v0, v2, v4, v7, v7, v10) = v14 & k13_isocat_2(v0, v2, v4, v7, v7, v10) = v11 & k12_isocat_2(v0, v2, v4, v7) = v12 & k11_isocat_2(v0, v2, v4, v7) = v8 & k7_nattra_1(v0, v5, v7) = v10 & k7_nattra_1(v0, v4, v12) = v13 & k7_nattra_1(v0, v2, v8) = v9 & u1_cat_1(v0) = v1 & u2_cat_1(v4) = v6 & u2_cat_1(v2) = v3 & k11_cat_2(v2, v4) = v5 & v1_xboole_0(v17) & v1_xboole_0(k1_xboole_0) & m2_cat_1(v7, v0, v5) & l1_cat_1(v15) & l1_cat_1(v4) & l1_cat_1(v2) & l1_cat_1(v0) & v2_cat_1(v4) & v2_cat_1(v2) & v2_cat_1(v0) & ~ v1_xboole_0(v16) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (k7_nattra_1(v18, v21, v26) = v27) | ~ (k7_nattra_1(v18, v20, v23) = v24) | ~ (k2_isocat_1(v18, v20, v21, v23, v25) = v26) | ~ (u1_cat_1(v18) = v19) | ~ (u2_cat_1(v21) = v22) | ~ m2_cat_1(v25, v20, v21) | ~ m2_cat_1(v23, v18, v20) | ~ l1_cat_1(v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v18) | ~ v2_cat_1(v21) | ~ v2_cat_1(v20) | ~ v2_cat_1(v18) | ? [v28] : (k6_isocat_1(v18, v20, v21, v23, v23, v24, v25) = v28 & r4_nattra_1(v19, v22, v19, v22, v28, v27))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v19 = v18 | ~ (k6_isocat_1(v26, v25, v24, v23, v22, v21, v20) = v19) | ~ (k6_isocat_1(v26, v25, v24, v23, v22, v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k6_isocat_1(v18, v20, v21, v23, v23, v24, v25) = v26) | ~ (k7_nattra_1(v18, v20, v23) = v24) | ~ (u1_cat_1(v18) = v19) | ~ (u2_cat_1(v21) = v22) | ~ m2_cat_1(v25, v20, v21) | ~ m2_cat_1(v23, v18, v20) | ~ l1_cat_1(v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v18) | ~ v2_cat_1(v21) | ~ v2_cat_1(v20) | ~ v2_cat_1(v18) | ? [v27] : ? [v28] : (k7_nattra_1(v18, v21, v27) = v28 & k2_isocat_1(v18, v20, v21, v23, v25) = v27 & r4_nattra_1(v19, v22, v19, v22, v26, v28))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = v18 | ~ (k14_isocat_2(v25, v24, v23, v22, v21, v20) = v19) | ~ (k14_isocat_2(v25, v24, v23, v22, v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v19 = v18 | ~ (k13_isocat_2(v25, v24, v23, v22, v21, v20) = v19) | ~ (k13_isocat_2(v25, v24, v23, v22, v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k6_isocat_1(v18, v19, v20, v21, v22, v23, v24) = v25) | ~ m2_nattra_1(v23, v18, v19, v21, v22) | ~ m2_cat_1(v24, v19, v20) | ~ m2_cat_1(v22, v18, v19) | ~ m2_cat_1(v21, v18, v19) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v26] : ? [v27] : (k2_isocat_1(v18, v19, v20, v22, v24) = v27 & k2_isocat_1(v18, v19, v20, v21, v24) = v26 & m2_nattra_1(v25, v18, v20, v26, v27))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v19 = v18 | ~ (k2_isocat_1(v24, v23, v22, v21, v20) = v19) | ~ (k2_isocat_1(v24, v23, v22, v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (k14_isocat_2(v18, v19, v20, v21, v22, v23) = v24) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v25] : ? [v26] : ? [v27] : (k12_isocat_2(v18, v19, v20, v22) = v27 & k12_isocat_2(v18, v19, v20, v21) = v26 & k11_cat_2(v19, v20) = v25 & ( ~ m2_nattra_1(v23, v18, v25, v21, v22) | ~ m2_cat_1(v22, v18, v25) | ~ m2_cat_1(v21, v18, v25) | m2_nattra_1(v24, v18, v20, v26, v27)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (k13_isocat_2(v18, v19, v20, v21, v22, v23) = v24) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v25] : ? [v26] : ? [v27] : (k11_isocat_2(v18, v19, v20, v22) = v27 & k11_isocat_2(v18, v19, v20, v21) = v26 & k11_cat_2(v19, v20) = v25 & ( ~ m2_nattra_1(v23, v18, v25, v21, v22) | ~ m2_cat_1(v22, v18, v25) | ~ m2_cat_1(v21, v18, v25) | m2_nattra_1(v24, v18, v19, v26, v27)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (u1_cat_1(v18) = v22) | ~ (u2_cat_1(v19) = v23) | ~ m1_nattra_1(v24, v18, v19, v20, v21) | ~ m2_cat_1(v21, v18, v19) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | m2_relset_1(v24, v22, v23)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (u1_cat_1(v18) = v22) | ~ (u2_cat_1(v19) = v23) | ~ m1_nattra_1(v24, v18, v19, v20, v21) | ~ m2_cat_1(v21, v18, v19) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | v1_funct_2(v24, v22, v23)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (u1_cat_1(v18) = v22) | ~ (u2_cat_1(v19) = v23) | ~ m1_nattra_1(v24, v18, v19, v20, v21) | ~ m2_cat_1(v21, v18, v19) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | v1_funct_1(v24)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ m1_relset_1(v23, v20, v21) | ~ m1_relset_1(v22, v18, v19) | ~ v1_funct_2(v23, v20, v21) | ~ v1_funct_2(v22, v18, v19) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ r4_nattra_1(v18, v19, v20, v21, v22, v23) | v1_xboole_0(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | v1_xboole_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v18 | ~ (k12_isocat_2(v23, v22, v21, v20) = v19) | ~ (k12_isocat_2(v23, v22, v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v19 = v18 | ~ (k11_isocat_2(v23, v22, v21, v20) = v19) | ~ (k11_isocat_2(v23, v22, v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (k2_isocat_1(v18, v19, v20, v21, v22) = v23) | ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v18, v19) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | k5_relat_1(v21, v22) = v23) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (k2_isocat_1(v18, v19, v20, v21, v22) = v23) | ~ m2_cat_1(v22, v19, v20) | ~ m2_cat_1(v21, v18, v19) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | m2_cat_1(v23, v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ m1_relset_1(v23, v20, v21) | ~ m1_relset_1(v22, v18, v19) | ~ v1_funct_2(v23, v20, v21) | ~ v1_funct_2(v22, v18, v19) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ r4_nattra_1(v18, v19, v20, v21, v22, v23) | v1_xboole_0(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | v1_xboole_0(v18) | r4_nattra_1(v18, v19, v20, v21, v23, v22)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ m1_relset_1(v23, v20, v21) | ~ m1_relset_1(v22, v18, v19) | ~ v1_funct_2(v23, v20, v21) | ~ v1_funct_2(v22, v18, v19) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | v1_xboole_0(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | v1_xboole_0(v18) | r4_nattra_1(v18, v19, v20, v21, v22, v22)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v18 | ~ (k7_nattra_1(v22, v21, v20) = v19) | ~ (k7_nattra_1(v22, v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v18 | ~ (k4_nattra_1(v22, v21, v20) = v19) | ~ (k4_nattra_1(v22, v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k12_isocat_2(v18, v19, v20, v21) = v22) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | m2_cat_1(v22, v18, v20) | ? [v23] : (k11_cat_2(v19, v20) = v23 & ~ m2_cat_1(v21, v18, v23))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k11_isocat_2(v18, v19, v20, v21) = v22) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | m2_cat_1(v22, v18, v19) | ? [v23] : (k11_cat_2(v19, v20) = v23 & ~ m2_cat_1(v21, v18, v23))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u2_cat_1(v19) = v21) | ~ (u2_cat_1(v18) = v20) | ~ m2_cat_1(v22, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | m2_relset_1(v22, v20, v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u2_cat_1(v19) = v21) | ~ (u2_cat_1(v18) = v20) | ~ m2_cat_1(v22, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | v1_funct_2(v22, v20, v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u2_cat_1(v19) = v21) | ~ (u2_cat_1(v18) = v20) | ~ m2_cat_1(v22, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | v1_funct_1(v22)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ m2_nattra_1(v22, v18, v19, v20, v21) | ~ m2_cat_1(v21, v18, v19) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | m1_nattra_1(v22, v18, v19, v20, v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ m1_relset_1(v22, v20, v21) | ~ m1_relset_1(v22, v18, v19) | ~ v1_funct_2(v22, v20, v21) | ~ v1_funct_2(v22, v18, v19) | ~ v1_funct_1(v22) | v1_xboole_0(v21) | v1_xboole_0(v20) | v1_xboole_0(v19) | v1_xboole_0(v18) | r4_nattra_1(v18, v19, v20, v21, v22, v22)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (k5_relat_1(v21, v20) = v19) | ~ (k5_relat_1(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (k9_isocat_2(v21, v20) = v19) | ~ (k9_isocat_2(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (k8_isocat_2(v21, v20) = v19) | ~ (k8_isocat_2(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (k2_zfmisc_1(v21, v20) = v19) | ~ (k2_zfmisc_1(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (k17_cat_2(v21, v20) = v19) | ~ (k17_cat_2(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (k11_cat_2(v21, v20) = v19) | ~ (k11_cat_2(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (k16_cat_2(v21, v20) = v19) | ~ (k16_cat_2(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k7_nattra_1(v18, v19, v20) = v21) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | k4_nattra_1(v18, v19, v20) = v21) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k7_nattra_1(v18, v19, v20) = v21) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | m2_nattra_1(v21, v18, v19, v20, v20)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k4_nattra_1(v18, v19, v20) = v21) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | k7_nattra_1(v18, v19, v20) = v21) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k4_nattra_1(v18, v19, v20) = v21) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | m1_nattra_1(v21, v18, v19, v20, v20)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k9_isocat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : (k11_cat_2(v19, v20) = v22 & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k6_isocat_1(v18, v22, v20, v23, v24, v25, v21) = v26) | ~ m2_nattra_1(v25, v18, v22, v23, v24) | ~ m2_cat_1(v24, v18, v22) | ~ m2_cat_1(v23, v18, v22) | k14_isocat_2(v18, v19, v20, v23, v24, v25) = v26) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k14_isocat_2(v18, v19, v20, v23, v24, v25) = v26) | ~ m2_nattra_1(v25, v18, v22, v23, v24) | ~ m2_cat_1(v24, v18, v22) | ~ m2_cat_1(v23, v18, v22) | k6_isocat_1(v18, v22, v20, v23, v24, v25, v21) = v26))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k9_isocat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : (k11_cat_2(v19, v20) = v22 & ! [v23] : ! [v24] : ( ~ (k12_isocat_2(v18, v19, v20, v23) = v24) | ~ m2_cat_1(v23, v18, v22) | k2_isocat_1(v18, v22, v20, v23, v21) = v24) & ! [v23] : ! [v24] : ( ~ (k2_isocat_1(v18, v22, v20, v23, v21) = v24) | ~ m2_cat_1(v23, v18, v22) | k12_isocat_2(v18, v19, v20, v23) = v24))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_isocat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : (k11_cat_2(v19, v20) = v22 & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k6_isocat_1(v18, v22, v19, v23, v24, v25, v21) = v26) | ~ m2_nattra_1(v25, v18, v22, v23, v24) | ~ m2_cat_1(v24, v18, v22) | ~ m2_cat_1(v23, v18, v22) | k13_isocat_2(v18, v19, v20, v23, v24, v25) = v26) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k13_isocat_2(v18, v19, v20, v23, v24, v25) = v26) | ~ m2_nattra_1(v25, v18, v22, v23, v24) | ~ m2_cat_1(v24, v18, v22) | ~ m2_cat_1(v23, v18, v22) | k6_isocat_1(v18, v22, v19, v23, v24, v25, v21) = v26))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k8_isocat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : (k11_cat_2(v19, v20) = v22 & ! [v23] : ! [v24] : ( ~ (k11_isocat_2(v18, v19, v20, v23) = v24) | ~ m2_cat_1(v23, v18, v22) | k2_isocat_1(v18, v22, v19, v23, v21) = v24) & ! [v23] : ! [v24] : ( ~ (k2_isocat_1(v18, v22, v19, v23, v21) = v24) | ~ m2_cat_1(v23, v18, v22) | k11_isocat_2(v18, v19, v20, v23) = v24))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v18, v19) = v21) | ~ m2_relset_1(v20, v18, v19) | ? [v22] : (k1_zfmisc_1(v21) = v22 & m1_subset_1(v20, v22))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) | ~ v1_xboole_0(v20) | ~ m1_subset_1(v19, v21) | ~ r2_hidden(v18, v19)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) | ~ m1_subset_1(v19, v21) | ~ r2_hidden(v18, v19) | m1_subset_1(v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k11_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : (k9_isocat_2(v19, v20) = v22 & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k6_isocat_1(v18, v21, v20, v23, v24, v25, v22) = v26) | ~ m2_nattra_1(v25, v18, v21, v23, v24) | ~ m2_cat_1(v24, v18, v21) | ~ m2_cat_1(v23, v18, v21) | k14_isocat_2(v18, v19, v20, v23, v24, v25) = v26) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k14_isocat_2(v18, v19, v20, v23, v24, v25) = v26) | ~ m2_nattra_1(v25, v18, v21, v23, v24) | ~ m2_cat_1(v24, v18, v21) | ~ m2_cat_1(v23, v18, v21) | k6_isocat_1(v18, v21, v20, v23, v24, v25, v22) = v26))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k11_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : (k9_isocat_2(v19, v20) = v22 & ! [v23] : ! [v24] : ( ~ (k12_isocat_2(v18, v19, v20, v23) = v24) | ~ m2_cat_1(v23, v18, v21) | k2_isocat_1(v18, v21, v20, v23, v22) = v24) & ! [v23] : ! [v24] : ( ~ (k2_isocat_1(v18, v21, v20, v23, v22) = v24) | ~ m2_cat_1(v23, v18, v21) | k12_isocat_2(v18, v19, v20, v23) = v24))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k11_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : (k8_isocat_2(v19, v20) = v22 & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k6_isocat_1(v18, v21, v19, v23, v24, v25, v22) = v26) | ~ m2_nattra_1(v25, v18, v21, v23, v24) | ~ m2_cat_1(v24, v18, v21) | ~ m2_cat_1(v23, v18, v21) | k13_isocat_2(v18, v19, v20, v23, v24, v25) = v26) & ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k13_isocat_2(v18, v19, v20, v23, v24, v25) = v26) | ~ m2_nattra_1(v25, v18, v21, v23, v24) | ~ m2_cat_1(v24, v18, v21) | ~ m2_cat_1(v23, v18, v21) | k6_isocat_1(v18, v21, v19, v23, v24, v25, v22) = v26))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k11_cat_2(v19, v20) = v21) | ~ l1_cat_1(v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v20) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : (k8_isocat_2(v19, v20) = v22 & ! [v23] : ! [v24] : ( ~ (k11_isocat_2(v18, v19, v20, v23) = v24) | ~ m2_cat_1(v23, v18, v21) | k2_isocat_1(v18, v21, v19, v23, v22) = v24) & ! [v23] : ! [v24] : ( ~ (k2_isocat_1(v18, v21, v19, v23, v22) = v24) | ~ m2_cat_1(v23, v18, v21) | k11_isocat_2(v18, v19, v20, v23) = v24))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ m2_cat_1(v21, v18, v19) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : m2_nattra_1(v22, v18, v19, v20, v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ m2_cat_1(v21, v18, v19) | ~ m2_cat_1(v20, v18, v19) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v22] : m1_nattra_1(v22, v18, v19, v20, v21)) & ? [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v19, v20) = v21) | v1_relat_1(v18) | ? [v22] : (k1_zfmisc_1(v21) = v22 & ~ m1_subset_1(v18, v22))) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (k1_zfmisc_1(v20) = v19) | ~ (k1_zfmisc_1(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (u1_cat_1(v20) = v19) | ~ (u1_cat_1(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (u2_cat_1(v20) = v19) | ~ (u2_cat_1(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k5_relat_1(v18, v19) = v20) | ~ v1_relat_1(v19) | ~ v1_relat_1(v18) | v1_relat_1(v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k9_isocat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | k17_cat_2(v18, v19) = v20) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k9_isocat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v21] : (k11_cat_2(v18, v19) = v21 & m2_cat_1(v20, v21, v19))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k8_isocat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | k16_cat_2(v18, v19) = v20) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k8_isocat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v21] : (k11_cat_2(v18, v19) = v21 & m2_cat_1(v20, v21, v18))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k2_zfmisc_1(v18, v19) = v20) | ~ v1_xboole_0(v20) | v1_xboole_0(v19) | v1_xboole_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k1_zfmisc_1(v19) = v20) | ~ m1_subset_1(v18, v20) | r1_tarski(v18, v19)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k1_zfmisc_1(v19) = v20) | ~ r1_tarski(v18, v19) | m1_subset_1(v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k17_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | k9_isocat_2(v18, v19) = v20) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k17_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v21] : (k11_cat_2(v18, v19) = v21 & m2_cat_1(v20, v21, v19))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k11_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | l1_cat_1(v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k11_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | v2_cat_1(v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k11_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v21] : (k9_isocat_2(v18, v19) = v21 & m2_cat_1(v21, v20, v19))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k11_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v21] : (k8_isocat_2(v18, v19) = v21 & m2_cat_1(v21, v20, v18))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k11_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v21] : (k17_cat_2(v18, v19) = v21 & m2_cat_1(v21, v20, v19))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k11_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v21] : (k16_cat_2(v18, v19) = v21 & m2_cat_1(v21, v20, v18))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k16_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | k8_isocat_2(v18, v19) = v20) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k16_cat_2(v18, v19) = v20) | ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v21] : (k11_cat_2(v18, v19) = v21 & m2_cat_1(v20, v21, v18))) & ! [v18] : ! [v19] : ! [v20] : ( ~ m1_relset_1(v20, v18, v19) | m2_relset_1(v20, v18, v19)) & ! [v18] : ! [v19] : ! [v20] : ( ~ m2_relset_1(v20, v18, v19) | m1_relset_1(v20, v18, v19)) & ! [v18] : ! [v19] : (v19 = v18 | ~ v1_xboole_0(v19) | ~ v1_xboole_0(v18)) & ! [v18] : ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) | ~ v1_xboole_0(v19)) & ! [v18] : ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) | v1_xboole_0(v18) | ? [v20] : (m1_subset_1(v20, v19) & ~ v1_xboole_0(v20))) & ! [v18] : ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) | ? [v20] : (v1_xboole_0(v20) & m1_subset_1(v20, v19))) & ! [v18] : ! [v19] : ( ~ (u1_cat_1(v18) = v19) | ~ v1_xboole_0(v19) | ~ l1_cat_1(v18)) & ! [v18] : ! [v19] : ( ~ (u2_cat_1(v18) = v19) | ~ v1_xboole_0(v19) | ~ l1_cat_1(v18)) & ! [v18] : ! [v19] : ( ~ v1_xboole_0(v19) | ~ r2_hidden(v18, v19)) & ! [v18] : ! [v19] : ( ~ m1_subset_1(v18, v19) | v1_xboole_0(v19) | r2_hidden(v18, v19)) & ! [v18] : ! [v19] : ( ~ r2_hidden(v19, v18) | ~ r2_hidden(v18, v19)) & ! [v18] : ! [v19] : ( ~ r2_hidden(v18, v19) | m1_subset_1(v18, v19)) & ! [v18] : ! [v19] : ( ~ l1_cat_1(v19) | ~ l1_cat_1(v18) | ~ v2_cat_1(v19) | ~ v2_cat_1(v18) | ? [v20] : m2_cat_1(v20, v18, v19)) & ! [v18] : (v18 = k1_xboole_0 | ~ v1_xboole_0(v18)) & ? [v18] : ? [v19] : ? [v20] : m1_relset_1(v20, v18, v19) & ? [v18] : ? [v19] : ? [v20] : m2_relset_1(v20, v18, v19) & ? [v18] : ? [v19] : m1_subset_1(v19, v18) & ? [v18] : r1_tarski(v18, v18) & ( ~ r4_nattra_1(v1, v6, v1, v6, v13, v14) | ~ r4_nattra_1(v1, v3, v1, v3, v9, v11)))
% 16.62/4.37 | 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 yields:
% 16.62/4.37 | (1) k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_0_3_3 & k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_0_6_6 & k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_5_5 & k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_9_9 & k7_nattra_1(all_0_17_17, all_0_12_12, all_0_10_10) = all_0_7_7 & k7_nattra_1(all_0_17_17, all_0_13_13, all_0_5_5) = all_0_4_4 & k7_nattra_1(all_0_17_17, all_0_15_15, all_0_9_9) = all_0_8_8 & u1_cat_1(all_0_17_17) = all_0_16_16 & u2_cat_1(all_0_13_13) = all_0_11_11 & u2_cat_1(all_0_15_15) = all_0_14_14 & k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12 & v1_xboole_0(all_0_0_0) & v1_xboole_0(k1_xboole_0) & m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12) & l1_cat_1(all_0_2_2) & l1_cat_1(all_0_13_13) & l1_cat_1(all_0_15_15) & l1_cat_1(all_0_17_17) & v2_cat_1(all_0_13_13) & v2_cat_1(all_0_15_15) & v2_cat_1(all_0_17_17) & ~ v1_xboole_0(all_0_1_1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (k7_nattra_1(v0, v3, v8) = v9) | ~ (k7_nattra_1(v0, v2, v5) = v6) | ~ (k2_isocat_1(v0, v2, v3, v5, v7) = v8) | ~ (u1_cat_1(v0) = v1) | ~ (u2_cat_1(v3) = v4) | ~ m2_cat_1(v7, v2, v3) | ~ m2_cat_1(v5, v0, v2) | ~ l1_cat_1(v3) | ~ l1_cat_1(v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v2) | ~ v2_cat_1(v0) | ? [v10] : (k6_isocat_1(v0, v2, v3, v5, v5, v6, v7) = v10 & r4_nattra_1(v1, v4, v1, v4, v10, v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v1 = v0 | ~ (k6_isocat_1(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (k6_isocat_1(v8, v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v2, v3, v5, v5, v6, v7) = v8) | ~ (k7_nattra_1(v0, v2, v5) = v6) | ~ (u1_cat_1(v0) = v1) | ~ (u2_cat_1(v3) = v4) | ~ m2_cat_1(v7, v2, v3) | ~ m2_cat_1(v5, v0, v2) | ~ l1_cat_1(v3) | ~ l1_cat_1(v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v2) | ~ v2_cat_1(v0) | ? [v9] : ? [v10] : (k7_nattra_1(v0, v3, v9) = v10 & k2_isocat_1(v0, v2, v3, v5, v7) = v9 & r4_nattra_1(v1, v4, v1, v4, v8, v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k14_isocat_2(v7, v6, v5, v4, v3, v2) = v1) | ~ (k14_isocat_2(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k13_isocat_2(v7, v6, v5, v4, v3, v2) = v1) | ~ (k13_isocat_2(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (k6_isocat_1(v0, v1, v2, v3, v4, v5, v6) = v7) | ~ m2_nattra_1(v5, v0, v1, v3, v4) | ~ m2_cat_1(v6, v1, v2) | ~ m2_cat_1(v4, v0, v1) | ~ m2_cat_1(v3, v0, v1) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v8] : ? [v9] : (k2_isocat_1(v0, v1, v2, v4, v6) = v9 & k2_isocat_1(v0, v1, v2, v3, v6) = v8 & m2_nattra_1(v7, v0, v2, v8, v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (k2_isocat_1(v6, v5, v4, v3, v2) = v1) | ~ (k2_isocat_1(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k14_isocat_2(v0, v1, v2, v3, v4, v5) = v6) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v7] : ? [v8] : ? [v9] : (k12_isocat_2(v0, v1, v2, v4) = v9 & k12_isocat_2(v0, v1, v2, v3) = v8 & k11_cat_2(v1, v2) = v7 & ( ~ m2_nattra_1(v5, v0, v7, v3, v4) | ~ m2_cat_1(v4, v0, v7) | ~ m2_cat_1(v3, v0, v7) | m2_nattra_1(v6, v0, v2, v8, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k13_isocat_2(v0, v1, v2, v3, v4, v5) = v6) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v7] : ? [v8] : ? [v9] : (k11_isocat_2(v0, v1, v2, v4) = v9 & k11_isocat_2(v0, v1, v2, v3) = v8 & k11_cat_2(v1, v2) = v7 & ( ~ m2_nattra_1(v5, v0, v7, v3, v4) | ~ m2_cat_1(v4, v0, v7) | ~ m2_cat_1(v3, v0, v7) | m2_nattra_1(v6, v0, v1, v8, v9)))) & ! [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] : (v5 = v4 | ~ m1_relset_1(v5, v2, v3) | ~ m1_relset_1(v4, v0, v1) | ~ v1_funct_2(v5, v2, v3) | ~ v1_funct_2(v4, v0, v1) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ r4_nattra_1(v0, v1, v2, v3, v4, v5) | v1_xboole_0(v3) | v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k12_isocat_2(v5, v4, v3, v2) = v1) | ~ (k12_isocat_2(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k11_isocat_2(v5, v4, v3, v2) = v1) | ~ (k11_isocat_2(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_isocat_1(v0, v1, v2, v3, v4) = v5) | ~ m2_cat_1(v4, v1, v2) | ~ m2_cat_1(v3, v0, v1) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k5_relat_1(v3, v4) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_isocat_1(v0, v1, v2, v3, v4) = v5) | ~ m2_cat_1(v4, v1, v2) | ~ m2_cat_1(v3, v0, v1) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_cat_1(v5, v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ m1_relset_1(v5, v2, v3) | ~ m1_relset_1(v4, v0, v1) | ~ v1_funct_2(v5, v2, v3) | ~ v1_funct_2(v4, v0, v1) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ r4_nattra_1(v0, v1, v2, v3, v4, v5) | v1_xboole_0(v3) | v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | r4_nattra_1(v0, v1, v2, v3, v5, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ m1_relset_1(v5, v2, v3) | ~ m1_relset_1(v4, v0, v1) | ~ v1_funct_2(v5, v2, v3) | ~ v1_funct_2(v4, v0, v1) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | v1_xboole_0(v3) | v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | r4_nattra_1(v0, v1, v2, v3, v4, v4)) & ! [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] : (v1 = v0 | ~ (k4_nattra_1(v4, v3, v2) = v1) | ~ (k4_nattra_1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k12_isocat_2(v0, v1, v2, v3) = v4) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_cat_1(v4, v0, v2) | ? [v5] : (k11_cat_2(v1, v2) = v5 & ~ m2_cat_1(v3, v0, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k11_isocat_2(v0, v1, v2, v3) = v4) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_cat_1(v4, v0, v1) | ? [v5] : (k11_cat_2(v1, v2) = v5 & ~ m2_cat_1(v3, v0, 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] : ( ~ 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] : ! [v4] : ( ~ m1_relset_1(v4, v2, v3) | ~ m1_relset_1(v4, v0, v1) | ~ v1_funct_2(v4, v2, v3) | ~ v1_funct_2(v4, v0, v1) | ~ v1_funct_1(v4) | v1_xboole_0(v3) | v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | r4_nattra_1(v0, v1, v2, v3, v4, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_relat_1(v3, v2) = v1) | ~ (k5_relat_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k9_isocat_2(v3, v2) = v1) | ~ (k9_isocat_2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k8_isocat_2(v3, v2) = v1) | ~ (k8_isocat_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] : (v1 = v0 | ~ (k17_cat_2(v3, v2) = v1) | ~ (k17_cat_2(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 | ~ (k16_cat_2(v3, v2) = v1) | ~ (k16_cat_2(v3, v2) = v0)) & ! [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] : ( ~ (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] : ( ~ (k9_isocat_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) | ? [v4] : (k11_cat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v4, v2, v5, v6, v7, v3) = v8) | ~ m2_nattra_1(v7, v0, v4, v5, v6) | ~ m2_cat_1(v6, v0, v4) | ~ m2_cat_1(v5, v0, v4) | k14_isocat_2(v0, v1, v2, v5, v6, v7) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k14_isocat_2(v0, v1, v2, v5, v6, v7) = v8) | ~ m2_nattra_1(v7, v0, v4, v5, v6) | ~ m2_cat_1(v6, v0, v4) | ~ m2_cat_1(v5, v0, v4) | k6_isocat_1(v0, v4, v2, v5, v6, v7, v3) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k9_isocat_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) | ? [v4] : (k11_cat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ( ~ (k12_isocat_2(v0, v1, v2, v5) = v6) | ~ m2_cat_1(v5, v0, v4) | k2_isocat_1(v0, v4, v2, v5, v3) = v6) & ! [v5] : ! [v6] : ( ~ (k2_isocat_1(v0, v4, v2, v5, v3) = v6) | ~ m2_cat_1(v5, v0, v4) | k12_isocat_2(v0, v1, v2, v5) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k8_isocat_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) | ? [v4] : (k11_cat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v4, v1, v5, v6, v7, v3) = v8) | ~ m2_nattra_1(v7, v0, v4, v5, v6) | ~ m2_cat_1(v6, v0, v4) | ~ m2_cat_1(v5, v0, v4) | k13_isocat_2(v0, v1, v2, v5, v6, v7) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k13_isocat_2(v0, v1, v2, v5, v6, v7) = v8) | ~ m2_nattra_1(v7, v0, v4, v5, v6) | ~ m2_cat_1(v6, v0, v4) | ~ m2_cat_1(v5, v0, v4) | k6_isocat_1(v0, v4, v1, v5, v6, v7, v3) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k8_isocat_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) | ? [v4] : (k11_cat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ( ~ (k11_isocat_2(v0, v1, v2, v5) = v6) | ~ m2_cat_1(v5, v0, v4) | k2_isocat_1(v0, v4, v1, v5, v3) = v6) & ! [v5] : ! [v6] : ( ~ (k2_isocat_1(v0, v4, v1, v5, v3) = v6) | ~ m2_cat_1(v5, v0, v4) | k11_isocat_2(v0, v1, v2, v5) = v6))) & ! [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] : ( ~ (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) | ? [v4] : (k9_isocat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v3, v2, v5, v6, v7, v4) = v8) | ~ m2_nattra_1(v7, v0, v3, v5, v6) | ~ m2_cat_1(v6, v0, v3) | ~ m2_cat_1(v5, v0, v3) | k14_isocat_2(v0, v1, v2, v5, v6, v7) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k14_isocat_2(v0, v1, v2, v5, v6, v7) = v8) | ~ m2_nattra_1(v7, v0, v3, v5, v6) | ~ m2_cat_1(v6, v0, v3) | ~ m2_cat_1(v5, v0, v3) | k6_isocat_1(v0, v3, v2, v5, v6, v7, v4) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (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) | ? [v4] : (k9_isocat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ( ~ (k12_isocat_2(v0, v1, v2, v5) = v6) | ~ m2_cat_1(v5, v0, v3) | k2_isocat_1(v0, v3, v2, v5, v4) = v6) & ! [v5] : ! [v6] : ( ~ (k2_isocat_1(v0, v3, v2, v5, v4) = v6) | ~ m2_cat_1(v5, v0, v3) | k12_isocat_2(v0, v1, v2, v5) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (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) | ? [v4] : (k8_isocat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v3, v1, v5, v6, v7, v4) = v8) | ~ m2_nattra_1(v7, v0, v3, v5, v6) | ~ m2_cat_1(v6, v0, v3) | ~ m2_cat_1(v5, v0, v3) | k13_isocat_2(v0, v1, v2, v5, v6, v7) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k13_isocat_2(v0, v1, v2, v5, v6, v7) = v8) | ~ m2_nattra_1(v7, v0, v3, v5, v6) | ~ m2_cat_1(v6, v0, v3) | ~ m2_cat_1(v5, v0, v3) | k6_isocat_1(v0, v3, v1, v5, v6, v7, v4) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (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) | ? [v4] : (k8_isocat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ( ~ (k11_isocat_2(v0, v1, v2, v5) = v6) | ~ m2_cat_1(v5, v0, v3) | k2_isocat_1(v0, v3, v1, v5, v4) = v6) & ! [v5] : ! [v6] : ( ~ (k2_isocat_1(v0, v3, v1, v5, v4) = v6) | ~ m2_cat_1(v5, v0, v3) | k11_isocat_2(v0, v1, v2, v5) = 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) | ? [v4] : m2_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] : m1_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 | ~ (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] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ v1_relat_1(v1) | ~ v1_relat_1(v0) | v1_relat_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k9_isocat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k17_cat_2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k9_isocat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : (k11_cat_2(v0, v1) = v3 & m2_cat_1(v2, v3, v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k8_isocat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k16_cat_2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k8_isocat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : (k11_cat_2(v0, v1) = v3 & m2_cat_1(v2, v3, v0))) & ! [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) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k17_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k9_isocat_2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k17_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : (k11_cat_2(v0, v1) = v3 & m2_cat_1(v2, v3, v1))) & ! [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] : ( ~ (k11_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : (k9_isocat_2(v0, v1) = v3 & m2_cat_1(v3, v2, v1))) & ! [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) | ? [v3] : (k8_isocat_2(v0, v1) = v3 & m2_cat_1(v3, v2, v0))) & ! [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) | ? [v3] : (k17_cat_2(v0, v1) = v3 & m2_cat_1(v3, v2, v1))) & ! [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) | ? [v3] : (k16_cat_2(v0, v1) = v3 & m2_cat_1(v3, v2, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k16_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k8_isocat_2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k16_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : (k11_cat_2(v0, v1) = v3 & m2_cat_1(v2, v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, 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] : ( ~ (u2_cat_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0)) & ! [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] : ( ~ 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] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0) & ( ~ r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, all_0_4_4, all_0_3_3) | ~ r4_nattra_1(all_0_16_16, all_0_14_14, all_0_16_16, all_0_14_14, all_0_8_8, all_0_6_6))
% 16.62/4.41 |
% 16.62/4.41 | Applying alpha-rule on (1) yields:
% 16.62/4.41 | (2) ! [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))
% 16.62/4.41 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_relat_1(v3, v2) = v1) | ~ (k5_relat_1(v3, v2) = v0))
% 16.62/4.41 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k9_isocat_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) | ? [v4] : (k11_cat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ( ~ (k12_isocat_2(v0, v1, v2, v5) = v6) | ~ m2_cat_1(v5, v0, v4) | k2_isocat_1(v0, v4, v2, v5, v3) = v6) & ! [v5] : ! [v6] : ( ~ (k2_isocat_1(v0, v4, v2, v5, v3) = v6) | ~ m2_cat_1(v5, v0, v4) | k12_isocat_2(v0, v1, v2, v5) = v6)))
% 16.62/4.41 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_isocat_1(v0, v1, v2, v3, v4) = v5) | ~ m2_cat_1(v4, v1, v2) | ~ m2_cat_1(v3, v0, v1) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k5_relat_1(v3, v4) = v5)
% 16.62/4.41 | (6) k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_0_6_6
% 16.62/4.41 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k14_isocat_2(v0, v1, v2, v3, v4, v5) = v6) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v7] : ? [v8] : ? [v9] : (k12_isocat_2(v0, v1, v2, v4) = v9 & k12_isocat_2(v0, v1, v2, v3) = v8 & k11_cat_2(v1, v2) = v7 & ( ~ m2_nattra_1(v5, v0, v7, v3, v4) | ~ m2_cat_1(v4, v0, v7) | ~ m2_cat_1(v3, v0, v7) | m2_nattra_1(v6, v0, v2, v8, v9))))
% 16.62/4.41 | (8) ! [v0] : ! [v1] : ( ~ (u2_cat_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0))
% 16.62/4.41 | (9) v2_cat_1(all_0_13_13)
% 16.62/4.41 | (10) u2_cat_1(all_0_13_13) = all_0_11_11
% 16.62/4.41 | (11) ! [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) | ? [v3] : (k8_isocat_2(v0, v1) = v3 & m2_cat_1(v3, v2, v0)))
% 16.62/4.41 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (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) | ? [v4] : (k9_isocat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v3, v2, v5, v6, v7, v4) = v8) | ~ m2_nattra_1(v7, v0, v3, v5, v6) | ~ m2_cat_1(v6, v0, v3) | ~ m2_cat_1(v5, v0, v3) | k14_isocat_2(v0, v1, v2, v5, v6, v7) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k14_isocat_2(v0, v1, v2, v5, v6, v7) = v8) | ~ m2_nattra_1(v7, v0, v3, v5, v6) | ~ m2_cat_1(v6, v0, v3) | ~ m2_cat_1(v5, v0, v3) | k6_isocat_1(v0, v3, v2, v5, v6, v7, v4) = v8)))
% 16.62/4.41 | (13) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 16.62/4.41 | (14) ? [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)))
% 16.62/4.41 | (15) u2_cat_1(all_0_15_15) = all_0_14_14
% 16.62/4.41 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (k2_isocat_1(v6, v5, v4, v3, v2) = v1) | ~ (k2_isocat_1(v6, v5, v4, v3, v2) = v0))
% 16.62/4.41 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 16.62/4.41 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 16.62/4.41 | (19) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 16.62/4.41 | (20) l1_cat_1(all_0_17_17)
% 16.62/4.41 | (21) ! [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))
% 16.62/4.41 | (22) ! [v0] : ! [v1] : ( ~ (u1_cat_1(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_cat_1(v0))
% 16.62/4.41 | (23) k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_5_5
% 16.62/4.41 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k8_isocat_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) | ? [v4] : (k11_cat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ( ~ (k11_isocat_2(v0, v1, v2, v5) = v6) | ~ m2_cat_1(v5, v0, v4) | k2_isocat_1(v0, v4, v1, v5, v3) = v6) & ! [v5] : ! [v6] : ( ~ (k2_isocat_1(v0, v4, v1, v5, v3) = v6) | ~ m2_cat_1(v5, v0, v4) | k11_isocat_2(v0, v1, v2, v5) = v6)))
% 16.62/4.42 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k8_isocat_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) | ? [v4] : (k11_cat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v4, v1, v5, v6, v7, v3) = v8) | ~ m2_nattra_1(v7, v0, v4, v5, v6) | ~ m2_cat_1(v6, v0, v4) | ~ m2_cat_1(v5, v0, v4) | k13_isocat_2(v0, v1, v2, v5, v6, v7) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k13_isocat_2(v0, v1, v2, v5, v6, v7) = v8) | ~ m2_nattra_1(v7, v0, v4, v5, v6) | ~ m2_cat_1(v6, v0, v4) | ~ m2_cat_1(v5, v0, v4) | k6_isocat_1(v0, v4, v1, v5, v6, v7, v3) = v8)))
% 16.62/4.42 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 16.62/4.42 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v2, v3, v5, v5, v6, v7) = v8) | ~ (k7_nattra_1(v0, v2, v5) = v6) | ~ (u1_cat_1(v0) = v1) | ~ (u2_cat_1(v3) = v4) | ~ m2_cat_1(v7, v2, v3) | ~ m2_cat_1(v5, v0, v2) | ~ l1_cat_1(v3) | ~ l1_cat_1(v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v2) | ~ v2_cat_1(v0) | ? [v9] : ? [v10] : (k7_nattra_1(v0, v3, v9) = v10 & k2_isocat_1(v0, v2, v3, v5, v7) = v9 & r4_nattra_1(v1, v4, v1, v4, v8, v10)))
% 16.62/4.42 | (28) v1_xboole_0(all_0_0_0)
% 16.62/4.42 | (29) ~ r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, all_0_4_4, all_0_3_3) | ~ r4_nattra_1(all_0_16_16, all_0_14_14, all_0_16_16, all_0_14_14, all_0_8_8, all_0_6_6)
% 16.62/4.42 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k11_isocat_2(v0, v1, v2, v3) = v4) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_cat_1(v4, v0, v1) | ? [v5] : (k11_cat_2(v1, v2) = v5 & ~ m2_cat_1(v3, v0, v5)))
% 16.62/4.42 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k17_cat_2(v3, v2) = v1) | ~ (k17_cat_2(v3, v2) = v0))
% 16.62/4.42 | (32) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 16.62/4.42 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (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) | ? [v4] : (k9_isocat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ( ~ (k12_isocat_2(v0, v1, v2, v5) = v6) | ~ m2_cat_1(v5, v0, v3) | k2_isocat_1(v0, v3, v2, v5, v4) = v6) & ! [v5] : ! [v6] : ( ~ (k2_isocat_1(v0, v3, v2, v5, v4) = v6) | ~ m2_cat_1(v5, v0, v3) | k12_isocat_2(v0, v1, v2, v5) = v6)))
% 16.62/4.42 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k12_isocat_2(v5, v4, v3, v2) = v1) | ~ (k12_isocat_2(v5, v4, v3, v2) = v0))
% 16.62/4.42 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (k16_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k8_isocat_2(v0, v1) = v2)
% 16.62/4.42 | (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) | m2_relset_1(v4, v2, v3))
% 16.62/4.42 | (37) ! [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))
% 16.62/4.42 | (38) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 16.62/4.42 | (39) v1_xboole_0(k1_xboole_0)
% 16.62/4.42 | (40) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 16.62/4.42 | (41) k7_nattra_1(all_0_17_17, all_0_15_15, all_0_9_9) = all_0_8_8
% 16.62/4.42 | (42) ! [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))
% 16.62/4.42 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_isocat_1(v0, v1, v2, v3, v4) = v5) | ~ m2_cat_1(v4, v1, v2) | ~ m2_cat_1(v3, v0, v1) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_cat_1(v5, v0, v2))
% 16.62/4.42 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ~ v1_relat_1(v1) | ~ v1_relat_1(v0) | v1_relat_1(v2))
% 16.62/4.42 | (45) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 16.62/4.42 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k11_cat_2(v3, v2) = v1) | ~ (k11_cat_2(v3, v2) = v0))
% 16.62/4.42 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k16_cat_2(v3, v2) = v1) | ~ (k16_cat_2(v3, v2) = v0))
% 16.62/4.42 | (48) k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12
% 16.62/4.42 | (49) ! [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))
% 16.62/4.42 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 16.62/4.42 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 16.62/4.42 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k13_isocat_2(v0, v1, v2, v3, v4, v5) = v6) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v7] : ? [v8] : ? [v9] : (k11_isocat_2(v0, v1, v2, v4) = v9 & k11_isocat_2(v0, v1, v2, v3) = v8 & k11_cat_2(v1, v2) = v7 & ( ~ m2_nattra_1(v5, v0, v7, v3, v4) | ~ m2_cat_1(v4, v0, v7) | ~ m2_cat_1(v3, v0, v7) | m2_nattra_1(v6, v0, v1, v8, v9))))
% 16.62/4.42 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (k9_isocat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : (k11_cat_2(v0, v1) = v3 & m2_cat_1(v2, v3, v1)))
% 16.62/4.43 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (k7_nattra_1(v0, v3, v8) = v9) | ~ (k7_nattra_1(v0, v2, v5) = v6) | ~ (k2_isocat_1(v0, v2, v3, v5, v7) = v8) | ~ (u1_cat_1(v0) = v1) | ~ (u2_cat_1(v3) = v4) | ~ m2_cat_1(v7, v2, v3) | ~ m2_cat_1(v5, v0, v2) | ~ l1_cat_1(v3) | ~ l1_cat_1(v2) | ~ l1_cat_1(v0) | ~ v2_cat_1(v3) | ~ v2_cat_1(v2) | ~ v2_cat_1(v0) | ? [v10] : (k6_isocat_1(v0, v2, v3, v5, v5, v6, v7) = v10 & r4_nattra_1(v1, v4, v1, v4, v10, v9)))
% 16.62/4.43 | (55) k7_nattra_1(all_0_17_17, all_0_13_13, all_0_5_5) = all_0_4_4
% 16.62/4.43 | (56) k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_0_3_3
% 16.62/4.43 | (57) k7_nattra_1(all_0_17_17, all_0_12_12, all_0_10_10) = all_0_7_7
% 16.62/4.43 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ (k17_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : (k11_cat_2(v0, v1) = v3 & m2_cat_1(v2, v3, v1)))
% 16.62/4.43 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ (k17_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k9_isocat_2(v0, v1) = v2)
% 16.62/4.43 | (60) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 16.62/4.43 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ m1_relset_1(v5, v2, v3) | ~ m1_relset_1(v4, v0, v1) | ~ v1_funct_2(v5, v2, v3) | ~ v1_funct_2(v4, v0, v1) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ r4_nattra_1(v0, v1, v2, v3, v4, v5) | v1_xboole_0(v3) | v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 16.62/4.43 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k12_isocat_2(v0, v1, v2, v3) = v4) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | m2_cat_1(v4, v0, v2) | ? [v5] : (k11_cat_2(v1, v2) = v5 & ~ m2_cat_1(v3, v0, v5)))
% 16.62/4.43 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (k8_isocat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k16_cat_2(v0, v1) = v2)
% 16.62/4.43 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (k9_isocat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | k17_cat_2(v0, v1) = v2)
% 16.62/4.43 | (65) l1_cat_1(all_0_2_2)
% 16.62/4.43 | (66) l1_cat_1(all_0_15_15)
% 16.62/4.43 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (k8_isocat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : (k11_cat_2(v0, v1) = v3 & m2_cat_1(v2, v3, v0)))
% 16.62/4.43 | (68) ! [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) | ? [v3] : (k17_cat_2(v0, v1) = v3 & m2_cat_1(v3, v2, v1)))
% 16.62/4.43 | (69) ! [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)
% 16.62/4.43 | (70) ! [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)))
% 16.62/4.43 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k4_nattra_1(v4, v3, v2) = v1) | ~ (k4_nattra_1(v4, v3, v2) = v0))
% 16.62/4.43 | (72) ! [v0] : ! [v1] : ! [v2] : ( ~ (k16_cat_2(v0, v1) = v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v3] : (k11_cat_2(v0, v1) = v3 & m2_cat_1(v2, v3, v0)))
% 16.62/4.43 | (73) ! [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))
% 16.62/4.43 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k8_isocat_2(v3, v2) = v1) | ~ (k8_isocat_2(v3, v2) = v0))
% 16.62/4.43 | (75) u1_cat_1(all_0_17_17) = all_0_16_16
% 16.62/4.43 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (k6_isocat_1(v0, v1, v2, v3, v4, v5, v6) = v7) | ~ m2_nattra_1(v5, v0, v1, v3, v4) | ~ m2_cat_1(v6, v1, v2) | ~ m2_cat_1(v4, v0, v1) | ~ m2_cat_1(v3, v0, v1) | ~ l1_cat_1(v2) | ~ l1_cat_1(v1) | ~ l1_cat_1(v0) | ~ v2_cat_1(v2) | ~ v2_cat_1(v1) | ~ v2_cat_1(v0) | ? [v8] : ? [v9] : (k2_isocat_1(v0, v1, v2, v4, v6) = v9 & k2_isocat_1(v0, v1, v2, v3, v6) = v8 & m2_nattra_1(v7, v0, v2, v8, v9)))
% 16.62/4.43 | (77) v2_cat_1(all_0_15_15)
% 16.62/4.43 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k11_isocat_2(v5, v4, v3, v2) = v1) | ~ (k11_isocat_2(v5, v4, v3, v2) = v0))
% 16.62/4.43 | (79) ! [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))
% 16.62/4.43 | (80) ! [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)
% 16.62/4.43 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k7_nattra_1(v4, v3, v2) = v1) | ~ (k7_nattra_1(v4, v3, v2) = v0))
% 16.62/4.43 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k9_isocat_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) | ? [v4] : (k11_cat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v4, v2, v5, v6, v7, v3) = v8) | ~ m2_nattra_1(v7, v0, v4, v5, v6) | ~ m2_cat_1(v6, v0, v4) | ~ m2_cat_1(v5, v0, v4) | k14_isocat_2(v0, v1, v2, v5, v6, v7) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k14_isocat_2(v0, v1, v2, v5, v6, v7) = v8) | ~ m2_nattra_1(v7, v0, v4, v5, v6) | ~ m2_cat_1(v6, v0, v4) | ~ m2_cat_1(v5, v0, v4) | k6_isocat_1(v0, v4, v2, v5, v6, v7, v3) = v8)))
% 16.62/4.44 | (83) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 16.62/4.44 | (84) ! [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) | ? [v3] : (k9_isocat_2(v0, v1) = v3 & m2_cat_1(v3, v2, v1)))
% 16.62/4.44 | (85) ! [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))
% 16.62/4.44 | (86) ? [v0] : r1_tarski(v0, v0)
% 16.62/4.44 | (87) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 16.62/4.44 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k13_isocat_2(v7, v6, v5, v4, v3, v2) = v1) | ~ (k13_isocat_2(v7, v6, v5, v4, v3, v2) = v0))
% 16.62/4.44 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v1 = v0 | ~ (k6_isocat_1(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (k6_isocat_1(v8, v7, v6, v5, v4, v3, v2) = v0))
% 16.62/4.44 | (90) m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12)
% 16.62/4.44 | (91) ~ v1_xboole_0(all_0_1_1)
% 16.62/4.44 | (92) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 16.62/4.44 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_cat_1(v2) = v1) | ~ (u1_cat_1(v2) = v0))
% 16.62/4.44 | (94) ! [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))
% 16.62/4.44 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k9_isocat_2(v3, v2) = v1) | ~ (k9_isocat_2(v3, v2) = v0))
% 16.62/4.44 | (96) ! [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) | ? [v3] : (k16_cat_2(v0, v1) = v3 & m2_cat_1(v3, v2, v0)))
% 16.62/4.44 | (97) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 16.62/4.44 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 16.62/4.44 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ m1_relset_1(v5, v2, v3) | ~ m1_relset_1(v4, v0, v1) | ~ v1_funct_2(v5, v2, v3) | ~ v1_funct_2(v4, v0, v1) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | v1_xboole_0(v3) | v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | r4_nattra_1(v0, v1, v2, v3, v4, v4))
% 16.62/4.44 | (100) k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_9_9
% 16.62/4.44 | (101) ! [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))
% 16.62/4.44 | (102) ! [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))
% 16.62/4.44 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2))
% 16.62/4.44 | (104) l1_cat_1(all_0_13_13)
% 16.62/4.44 | (105) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 16.62/4.44 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ m1_relset_1(v4, v2, v3) | ~ m1_relset_1(v4, v0, v1) | ~ v1_funct_2(v4, v2, v3) | ~ v1_funct_2(v4, v0, v1) | ~ v1_funct_1(v4) | v1_xboole_0(v3) | v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | r4_nattra_1(v0, v1, v2, v3, v4, v4))
% 16.62/4.44 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1))
% 16.62/4.44 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ m1_relset_1(v5, v2, v3) | ~ m1_relset_1(v4, v0, v1) | ~ v1_funct_2(v5, v2, v3) | ~ v1_funct_2(v4, v0, v1) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ r4_nattra_1(v0, v1, v2, v3, v4, v5) | v1_xboole_0(v3) | v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0) | r4_nattra_1(v0, v1, v2, v3, v5, v4))
% 16.62/4.44 | (109) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 16.62/4.44 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (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) | ? [v4] : (k8_isocat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k6_isocat_1(v0, v3, v1, v5, v6, v7, v4) = v8) | ~ m2_nattra_1(v7, v0, v3, v5, v6) | ~ m2_cat_1(v6, v0, v3) | ~ m2_cat_1(v5, v0, v3) | k13_isocat_2(v0, v1, v2, v5, v6, v7) = v8) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (k13_isocat_2(v0, v1, v2, v5, v6, v7) = v8) | ~ m2_nattra_1(v7, v0, v3, v5, v6) | ~ m2_cat_1(v6, v0, v3) | ~ m2_cat_1(v5, v0, v3) | k6_isocat_1(v0, v3, v1, v5, v6, v7, v4) = v8)))
% 16.62/4.44 | (111) ! [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))
% 16.62/4.45 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_cat_1(v2) = v1) | ~ (u2_cat_1(v2) = v0))
% 16.62/4.45 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (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) | ? [v4] : (k8_isocat_2(v1, v2) = v4 & ! [v5] : ! [v6] : ( ~ (k11_isocat_2(v0, v1, v2, v5) = v6) | ~ m2_cat_1(v5, v0, v3) | k2_isocat_1(v0, v3, v1, v5, v4) = v6) & ! [v5] : ! [v6] : ( ~ (k2_isocat_1(v0, v3, v1, v5, v4) = v6) | ~ m2_cat_1(v5, v0, v3) | k11_isocat_2(v0, v1, v2, v5) = v6)))
% 16.62/4.45 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k14_isocat_2(v7, v6, v5, v4, v3, v2) = v1) | ~ (k14_isocat_2(v7, v6, v5, v4, v3, v2) = v0))
% 16.62/4.45 | (115) v2_cat_1(all_0_17_17)
% 16.62/4.45 | (116) ! [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))
% 16.62/4.45 |
% 17.05/4.45 | Instantiating formula (111) with all_0_13_13, all_0_13_13 and discharging atoms l1_cat_1(all_0_13_13), v2_cat_1(all_0_13_13), yields:
% 17.05/4.45 | (117) ? [v0] : m2_cat_1(v0, all_0_13_13, all_0_13_13)
% 17.05/4.45 |
% 17.05/4.45 | Instantiating formula (12) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_15_15 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.45 | (118) ? [v0] : (k9_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k6_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v1, v2, v3, v0) = v4) | ~ m2_nattra_1(v3, all_0_15_15, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | k14_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k14_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) | ~ m2_nattra_1(v3, all_0_15_15, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | k6_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v1, v2, v3, v0) = v4))
% 17.05/4.45 |
% 17.05/4.45 | Instantiating formula (33) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_15_15 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.45 | (119) ? [v0] : (k9_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ( ~ (k12_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v1) = v2) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | k2_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v1, v0) = v2) & ! [v1] : ! [v2] : ( ~ (k2_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v1, v0) = v2) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | k12_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v1) = v2))
% 17.05/4.45 |
% 17.05/4.45 | Instantiating formula (110) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_15_15 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.45 | (120) ? [v0] : (k8_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k6_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v1, v2, v3, v0) = v4) | ~ m2_nattra_1(v3, all_0_15_15, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | k13_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k13_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) | ~ m2_nattra_1(v3, all_0_15_15, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | k6_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v1, v2, v3, v0) = v4))
% 17.05/4.45 |
% 17.05/4.45 | Instantiating formula (113) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_15_15 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.45 | (121) ? [v0] : (k8_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ( ~ (k11_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v1) = v2) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | k2_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v1, v0) = v2) & ! [v1] : ! [v2] : ( ~ (k2_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v1, v0) = v2) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | k11_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v1) = v2))
% 17.05/4.45 |
% 17.05/4.45 | Instantiating formula (12) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_13_13 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.45 | (122) ? [v0] : (k9_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k6_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v1, v2, v3, v0) = v4) | ~ m2_nattra_1(v3, all_0_13_13, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | k14_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k14_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) | ~ m2_nattra_1(v3, all_0_13_13, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | k6_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v1, v2, v3, v0) = v4))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (33) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_13_13 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (123) ? [v0] : (k9_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ( ~ (k12_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v1) = v2) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | k2_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v1, v0) = v2) & ! [v1] : ! [v2] : ( ~ (k2_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v1, v0) = v2) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | k12_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v1) = v2))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (110) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_13_13 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (124) ? [v0] : (k8_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k6_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v1, v2, v3, v0) = v4) | ~ m2_nattra_1(v3, all_0_13_13, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | k13_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k13_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) | ~ m2_nattra_1(v3, all_0_13_13, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | k6_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v1, v2, v3, v0) = v4))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (113) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_13_13 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (125) ? [v0] : (k8_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ( ~ (k11_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v1) = v2) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | k2_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v1, v0) = v2) & ! [v1] : ! [v2] : ( ~ (k2_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v1, v0) = v2) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | k11_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v1) = v2))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (116) with all_0_12_12, all_0_13_13, all_0_15_15 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (126) l1_cat_1(all_0_12_12)
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (37) with all_0_12_12, all_0_13_13, all_0_15_15 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (127) v2_cat_1(all_0_12_12)
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (84) with all_0_12_12, all_0_13_13, all_0_15_15 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (128) ? [v0] : (k9_isocat_2(all_0_15_15, all_0_13_13) = v0 & m2_cat_1(v0, all_0_12_12, all_0_13_13))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (11) with all_0_12_12, all_0_13_13, all_0_15_15 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (129) ? [v0] : (k8_isocat_2(all_0_15_15, all_0_13_13) = v0 & m2_cat_1(v0, all_0_12_12, all_0_15_15))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (111) with all_0_13_13, all_0_15_15 and discharging atoms l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (130) ? [v0] : m2_cat_1(v0, all_0_15_15, all_0_13_13)
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (111) with all_0_15_15, all_0_15_15 and discharging atoms l1_cat_1(all_0_15_15), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (131) ? [v0] : m2_cat_1(v0, all_0_15_15, all_0_15_15)
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (111) with all_0_15_15, all_0_13_13 and discharging atoms l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.05/4.46 | (132) ? [v0] : m2_cat_1(v0, all_0_13_13, all_0_15_15)
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (7) with all_0_3_3, all_0_7_7, all_0_10_10, all_0_10_10, all_0_13_13, all_0_15_15, all_0_17_17 and discharging atoms k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_0_3_3, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.05/4.46 | (133) ? [v0] : ? [v1] : ? [v2] : (k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = v2 & k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = v1 & k11_cat_2(all_0_15_15, all_0_13_13) = v0 & ( ~ m2_nattra_1(all_0_7_7, all_0_17_17, v0, all_0_10_10, all_0_10_10) | ~ m2_cat_1(all_0_10_10, all_0_17_17, v0) | m2_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, v1, v2)))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (52) with all_0_6_6, all_0_7_7, all_0_10_10, all_0_10_10, all_0_13_13, all_0_15_15, all_0_17_17 and discharging atoms k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_0_6_6, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.05/4.46 | (134) ? [v0] : ? [v1] : ? [v2] : (k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = v2 & k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = v1 & k11_cat_2(all_0_15_15, all_0_13_13) = v0 & ( ~ m2_nattra_1(all_0_7_7, all_0_17_17, v0, all_0_10_10, all_0_10_10) | ~ m2_cat_1(all_0_10_10, all_0_17_17, v0) | m2_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, v1, v2)))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (62) with all_0_5_5, all_0_10_10, all_0_13_13, all_0_15_15, all_0_17_17 and discharging atoms k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_5_5, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.05/4.46 | (135) m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13) | ? [v0] : (k11_cat_2(all_0_15_15, all_0_13_13) = v0 & ~ m2_cat_1(all_0_10_10, all_0_17_17, v0))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (30) with all_0_9_9, all_0_10_10, all_0_13_13, all_0_15_15, all_0_17_17 and discharging atoms k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_9_9, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.05/4.46 | (136) m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15) | ? [v0] : (k11_cat_2(all_0_15_15, all_0_13_13) = v0 & ~ m2_cat_1(all_0_10_10, all_0_17_17, v0))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (12) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_17_17 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.05/4.46 | (137) ? [v0] : (k9_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v1, v2, v3, v0) = v4) | ~ m2_nattra_1(v3, all_0_17_17, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) | ~ m2_nattra_1(v3, all_0_17_17, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v1, v2, v3, v0) = v4))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (33) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_17_17 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.05/4.46 | (138) ? [v0] : (k9_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ( ~ (k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v1) = v2) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | k2_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v1, v0) = v2) & ! [v1] : ! [v2] : ( ~ (k2_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v1, v0) = v2) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v1) = v2))
% 17.05/4.46 |
% 17.05/4.46 | Instantiating formula (110) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_17_17 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.05/4.46 | (139) ? [v0] : (k8_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v1, v2, v3, v0) = v4) | ~ m2_nattra_1(v3, all_0_17_17, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v1, v2, v3) = v4) | ~ m2_nattra_1(v3, all_0_17_17, all_0_12_12, v1, v2) | ~ m2_cat_1(v2, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v1, v2, v3, v0) = v4))
% 17.05/4.47 |
% 17.05/4.47 | Instantiating formula (113) with all_0_12_12, all_0_13_13, all_0_15_15, all_0_17_17 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.05/4.47 | (140) ? [v0] : (k8_isocat_2(all_0_15_15, all_0_13_13) = v0 & ! [v1] : ! [v2] : ( ~ (k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v1) = v2) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | k2_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v1, v0) = v2) & ! [v1] : ! [v2] : ( ~ (k2_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v1, v0) = v2) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v1) = v2))
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (120) with all_23_0_28 yields:
% 17.05/4.47 | (141) k8_isocat_2(all_0_15_15, all_0_13_13) = all_23_0_28 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v0, v1, v2, all_23_0_28) = v3) | ~ m2_nattra_1(v2, all_0_15_15, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k13_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k13_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_15_15, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k6_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v0, v1, v2, all_23_0_28) = v3)
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (141) yields:
% 17.05/4.47 | (142) k8_isocat_2(all_0_15_15, all_0_13_13) = all_23_0_28
% 17.05/4.47 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v0, v1, v2, all_23_0_28) = v3) | ~ m2_nattra_1(v2, all_0_15_15, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k13_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0, v1, v2) = v3)
% 17.05/4.47 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k13_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_15_15, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k6_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v0, v1, v2, all_23_0_28) = v3)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (119) with all_26_0_29 yields:
% 17.05/4.47 | (145) k9_isocat_2(all_0_15_15, all_0_13_13) = all_26_0_29 & ! [v0] : ! [v1] : ( ~ (k12_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k2_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v0, all_26_0_29) = v1) & ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v0, all_26_0_29) = v1) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k12_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (145) yields:
% 17.05/4.47 | (146) k9_isocat_2(all_0_15_15, all_0_13_13) = all_26_0_29
% 17.05/4.47 | (147) ! [v0] : ! [v1] : ( ~ (k12_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k2_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v0, all_26_0_29) = v1)
% 17.05/4.47 | (148) ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v0, all_26_0_29) = v1) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k12_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (118) with all_29_0_30 yields:
% 17.05/4.47 | (149) k9_isocat_2(all_0_15_15, all_0_13_13) = all_29_0_30 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v0, v1, v2, all_29_0_30) = v3) | ~ m2_nattra_1(v2, all_0_15_15, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k14_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k14_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_15_15, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k6_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v0, v1, v2, all_29_0_30) = v3)
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (149) yields:
% 17.05/4.47 | (150) k9_isocat_2(all_0_15_15, all_0_13_13) = all_29_0_30
% 17.05/4.47 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v0, v1, v2, all_29_0_30) = v3) | ~ m2_nattra_1(v2, all_0_15_15, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k14_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0, v1, v2) = v3)
% 17.05/4.47 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k14_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_15_15, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_15_15, all_0_12_12) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k6_isocat_1(all_0_15_15, all_0_12_12, all_0_13_13, v0, v1, v2, all_29_0_30) = v3)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (125) with all_38_0_34 yields:
% 17.05/4.47 | (153) k8_isocat_2(all_0_15_15, all_0_13_13) = all_38_0_34 & ! [v0] : ! [v1] : ( ~ (k11_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k2_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v0, all_38_0_34) = v1) & ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v0, all_38_0_34) = v1) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k11_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (153) yields:
% 17.05/4.47 | (154) k8_isocat_2(all_0_15_15, all_0_13_13) = all_38_0_34
% 17.05/4.47 | (155) ! [v0] : ! [v1] : ( ~ (k11_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k2_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v0, all_38_0_34) = v1)
% 17.05/4.47 | (156) ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v0, all_38_0_34) = v1) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k11_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (117) with all_41_0_35 yields:
% 17.05/4.47 | (157) m2_cat_1(all_41_0_35, all_0_13_13, all_0_13_13)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (140) with all_45_0_37 yields:
% 17.05/4.47 | (158) k8_isocat_2(all_0_15_15, all_0_13_13) = all_45_0_37 & ! [v0] : ! [v1] : ( ~ (k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k2_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v0, all_45_0_37) = v1) & ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v0, all_45_0_37) = v1) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (158) yields:
% 17.05/4.47 | (159) k8_isocat_2(all_0_15_15, all_0_13_13) = all_45_0_37
% 17.05/4.47 | (160) ! [v0] : ! [v1] : ( ~ (k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k2_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v0, all_45_0_37) = v1)
% 17.05/4.47 | (161) ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v0, all_45_0_37) = v1) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating formula (160) with all_0_9_9, all_0_10_10 and discharging atoms k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_9_9, m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12), yields:
% 17.05/4.47 | (162) k2_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_45_0_37) = all_0_9_9
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (139) with all_49_0_38 yields:
% 17.05/4.47 | (163) k8_isocat_2(all_0_15_15, all_0_13_13) = all_49_0_38 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v0, v1, v2, all_49_0_38) = v3) | ~ m2_nattra_1(v2, all_0_17_17, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_17_17, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v0, v1, v2, all_49_0_38) = v3)
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (163) yields:
% 17.05/4.47 | (164) k8_isocat_2(all_0_15_15, all_0_13_13) = all_49_0_38
% 17.05/4.47 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v0, v1, v2, all_49_0_38) = v3) | ~ m2_nattra_1(v2, all_0_17_17, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0, v1, v2) = v3)
% 17.05/4.47 | (166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_17_17, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, v0, v1, v2, all_49_0_38) = v3)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (134) with all_52_0_39, all_52_1_40, all_52_2_41 yields:
% 17.05/4.47 | (167) k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_52_0_39 & k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_52_1_40 & k11_cat_2(all_0_15_15, all_0_13_13) = all_52_2_41 & ( ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_52_2_41, all_0_10_10, all_0_10_10) | ~ m2_cat_1(all_0_10_10, all_0_17_17, all_52_2_41) | m2_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_52_1_40, all_52_0_39))
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (167) yields:
% 17.05/4.47 | (168) k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_52_0_39
% 17.05/4.47 | (169) k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_52_1_40
% 17.05/4.47 | (170) k11_cat_2(all_0_15_15, all_0_13_13) = all_52_2_41
% 17.05/4.47 | (171) ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_52_2_41, all_0_10_10, all_0_10_10) | ~ m2_cat_1(all_0_10_10, all_0_17_17, all_52_2_41) | m2_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_52_1_40, all_52_0_39)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (133) with all_54_0_42, all_54_1_43, all_54_2_44 yields:
% 17.05/4.47 | (172) k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_54_0_42 & k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_54_1_43 & k11_cat_2(all_0_15_15, all_0_13_13) = all_54_2_44 & ( ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_54_2_44, all_0_10_10, all_0_10_10) | ~ m2_cat_1(all_0_10_10, all_0_17_17, all_54_2_44) | m2_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_54_1_43, all_54_0_42))
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (172) yields:
% 17.05/4.47 | (173) k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_54_0_42
% 17.05/4.47 | (174) k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_54_1_43
% 17.05/4.47 | (175) k11_cat_2(all_0_15_15, all_0_13_13) = all_54_2_44
% 17.05/4.47 | (176) ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_54_2_44, all_0_10_10, all_0_10_10) | ~ m2_cat_1(all_0_10_10, all_0_17_17, all_54_2_44) | m2_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_54_1_43, all_54_0_42)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (128) with all_58_0_46 yields:
% 17.05/4.47 | (177) k9_isocat_2(all_0_15_15, all_0_13_13) = all_58_0_46 & m2_cat_1(all_58_0_46, all_0_12_12, all_0_13_13)
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (177) yields:
% 17.05/4.47 | (178) k9_isocat_2(all_0_15_15, all_0_13_13) = all_58_0_46
% 17.05/4.47 | (179) m2_cat_1(all_58_0_46, all_0_12_12, all_0_13_13)
% 17.05/4.47 |
% 17.05/4.47 | Instantiating (138) with all_60_0_47 yields:
% 17.05/4.47 | (180) k9_isocat_2(all_0_15_15, all_0_13_13) = all_60_0_47 & ! [v0] : ! [v1] : ( ~ (k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k2_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v0, all_60_0_47) = v1) & ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v0, all_60_0_47) = v1) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.47 |
% 17.05/4.47 | Applying alpha-rule on (180) yields:
% 17.05/4.47 | (181) k9_isocat_2(all_0_15_15, all_0_13_13) = all_60_0_47
% 17.05/4.47 | (182) ! [v0] : ! [v1] : ( ~ (k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k2_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v0, all_60_0_47) = v1)
% 17.05/4.47 | (183) ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v0, all_60_0_47) = v1) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating formula (182) with all_0_5_5, all_0_10_10 and discharging atoms k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_5_5, m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12), yields:
% 17.05/4.48 | (184) k2_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_60_0_47) = all_0_5_5
% 17.05/4.48 |
% 17.05/4.48 | Instantiating (137) with all_64_0_48 yields:
% 17.05/4.48 | (185) k9_isocat_2(all_0_15_15, all_0_13_13) = all_64_0_48 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v0, v1, v2, all_64_0_48) = v3) | ~ m2_nattra_1(v2, all_0_17_17, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_17_17, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v0, v1, v2, all_64_0_48) = v3)
% 17.05/4.48 |
% 17.05/4.48 | Applying alpha-rule on (185) yields:
% 17.05/4.48 | (186) k9_isocat_2(all_0_15_15, all_0_13_13) = all_64_0_48
% 17.05/4.48 | (187) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v0, v1, v2, all_64_0_48) = v3) | ~ m2_nattra_1(v2, all_0_17_17, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0, v1, v2) = v3)
% 17.05/4.48 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_17_17, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_17_17, all_0_12_12) | ~ m2_cat_1(v0, all_0_17_17, all_0_12_12) | k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, v0, v1, v2, all_64_0_48) = v3)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating (130) with all_67_0_49 yields:
% 17.05/4.48 | (189) m2_cat_1(all_67_0_49, all_0_15_15, all_0_13_13)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating (132) with all_71_0_51 yields:
% 17.05/4.48 | (190) m2_cat_1(all_71_0_51, all_0_13_13, all_0_15_15)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating (131) with all_73_0_52 yields:
% 17.05/4.48 | (191) m2_cat_1(all_73_0_52, all_0_15_15, all_0_15_15)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating (129) with all_77_0_54 yields:
% 17.05/4.48 | (192) k8_isocat_2(all_0_15_15, all_0_13_13) = all_77_0_54 & m2_cat_1(all_77_0_54, all_0_12_12, all_0_15_15)
% 17.05/4.48 |
% 17.05/4.48 | Applying alpha-rule on (192) yields:
% 17.05/4.48 | (193) k8_isocat_2(all_0_15_15, all_0_13_13) = all_77_0_54
% 17.05/4.48 | (194) m2_cat_1(all_77_0_54, all_0_12_12, all_0_15_15)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating (124) with all_79_0_55 yields:
% 17.05/4.48 | (195) k8_isocat_2(all_0_15_15, all_0_13_13) = all_79_0_55 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v0, v1, v2, all_79_0_55) = v3) | ~ m2_nattra_1(v2, all_0_13_13, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k13_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k13_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_13_13, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k6_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v0, v1, v2, all_79_0_55) = v3)
% 17.05/4.48 |
% 17.05/4.48 | Applying alpha-rule on (195) yields:
% 17.05/4.48 | (196) k8_isocat_2(all_0_15_15, all_0_13_13) = all_79_0_55
% 17.05/4.48 | (197) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v0, v1, v2, all_79_0_55) = v3) | ~ m2_nattra_1(v2, all_0_13_13, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k13_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0, v1, v2) = v3)
% 17.05/4.48 | (198) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k13_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_13_13, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k6_isocat_1(all_0_13_13, all_0_12_12, all_0_15_15, v0, v1, v2, all_79_0_55) = v3)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating (123) with all_82_0_56 yields:
% 17.05/4.48 | (199) k9_isocat_2(all_0_15_15, all_0_13_13) = all_82_0_56 & ! [v0] : ! [v1] : ( ~ (k12_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k2_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v0, all_82_0_56) = v1) & ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v0, all_82_0_56) = v1) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k12_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.48 |
% 17.05/4.48 | Applying alpha-rule on (199) yields:
% 17.05/4.48 | (200) k9_isocat_2(all_0_15_15, all_0_13_13) = all_82_0_56
% 17.05/4.48 | (201) ! [v0] : ! [v1] : ( ~ (k12_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k2_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v0, all_82_0_56) = v1)
% 17.05/4.48 | (202) ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v0, all_82_0_56) = v1) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k12_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating (122) with all_85_0_57 yields:
% 17.05/4.48 | (203) k9_isocat_2(all_0_15_15, all_0_13_13) = all_85_0_57 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v0, v1, v2, all_85_0_57) = v3) | ~ m2_nattra_1(v2, all_0_13_13, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k14_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k14_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_13_13, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k6_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v0, v1, v2, all_85_0_57) = v3)
% 17.05/4.48 |
% 17.05/4.48 | Applying alpha-rule on (203) yields:
% 17.05/4.48 | (204) k9_isocat_2(all_0_15_15, all_0_13_13) = all_85_0_57
% 17.05/4.48 | (205) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k6_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v0, v1, v2, all_85_0_57) = v3) | ~ m2_nattra_1(v2, all_0_13_13, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k14_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0, v1, v2) = v3)
% 17.05/4.48 | (206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k14_isocat_2(all_0_13_13, all_0_15_15, all_0_13_13, v0, v1, v2) = v3) | ~ m2_nattra_1(v2, all_0_13_13, all_0_12_12, v0, v1) | ~ m2_cat_1(v1, all_0_13_13, all_0_12_12) | ~ m2_cat_1(v0, all_0_13_13, all_0_12_12) | k6_isocat_1(all_0_13_13, all_0_12_12, all_0_13_13, v0, v1, v2, all_85_0_57) = v3)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating (121) with all_88_0_58 yields:
% 17.05/4.48 | (207) k8_isocat_2(all_0_15_15, all_0_13_13) = all_88_0_58 & ! [v0] : ! [v1] : ( ~ (k11_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k2_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v0, all_88_0_58) = v1) & ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v0, all_88_0_58) = v1) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k11_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.48 |
% 17.05/4.48 | Applying alpha-rule on (207) yields:
% 17.05/4.48 | (208) k8_isocat_2(all_0_15_15, all_0_13_13) = all_88_0_58
% 17.05/4.48 | (209) ! [v0] : ! [v1] : ( ~ (k11_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0) = v1) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k2_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v0, all_88_0_58) = v1)
% 17.05/4.48 | (210) ! [v0] : ! [v1] : ( ~ (k2_isocat_1(all_0_15_15, all_0_12_12, all_0_15_15, v0, all_88_0_58) = v1) | ~ m2_cat_1(v0, all_0_15_15, all_0_12_12) | k11_isocat_2(all_0_15_15, all_0_15_15, all_0_13_13, v0) = v1)
% 17.05/4.48 |
% 17.05/4.48 | Instantiating formula (34) with all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_54_0_42, all_0_5_5 and discharging atoms k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_54_0_42, k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_5_5, yields:
% 17.05/4.48 | (211) all_54_0_42 = all_0_5_5
% 17.05/4.48 |
% 17.05/4.48 | Instantiating formula (34) with all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_54_1_43, all_54_0_42 and discharging atoms k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_54_0_42, k12_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_54_1_43, yields:
% 17.05/4.48 | (212) all_54_0_42 = all_54_1_43
% 17.05/4.48 |
% 17.05/4.48 | Instantiating formula (78) with all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_52_0_39, all_0_9_9 and discharging atoms k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_52_0_39, k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_0_9_9, yields:
% 17.05/4.48 | (213) all_52_0_39 = all_0_9_9
% 17.05/4.48 |
% 17.05/4.48 | Instantiating formula (78) with all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_52_1_40, all_52_0_39 and discharging atoms k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_52_0_39, k11_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10) = all_52_1_40, yields:
% 17.05/4.48 | (214) all_52_0_39 = all_52_1_40
% 17.05/4.48 |
% 17.05/4.48 | Instantiating formula (95) with all_0_15_15, all_0_13_13, all_82_0_56, all_85_0_57 and discharging atoms k9_isocat_2(all_0_15_15, all_0_13_13) = all_85_0_57, k9_isocat_2(all_0_15_15, all_0_13_13) = all_82_0_56, yields:
% 17.05/4.48 | (215) all_85_0_57 = all_82_0_56
% 17.05/4.48 |
% 17.05/4.48 | Instantiating formula (95) with all_0_15_15, all_0_13_13, all_64_0_48, all_85_0_57 and discharging atoms k9_isocat_2(all_0_15_15, all_0_13_13) = all_85_0_57, k9_isocat_2(all_0_15_15, all_0_13_13) = all_64_0_48, yields:
% 17.05/4.48 | (216) all_85_0_57 = all_64_0_48
% 17.05/4.48 |
% 17.05/4.48 | Instantiating formula (95) with all_0_15_15, all_0_13_13, all_60_0_47, all_82_0_56 and discharging atoms k9_isocat_2(all_0_15_15, all_0_13_13) = all_82_0_56, k9_isocat_2(all_0_15_15, all_0_13_13) = all_60_0_47, yields:
% 17.05/4.48 | (217) all_82_0_56 = all_60_0_47
% 17.05/4.48 |
% 17.05/4.48 | Instantiating formula (95) with all_0_15_15, all_0_13_13, all_58_0_46, all_82_0_56 and discharging atoms k9_isocat_2(all_0_15_15, all_0_13_13) = all_82_0_56, k9_isocat_2(all_0_15_15, all_0_13_13) = all_58_0_46, yields:
% 17.21/4.48 | (218) all_82_0_56 = all_58_0_46
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (95) with all_0_15_15, all_0_13_13, all_29_0_30, all_82_0_56 and discharging atoms k9_isocat_2(all_0_15_15, all_0_13_13) = all_82_0_56, k9_isocat_2(all_0_15_15, all_0_13_13) = all_29_0_30, yields:
% 17.21/4.48 | (219) all_82_0_56 = all_29_0_30
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (95) with all_0_15_15, all_0_13_13, all_26_0_29, all_82_0_56 and discharging atoms k9_isocat_2(all_0_15_15, all_0_13_13) = all_82_0_56, k9_isocat_2(all_0_15_15, all_0_13_13) = all_26_0_29, yields:
% 17.21/4.48 | (220) all_82_0_56 = all_26_0_29
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (74) with all_0_15_15, all_0_13_13, all_77_0_54, all_88_0_58 and discharging atoms k8_isocat_2(all_0_15_15, all_0_13_13) = all_88_0_58, k8_isocat_2(all_0_15_15, all_0_13_13) = all_77_0_54, yields:
% 17.21/4.48 | (221) all_88_0_58 = all_77_0_54
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (74) with all_0_15_15, all_0_13_13, all_77_0_54, all_79_0_55 and discharging atoms k8_isocat_2(all_0_15_15, all_0_13_13) = all_79_0_55, k8_isocat_2(all_0_15_15, all_0_13_13) = all_77_0_54, yields:
% 17.21/4.48 | (222) all_79_0_55 = all_77_0_54
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (74) with all_0_15_15, all_0_13_13, all_49_0_38, all_79_0_55 and discharging atoms k8_isocat_2(all_0_15_15, all_0_13_13) = all_79_0_55, k8_isocat_2(all_0_15_15, all_0_13_13) = all_49_0_38, yields:
% 17.21/4.48 | (223) all_79_0_55 = all_49_0_38
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (74) with all_0_15_15, all_0_13_13, all_45_0_37, all_77_0_54 and discharging atoms k8_isocat_2(all_0_15_15, all_0_13_13) = all_77_0_54, k8_isocat_2(all_0_15_15, all_0_13_13) = all_45_0_37, yields:
% 17.21/4.48 | (224) all_77_0_54 = all_45_0_37
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (74) with all_0_15_15, all_0_13_13, all_38_0_34, all_45_0_37 and discharging atoms k8_isocat_2(all_0_15_15, all_0_13_13) = all_45_0_37, k8_isocat_2(all_0_15_15, all_0_13_13) = all_38_0_34, yields:
% 17.21/4.48 | (225) all_45_0_37 = all_38_0_34
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (74) with all_0_15_15, all_0_13_13, all_23_0_28, all_88_0_58 and discharging atoms k8_isocat_2(all_0_15_15, all_0_13_13) = all_88_0_58, k8_isocat_2(all_0_15_15, all_0_13_13) = all_23_0_28, yields:
% 17.21/4.48 | (226) all_88_0_58 = all_23_0_28
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (46) with all_0_15_15, all_0_13_13, all_54_2_44, all_0_12_12 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_54_2_44, k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, yields:
% 17.21/4.48 | (227) all_54_2_44 = all_0_12_12
% 17.21/4.48 |
% 17.21/4.48 | Instantiating formula (46) with all_0_15_15, all_0_13_13, all_52_2_41, all_54_2_44 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_54_2_44, k11_cat_2(all_0_15_15, all_0_13_13) = all_52_2_41, yields:
% 17.21/4.48 | (228) all_54_2_44 = all_52_2_41
% 17.21/4.48 |
% 17.21/4.48 | Combining equations (221,226) yields a new equation:
% 17.21/4.48 | (229) all_77_0_54 = all_23_0_28
% 17.21/4.48 |
% 17.21/4.48 | Simplifying 229 yields:
% 17.21/4.48 | (230) all_77_0_54 = all_23_0_28
% 17.21/4.48 |
% 17.21/4.49 | Combining equations (215,216) yields a new equation:
% 17.21/4.49 | (231) all_82_0_56 = all_64_0_48
% 17.21/4.49 |
% 17.21/4.49 | Simplifying 231 yields:
% 17.21/4.49 | (232) all_82_0_56 = all_64_0_48
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (217,232) yields a new equation:
% 17.21/4.49 | (233) all_64_0_48 = all_60_0_47
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (218,232) yields a new equation:
% 17.21/4.49 | (234) all_64_0_48 = all_58_0_46
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (220,232) yields a new equation:
% 17.21/4.49 | (235) all_64_0_48 = all_26_0_29
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (219,232) yields a new equation:
% 17.21/4.49 | (236) all_64_0_48 = all_29_0_30
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (222,223) yields a new equation:
% 17.21/4.49 | (237) all_77_0_54 = all_49_0_38
% 17.21/4.49 |
% 17.21/4.49 | Simplifying 237 yields:
% 17.21/4.49 | (238) all_77_0_54 = all_49_0_38
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (230,238) yields a new equation:
% 17.21/4.49 | (239) all_49_0_38 = all_23_0_28
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (224,238) yields a new equation:
% 17.21/4.49 | (240) all_49_0_38 = all_45_0_37
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (234,233) yields a new equation:
% 17.21/4.49 | (241) all_60_0_47 = all_58_0_46
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (236,233) yields a new equation:
% 17.21/4.49 | (242) all_60_0_47 = all_29_0_30
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (235,233) yields a new equation:
% 17.21/4.49 | (243) all_60_0_47 = all_26_0_29
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (243,241) yields a new equation:
% 17.21/4.49 | (244) all_58_0_46 = all_26_0_29
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (242,241) yields a new equation:
% 17.21/4.49 | (245) all_58_0_46 = all_29_0_30
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (244,245) yields a new equation:
% 17.21/4.49 | (246) all_29_0_30 = all_26_0_29
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (212,211) yields a new equation:
% 17.21/4.49 | (247) all_54_1_43 = all_0_5_5
% 17.21/4.49 |
% 17.21/4.49 | Simplifying 247 yields:
% 17.21/4.49 | (248) all_54_1_43 = all_0_5_5
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (228,227) yields a new equation:
% 17.21/4.49 | (249) all_52_2_41 = all_0_12_12
% 17.21/4.49 |
% 17.21/4.49 | Simplifying 249 yields:
% 17.21/4.49 | (250) all_52_2_41 = all_0_12_12
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (214,213) yields a new equation:
% 17.21/4.49 | (251) all_52_1_40 = all_0_9_9
% 17.21/4.49 |
% 17.21/4.49 | Simplifying 251 yields:
% 17.21/4.49 | (252) all_52_1_40 = all_0_9_9
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (240,239) yields a new equation:
% 17.21/4.49 | (253) all_45_0_37 = all_23_0_28
% 17.21/4.49 |
% 17.21/4.49 | Simplifying 253 yields:
% 17.21/4.49 | (254) all_45_0_37 = all_23_0_28
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (254,225) yields a new equation:
% 17.21/4.49 | (255) all_38_0_34 = all_23_0_28
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (255,225) yields a new equation:
% 17.21/4.49 | (254) all_45_0_37 = all_23_0_28
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (246,245) yields a new equation:
% 17.21/4.49 | (244) all_58_0_46 = all_26_0_29
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (244,241) yields a new equation:
% 17.21/4.49 | (243) all_60_0_47 = all_26_0_29
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (243,233) yields a new equation:
% 17.21/4.49 | (235) all_64_0_48 = all_26_0_29
% 17.21/4.49 |
% 17.21/4.49 | Combining equations (239,238) yields a new equation:
% 17.21/4.49 | (230) all_77_0_54 = all_23_0_28
% 17.21/4.49 |
% 17.21/4.49 | From (243) and (184) follows:
% 17.21/4.49 | (261) k2_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_26_0_29) = all_0_5_5
% 17.21/4.49 |
% 17.21/4.49 | From (254) and (162) follows:
% 17.21/4.49 | (262) k2_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_23_0_28) = all_0_9_9
% 17.21/4.49 |
% 17.21/4.49 | From (250) and (170) follows:
% 17.21/4.49 | (48) k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12
% 17.21/4.49 |
% 17.21/4.49 | From (230) and (194) follows:
% 17.21/4.49 | (264) m2_cat_1(all_23_0_28, all_0_12_12, all_0_15_15)
% 17.21/4.49 |
% 17.21/4.49 | From (244) and (179) follows:
% 17.21/4.49 | (265) m2_cat_1(all_26_0_29, all_0_12_12, all_0_13_13)
% 17.21/4.49 |
% 17.21/4.49 +-Applying beta-rule and splitting (136), into two cases.
% 17.21/4.49 |-Branch one:
% 17.21/4.49 | (266) m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15)
% 17.21/4.49 |
% 17.21/4.49 +-Applying beta-rule and splitting (135), into two cases.
% 17.21/4.49 |-Branch one:
% 17.21/4.49 | (267) m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (36) with all_73_0_52, all_0_14_14, all_0_14_14, all_0_15_15, all_0_15_15 and discharging atoms u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_73_0_52, all_0_15_15, all_0_15_15), l1_cat_1(all_0_15_15), v2_cat_1(all_0_15_15), yields:
% 17.21/4.49 | (268) m2_relset_1(all_73_0_52, all_0_14_14, all_0_14_14)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (85) with all_73_0_52, all_0_14_14, all_0_14_14, all_0_15_15, all_0_15_15 and discharging atoms u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_73_0_52, all_0_15_15, all_0_15_15), l1_cat_1(all_0_15_15), v2_cat_1(all_0_15_15), yields:
% 17.21/4.49 | (269) v1_funct_2(all_73_0_52, all_0_14_14, all_0_14_14)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (102) with all_73_0_52, all_0_14_14, all_0_14_14, all_0_15_15, all_0_15_15 and discharging atoms u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_73_0_52, all_0_15_15, all_0_15_15), l1_cat_1(all_0_15_15), v2_cat_1(all_0_15_15), yields:
% 17.21/4.49 | (270) v1_funct_1(all_73_0_52)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (36) with all_71_0_51, all_0_14_14, all_0_11_11, all_0_15_15, all_0_13_13 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_71_0_51, all_0_13_13, all_0_15_15), l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.21/4.49 | (271) m2_relset_1(all_71_0_51, all_0_11_11, all_0_14_14)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (85) with all_71_0_51, all_0_14_14, all_0_11_11, all_0_15_15, all_0_13_13 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_71_0_51, all_0_13_13, all_0_15_15), l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.21/4.49 | (272) v1_funct_2(all_71_0_51, all_0_11_11, all_0_14_14)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (102) with all_71_0_51, all_0_14_14, all_0_11_11, all_0_15_15, all_0_13_13 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_71_0_51, all_0_13_13, all_0_15_15), l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.21/4.49 | (273) v1_funct_1(all_71_0_51)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (36) with all_67_0_49, all_0_11_11, all_0_14_14, all_0_13_13, all_0_15_15 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_67_0_49, all_0_15_15, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.21/4.49 | (274) m2_relset_1(all_67_0_49, all_0_14_14, all_0_11_11)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (85) with all_67_0_49, all_0_11_11, all_0_14_14, all_0_13_13, all_0_15_15 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_67_0_49, all_0_15_15, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.21/4.49 | (275) v1_funct_2(all_67_0_49, all_0_14_14, all_0_11_11)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (102) with all_67_0_49, all_0_11_11, all_0_14_14, all_0_13_13, all_0_15_15 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_67_0_49, all_0_15_15, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_15_15), v2_cat_1(all_0_13_13), v2_cat_1(all_0_15_15), yields:
% 17.21/4.49 | (276) v1_funct_1(all_67_0_49)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (36) with all_41_0_35, all_0_11_11, all_0_11_11, all_0_13_13, all_0_13_13 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, m2_cat_1(all_41_0_35, all_0_13_13, all_0_13_13), l1_cat_1(all_0_13_13), v2_cat_1(all_0_13_13), yields:
% 17.21/4.49 | (277) m2_relset_1(all_41_0_35, all_0_11_11, all_0_11_11)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (85) with all_41_0_35, all_0_11_11, all_0_11_11, all_0_13_13, all_0_13_13 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, m2_cat_1(all_41_0_35, all_0_13_13, all_0_13_13), l1_cat_1(all_0_13_13), v2_cat_1(all_0_13_13), yields:
% 17.21/4.49 | (278) v1_funct_2(all_41_0_35, all_0_11_11, all_0_11_11)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (102) with all_41_0_35, all_0_11_11, all_0_11_11, all_0_13_13, all_0_13_13 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, m2_cat_1(all_41_0_35, all_0_13_13, all_0_13_13), l1_cat_1(all_0_13_13), v2_cat_1(all_0_13_13), yields:
% 17.21/4.49 | (279) v1_funct_1(all_41_0_35)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (2) with all_0_4_4, all_0_5_5, all_0_13_13, all_0_17_17 and discharging atoms k7_nattra_1(all_0_17_17, all_0_13_13, all_0_5_5) = all_0_4_4, m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.49 | (280) m2_nattra_1(all_0_4_4, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (2) with all_0_8_8, all_0_9_9, all_0_15_15, all_0_17_17 and discharging atoms k7_nattra_1(all_0_17_17, all_0_15_15, all_0_9_9) = all_0_8_8, m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.49 | (281) m2_nattra_1(all_0_8_8, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (2) with all_0_7_7, all_0_10_10, all_0_12_12, all_0_17_17 and discharging atoms k7_nattra_1(all_0_17_17, all_0_12_12, all_0_10_10) = all_0_7_7, m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12), l1_cat_1(all_0_12_12), l1_cat_1(all_0_17_17), v2_cat_1(all_0_12_12), v2_cat_1(all_0_17_17), yields:
% 17.21/4.49 | (282) m2_nattra_1(all_0_7_7, all_0_17_17, all_0_12_12, all_0_10_10, all_0_10_10)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (54) with all_0_4_4, all_0_5_5, all_26_0_29, all_0_7_7, all_0_10_10, all_0_11_11, all_0_13_13, all_0_12_12, all_0_16_16, all_0_17_17 and discharging atoms k7_nattra_1(all_0_17_17, all_0_12_12, all_0_10_10) = all_0_7_7, k7_nattra_1(all_0_17_17, all_0_13_13, all_0_5_5) = all_0_4_4, k2_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_26_0_29) = all_0_5_5, u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_13_13) = all_0_11_11, m2_cat_1(all_26_0_29, all_0_12_12, all_0_13_13), m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12), l1_cat_1(all_0_12_12), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_12_12), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.49 | (283) ? [v0] : (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7, all_26_0_29) = v0 & r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, v0, all_0_4_4))
% 17.21/4.49 |
% 17.21/4.49 | Instantiating formula (54) with all_0_8_8, all_0_9_9, all_23_0_28, all_0_7_7, all_0_10_10, all_0_14_14, all_0_15_15, all_0_12_12, all_0_16_16, all_0_17_17 and discharging atoms k7_nattra_1(all_0_17_17, all_0_12_12, all_0_10_10) = all_0_7_7, k7_nattra_1(all_0_17_17, all_0_15_15, all_0_9_9) = all_0_8_8, k2_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_23_0_28) = all_0_9_9, u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_15_15) = all_0_14_14, m2_cat_1(all_23_0_28, all_0_12_12, all_0_15_15), m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12), l1_cat_1(all_0_12_12), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_12_12), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.49 | (284) ? [v0] : (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_0_10_10, all_0_7_7, all_23_0_28) = v0 & r4_nattra_1(all_0_16_16, all_0_14_14, all_0_16_16, all_0_14_14, v0, all_0_8_8))
% 17.21/4.49 |
% 17.21/4.49 | Instantiating (284) with all_256_0_125 yields:
% 17.21/4.49 | (285) k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_0_10_10, all_0_7_7, all_23_0_28) = all_256_0_125 & r4_nattra_1(all_0_16_16, all_0_14_14, all_0_16_16, all_0_14_14, all_256_0_125, all_0_8_8)
% 17.21/4.49 |
% 17.21/4.49 | Applying alpha-rule on (285) yields:
% 17.21/4.49 | (286) k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_0_10_10, all_0_7_7, all_23_0_28) = all_256_0_125
% 17.21/4.49 | (287) r4_nattra_1(all_0_16_16, all_0_14_14, all_0_16_16, all_0_14_14, all_256_0_125, all_0_8_8)
% 17.21/4.49 |
% 17.21/4.49 | Instantiating (283) with all_267_0_129 yields:
% 17.21/4.49 | (288) k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7, all_26_0_29) = all_267_0_129 & r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, all_267_0_129, all_0_4_4)
% 17.21/4.49 |
% 17.21/4.49 | Applying alpha-rule on (288) yields:
% 17.21/4.49 | (289) k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7, all_26_0_29) = all_267_0_129
% 17.21/4.49 | (290) r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, all_267_0_129, all_0_4_4)
% 17.21/4.49 |
% 17.21/4.49 +-Applying beta-rule and splitting (176), into two cases.
% 17.21/4.49 |-Branch one:
% 17.21/4.50 | (291) ~ m2_cat_1(all_0_10_10, all_0_17_17, all_54_2_44)
% 17.21/4.50 |
% 17.21/4.50 | From (227) and (291) follows:
% 17.21/4.50 | (292) ~ m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12)
% 17.21/4.50 |
% 17.21/4.50 | Using (90) and (292) yields:
% 17.21/4.50 | (293) $false
% 17.21/4.50 |
% 17.21/4.50 |-The branch is then unsatisfiable
% 17.21/4.50 |-Branch two:
% 17.21/4.50 | (294) m2_cat_1(all_0_10_10, all_0_17_17, all_54_2_44)
% 17.21/4.50 | (295) ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_54_2_44, all_0_10_10, all_0_10_10) | m2_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_54_1_43, all_54_0_42)
% 17.21/4.50 |
% 17.21/4.50 | From (227) and (294) follows:
% 17.21/4.50 | (90) m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12)
% 17.21/4.50 |
% 17.21/4.50 +-Applying beta-rule and splitting (171), into two cases.
% 17.21/4.50 |-Branch one:
% 17.21/4.50 | (297) ~ m2_cat_1(all_0_10_10, all_0_17_17, all_52_2_41)
% 17.21/4.50 |
% 17.21/4.50 | From (250) and (297) follows:
% 17.21/4.50 | (292) ~ m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12)
% 17.21/4.50 |
% 17.21/4.50 | Using (90) and (292) yields:
% 17.21/4.50 | (293) $false
% 17.21/4.50 |
% 17.21/4.50 |-The branch is then unsatisfiable
% 17.21/4.50 |-Branch two:
% 17.21/4.50 | (300) m2_cat_1(all_0_10_10, all_0_17_17, all_52_2_41)
% 17.21/4.50 | (301) ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_52_2_41, all_0_10_10, all_0_10_10) | m2_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_52_1_40, all_52_0_39)
% 17.21/4.50 |
% 17.21/4.50 | From (250) and (300) follows:
% 17.21/4.50 | (90) m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12)
% 17.21/4.50 |
% 17.21/4.50 +-Applying beta-rule and splitting (295), into two cases.
% 17.21/4.50 |-Branch one:
% 17.21/4.50 | (303) ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_54_2_44, all_0_10_10, all_0_10_10)
% 17.21/4.50 |
% 17.21/4.50 | From (227) and (303) follows:
% 17.21/4.50 | (304) ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_0_12_12, all_0_10_10, all_0_10_10)
% 17.21/4.50 |
% 17.21/4.50 | Using (282) and (304) yields:
% 17.21/4.50 | (293) $false
% 17.21/4.50 |
% 17.21/4.50 |-The branch is then unsatisfiable
% 17.21/4.50 |-Branch two:
% 17.21/4.50 | (306) m2_nattra_1(all_0_7_7, all_0_17_17, all_54_2_44, all_0_10_10, all_0_10_10)
% 17.21/4.50 | (307) m2_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_54_1_43, all_54_0_42)
% 17.21/4.50 |
% 17.21/4.50 | From (248)(211) and (307) follows:
% 17.21/4.50 | (308) m2_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5)
% 17.21/4.50 |
% 17.21/4.50 | From (227) and (306) follows:
% 17.21/4.50 | (282) m2_nattra_1(all_0_7_7, all_0_17_17, all_0_12_12, all_0_10_10, all_0_10_10)
% 17.21/4.50 |
% 17.21/4.50 +-Applying beta-rule and splitting (301), into two cases.
% 17.21/4.50 |-Branch one:
% 17.21/4.50 | (310) ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_52_2_41, all_0_10_10, all_0_10_10)
% 17.21/4.50 |
% 17.21/4.50 | From (250) and (310) follows:
% 17.21/4.50 | (304) ~ m2_nattra_1(all_0_7_7, all_0_17_17, all_0_12_12, all_0_10_10, all_0_10_10)
% 17.21/4.50 |
% 17.21/4.50 | Using (282) and (304) yields:
% 17.21/4.50 | (293) $false
% 17.21/4.50 |
% 17.21/4.50 |-The branch is then unsatisfiable
% 17.21/4.50 |-Branch two:
% 17.21/4.50 | (313) m2_nattra_1(all_0_7_7, all_0_17_17, all_52_2_41, all_0_10_10, all_0_10_10)
% 17.21/4.50 | (314) m2_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_52_1_40, all_52_0_39)
% 17.21/4.50 |
% 17.21/4.50 | From (252)(213) and (314) follows:
% 17.21/4.50 | (315) m2_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9)
% 17.21/4.50 |
% 17.21/4.50 | From (250) and (313) follows:
% 17.21/4.50 | (282) m2_nattra_1(all_0_7_7, all_0_17_17, all_0_12_12, all_0_10_10, all_0_10_10)
% 17.21/4.50 |
% 17.21/4.50 +-Applying beta-rule and splitting (29), into two cases.
% 17.21/4.50 |-Branch one:
% 17.21/4.50 | (317) ~ r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, all_0_4_4, all_0_3_3)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (42) with all_0_3_3, all_0_5_5, all_0_5_5, all_0_13_13, all_0_17_17 and discharging atoms m2_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5), m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.50 | (318) m1_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (42) with all_0_4_4, all_0_5_5, all_0_5_5, all_0_13_13, all_0_17_17 and discharging atoms m2_nattra_1(all_0_4_4, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5), m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.50 | (319) m1_nattra_1(all_0_4_4, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (187) with all_267_0_129, all_0_7_7, all_0_10_10, all_0_10_10 and discharging atoms m2_nattra_1(all_0_7_7, all_0_17_17, all_0_12_12, all_0_10_10, all_0_10_10), m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12), yields:
% 17.21/4.50 | (320) ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7, all_64_0_48) = all_267_0_129) | k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_267_0_129
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (50) with all_73_0_52, all_0_14_14, all_0_14_14 and discharging atoms m2_relset_1(all_73_0_52, all_0_14_14, all_0_14_14), yields:
% 17.21/4.50 | (321) m1_relset_1(all_73_0_52, all_0_14_14, all_0_14_14)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (50) with all_71_0_51, all_0_14_14, all_0_11_11 and discharging atoms m2_relset_1(all_71_0_51, all_0_11_11, all_0_14_14), yields:
% 17.21/4.50 | (322) m1_relset_1(all_71_0_51, all_0_11_11, all_0_14_14)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (50) with all_67_0_49, all_0_11_11, all_0_14_14 and discharging atoms m2_relset_1(all_67_0_49, all_0_14_14, all_0_11_11), yields:
% 17.21/4.50 | (323) m1_relset_1(all_67_0_49, all_0_14_14, all_0_11_11)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (50) with all_41_0_35, all_0_11_11, all_0_11_11 and discharging atoms m2_relset_1(all_41_0_35, all_0_11_11, all_0_11_11), yields:
% 17.21/4.50 | (324) m1_relset_1(all_41_0_35, all_0_11_11, all_0_11_11)
% 17.21/4.50 |
% 17.21/4.50 +-Applying beta-rule and splitting (320), into two cases.
% 17.21/4.50 |-Branch one:
% 17.21/4.50 | (325) ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7, all_64_0_48) = all_267_0_129)
% 17.21/4.50 |
% 17.21/4.50 | From (235) and (325) follows:
% 17.21/4.50 | (326) ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7, all_26_0_29) = all_267_0_129)
% 17.21/4.50 |
% 17.21/4.50 | Using (289) and (326) yields:
% 17.21/4.50 | (293) $false
% 17.21/4.50 |
% 17.21/4.50 |-The branch is then unsatisfiable
% 17.21/4.50 |-Branch two:
% 17.21/4.50 | (328) k6_isocat_1(all_0_17_17, all_0_12_12, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7, all_64_0_48) = all_267_0_129
% 17.21/4.50 | (329) k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_267_0_129
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (114) with all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7, all_267_0_129, all_0_3_3 and discharging atoms k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_267_0_129, k14_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_0_3_3, yields:
% 17.21/4.50 | (330) all_267_0_129 = all_0_3_3
% 17.21/4.50 |
% 17.21/4.50 | From (330) and (290) follows:
% 17.21/4.50 | (331) r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, all_0_3_3, all_0_4_4)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_73_0_52, all_71_0_51, all_0_14_14, all_0_14_14, all_0_14_14, all_0_11_11 and discharging atoms m1_relset_1(all_73_0_52, all_0_14_14, all_0_14_14), m1_relset_1(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_2(all_73_0_52, all_0_14_14, all_0_14_14), v1_funct_2(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_1(all_73_0_52), v1_funct_1(all_71_0_51), yields:
% 17.21/4.50 | (332) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_14_14, all_0_14_14, all_0_14_14, all_71_0_51, all_71_0_51)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_71_0_51, all_73_0_52, all_0_14_14, all_0_11_11, all_0_14_14, all_0_14_14 and discharging atoms m1_relset_1(all_73_0_52, all_0_14_14, all_0_14_14), m1_relset_1(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_2(all_73_0_52, all_0_14_14, all_0_14_14), v1_funct_2(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_1(all_73_0_52), v1_funct_1(all_71_0_51), yields:
% 17.21/4.50 | (333) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_14_14, all_0_11_11, all_0_14_14, all_73_0_52, all_73_0_52)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_71_0_51, all_71_0_51, all_0_14_14, all_0_11_11, all_0_14_14, all_0_11_11 and discharging atoms m1_relset_1(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_2(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_1(all_71_0_51), yields:
% 17.21/4.50 | (334) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_14_14, all_0_11_11, all_0_14_14, all_71_0_51, all_71_0_51)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_73_0_52, all_67_0_49, all_0_14_14, all_0_14_14, all_0_11_11, all_0_14_14 and discharging atoms m1_relset_1(all_73_0_52, all_0_14_14, all_0_14_14), m1_relset_1(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_2(all_73_0_52, all_0_14_14, all_0_14_14), v1_funct_2(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_1(all_73_0_52), v1_funct_1(all_67_0_49), yields:
% 17.21/4.50 | (335) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_11_11, all_0_14_14, all_0_14_14, all_67_0_49, all_67_0_49)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_67_0_49, all_73_0_52, all_0_11_11, all_0_14_14, all_0_14_14, all_0_14_14 and discharging atoms m1_relset_1(all_73_0_52, all_0_14_14, all_0_14_14), m1_relset_1(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_2(all_73_0_52, all_0_14_14, all_0_14_14), v1_funct_2(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_1(all_73_0_52), v1_funct_1(all_67_0_49), yields:
% 17.21/4.50 | (336) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_14_14, all_0_14_14, all_0_11_11, all_73_0_52, all_73_0_52)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_71_0_51, all_67_0_49, all_0_14_14, all_0_11_11, all_0_11_11, all_0_14_14 and discharging atoms m1_relset_1(all_71_0_51, all_0_11_11, all_0_14_14), m1_relset_1(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_2(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_2(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_1(all_71_0_51), v1_funct_1(all_67_0_49), yields:
% 17.21/4.50 | (337) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_11_11, all_0_11_11, all_0_14_14, all_67_0_49, all_67_0_49)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_67_0_49, all_71_0_51, all_0_11_11, all_0_14_14, all_0_14_14, all_0_11_11 and discharging atoms m1_relset_1(all_71_0_51, all_0_11_11, all_0_14_14), m1_relset_1(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_2(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_2(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_1(all_71_0_51), v1_funct_1(all_67_0_49), yields:
% 17.21/4.50 | (338) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_14_14, all_0_14_14, all_0_11_11, all_71_0_51, all_71_0_51)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_67_0_49, all_67_0_49, all_0_11_11, all_0_14_14, all_0_11_11, all_0_14_14 and discharging atoms m1_relset_1(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_2(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_1(all_67_0_49), yields:
% 17.21/4.50 | (339) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_11_11, all_0_14_14, all_0_11_11, all_67_0_49, all_67_0_49)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_73_0_52, all_41_0_35, all_0_14_14, all_0_14_14, all_0_11_11, all_0_11_11 and discharging atoms m1_relset_1(all_73_0_52, all_0_14_14, all_0_14_14), m1_relset_1(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_2(all_73_0_52, all_0_14_14, all_0_14_14), v1_funct_2(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_1(all_73_0_52), v1_funct_1(all_41_0_35), yields:
% 17.21/4.50 | (340) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_11_11, all_0_14_14, all_0_14_14, all_41_0_35, all_41_0_35)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_41_0_35, all_73_0_52, all_0_11_11, all_0_11_11, all_0_14_14, all_0_14_14 and discharging atoms m1_relset_1(all_73_0_52, all_0_14_14, all_0_14_14), m1_relset_1(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_2(all_73_0_52, all_0_14_14, all_0_14_14), v1_funct_2(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_1(all_73_0_52), v1_funct_1(all_41_0_35), yields:
% 17.21/4.50 | (341) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_14_14, all_0_11_11, all_0_11_11, all_73_0_52, all_73_0_52)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_71_0_51, all_41_0_35, all_0_14_14, all_0_11_11, all_0_11_11, all_0_11_11 and discharging atoms m1_relset_1(all_71_0_51, all_0_11_11, all_0_14_14), m1_relset_1(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_2(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_2(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_1(all_71_0_51), v1_funct_1(all_41_0_35), yields:
% 17.21/4.50 | (342) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_11_11, all_0_11_11, all_0_14_14, all_41_0_35, all_41_0_35)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_41_0_35, all_71_0_51, all_0_11_11, all_0_11_11, all_0_14_14, all_0_11_11 and discharging atoms m1_relset_1(all_71_0_51, all_0_11_11, all_0_14_14), m1_relset_1(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_2(all_71_0_51, all_0_11_11, all_0_14_14), v1_funct_2(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_1(all_71_0_51), v1_funct_1(all_41_0_35), yields:
% 17.21/4.50 | (343) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_14_14, all_0_11_11, all_0_11_11, all_71_0_51, all_71_0_51)
% 17.21/4.50 |
% 17.21/4.50 | Instantiating formula (99) with all_67_0_49, all_41_0_35, all_0_11_11, all_0_14_14, all_0_11_11, all_0_11_11 and discharging atoms m1_relset_1(all_67_0_49, all_0_14_14, all_0_11_11), m1_relset_1(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_2(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_2(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_1(all_67_0_49), v1_funct_1(all_41_0_35), yields:
% 17.21/4.51 | (344) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_11_11, all_0_14_14, all_0_11_11, all_41_0_35, all_41_0_35)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (99) with all_41_0_35, all_67_0_49, all_0_11_11, all_0_11_11, all_0_11_11, all_0_14_14 and discharging atoms m1_relset_1(all_67_0_49, all_0_14_14, all_0_11_11), m1_relset_1(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_2(all_67_0_49, all_0_14_14, all_0_11_11), v1_funct_2(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_1(all_67_0_49), v1_funct_1(all_41_0_35), yields:
% 17.21/4.51 | (345) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_11_11, all_0_11_11, all_0_11_11, all_67_0_49, all_67_0_49)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (99) with all_41_0_35, all_41_0_35, all_0_11_11, all_0_11_11, all_0_11_11, all_0_11_11 and discharging atoms m1_relset_1(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_2(all_41_0_35, all_0_11_11, all_0_11_11), v1_funct_1(all_41_0_35), yields:
% 17.21/4.51 | (346) v1_xboole_0(all_0_11_11) | r4_nattra_1(all_0_11_11, all_0_11_11, all_0_11_11, all_0_11_11, all_41_0_35, all_41_0_35)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (94) with all_0_3_3, all_0_11_11, all_0_16_16, all_0_5_5, all_0_5_5, all_0_13_13, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_13_13) = all_0_11_11, m1_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5), m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.51 | (347) m2_relset_1(all_0_3_3, all_0_16_16, all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (21) with all_0_3_3, all_0_11_11, all_0_16_16, all_0_5_5, all_0_5_5, all_0_13_13, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_13_13) = all_0_11_11, m1_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5), m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.51 | (348) v1_funct_2(all_0_3_3, all_0_16_16, all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (79) with all_0_3_3, all_0_11_11, all_0_16_16, all_0_5_5, all_0_5_5, all_0_13_13, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_13_13) = all_0_11_11, m1_nattra_1(all_0_3_3, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5), m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.51 | (349) v1_funct_1(all_0_3_3)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (94) with all_0_4_4, all_0_11_11, all_0_16_16, all_0_5_5, all_0_5_5, all_0_13_13, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_13_13) = all_0_11_11, m1_nattra_1(all_0_4_4, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5), m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.51 | (350) m2_relset_1(all_0_4_4, all_0_16_16, all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (21) with all_0_4_4, all_0_11_11, all_0_16_16, all_0_5_5, all_0_5_5, all_0_13_13, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_13_13) = all_0_11_11, m1_nattra_1(all_0_4_4, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5), m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.51 | (351) v1_funct_2(all_0_4_4, all_0_16_16, all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (79) with all_0_4_4, all_0_11_11, all_0_16_16, all_0_5_5, all_0_5_5, all_0_13_13, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_13_13) = all_0_11_11, m1_nattra_1(all_0_4_4, all_0_17_17, all_0_13_13, all_0_5_5, all_0_5_5), m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13), l1_cat_1(all_0_13_13), l1_cat_1(all_0_17_17), v2_cat_1(all_0_13_13), v2_cat_1(all_0_17_17), yields:
% 17.21/4.51 | (352) v1_funct_1(all_0_4_4)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (50) with all_0_3_3, all_0_11_11, all_0_16_16 and discharging atoms m2_relset_1(all_0_3_3, all_0_16_16, all_0_11_11), yields:
% 17.21/4.51 | (353) m1_relset_1(all_0_3_3, all_0_16_16, all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (50) with all_0_4_4, all_0_11_11, all_0_16_16 and discharging atoms m2_relset_1(all_0_4_4, all_0_16_16, all_0_11_11), yields:
% 17.21/4.51 | (354) m1_relset_1(all_0_4_4, all_0_16_16, all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (108) with all_0_4_4, all_0_3_3, all_0_11_11, all_0_16_16, all_0_11_11, all_0_16_16 and discharging atoms m1_relset_1(all_0_3_3, all_0_16_16, all_0_11_11), m1_relset_1(all_0_4_4, all_0_16_16, all_0_11_11), v1_funct_2(all_0_3_3, all_0_16_16, all_0_11_11), v1_funct_2(all_0_4_4, all_0_16_16, all_0_11_11), v1_funct_1(all_0_3_3), v1_funct_1(all_0_4_4), r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, all_0_3_3, all_0_4_4), ~ r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, all_0_4_4, all_0_3_3), yields:
% 17.21/4.51 | (355) v1_xboole_0(all_0_11_11) | v1_xboole_0(all_0_16_16)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (346), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (8) with all_0_11_11, all_0_13_13 and discharging atoms u2_cat_1(all_0_13_13) = all_0_11_11, v1_xboole_0(all_0_11_11), l1_cat_1(all_0_13_13), yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (359) r4_nattra_1(all_0_11_11, all_0_11_11, all_0_11_11, all_0_11_11, all_41_0_35, all_41_0_35)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (343), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (363) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_14_14, all_0_11_11, all_0_11_11, all_71_0_51, all_71_0_51)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (334), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (367) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_14_14, all_0_11_11, all_0_14_14, all_71_0_51, all_71_0_51)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (341), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (371) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_14_14, all_0_11_11, all_0_11_11, all_73_0_52, all_73_0_52)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (340), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (375) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_11_11, all_0_14_14, all_0_14_14, all_41_0_35, all_41_0_35)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (332), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (379) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_14_14, all_0_14_14, all_0_14_14, all_71_0_51, all_71_0_51)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (333), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (383) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_14_14, all_0_11_11, all_0_14_14, all_73_0_52, all_73_0_52)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (342), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (387) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_11_11, all_0_11_11, all_0_14_14, all_41_0_35, all_41_0_35)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (338), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (391) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_14_14, all_0_14_14, all_0_11_11, all_71_0_51, all_71_0_51)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (345), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (395) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_11_11, all_0_11_11, all_0_11_11, all_67_0_49, all_67_0_49)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (336), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (399) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_14_14, all_0_14_14, all_0_11_11, all_73_0_52, all_73_0_52)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (339), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (403) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_11_11, all_0_14_14, all_0_11_11, all_67_0_49, all_67_0_49)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (344), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (407) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_11_11, all_0_11_11, all_0_14_14, all_0_11_11, all_41_0_35, all_41_0_35)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (335), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (411) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_11_11, all_0_14_14, all_0_14_14, all_67_0_49, all_67_0_49)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (337), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (415) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_11_11, all_0_11_11, all_0_14_14, all_67_0_49, all_67_0_49)
% 17.21/4.51 |
% 17.21/4.51 +-Applying beta-rule and splitting (355), into two cases.
% 17.21/4.51 |-Branch one:
% 17.21/4.51 | (356) v1_xboole_0(all_0_11_11)
% 17.21/4.51 |
% 17.21/4.51 | Using (356) and (358) yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.51 |-Branch two:
% 17.21/4.51 | (358) ~ v1_xboole_0(all_0_11_11)
% 17.21/4.51 | (419) v1_xboole_0(all_0_16_16)
% 17.21/4.51 |
% 17.21/4.51 | Instantiating formula (22) with all_0_16_16, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, v1_xboole_0(all_0_16_16), l1_cat_1(all_0_17_17), yields:
% 17.21/4.51 | (293) $false
% 17.21/4.51 |
% 17.21/4.51 |-The branch is then unsatisfiable
% 17.21/4.52 |-Branch two:
% 17.21/4.52 | (421) r4_nattra_1(all_0_16_16, all_0_11_11, all_0_16_16, all_0_11_11, all_0_4_4, all_0_3_3)
% 17.21/4.52 | (422) ~ r4_nattra_1(all_0_16_16, all_0_14_14, all_0_16_16, all_0_14_14, all_0_8_8, all_0_6_6)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (42) with all_0_6_6, all_0_9_9, all_0_9_9, all_0_15_15, all_0_17_17 and discharging atoms m2_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9), m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.52 | (423) m1_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (165) with all_256_0_125, all_0_7_7, all_0_10_10, all_0_10_10 and discharging atoms m2_nattra_1(all_0_7_7, all_0_17_17, all_0_12_12, all_0_10_10, all_0_10_10), m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12), yields:
% 17.21/4.52 | (424) ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_0_10_10, all_0_7_7, all_49_0_38) = all_256_0_125) | k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_256_0_125
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (42) with all_0_8_8, all_0_9_9, all_0_9_9, all_0_15_15, all_0_17_17 and discharging atoms m2_nattra_1(all_0_8_8, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9), m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.52 | (425) m1_nattra_1(all_0_8_8, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (50) with all_73_0_52, all_0_14_14, all_0_14_14 and discharging atoms m2_relset_1(all_73_0_52, all_0_14_14, all_0_14_14), yields:
% 17.21/4.52 | (321) m1_relset_1(all_73_0_52, all_0_14_14, all_0_14_14)
% 17.21/4.52 |
% 17.21/4.52 +-Applying beta-rule and splitting (424), into two cases.
% 17.21/4.52 |-Branch one:
% 17.21/4.52 | (427) ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_0_10_10, all_0_7_7, all_49_0_38) = all_256_0_125)
% 17.21/4.52 |
% 17.21/4.52 | From (239) and (427) follows:
% 17.21/4.52 | (428) ~ (k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_0_10_10, all_0_7_7, all_23_0_28) = all_256_0_125)
% 17.21/4.52 |
% 17.21/4.52 | Using (286) and (428) yields:
% 17.21/4.52 | (293) $false
% 17.21/4.52 |
% 17.21/4.52 |-The branch is then unsatisfiable
% 17.21/4.52 |-Branch two:
% 17.21/4.52 | (430) k6_isocat_1(all_0_17_17, all_0_12_12, all_0_15_15, all_0_10_10, all_0_10_10, all_0_7_7, all_49_0_38) = all_256_0_125
% 17.21/4.52 | (431) k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_256_0_125
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (88) with all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7, all_256_0_125, all_0_6_6 and discharging atoms k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_256_0_125, k13_isocat_2(all_0_17_17, all_0_15_15, all_0_13_13, all_0_10_10, all_0_10_10, all_0_7_7) = all_0_6_6, yields:
% 17.21/4.52 | (432) all_256_0_125 = all_0_6_6
% 17.21/4.52 |
% 17.21/4.52 | From (432) and (287) follows:
% 17.21/4.52 | (433) r4_nattra_1(all_0_16_16, all_0_14_14, all_0_16_16, all_0_14_14, all_0_6_6, all_0_8_8)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (99) with all_73_0_52, all_73_0_52, all_0_14_14, all_0_14_14, all_0_14_14, all_0_14_14 and discharging atoms m1_relset_1(all_73_0_52, all_0_14_14, all_0_14_14), v1_funct_2(all_73_0_52, all_0_14_14, all_0_14_14), v1_funct_1(all_73_0_52), yields:
% 17.21/4.52 | (434) v1_xboole_0(all_0_14_14) | r4_nattra_1(all_0_14_14, all_0_14_14, all_0_14_14, all_0_14_14, all_73_0_52, all_73_0_52)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (94) with all_0_6_6, all_0_14_14, all_0_16_16, all_0_9_9, all_0_9_9, all_0_15_15, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_15_15) = all_0_14_14, m1_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9), m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.52 | (435) m2_relset_1(all_0_6_6, all_0_16_16, all_0_14_14)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (21) with all_0_6_6, all_0_14_14, all_0_16_16, all_0_9_9, all_0_9_9, all_0_15_15, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_15_15) = all_0_14_14, m1_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9), m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.52 | (436) v1_funct_2(all_0_6_6, all_0_16_16, all_0_14_14)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (79) with all_0_6_6, all_0_14_14, all_0_16_16, all_0_9_9, all_0_9_9, all_0_15_15, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_15_15) = all_0_14_14, m1_nattra_1(all_0_6_6, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9), m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.52 | (437) v1_funct_1(all_0_6_6)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (94) with all_0_8_8, all_0_14_14, all_0_16_16, all_0_9_9, all_0_9_9, all_0_15_15, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_15_15) = all_0_14_14, m1_nattra_1(all_0_8_8, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9), m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.52 | (438) m2_relset_1(all_0_8_8, all_0_16_16, all_0_14_14)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (21) with all_0_8_8, all_0_14_14, all_0_16_16, all_0_9_9, all_0_9_9, all_0_15_15, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_15_15) = all_0_14_14, m1_nattra_1(all_0_8_8, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9), m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.52 | (439) v1_funct_2(all_0_8_8, all_0_16_16, all_0_14_14)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (79) with all_0_8_8, all_0_14_14, all_0_16_16, all_0_9_9, all_0_9_9, all_0_15_15, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, u2_cat_1(all_0_15_15) = all_0_14_14, m1_nattra_1(all_0_8_8, all_0_17_17, all_0_15_15, all_0_9_9, all_0_9_9), m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15), l1_cat_1(all_0_15_15), l1_cat_1(all_0_17_17), v2_cat_1(all_0_15_15), v2_cat_1(all_0_17_17), yields:
% 17.21/4.52 | (440) v1_funct_1(all_0_8_8)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (50) with all_0_6_6, all_0_14_14, all_0_16_16 and discharging atoms m2_relset_1(all_0_6_6, all_0_16_16, all_0_14_14), yields:
% 17.21/4.52 | (441) m1_relset_1(all_0_6_6, all_0_16_16, all_0_14_14)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (50) with all_0_8_8, all_0_14_14, all_0_16_16 and discharging atoms m2_relset_1(all_0_8_8, all_0_16_16, all_0_14_14), yields:
% 17.21/4.52 | (442) m1_relset_1(all_0_8_8, all_0_16_16, all_0_14_14)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (108) with all_0_8_8, all_0_6_6, all_0_14_14, all_0_16_16, all_0_14_14, all_0_16_16 and discharging atoms m1_relset_1(all_0_6_6, all_0_16_16, all_0_14_14), m1_relset_1(all_0_8_8, all_0_16_16, all_0_14_14), v1_funct_2(all_0_6_6, all_0_16_16, all_0_14_14), v1_funct_2(all_0_8_8, all_0_16_16, all_0_14_14), v1_funct_1(all_0_6_6), v1_funct_1(all_0_8_8), r4_nattra_1(all_0_16_16, all_0_14_14, all_0_16_16, all_0_14_14, all_0_6_6, all_0_8_8), ~ r4_nattra_1(all_0_16_16, all_0_14_14, all_0_16_16, all_0_14_14, all_0_8_8, all_0_6_6), yields:
% 17.21/4.52 | (443) v1_xboole_0(all_0_14_14) | v1_xboole_0(all_0_16_16)
% 17.21/4.52 |
% 17.21/4.52 +-Applying beta-rule and splitting (434), into two cases.
% 17.21/4.52 |-Branch one:
% 17.21/4.52 | (444) v1_xboole_0(all_0_14_14)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (8) with all_0_14_14, all_0_15_15 and discharging atoms u2_cat_1(all_0_15_15) = all_0_14_14, v1_xboole_0(all_0_14_14), l1_cat_1(all_0_15_15), yields:
% 17.21/4.52 | (293) $false
% 17.21/4.52 |
% 17.21/4.52 |-The branch is then unsatisfiable
% 17.21/4.52 |-Branch two:
% 17.21/4.52 | (446) ~ v1_xboole_0(all_0_14_14)
% 17.21/4.52 | (447) r4_nattra_1(all_0_14_14, all_0_14_14, all_0_14_14, all_0_14_14, all_73_0_52, all_73_0_52)
% 17.21/4.52 |
% 17.21/4.52 +-Applying beta-rule and splitting (443), into two cases.
% 17.21/4.52 |-Branch one:
% 17.21/4.52 | (444) v1_xboole_0(all_0_14_14)
% 17.21/4.52 |
% 17.21/4.52 | Using (444) and (446) yields:
% 17.21/4.52 | (293) $false
% 17.21/4.52 |
% 17.21/4.52 |-The branch is then unsatisfiable
% 17.21/4.52 |-Branch two:
% 17.21/4.52 | (446) ~ v1_xboole_0(all_0_14_14)
% 17.21/4.52 | (419) v1_xboole_0(all_0_16_16)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (22) with all_0_16_16, all_0_17_17 and discharging atoms u1_cat_1(all_0_17_17) = all_0_16_16, v1_xboole_0(all_0_16_16), l1_cat_1(all_0_17_17), yields:
% 17.21/4.52 | (293) $false
% 17.21/4.52 |
% 17.21/4.52 |-The branch is then unsatisfiable
% 17.21/4.52 |-Branch two:
% 17.21/4.52 | (453) ~ m2_cat_1(all_0_5_5, all_0_17_17, all_0_13_13)
% 17.21/4.52 | (454) ? [v0] : (k11_cat_2(all_0_15_15, all_0_13_13) = v0 & ~ m2_cat_1(all_0_10_10, all_0_17_17, v0))
% 17.21/4.52 |
% 17.21/4.52 | Instantiating (454) with all_103_0_196 yields:
% 17.21/4.52 | (455) k11_cat_2(all_0_15_15, all_0_13_13) = all_103_0_196 & ~ m2_cat_1(all_0_10_10, all_0_17_17, all_103_0_196)
% 17.21/4.52 |
% 17.21/4.52 | Applying alpha-rule on (455) yields:
% 17.21/4.52 | (456) k11_cat_2(all_0_15_15, all_0_13_13) = all_103_0_196
% 17.21/4.52 | (457) ~ m2_cat_1(all_0_10_10, all_0_17_17, all_103_0_196)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (46) with all_0_15_15, all_0_13_13, all_103_0_196, all_0_12_12 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_103_0_196, k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, yields:
% 17.21/4.52 | (458) all_103_0_196 = all_0_12_12
% 17.21/4.52 |
% 17.21/4.52 | From (458) and (457) follows:
% 17.21/4.52 | (292) ~ m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12)
% 17.21/4.52 |
% 17.21/4.52 | Using (90) and (292) yields:
% 17.21/4.52 | (293) $false
% 17.21/4.52 |
% 17.21/4.52 |-The branch is then unsatisfiable
% 17.21/4.52 |-Branch two:
% 17.21/4.52 | (461) ~ m2_cat_1(all_0_9_9, all_0_17_17, all_0_15_15)
% 17.21/4.52 | (454) ? [v0] : (k11_cat_2(all_0_15_15, all_0_13_13) = v0 & ~ m2_cat_1(all_0_10_10, all_0_17_17, v0))
% 17.21/4.52 |
% 17.21/4.52 | Instantiating (454) with all_99_0_197 yields:
% 17.21/4.52 | (463) k11_cat_2(all_0_15_15, all_0_13_13) = all_99_0_197 & ~ m2_cat_1(all_0_10_10, all_0_17_17, all_99_0_197)
% 17.21/4.52 |
% 17.21/4.52 | Applying alpha-rule on (463) yields:
% 17.21/4.52 | (464) k11_cat_2(all_0_15_15, all_0_13_13) = all_99_0_197
% 17.21/4.52 | (465) ~ m2_cat_1(all_0_10_10, all_0_17_17, all_99_0_197)
% 17.21/4.52 |
% 17.21/4.52 | Instantiating formula (46) with all_0_15_15, all_0_13_13, all_99_0_197, all_0_12_12 and discharging atoms k11_cat_2(all_0_15_15, all_0_13_13) = all_99_0_197, k11_cat_2(all_0_15_15, all_0_13_13) = all_0_12_12, yields:
% 17.21/4.52 | (466) all_99_0_197 = all_0_12_12
% 17.21/4.52 |
% 17.21/4.52 | From (466) and (465) follows:
% 17.21/4.52 | (292) ~ m2_cat_1(all_0_10_10, all_0_17_17, all_0_12_12)
% 17.21/4.52 |
% 17.21/4.52 | Using (90) and (292) yields:
% 17.21/4.52 | (293) $false
% 17.21/4.52 |
% 17.21/4.52 |-The branch is then unsatisfiable
% 17.21/4.52 % SZS output end Proof for theBenchmark
% 17.21/4.52
% 17.21/4.52 3947ms
%------------------------------------------------------------------------------