TSTP Solution File: LAT297+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : LAT297+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.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 : Sun Jul 17 04:32:36 EDT 2022
% Result : Theorem 7.01s 2.20s
% Output : Proof 17.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT297+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 09:14:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.59 ____ _
% 0.18/0.59 ___ / __ \_____(_)___ ________ __________
% 0.18/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.59
% 0.18/0.59 A Theorem Prover for First-Order Logic
% 0.18/0.59 (ePrincess v.1.0)
% 0.18/0.59
% 0.18/0.59 (c) Philipp Rümmer, 2009-2015
% 0.18/0.59 (c) Peter Backeman, 2014-2015
% 0.18/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.59 Bug reports to peter@backeman.se
% 0.18/0.59
% 0.18/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.59
% 0.18/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.83/1.01 Prover 0: Preprocessing ...
% 3.73/1.44 Prover 0: Warning: ignoring some quantifiers
% 3.94/1.48 Prover 0: Constructing countermodel ...
% 7.01/2.20 Prover 0: proved (1564ms)
% 7.01/2.20
% 7.01/2.20 No countermodel exists, formula is valid
% 7.01/2.20 % SZS status Theorem for theBenchmark
% 7.01/2.20
% 7.01/2.20 Generating proof ... Warning: ignoring some quantifiers
% 16.33/4.29 found it (size 880)
% 16.33/4.29
% 16.33/4.29 % SZS output start Proof for theBenchmark
% 16.33/4.29 Assumed formulas after preprocessing and simplification:
% 16.33/4.29 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & l1_struct_0(v14) & l1_struct_0(v4) & l1_lattices(v15) & l2_lattices(v13) & v2_funct_1(v5) & v1_relat_1(v11) & v1_relat_1(v8) & v1_relat_1(v5) & v1_realset1(v10) & v1_funct_1(v11) & v1_funct_1(v8) & v1_funct_1(v5) & v1_xboole_0(v9) & v1_xboole_0(v8) & v1_xboole_0(k1_xboole_0) & m1_subset_1(v3, v2) & l3_lattices(v12) & l3_lattices(v0) & v10_lattices(v0) & ~ v1_realset1(v7) & ~ v1_xboole_0(v10) & ~ v1_xboole_0(v7) & ~ v1_xboole_0(v6) & ~ m2_lattice4(v3, v0) & ~ v3_struct_0(v4) & ~ v3_struct_0(v0) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v17 = v16 | ~ (k2_binop_1(v23, v22, v21, v20, v19, v18) = v17) | ~ (k2_binop_1(v23, v22, v21, v20, v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_binop_1(v16, v17, v18, v19, v20, v21) = v22) | ~ v1_funct_1(v19) | ~ m1_subset_1(v21, v17) | ~ m1_subset_1(v20, v16) | v1_xboole_0(v17) | v1_xboole_0(v16) | m1_subset_1(v22, v18) | ? [v23] : (k2_zfmisc_1(v16, v17) = v23 & ( ~ m1_relset_1(v19, v23, v18) | ~ v1_funct_2(v19, v23, v18)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_binop_1(v16, v17, v18, v19, v20, v21) = v22) | ~ v1_funct_1(v19) | ~ m1_subset_1(v21, v17) | ~ m1_subset_1(v20, v16) | v1_xboole_0(v17) | v1_xboole_0(v16) | ? [v23] : ? [v24] : (k1_binop_1(v19, v20, v21) = v24 & k2_zfmisc_1(v16, v17) = v23 & (v24 = v22 | ~ m1_relset_1(v19, v23, v18) | ~ v1_funct_2(v19, v23, v18)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v18 | ~ (k2_lattices(v16, v18, v20) = v21) | ~ (k1_lattices(v16, v18, v19) = v20) | ~ (u1_struct_0(v16) = v17) | ~ v9_lattices(v16) | ~ m1_subset_1(v19, v17) | ~ m1_subset_1(v18, v17) | ~ l3_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v16 | ~ (k2_lattices(v20, v19, v18) = v17) | ~ (k2_lattices(v20, v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v16 | ~ (k1_lattices(v20, v19, v18) = v17) | ~ (k1_lattices(v20, v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v16 | ~ (k1_binop_1(v20, v19, v18) = v17) | ~ (k1_binop_1(v20, v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v16 | ~ (k4_lattices(v20, v19, v18) = v17) | ~ (k4_lattices(v20, v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v17 = v16 | ~ (k3_lattices(v20, v19, v18) = v17) | ~ (k3_lattices(v20, v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k1_tarski(v16) = v19) | ~ (k2_tarski(v18, v19) = v20) | ~ (k2_tarski(v16, v17) = v18) | k4_tarski(v16, v17) = v20) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k4_tarski(v17, v18) = v19) | ~ (k1_funct_1(v16, v19) = v20) | ~ v1_relat_1(v16) | ~ v1_funct_1(v16) | k1_binop_1(v16, v17, v18) = v20) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (k4_tarski(v19, v18) = v17) | ~ (k4_tarski(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (k1_funct_1(v19, v18) = v17) | ~ (k1_funct_1(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (k2_tarski(v19, v18) = v17) | ~ (k2_tarski(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v17 = v16 | ~ (k2_zfmisc_1(v19, v18) = v17) | ~ (k2_zfmisc_1(v19, v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k2_lattices(v16, v17, v18) = v19) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v3_struct_0(v16) | ? [v20] : ? [v21] : (k4_lattices(v16, v17, v18) = v21 & u1_struct_0(v16) = v20 & (v21 = v19 | ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k2_lattices(v16, v17, v18) = v19) | ~ l1_lattices(v16) | v3_struct_0(v16) | ? [v20] : (u1_struct_0(v16) = v20 & ( ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20) | m1_subset_1(v19, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_lattices(v16, v17, v18) = v19) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v3_struct_0(v16) | ? [v20] : ? [v21] : (u1_struct_0(v16) = v20 & k3_lattices(v16, v17, v18) = v21 & (v21 = v19 | ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_lattices(v16, v17, v18) = v19) | ~ l2_lattices(v16) | v3_struct_0(v16) | ? [v20] : (u1_struct_0(v16) = v20 & ( ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20) | m1_subset_1(v19, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_binop_1(v16, v17, v18) = v19) | ~ v1_relat_1(v16) | ~ v1_funct_1(v16) | ? [v20] : (k4_tarski(v17, v18) = v20 & k1_funct_1(v16, v20) = v19)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k4_lattices(v16, v18, v17) = v19) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v3_struct_0(v16) | ? [v20] : ? [v21] : (k4_lattices(v16, v17, v18) = v21 & u1_struct_0(v16) = v20 & (v21 = v19 | ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k4_lattices(v16, v17, v18) = v19) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v3_struct_0(v16) | ? [v20] : ? [v21] : (k2_lattices(v16, v17, v18) = v21 & u1_struct_0(v16) = v20 & (v21 = v19 | ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k4_lattices(v16, v17, v18) = v19) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v3_struct_0(v16) | ? [v20] : ? [v21] : (k4_lattices(v16, v18, v17) = v21 & u1_struct_0(v16) = v20 & (v21 = v19 | ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k4_lattices(v16, v17, v18) = v19) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v3_struct_0(v16) | ? [v20] : (u1_struct_0(v16) = v20 & ( ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20) | m1_subset_1(v19, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k3_lattices(v16, v18, v17) = v19) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v3_struct_0(v16) | ? [v20] : ? [v21] : (u1_struct_0(v16) = v20 & k3_lattices(v16, v17, v18) = v21 & (v21 = v19 | ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k3_lattices(v16, v17, v18) = v19) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v3_struct_0(v16) | ? [v20] : ? [v21] : (k1_lattices(v16, v17, v18) = v21 & u1_struct_0(v16) = v20 & (v21 = v19 | ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k3_lattices(v16, v17, v18) = v19) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v3_struct_0(v16) | ? [v20] : ? [v21] : (u1_struct_0(v16) = v20 & k3_lattices(v16, v18, v17) = v21 & (v21 = v19 | ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k3_lattices(v16, v17, v18) = v19) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v3_struct_0(v16) | ? [v20] : (u1_struct_0(v16) = v20 & ( ~ m1_subset_1(v18, v20) | ~ m1_subset_1(v17, v20) | m1_subset_1(v19, v20)))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k2_zfmisc_1(v16, v17) = v19) | ~ m2_relset_1(v18, v16, v17) | ? [v20] : (k1_zfmisc_1(v19) = v20 & m1_subset_1(v18, v20))) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) | ~ v1_xboole_0(v18) | ~ r2_hidden(v16, v17) | ~ m1_subset_1(v17, v19)) & ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k1_zfmisc_1(v18) = v19) | ~ r2_hidden(v16, v17) | ~ m1_subset_1(v17, v19) | m1_subset_1(v16, v18)) & ? [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k2_zfmisc_1(v17, v18) = v19) | v1_relat_1(v16) | ? [v20] : (k1_zfmisc_1(v19) = v20 & ~ m1_subset_1(v16, v20))) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (k1_tarski(v18) = v17) | ~ (k1_tarski(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (u1_lattices(v18) = v17) | ~ (u1_lattices(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (u2_lattices(v18) = v17) | ~ (u2_lattices(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (u1_struct_0(v18) = v17) | ~ (u1_struct_0(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : (v17 = v16 | ~ (k1_zfmisc_1(v18) = v17) | ~ (k1_zfmisc_1(v18) = v16)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k4_tarski(v16, v17) = v18) | ? [v19] : ? [v20] : (k1_tarski(v16) = v20 & k2_tarski(v19, v20) = v18 & k2_tarski(v16, v17) = v19)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v16) = v17) | ~ (k2_zfmisc_1(v17, v17) = v18) | ~ l1_lattices(v16) | ~ v7_lattices(v16) | v3_struct_0(v16) | ? [v19] : (u1_lattices(v16) = v19 & v2_binop_1(v19, v17) & v1_partfun1(v19, v18, v17) & v1_funct_2(v19, v18, v17) & v1_relat_1(v19) & v1_funct_1(v19))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v16) = v17) | ~ (k2_zfmisc_1(v17, v17) = v18) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v3_struct_0(v16) | ? [v19] : (u1_lattices(v16) = v19 & v1_partfun1(v19, v18, v17) & v1_binop_1(v19, v17) & v1_funct_2(v19, v18, v17) & v1_relat_1(v19) & v1_funct_1(v19))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v16) = v17) | ~ (k2_zfmisc_1(v17, v17) = v18) | ~ l1_lattices(v16) | ? [v19] : (u1_lattices(v16) = v19 & m2_relset_1(v19, v18, v17) & v1_funct_2(v19, v18, v17) & v1_funct_1(v19))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v16) = v17) | ~ (k2_zfmisc_1(v17, v17) = v18) | ~ l2_lattices(v16) | ~ v5_lattices(v16) | v3_struct_0(v16) | ? [v19] : (u2_lattices(v16) = v19 & v2_binop_1(v19, v17) & v1_partfun1(v19, v18, v17) & v1_funct_2(v19, v18, v17) & v1_relat_1(v19) & v1_funct_1(v19))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v16) = v17) | ~ (k2_zfmisc_1(v17, v17) = v18) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v3_struct_0(v16) | ? [v19] : (u2_lattices(v16) = v19 & v1_partfun1(v19, v18, v17) & v1_binop_1(v19, v17) & v1_funct_2(v19, v18, v17) & v1_relat_1(v19) & v1_funct_1(v19))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v16) = v17) | ~ (k2_zfmisc_1(v17, v17) = v18) | ~ l2_lattices(v16) | ? [v19] : (u2_lattices(v16) = v19 & m2_relset_1(v19, v18, v17) & v1_funct_2(v19, v18, v17) & v1_funct_1(v19))) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_tarski(v17, v16) = v18) | k2_tarski(v16, v17) = v18) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_tarski(v16, v17) = v18) | ~ v1_xboole_0(v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_tarski(v16, v17) = v18) | k2_tarski(v17, v16) = v18) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_zfmisc_1(v16, v17) = v18) | ~ v1_xboole_0(v18) | v1_xboole_0(v17) | v1_xboole_0(v16)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) | ~ r1_tarski(v16, v17) | m1_subset_1(v16, v18)) & ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) | ~ m1_subset_1(v16, v18) | r1_tarski(v16, v17)) & ! [v16] : ! [v17] : ! [v18] : ( ~ m2_relset_1(v18, v16, v17) | m1_relset_1(v18, v16, v17)) & ! [v16] : ! [v17] : ! [v18] : ( ~ m1_relset_1(v18, v16, v17) | m2_relset_1(v18, v16, v17)) & ! [v16] : ! [v17] : (v17 = v16 | ~ v1_xboole_0(v17) | ~ v1_xboole_0(v16)) & ! [v16] : ! [v17] : ( ~ (k1_tarski(v16) = v17) | ~ v1_xboole_0(v17)) & ! [v16] : ! [v17] : ( ~ (k1_tarski(v16) = v17) | v1_finset_1(v17)) & ! [v16] : ! [v17] : ( ~ (k1_tarski(v16) = v17) | v1_realset1(v17)) & ! [v16] : ! [v17] : ( ~ (u1_lattices(v16) = v17) | ~ l1_lattices(v16) | ~ v7_lattices(v16) | v1_relat_1(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u1_lattices(v16) = v17) | ~ l1_lattices(v16) | ~ v7_lattices(v16) | v1_funct_1(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u1_lattices(v16) = v17) | ~ l1_lattices(v16) | ~ v7_lattices(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (u1_struct_0(v16) = v18 & k2_zfmisc_1(v18, v18) = v19 & v2_binop_1(v17, v18) & v1_partfun1(v17, v19, v18) & v1_funct_2(v17, v19, v18))) & ! [v16] : ! [v17] : ( ~ (u1_lattices(v16) = v17) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v1_relat_1(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u1_lattices(v16) = v17) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v1_funct_1(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u1_lattices(v16) = v17) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (u1_struct_0(v16) = v18 & k2_zfmisc_1(v18, v18) = v19 & v1_partfun1(v17, v19, v18) & v1_binop_1(v17, v18) & v1_funct_2(v17, v19, v18))) & ! [v16] : ! [v17] : ( ~ (u1_lattices(v16) = v17) | ~ l1_lattices(v16) | v1_funct_1(v17)) & ! [v16] : ! [v17] : ( ~ (u1_lattices(v16) = v17) | ~ l1_lattices(v16) | v3_struct_0(v16) | ? [v18] : (u1_struct_0(v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_lattices(v16, v19, v20) = v21) | ~ m1_subset_1(v20, v18) | ~ m1_subset_1(v19, v18) | k2_binop_1(v18, v18, v18, v17, v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_binop_1(v18, v18, v18, v17, v19, v20) = v21) | ~ m1_subset_1(v20, v18) | ~ m1_subset_1(v19, v18) | k2_lattices(v16, v19, v20) = v21))) & ! [v16] : ! [v17] : ( ~ (u1_lattices(v16) = v17) | ~ l1_lattices(v16) | ? [v18] : ? [v19] : (u1_struct_0(v16) = v18 & k2_zfmisc_1(v18, v18) = v19 & m2_relset_1(v17, v19, v18) & v1_funct_2(v17, v19, v18))) & ! [v16] : ! [v17] : ( ~ (u2_lattices(v16) = v17) | ~ l2_lattices(v16) | ~ v5_lattices(v16) | v1_relat_1(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u2_lattices(v16) = v17) | ~ l2_lattices(v16) | ~ v5_lattices(v16) | v1_funct_1(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u2_lattices(v16) = v17) | ~ l2_lattices(v16) | ~ v5_lattices(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (u1_struct_0(v16) = v18 & k2_zfmisc_1(v18, v18) = v19 & v2_binop_1(v17, v18) & v1_partfun1(v17, v19, v18) & v1_funct_2(v17, v19, v18))) & ! [v16] : ! [v17] : ( ~ (u2_lattices(v16) = v17) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v1_relat_1(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u2_lattices(v16) = v17) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v1_funct_1(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u2_lattices(v16) = v17) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (u1_struct_0(v16) = v18 & k2_zfmisc_1(v18, v18) = v19 & v1_partfun1(v17, v19, v18) & v1_binop_1(v17, v18) & v1_funct_2(v17, v19, v18))) & ! [v16] : ! [v17] : ( ~ (u2_lattices(v16) = v17) | ~ l2_lattices(v16) | v1_funct_1(v17)) & ! [v16] : ! [v17] : ( ~ (u2_lattices(v16) = v17) | ~ l2_lattices(v16) | v3_struct_0(v16) | ? [v18] : (u1_struct_0(v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_lattices(v16, v19, v20) = v21) | ~ m1_subset_1(v20, v18) | ~ m1_subset_1(v19, v18) | k2_binop_1(v18, v18, v18, v17, v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_binop_1(v18, v18, v18, v17, v19, v20) = v21) | ~ m1_subset_1(v20, v18) | ~ m1_subset_1(v19, v18) | k1_lattices(v16, v19, v20) = v21))) & ! [v16] : ! [v17] : ( ~ (u2_lattices(v16) = v17) | ~ l2_lattices(v16) | ? [v18] : ? [v19] : (u1_struct_0(v16) = v18 & k2_zfmisc_1(v18, v18) = v19 & m2_relset_1(v17, v19, v18) & v1_funct_2(v17, v19, v18))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_struct_0(v16) | ~ v1_xboole_0(v17) | v3_struct_0(v16)) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_struct_0(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (k1_zfmisc_1(v17) = v18 & m1_subset_1(v19, v18) & ~ v1_xboole_0(v19))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_lattices(v16) | ~ v7_lattices(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (u1_lattices(v16) = v18 & k2_zfmisc_1(v17, v17) = v19 & v2_binop_1(v18, v17) & v1_partfun1(v18, v19, v17) & v1_funct_2(v18, v19, v17) & v1_relat_1(v18) & v1_funct_1(v18))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_lattices(v16) | ~ v6_lattices(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (u1_lattices(v16) = v18 & k2_zfmisc_1(v17, v17) = v19 & v1_partfun1(v18, v19, v17) & v1_binop_1(v18, v17) & v1_funct_2(v18, v19, v17) & v1_relat_1(v18) & v1_funct_1(v18))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_lattices(v16) | v3_struct_0(v16) | ? [v18] : (u1_lattices(v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_lattices(v16, v19, v20) = v21) | ~ m1_subset_1(v20, v17) | ~ m1_subset_1(v19, v17) | k2_binop_1(v17, v17, v17, v18, v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_binop_1(v17, v17, v17, v18, v19, v20) = v21) | ~ m1_subset_1(v20, v17) | ~ m1_subset_1(v19, v17) | k2_lattices(v16, v19, v20) = v21))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_lattices(v16) | ? [v18] : ? [v19] : (u1_lattices(v16) = v18 & k2_zfmisc_1(v17, v17) = v19 & m2_relset_1(v18, v19, v17) & v1_funct_2(v18, v19, v17) & v1_funct_1(v18))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l2_lattices(v16) | ~ v5_lattices(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (u2_lattices(v16) = v18 & k2_zfmisc_1(v17, v17) = v19 & v2_binop_1(v18, v17) & v1_partfun1(v18, v19, v17) & v1_funct_2(v18, v19, v17) & v1_relat_1(v18) & v1_funct_1(v18))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l2_lattices(v16) | ~ v4_lattices(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : (u2_lattices(v16) = v18 & k2_zfmisc_1(v17, v17) = v19 & v1_partfun1(v18, v19, v17) & v1_binop_1(v18, v17) & v1_funct_2(v18, v19, v17) & v1_relat_1(v18) & v1_funct_1(v18))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l2_lattices(v16) | v3_struct_0(v16) | ? [v18] : (u2_lattices(v16) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_lattices(v16, v19, v20) = v21) | ~ m1_subset_1(v20, v17) | ~ m1_subset_1(v19, v17) | k2_binop_1(v17, v17, v17, v18, v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_binop_1(v17, v17, v17, v18, v19, v20) = v21) | ~ m1_subset_1(v20, v17) | ~ m1_subset_1(v19, v17) | k1_lattices(v16, v19, v20) = v21))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l2_lattices(v16) | ? [v18] : ? [v19] : (u2_lattices(v16) = v18 & k2_zfmisc_1(v17, v17) = v19 & m2_relset_1(v18, v19, v17) & v1_funct_2(v18, v19, v17) & v1_funct_1(v18))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v3_struct_0(v16) | ? [v18] : (k1_zfmisc_1(v17) = v18 & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k4_lattices(v16, v20, v21) = v22) | ~ m2_lattice4(v19, v16) | ~ r2_hidden(v21, v19) | ~ r2_hidden(v20, v19) | ~ m1_subset_1(v21, v17) | ~ m1_subset_1(v20, v17) | ~ m1_subset_1(v19, v18) | r2_hidden(v22, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k4_lattices(v16, v20, v21) = v22) | ~ m2_lattice4(v19, v16) | ~ r2_hidden(v21, v19) | ~ r2_hidden(v20, v19) | ~ m1_subset_1(v21, v17) | ~ m1_subset_1(v20, v17) | ~ m1_subset_1(v19, v18) | ? [v23] : (k3_lattices(v16, v20, v21) = v23 & r2_hidden(v23, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k3_lattices(v16, v20, v21) = v22) | ~ m2_lattice4(v19, v16) | ~ r2_hidden(v21, v19) | ~ r2_hidden(v20, v19) | ~ m1_subset_1(v21, v17) | ~ m1_subset_1(v20, v17) | ~ m1_subset_1(v19, v18) | r2_hidden(v22, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k3_lattices(v16, v20, v21) = v22) | ~ m2_lattice4(v19, v16) | ~ r2_hidden(v21, v19) | ~ r2_hidden(v20, v19) | ~ m1_subset_1(v21, v17) | ~ m1_subset_1(v20, v17) | ~ m1_subset_1(v19, v18) | ? [v23] : (k4_lattices(v16, v20, v21) = v23 & r2_hidden(v23, v19))) & ! [v19] : ( ~ m1_subset_1(v19, v18) | m2_lattice4(v19, v16) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k4_lattices(v16, v20, v21) = v22 & k3_lattices(v16, v20, v21) = v23 & r2_hidden(v21, v19) & r2_hidden(v20, v19) & m1_subset_1(v21, v17) & m1_subset_1(v20, v17) & ( ~ r2_hidden(v23, v19) | ~ r2_hidden(v22, v19)))))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l3_lattices(v16) | ~ v10_lattices(v16) | v3_struct_0(v16) | ? [v18] : (k1_zfmisc_1(v17) = v18 & ! [v19] : ( ~ m2_lattice4(v19, v16) | m1_subset_1(v19, v18)))) & ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l3_lattices(v16) | v9_lattices(v16) | v3_struct_0(v16) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ( ~ (v21 = v18) & k2_lattices(v16, v18, v20) = v21 & k1_lattices(v16, v18, v19) = v20 & m1_subset_1(v19, v17) & m1_subset_1(v18, v17))) & ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v1_xboole_0(v17)) & ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | v1_xboole_0(v16) | ? [v18] : (m1_subset_1(v18, v17) & ~ v1_xboole_0(v18))) & ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | ? [v18] : (v1_xboole_0(v18) & m1_subset_1(v18, v17))) & ! [v16] : ! [v17] : ( ~ v1_xboole_0(v17) | ~ r2_hidden(v16, v17)) & ! [v16] : ! [v17] : ( ~ r2_hidden(v17, v16) | ~ r2_hidden(v16, v17)) & ! [v16] : ! [v17] : ( ~ r2_hidden(v16, v17) | m1_subset_1(v16, v17)) & ! [v16] : ! [v17] : ( ~ m1_subset_1(v17, v1) | ~ m1_subset_1(v16, v1) | ? [v18] : (k4_lattices(v0, v16, v17) = v18 & ( ~ r2_hidden(v18, v3) | (r2_hidden(v17, v3) & r2_hidden(v16, v3))) & ( ~ r2_hidden(v17, v3) | ~ r2_hidden(v16, v3) | r2_hidden(v18, v3)))) & ! [v16] : ! [v17] : ( ~ m1_subset_1(v16, v17) | v1_xboole_0(v17) | r2_hidden(v16, v17)) & ! [v16] : (v16 = k1_xboole_0 | ~ v1_xboole_0(v16)) & ! [v16] : ( ~ l1_lattices(v16) | l1_struct_0(v16)) & ! [v16] : ( ~ l2_lattices(v16) | l1_struct_0(v16)) & ! [v16] : ( ~ v1_relat_1(v16) | ~ v1_funct_1(v16) | ~ v1_xboole_0(v16) | v2_funct_1(v16)) & ! [v16] : ( ~ v9_lattices(v16) | ~ v8_lattices(v16) | ~ v7_lattices(v16) | ~ v6_lattices(v16) | ~ v5_lattices(v16) | ~ v4_lattices(v16) | ~ l3_lattices(v16) | v10_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ v1_xboole_0(v16) | v1_realset1(v16)) & ! [v16] : ( ~ v1_xboole_0(v16) | v1_funct_1(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v9_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v8_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v7_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v6_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v5_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v4_lattices(v16) | v3_struct_0(v16)) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v3_struct_0(v16) | ? [v17] : (m2_lattice4(v17, v16) & ~ v1_xboole_0(v17))) & ! [v16] : ( ~ l3_lattices(v16) | ~ v10_lattices(v16) | v3_struct_0(v16) | ? [v17] : m2_lattice4(v17, v16)) & ! [v16] : ( ~ l3_lattices(v16) | l1_lattices(v16)) & ! [v16] : ( ~ l3_lattices(v16) | l2_lattices(v16)) & ? [v16] : ? [v17] : ? [v18] : m2_relset_1(v18, v16, v17) & ? [v16] : ? [v17] : ? [v18] : m1_relset_1(v18, v16, v17) & ? [v16] : ? [v17] : m1_subset_1(v17, v16) & ? [v16] : r1_tarski(v16, v16))
% 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 yields:
% 16.62/4.37 | (1) u1_struct_0(all_0_15_15) = all_0_14_14 & k1_zfmisc_1(all_0_14_14) = all_0_13_13 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_11_11) & l1_lattices(all_0_0_0) & l2_lattices(all_0_2_2) & v2_funct_1(all_0_10_10) & v1_relat_1(all_0_4_4) & v1_relat_1(all_0_7_7) & v1_relat_1(all_0_10_10) & v1_realset1(all_0_5_5) & v1_funct_1(all_0_4_4) & v1_funct_1(all_0_7_7) & v1_funct_1(all_0_10_10) & v1_xboole_0(all_0_6_6) & v1_xboole_0(all_0_7_7) & v1_xboole_0(k1_xboole_0) & m1_subset_1(all_0_12_12, all_0_13_13) & l3_lattices(all_0_3_3) & l3_lattices(all_0_15_15) & v10_lattices(all_0_15_15) & ~ v1_realset1(all_0_8_8) & ~ v1_xboole_0(all_0_5_5) & ~ v1_xboole_0(all_0_8_8) & ~ v1_xboole_0(all_0_9_9) & ~ m2_lattice4(all_0_12_12, all_0_15_15) & ~ v3_struct_0(all_0_11_11) & ~ v3_struct_0(all_0_15_15) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v1) | ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) | ~ v1_funct_1(v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | m1_subset_1(v6, v2) | ? [v7] : (k2_zfmisc_1(v0, v1) = v7 & ( ~ m1_relset_1(v3, v7, v2) | ~ v1_funct_2(v3, v7, v2)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) | ~ v1_funct_1(v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v7] : ? [v8] : (k1_binop_1(v3, v4, v5) = v8 & k2_zfmisc_1(v0, v1) = v7 & (v8 = v6 | ~ m1_relset_1(v3, v7, v2) | ~ v1_funct_2(v3, v7, v2)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v2 | ~ (k2_lattices(v0, v2, v4) = v5) | ~ (k1_lattices(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ v9_lattices(v0) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k2_lattices(v4, v3, v2) = v1) | ~ (k2_lattices(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k1_lattices(v4, v3, v2) = v1) | ~ (k1_lattices(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k1_binop_1(v4, v3, v2) = v1) | ~ (k1_binop_1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k4_lattices(v4, v3, v2) = v1) | ~ (k4_lattices(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k3_lattices(v4, v3, v2) = v1) | ~ (k3_lattices(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k1_tarski(v0) = v3) | ~ (k2_tarski(v2, v3) = v4) | ~ (k2_tarski(v0, v1) = v2) | k4_tarski(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k4_tarski(v1, v2) = v3) | ~ (k1_funct_1(v0, v3) = v4) | ~ v1_relat_1(v0) | ~ v1_funct_1(v0) | k1_binop_1(v0, v1, v2) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k4_tarski(v3, v2) = v1) | ~ (k4_tarski(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_tarski(v3, v2) = v1) | ~ (k2_tarski(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k4_lattices(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k3_lattices(v0, v1, v2) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_binop_1(v0, v1, v2) = v3) | ~ v1_relat_1(v0) | ~ v1_funct_1(v0) | ? [v4] : (k4_tarski(v1, v2) = v4 & k1_funct_1(v0, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(v0, v2, v1) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k4_lattices(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k2_lattices(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k4_lattices(v0, v2, v1) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(v0, v2, v1) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k3_lattices(v0, v1, v2) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k1_lattices(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k3_lattices(v0, v2, v1) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (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_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_lattices(v2) = v1) | ~ (u1_lattices(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_lattices(v2) = v1) | ~ (u2_lattices(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k4_tarski(v0, v1) = v2) | ? [v3] : ? [v4] : (k1_tarski(v0) = v4 & k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v3] : (u1_lattices(v0) = v3 & v2_binop_1(v3, v1) & v1_partfun1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_relat_1(v3) & v1_funct_1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v3] : (u1_lattices(v0) = v3 & v1_partfun1(v3, v2, v1) & v1_binop_1(v3, v1) & v1_funct_2(v3, v2, v1) & v1_relat_1(v3) & v1_funct_1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_lattices(v0) | ? [v3] : (u1_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v3] : (u2_lattices(v0) = v3 & v2_binop_1(v3, v1) & v1_partfun1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_relat_1(v3) & v1_funct_1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v3] : (u2_lattices(v0) = v3 & v1_partfun1(v3, v2, v1) & v1_binop_1(v3, v1) & v1_funct_2(v3, v2, v1) & v1_relat_1(v3) & v1_funct_1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l2_lattices(v0) | ? [v3] : (u2_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xboole_0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | v1_finset_1(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | v1_realset1(v1)) & ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & v2_binop_1(v1, v2) & v1_partfun1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & v1_partfun1(v1, v3, v2) & v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_lattices(v0, v3, v4) = v5) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2) | k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2) | k2_lattices(v0, v3, v4) = v5))) & ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & v2_binop_1(v1, v2) & v1_partfun1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & v1_partfun1(v1, v3, v2) & v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_lattices(v0, v3, v4) = v5) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2) | k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2) | k1_lattices(v0, v3, v4) = v5))) & ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & v2_binop_1(v2, v1) & v1_partfun1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & v1_partfun1(v2, v3, v1) & v1_binop_1(v2, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | v3_struct_0(v0) | ? [v2] : (u1_lattices(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_lattices(v0, v3, v4) = v5) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | k2_lattices(v0, v3, v4) = v5))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ? [v2] : ? [v3] : (u1_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u2_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & v2_binop_1(v2, v1) & v1_partfun1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u2_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & v1_partfun1(v2, v3, v1) & v1_binop_1(v2, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | v3_struct_0(v0) | ? [v2] : (u2_lattices(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_lattices(v0, v3, v4) = v5) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | k1_lattices(v0, v3, v4) = v5))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ? [v2] : ? [v3] : (u2_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k4_lattices(v0, v4, v5) = v6) | ~ m2_lattice4(v3, v0) | ~ r2_hidden(v5, v3) | ~ r2_hidden(v4, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v2) | r2_hidden(v6, v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k4_lattices(v0, v4, v5) = v6) | ~ m2_lattice4(v3, v0) | ~ r2_hidden(v5, v3) | ~ r2_hidden(v4, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v2) | ? [v7] : (k3_lattices(v0, v4, v5) = v7 & r2_hidden(v7, v3))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k3_lattices(v0, v4, v5) = v6) | ~ m2_lattice4(v3, v0) | ~ r2_hidden(v5, v3) | ~ r2_hidden(v4, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v2) | r2_hidden(v6, v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k3_lattices(v0, v4, v5) = v6) | ~ m2_lattice4(v3, v0) | ~ r2_hidden(v5, v3) | ~ r2_hidden(v4, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v2) | ? [v7] : (k4_lattices(v0, v4, v5) = v7 & r2_hidden(v7, v3))) & ! [v3] : ( ~ m1_subset_1(v3, v2) | m2_lattice4(v3, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (k4_lattices(v0, v4, v5) = v6 & k3_lattices(v0, v4, v5) = v7 & r2_hidden(v5, v3) & r2_hidden(v4, v3) & m1_subset_1(v5, v1) & m1_subset_1(v4, v1) & ( ~ r2_hidden(v7, v3) | ~ r2_hidden(v6, v3)))))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ m2_lattice4(v3, v0) | m1_subset_1(v3, v2)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = v2) & k2_lattices(v0, v2, v4) = v5 & k1_lattices(v0, v2, v3) = v4 & m1_subset_1(v3, v1) & m1_subset_1(v2, v1))) & ! [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] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | ? [v2] : (k4_lattices(all_0_15_15, v0, v1) = v2 & ( ~ r2_hidden(v2, all_0_12_12) | (r2_hidden(v1, all_0_12_12) & r2_hidden(v0, all_0_12_12))) & ( ~ r2_hidden(v1, all_0_12_12) | ~ r2_hidden(v0, all_0_12_12) | r2_hidden(v2, all_0_12_12)))) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ v1_relat_1(v0) | ~ v1_funct_1(v0) | ~ v1_xboole_0(v0) | v2_funct_1(v0)) & ! [v0] : ( ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v7_lattices(v0) | ~ v6_lattices(v0) | ~ v5_lattices(v0) | ~ v4_lattices(v0) | ~ l3_lattices(v0) | v10_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_realset1(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : (m2_lattice4(v1, v0) & ~ v1_xboole_0(v1))) & ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : m2_lattice4(v1, v0)) & ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0)) & ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0)) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0)
% 16.62/4.40 |
% 16.62/4.40 | Applying alpha-rule on (1) yields:
% 16.62/4.40 | (2) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0))
% 16.62/4.40 | (3) v2_funct_1(all_0_10_10)
% 16.62/4.40 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k2_lattices(v4, v3, v2) = v1) | ~ (k2_lattices(v4, v3, v2) = v0))
% 16.62/4.40 | (5) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0))
% 16.62/4.40 | (6) ~ m2_lattice4(all_0_12_12, all_0_15_15)
% 16.62/4.40 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 16.62/4.40 | (8) v1_relat_1(all_0_10_10)
% 16.62/4.40 | (9) ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0))
% 16.62/4.40 | (10) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 16.62/4.40 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l2_lattices(v0) | ? [v3] : (u2_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 16.62/4.40 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | ~ v1_xboole_0(v2))
% 16.62/4.40 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 16.62/4.40 | (14) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & v1_partfun1(v1, v3, v2) & v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2)))
% 16.62/4.40 | (15) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | v3_struct_0(v0) | ? [v2] : (u1_lattices(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_lattices(v0, v3, v4) = v5) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | k2_lattices(v0, v3, v4) = v5)))
% 16.62/4.41 | (16) v1_relat_1(all_0_4_4)
% 16.62/4.41 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k1_tarski(v0) = v3) | ~ (k2_tarski(v2, v3) = v4) | ~ (k2_tarski(v0, v1) = v2) | k4_tarski(v0, v1) = v4)
% 16.62/4.41 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 16.62/4.41 | (19) ~ v3_struct_0(all_0_15_15)
% 16.62/4.41 | (20) ! [v0] : ( ~ v1_relat_1(v0) | ~ v1_funct_1(v0) | ~ v1_xboole_0(v0) | v2_funct_1(v0))
% 16.62/4.41 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0))
% 16.62/4.41 | (22) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0))
% 16.62/4.41 | (23) v1_relat_1(all_0_7_7)
% 16.62/4.41 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v3] : (u1_lattices(v0) = v3 & v2_binop_1(v3, v1) & v1_partfun1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_relat_1(v3) & v1_funct_1(v3)))
% 16.62/4.41 | (25) l3_lattices(all_0_3_3)
% 16.62/4.41 | (26) ! [v0] : ( ~ v1_xboole_0(v0) | v1_realset1(v0))
% 16.62/4.41 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v3] : (u2_lattices(v0) = v3 & v2_binop_1(v3, v1) & v1_partfun1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_relat_1(v3) & v1_funct_1(v3)))
% 16.62/4.41 | (28) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0))
% 16.62/4.41 | (29) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ? [v2] : ? [v3] : (u2_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 16.62/4.41 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3))
% 16.62/4.41 | (31) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 16.62/4.41 | (32) ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0))
% 16.62/4.41 | (33) ~ v1_realset1(all_0_8_8)
% 16.62/4.41 | (34) ~ v1_xboole_0(all_0_5_5)
% 16.62/4.41 | (35) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | v1_funct_1(v1))
% 16.62/4.41 | (36) v10_lattices(all_0_15_15)
% 16.62/4.41 | (37) u1_struct_0(all_0_15_15) = all_0_14_14
% 16.62/4.41 | (38) ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0))
% 16.62/4.41 | (39) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 16.62/4.41 | (40) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ m2_lattice4(v3, v0) | m1_subset_1(v3, v2))))
% 16.62/4.41 | (41) ! [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)))
% 16.62/4.41 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k3_lattices(v0, v1, v2) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 16.62/4.41 | (43) v1_funct_1(all_0_10_10)
% 16.62/4.41 | (44) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 16.62/4.41 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 16.62/4.41 | (46) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 16.62/4.41 | (47) ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | ? [v2] : (k4_lattices(all_0_15_15, v0, v1) = v2 & ( ~ r2_hidden(v2, all_0_12_12) | (r2_hidden(v1, all_0_12_12) & r2_hidden(v0, all_0_12_12))) & ( ~ r2_hidden(v1, all_0_12_12) | ~ r2_hidden(v0, all_0_12_12) | r2_hidden(v2, all_0_12_12))))
% 16.62/4.41 | (48) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k4_lattices(v0, v4, v5) = v6) | ~ m2_lattice4(v3, v0) | ~ r2_hidden(v5, v3) | ~ r2_hidden(v4, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v2) | r2_hidden(v6, v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k4_lattices(v0, v4, v5) = v6) | ~ m2_lattice4(v3, v0) | ~ r2_hidden(v5, v3) | ~ r2_hidden(v4, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v2) | ? [v7] : (k3_lattices(v0, v4, v5) = v7 & r2_hidden(v7, v3))) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k3_lattices(v0, v4, v5) = v6) | ~ m2_lattice4(v3, v0) | ~ r2_hidden(v5, v3) | ~ r2_hidden(v4, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v2) | r2_hidden(v6, v3)) & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k3_lattices(v0, v4, v5) = v6) | ~ m2_lattice4(v3, v0) | ~ r2_hidden(v5, v3) | ~ r2_hidden(v4, v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v2) | ? [v7] : (k4_lattices(v0, v4, v5) = v7 & r2_hidden(v7, v3))) & ! [v3] : ( ~ m1_subset_1(v3, v2) | m2_lattice4(v3, v0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (k4_lattices(v0, v4, v5) = v6 & k3_lattices(v0, v4, v5) = v7 & r2_hidden(v5, v3) & r2_hidden(v4, v3) & m1_subset_1(v5, v1) & m1_subset_1(v4, v1) & ( ~ r2_hidden(v7, v3) | ~ r2_hidden(v6, v3))))))
% 16.62/4.42 | (49) ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0))
% 16.62/4.42 | (50) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 16.62/4.42 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k2_lattices(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 16.62/4.42 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v3] : (u1_lattices(v0) = v3 & v1_partfun1(v3, v2, v1) & v1_binop_1(v3, v1) & v1_funct_2(v3, v2, v1) & v1_relat_1(v3) & v1_funct_1(v3)))
% 16.62/4.42 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k4_tarski(v1, v2) = v3) | ~ (k1_funct_1(v0, v3) = v4) | ~ v1_relat_1(v0) | ~ v1_funct_1(v0) | k1_binop_1(v0, v1, v2) = v4)
% 16.62/4.42 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k1_lattices(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 16.62/4.42 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 16.62/4.42 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k4_lattices(v4, v3, v2) = v1) | ~ (k4_lattices(v4, v3, v2) = v0))
% 16.62/4.42 | (57) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & v2_binop_1(v2, v1) & v1_partfun1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2)))
% 16.62/4.42 | (58) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 16.62/4.42 | (59) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | v3_struct_0(v0) | ? [v2] : (u2_lattices(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_lattices(v0, v3, v4) = v5) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v1, v1, v1, v2, v3, v4) = v5) | ~ m1_subset_1(v4, v1) | ~ m1_subset_1(v3, v1) | k1_lattices(v0, v3, v4) = v5)))
% 17.03/4.42 | (60) v1_funct_1(all_0_4_4)
% 17.03/4.42 | (61) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : m2_lattice4(v1, v0))
% 17.03/4.42 | (62) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3)))
% 17.03/4.42 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_lattices(v2) = v1) | ~ (u1_lattices(v2) = v0))
% 17.03/4.42 | (64) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_lattices(v2) = v1) | ~ (u2_lattices(v2) = v0))
% 17.03/4.42 | (65) ~ v3_struct_0(all_0_11_11)
% 17.03/4.42 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v2 | ~ (k2_lattices(v0, v2, v4) = v5) | ~ (k1_lattices(v0, v2, v3) = v4) | ~ (u1_struct_0(v0) = v1) | ~ v9_lattices(v0) | ~ m1_subset_1(v3, v1) | ~ m1_subset_1(v2, v1) | ~ l3_lattices(v0) | v3_struct_0(v0))
% 17.03/4.42 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v1) | ~ (k2_binop_1(v7, v6, v5, v4, v3, v2) = v0))
% 17.03/4.42 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k3_lattices(v4, v3, v2) = v1) | ~ (k3_lattices(v4, v3, v2) = v0))
% 17.03/4.42 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k4_lattices(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 17.03/4.42 | (70) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 17.03/4.42 | (71) l2_lattices(all_0_2_2)
% 17.03/4.42 | (72) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0))
% 17.03/4.42 | (73) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0))
% 17.03/4.42 | (74) v1_xboole_0(k1_xboole_0)
% 17.03/4.42 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(v0, v2, v1) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k3_lattices(v0, v1, v2) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 17.03/4.42 | (76) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 17.03/4.42 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) | ~ v1_funct_1(v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | ? [v7] : ? [v8] : (k1_binop_1(v3, v4, v5) = v8 & k2_zfmisc_1(v0, v1) = v7 & (v8 = v6 | ~ m1_relset_1(v3, v7, v2) | ~ v1_funct_2(v3, v7, v2))))
% 17.03/4.42 | (78) ~ v1_xboole_0(all_0_8_8)
% 17.03/4.42 | (79) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0))
% 17.03/4.42 | (80) v1_xboole_0(all_0_7_7)
% 17.03/4.42 | (81) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 17.03/4.42 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0))
% 17.03/4.42 | (83) ! [v0] : ( ~ v9_lattices(v0) | ~ v8_lattices(v0) | ~ v7_lattices(v0) | ~ v6_lattices(v0) | ~ v5_lattices(v0) | ~ v4_lattices(v0) | ~ l3_lattices(v0) | v10_lattices(v0) | v3_struct_0(v0))
% 17.03/4.42 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 17.03/4.42 | (85) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 17.03/4.42 | (86) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0))
% 17.03/4.42 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_tarski(v3, v2) = v1) | ~ (k2_tarski(v3, v2) = v0))
% 17.03/4.43 | (88) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 17.03/4.43 | (89) ! [v0] : ! [v1] : ! [v2] : ( ~ (k4_tarski(v0, v1) = v2) | ? [v3] : ? [v4] : (k1_tarski(v0) = v4 & k2_tarski(v3, v4) = v2 & k2_tarski(v0, v1) = v3))
% 17.03/4.43 | (90) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & v1_partfun1(v1, v3, v2) & v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2)))
% 17.03/4.43 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k1_binop_1(v4, v3, v2) = v1) | ~ (k1_binop_1(v4, v3, v2) = v0))
% 17.03/4.43 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 17.03/4.43 | (93) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | v1_realset1(v1))
% 17.03/4.43 | (94) m1_subset_1(all_0_12_12, all_0_13_13)
% 17.03/4.43 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v3] : (u2_lattices(v0) = v3 & v1_partfun1(v3, v2, v1) & v1_binop_1(v3, v1) & v1_funct_2(v3, v2, v1) & v1_relat_1(v3) & v1_funct_1(v3)))
% 17.03/4.43 | (96) l3_lattices(all_0_15_15)
% 17.03/4.43 | (97) l1_lattices(all_0_0_0)
% 17.03/4.43 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k4_tarski(v3, v2) = v1) | ~ (k4_tarski(v3, v2) = v0))
% 17.03/4.43 | (99) ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0))
% 17.03/4.43 | (100) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u2_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & v2_binop_1(v2, v1) & v1_partfun1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2)))
% 17.03/4.43 | (101) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xboole_0(v1))
% 17.03/4.43 | (102) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u2_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & v1_partfun1(v2, v3, v1) & v1_binop_1(v2, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2)))
% 17.03/4.43 | (103) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 17.03/4.43 | (104) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0))
% 17.03/4.43 | (105) l1_struct_0(all_0_1_1)
% 17.03/4.43 | (106) ? [v0] : r1_tarski(v0, v0)
% 17.03/4.43 | (107) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0))
% 17.03/4.43 | (108) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & v1_partfun1(v2, v3, v1) & v1_binop_1(v2, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2)))
% 17.03/4.43 | (109) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0))
% 17.03/4.43 | (110) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | v1_funct_1(v1))
% 17.03/4.43 | (111) l1_struct_0(all_0_11_11)
% 17.03/4.43 | (112) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 17.03/4.43 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_binop_1(v0, v1, v2) = v3) | ~ v1_relat_1(v0) | ~ v1_funct_1(v0) | ? [v4] : (k4_tarski(v1, v2) = v4 & k1_funct_1(v0, v4) = v3))
% 17.03/4.43 | (114) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 17.03/4.43 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_binop_1(v0, v1, v2, v3, v4, v5) = v6) | ~ v1_funct_1(v3) | ~ m1_subset_1(v5, v1) | ~ m1_subset_1(v4, v0) | v1_xboole_0(v1) | v1_xboole_0(v0) | m1_subset_1(v6, v2) | ? [v7] : (k2_zfmisc_1(v0, v1) = v7 & ( ~ m1_relset_1(v3, v7, v2) | ~ v1_funct_2(v3, v7, v2))))
% 17.03/4.43 | (116) ~ v1_xboole_0(all_0_9_9)
% 17.03/4.43 | (117) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ? [v2] : ? [v3] : (u1_lattices(v0) = v2 & k2_zfmisc_1(v1, v1) = v3 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 17.03/4.43 | (118) ? [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)))
% 17.03/4.43 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 17.03/4.43 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(v0, v1, v2) = v3) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (u1_struct_0(v0) = v4 & k3_lattices(v0, v2, v1) = v5 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 17.03/4.43 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(v0, v1, v2) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k4_lattices(v0, v2, v1) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 17.03/4.43 | (122) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v0) = v1) | ~ (k2_zfmisc_1(v1, v1) = v2) | ~ l1_lattices(v0) | ? [v3] : (u1_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 17.03/4.43 | (123) v1_xboole_0(all_0_6_6)
% 17.03/4.43 | (124) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_lattices(v0, v3, v4) = v5) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2) | k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2) | k2_lattices(v0, v3, v4) = v5)))
% 17.03/4.43 | (125) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & v2_binop_1(v1, v2) & v1_partfun1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 17.03/4.43 | (126) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 17.03/4.43 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 17.03/4.44 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(v0, v2, v1) = v3) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k4_lattices(v0, v1, v2) = v5 & u1_struct_0(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 17.03/4.44 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k1_lattices(v4, v3, v2) = v1) | ~ (k1_lattices(v4, v3, v2) = v0))
% 17.03/4.44 | (130) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0))
% 17.03/4.44 | (131) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0))
% 17.03/4.44 | (132) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 17.03/4.44 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 17.03/4.44 | (134) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 17.03/4.44 | (135) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l3_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = v2) & k2_lattices(v0, v2, v4) = v5 & k1_lattices(v0, v2, v3) = v4 & m1_subset_1(v3, v1) & m1_subset_1(v2, v1)))
% 17.03/4.44 | (136) k1_zfmisc_1(all_0_14_14) = all_0_13_13
% 17.03/4.44 | (137) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0))
% 17.03/4.44 | (138) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_struct_0(v0) | ? [v1] : (m2_lattice4(v1, v0) & ~ v1_xboole_0(v1)))
% 17.03/4.44 | (139) v1_realset1(all_0_5_5)
% 17.03/4.44 | (140) v1_funct_1(all_0_7_7)
% 17.03/4.44 | (141) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (u1_struct_0(v0) = v2 & k2_zfmisc_1(v2, v2) = v3 & v2_binop_1(v1, v2) & v1_partfun1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 17.03/4.44 | (142) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v0, v1) = v2) | k2_tarski(v1, v0) = v2)
% 17.03/4.44 | (143) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_tarski(v1, v0) = v2) | k2_tarski(v0, v1) = v2)
% 17.03/4.44 | (144) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | v1_finset_1(v1))
% 17.03/4.44 | (145) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_lattices(v0, v3, v4) = v5) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2) | k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) & ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_binop_1(v2, v2, v2, v1, v3, v4) = v5) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2) | k1_lattices(v0, v3, v4) = v5)))
% 17.03/4.44 |
% 17.03/4.44 | Instantiating formula (99) with all_0_15_15 and discharging atoms l3_lattices(all_0_15_15), yields:
% 17.03/4.44 | (146) l1_lattices(all_0_15_15)
% 17.03/4.44 |
% 17.03/4.44 | Instantiating formula (9) with all_0_15_15 and discharging atoms l3_lattices(all_0_15_15), yields:
% 17.03/4.44 | (147) l2_lattices(all_0_15_15)
% 17.03/4.44 |
% 17.03/4.44 | Instantiating formula (48) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.44 | (148) ? [v0] : (k1_zfmisc_1(all_0_14_14) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k4_lattices(all_0_15_15, v2, v3) = v4) | ~ m2_lattice4(v1, all_0_15_15) | ~ r2_hidden(v3, v1) | ~ r2_hidden(v2, v1) | ~ m1_subset_1(v3, all_0_14_14) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, v0) | r2_hidden(v4, v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k4_lattices(all_0_15_15, v2, v3) = v4) | ~ m2_lattice4(v1, all_0_15_15) | ~ r2_hidden(v3, v1) | ~ r2_hidden(v2, v1) | ~ m1_subset_1(v3, all_0_14_14) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, v0) | ? [v5] : (k3_lattices(all_0_15_15, v2, v3) = v5 & r2_hidden(v5, v1))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k3_lattices(all_0_15_15, v2, v3) = v4) | ~ m2_lattice4(v1, all_0_15_15) | ~ r2_hidden(v3, v1) | ~ r2_hidden(v2, v1) | ~ m1_subset_1(v3, all_0_14_14) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, v0) | r2_hidden(v4, v1)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k3_lattices(all_0_15_15, v2, v3) = v4) | ~ m2_lattice4(v1, all_0_15_15) | ~ r2_hidden(v3, v1) | ~ r2_hidden(v2, v1) | ~ m1_subset_1(v3, all_0_14_14) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, v0) | ? [v5] : (k4_lattices(all_0_15_15, v2, v3) = v5 & r2_hidden(v5, v1))) & ! [v1] : ( ~ m1_subset_1(v1, v0) | m2_lattice4(v1, all_0_15_15) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (k4_lattices(all_0_15_15, v2, v3) = v4 & k3_lattices(all_0_15_15, v2, v3) = v5 & r2_hidden(v3, v1) & r2_hidden(v2, v1) & m1_subset_1(v3, all_0_14_14) & m1_subset_1(v2, all_0_14_14) & ( ~ r2_hidden(v5, v1) | ~ r2_hidden(v4, v1)))))
% 17.03/4.44 |
% 17.03/4.44 | Instantiating formula (40) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l3_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.44 | (149) ? [v0] : (k1_zfmisc_1(all_0_14_14) = v0 & ! [v1] : ( ~ m2_lattice4(v1, all_0_15_15) | m1_subset_1(v1, v0)))
% 17.03/4.44 |
% 17.03/4.44 | Instantiating formula (5) with all_0_15_15 and discharging atoms l3_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.44 | (150) v9_lattices(all_0_15_15)
% 17.03/4.44 |
% 17.03/4.44 | Instantiating formula (73) with all_0_15_15 and discharging atoms l3_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.44 | (151) v7_lattices(all_0_15_15)
% 17.03/4.44 |
% 17.03/4.44 | Instantiating formula (28) with all_0_15_15 and discharging atoms l3_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.44 | (152) v6_lattices(all_0_15_15)
% 17.03/4.44 |
% 17.03/4.44 | Instantiating formula (130) with all_0_15_15 and discharging atoms l3_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.44 | (153) v5_lattices(all_0_15_15)
% 17.03/4.44 |
% 17.03/4.44 | Instantiating formula (137) with all_0_15_15 and discharging atoms l3_lattices(all_0_15_15), v10_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.44 | (154) v4_lattices(all_0_15_15)
% 17.03/4.44 |
% 17.03/4.44 | Instantiating (149) with all_23_0_26 yields:
% 17.03/4.44 | (155) k1_zfmisc_1(all_0_14_14) = all_23_0_26 & ! [v0] : ( ~ m2_lattice4(v0, all_0_15_15) | m1_subset_1(v0, all_23_0_26))
% 17.03/4.44 |
% 17.03/4.44 | Applying alpha-rule on (155) yields:
% 17.03/4.44 | (156) k1_zfmisc_1(all_0_14_14) = all_23_0_26
% 17.03/4.44 | (157) ! [v0] : ( ~ m2_lattice4(v0, all_0_15_15) | m1_subset_1(v0, all_23_0_26))
% 17.03/4.44 |
% 17.03/4.44 | Instantiating (148) with all_26_0_27 yields:
% 17.03/4.44 | (158) k1_zfmisc_1(all_0_14_14) = all_26_0_27 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(all_0_15_15, v1, v2) = v3) | ~ m2_lattice4(v0, all_0_15_15) | ~ r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_26_0_27) | r2_hidden(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(all_0_15_15, v1, v2) = v3) | ~ m2_lattice4(v0, all_0_15_15) | ~ r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_26_0_27) | ? [v4] : (k3_lattices(all_0_15_15, v1, v2) = v4 & r2_hidden(v4, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(all_0_15_15, v1, v2) = v3) | ~ m2_lattice4(v0, all_0_15_15) | ~ r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_26_0_27) | r2_hidden(v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(all_0_15_15, v1, v2) = v3) | ~ m2_lattice4(v0, all_0_15_15) | ~ r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_26_0_27) | ? [v4] : (k4_lattices(all_0_15_15, v1, v2) = v4 & r2_hidden(v4, v0))) & ! [v0] : ( ~ m1_subset_1(v0, all_26_0_27) | m2_lattice4(v0, all_0_15_15) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (k4_lattices(all_0_15_15, v1, v2) = v3 & k3_lattices(all_0_15_15, v1, v2) = v4 & r2_hidden(v2, v0) & r2_hidden(v1, v0) & m1_subset_1(v2, all_0_14_14) & m1_subset_1(v1, all_0_14_14) & ( ~ r2_hidden(v4, v0) | ~ r2_hidden(v3, v0))))
% 17.03/4.45 |
% 17.03/4.45 | Applying alpha-rule on (158) yields:
% 17.03/4.45 | (159) ! [v0] : ( ~ m1_subset_1(v0, all_26_0_27) | m2_lattice4(v0, all_0_15_15) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : (k4_lattices(all_0_15_15, v1, v2) = v3 & k3_lattices(all_0_15_15, v1, v2) = v4 & r2_hidden(v2, v0) & r2_hidden(v1, v0) & m1_subset_1(v2, all_0_14_14) & m1_subset_1(v1, all_0_14_14) & ( ~ r2_hidden(v4, v0) | ~ r2_hidden(v3, v0))))
% 17.03/4.45 | (160) k1_zfmisc_1(all_0_14_14) = all_26_0_27
% 17.03/4.45 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(all_0_15_15, v1, v2) = v3) | ~ m2_lattice4(v0, all_0_15_15) | ~ r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_26_0_27) | ? [v4] : (k3_lattices(all_0_15_15, v1, v2) = v4 & r2_hidden(v4, v0)))
% 17.03/4.45 | (162) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(all_0_15_15, v1, v2) = v3) | ~ m2_lattice4(v0, all_0_15_15) | ~ r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_26_0_27) | ? [v4] : (k4_lattices(all_0_15_15, v1, v2) = v4 & r2_hidden(v4, v0)))
% 17.03/4.45 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k3_lattices(all_0_15_15, v1, v2) = v3) | ~ m2_lattice4(v0, all_0_15_15) | ~ r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_26_0_27) | r2_hidden(v3, v0))
% 17.03/4.45 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k4_lattices(all_0_15_15, v1, v2) = v3) | ~ m2_lattice4(v0, all_0_15_15) | ~ r2_hidden(v2, v0) | ~ r2_hidden(v1, v0) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_26_0_27) | r2_hidden(v3, v0))
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (18) with all_0_14_14, all_26_0_27, all_0_13_13 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_26_0_27, k1_zfmisc_1(all_0_14_14) = all_0_13_13, yields:
% 17.03/4.45 | (165) all_26_0_27 = all_0_13_13
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (18) with all_0_14_14, all_23_0_26, all_26_0_27 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_26_0_27, k1_zfmisc_1(all_0_14_14) = all_23_0_26, yields:
% 17.03/4.45 | (166) all_26_0_27 = all_23_0_26
% 17.03/4.45 |
% 17.03/4.45 | Combining equations (166,165) yields a new equation:
% 17.03/4.45 | (167) all_23_0_26 = all_0_13_13
% 17.03/4.45 |
% 17.03/4.45 | Simplifying 167 yields:
% 17.03/4.45 | (168) all_23_0_26 = all_0_13_13
% 17.03/4.45 |
% 17.03/4.45 | From (168) and (156) follows:
% 17.03/4.45 | (136) k1_zfmisc_1(all_0_14_14) = all_0_13_13
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (15) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l1_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.45 | (170) ? [v0] : (u1_lattices(all_0_15_15) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_lattices(all_0_15_15, v1, v2) = v3) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, v0, v1, v2) = v3) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, v0, v1, v2) = v3) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | k2_lattices(all_0_15_15, v1, v2) = v3))
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (117) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l1_lattices(all_0_15_15), yields:
% 17.03/4.45 | (171) ? [v0] : ? [v1] : (u1_lattices(all_0_15_15) = v0 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = v1 & m2_relset_1(v0, v1, all_0_14_14) & v1_funct_2(v0, v1, all_0_14_14) & v1_funct_1(v0))
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (59) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l2_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.45 | (172) ? [v0] : (u2_lattices(all_0_15_15) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_lattices(all_0_15_15, v1, v2) = v3) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, v0, v1, v2) = v3) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, v0, v1, v2) = v3) | ~ m1_subset_1(v2, all_0_14_14) | ~ m1_subset_1(v1, all_0_14_14) | k1_lattices(all_0_15_15, v1, v2) = v3))
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (29) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l2_lattices(all_0_15_15), yields:
% 17.03/4.45 | (173) ? [v0] : ? [v1] : (u2_lattices(all_0_15_15) = v0 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = v1 & m2_relset_1(v0, v1, all_0_14_14) & v1_funct_2(v0, v1, all_0_14_14) & v1_funct_1(v0))
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (32) with all_0_15_15 and discharging atoms l2_lattices(all_0_15_15), yields:
% 17.03/4.45 | (174) l1_struct_0(all_0_15_15)
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (57) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l1_lattices(all_0_15_15), v7_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.45 | (175) ? [v0] : ? [v1] : (u1_lattices(all_0_15_15) = v0 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = v1 & v2_binop_1(v0, all_0_14_14) & v1_partfun1(v0, v1, all_0_14_14) & v1_funct_2(v0, v1, all_0_14_14) & v1_relat_1(v0) & v1_funct_1(v0))
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (108) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.45 | (176) ? [v0] : ? [v1] : (u1_lattices(all_0_15_15) = v0 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = v1 & v1_partfun1(v0, v1, all_0_14_14) & v1_binop_1(v0, all_0_14_14) & v1_funct_2(v0, v1, all_0_14_14) & v1_relat_1(v0) & v1_funct_1(v0))
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (100) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l2_lattices(all_0_15_15), v5_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.45 | (177) ? [v0] : ? [v1] : (u2_lattices(all_0_15_15) = v0 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = v1 & v2_binop_1(v0, all_0_14_14) & v1_partfun1(v0, v1, all_0_14_14) & v1_funct_2(v0, v1, all_0_14_14) & v1_relat_1(v0) & v1_funct_1(v0))
% 17.03/4.45 |
% 17.03/4.45 | Instantiating formula (102) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l2_lattices(all_0_15_15), v4_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.45 | (178) ? [v0] : ? [v1] : (u2_lattices(all_0_15_15) = v0 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = v1 & v1_partfun1(v0, v1, all_0_14_14) & v1_binop_1(v0, all_0_14_14) & v1_funct_2(v0, v1, all_0_14_14) & v1_relat_1(v0) & v1_funct_1(v0))
% 17.03/4.45 |
% 17.03/4.45 | Instantiating (178) with all_45_0_31, all_45_1_32 yields:
% 17.03/4.45 | (179) u2_lattices(all_0_15_15) = all_45_1_32 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_45_0_31 & v1_partfun1(all_45_1_32, all_45_0_31, all_0_14_14) & v1_binop_1(all_45_1_32, all_0_14_14) & v1_funct_2(all_45_1_32, all_45_0_31, all_0_14_14) & v1_relat_1(all_45_1_32) & v1_funct_1(all_45_1_32)
% 17.03/4.45 |
% 17.03/4.45 | Applying alpha-rule on (179) yields:
% 17.03/4.45 | (180) v1_relat_1(all_45_1_32)
% 17.03/4.45 | (181) v1_funct_2(all_45_1_32, all_45_0_31, all_0_14_14)
% 17.03/4.45 | (182) v1_partfun1(all_45_1_32, all_45_0_31, all_0_14_14)
% 17.03/4.45 | (183) k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_45_0_31
% 17.03/4.45 | (184) v1_binop_1(all_45_1_32, all_0_14_14)
% 17.03/4.45 | (185) v1_funct_1(all_45_1_32)
% 17.03/4.45 | (186) u2_lattices(all_0_15_15) = all_45_1_32
% 17.03/4.45 |
% 17.03/4.45 | Instantiating (171) with all_47_0_33, all_47_1_34 yields:
% 17.03/4.45 | (187) u1_lattices(all_0_15_15) = all_47_1_34 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_47_0_33 & m2_relset_1(all_47_1_34, all_47_0_33, all_0_14_14) & v1_funct_2(all_47_1_34, all_47_0_33, all_0_14_14) & v1_funct_1(all_47_1_34)
% 17.03/4.45 |
% 17.03/4.45 | Applying alpha-rule on (187) yields:
% 17.03/4.45 | (188) u1_lattices(all_0_15_15) = all_47_1_34
% 17.03/4.45 | (189) k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_47_0_33
% 17.03/4.45 | (190) v1_funct_1(all_47_1_34)
% 17.03/4.45 | (191) v1_funct_2(all_47_1_34, all_47_0_33, all_0_14_14)
% 17.03/4.45 | (192) m2_relset_1(all_47_1_34, all_47_0_33, all_0_14_14)
% 17.03/4.45 |
% 17.03/4.45 | Instantiating (177) with all_49_0_35, all_49_1_36 yields:
% 17.03/4.45 | (193) u2_lattices(all_0_15_15) = all_49_1_36 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_49_0_35 & v2_binop_1(all_49_1_36, all_0_14_14) & v1_partfun1(all_49_1_36, all_49_0_35, all_0_14_14) & v1_funct_2(all_49_1_36, all_49_0_35, all_0_14_14) & v1_relat_1(all_49_1_36) & v1_funct_1(all_49_1_36)
% 17.03/4.46 |
% 17.03/4.46 | Applying alpha-rule on (193) yields:
% 17.03/4.46 | (194) v1_relat_1(all_49_1_36)
% 17.03/4.46 | (195) u2_lattices(all_0_15_15) = all_49_1_36
% 17.03/4.46 | (196) k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_49_0_35
% 17.03/4.46 | (197) v1_funct_2(all_49_1_36, all_49_0_35, all_0_14_14)
% 17.03/4.46 | (198) v2_binop_1(all_49_1_36, all_0_14_14)
% 17.03/4.46 | (199) v1_funct_1(all_49_1_36)
% 17.03/4.46 | (200) v1_partfun1(all_49_1_36, all_49_0_35, all_0_14_14)
% 17.03/4.46 |
% 17.03/4.46 | Instantiating (176) with all_51_0_37, all_51_1_38 yields:
% 17.03/4.46 | (201) u1_lattices(all_0_15_15) = all_51_1_38 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_51_0_37 & v1_partfun1(all_51_1_38, all_51_0_37, all_0_14_14) & v1_binop_1(all_51_1_38, all_0_14_14) & v1_funct_2(all_51_1_38, all_51_0_37, all_0_14_14) & v1_relat_1(all_51_1_38) & v1_funct_1(all_51_1_38)
% 17.03/4.46 |
% 17.03/4.46 | Applying alpha-rule on (201) yields:
% 17.03/4.46 | (202) v1_funct_2(all_51_1_38, all_51_0_37, all_0_14_14)
% 17.03/4.46 | (203) v1_binop_1(all_51_1_38, all_0_14_14)
% 17.03/4.46 | (204) v1_relat_1(all_51_1_38)
% 17.03/4.46 | (205) k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_51_0_37
% 17.03/4.46 | (206) u1_lattices(all_0_15_15) = all_51_1_38
% 17.03/4.46 | (207) v1_partfun1(all_51_1_38, all_51_0_37, all_0_14_14)
% 17.03/4.46 | (208) v1_funct_1(all_51_1_38)
% 17.03/4.46 |
% 17.03/4.46 | Instantiating (173) with all_53_0_39, all_53_1_40 yields:
% 17.03/4.46 | (209) u2_lattices(all_0_15_15) = all_53_1_40 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_53_0_39 & m2_relset_1(all_53_1_40, all_53_0_39, all_0_14_14) & v1_funct_2(all_53_1_40, all_53_0_39, all_0_14_14) & v1_funct_1(all_53_1_40)
% 17.03/4.46 |
% 17.03/4.46 | Applying alpha-rule on (209) yields:
% 17.03/4.46 | (210) v1_funct_2(all_53_1_40, all_53_0_39, all_0_14_14)
% 17.03/4.46 | (211) k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_53_0_39
% 17.03/4.46 | (212) m2_relset_1(all_53_1_40, all_53_0_39, all_0_14_14)
% 17.03/4.46 | (213) u2_lattices(all_0_15_15) = all_53_1_40
% 17.03/4.46 | (214) v1_funct_1(all_53_1_40)
% 17.03/4.46 |
% 17.03/4.46 | Instantiating (170) with all_55_0_41 yields:
% 17.03/4.46 | (215) u1_lattices(all_0_15_15) = all_55_0_41 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_lattices(all_0_15_15, v0, v1) = v2) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, all_55_0_41, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, all_55_0_41, v0, v1) = v2) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | k2_lattices(all_0_15_15, v0, v1) = v2)
% 17.03/4.46 |
% 17.03/4.46 | Applying alpha-rule on (215) yields:
% 17.03/4.46 | (216) u1_lattices(all_0_15_15) = all_55_0_41
% 17.03/4.46 | (217) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_lattices(all_0_15_15, v0, v1) = v2) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, all_55_0_41, v0, v1) = v2)
% 17.03/4.46 | (218) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, all_55_0_41, v0, v1) = v2) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | k2_lattices(all_0_15_15, v0, v1) = v2)
% 17.03/4.46 |
% 17.03/4.46 | Instantiating (172) with all_58_0_42 yields:
% 17.03/4.46 | (219) u2_lattices(all_0_15_15) = all_58_0_42 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_lattices(all_0_15_15, v0, v1) = v2) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, all_58_0_42, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, all_58_0_42, v0, v1) = v2) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | k1_lattices(all_0_15_15, v0, v1) = v2)
% 17.03/4.46 |
% 17.03/4.46 | Applying alpha-rule on (219) yields:
% 17.03/4.46 | (220) u2_lattices(all_0_15_15) = all_58_0_42
% 17.03/4.46 | (221) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_lattices(all_0_15_15, v0, v1) = v2) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, all_58_0_42, v0, v1) = v2)
% 17.03/4.46 | (222) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_0_14_14, all_0_14_14, all_0_14_14, all_58_0_42, v0, v1) = v2) | ~ m1_subset_1(v1, all_0_14_14) | ~ m1_subset_1(v0, all_0_14_14) | k1_lattices(all_0_15_15, v0, v1) = v2)
% 17.03/4.46 |
% 17.03/4.46 | Instantiating (175) with all_61_0_43, all_61_1_44 yields:
% 17.03/4.46 | (223) u1_lattices(all_0_15_15) = all_61_1_44 & k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_61_0_43 & v2_binop_1(all_61_1_44, all_0_14_14) & v1_partfun1(all_61_1_44, all_61_0_43, all_0_14_14) & v1_funct_2(all_61_1_44, all_61_0_43, all_0_14_14) & v1_relat_1(all_61_1_44) & v1_funct_1(all_61_1_44)
% 17.03/4.46 |
% 17.03/4.46 | Applying alpha-rule on (223) yields:
% 17.03/4.46 | (224) v1_relat_1(all_61_1_44)
% 17.03/4.46 | (225) v1_partfun1(all_61_1_44, all_61_0_43, all_0_14_14)
% 17.03/4.46 | (226) v2_binop_1(all_61_1_44, all_0_14_14)
% 17.03/4.46 | (227) u1_lattices(all_0_15_15) = all_61_1_44
% 17.03/4.46 | (228) v1_funct_1(all_61_1_44)
% 17.03/4.46 | (229) k2_zfmisc_1(all_0_14_14, all_0_14_14) = all_61_0_43
% 17.03/4.46 | (230) v1_funct_2(all_61_1_44, all_61_0_43, all_0_14_14)
% 17.03/4.46 |
% 17.03/4.46 | Instantiating formula (63) with all_0_15_15, all_55_0_41, all_61_1_44 and discharging atoms u1_lattices(all_0_15_15) = all_61_1_44, u1_lattices(all_0_15_15) = all_55_0_41, yields:
% 17.03/4.46 | (231) all_61_1_44 = all_55_0_41
% 17.03/4.46 |
% 17.03/4.46 | Instantiating formula (63) with all_0_15_15, all_51_1_38, all_55_0_41 and discharging atoms u1_lattices(all_0_15_15) = all_55_0_41, u1_lattices(all_0_15_15) = all_51_1_38, yields:
% 17.03/4.46 | (232) all_55_0_41 = all_51_1_38
% 17.03/4.46 |
% 17.03/4.46 | Instantiating formula (63) with all_0_15_15, all_47_1_34, all_61_1_44 and discharging atoms u1_lattices(all_0_15_15) = all_61_1_44, u1_lattices(all_0_15_15) = all_47_1_34, yields:
% 17.03/4.46 | (233) all_61_1_44 = all_47_1_34
% 17.03/4.46 |
% 17.03/4.46 | Instantiating formula (64) with all_0_15_15, all_53_1_40, all_58_0_42 and discharging atoms u2_lattices(all_0_15_15) = all_58_0_42, u2_lattices(all_0_15_15) = all_53_1_40, yields:
% 17.03/4.46 | (234) all_58_0_42 = all_53_1_40
% 17.03/4.46 |
% 17.03/4.46 | Instantiating formula (64) with all_0_15_15, all_49_1_36, all_58_0_42 and discharging atoms u2_lattices(all_0_15_15) = all_58_0_42, u2_lattices(all_0_15_15) = all_49_1_36, yields:
% 17.03/4.46 | (235) all_58_0_42 = all_49_1_36
% 17.03/4.46 |
% 17.03/4.46 | Instantiating formula (64) with all_0_15_15, all_45_1_32, all_58_0_42 and discharging atoms u2_lattices(all_0_15_15) = all_58_0_42, u2_lattices(all_0_15_15) = all_45_1_32, yields:
% 17.03/4.46 | (236) all_58_0_42 = all_45_1_32
% 17.03/4.46 |
% 17.03/4.46 | Combining equations (231,233) yields a new equation:
% 17.03/4.46 | (237) all_55_0_41 = all_47_1_34
% 17.03/4.46 |
% 17.03/4.46 | Simplifying 237 yields:
% 17.03/4.46 | (238) all_55_0_41 = all_47_1_34
% 17.03/4.46 |
% 17.03/4.46 | Combining equations (236,234) yields a new equation:
% 17.03/4.46 | (239) all_53_1_40 = all_45_1_32
% 17.03/4.46 |
% 17.03/4.46 | Combining equations (235,234) yields a new equation:
% 17.03/4.46 | (240) all_53_1_40 = all_49_1_36
% 17.03/4.46 |
% 17.03/4.46 | Combining equations (232,238) yields a new equation:
% 17.03/4.46 | (241) all_51_1_38 = all_47_1_34
% 17.03/4.46 |
% 17.03/4.46 | Simplifying 241 yields:
% 17.03/4.46 | (242) all_51_1_38 = all_47_1_34
% 17.03/4.46 |
% 17.03/4.46 | Combining equations (239,240) yields a new equation:
% 17.03/4.46 | (243) all_49_1_36 = all_45_1_32
% 17.03/4.46 |
% 17.03/4.46 | From (242) and (206) follows:
% 17.03/4.46 | (188) u1_lattices(all_0_15_15) = all_47_1_34
% 17.03/4.46 |
% 17.03/4.46 | From (243) and (195) follows:
% 17.03/4.46 | (186) u2_lattices(all_0_15_15) = all_45_1_32
% 17.03/4.46 |
% 17.03/4.46 | Instantiating formula (124) with all_47_1_34, all_0_15_15 and discharging atoms u1_lattices(all_0_15_15) = all_47_1_34, l1_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.46 | (246) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_lattices(all_0_15_15, v1, v2) = v3) | ~ m1_subset_1(v2, v0) | ~ m1_subset_1(v1, v0) | k2_binop_1(v0, v0, v0, all_47_1_34, v1, v2) = v3) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_binop_1(v0, v0, v0, all_47_1_34, v1, v2) = v3) | ~ m1_subset_1(v2, v0) | ~ m1_subset_1(v1, v0) | k2_lattices(all_0_15_15, v1, v2) = v3))
% 17.03/4.46 |
% 17.03/4.46 | Instantiating formula (145) with all_45_1_32, all_0_15_15 and discharging atoms u2_lattices(all_0_15_15) = all_45_1_32, l2_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.46 | (247) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_lattices(all_0_15_15, v1, v2) = v3) | ~ m1_subset_1(v2, v0) | ~ m1_subset_1(v1, v0) | k2_binop_1(v0, v0, v0, all_45_1_32, v1, v2) = v3) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_binop_1(v0, v0, v0, all_45_1_32, v1, v2) = v3) | ~ m1_subset_1(v2, v0) | ~ m1_subset_1(v1, v0) | k1_lattices(all_0_15_15, v1, v2) = v3))
% 17.03/4.46 |
% 17.03/4.46 | Instantiating formula (62) with all_0_14_14, all_0_15_15 and discharging atoms u1_struct_0(all_0_15_15) = all_0_14_14, l1_struct_0(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.46 | (248) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_14_14) = v0 & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1))
% 17.03/4.46 |
% 17.03/4.46 | Instantiating (248) with all_73_0_45, all_73_1_46 yields:
% 17.03/4.46 | (249) k1_zfmisc_1(all_0_14_14) = all_73_1_46 & m1_subset_1(all_73_0_45, all_73_1_46) & ~ v1_xboole_0(all_73_0_45)
% 17.03/4.46 |
% 17.03/4.46 | Applying alpha-rule on (249) yields:
% 17.03/4.46 | (250) k1_zfmisc_1(all_0_14_14) = all_73_1_46
% 17.03/4.46 | (251) m1_subset_1(all_73_0_45, all_73_1_46)
% 17.03/4.46 | (252) ~ v1_xboole_0(all_73_0_45)
% 17.03/4.46 |
% 17.03/4.46 | Instantiating (247) with all_75_0_47 yields:
% 17.03/4.46 | (253) u1_struct_0(all_0_15_15) = all_75_0_47 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_lattices(all_0_15_15, v0, v1) = v2) | ~ m1_subset_1(v1, all_75_0_47) | ~ m1_subset_1(v0, all_75_0_47) | k2_binop_1(all_75_0_47, all_75_0_47, all_75_0_47, all_45_1_32, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_75_0_47, all_75_0_47, all_75_0_47, all_45_1_32, v0, v1) = v2) | ~ m1_subset_1(v1, all_75_0_47) | ~ m1_subset_1(v0, all_75_0_47) | k1_lattices(all_0_15_15, v0, v1) = v2)
% 17.03/4.46 |
% 17.03/4.46 | Applying alpha-rule on (253) yields:
% 17.03/4.46 | (254) u1_struct_0(all_0_15_15) = all_75_0_47
% 17.03/4.46 | (255) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_lattices(all_0_15_15, v0, v1) = v2) | ~ m1_subset_1(v1, all_75_0_47) | ~ m1_subset_1(v0, all_75_0_47) | k2_binop_1(all_75_0_47, all_75_0_47, all_75_0_47, all_45_1_32, v0, v1) = v2)
% 17.03/4.46 | (256) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_75_0_47, all_75_0_47, all_75_0_47, all_45_1_32, v0, v1) = v2) | ~ m1_subset_1(v1, all_75_0_47) | ~ m1_subset_1(v0, all_75_0_47) | k1_lattices(all_0_15_15, v0, v1) = v2)
% 17.03/4.46 |
% 17.03/4.46 | Instantiating (246) with all_78_0_48 yields:
% 17.03/4.46 | (257) u1_struct_0(all_0_15_15) = all_78_0_48 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_lattices(all_0_15_15, v0, v1) = v2) | ~ m1_subset_1(v1, all_78_0_48) | ~ m1_subset_1(v0, all_78_0_48) | k2_binop_1(all_78_0_48, all_78_0_48, all_78_0_48, all_47_1_34, v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_78_0_48, all_78_0_48, all_78_0_48, all_47_1_34, v0, v1) = v2) | ~ m1_subset_1(v1, all_78_0_48) | ~ m1_subset_1(v0, all_78_0_48) | k2_lattices(all_0_15_15, v0, v1) = v2)
% 17.03/4.47 |
% 17.03/4.47 | Applying alpha-rule on (257) yields:
% 17.03/4.47 | (258) u1_struct_0(all_0_15_15) = all_78_0_48
% 17.03/4.47 | (259) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_lattices(all_0_15_15, v0, v1) = v2) | ~ m1_subset_1(v1, all_78_0_48) | ~ m1_subset_1(v0, all_78_0_48) | k2_binop_1(all_78_0_48, all_78_0_48, all_78_0_48, all_47_1_34, v0, v1) = v2)
% 17.03/4.47 | (260) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_binop_1(all_78_0_48, all_78_0_48, all_78_0_48, all_47_1_34, v0, v1) = v2) | ~ m1_subset_1(v1, all_78_0_48) | ~ m1_subset_1(v0, all_78_0_48) | k2_lattices(all_0_15_15, v0, v1) = v2)
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (55) with all_0_15_15, all_78_0_48, all_0_14_14 and discharging atoms u1_struct_0(all_0_15_15) = all_78_0_48, u1_struct_0(all_0_15_15) = all_0_14_14, yields:
% 17.03/4.47 | (261) all_78_0_48 = all_0_14_14
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (55) with all_0_15_15, all_75_0_47, all_78_0_48 and discharging atoms u1_struct_0(all_0_15_15) = all_78_0_48, u1_struct_0(all_0_15_15) = all_75_0_47, yields:
% 17.03/4.47 | (262) all_78_0_48 = all_75_0_47
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (18) with all_0_14_14, all_73_1_46, all_0_13_13 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_73_1_46, k1_zfmisc_1(all_0_14_14) = all_0_13_13, yields:
% 17.03/4.47 | (263) all_73_1_46 = all_0_13_13
% 17.03/4.47 |
% 17.03/4.47 | Combining equations (261,262) yields a new equation:
% 17.03/4.47 | (264) all_75_0_47 = all_0_14_14
% 17.03/4.47 |
% 17.03/4.47 | From (264) and (254) follows:
% 17.03/4.47 | (37) u1_struct_0(all_0_15_15) = all_0_14_14
% 17.03/4.47 |
% 17.03/4.47 | From (263) and (250) follows:
% 17.03/4.47 | (136) k1_zfmisc_1(all_0_14_14) = all_0_13_13
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (159) with all_0_12_12 and discharging atoms ~ m2_lattice4(all_0_12_12, all_0_15_15), yields:
% 17.03/4.47 | (267) ~ m1_subset_1(all_0_12_12, all_26_0_27) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (k4_lattices(all_0_15_15, v0, v1) = v2 & k3_lattices(all_0_15_15, v0, v1) = v3 & r2_hidden(v1, all_0_12_12) & r2_hidden(v0, all_0_12_12) & m1_subset_1(v1, all_0_14_14) & m1_subset_1(v0, all_0_14_14) & ( ~ r2_hidden(v3, all_0_12_12) | ~ r2_hidden(v2, all_0_12_12)))
% 17.03/4.47 |
% 17.03/4.47 +-Applying beta-rule and splitting (267), into two cases.
% 17.03/4.47 |-Branch one:
% 17.03/4.47 | (268) ~ m1_subset_1(all_0_12_12, all_26_0_27)
% 17.03/4.47 |
% 17.03/4.47 | From (165) and (268) follows:
% 17.03/4.47 | (269) ~ m1_subset_1(all_0_12_12, all_0_13_13)
% 17.03/4.47 |
% 17.03/4.47 | Using (94) and (269) yields:
% 17.03/4.47 | (270) $false
% 17.03/4.47 |
% 17.03/4.47 |-The branch is then unsatisfiable
% 17.03/4.47 |-Branch two:
% 17.03/4.47 | (271) m1_subset_1(all_0_12_12, all_26_0_27)
% 17.03/4.47 | (272) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (k4_lattices(all_0_15_15, v0, v1) = v2 & k3_lattices(all_0_15_15, v0, v1) = v3 & r2_hidden(v1, all_0_12_12) & r2_hidden(v0, all_0_12_12) & m1_subset_1(v1, all_0_14_14) & m1_subset_1(v0, all_0_14_14) & ( ~ r2_hidden(v3, all_0_12_12) | ~ r2_hidden(v2, all_0_12_12)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating (272) with all_226_0_50, all_226_1_51, all_226_2_52, all_226_3_53 yields:
% 17.03/4.47 | (273) k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_1_51 & k3_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_0_50 & r2_hidden(all_226_2_52, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12) & m1_subset_1(all_226_2_52, all_0_14_14) & m1_subset_1(all_226_3_53, all_0_14_14) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12))
% 17.03/4.47 |
% 17.03/4.47 | Applying alpha-rule on (273) yields:
% 17.03/4.47 | (274) k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_1_51
% 17.03/4.47 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.03/4.47 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.03/4.47 | (277) k3_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_0_50
% 17.03/4.47 | (278) ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12)
% 17.03/4.47 | (279) r2_hidden(all_226_3_53, all_0_12_12)
% 17.03/4.47 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.03/4.47 |
% 17.03/4.47 | From (165) and (271) follows:
% 17.03/4.47 | (94) m1_subset_1(all_0_12_12, all_0_13_13)
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (128) with all_226_1_51, all_226_3_53, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_1_51, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.47 | (282) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_226_1_51 | ~ m1_subset_1(all_226_2_52, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (51) with all_226_1_51, all_226_2_52, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_1_51, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.47 | (283) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_226_1_51 | ~ m1_subset_1(all_226_2_52, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (84) with all_226_1_51, all_226_2_52, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_1_51, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.47 | (284) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_2_52, v0) | ~ m1_subset_1(all_226_3_53, v0) | m1_subset_1(all_226_1_51, v0)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (75) with all_226_0_50, all_226_3_53, all_226_2_52, all_0_15_15 and discharging atoms k3_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_0_50, l2_lattices(all_0_15_15), v4_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.47 | (285) ? [v0] : ? [v1] : (u1_struct_0(all_0_15_15) = v0 & k3_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = v1 & (v1 = all_226_0_50 | ~ m1_subset_1(all_226_2_52, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (54) with all_226_0_50, all_226_2_52, all_226_3_53, all_0_15_15 and discharging atoms k3_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_0_50, l2_lattices(all_0_15_15), v4_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.47 | (286) ? [v0] : ? [v1] : (k1_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_226_0_50 | ~ m1_subset_1(all_226_2_52, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (13) with all_226_0_50, all_226_2_52, all_226_3_53, all_0_15_15 and discharging atoms k3_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_0_50, l2_lattices(all_0_15_15), v4_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.03/4.47 | (287) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_2_52, v0) | ~ m1_subset_1(all_226_3_53, v0) | m1_subset_1(all_226_0_50, v0)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (47) with all_226_2_52, all_226_2_52 and discharging atoms m1_subset_1(all_226_2_52, all_0_14_14), yields:
% 17.03/4.47 | (288) ? [v0] : (k4_lattices(all_0_15_15, all_226_2_52, all_226_2_52) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | r2_hidden(all_226_2_52, all_0_12_12)) & ( ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (47) with all_226_3_53, all_226_2_52 and discharging atoms m1_subset_1(all_226_2_52, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.03/4.47 | (289) ? [v0] : (k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_2_52, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_2_52, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (47) with all_226_2_52, all_226_3_53 and discharging atoms m1_subset_1(all_226_2_52, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.03/4.47 | (290) ? [v0] : (k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_2_52, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_2_52, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating formula (47) with all_226_3_53, all_226_3_53 and discharging atoms m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.03/4.47 | (291) ? [v0] : (k4_lattices(all_0_15_15, all_226_3_53, all_226_3_53) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | r2_hidden(all_226_3_53, all_0_12_12)) & ( ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.03/4.47 |
% 17.03/4.47 | Instantiating (291) with all_238_0_54 yields:
% 17.03/4.47 | (292) k4_lattices(all_0_15_15, all_226_3_53, all_226_3_53) = all_238_0_54 & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | r2_hidden(all_226_3_53, all_0_12_12)) & ( ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_238_0_54, all_0_12_12))
% 17.03/4.47 |
% 17.03/4.47 | Applying alpha-rule on (292) yields:
% 17.03/4.47 | (293) k4_lattices(all_0_15_15, all_226_3_53, all_226_3_53) = all_238_0_54
% 17.03/4.47 | (294) ~ r2_hidden(all_238_0_54, all_0_12_12) | r2_hidden(all_226_3_53, all_0_12_12)
% 17.03/4.47 | (295) ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_238_0_54, all_0_12_12)
% 17.03/4.47 |
% 17.03/4.47 | Instantiating (288) with all_240_0_55 yields:
% 17.03/4.47 | (296) k4_lattices(all_0_15_15, all_226_2_52, all_226_2_52) = all_240_0_55 & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | r2_hidden(all_226_2_52, all_0_12_12)) & ( ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_240_0_55, all_0_12_12))
% 17.03/4.47 |
% 17.03/4.47 | Applying alpha-rule on (296) yields:
% 17.03/4.47 | (297) k4_lattices(all_0_15_15, all_226_2_52, all_226_2_52) = all_240_0_55
% 17.03/4.47 | (298) ~ r2_hidden(all_240_0_55, all_0_12_12) | r2_hidden(all_226_2_52, all_0_12_12)
% 17.03/4.47 | (299) ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_240_0_55, all_0_12_12)
% 17.03/4.47 |
% 17.03/4.47 | Instantiating (285) with all_242_0_56, all_242_1_57 yields:
% 17.03/4.47 | (300) u1_struct_0(all_0_15_15) = all_242_1_57 & k3_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_242_0_56 & (all_242_0_56 = all_226_0_50 | ~ m1_subset_1(all_226_2_52, all_242_1_57) | ~ m1_subset_1(all_226_3_53, all_242_1_57))
% 17.03/4.47 |
% 17.03/4.47 | Applying alpha-rule on (300) yields:
% 17.03/4.47 | (301) u1_struct_0(all_0_15_15) = all_242_1_57
% 17.03/4.47 | (302) k3_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_242_0_56
% 17.03/4.47 | (303) all_242_0_56 = all_226_0_50 | ~ m1_subset_1(all_226_2_52, all_242_1_57) | ~ m1_subset_1(all_226_3_53, all_242_1_57)
% 17.03/4.47 |
% 17.03/4.47 | Instantiating (284) with all_244_0_58 yields:
% 17.03/4.47 | (304) u1_struct_0(all_0_15_15) = all_244_0_58 & ( ~ m1_subset_1(all_226_2_52, all_244_0_58) | ~ m1_subset_1(all_226_3_53, all_244_0_58) | m1_subset_1(all_226_1_51, all_244_0_58))
% 17.03/4.47 |
% 17.03/4.47 | Applying alpha-rule on (304) yields:
% 17.03/4.47 | (305) u1_struct_0(all_0_15_15) = all_244_0_58
% 17.03/4.48 | (306) ~ m1_subset_1(all_226_2_52, all_244_0_58) | ~ m1_subset_1(all_226_3_53, all_244_0_58) | m1_subset_1(all_226_1_51, all_244_0_58)
% 17.03/4.48 |
% 17.03/4.48 | Instantiating (287) with all_246_0_59 yields:
% 17.03/4.48 | (307) u1_struct_0(all_0_15_15) = all_246_0_59 & ( ~ m1_subset_1(all_226_2_52, all_246_0_59) | ~ m1_subset_1(all_226_3_53, all_246_0_59) | m1_subset_1(all_226_0_50, all_246_0_59))
% 17.03/4.48 |
% 17.03/4.48 | Applying alpha-rule on (307) yields:
% 17.03/4.48 | (308) u1_struct_0(all_0_15_15) = all_246_0_59
% 17.03/4.48 | (309) ~ m1_subset_1(all_226_2_52, all_246_0_59) | ~ m1_subset_1(all_226_3_53, all_246_0_59) | m1_subset_1(all_226_0_50, all_246_0_59)
% 17.03/4.48 |
% 17.03/4.48 | Instantiating (286) with all_248_0_60, all_248_1_61 yields:
% 17.03/4.48 | (310) k1_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_248_0_60 & u1_struct_0(all_0_15_15) = all_248_1_61 & (all_248_0_60 = all_226_0_50 | ~ m1_subset_1(all_226_2_52, all_248_1_61) | ~ m1_subset_1(all_226_3_53, all_248_1_61))
% 17.03/4.48 |
% 17.03/4.48 | Applying alpha-rule on (310) yields:
% 17.03/4.48 | (311) k1_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_248_0_60
% 17.03/4.48 | (312) u1_struct_0(all_0_15_15) = all_248_1_61
% 17.03/4.48 | (313) all_248_0_60 = all_226_0_50 | ~ m1_subset_1(all_226_2_52, all_248_1_61) | ~ m1_subset_1(all_226_3_53, all_248_1_61)
% 17.03/4.48 |
% 17.03/4.48 | Instantiating (290) with all_250_0_62 yields:
% 17.03/4.48 | (314) k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_250_0_62 & ( ~ r2_hidden(all_250_0_62, all_0_12_12) | (r2_hidden(all_226_2_52, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_2_52, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_250_0_62, all_0_12_12))
% 17.03/4.48 |
% 17.03/4.48 | Applying alpha-rule on (314) yields:
% 17.03/4.48 | (315) k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_250_0_62
% 17.03/4.48 | (316) ~ r2_hidden(all_250_0_62, all_0_12_12) | (r2_hidden(all_226_2_52, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))
% 17.03/4.48 | (317) ~ r2_hidden(all_226_2_52, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_250_0_62, all_0_12_12)
% 17.03/4.48 |
% 17.03/4.48 | Instantiating (289) with all_252_0_63 yields:
% 17.03/4.48 | (318) k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_252_0_63 & ( ~ r2_hidden(all_252_0_63, all_0_12_12) | (r2_hidden(all_226_2_52, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_2_52, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_252_0_63, all_0_12_12))
% 17.03/4.48 |
% 17.03/4.48 | Applying alpha-rule on (318) yields:
% 17.03/4.48 | (319) k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_252_0_63
% 17.03/4.48 | (320) ~ r2_hidden(all_252_0_63, all_0_12_12) | (r2_hidden(all_226_2_52, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))
% 17.03/4.48 | (321) ~ r2_hidden(all_226_2_52, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_252_0_63, all_0_12_12)
% 17.03/4.48 |
% 17.03/4.48 | Instantiating (283) with all_254_0_64, all_254_1_65 yields:
% 17.03/4.48 | (322) k2_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_254_0_64 & u1_struct_0(all_0_15_15) = all_254_1_65 & (all_254_0_64 = all_226_1_51 | ~ m1_subset_1(all_226_2_52, all_254_1_65) | ~ m1_subset_1(all_226_3_53, all_254_1_65))
% 17.03/4.48 |
% 17.03/4.48 | Applying alpha-rule on (322) yields:
% 17.03/4.48 | (323) k2_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_254_0_64
% 17.03/4.48 | (324) u1_struct_0(all_0_15_15) = all_254_1_65
% 17.03/4.48 | (325) all_254_0_64 = all_226_1_51 | ~ m1_subset_1(all_226_2_52, all_254_1_65) | ~ m1_subset_1(all_226_3_53, all_254_1_65)
% 17.03/4.48 |
% 17.03/4.48 | Instantiating (282) with all_256_0_66, all_256_1_67 yields:
% 17.03/4.48 | (326) k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_256_0_66 & u1_struct_0(all_0_15_15) = all_256_1_67 & (all_256_0_66 = all_226_1_51 | ~ m1_subset_1(all_226_2_52, all_256_1_67) | ~ m1_subset_1(all_226_3_53, all_256_1_67))
% 17.03/4.48 |
% 17.03/4.48 | Applying alpha-rule on (326) yields:
% 17.03/4.48 | (327) k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_256_0_66
% 17.03/4.48 | (328) u1_struct_0(all_0_15_15) = all_256_1_67
% 17.03/4.48 | (329) all_256_0_66 = all_226_1_51 | ~ m1_subset_1(all_226_2_52, all_256_1_67) | ~ m1_subset_1(all_226_3_53, all_256_1_67)
% 17.03/4.48 |
% 17.32/4.48 +-Applying beta-rule and splitting (295), into two cases.
% 17.32/4.48 |-Branch one:
% 17.32/4.48 | (330) ~ r2_hidden(all_226_3_53, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 | Using (279) and (330) yields:
% 17.32/4.48 | (270) $false
% 17.32/4.48 |
% 17.32/4.48 |-The branch is then unsatisfiable
% 17.32/4.48 |-Branch two:
% 17.32/4.48 | (279) r2_hidden(all_226_3_53, all_0_12_12)
% 17.32/4.48 | (333) r2_hidden(all_238_0_54, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 +-Applying beta-rule and splitting (299), into two cases.
% 17.32/4.48 |-Branch one:
% 17.32/4.48 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 | Using (280) and (334) yields:
% 17.32/4.48 | (270) $false
% 17.32/4.48 |
% 17.32/4.48 |-The branch is then unsatisfiable
% 17.32/4.48 |-Branch two:
% 17.32/4.48 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.48 | (337) r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 +-Applying beta-rule and splitting (321), into two cases.
% 17.32/4.48 |-Branch one:
% 17.32/4.48 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 | Using (280) and (334) yields:
% 17.32/4.48 | (270) $false
% 17.32/4.48 |
% 17.32/4.48 |-The branch is then unsatisfiable
% 17.32/4.48 |-Branch two:
% 17.32/4.48 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.48 | (341) ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_252_0_63, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 +-Applying beta-rule and splitting (341), into two cases.
% 17.32/4.48 |-Branch one:
% 17.32/4.48 | (330) ~ r2_hidden(all_226_3_53, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 | Using (279) and (330) yields:
% 17.32/4.48 | (270) $false
% 17.32/4.48 |
% 17.32/4.48 |-The branch is then unsatisfiable
% 17.32/4.48 |-Branch two:
% 17.32/4.48 | (279) r2_hidden(all_226_3_53, all_0_12_12)
% 17.32/4.48 | (345) r2_hidden(all_252_0_63, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 +-Applying beta-rule and splitting (317), into two cases.
% 17.32/4.48 |-Branch one:
% 17.32/4.48 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 | Using (280) and (334) yields:
% 17.32/4.48 | (270) $false
% 17.32/4.48 |
% 17.32/4.48 |-The branch is then unsatisfiable
% 17.32/4.48 |-Branch two:
% 17.32/4.48 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.48 | (349) ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_250_0_62, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 +-Applying beta-rule and splitting (349), into two cases.
% 17.32/4.48 |-Branch one:
% 17.32/4.48 | (330) ~ r2_hidden(all_226_3_53, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 | Using (279) and (330) yields:
% 17.32/4.48 | (270) $false
% 17.32/4.48 |
% 17.32/4.48 |-The branch is then unsatisfiable
% 17.32/4.48 |-Branch two:
% 17.32/4.48 | (279) r2_hidden(all_226_3_53, all_0_12_12)
% 17.32/4.48 | (353) r2_hidden(all_250_0_62, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 | Instantiating formula (56) with all_0_15_15, all_226_2_52, all_226_3_53, all_252_0_63, all_256_0_66 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_256_0_66, k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_252_0_63, yields:
% 17.32/4.48 | (354) all_256_0_66 = all_252_0_63
% 17.32/4.48 |
% 17.32/4.48 | Instantiating formula (56) with all_0_15_15, all_226_3_53, all_226_2_52, all_250_0_62, all_226_1_51 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_250_0_62, k4_lattices(all_0_15_15, all_226_3_53, all_226_2_52) = all_226_1_51, yields:
% 17.32/4.48 | (355) all_250_0_62 = all_226_1_51
% 17.32/4.48 |
% 17.32/4.48 | Instantiating formula (55) with all_0_15_15, all_248_1_61, all_0_14_14 and discharging atoms u1_struct_0(all_0_15_15) = all_248_1_61, u1_struct_0(all_0_15_15) = all_0_14_14, yields:
% 17.32/4.48 | (356) all_248_1_61 = all_0_14_14
% 17.32/4.48 |
% 17.32/4.48 | Instantiating formula (55) with all_0_15_15, all_248_1_61, all_256_1_67 and discharging atoms u1_struct_0(all_0_15_15) = all_256_1_67, u1_struct_0(all_0_15_15) = all_248_1_61, yields:
% 17.32/4.48 | (357) all_256_1_67 = all_248_1_61
% 17.32/4.48 |
% 17.32/4.48 | Instantiating formula (55) with all_0_15_15, all_248_1_61, all_254_1_65 and discharging atoms u1_struct_0(all_0_15_15) = all_254_1_65, u1_struct_0(all_0_15_15) = all_248_1_61, yields:
% 17.32/4.48 | (358) all_254_1_65 = all_248_1_61
% 17.32/4.48 |
% 17.32/4.48 | Instantiating formula (55) with all_0_15_15, all_246_0_59, all_254_1_65 and discharging atoms u1_struct_0(all_0_15_15) = all_254_1_65, u1_struct_0(all_0_15_15) = all_246_0_59, yields:
% 17.32/4.48 | (359) all_254_1_65 = all_246_0_59
% 17.32/4.48 |
% 17.32/4.48 | Instantiating formula (55) with all_0_15_15, all_244_0_58, all_256_1_67 and discharging atoms u1_struct_0(all_0_15_15) = all_256_1_67, u1_struct_0(all_0_15_15) = all_244_0_58, yields:
% 17.32/4.48 | (360) all_256_1_67 = all_244_0_58
% 17.32/4.48 |
% 17.32/4.48 | Instantiating formula (55) with all_0_15_15, all_242_1_57, all_254_1_65 and discharging atoms u1_struct_0(all_0_15_15) = all_254_1_65, u1_struct_0(all_0_15_15) = all_242_1_57, yields:
% 17.32/4.48 | (361) all_254_1_65 = all_242_1_57
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (357,360) yields a new equation:
% 17.32/4.48 | (362) all_248_1_61 = all_244_0_58
% 17.32/4.48 |
% 17.32/4.48 | Simplifying 362 yields:
% 17.32/4.48 | (363) all_248_1_61 = all_244_0_58
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (358,359) yields a new equation:
% 17.32/4.48 | (364) all_248_1_61 = all_246_0_59
% 17.32/4.48 |
% 17.32/4.48 | Simplifying 364 yields:
% 17.32/4.48 | (365) all_248_1_61 = all_246_0_59
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (361,359) yields a new equation:
% 17.32/4.48 | (366) all_246_0_59 = all_242_1_57
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (356,363) yields a new equation:
% 17.32/4.48 | (367) all_244_0_58 = all_0_14_14
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (365,363) yields a new equation:
% 17.32/4.48 | (368) all_246_0_59 = all_244_0_58
% 17.32/4.48 |
% 17.32/4.48 | Simplifying 368 yields:
% 17.32/4.48 | (369) all_246_0_59 = all_244_0_58
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (369,366) yields a new equation:
% 17.32/4.48 | (370) all_244_0_58 = all_242_1_57
% 17.32/4.48 |
% 17.32/4.48 | Simplifying 370 yields:
% 17.32/4.48 | (371) all_244_0_58 = all_242_1_57
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (371,367) yields a new equation:
% 17.32/4.48 | (372) all_242_1_57 = all_0_14_14
% 17.32/4.48 |
% 17.32/4.48 | Simplifying 372 yields:
% 17.32/4.48 | (373) all_242_1_57 = all_0_14_14
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (373,366) yields a new equation:
% 17.32/4.48 | (374) all_246_0_59 = all_0_14_14
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (367,363) yields a new equation:
% 17.32/4.48 | (356) all_248_1_61 = all_0_14_14
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (374,359) yields a new equation:
% 17.32/4.48 | (376) all_254_1_65 = all_0_14_14
% 17.32/4.48 |
% 17.32/4.48 | Combining equations (367,360) yields a new equation:
% 17.32/4.48 | (377) all_256_1_67 = all_0_14_14
% 17.32/4.48 |
% 17.32/4.48 | From (354) and (327) follows:
% 17.32/4.48 | (319) k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_252_0_63
% 17.32/4.48 |
% 17.32/4.48 | From (373) and (301) follows:
% 17.32/4.48 | (37) u1_struct_0(all_0_15_15) = all_0_14_14
% 17.32/4.48 |
% 17.32/4.48 | From (355) and (353) follows:
% 17.32/4.48 | (380) r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.48 |
% 17.32/4.48 +-Applying beta-rule and splitting (303), into two cases.
% 17.32/4.48 |-Branch one:
% 17.32/4.48 | (381) ~ m1_subset_1(all_226_2_52, all_242_1_57)
% 17.32/4.49 |
% 17.32/4.49 | From (373) and (381) follows:
% 17.32/4.49 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (276) and (382) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (384) m1_subset_1(all_226_2_52, all_242_1_57)
% 17.32/4.49 | (385) all_242_0_56 = all_226_0_50 | ~ m1_subset_1(all_226_3_53, all_242_1_57)
% 17.32/4.49 |
% 17.32/4.49 | From (373) and (384) follows:
% 17.32/4.49 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (385), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (387) ~ m1_subset_1(all_226_3_53, all_242_1_57)
% 17.32/4.49 |
% 17.32/4.49 | From (373) and (387) follows:
% 17.32/4.49 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (275) and (388) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (390) m1_subset_1(all_226_3_53, all_242_1_57)
% 17.32/4.49 | (391) all_242_0_56 = all_226_0_50
% 17.32/4.49 |
% 17.32/4.49 | From (391) and (302) follows:
% 17.32/4.49 | (392) k3_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_226_0_50
% 17.32/4.49 |
% 17.32/4.49 | From (373) and (390) follows:
% 17.32/4.49 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (278), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (394) ~ r2_hidden(all_226_0_50, all_0_12_12)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (325), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (395) ~ m1_subset_1(all_226_2_52, all_254_1_65)
% 17.32/4.49 |
% 17.32/4.49 | From (376) and (395) follows:
% 17.32/4.49 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (276) and (382) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (398) m1_subset_1(all_226_2_52, all_254_1_65)
% 17.32/4.49 | (399) all_254_0_64 = all_226_1_51 | ~ m1_subset_1(all_226_3_53, all_254_1_65)
% 17.32/4.49 |
% 17.32/4.49 | From (376) and (398) follows:
% 17.32/4.49 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (329), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (401) ~ m1_subset_1(all_226_2_52, all_256_1_67)
% 17.32/4.49 |
% 17.32/4.49 | From (377) and (401) follows:
% 17.32/4.49 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (276) and (382) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (404) m1_subset_1(all_226_2_52, all_256_1_67)
% 17.32/4.49 | (405) all_256_0_66 = all_226_1_51 | ~ m1_subset_1(all_226_3_53, all_256_1_67)
% 17.32/4.49 |
% 17.32/4.49 | From (377) and (404) follows:
% 17.32/4.49 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (306), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (407) ~ m1_subset_1(all_226_2_52, all_244_0_58)
% 17.32/4.49 |
% 17.32/4.49 | From (367) and (407) follows:
% 17.32/4.49 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (276) and (382) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (410) m1_subset_1(all_226_2_52, all_244_0_58)
% 17.32/4.49 | (411) ~ m1_subset_1(all_226_3_53, all_244_0_58) | m1_subset_1(all_226_1_51, all_244_0_58)
% 17.32/4.49 |
% 17.32/4.49 | From (367) and (410) follows:
% 17.32/4.49 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (405), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (413) ~ m1_subset_1(all_226_3_53, all_256_1_67)
% 17.32/4.49 |
% 17.32/4.49 | From (377) and (413) follows:
% 17.32/4.49 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (275) and (388) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (416) m1_subset_1(all_226_3_53, all_256_1_67)
% 17.32/4.49 | (417) all_256_0_66 = all_226_1_51
% 17.32/4.49 |
% 17.32/4.49 | Combining equations (417,354) yields a new equation:
% 17.32/4.49 | (418) all_252_0_63 = all_226_1_51
% 17.32/4.49 |
% 17.32/4.49 | From (418) and (319) follows:
% 17.32/4.49 | (419) k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_226_1_51
% 17.32/4.49 |
% 17.32/4.49 | From (418) and (345) follows:
% 17.32/4.49 | (380) r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.49 |
% 17.32/4.49 | From (377) and (416) follows:
% 17.32/4.49 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (309), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (422) ~ m1_subset_1(all_226_2_52, all_246_0_59)
% 17.32/4.49 |
% 17.32/4.49 | From (374) and (422) follows:
% 17.32/4.49 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (276) and (382) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (425) m1_subset_1(all_226_2_52, all_246_0_59)
% 17.32/4.49 | (426) ~ m1_subset_1(all_226_3_53, all_246_0_59) | m1_subset_1(all_226_0_50, all_246_0_59)
% 17.32/4.49 |
% 17.32/4.49 | From (374) and (425) follows:
% 17.32/4.49 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (426), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (428) ~ m1_subset_1(all_226_3_53, all_246_0_59)
% 17.32/4.49 |
% 17.32/4.49 | From (374) and (428) follows:
% 17.32/4.49 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (275) and (388) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (431) m1_subset_1(all_226_3_53, all_246_0_59)
% 17.32/4.49 | (432) m1_subset_1(all_226_0_50, all_246_0_59)
% 17.32/4.49 |
% 17.32/4.49 | From (374) and (432) follows:
% 17.32/4.49 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | From (374) and (431) follows:
% 17.32/4.49 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (399), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (435) ~ m1_subset_1(all_226_3_53, all_254_1_65)
% 17.32/4.49 |
% 17.32/4.49 | From (376) and (435) follows:
% 17.32/4.49 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (275) and (388) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (438) m1_subset_1(all_226_3_53, all_254_1_65)
% 17.32/4.49 | (439) all_254_0_64 = all_226_1_51
% 17.32/4.49 |
% 17.32/4.49 | From (376) and (438) follows:
% 17.32/4.49 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (313), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (441) ~ m1_subset_1(all_226_2_52, all_248_1_61)
% 17.32/4.49 |
% 17.32/4.49 | From (356) and (441) follows:
% 17.32/4.49 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (276) and (382) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (444) m1_subset_1(all_226_2_52, all_248_1_61)
% 17.32/4.49 | (445) all_248_0_60 = all_226_0_50 | ~ m1_subset_1(all_226_3_53, all_248_1_61)
% 17.32/4.49 |
% 17.32/4.49 | From (356) and (444) follows:
% 17.32/4.49 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 +-Applying beta-rule and splitting (411), into two cases.
% 17.32/4.49 |-Branch one:
% 17.32/4.49 | (447) ~ m1_subset_1(all_226_3_53, all_244_0_58)
% 17.32/4.49 |
% 17.32/4.49 | From (367) and (447) follows:
% 17.32/4.49 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.49 |
% 17.32/4.49 | Using (275) and (388) yields:
% 17.32/4.49 | (270) $false
% 17.32/4.49 |
% 17.32/4.49 |-The branch is then unsatisfiable
% 17.32/4.49 |-Branch two:
% 17.32/4.49 | (450) m1_subset_1(all_226_3_53, all_244_0_58)
% 17.32/4.50 | (451) m1_subset_1(all_226_1_51, all_244_0_58)
% 17.32/4.50 |
% 17.32/4.50 | From (367) and (451) follows:
% 17.32/4.50 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.32/4.50 |
% 17.32/4.50 | From (367) and (450) follows:
% 17.32/4.50 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.50 |
% 17.32/4.50 +-Applying beta-rule and splitting (445), into two cases.
% 17.32/4.50 |-Branch one:
% 17.32/4.50 | (454) ~ m1_subset_1(all_226_3_53, all_248_1_61)
% 17.32/4.50 |
% 17.32/4.50 | From (356) and (454) follows:
% 17.32/4.50 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.50 |
% 17.32/4.50 | Using (275) and (388) yields:
% 17.32/4.50 | (270) $false
% 17.32/4.50 |
% 17.32/4.50 |-The branch is then unsatisfiable
% 17.32/4.50 |-Branch two:
% 17.32/4.50 | (457) m1_subset_1(all_226_3_53, all_248_1_61)
% 17.32/4.50 | (458) all_248_0_60 = all_226_0_50
% 17.32/4.50 |
% 17.32/4.50 | From (356) and (457) follows:
% 17.32/4.50 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (51) with all_240_0_55, all_226_2_52, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_2_52) = all_240_0_55, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.50 | (460) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_2_52, all_226_2_52) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_240_0_55 | ~ m1_subset_1(all_226_2_52, v0)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (84) with all_240_0_55, all_226_2_52, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_2_52) = all_240_0_55, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.50 | (461) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_2_52, v0) | m1_subset_1(all_240_0_55, v0)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (51) with all_226_1_51, all_226_3_53, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_226_1_51, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.50 | (462) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_226_1_51 | ~ m1_subset_1(all_226_2_52, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (51) with all_238_0_54, all_226_3_53, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_3_53) = all_238_0_54, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.50 | (463) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_3_53, all_226_3_53) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_238_0_54 | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (84) with all_238_0_54, all_226_3_53, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_3_53) = all_238_0_54, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.50 | (464) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_3_53, v0) | m1_subset_1(all_238_0_54, v0)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (54) with all_226_0_50, all_226_3_53, all_226_2_52, all_0_15_15 and discharging atoms k3_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_226_0_50, l2_lattices(all_0_15_15), v4_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.50 | (465) ? [v0] : ? [v1] : (k1_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_226_0_50 | ~ m1_subset_1(all_226_2_52, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (127) with all_0_13_13, all_0_14_14, all_0_12_12, all_240_0_55 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_0_13_13, r2_hidden(all_240_0_55, all_0_12_12), m1_subset_1(all_0_12_12, all_0_13_13), yields:
% 17.32/4.50 | (466) m1_subset_1(all_240_0_55, all_0_14_14)
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (127) with all_0_13_13, all_0_14_14, all_0_12_12, all_238_0_54 and discharging atoms k1_zfmisc_1(all_0_14_14) = all_0_13_13, r2_hidden(all_238_0_54, all_0_12_12), m1_subset_1(all_0_12_12, all_0_13_13), yields:
% 17.32/4.50 | (467) m1_subset_1(all_238_0_54, all_0_14_14)
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_0_50, all_226_2_52 and discharging atoms m1_subset_1(all_226_0_50, all_0_14_14), m1_subset_1(all_226_2_52, all_0_14_14), yields:
% 17.32/4.50 | (468) ? [v0] : (k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_2_52, all_226_0_50 and discharging atoms m1_subset_1(all_226_0_50, all_0_14_14), m1_subset_1(all_226_2_52, all_0_14_14), yields:
% 17.32/4.50 | (469) ? [v0] : (k4_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_0_50, all_226_3_53 and discharging atoms m1_subset_1(all_226_0_50, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.32/4.50 | (470) ? [v0] : (k4_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_3_53, all_226_0_50 and discharging atoms m1_subset_1(all_226_0_50, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.32/4.50 | (471) ? [v0] : (k4_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_0_50, all_226_0_50 and discharging atoms m1_subset_1(all_226_0_50, all_0_14_14), yields:
% 17.32/4.50 | (472) ? [v0] : (k4_lattices(all_0_15_15, all_226_0_50, all_226_0_50) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | r2_hidden(all_226_0_50, all_0_12_12)) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_1_51, all_226_2_52 and discharging atoms m1_subset_1(all_226_1_51, all_0_14_14), m1_subset_1(all_226_2_52, all_0_14_14), yields:
% 17.32/4.50 | (473) ? [v0] : (k4_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_2_52, all_226_1_51 and discharging atoms m1_subset_1(all_226_1_51, all_0_14_14), m1_subset_1(all_226_2_52, all_0_14_14), yields:
% 17.32/4.50 | (474) ? [v0] : (k4_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_1_51, all_226_3_53 and discharging atoms m1_subset_1(all_226_1_51, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.32/4.50 | (475) ? [v0] : (k4_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_3_53, all_226_1_51 and discharging atoms m1_subset_1(all_226_1_51, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.32/4.50 | (476) ? [v0] : (k4_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_1_51, all_226_0_50 and discharging atoms m1_subset_1(all_226_0_50, all_0_14_14), m1_subset_1(all_226_1_51, all_0_14_14), yields:
% 17.32/4.50 | (477) ? [v0] : (k4_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_0_50, all_226_1_51 and discharging atoms m1_subset_1(all_226_0_50, all_0_14_14), m1_subset_1(all_226_1_51, all_0_14_14), yields:
% 17.32/4.50 | (478) ? [v0] : (k4_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating formula (47) with all_226_1_51, all_226_1_51 and discharging atoms m1_subset_1(all_226_1_51, all_0_14_14), yields:
% 17.32/4.50 | (479) ? [v0] : (k4_lattices(all_0_15_15, all_226_1_51, all_226_1_51) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | r2_hidden(all_226_1_51, all_0_12_12)) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.50 |
% 17.32/4.50 | Instantiating (473) with all_344_0_68 yields:
% 17.32/4.50 | (480) k4_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = all_344_0_68 & ( ~ r2_hidden(all_344_0_68, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_344_0_68, all_0_12_12))
% 17.32/4.50 |
% 17.32/4.50 | Applying alpha-rule on (480) yields:
% 17.32/4.50 | (481) k4_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = all_344_0_68
% 17.32/4.50 | (482) ~ r2_hidden(all_344_0_68, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))
% 17.32/4.50 | (483) ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_344_0_68, all_0_12_12)
% 17.32/4.50 |
% 17.32/4.50 | Instantiating (479) with all_346_0_69 yields:
% 17.32/4.50 | (484) k4_lattices(all_0_15_15, all_226_1_51, all_226_1_51) = all_346_0_69 & ( ~ r2_hidden(all_346_0_69, all_0_12_12) | r2_hidden(all_226_1_51, all_0_12_12)) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_346_0_69, all_0_12_12))
% 17.32/4.50 |
% 17.32/4.50 | Applying alpha-rule on (484) yields:
% 17.32/4.50 | (485) k4_lattices(all_0_15_15, all_226_1_51, all_226_1_51) = all_346_0_69
% 17.32/4.50 | (486) ~ r2_hidden(all_346_0_69, all_0_12_12) | r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.50 | (487) ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_346_0_69, all_0_12_12)
% 17.32/4.50 |
% 17.32/4.50 | Instantiating (478) with all_348_0_70 yields:
% 17.32/4.50 | (488) k4_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = all_348_0_70 & ( ~ r2_hidden(all_348_0_70, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_348_0_70, all_0_12_12))
% 17.32/4.50 |
% 17.32/4.50 | Applying alpha-rule on (488) yields:
% 17.32/4.50 | (489) k4_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = all_348_0_70
% 17.32/4.50 | (490) ~ r2_hidden(all_348_0_70, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))
% 17.32/4.50 | (491) ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_348_0_70, all_0_12_12)
% 17.32/4.50 |
% 17.32/4.51 | Instantiating (465) with all_350_0_71, all_350_1_72 yields:
% 17.32/4.51 | (492) k1_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_350_0_71 & u1_struct_0(all_0_15_15) = all_350_1_72 & (all_350_0_71 = all_226_0_50 | ~ m1_subset_1(all_226_2_52, all_350_1_72) | ~ m1_subset_1(all_226_3_53, all_350_1_72))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (492) yields:
% 17.32/4.51 | (493) k1_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_350_0_71
% 17.32/4.51 | (494) u1_struct_0(all_0_15_15) = all_350_1_72
% 17.32/4.51 | (495) all_350_0_71 = all_226_0_50 | ~ m1_subset_1(all_226_2_52, all_350_1_72) | ~ m1_subset_1(all_226_3_53, all_350_1_72)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (475) with all_352_0_73 yields:
% 17.32/4.51 | (496) k4_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = all_352_0_73 & ( ~ r2_hidden(all_352_0_73, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_352_0_73, all_0_12_12))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (496) yields:
% 17.32/4.51 | (497) k4_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = all_352_0_73
% 17.32/4.51 | (498) ~ r2_hidden(all_352_0_73, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))
% 17.32/4.51 | (499) ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_352_0_73, all_0_12_12)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (474) with all_354_0_74 yields:
% 17.32/4.51 | (500) k4_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = all_354_0_74 & ( ~ r2_hidden(all_354_0_74, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_354_0_74, all_0_12_12))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (500) yields:
% 17.32/4.51 | (501) k4_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = all_354_0_74
% 17.32/4.51 | (502) ~ r2_hidden(all_354_0_74, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))
% 17.32/4.51 | (503) ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_354_0_74, all_0_12_12)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (464) with all_356_0_75 yields:
% 17.32/4.51 | (504) u1_struct_0(all_0_15_15) = all_356_0_75 & ( ~ m1_subset_1(all_226_3_53, all_356_0_75) | m1_subset_1(all_238_0_54, all_356_0_75))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (504) yields:
% 17.32/4.51 | (505) u1_struct_0(all_0_15_15) = all_356_0_75
% 17.32/4.51 | (506) ~ m1_subset_1(all_226_3_53, all_356_0_75) | m1_subset_1(all_238_0_54, all_356_0_75)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (477) with all_358_0_76 yields:
% 17.32/4.51 | (507) k4_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = all_358_0_76 & ( ~ r2_hidden(all_358_0_76, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_358_0_76, all_0_12_12))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (507) yields:
% 17.32/4.51 | (508) k4_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = all_358_0_76
% 17.32/4.51 | (509) ~ r2_hidden(all_358_0_76, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))
% 17.32/4.51 | (510) ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_358_0_76, all_0_12_12)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (476) with all_360_0_77 yields:
% 17.32/4.51 | (511) k4_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = all_360_0_77 & ( ~ r2_hidden(all_360_0_77, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_360_0_77, all_0_12_12))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (511) yields:
% 17.32/4.51 | (512) k4_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = all_360_0_77
% 17.32/4.51 | (513) ~ r2_hidden(all_360_0_77, all_0_12_12) | (r2_hidden(all_226_1_51, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))
% 17.32/4.51 | (514) ~ r2_hidden(all_226_1_51, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_360_0_77, all_0_12_12)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (472) with all_362_0_78 yields:
% 17.32/4.51 | (515) k4_lattices(all_0_15_15, all_226_0_50, all_226_0_50) = all_362_0_78 & ( ~ r2_hidden(all_362_0_78, all_0_12_12) | r2_hidden(all_226_0_50, all_0_12_12)) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | r2_hidden(all_362_0_78, all_0_12_12))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (515) yields:
% 17.32/4.51 | (516) k4_lattices(all_0_15_15, all_226_0_50, all_226_0_50) = all_362_0_78
% 17.32/4.51 | (517) ~ r2_hidden(all_362_0_78, all_0_12_12) | r2_hidden(all_226_0_50, all_0_12_12)
% 17.32/4.51 | (518) ~ r2_hidden(all_226_0_50, all_0_12_12) | r2_hidden(all_362_0_78, all_0_12_12)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (470) with all_364_0_79 yields:
% 17.32/4.51 | (519) k4_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = all_364_0_79 & ( ~ r2_hidden(all_364_0_79, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_364_0_79, all_0_12_12))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (519) yields:
% 17.32/4.51 | (520) k4_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = all_364_0_79
% 17.32/4.51 | (521) ~ r2_hidden(all_364_0_79, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))
% 17.32/4.51 | (522) ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_364_0_79, all_0_12_12)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (469) with all_366_0_80 yields:
% 17.32/4.51 | (523) k4_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = all_366_0_80 & ( ~ r2_hidden(all_366_0_80, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_366_0_80, all_0_12_12))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (523) yields:
% 17.32/4.51 | (524) k4_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = all_366_0_80
% 17.32/4.51 | (525) ~ r2_hidden(all_366_0_80, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))
% 17.32/4.51 | (526) ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_366_0_80, all_0_12_12)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (471) with all_368_0_81 yields:
% 17.32/4.51 | (527) k4_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = all_368_0_81 & ( ~ r2_hidden(all_368_0_81, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_368_0_81, all_0_12_12))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (527) yields:
% 17.32/4.51 | (528) k4_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = all_368_0_81
% 17.32/4.51 | (529) ~ r2_hidden(all_368_0_81, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))
% 17.32/4.51 | (530) ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_368_0_81, all_0_12_12)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (468) with all_370_0_82 yields:
% 17.32/4.51 | (531) k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_370_0_82 & ( ~ r2_hidden(all_370_0_82, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_370_0_82, all_0_12_12))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (531) yields:
% 17.32/4.51 | (532) k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_370_0_82
% 17.32/4.51 | (533) ~ r2_hidden(all_370_0_82, all_0_12_12) | (r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))
% 17.32/4.51 | (534) ~ r2_hidden(all_226_0_50, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_370_0_82, all_0_12_12)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (463) with all_372_0_83, all_372_1_84 yields:
% 17.32/4.51 | (535) k2_lattices(all_0_15_15, all_226_3_53, all_226_3_53) = all_372_0_83 & u1_struct_0(all_0_15_15) = all_372_1_84 & (all_372_0_83 = all_238_0_54 | ~ m1_subset_1(all_226_3_53, all_372_1_84))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (535) yields:
% 17.32/4.51 | (536) k2_lattices(all_0_15_15, all_226_3_53, all_226_3_53) = all_372_0_83
% 17.32/4.51 | (537) u1_struct_0(all_0_15_15) = all_372_1_84
% 17.32/4.51 | (538) all_372_0_83 = all_238_0_54 | ~ m1_subset_1(all_226_3_53, all_372_1_84)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (462) with all_374_0_85, all_374_1_86 yields:
% 17.32/4.51 | (539) k2_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_374_0_85 & u1_struct_0(all_0_15_15) = all_374_1_86 & (all_374_0_85 = all_226_1_51 | ~ m1_subset_1(all_226_2_52, all_374_1_86) | ~ m1_subset_1(all_226_3_53, all_374_1_86))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (539) yields:
% 17.32/4.51 | (540) k2_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_374_0_85
% 17.32/4.51 | (541) u1_struct_0(all_0_15_15) = all_374_1_86
% 17.32/4.51 | (542) all_374_0_85 = all_226_1_51 | ~ m1_subset_1(all_226_2_52, all_374_1_86) | ~ m1_subset_1(all_226_3_53, all_374_1_86)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (461) with all_376_0_87 yields:
% 17.32/4.51 | (543) u1_struct_0(all_0_15_15) = all_376_0_87 & ( ~ m1_subset_1(all_226_2_52, all_376_0_87) | m1_subset_1(all_240_0_55, all_376_0_87))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (543) yields:
% 17.32/4.51 | (544) u1_struct_0(all_0_15_15) = all_376_0_87
% 17.32/4.51 | (545) ~ m1_subset_1(all_226_2_52, all_376_0_87) | m1_subset_1(all_240_0_55, all_376_0_87)
% 17.32/4.51 |
% 17.32/4.51 | Instantiating (460) with all_378_0_88, all_378_1_89 yields:
% 17.32/4.51 | (546) k2_lattices(all_0_15_15, all_226_2_52, all_226_2_52) = all_378_0_88 & u1_struct_0(all_0_15_15) = all_378_1_89 & (all_378_0_88 = all_240_0_55 | ~ m1_subset_1(all_226_2_52, all_378_1_89))
% 17.32/4.51 |
% 17.32/4.51 | Applying alpha-rule on (546) yields:
% 17.32/4.51 | (547) k2_lattices(all_0_15_15, all_226_2_52, all_226_2_52) = all_378_0_88
% 17.32/4.51 | (548) u1_struct_0(all_0_15_15) = all_378_1_89
% 17.32/4.51 | (549) all_378_0_88 = all_240_0_55 | ~ m1_subset_1(all_226_2_52, all_378_1_89)
% 17.32/4.51 |
% 17.32/4.51 +-Applying beta-rule and splitting (514), into two cases.
% 17.32/4.51 |-Branch one:
% 17.32/4.51 | (550) ~ r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 | Using (380) and (550) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (380) r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 | (553) ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_360_0_77, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (483), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (550) ~ r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 | Using (380) and (550) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (380) r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 | (557) ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_344_0_68, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (557), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 | Using (280) and (334) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.52 | (561) r2_hidden(all_344_0_68, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (487), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (550) ~ r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 | Using (380) and (550) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (380) r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 | (565) r2_hidden(all_346_0_69, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (499), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (550) ~ r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 | Using (380) and (550) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (380) r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 | (569) ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_352_0_73, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (503), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (550) ~ r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 | Using (380) and (550) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (380) r2_hidden(all_226_1_51, all_0_12_12)
% 17.32/4.52 | (573) ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_354_0_74, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (533), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (574) ~ r2_hidden(all_370_0_82, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (573), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 | Using (280) and (334) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.52 | (578) r2_hidden(all_354_0_74, all_0_12_12)
% 17.32/4.52 |
% 17.32/4.52 | Instantiating formula (55) with all_0_15_15, all_374_1_86, all_378_1_89 and discharging atoms u1_struct_0(all_0_15_15) = all_378_1_89, u1_struct_0(all_0_15_15) = all_374_1_86, yields:
% 17.32/4.52 | (579) all_378_1_89 = all_374_1_86
% 17.32/4.52 |
% 17.32/4.52 | Instantiating formula (55) with all_0_15_15, all_374_1_86, all_376_0_87 and discharging atoms u1_struct_0(all_0_15_15) = all_376_0_87, u1_struct_0(all_0_15_15) = all_374_1_86, yields:
% 17.32/4.52 | (580) all_376_0_87 = all_374_1_86
% 17.32/4.52 |
% 17.32/4.52 | Instantiating formula (55) with all_0_15_15, all_372_1_84, all_0_14_14 and discharging atoms u1_struct_0(all_0_15_15) = all_372_1_84, u1_struct_0(all_0_15_15) = all_0_14_14, yields:
% 17.32/4.52 | (581) all_372_1_84 = all_0_14_14
% 17.32/4.52 |
% 17.32/4.52 | Instantiating formula (55) with all_0_15_15, all_372_1_84, all_376_0_87 and discharging atoms u1_struct_0(all_0_15_15) = all_376_0_87, u1_struct_0(all_0_15_15) = all_372_1_84, yields:
% 17.32/4.52 | (582) all_376_0_87 = all_372_1_84
% 17.32/4.52 |
% 17.32/4.52 | Instantiating formula (55) with all_0_15_15, all_356_0_75, all_376_0_87 and discharging atoms u1_struct_0(all_0_15_15) = all_376_0_87, u1_struct_0(all_0_15_15) = all_356_0_75, yields:
% 17.32/4.52 | (583) all_376_0_87 = all_356_0_75
% 17.32/4.52 |
% 17.32/4.52 | Instantiating formula (55) with all_0_15_15, all_350_1_72, all_378_1_89 and discharging atoms u1_struct_0(all_0_15_15) = all_378_1_89, u1_struct_0(all_0_15_15) = all_350_1_72, yields:
% 17.32/4.52 | (584) all_378_1_89 = all_350_1_72
% 17.32/4.52 |
% 17.32/4.52 | Combining equations (579,584) yields a new equation:
% 17.32/4.52 | (585) all_374_1_86 = all_350_1_72
% 17.32/4.52 |
% 17.32/4.52 | Simplifying 585 yields:
% 17.32/4.52 | (586) all_374_1_86 = all_350_1_72
% 17.32/4.52 |
% 17.32/4.52 | Combining equations (580,583) yields a new equation:
% 17.32/4.52 | (587) all_374_1_86 = all_356_0_75
% 17.32/4.52 |
% 17.32/4.52 | Simplifying 587 yields:
% 17.32/4.52 | (588) all_374_1_86 = all_356_0_75
% 17.32/4.52 |
% 17.32/4.52 | Combining equations (582,583) yields a new equation:
% 17.32/4.52 | (589) all_372_1_84 = all_356_0_75
% 17.32/4.52 |
% 17.32/4.52 | Simplifying 589 yields:
% 17.32/4.52 | (590) all_372_1_84 = all_356_0_75
% 17.32/4.52 |
% 17.32/4.52 | Combining equations (588,586) yields a new equation:
% 17.32/4.52 | (591) all_356_0_75 = all_350_1_72
% 17.32/4.52 |
% 17.32/4.52 | Simplifying 591 yields:
% 17.32/4.52 | (592) all_356_0_75 = all_350_1_72
% 17.32/4.52 |
% 17.32/4.52 | Combining equations (590,581) yields a new equation:
% 17.32/4.52 | (593) all_356_0_75 = all_0_14_14
% 17.32/4.52 |
% 17.32/4.52 | Simplifying 593 yields:
% 17.32/4.52 | (594) all_356_0_75 = all_0_14_14
% 17.32/4.52 |
% 17.32/4.52 | Combining equations (594,592) yields a new equation:
% 17.32/4.52 | (595) all_350_1_72 = all_0_14_14
% 17.32/4.52 |
% 17.32/4.52 | Combining equations (595,586) yields a new equation:
% 17.32/4.52 | (596) all_374_1_86 = all_0_14_14
% 17.32/4.52 |
% 17.32/4.52 | Combining equations (595,584) yields a new equation:
% 17.32/4.52 | (597) all_378_1_89 = all_0_14_14
% 17.32/4.52 |
% 17.32/4.52 | From (595) and (494) follows:
% 17.32/4.52 | (37) u1_struct_0(all_0_15_15) = all_0_14_14
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (549), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (599) ~ m1_subset_1(all_226_2_52, all_378_1_89)
% 17.32/4.52 |
% 17.32/4.52 | From (597) and (599) follows:
% 17.32/4.52 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.52 |
% 17.32/4.52 | Using (276) and (382) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (602) m1_subset_1(all_226_2_52, all_378_1_89)
% 17.32/4.52 | (603) all_378_0_88 = all_240_0_55
% 17.32/4.52 |
% 17.32/4.52 | From (597) and (602) follows:
% 17.32/4.52 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (495), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (605) ~ m1_subset_1(all_226_2_52, all_350_1_72)
% 17.32/4.52 |
% 17.32/4.52 | From (595) and (605) follows:
% 17.32/4.52 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.52 |
% 17.32/4.52 | Using (276) and (382) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (608) m1_subset_1(all_226_2_52, all_350_1_72)
% 17.32/4.52 | (609) all_350_0_71 = all_226_0_50 | ~ m1_subset_1(all_226_3_53, all_350_1_72)
% 17.32/4.52 |
% 17.32/4.52 | From (595) and (608) follows:
% 17.32/4.52 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.52 |
% 17.32/4.52 +-Applying beta-rule and splitting (542), into two cases.
% 17.32/4.52 |-Branch one:
% 17.32/4.52 | (611) ~ m1_subset_1(all_226_2_52, all_374_1_86)
% 17.32/4.52 |
% 17.32/4.52 | From (596) and (611) follows:
% 17.32/4.52 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.52 |
% 17.32/4.52 | Using (276) and (382) yields:
% 17.32/4.52 | (270) $false
% 17.32/4.52 |
% 17.32/4.52 |-The branch is then unsatisfiable
% 17.32/4.52 |-Branch two:
% 17.32/4.52 | (614) m1_subset_1(all_226_2_52, all_374_1_86)
% 17.32/4.52 | (615) all_374_0_85 = all_226_1_51 | ~ m1_subset_1(all_226_3_53, all_374_1_86)
% 17.32/4.52 |
% 17.32/4.52 | From (596) and (614) follows:
% 17.32/4.53 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.32/4.53 |
% 17.32/4.53 +-Applying beta-rule and splitting (538), into two cases.
% 17.32/4.53 |-Branch one:
% 17.32/4.53 | (617) ~ m1_subset_1(all_226_3_53, all_372_1_84)
% 17.32/4.53 |
% 17.32/4.53 | From (581) and (617) follows:
% 17.32/4.53 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.53 |
% 17.32/4.53 | Using (275) and (388) yields:
% 17.32/4.53 | (270) $false
% 17.32/4.53 |
% 17.32/4.53 |-The branch is then unsatisfiable
% 17.32/4.53 |-Branch two:
% 17.32/4.53 | (620) m1_subset_1(all_226_3_53, all_372_1_84)
% 17.32/4.53 | (621) all_372_0_83 = all_238_0_54
% 17.32/4.53 |
% 17.32/4.53 | From (581) and (620) follows:
% 17.32/4.53 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.53 |
% 17.32/4.53 +-Applying beta-rule and splitting (609), into two cases.
% 17.32/4.53 |-Branch one:
% 17.32/4.53 | (623) ~ m1_subset_1(all_226_3_53, all_350_1_72)
% 17.32/4.53 |
% 17.32/4.53 | From (595) and (623) follows:
% 17.32/4.53 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.53 |
% 17.32/4.53 | Using (275) and (388) yields:
% 17.32/4.53 | (270) $false
% 17.32/4.53 |
% 17.32/4.53 |-The branch is then unsatisfiable
% 17.32/4.53 |-Branch two:
% 17.32/4.53 | (626) m1_subset_1(all_226_3_53, all_350_1_72)
% 17.32/4.53 | (627) all_350_0_71 = all_226_0_50
% 17.32/4.53 |
% 17.32/4.53 | From (627) and (493) follows:
% 17.32/4.53 | (628) k1_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_226_0_50
% 17.32/4.53 |
% 17.32/4.53 | From (595) and (626) follows:
% 17.32/4.53 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.53 |
% 17.32/4.53 +-Applying beta-rule and splitting (615), into two cases.
% 17.32/4.53 |-Branch one:
% 17.32/4.53 | (630) ~ m1_subset_1(all_226_3_53, all_374_1_86)
% 17.32/4.53 |
% 17.32/4.53 | From (596) and (630) follows:
% 17.32/4.53 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.53 |
% 17.32/4.53 | Using (275) and (388) yields:
% 17.32/4.53 | (270) $false
% 17.32/4.53 |
% 17.32/4.53 |-The branch is then unsatisfiable
% 17.32/4.53 |-Branch two:
% 17.32/4.53 | (633) m1_subset_1(all_226_3_53, all_374_1_86)
% 17.32/4.53 | (634) all_374_0_85 = all_226_1_51
% 17.32/4.53 |
% 17.32/4.53 | From (596) and (633) follows:
% 17.32/4.53 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (51) with all_362_0_78, all_226_0_50, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_0_50) = all_362_0_78, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (636) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_0_50, all_226_0_50) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_362_0_78 | ~ m1_subset_1(all_226_0_50, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (84) with all_362_0_78, all_226_0_50, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_0_50) = all_362_0_78, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (637) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_0_50, v0) | m1_subset_1(all_362_0_78, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (128) with all_358_0_76, all_226_0_50, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = all_358_0_76, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (638) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_358_0_76 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_1_51, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (51) with all_358_0_76, all_226_1_51, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = all_358_0_76, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (639) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_358_0_76 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_1_51, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (84) with all_358_0_76, all_226_1_51, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = all_358_0_76, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (640) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_1_51, v0) | m1_subset_1(all_358_0_76, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (128) with all_366_0_80, all_226_0_50, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = all_366_0_80, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (641) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_366_0_80 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_2_52, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (51) with all_366_0_80, all_226_2_52, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = all_366_0_80, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (642) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_366_0_80 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_2_52, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (84) with all_366_0_80, all_226_2_52, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = all_366_0_80, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (643) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_2_52, v0) | m1_subset_1(all_366_0_80, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (128) with all_368_0_81, all_226_0_50, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = all_368_0_81, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (644) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_368_0_81 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (51) with all_368_0_81, all_226_3_53, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = all_368_0_81, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (645) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_368_0_81 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (84) with all_368_0_81, all_226_3_53, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = all_368_0_81, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (646) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_3_53, v0) | m1_subset_1(all_368_0_81, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (128) with all_348_0_70, all_226_1_51, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = all_348_0_70, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (647) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_348_0_70 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_1_51, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (51) with all_348_0_70, all_226_0_50, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = all_348_0_70, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (648) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_348_0_70 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_1_51, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (84) with all_348_0_70, all_226_0_50, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = all_348_0_70, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (649) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_1_51, v0) | m1_subset_1(all_348_0_70, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (51) with all_346_0_69, all_226_1_51, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_1_51) = all_346_0_69, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (650) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_1_51, all_226_1_51) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_346_0_69 | ~ m1_subset_1(all_226_1_51, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (84) with all_346_0_69, all_226_1_51, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_1_51) = all_346_0_69, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (651) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_1_51, v0) | m1_subset_1(all_346_0_69, v0)))
% 17.32/4.53 |
% 17.32/4.53 | Instantiating formula (128) with all_354_0_74, all_226_1_51, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = all_354_0_74, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.53 | (652) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_354_0_74 | ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_2_52, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (51) with all_354_0_74, all_226_2_52, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = all_354_0_74, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (653) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_354_0_74 | ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_2_52, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (84) with all_354_0_74, all_226_2_52, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = all_354_0_74, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (654) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_2_52, v0) | m1_subset_1(all_354_0_74, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (128) with all_360_0_77, all_226_1_51, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = all_360_0_77, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (655) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_360_0_77 | ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (51) with all_360_0_77, all_226_3_53, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = all_360_0_77, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (656) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_360_0_77 | ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (84) with all_360_0_77, all_226_3_53, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = all_360_0_77, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (657) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_3_53, v0) | m1_subset_1(all_360_0_77, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (128) with all_370_0_82, all_226_2_52, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_370_0_82, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (658) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_370_0_82 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_2_52, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (51) with all_370_0_82, all_226_0_50, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_370_0_82, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (659) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_370_0_82 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_2_52, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (84) with all_370_0_82, all_226_0_50, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_370_0_82, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (660) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_2_52, v0) | m1_subset_1(all_370_0_82, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (128) with all_344_0_68, all_226_2_52, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = all_344_0_68, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (661) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_344_0_68 | ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_2_52, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (51) with all_344_0_68, all_226_1_51, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = all_344_0_68, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (662) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_344_0_68 | ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_2_52, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (84) with all_344_0_68, all_226_1_51, all_226_2_52, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = all_344_0_68, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (663) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_2_52, v0) | m1_subset_1(all_344_0_68, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (128) with all_364_0_79, all_226_3_53, all_226_0_50, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = all_364_0_79, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (664) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_364_0_79 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (51) with all_364_0_79, all_226_0_50, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = all_364_0_79, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (665) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_364_0_79 | ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (84) with all_364_0_79, all_226_0_50, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = all_364_0_79, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (666) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_0_50, v0) | ~ m1_subset_1(all_226_3_53, v0) | m1_subset_1(all_364_0_79, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (128) with all_352_0_73, all_226_3_53, all_226_1_51, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = all_352_0_73, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (667) ? [v0] : ? [v1] : (k4_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_352_0_73 | ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (51) with all_352_0_73, all_226_1_51, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = all_352_0_73, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (668) ? [v0] : ? [v1] : (k2_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = v1 & u1_struct_0(all_0_15_15) = v0 & (v1 = all_352_0_73 | ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_3_53, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (84) with all_352_0_73, all_226_1_51, all_226_3_53, all_0_15_15 and discharging atoms k4_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = all_352_0_73, l1_lattices(all_0_15_15), v6_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.32/4.54 | (669) ? [v0] : (u1_struct_0(all_0_15_15) = v0 & ( ~ m1_subset_1(all_226_1_51, v0) | ~ m1_subset_1(all_226_3_53, v0) | m1_subset_1(all_352_0_73, v0)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_240_0_55, all_226_1_51 and discharging atoms m1_subset_1(all_240_0_55, all_0_14_14), m1_subset_1(all_226_1_51, all_0_14_14), yields:
% 17.32/4.54 | (670) ? [v0] : (k4_lattices(all_0_15_15, all_226_1_51, all_240_0_55) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_226_1_51, all_240_0_55 and discharging atoms m1_subset_1(all_240_0_55, all_0_14_14), m1_subset_1(all_226_1_51, all_0_14_14), yields:
% 17.32/4.54 | (671) ? [v0] : (k4_lattices(all_0_15_15, all_240_0_55, all_226_1_51) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_240_0_55, all_226_2_52 and discharging atoms m1_subset_1(all_240_0_55, all_0_14_14), m1_subset_1(all_226_2_52, all_0_14_14), yields:
% 17.32/4.54 | (672) ? [v0] : (k4_lattices(all_0_15_15, all_226_2_52, all_240_0_55) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_226_2_52, all_240_0_55 and discharging atoms m1_subset_1(all_240_0_55, all_0_14_14), m1_subset_1(all_226_2_52, all_0_14_14), yields:
% 17.32/4.54 | (673) ? [v0] : (k4_lattices(all_0_15_15, all_240_0_55, all_226_2_52) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_226_3_53, all_240_0_55 and discharging atoms m1_subset_1(all_240_0_55, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.32/4.54 | (674) ? [v0] : (k4_lattices(all_0_15_15, all_240_0_55, all_226_3_53) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_240_0_55, all_240_0_55 and discharging atoms m1_subset_1(all_240_0_55, all_0_14_14), yields:
% 17.32/4.54 | (675) ? [v0] : (k4_lattices(all_0_15_15, all_240_0_55, all_240_0_55) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | r2_hidden(all_240_0_55, all_0_12_12)) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_238_0_54, all_226_1_51 and discharging atoms m1_subset_1(all_238_0_54, all_0_14_14), m1_subset_1(all_226_1_51, all_0_14_14), yields:
% 17.32/4.54 | (676) ? [v0] : (k4_lattices(all_0_15_15, all_226_1_51, all_238_0_54) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_238_0_54, all_226_2_52 and discharging atoms m1_subset_1(all_238_0_54, all_0_14_14), m1_subset_1(all_226_2_52, all_0_14_14), yields:
% 17.32/4.54 | (677) ? [v0] : (k4_lattices(all_0_15_15, all_226_2_52, all_238_0_54) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_226_2_52, all_238_0_54 and discharging atoms m1_subset_1(all_238_0_54, all_0_14_14), m1_subset_1(all_226_2_52, all_0_14_14), yields:
% 17.32/4.54 | (678) ? [v0] : (k4_lattices(all_0_15_15, all_238_0_54, all_226_2_52) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.54 |
% 17.32/4.54 | Instantiating formula (47) with all_238_0_54, all_226_3_53 and discharging atoms m1_subset_1(all_238_0_54, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.32/4.54 | (679) ? [v0] : (k4_lattices(all_0_15_15, all_226_3_53, all_238_0_54) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.55 |
% 17.32/4.55 | Instantiating formula (47) with all_226_3_53, all_238_0_54 and discharging atoms m1_subset_1(all_238_0_54, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), yields:
% 17.32/4.55 | (680) ? [v0] : (k4_lattices(all_0_15_15, all_238_0_54, all_226_3_53) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.55 |
% 17.32/4.55 | Instantiating formula (47) with all_240_0_55, all_238_0_54 and discharging atoms m1_subset_1(all_240_0_55, all_0_14_14), m1_subset_1(all_238_0_54, all_0_14_14), yields:
% 17.32/4.55 | (681) ? [v0] : (k4_lattices(all_0_15_15, all_238_0_54, all_240_0_55) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_238_0_54, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_238_0_54, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.55 |
% 17.32/4.55 | Instantiating formula (47) with all_238_0_54, all_238_0_54 and discharging atoms m1_subset_1(all_238_0_54, all_0_14_14), yields:
% 17.32/4.55 | (682) ? [v0] : (k4_lattices(all_0_15_15, all_238_0_54, all_238_0_54) = v0 & ( ~ r2_hidden(v0, all_0_12_12) | r2_hidden(all_238_0_54, all_0_12_12)) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | r2_hidden(v0, all_0_12_12)))
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (651) with all_508_0_90 yields:
% 17.32/4.55 | (683) u1_struct_0(all_0_15_15) = all_508_0_90 & ( ~ m1_subset_1(all_226_1_51, all_508_0_90) | m1_subset_1(all_346_0_69, all_508_0_90))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (683) yields:
% 17.32/4.55 | (684) u1_struct_0(all_0_15_15) = all_508_0_90
% 17.32/4.55 | (685) ~ m1_subset_1(all_226_1_51, all_508_0_90) | m1_subset_1(all_346_0_69, all_508_0_90)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (650) with all_510_0_91, all_510_1_92 yields:
% 17.32/4.55 | (686) k2_lattices(all_0_15_15, all_226_1_51, all_226_1_51) = all_510_0_91 & u1_struct_0(all_0_15_15) = all_510_1_92 & (all_510_0_91 = all_346_0_69 | ~ m1_subset_1(all_226_1_51, all_510_1_92))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (686) yields:
% 17.32/4.55 | (687) k2_lattices(all_0_15_15, all_226_1_51, all_226_1_51) = all_510_0_91
% 17.32/4.55 | (688) u1_struct_0(all_0_15_15) = all_510_1_92
% 17.32/4.55 | (689) all_510_0_91 = all_346_0_69 | ~ m1_subset_1(all_226_1_51, all_510_1_92)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (647) with all_514_0_95, all_514_1_96 yields:
% 17.32/4.55 | (690) k4_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = all_514_0_95 & u1_struct_0(all_0_15_15) = all_514_1_96 & (all_514_0_95 = all_348_0_70 | ~ m1_subset_1(all_226_0_50, all_514_1_96) | ~ m1_subset_1(all_226_1_51, all_514_1_96))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (690) yields:
% 17.32/4.55 | (691) k4_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = all_514_0_95
% 17.32/4.55 | (692) u1_struct_0(all_0_15_15) = all_514_1_96
% 17.32/4.55 | (693) all_514_0_95 = all_348_0_70 | ~ m1_subset_1(all_226_0_50, all_514_1_96) | ~ m1_subset_1(all_226_1_51, all_514_1_96)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (646) with all_516_0_97 yields:
% 17.32/4.55 | (694) u1_struct_0(all_0_15_15) = all_516_0_97 & ( ~ m1_subset_1(all_226_0_50, all_516_0_97) | ~ m1_subset_1(all_226_3_53, all_516_0_97) | m1_subset_1(all_368_0_81, all_516_0_97))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (694) yields:
% 17.32/4.55 | (695) u1_struct_0(all_0_15_15) = all_516_0_97
% 17.32/4.55 | (696) ~ m1_subset_1(all_226_0_50, all_516_0_97) | ~ m1_subset_1(all_226_3_53, all_516_0_97) | m1_subset_1(all_368_0_81, all_516_0_97)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (671) with all_518_0_98 yields:
% 17.32/4.55 | (697) k4_lattices(all_0_15_15, all_240_0_55, all_226_1_51) = all_518_0_98 & ( ~ r2_hidden(all_518_0_98, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_518_0_98, all_0_12_12))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (697) yields:
% 17.32/4.55 | (698) k4_lattices(all_0_15_15, all_240_0_55, all_226_1_51) = all_518_0_98
% 17.32/4.55 | (699) ~ r2_hidden(all_518_0_98, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))
% 17.32/4.55 | (700) ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_518_0_98, all_0_12_12)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (670) with all_520_0_99 yields:
% 17.32/4.55 | (701) k4_lattices(all_0_15_15, all_226_1_51, all_240_0_55) = all_520_0_99 & ( ~ r2_hidden(all_520_0_99, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_520_0_99, all_0_12_12))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (701) yields:
% 17.32/4.55 | (702) k4_lattices(all_0_15_15, all_226_1_51, all_240_0_55) = all_520_0_99
% 17.32/4.55 | (703) ~ r2_hidden(all_520_0_99, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))
% 17.32/4.55 | (704) ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_520_0_99, all_0_12_12)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (645) with all_522_0_100, all_522_1_101 yields:
% 17.32/4.55 | (705) k2_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = all_522_0_100 & u1_struct_0(all_0_15_15) = all_522_1_101 & (all_522_0_100 = all_368_0_81 | ~ m1_subset_1(all_226_0_50, all_522_1_101) | ~ m1_subset_1(all_226_3_53, all_522_1_101))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (705) yields:
% 17.32/4.55 | (706) k2_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = all_522_0_100
% 17.32/4.55 | (707) u1_struct_0(all_0_15_15) = all_522_1_101
% 17.32/4.55 | (708) all_522_0_100 = all_368_0_81 | ~ m1_subset_1(all_226_0_50, all_522_1_101) | ~ m1_subset_1(all_226_3_53, all_522_1_101)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (644) with all_524_0_102, all_524_1_103 yields:
% 17.32/4.55 | (709) k4_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = all_524_0_102 & u1_struct_0(all_0_15_15) = all_524_1_103 & (all_524_0_102 = all_368_0_81 | ~ m1_subset_1(all_226_0_50, all_524_1_103) | ~ m1_subset_1(all_226_3_53, all_524_1_103))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (709) yields:
% 17.32/4.55 | (710) k4_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = all_524_0_102
% 17.32/4.55 | (711) u1_struct_0(all_0_15_15) = all_524_1_103
% 17.32/4.55 | (712) all_524_0_102 = all_368_0_81 | ~ m1_subset_1(all_226_0_50, all_524_1_103) | ~ m1_subset_1(all_226_3_53, all_524_1_103)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (649) with all_530_0_107 yields:
% 17.32/4.55 | (713) u1_struct_0(all_0_15_15) = all_530_0_107 & ( ~ m1_subset_1(all_226_0_50, all_530_0_107) | ~ m1_subset_1(all_226_1_51, all_530_0_107) | m1_subset_1(all_348_0_70, all_530_0_107))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (713) yields:
% 17.32/4.55 | (714) u1_struct_0(all_0_15_15) = all_530_0_107
% 17.32/4.55 | (715) ~ m1_subset_1(all_226_0_50, all_530_0_107) | ~ m1_subset_1(all_226_1_51, all_530_0_107) | m1_subset_1(all_348_0_70, all_530_0_107)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (643) with all_532_0_108 yields:
% 17.32/4.55 | (716) u1_struct_0(all_0_15_15) = all_532_0_108 & ( ~ m1_subset_1(all_226_0_50, all_532_0_108) | ~ m1_subset_1(all_226_2_52, all_532_0_108) | m1_subset_1(all_366_0_80, all_532_0_108))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (716) yields:
% 17.32/4.55 | (717) u1_struct_0(all_0_15_15) = all_532_0_108
% 17.32/4.55 | (718) ~ m1_subset_1(all_226_0_50, all_532_0_108) | ~ m1_subset_1(all_226_2_52, all_532_0_108) | m1_subset_1(all_366_0_80, all_532_0_108)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (641) with all_534_0_109, all_534_1_110 yields:
% 17.32/4.55 | (719) k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_534_0_109 & u1_struct_0(all_0_15_15) = all_534_1_110 & (all_534_0_109 = all_366_0_80 | ~ m1_subset_1(all_226_0_50, all_534_1_110) | ~ m1_subset_1(all_226_2_52, all_534_1_110))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (719) yields:
% 17.32/4.55 | (720) k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_534_0_109
% 17.32/4.55 | (721) u1_struct_0(all_0_15_15) = all_534_1_110
% 17.32/4.55 | (722) all_534_0_109 = all_366_0_80 | ~ m1_subset_1(all_226_0_50, all_534_1_110) | ~ m1_subset_1(all_226_2_52, all_534_1_110)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (682) with all_536_0_111 yields:
% 17.32/4.55 | (723) k4_lattices(all_0_15_15, all_238_0_54, all_238_0_54) = all_536_0_111 & ( ~ r2_hidden(all_536_0_111, all_0_12_12) | r2_hidden(all_238_0_54, all_0_12_12)) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | r2_hidden(all_536_0_111, all_0_12_12))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (723) yields:
% 17.32/4.55 | (724) k4_lattices(all_0_15_15, all_238_0_54, all_238_0_54) = all_536_0_111
% 17.32/4.55 | (725) ~ r2_hidden(all_536_0_111, all_0_12_12) | r2_hidden(all_238_0_54, all_0_12_12)
% 17.32/4.55 | (726) ~ r2_hidden(all_238_0_54, all_0_12_12) | r2_hidden(all_536_0_111, all_0_12_12)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (681) with all_538_0_112 yields:
% 17.32/4.55 | (727) k4_lattices(all_0_15_15, all_238_0_54, all_240_0_55) = all_538_0_112 & ( ~ r2_hidden(all_538_0_112, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_238_0_54, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_238_0_54, all_0_12_12) | r2_hidden(all_538_0_112, all_0_12_12))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (727) yields:
% 17.32/4.55 | (728) k4_lattices(all_0_15_15, all_238_0_54, all_240_0_55) = all_538_0_112
% 17.32/4.55 | (729) ~ r2_hidden(all_538_0_112, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_238_0_54, all_0_12_12))
% 17.32/4.55 | (730) ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_238_0_54, all_0_12_12) | r2_hidden(all_538_0_112, all_0_12_12)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (669) with all_542_0_114 yields:
% 17.32/4.55 | (731) u1_struct_0(all_0_15_15) = all_542_0_114 & ( ~ m1_subset_1(all_226_1_51, all_542_0_114) | ~ m1_subset_1(all_226_3_53, all_542_0_114) | m1_subset_1(all_352_0_73, all_542_0_114))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (731) yields:
% 17.32/4.55 | (732) u1_struct_0(all_0_15_15) = all_542_0_114
% 17.32/4.55 | (733) ~ m1_subset_1(all_226_1_51, all_542_0_114) | ~ m1_subset_1(all_226_3_53, all_542_0_114) | m1_subset_1(all_352_0_73, all_542_0_114)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (668) with all_544_0_115, all_544_1_116 yields:
% 17.32/4.55 | (734) k2_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = all_544_0_115 & u1_struct_0(all_0_15_15) = all_544_1_116 & (all_544_0_115 = all_352_0_73 | ~ m1_subset_1(all_226_1_51, all_544_1_116) | ~ m1_subset_1(all_226_3_53, all_544_1_116))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (734) yields:
% 17.32/4.55 | (735) k2_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = all_544_0_115
% 17.32/4.55 | (736) u1_struct_0(all_0_15_15) = all_544_1_116
% 17.32/4.55 | (737) all_544_0_115 = all_352_0_73 | ~ m1_subset_1(all_226_1_51, all_544_1_116) | ~ m1_subset_1(all_226_3_53, all_544_1_116)
% 17.32/4.55 |
% 17.32/4.55 | Instantiating (678) with all_546_0_117 yields:
% 17.32/4.55 | (738) k4_lattices(all_0_15_15, all_238_0_54, all_226_2_52) = all_546_0_117 & ( ~ r2_hidden(all_546_0_117, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_546_0_117, all_0_12_12))
% 17.32/4.55 |
% 17.32/4.55 | Applying alpha-rule on (738) yields:
% 17.32/4.56 | (739) k4_lattices(all_0_15_15, all_238_0_54, all_226_2_52) = all_546_0_117
% 17.32/4.56 | (740) ~ r2_hidden(all_546_0_117, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))
% 17.32/4.56 | (741) ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_546_0_117, all_0_12_12)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (667) with all_550_0_119, all_550_1_120 yields:
% 17.32/4.56 | (742) k4_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = all_550_0_119 & u1_struct_0(all_0_15_15) = all_550_1_120 & (all_550_0_119 = all_352_0_73 | ~ m1_subset_1(all_226_1_51, all_550_1_120) | ~ m1_subset_1(all_226_3_53, all_550_1_120))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (742) yields:
% 17.32/4.56 | (743) k4_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = all_550_0_119
% 17.32/4.56 | (744) u1_struct_0(all_0_15_15) = all_550_1_120
% 17.32/4.56 | (745) all_550_0_119 = all_352_0_73 | ~ m1_subset_1(all_226_1_51, all_550_1_120) | ~ m1_subset_1(all_226_3_53, all_550_1_120)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (665) with all_552_0_121, all_552_1_122 yields:
% 17.32/4.56 | (746) k2_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = all_552_0_121 & u1_struct_0(all_0_15_15) = all_552_1_122 & (all_552_0_121 = all_364_0_79 | ~ m1_subset_1(all_226_0_50, all_552_1_122) | ~ m1_subset_1(all_226_3_53, all_552_1_122))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (746) yields:
% 17.32/4.56 | (747) k2_lattices(all_0_15_15, all_226_3_53, all_226_0_50) = all_552_0_121
% 17.32/4.56 | (748) u1_struct_0(all_0_15_15) = all_552_1_122
% 17.32/4.56 | (749) all_552_0_121 = all_364_0_79 | ~ m1_subset_1(all_226_0_50, all_552_1_122) | ~ m1_subset_1(all_226_3_53, all_552_1_122)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (664) with all_554_0_123, all_554_1_124 yields:
% 17.32/4.56 | (750) k4_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = all_554_0_123 & u1_struct_0(all_0_15_15) = all_554_1_124 & (all_554_0_123 = all_364_0_79 | ~ m1_subset_1(all_226_0_50, all_554_1_124) | ~ m1_subset_1(all_226_3_53, all_554_1_124))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (750) yields:
% 17.32/4.56 | (751) k4_lattices(all_0_15_15, all_226_0_50, all_226_3_53) = all_554_0_123
% 17.32/4.56 | (752) u1_struct_0(all_0_15_15) = all_554_1_124
% 17.32/4.56 | (753) all_554_0_123 = all_364_0_79 | ~ m1_subset_1(all_226_0_50, all_554_1_124) | ~ m1_subset_1(all_226_3_53, all_554_1_124)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (676) with all_556_0_125 yields:
% 17.32/4.56 | (754) k4_lattices(all_0_15_15, all_226_1_51, all_238_0_54) = all_556_0_125 & ( ~ r2_hidden(all_556_0_125, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_556_0_125, all_0_12_12))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (754) yields:
% 17.32/4.56 | (755) k4_lattices(all_0_15_15, all_226_1_51, all_238_0_54) = all_556_0_125
% 17.32/4.56 | (756) ~ r2_hidden(all_556_0_125, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_1_51, all_0_12_12))
% 17.32/4.56 | (757) ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_556_0_125, all_0_12_12)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (659) with all_558_0_126, all_558_1_127 yields:
% 17.32/4.56 | (758) k2_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_558_0_126 & u1_struct_0(all_0_15_15) = all_558_1_127 & (all_558_0_126 = all_370_0_82 | ~ m1_subset_1(all_226_0_50, all_558_1_127) | ~ m1_subset_1(all_226_2_52, all_558_1_127))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (758) yields:
% 17.32/4.56 | (759) k2_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_558_0_126
% 17.32/4.56 | (760) u1_struct_0(all_0_15_15) = all_558_1_127
% 17.32/4.56 | (761) all_558_0_126 = all_370_0_82 | ~ m1_subset_1(all_226_0_50, all_558_1_127) | ~ m1_subset_1(all_226_2_52, all_558_1_127)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (657) with all_560_0_128 yields:
% 17.32/4.56 | (762) u1_struct_0(all_0_15_15) = all_560_0_128 & ( ~ m1_subset_1(all_226_1_51, all_560_0_128) | ~ m1_subset_1(all_226_3_53, all_560_0_128) | m1_subset_1(all_360_0_77, all_560_0_128))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (762) yields:
% 17.32/4.56 | (763) u1_struct_0(all_0_15_15) = all_560_0_128
% 17.32/4.56 | (764) ~ m1_subset_1(all_226_1_51, all_560_0_128) | ~ m1_subset_1(all_226_3_53, all_560_0_128) | m1_subset_1(all_360_0_77, all_560_0_128)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (656) with all_562_0_129, all_562_1_130 yields:
% 17.32/4.56 | (765) k2_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = all_562_0_129 & u1_struct_0(all_0_15_15) = all_562_1_130 & (all_562_0_129 = all_360_0_77 | ~ m1_subset_1(all_226_1_51, all_562_1_130) | ~ m1_subset_1(all_226_3_53, all_562_1_130))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (765) yields:
% 17.32/4.56 | (766) k2_lattices(all_0_15_15, all_226_1_51, all_226_3_53) = all_562_0_129
% 17.32/4.56 | (767) u1_struct_0(all_0_15_15) = all_562_1_130
% 17.32/4.56 | (768) all_562_0_129 = all_360_0_77 | ~ m1_subset_1(all_226_1_51, all_562_1_130) | ~ m1_subset_1(all_226_3_53, all_562_1_130)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (658) with all_564_0_131, all_564_1_132 yields:
% 17.32/4.56 | (769) k4_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = all_564_0_131 & u1_struct_0(all_0_15_15) = all_564_1_132 & (all_564_0_131 = all_370_0_82 | ~ m1_subset_1(all_226_0_50, all_564_1_132) | ~ m1_subset_1(all_226_2_52, all_564_1_132))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (769) yields:
% 17.32/4.56 | (770) k4_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = all_564_0_131
% 17.32/4.56 | (771) u1_struct_0(all_0_15_15) = all_564_1_132
% 17.32/4.56 | (772) all_564_0_131 = all_370_0_82 | ~ m1_subset_1(all_226_0_50, all_564_1_132) | ~ m1_subset_1(all_226_2_52, all_564_1_132)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (677) with all_566_0_133 yields:
% 17.32/4.56 | (773) k4_lattices(all_0_15_15, all_226_2_52, all_238_0_54) = all_566_0_133 & ( ~ r2_hidden(all_566_0_133, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_566_0_133, all_0_12_12))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (773) yields:
% 17.32/4.56 | (774) k4_lattices(all_0_15_15, all_226_2_52, all_238_0_54) = all_566_0_133
% 17.32/4.56 | (775) ~ r2_hidden(all_566_0_133, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))
% 17.32/4.56 | (776) ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_566_0_133, all_0_12_12)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (680) with all_568_0_134 yields:
% 17.32/4.56 | (777) k4_lattices(all_0_15_15, all_238_0_54, all_226_3_53) = all_568_0_134 & ( ~ r2_hidden(all_568_0_134, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_568_0_134, all_0_12_12))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (777) yields:
% 17.32/4.56 | (778) k4_lattices(all_0_15_15, all_238_0_54, all_226_3_53) = all_568_0_134
% 17.32/4.56 | (779) ~ r2_hidden(all_568_0_134, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))
% 17.32/4.56 | (780) ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_568_0_134, all_0_12_12)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (679) with all_574_0_137 yields:
% 17.32/4.56 | (781) k4_lattices(all_0_15_15, all_226_3_53, all_238_0_54) = all_574_0_137 & ( ~ r2_hidden(all_574_0_137, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_574_0_137, all_0_12_12))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (781) yields:
% 17.32/4.56 | (782) k4_lattices(all_0_15_15, all_226_3_53, all_238_0_54) = all_574_0_137
% 17.32/4.56 | (783) ~ r2_hidden(all_574_0_137, all_0_12_12) | (r2_hidden(all_238_0_54, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))
% 17.32/4.56 | (784) ~ r2_hidden(all_238_0_54, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_574_0_137, all_0_12_12)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (655) with all_576_0_138, all_576_1_139 yields:
% 17.32/4.56 | (785) k4_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = all_576_0_138 & u1_struct_0(all_0_15_15) = all_576_1_139 & (all_576_0_138 = all_360_0_77 | ~ m1_subset_1(all_226_1_51, all_576_1_139) | ~ m1_subset_1(all_226_3_53, all_576_1_139))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (785) yields:
% 17.32/4.56 | (786) k4_lattices(all_0_15_15, all_226_3_53, all_226_1_51) = all_576_0_138
% 17.32/4.56 | (787) u1_struct_0(all_0_15_15) = all_576_1_139
% 17.32/4.56 | (788) all_576_0_138 = all_360_0_77 | ~ m1_subset_1(all_226_1_51, all_576_1_139) | ~ m1_subset_1(all_226_3_53, all_576_1_139)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (654) with all_578_0_140 yields:
% 17.32/4.56 | (789) u1_struct_0(all_0_15_15) = all_578_0_140 & ( ~ m1_subset_1(all_226_1_51, all_578_0_140) | ~ m1_subset_1(all_226_2_52, all_578_0_140) | m1_subset_1(all_354_0_74, all_578_0_140))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (789) yields:
% 17.32/4.56 | (790) u1_struct_0(all_0_15_15) = all_578_0_140
% 17.32/4.56 | (791) ~ m1_subset_1(all_226_1_51, all_578_0_140) | ~ m1_subset_1(all_226_2_52, all_578_0_140) | m1_subset_1(all_354_0_74, all_578_0_140)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (666) with all_580_0_141 yields:
% 17.32/4.56 | (792) u1_struct_0(all_0_15_15) = all_580_0_141 & ( ~ m1_subset_1(all_226_0_50, all_580_0_141) | ~ m1_subset_1(all_226_3_53, all_580_0_141) | m1_subset_1(all_364_0_79, all_580_0_141))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (792) yields:
% 17.32/4.56 | (793) u1_struct_0(all_0_15_15) = all_580_0_141
% 17.32/4.56 | (794) ~ m1_subset_1(all_226_0_50, all_580_0_141) | ~ m1_subset_1(all_226_3_53, all_580_0_141) | m1_subset_1(all_364_0_79, all_580_0_141)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (640) with all_582_0_142 yields:
% 17.32/4.56 | (795) u1_struct_0(all_0_15_15) = all_582_0_142 & ( ~ m1_subset_1(all_226_0_50, all_582_0_142) | ~ m1_subset_1(all_226_1_51, all_582_0_142) | m1_subset_1(all_358_0_76, all_582_0_142))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (795) yields:
% 17.32/4.56 | (796) u1_struct_0(all_0_15_15) = all_582_0_142
% 17.32/4.56 | (797) ~ m1_subset_1(all_226_0_50, all_582_0_142) | ~ m1_subset_1(all_226_1_51, all_582_0_142) | m1_subset_1(all_358_0_76, all_582_0_142)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (653) with all_584_0_143, all_584_1_144 yields:
% 17.32/4.56 | (798) k2_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = all_584_0_143 & u1_struct_0(all_0_15_15) = all_584_1_144 & (all_584_0_143 = all_354_0_74 | ~ m1_subset_1(all_226_1_51, all_584_1_144) | ~ m1_subset_1(all_226_2_52, all_584_1_144))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (798) yields:
% 17.32/4.56 | (799) k2_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = all_584_0_143
% 17.32/4.56 | (800) u1_struct_0(all_0_15_15) = all_584_1_144
% 17.32/4.56 | (801) all_584_0_143 = all_354_0_74 | ~ m1_subset_1(all_226_1_51, all_584_1_144) | ~ m1_subset_1(all_226_2_52, all_584_1_144)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (642) with all_586_0_145, all_586_1_146 yields:
% 17.32/4.56 | (802) k2_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = all_586_0_145 & u1_struct_0(all_0_15_15) = all_586_1_146 & (all_586_0_145 = all_366_0_80 | ~ m1_subset_1(all_226_0_50, all_586_1_146) | ~ m1_subset_1(all_226_2_52, all_586_1_146))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (802) yields:
% 17.32/4.56 | (803) k2_lattices(all_0_15_15, all_226_0_50, all_226_2_52) = all_586_0_145
% 17.32/4.56 | (804) u1_struct_0(all_0_15_15) = all_586_1_146
% 17.32/4.56 | (805) all_586_0_145 = all_366_0_80 | ~ m1_subset_1(all_226_0_50, all_586_1_146) | ~ m1_subset_1(all_226_2_52, all_586_1_146)
% 17.32/4.56 |
% 17.32/4.56 | Instantiating (648) with all_588_0_147, all_588_1_148 yields:
% 17.32/4.56 | (806) k2_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = all_588_0_147 & u1_struct_0(all_0_15_15) = all_588_1_148 & (all_588_0_147 = all_348_0_70 | ~ m1_subset_1(all_226_0_50, all_588_1_148) | ~ m1_subset_1(all_226_1_51, all_588_1_148))
% 17.32/4.56 |
% 17.32/4.56 | Applying alpha-rule on (806) yields:
% 17.32/4.57 | (807) k2_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = all_588_0_147
% 17.32/4.57 | (808) u1_struct_0(all_0_15_15) = all_588_1_148
% 17.32/4.57 | (809) all_588_0_147 = all_348_0_70 | ~ m1_subset_1(all_226_0_50, all_588_1_148) | ~ m1_subset_1(all_226_1_51, all_588_1_148)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (675) with all_590_0_149 yields:
% 17.32/4.57 | (810) k4_lattices(all_0_15_15, all_240_0_55, all_240_0_55) = all_590_0_149 & ( ~ r2_hidden(all_590_0_149, all_0_12_12) | r2_hidden(all_240_0_55, all_0_12_12)) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | r2_hidden(all_590_0_149, all_0_12_12))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (810) yields:
% 17.32/4.57 | (811) k4_lattices(all_0_15_15, all_240_0_55, all_240_0_55) = all_590_0_149
% 17.32/4.57 | (812) ~ r2_hidden(all_590_0_149, all_0_12_12) | r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 | (813) ~ r2_hidden(all_240_0_55, all_0_12_12) | r2_hidden(all_590_0_149, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (639) with all_594_0_151, all_594_1_152 yields:
% 17.32/4.57 | (814) k2_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = all_594_0_151 & u1_struct_0(all_0_15_15) = all_594_1_152 & (all_594_0_151 = all_358_0_76 | ~ m1_subset_1(all_226_0_50, all_594_1_152) | ~ m1_subset_1(all_226_1_51, all_594_1_152))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (814) yields:
% 17.32/4.57 | (815) k2_lattices(all_0_15_15, all_226_0_50, all_226_1_51) = all_594_0_151
% 17.32/4.57 | (816) u1_struct_0(all_0_15_15) = all_594_1_152
% 17.32/4.57 | (817) all_594_0_151 = all_358_0_76 | ~ m1_subset_1(all_226_0_50, all_594_1_152) | ~ m1_subset_1(all_226_1_51, all_594_1_152)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (637) with all_596_0_153 yields:
% 17.32/4.57 | (818) u1_struct_0(all_0_15_15) = all_596_0_153 & ( ~ m1_subset_1(all_226_0_50, all_596_0_153) | m1_subset_1(all_362_0_78, all_596_0_153))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (818) yields:
% 17.32/4.57 | (819) u1_struct_0(all_0_15_15) = all_596_0_153
% 17.32/4.57 | (820) ~ m1_subset_1(all_226_0_50, all_596_0_153) | m1_subset_1(all_362_0_78, all_596_0_153)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (636) with all_598_0_154, all_598_1_155 yields:
% 17.32/4.57 | (821) k2_lattices(all_0_15_15, all_226_0_50, all_226_0_50) = all_598_0_154 & u1_struct_0(all_0_15_15) = all_598_1_155 & (all_598_0_154 = all_362_0_78 | ~ m1_subset_1(all_226_0_50, all_598_1_155))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (821) yields:
% 17.32/4.57 | (822) k2_lattices(all_0_15_15, all_226_0_50, all_226_0_50) = all_598_0_154
% 17.32/4.57 | (823) u1_struct_0(all_0_15_15) = all_598_1_155
% 17.32/4.57 | (824) all_598_0_154 = all_362_0_78 | ~ m1_subset_1(all_226_0_50, all_598_1_155)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (652) with all_600_0_156, all_600_1_157 yields:
% 17.32/4.57 | (825) k4_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = all_600_0_156 & u1_struct_0(all_0_15_15) = all_600_1_157 & (all_600_0_156 = all_354_0_74 | ~ m1_subset_1(all_226_1_51, all_600_1_157) | ~ m1_subset_1(all_226_2_52, all_600_1_157))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (825) yields:
% 17.32/4.57 | (826) k4_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = all_600_0_156
% 17.32/4.57 | (827) u1_struct_0(all_0_15_15) = all_600_1_157
% 17.32/4.57 | (828) all_600_0_156 = all_354_0_74 | ~ m1_subset_1(all_226_1_51, all_600_1_157) | ~ m1_subset_1(all_226_2_52, all_600_1_157)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (663) with all_602_0_158 yields:
% 17.32/4.57 | (829) u1_struct_0(all_0_15_15) = all_602_0_158 & ( ~ m1_subset_1(all_226_1_51, all_602_0_158) | ~ m1_subset_1(all_226_2_52, all_602_0_158) | m1_subset_1(all_344_0_68, all_602_0_158))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (829) yields:
% 17.32/4.57 | (830) u1_struct_0(all_0_15_15) = all_602_0_158
% 17.32/4.57 | (831) ~ m1_subset_1(all_226_1_51, all_602_0_158) | ~ m1_subset_1(all_226_2_52, all_602_0_158) | m1_subset_1(all_344_0_68, all_602_0_158)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (661) with all_604_0_159, all_604_1_160 yields:
% 17.32/4.57 | (832) k4_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = all_604_0_159 & u1_struct_0(all_0_15_15) = all_604_1_160 & (all_604_0_159 = all_344_0_68 | ~ m1_subset_1(all_226_1_51, all_604_1_160) | ~ m1_subset_1(all_226_2_52, all_604_1_160))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (832) yields:
% 17.32/4.57 | (833) k4_lattices(all_0_15_15, all_226_1_51, all_226_2_52) = all_604_0_159
% 17.32/4.57 | (834) u1_struct_0(all_0_15_15) = all_604_1_160
% 17.32/4.57 | (835) all_604_0_159 = all_344_0_68 | ~ m1_subset_1(all_226_1_51, all_604_1_160) | ~ m1_subset_1(all_226_2_52, all_604_1_160)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (660) with all_606_0_161 yields:
% 17.32/4.57 | (836) u1_struct_0(all_0_15_15) = all_606_0_161 & ( ~ m1_subset_1(all_226_0_50, all_606_0_161) | ~ m1_subset_1(all_226_2_52, all_606_0_161) | m1_subset_1(all_370_0_82, all_606_0_161))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (836) yields:
% 17.32/4.57 | (837) u1_struct_0(all_0_15_15) = all_606_0_161
% 17.32/4.57 | (838) ~ m1_subset_1(all_226_0_50, all_606_0_161) | ~ m1_subset_1(all_226_2_52, all_606_0_161) | m1_subset_1(all_370_0_82, all_606_0_161)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (662) with all_608_0_162, all_608_1_163 yields:
% 17.32/4.57 | (839) k2_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = all_608_0_162 & u1_struct_0(all_0_15_15) = all_608_1_163 & (all_608_0_162 = all_344_0_68 | ~ m1_subset_1(all_226_1_51, all_608_1_163) | ~ m1_subset_1(all_226_2_52, all_608_1_163))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (839) yields:
% 17.32/4.57 | (840) k2_lattices(all_0_15_15, all_226_2_52, all_226_1_51) = all_608_0_162
% 17.32/4.57 | (841) u1_struct_0(all_0_15_15) = all_608_1_163
% 17.32/4.57 | (842) all_608_0_162 = all_344_0_68 | ~ m1_subset_1(all_226_1_51, all_608_1_163) | ~ m1_subset_1(all_226_2_52, all_608_1_163)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (638) with all_610_0_164, all_610_1_165 yields:
% 17.32/4.57 | (843) k4_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = all_610_0_164 & u1_struct_0(all_0_15_15) = all_610_1_165 & (all_610_0_164 = all_358_0_76 | ~ m1_subset_1(all_226_0_50, all_610_1_165) | ~ m1_subset_1(all_226_1_51, all_610_1_165))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (843) yields:
% 17.32/4.57 | (844) k4_lattices(all_0_15_15, all_226_1_51, all_226_0_50) = all_610_0_164
% 17.32/4.57 | (845) u1_struct_0(all_0_15_15) = all_610_1_165
% 17.32/4.57 | (846) all_610_0_164 = all_358_0_76 | ~ m1_subset_1(all_226_0_50, all_610_1_165) | ~ m1_subset_1(all_226_1_51, all_610_1_165)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (674) with all_612_0_166 yields:
% 17.32/4.57 | (847) k4_lattices(all_0_15_15, all_240_0_55, all_226_3_53) = all_612_0_166 & ( ~ r2_hidden(all_612_0_166, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_612_0_166, all_0_12_12))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (847) yields:
% 17.32/4.57 | (848) k4_lattices(all_0_15_15, all_240_0_55, all_226_3_53) = all_612_0_166
% 17.32/4.57 | (849) ~ r2_hidden(all_612_0_166, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_3_53, all_0_12_12))
% 17.32/4.57 | (850) ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_612_0_166, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (673) with all_616_0_168 yields:
% 17.32/4.57 | (851) k4_lattices(all_0_15_15, all_240_0_55, all_226_2_52) = all_616_0_168 & ( ~ r2_hidden(all_616_0_168, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_616_0_168, all_0_12_12))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (851) yields:
% 17.32/4.57 | (852) k4_lattices(all_0_15_15, all_240_0_55, all_226_2_52) = all_616_0_168
% 17.32/4.57 | (853) ~ r2_hidden(all_616_0_168, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))
% 17.32/4.57 | (854) ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_616_0_168, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Instantiating (672) with all_618_0_169 yields:
% 17.32/4.57 | (855) k4_lattices(all_0_15_15, all_226_2_52, all_240_0_55) = all_618_0_169 & ( ~ r2_hidden(all_618_0_169, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))) & ( ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_618_0_169, all_0_12_12))
% 17.32/4.57 |
% 17.32/4.57 | Applying alpha-rule on (855) yields:
% 17.32/4.57 | (856) k4_lattices(all_0_15_15, all_226_2_52, all_240_0_55) = all_618_0_169
% 17.32/4.57 | (857) ~ r2_hidden(all_618_0_169, all_0_12_12) | (r2_hidden(all_240_0_55, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12))
% 17.32/4.57 | (858) ~ r2_hidden(all_240_0_55, all_0_12_12) | ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_618_0_169, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (858), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (859) ~ r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (337) and (859) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (337) r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 | (862) ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_618_0_169, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (757), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (863) ~ r2_hidden(all_238_0_54, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (333) and (863) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (333) r2_hidden(all_238_0_54, all_0_12_12)
% 17.32/4.57 | (866) ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_556_0_125, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (862), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (280) and (334) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.32/4.57 | (870) r2_hidden(all_618_0_169, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (813), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (859) ~ r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (337) and (859) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (337) r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 | (874) r2_hidden(all_590_0_149, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (784), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (863) ~ r2_hidden(all_238_0_54, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (333) and (863) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (333) r2_hidden(all_238_0_54, all_0_12_12)
% 17.32/4.57 | (878) ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_574_0_137, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (700), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (859) ~ r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (337) and (859) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (337) r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 | (882) ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_518_0_98, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (704), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (859) ~ r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (337) and (859) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (337) r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 | (886) ~ r2_hidden(all_226_1_51, all_0_12_12) | r2_hidden(all_520_0_99, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (850), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (859) ~ r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (337) and (859) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (337) r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 | (890) ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_612_0_166, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (730), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (859) ~ r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (337) and (859) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (337) r2_hidden(all_240_0_55, all_0_12_12)
% 17.32/4.57 | (894) ~ r2_hidden(all_238_0_54, all_0_12_12) | r2_hidden(all_538_0_112, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (894), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (863) ~ r2_hidden(all_238_0_54, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (333) and (863) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.32/4.57 | (333) r2_hidden(all_238_0_54, all_0_12_12)
% 17.32/4.57 | (898) r2_hidden(all_538_0_112, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 +-Applying beta-rule and splitting (726), into two cases.
% 17.32/4.57 |-Branch one:
% 17.32/4.57 | (863) ~ r2_hidden(all_238_0_54, all_0_12_12)
% 17.32/4.57 |
% 17.32/4.57 | Using (333) and (863) yields:
% 17.32/4.57 | (270) $false
% 17.32/4.57 |
% 17.32/4.57 |-The branch is then unsatisfiable
% 17.32/4.57 |-Branch two:
% 17.73/4.57 | (333) r2_hidden(all_238_0_54, all_0_12_12)
% 17.73/4.58 | (902) r2_hidden(all_536_0_111, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 +-Applying beta-rule and splitting (780), into two cases.
% 17.73/4.58 |-Branch one:
% 17.73/4.58 | (863) ~ r2_hidden(all_238_0_54, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 | Using (333) and (863) yields:
% 17.73/4.58 | (270) $false
% 17.73/4.58 |
% 17.73/4.58 |-The branch is then unsatisfiable
% 17.73/4.58 |-Branch two:
% 17.73/4.58 | (333) r2_hidden(all_238_0_54, all_0_12_12)
% 17.73/4.58 | (906) ~ r2_hidden(all_226_3_53, all_0_12_12) | r2_hidden(all_568_0_134, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 +-Applying beta-rule and splitting (776), into two cases.
% 17.73/4.58 |-Branch one:
% 17.73/4.58 | (863) ~ r2_hidden(all_238_0_54, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 | Using (333) and (863) yields:
% 17.73/4.58 | (270) $false
% 17.73/4.58 |
% 17.73/4.58 |-The branch is then unsatisfiable
% 17.73/4.58 |-Branch two:
% 17.73/4.58 | (333) r2_hidden(all_238_0_54, all_0_12_12)
% 17.73/4.58 | (910) ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_566_0_133, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 +-Applying beta-rule and splitting (741), into two cases.
% 17.73/4.58 |-Branch one:
% 17.73/4.58 | (863) ~ r2_hidden(all_238_0_54, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 | Using (333) and (863) yields:
% 17.73/4.58 | (270) $false
% 17.73/4.58 |
% 17.73/4.58 |-The branch is then unsatisfiable
% 17.73/4.58 |-Branch two:
% 17.73/4.58 | (333) r2_hidden(all_238_0_54, all_0_12_12)
% 17.73/4.58 | (914) ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_546_0_117, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 +-Applying beta-rule and splitting (914), into two cases.
% 17.73/4.58 |-Branch one:
% 17.73/4.58 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 | Using (280) and (334) yields:
% 17.73/4.58 | (270) $false
% 17.73/4.58 |
% 17.73/4.58 |-The branch is then unsatisfiable
% 17.73/4.58 |-Branch two:
% 17.73/4.58 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.73/4.58 | (918) r2_hidden(all_546_0_117, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 +-Applying beta-rule and splitting (854), into two cases.
% 17.73/4.58 |-Branch one:
% 17.73/4.58 | (859) ~ r2_hidden(all_240_0_55, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 | Using (337) and (859) yields:
% 17.73/4.58 | (270) $false
% 17.73/4.58 |
% 17.73/4.58 |-The branch is then unsatisfiable
% 17.73/4.58 |-Branch two:
% 17.73/4.58 | (337) r2_hidden(all_240_0_55, all_0_12_12)
% 17.73/4.58 | (922) ~ r2_hidden(all_226_2_52, all_0_12_12) | r2_hidden(all_616_0_168, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 +-Applying beta-rule and splitting (922), into two cases.
% 17.73/4.58 |-Branch one:
% 17.73/4.58 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 | Using (280) and (334) yields:
% 17.73/4.58 | (270) $false
% 17.73/4.58 |
% 17.73/4.58 |-The branch is then unsatisfiable
% 17.73/4.58 |-Branch two:
% 17.73/4.58 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.73/4.58 | (926) r2_hidden(all_616_0_168, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 +-Applying beta-rule and splitting (910), into two cases.
% 17.73/4.58 |-Branch one:
% 17.73/4.58 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 | Using (280) and (334) yields:
% 17.73/4.58 | (270) $false
% 17.73/4.58 |
% 17.73/4.58 |-The branch is then unsatisfiable
% 17.73/4.58 |-Branch two:
% 17.73/4.58 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.73/4.58 | (930) r2_hidden(all_566_0_133, all_0_12_12)
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (56) with all_0_15_15, all_226_2_52, all_226_0_50, all_534_0_109, all_370_0_82 and discharging atoms k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_534_0_109, k4_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_370_0_82, yields:
% 17.73/4.58 | (931) all_534_0_109 = all_370_0_82
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_602_0_158, all_604_1_160 and discharging atoms u1_struct_0(all_0_15_15) = all_604_1_160, u1_struct_0(all_0_15_15) = all_602_0_158, yields:
% 17.73/4.58 | (932) all_604_1_160 = all_602_0_158
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_598_1_155, all_606_0_161 and discharging atoms u1_struct_0(all_0_15_15) = all_606_0_161, u1_struct_0(all_0_15_15) = all_598_1_155, yields:
% 17.73/4.58 | (933) all_606_0_161 = all_598_1_155
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_598_1_155, all_602_0_158 and discharging atoms u1_struct_0(all_0_15_15) = all_602_0_158, u1_struct_0(all_0_15_15) = all_598_1_155, yields:
% 17.73/4.58 | (934) all_602_0_158 = all_598_1_155
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_594_1_152, all_600_1_157 and discharging atoms u1_struct_0(all_0_15_15) = all_600_1_157, u1_struct_0(all_0_15_15) = all_594_1_152, yields:
% 17.73/4.58 | (935) all_600_1_157 = all_594_1_152
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_594_1_152, all_596_0_153 and discharging atoms u1_struct_0(all_0_15_15) = all_596_0_153, u1_struct_0(all_0_15_15) = all_594_1_152, yields:
% 17.73/4.58 | (936) all_596_0_153 = all_594_1_152
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_586_1_146, all_588_1_148 and discharging atoms u1_struct_0(all_0_15_15) = all_588_1_148, u1_struct_0(all_0_15_15) = all_586_1_146, yields:
% 17.73/4.58 | (937) all_588_1_148 = all_586_1_146
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_584_1_144, all_602_0_158 and discharging atoms u1_struct_0(all_0_15_15) = all_602_0_158, u1_struct_0(all_0_15_15) = all_584_1_144, yields:
% 17.73/4.58 | (938) all_602_0_158 = all_584_1_144
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_582_0_142, all_604_1_160 and discharging atoms u1_struct_0(all_0_15_15) = all_604_1_160, u1_struct_0(all_0_15_15) = all_582_0_142, yields:
% 17.73/4.58 | (939) all_604_1_160 = all_582_0_142
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_580_0_141, all_594_1_152 and discharging atoms u1_struct_0(all_0_15_15) = all_594_1_152, u1_struct_0(all_0_15_15) = all_580_0_141, yields:
% 17.73/4.58 | (940) all_594_1_152 = all_580_0_141
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_578_0_140, all_596_0_153 and discharging atoms u1_struct_0(all_0_15_15) = all_596_0_153, u1_struct_0(all_0_15_15) = all_578_0_140, yields:
% 17.73/4.58 | (941) all_596_0_153 = all_578_0_140
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_576_1_139, all_584_1_144 and discharging atoms u1_struct_0(all_0_15_15) = all_584_1_144, u1_struct_0(all_0_15_15) = all_576_1_139, yields:
% 17.73/4.58 | (942) all_584_1_144 = all_576_1_139
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_564_1_132, all_584_1_144 and discharging atoms u1_struct_0(all_0_15_15) = all_584_1_144, u1_struct_0(all_0_15_15) = all_564_1_132, yields:
% 17.73/4.58 | (943) all_584_1_144 = all_564_1_132
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_562_1_130, all_606_0_161 and discharging atoms u1_struct_0(all_0_15_15) = all_606_0_161, u1_struct_0(all_0_15_15) = all_562_1_130, yields:
% 17.73/4.58 | (944) all_606_0_161 = all_562_1_130
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_560_0_128, all_0_14_14 and discharging atoms u1_struct_0(all_0_15_15) = all_560_0_128, u1_struct_0(all_0_15_15) = all_0_14_14, yields:
% 17.73/4.58 | (945) all_560_0_128 = all_0_14_14
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_560_0_128, all_610_1_165 and discharging atoms u1_struct_0(all_0_15_15) = all_610_1_165, u1_struct_0(all_0_15_15) = all_560_0_128, yields:
% 17.73/4.58 | (946) all_610_1_165 = all_560_0_128
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_558_1_127, all_594_1_152 and discharging atoms u1_struct_0(all_0_15_15) = all_594_1_152, u1_struct_0(all_0_15_15) = all_558_1_127, yields:
% 17.73/4.58 | (947) all_594_1_152 = all_558_1_127
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_558_1_127, all_586_1_146 and discharging atoms u1_struct_0(all_0_15_15) = all_586_1_146, u1_struct_0(all_0_15_15) = all_558_1_127, yields:
% 17.73/4.58 | (948) all_586_1_146 = all_558_1_127
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_554_1_124, all_588_1_148 and discharging atoms u1_struct_0(all_0_15_15) = all_588_1_148, u1_struct_0(all_0_15_15) = all_554_1_124, yields:
% 17.73/4.58 | (949) all_588_1_148 = all_554_1_124
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_552_1_122, all_586_1_146 and discharging atoms u1_struct_0(all_0_15_15) = all_586_1_146, u1_struct_0(all_0_15_15) = all_552_1_122, yields:
% 17.73/4.58 | (950) all_586_1_146 = all_552_1_122
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_552_1_122, all_564_1_132 and discharging atoms u1_struct_0(all_0_15_15) = all_564_1_132, u1_struct_0(all_0_15_15) = all_552_1_122, yields:
% 17.73/4.58 | (951) all_564_1_132 = all_552_1_122
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_550_1_120, all_600_1_157 and discharging atoms u1_struct_0(all_0_15_15) = all_600_1_157, u1_struct_0(all_0_15_15) = all_550_1_120, yields:
% 17.73/4.58 | (952) all_600_1_157 = all_550_1_120
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_544_1_116, all_608_1_163 and discharging atoms u1_struct_0(all_0_15_15) = all_608_1_163, u1_struct_0(all_0_15_15) = all_544_1_116, yields:
% 17.73/4.58 | (953) all_608_1_163 = all_544_1_116
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_542_0_114, all_608_1_163 and discharging atoms u1_struct_0(all_0_15_15) = all_608_1_163, u1_struct_0(all_0_15_15) = all_542_0_114, yields:
% 17.73/4.58 | (954) all_608_1_163 = all_542_0_114
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_534_1_110, all_552_1_122 and discharging atoms u1_struct_0(all_0_15_15) = all_552_1_122, u1_struct_0(all_0_15_15) = all_534_1_110, yields:
% 17.73/4.58 | (955) all_552_1_122 = all_534_1_110
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_532_0_108, all_544_1_116 and discharging atoms u1_struct_0(all_0_15_15) = all_544_1_116, u1_struct_0(all_0_15_15) = all_532_0_108, yields:
% 17.73/4.58 | (956) all_544_1_116 = all_532_0_108
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_530_0_107, all_544_1_116 and discharging atoms u1_struct_0(all_0_15_15) = all_544_1_116, u1_struct_0(all_0_15_15) = all_530_0_107, yields:
% 17.73/4.58 | (957) all_544_1_116 = all_530_0_107
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_530_0_107, all_534_1_110 and discharging atoms u1_struct_0(all_0_15_15) = all_534_1_110, u1_struct_0(all_0_15_15) = all_530_0_107, yields:
% 17.73/4.58 | (958) all_534_1_110 = all_530_0_107
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_524_1_103, all_564_1_132 and discharging atoms u1_struct_0(all_0_15_15) = all_564_1_132, u1_struct_0(all_0_15_15) = all_524_1_103, yields:
% 17.73/4.58 | (959) all_564_1_132 = all_524_1_103
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_522_1_101, all_560_0_128 and discharging atoms u1_struct_0(all_0_15_15) = all_560_0_128, u1_struct_0(all_0_15_15) = all_522_1_101, yields:
% 17.73/4.58 | (960) all_560_0_128 = all_522_1_101
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_516_0_97, all_610_1_165 and discharging atoms u1_struct_0(all_0_15_15) = all_610_1_165, u1_struct_0(all_0_15_15) = all_516_0_97, yields:
% 17.73/4.58 | (961) all_610_1_165 = all_516_0_97
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_516_0_97, all_534_1_110 and discharging atoms u1_struct_0(all_0_15_15) = all_534_1_110, u1_struct_0(all_0_15_15) = all_516_0_97, yields:
% 17.73/4.58 | (962) all_534_1_110 = all_516_0_97
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_514_1_96, all_610_1_165 and discharging atoms u1_struct_0(all_0_15_15) = all_610_1_165, u1_struct_0(all_0_15_15) = all_514_1_96, yields:
% 17.73/4.58 | (963) all_610_1_165 = all_514_1_96
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_510_1_92, all_610_1_165 and discharging atoms u1_struct_0(all_0_15_15) = all_610_1_165, u1_struct_0(all_0_15_15) = all_510_1_92, yields:
% 17.73/4.58 | (964) all_610_1_165 = all_510_1_92
% 17.73/4.58 |
% 17.73/4.58 | Instantiating formula (55) with all_0_15_15, all_508_0_90, all_544_1_116 and discharging atoms u1_struct_0(all_0_15_15) = all_544_1_116, u1_struct_0(all_0_15_15) = all_508_0_90, yields:
% 17.73/4.58 | (965) all_544_1_116 = all_508_0_90
% 17.73/4.58 |
% 17.73/4.58 | Combining equations (964,963) yields a new equation:
% 17.73/4.58 | (966) all_514_1_96 = all_510_1_92
% 17.73/4.58 |
% 17.73/4.58 | Combining equations (961,963) yields a new equation:
% 17.73/4.58 | (967) all_516_0_97 = all_514_1_96
% 17.73/4.58 |
% 17.73/4.58 | Simplifying 967 yields:
% 17.73/4.58 | (968) all_516_0_97 = all_514_1_96
% 17.73/4.58 |
% 17.73/4.58 | Combining equations (946,963) yields a new equation:
% 17.73/4.58 | (969) all_560_0_128 = all_514_1_96
% 17.73/4.58 |
% 17.73/4.58 | Simplifying 969 yields:
% 17.73/4.58 | (970) all_560_0_128 = all_514_1_96
% 17.73/4.58 |
% 17.73/4.58 | Combining equations (953,954) yields a new equation:
% 17.73/4.58 | (971) all_544_1_116 = all_542_0_114
% 17.73/4.58 |
% 17.73/4.58 | Simplifying 971 yields:
% 17.73/4.58 | (972) all_544_1_116 = all_542_0_114
% 17.73/4.58 |
% 17.73/4.58 | Combining equations (933,944) yields a new equation:
% 17.73/4.58 | (973) all_598_1_155 = all_562_1_130
% 17.73/4.58 |
% 17.73/4.58 | Simplifying 973 yields:
% 17.73/4.58 | (974) all_598_1_155 = all_562_1_130
% 17.73/4.58 |
% 17.73/4.58 | Combining equations (932,939) yields a new equation:
% 17.73/4.58 | (975) all_602_0_158 = all_582_0_142
% 17.73/4.58 |
% 17.73/4.58 | Simplifying 975 yields:
% 17.73/4.58 | (976) all_602_0_158 = all_582_0_142
% 17.73/4.58 |
% 17.73/4.58 | Combining equations (938,976) yields a new equation:
% 17.73/4.58 | (977) all_584_1_144 = all_582_0_142
% 17.73/4.58 |
% 17.73/4.58 | Simplifying 977 yields:
% 17.73/4.58 | (978) all_584_1_144 = all_582_0_142
% 17.73/4.58 |
% 17.73/4.58 | Combining equations (934,976) yields a new equation:
% 17.73/4.58 | (979) all_598_1_155 = all_582_0_142
% 17.73/4.58 |
% 17.73/4.58 | Simplifying 979 yields:
% 17.73/4.58 | (980) all_598_1_155 = all_582_0_142
% 17.73/4.58 |
% 17.73/4.58 | Combining equations (935,952) yields a new equation:
% 17.73/4.58 | (981) all_594_1_152 = all_550_1_120
% 17.73/4.58 |
% 17.73/4.58 | Simplifying 981 yields:
% 17.73/4.58 | (982) all_594_1_152 = all_550_1_120
% 17.73/4.58 |
% 17.73/4.59 | Combining equations (980,974) yields a new equation:
% 17.73/4.59 | (983) all_582_0_142 = all_562_1_130
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 983 yields:
% 17.73/4.59 | (984) all_582_0_142 = all_562_1_130
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (936,941) yields a new equation:
% 17.73/4.59 | (985) all_594_1_152 = all_578_0_140
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 985 yields:
% 17.73/4.59 | (986) all_594_1_152 = all_578_0_140
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (986,940) yields a new equation:
% 17.73/4.59 | (987) all_580_0_141 = all_578_0_140
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (982,940) yields a new equation:
% 17.73/4.59 | (988) all_580_0_141 = all_550_1_120
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (947,940) yields a new equation:
% 17.73/4.59 | (989) all_580_0_141 = all_558_1_127
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (937,949) yields a new equation:
% 17.73/4.59 | (990) all_586_1_146 = all_554_1_124
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 990 yields:
% 17.73/4.59 | (991) all_586_1_146 = all_554_1_124
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (948,991) yields a new equation:
% 17.73/4.59 | (992) all_558_1_127 = all_554_1_124
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 992 yields:
% 17.73/4.59 | (993) all_558_1_127 = all_554_1_124
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (950,991) yields a new equation:
% 17.73/4.59 | (994) all_554_1_124 = all_552_1_122
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (978,942) yields a new equation:
% 17.73/4.59 | (995) all_582_0_142 = all_576_1_139
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 995 yields:
% 17.73/4.59 | (996) all_582_0_142 = all_576_1_139
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (943,942) yields a new equation:
% 17.73/4.59 | (997) all_576_1_139 = all_564_1_132
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (996,984) yields a new equation:
% 17.73/4.59 | (998) all_576_1_139 = all_562_1_130
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 998 yields:
% 17.73/4.59 | (999) all_576_1_139 = all_562_1_130
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (989,987) yields a new equation:
% 17.73/4.59 | (1000) all_578_0_140 = all_558_1_127
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (988,987) yields a new equation:
% 17.73/4.59 | (1001) all_578_0_140 = all_550_1_120
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1000,1001) yields a new equation:
% 17.73/4.59 | (1002) all_558_1_127 = all_550_1_120
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1002 yields:
% 17.73/4.59 | (1003) all_558_1_127 = all_550_1_120
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (997,999) yields a new equation:
% 17.73/4.59 | (1004) all_564_1_132 = all_562_1_130
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1004 yields:
% 17.73/4.59 | (1005) all_564_1_132 = all_562_1_130
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (959,1005) yields a new equation:
% 17.73/4.59 | (1006) all_562_1_130 = all_524_1_103
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (951,1005) yields a new equation:
% 17.73/4.59 | (1007) all_562_1_130 = all_552_1_122
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1007,1006) yields a new equation:
% 17.73/4.59 | (1008) all_552_1_122 = all_524_1_103
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1008 yields:
% 17.73/4.59 | (1009) all_552_1_122 = all_524_1_103
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (970,960) yields a new equation:
% 17.73/4.59 | (1010) all_522_1_101 = all_514_1_96
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (945,960) yields a new equation:
% 17.73/4.59 | (1011) all_522_1_101 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (993,1003) yields a new equation:
% 17.73/4.59 | (1012) all_554_1_124 = all_550_1_120
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1012 yields:
% 17.73/4.59 | (1013) all_554_1_124 = all_550_1_120
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (994,1013) yields a new equation:
% 17.73/4.59 | (1014) all_552_1_122 = all_550_1_120
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1014 yields:
% 17.73/4.59 | (1015) all_552_1_122 = all_550_1_120
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (955,1015) yields a new equation:
% 17.73/4.59 | (1016) all_550_1_120 = all_534_1_110
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1009,1015) yields a new equation:
% 17.73/4.59 | (1017) all_550_1_120 = all_524_1_103
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1016,1017) yields a new equation:
% 17.73/4.59 | (1018) all_534_1_110 = all_524_1_103
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1018 yields:
% 17.73/4.59 | (1019) all_534_1_110 = all_524_1_103
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (957,972) yields a new equation:
% 17.73/4.59 | (1020) all_542_0_114 = all_530_0_107
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (965,972) yields a new equation:
% 17.73/4.59 | (1021) all_542_0_114 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (956,972) yields a new equation:
% 17.73/4.59 | (1022) all_542_0_114 = all_532_0_108
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1021,1022) yields a new equation:
% 17.73/4.59 | (1023) all_532_0_108 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1020,1022) yields a new equation:
% 17.73/4.59 | (1024) all_532_0_108 = all_530_0_107
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (958,1019) yields a new equation:
% 17.73/4.59 | (1025) all_530_0_107 = all_524_1_103
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1025 yields:
% 17.73/4.59 | (1026) all_530_0_107 = all_524_1_103
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (962,1019) yields a new equation:
% 17.73/4.59 | (1027) all_524_1_103 = all_516_0_97
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1024,1023) yields a new equation:
% 17.73/4.59 | (1028) all_530_0_107 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1028 yields:
% 17.73/4.59 | (1029) all_530_0_107 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1026,1029) yields a new equation:
% 17.73/4.59 | (1030) all_524_1_103 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1030 yields:
% 17.73/4.59 | (1031) all_524_1_103 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1027,1031) yields a new equation:
% 17.73/4.59 | (1032) all_516_0_97 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1032 yields:
% 17.73/4.59 | (1033) all_516_0_97 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1010,1011) yields a new equation:
% 17.73/4.59 | (1034) all_514_1_96 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1034 yields:
% 17.73/4.59 | (1035) all_514_1_96 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (968,1033) yields a new equation:
% 17.73/4.59 | (1036) all_514_1_96 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Simplifying 1036 yields:
% 17.73/4.59 | (1037) all_514_1_96 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1037,966) yields a new equation:
% 17.73/4.59 | (1038) all_510_1_92 = all_508_0_90
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1035,966) yields a new equation:
% 17.73/4.59 | (1039) all_510_1_92 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1039,1038) yields a new equation:
% 17.73/4.59 | (1040) all_508_0_90 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1040,1038) yields a new equation:
% 17.73/4.59 | (1039) all_510_1_92 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1040,1031) yields a new equation:
% 17.73/4.59 | (1042) all_524_1_103 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1040,1029) yields a new equation:
% 17.73/4.59 | (1043) all_530_0_107 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1040,1023) yields a new equation:
% 17.73/4.59 | (1044) all_532_0_108 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1042,1019) yields a new equation:
% 17.73/4.59 | (1045) all_534_1_110 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1044,1022) yields a new equation:
% 17.73/4.59 | (1046) all_542_0_114 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1046,972) yields a new equation:
% 17.73/4.59 | (1047) all_544_1_116 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1042,1017) yields a new equation:
% 17.73/4.59 | (1048) all_550_1_120 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1048,1015) yields a new equation:
% 17.73/4.59 | (1049) all_552_1_122 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1048,1013) yields a new equation:
% 17.73/4.59 | (1050) all_554_1_124 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1048,1003) yields a new equation:
% 17.73/4.59 | (1051) all_558_1_127 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1042,1006) yields a new equation:
% 17.73/4.59 | (1052) all_562_1_130 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1052,999) yields a new equation:
% 17.73/4.59 | (1053) all_576_1_139 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1048,1001) yields a new equation:
% 17.73/4.59 | (1054) all_578_0_140 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1054,987) yields a new equation:
% 17.73/4.59 | (1055) all_580_0_141 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1052,984) yields a new equation:
% 17.73/4.59 | (1056) all_582_0_142 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1053,942) yields a new equation:
% 17.73/4.59 | (1057) all_584_1_144 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1050,991) yields a new equation:
% 17.73/4.59 | (1058) all_586_1_146 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1055,940) yields a new equation:
% 17.73/4.59 | (1059) all_594_1_152 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1054,941) yields a new equation:
% 17.73/4.59 | (1060) all_596_0_153 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1048,952) yields a new equation:
% 17.73/4.59 | (1061) all_600_1_157 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1052,944) yields a new equation:
% 17.73/4.59 | (1062) all_606_0_161 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | Combining equations (1046,954) yields a new equation:
% 17.73/4.59 | (1063) all_608_1_163 = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 | From (1040) and (684) follows:
% 17.73/4.59 | (37) u1_struct_0(all_0_15_15) = all_0_14_14
% 17.73/4.59 |
% 17.73/4.59 +-Applying beta-rule and splitting (715), into two cases.
% 17.73/4.59 |-Branch one:
% 17.73/4.59 | (1065) ~ m1_subset_1(all_226_0_50, all_530_0_107)
% 17.73/4.59 |
% 17.73/4.59 | From (1043) and (1065) follows:
% 17.73/4.59 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.73/4.59 |
% 17.73/4.59 | Using (433) and (1066) yields:
% 17.73/4.59 | (270) $false
% 17.73/4.59 |
% 17.73/4.59 |-The branch is then unsatisfiable
% 17.73/4.59 |-Branch two:
% 17.73/4.59 | (1068) m1_subset_1(all_226_0_50, all_530_0_107)
% 17.73/4.59 | (1069) ~ m1_subset_1(all_226_1_51, all_530_0_107) | m1_subset_1(all_348_0_70, all_530_0_107)
% 17.73/4.59 |
% 17.73/4.59 | From (1043) and (1068) follows:
% 17.83/4.59 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.59 |
% 17.83/4.59 +-Applying beta-rule and splitting (753), into two cases.
% 17.83/4.59 |-Branch one:
% 17.83/4.59 | (1071) ~ m1_subset_1(all_226_0_50, all_554_1_124)
% 17.83/4.59 |
% 17.83/4.59 | From (1050) and (1071) follows:
% 17.83/4.59 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.59 |
% 17.83/4.59 | Using (433) and (1066) yields:
% 17.83/4.59 | (270) $false
% 17.83/4.59 |
% 17.83/4.59 |-The branch is then unsatisfiable
% 17.83/4.59 |-Branch two:
% 17.83/4.59 | (1074) m1_subset_1(all_226_0_50, all_554_1_124)
% 17.83/4.59 | (1075) all_554_0_123 = all_364_0_79 | ~ m1_subset_1(all_226_3_53, all_554_1_124)
% 17.83/4.59 |
% 17.83/4.59 | From (1050) and (1074) follows:
% 17.83/4.59 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.59 |
% 17.83/4.59 +-Applying beta-rule and splitting (794), into two cases.
% 17.83/4.59 |-Branch one:
% 17.83/4.59 | (1077) ~ m1_subset_1(all_226_0_50, all_580_0_141)
% 17.83/4.59 |
% 17.83/4.59 | From (1055) and (1077) follows:
% 17.83/4.59 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.59 |
% 17.83/4.59 | Using (433) and (1066) yields:
% 17.83/4.59 | (270) $false
% 17.83/4.59 |
% 17.83/4.59 |-The branch is then unsatisfiable
% 17.83/4.59 |-Branch two:
% 17.83/4.59 | (1080) m1_subset_1(all_226_0_50, all_580_0_141)
% 17.83/4.59 | (1081) ~ m1_subset_1(all_226_3_53, all_580_0_141) | m1_subset_1(all_364_0_79, all_580_0_141)
% 17.83/4.59 |
% 17.83/4.59 | From (1055) and (1080) follows:
% 17.83/4.59 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.59 |
% 17.83/4.59 +-Applying beta-rule and splitting (1075), into two cases.
% 17.83/4.59 |-Branch one:
% 17.83/4.59 | (1083) ~ m1_subset_1(all_226_3_53, all_554_1_124)
% 17.83/4.59 |
% 17.83/4.60 | From (1050) and (1083) follows:
% 17.83/4.60 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (275) and (388) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1086) m1_subset_1(all_226_3_53, all_554_1_124)
% 17.83/4.60 | (1087) all_554_0_123 = all_364_0_79
% 17.83/4.60 |
% 17.83/4.60 | From (1050) and (1086) follows:
% 17.83/4.60 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (1081), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1089) ~ m1_subset_1(all_226_3_53, all_580_0_141)
% 17.83/4.60 |
% 17.83/4.60 | From (1055) and (1089) follows:
% 17.83/4.60 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (275) and (388) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1092) m1_subset_1(all_226_3_53, all_580_0_141)
% 17.83/4.60 | (1093) m1_subset_1(all_364_0_79, all_580_0_141)
% 17.83/4.60 |
% 17.83/4.60 | From (1055) and (1092) follows:
% 17.83/4.60 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (689), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1095) ~ m1_subset_1(all_226_1_51, all_510_1_92)
% 17.83/4.60 |
% 17.83/4.60 | From (1039) and (1095) follows:
% 17.83/4.60 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (452) and (1096) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1098) m1_subset_1(all_226_1_51, all_510_1_92)
% 17.83/4.60 | (1099) all_510_0_91 = all_346_0_69
% 17.83/4.60 |
% 17.83/4.60 | From (1039) and (1098) follows:
% 17.83/4.60 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (761), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1101) ~ m1_subset_1(all_226_0_50, all_558_1_127)
% 17.83/4.60 |
% 17.83/4.60 | From (1051) and (1101) follows:
% 17.83/4.60 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (433) and (1066) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1104) m1_subset_1(all_226_0_50, all_558_1_127)
% 17.83/4.60 | (1105) all_558_0_126 = all_370_0_82 | ~ m1_subset_1(all_226_2_52, all_558_1_127)
% 17.83/4.60 |
% 17.83/4.60 | From (1051) and (1104) follows:
% 17.83/4.60 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (1105), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1107) ~ m1_subset_1(all_226_2_52, all_558_1_127)
% 17.83/4.60 |
% 17.83/4.60 | From (1051) and (1107) follows:
% 17.83/4.60 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (276) and (382) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1110) m1_subset_1(all_226_2_52, all_558_1_127)
% 17.83/4.60 | (1111) all_558_0_126 = all_370_0_82
% 17.83/4.60 |
% 17.83/4.60 | From (1111) and (759) follows:
% 17.83/4.60 | (1112) k2_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_370_0_82
% 17.83/4.60 |
% 17.83/4.60 | From (1051) and (1110) follows:
% 17.83/4.60 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (708), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1114) ~ m1_subset_1(all_226_0_50, all_522_1_101)
% 17.83/4.60 |
% 17.83/4.60 | From (1011) and (1114) follows:
% 17.83/4.60 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (433) and (1066) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1117) m1_subset_1(all_226_0_50, all_522_1_101)
% 17.83/4.60 | (1118) all_522_0_100 = all_368_0_81 | ~ m1_subset_1(all_226_3_53, all_522_1_101)
% 17.83/4.60 |
% 17.83/4.60 | From (1011) and (1117) follows:
% 17.83/4.60 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (1118), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1120) ~ m1_subset_1(all_226_3_53, all_522_1_101)
% 17.83/4.60 |
% 17.83/4.60 | From (1011) and (1120) follows:
% 17.83/4.60 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (275) and (388) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1123) m1_subset_1(all_226_3_53, all_522_1_101)
% 17.83/4.60 | (1124) all_522_0_100 = all_368_0_81
% 17.83/4.60 |
% 17.83/4.60 | From (1011) and (1123) follows:
% 17.83/4.60 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (722), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1126) ~ m1_subset_1(all_226_0_50, all_534_1_110)
% 17.83/4.60 |
% 17.83/4.60 | From (1045) and (1126) follows:
% 17.83/4.60 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (433) and (1066) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1129) m1_subset_1(all_226_0_50, all_534_1_110)
% 17.83/4.60 | (1130) all_534_0_109 = all_366_0_80 | ~ m1_subset_1(all_226_2_52, all_534_1_110)
% 17.83/4.60 |
% 17.83/4.60 | From (1045) and (1129) follows:
% 17.83/4.60 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (737), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1132) ~ m1_subset_1(all_226_1_51, all_544_1_116)
% 17.83/4.60 |
% 17.83/4.60 | From (1047) and (1132) follows:
% 17.83/4.60 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (452) and (1096) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1135) m1_subset_1(all_226_1_51, all_544_1_116)
% 17.83/4.60 | (1136) all_544_0_115 = all_352_0_73 | ~ m1_subset_1(all_226_3_53, all_544_1_116)
% 17.83/4.60 |
% 17.83/4.60 | From (1047) and (1135) follows:
% 17.83/4.60 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (745), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1138) ~ m1_subset_1(all_226_1_51, all_550_1_120)
% 17.83/4.60 |
% 17.83/4.60 | From (1048) and (1138) follows:
% 17.83/4.60 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (452) and (1096) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1141) m1_subset_1(all_226_1_51, all_550_1_120)
% 17.83/4.60 | (1142) all_550_0_119 = all_352_0_73 | ~ m1_subset_1(all_226_3_53, all_550_1_120)
% 17.83/4.60 |
% 17.83/4.60 | From (1048) and (1141) follows:
% 17.83/4.60 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (768), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1144) ~ m1_subset_1(all_226_1_51, all_562_1_130)
% 17.83/4.60 |
% 17.83/4.60 | From (1052) and (1144) follows:
% 17.83/4.60 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (452) and (1096) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1147) m1_subset_1(all_226_1_51, all_562_1_130)
% 17.83/4.60 | (1148) all_562_0_129 = all_360_0_77 | ~ m1_subset_1(all_226_3_53, all_562_1_130)
% 17.83/4.60 |
% 17.83/4.60 | From (1052) and (1147) follows:
% 17.83/4.60 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (1142), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1150) ~ m1_subset_1(all_226_3_53, all_550_1_120)
% 17.83/4.60 |
% 17.83/4.60 | From (1048) and (1150) follows:
% 17.83/4.60 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (275) and (388) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1153) m1_subset_1(all_226_3_53, all_550_1_120)
% 17.83/4.60 | (1154) all_550_0_119 = all_352_0_73
% 17.83/4.60 |
% 17.83/4.60 | From (1048) and (1153) follows:
% 17.83/4.60 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (1148), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1156) ~ m1_subset_1(all_226_3_53, all_562_1_130)
% 17.83/4.60 |
% 17.83/4.60 | From (1052) and (1156) follows:
% 17.83/4.60 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (275) and (388) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1159) m1_subset_1(all_226_3_53, all_562_1_130)
% 17.83/4.60 | (1160) all_562_0_129 = all_360_0_77
% 17.83/4.60 |
% 17.83/4.60 | From (1052) and (1159) follows:
% 17.83/4.60 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (797), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1162) ~ m1_subset_1(all_226_0_50, all_582_0_142)
% 17.83/4.60 |
% 17.83/4.60 | From (1056) and (1162) follows:
% 17.83/4.60 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (433) and (1066) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1165) m1_subset_1(all_226_0_50, all_582_0_142)
% 17.83/4.60 | (1166) ~ m1_subset_1(all_226_1_51, all_582_0_142) | m1_subset_1(all_358_0_76, all_582_0_142)
% 17.83/4.60 |
% 17.83/4.60 | From (1056) and (1165) follows:
% 17.83/4.60 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (820), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1168) ~ m1_subset_1(all_226_0_50, all_596_0_153)
% 17.83/4.60 |
% 17.83/4.60 | From (1060) and (1168) follows:
% 17.83/4.60 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (433) and (1066) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1171) m1_subset_1(all_226_0_50, all_596_0_153)
% 17.83/4.60 | (1172) m1_subset_1(all_362_0_78, all_596_0_153)
% 17.83/4.60 |
% 17.83/4.60 | From (1060) and (1171) follows:
% 17.83/4.60 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 +-Applying beta-rule and splitting (828), into two cases.
% 17.83/4.60 |-Branch one:
% 17.83/4.60 | (1174) ~ m1_subset_1(all_226_1_51, all_600_1_157)
% 17.83/4.60 |
% 17.83/4.60 | From (1061) and (1174) follows:
% 17.83/4.60 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.60 |
% 17.83/4.60 | Using (452) and (1096) yields:
% 17.83/4.60 | (270) $false
% 17.83/4.60 |
% 17.83/4.60 |-The branch is then unsatisfiable
% 17.83/4.60 |-Branch two:
% 17.83/4.60 | (1177) m1_subset_1(all_226_1_51, all_600_1_157)
% 17.83/4.60 | (1178) all_600_0_156 = all_354_0_74 | ~ m1_subset_1(all_226_2_52, all_600_1_157)
% 17.83/4.60 |
% 17.83/4.60 | From (1061) and (1177) follows:
% 17.83/4.61 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (1069), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1180) ~ m1_subset_1(all_226_1_51, all_530_0_107)
% 17.83/4.61 |
% 17.83/4.61 | From (1043) and (1180) follows:
% 17.83/4.61 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (452) and (1096) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1183) m1_subset_1(all_226_1_51, all_530_0_107)
% 17.83/4.61 | (1184) m1_subset_1(all_348_0_70, all_530_0_107)
% 17.83/4.61 |
% 17.83/4.61 | From (1043) and (1183) follows:
% 17.83/4.61 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (1178), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1186) ~ m1_subset_1(all_226_2_52, all_600_1_157)
% 17.83/4.61 |
% 17.83/4.61 | From (1061) and (1186) follows:
% 17.83/4.61 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (276) and (382) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1189) m1_subset_1(all_226_2_52, all_600_1_157)
% 17.83/4.61 | (1190) all_600_0_156 = all_354_0_74
% 17.83/4.61 |
% 17.83/4.61 | From (1061) and (1189) follows:
% 17.83/4.61 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (817), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1192) ~ m1_subset_1(all_226_0_50, all_594_1_152)
% 17.83/4.61 |
% 17.83/4.61 | From (1059) and (1192) follows:
% 17.83/4.61 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (433) and (1066) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1195) m1_subset_1(all_226_0_50, all_594_1_152)
% 17.83/4.61 | (1196) all_594_0_151 = all_358_0_76 | ~ m1_subset_1(all_226_1_51, all_594_1_152)
% 17.83/4.61 |
% 17.83/4.61 | From (1059) and (1195) follows:
% 17.83/4.61 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (718), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1198) ~ m1_subset_1(all_226_0_50, all_532_0_108)
% 17.83/4.61 |
% 17.83/4.61 | From (1044) and (1198) follows:
% 17.83/4.61 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (433) and (1066) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1201) m1_subset_1(all_226_0_50, all_532_0_108)
% 17.83/4.61 | (1202) ~ m1_subset_1(all_226_2_52, all_532_0_108) | m1_subset_1(all_366_0_80, all_532_0_108)
% 17.83/4.61 |
% 17.83/4.61 | From (1044) and (1201) follows:
% 17.83/4.61 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (838), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1204) ~ m1_subset_1(all_226_0_50, all_606_0_161)
% 17.83/4.61 |
% 17.83/4.61 | From (1062) and (1204) follows:
% 17.83/4.61 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (433) and (1066) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1207) m1_subset_1(all_226_0_50, all_606_0_161)
% 17.83/4.61 | (1208) ~ m1_subset_1(all_226_2_52, all_606_0_161) | m1_subset_1(all_370_0_82, all_606_0_161)
% 17.83/4.61 |
% 17.83/4.61 | From (1062) and (1207) follows:
% 17.83/4.61 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (805), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1210) ~ m1_subset_1(all_226_0_50, all_586_1_146)
% 17.83/4.61 |
% 17.83/4.61 | From (1058) and (1210) follows:
% 17.83/4.61 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (433) and (1066) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1213) m1_subset_1(all_226_0_50, all_586_1_146)
% 17.83/4.61 | (1214) all_586_0_145 = all_366_0_80 | ~ m1_subset_1(all_226_2_52, all_586_1_146)
% 17.83/4.61 |
% 17.83/4.61 | From (1058) and (1213) follows:
% 17.83/4.61 | (433) m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (1130), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1216) ~ m1_subset_1(all_226_2_52, all_534_1_110)
% 17.83/4.61 |
% 17.83/4.61 | From (1045) and (1216) follows:
% 17.83/4.61 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (276) and (382) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1219) m1_subset_1(all_226_2_52, all_534_1_110)
% 17.83/4.61 | (1220) all_534_0_109 = all_366_0_80
% 17.83/4.61 |
% 17.83/4.61 | Combining equations (931,1220) yields a new equation:
% 17.83/4.61 | (1221) all_370_0_82 = all_366_0_80
% 17.83/4.61 |
% 17.83/4.61 | Simplifying 1221 yields:
% 17.83/4.61 | (1222) all_370_0_82 = all_366_0_80
% 17.83/4.61 |
% 17.83/4.61 | From (1222) and (1112) follows:
% 17.83/4.61 | (1223) k2_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_366_0_80
% 17.83/4.61 |
% 17.83/4.61 | From (1045) and (1219) follows:
% 17.83/4.61 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | From (1222) and (574) follows:
% 17.83/4.61 | (1225) ~ r2_hidden(all_366_0_80, all_0_12_12)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (1202), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1226) ~ m1_subset_1(all_226_2_52, all_532_0_108)
% 17.83/4.61 |
% 17.83/4.61 | From (1044) and (1226) follows:
% 17.83/4.61 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (276) and (382) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1229) m1_subset_1(all_226_2_52, all_532_0_108)
% 17.83/4.61 | (1230) m1_subset_1(all_366_0_80, all_532_0_108)
% 17.83/4.61 |
% 17.83/4.61 | From (1044) and (1229) follows:
% 17.83/4.61 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (1214), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1232) ~ m1_subset_1(all_226_2_52, all_586_1_146)
% 17.83/4.61 |
% 17.83/4.61 | From (1058) and (1232) follows:
% 17.83/4.61 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (276) and (382) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1235) m1_subset_1(all_226_2_52, all_586_1_146)
% 17.83/4.61 | (1236) all_586_0_145 = all_366_0_80
% 17.83/4.61 |
% 17.83/4.61 | From (1058) and (1235) follows:
% 17.83/4.61 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (1136), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1238) ~ m1_subset_1(all_226_3_53, all_544_1_116)
% 17.83/4.61 |
% 17.83/4.61 | From (1047) and (1238) follows:
% 17.83/4.61 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (275) and (388) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1241) m1_subset_1(all_226_3_53, all_544_1_116)
% 17.83/4.61 | (1242) all_544_0_115 = all_352_0_73
% 17.83/4.61 |
% 17.83/4.61 | From (1047) and (1241) follows:
% 17.83/4.61 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (749), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1244) ~ m1_subset_1(all_226_0_50, all_552_1_122)
% 17.83/4.61 |
% 17.83/4.61 | From (1049) and (1244) follows:
% 17.83/4.61 | (1066) ~ m1_subset_1(all_226_0_50, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (433) and (1066) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1247) m1_subset_1(all_226_0_50, all_552_1_122)
% 17.83/4.61 | (1248) all_552_0_121 = all_364_0_79 | ~ m1_subset_1(all_226_3_53, all_552_1_122)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (1196), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1249) ~ m1_subset_1(all_226_1_51, all_594_1_152)
% 17.83/4.61 |
% 17.83/4.61 | From (1059) and (1249) follows:
% 17.83/4.61 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (452) and (1096) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1252) m1_subset_1(all_226_1_51, all_594_1_152)
% 17.83/4.61 | (1253) all_594_0_151 = all_358_0_76
% 17.83/4.61 |
% 17.83/4.61 | From (1059) and (1252) follows:
% 17.83/4.61 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (1166), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1255) ~ m1_subset_1(all_226_1_51, all_582_0_142)
% 17.83/4.61 |
% 17.83/4.61 | From (1056) and (1255) follows:
% 17.83/4.61 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (452) and (1096) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1258) m1_subset_1(all_226_1_51, all_582_0_142)
% 17.83/4.61 | (1259) m1_subset_1(all_358_0_76, all_582_0_142)
% 17.83/4.61 |
% 17.83/4.61 | From (1056) and (1258) follows:
% 17.83/4.61 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (1248), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1261) ~ m1_subset_1(all_226_3_53, all_552_1_122)
% 17.83/4.61 |
% 17.83/4.61 | From (1049) and (1261) follows:
% 17.83/4.61 | (388) ~ m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 | Using (275) and (388) yields:
% 17.83/4.61 | (270) $false
% 17.83/4.61 |
% 17.83/4.61 |-The branch is then unsatisfiable
% 17.83/4.61 |-Branch two:
% 17.83/4.61 | (1264) m1_subset_1(all_226_3_53, all_552_1_122)
% 17.83/4.61 | (1265) all_552_0_121 = all_364_0_79
% 17.83/4.61 |
% 17.83/4.61 | From (1049) and (1264) follows:
% 17.83/4.61 | (275) m1_subset_1(all_226_3_53, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.61 +-Applying beta-rule and splitting (842), into two cases.
% 17.83/4.61 |-Branch one:
% 17.83/4.61 | (1267) ~ m1_subset_1(all_226_1_51, all_608_1_163)
% 17.83/4.61 |
% 17.83/4.61 | From (1063) and (1267) follows:
% 17.83/4.61 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.61 |
% 17.83/4.62 | Using (452) and (1096) yields:
% 17.83/4.62 | (270) $false
% 17.83/4.62 |
% 17.83/4.62 |-The branch is then unsatisfiable
% 17.83/4.62 |-Branch two:
% 17.83/4.62 | (1270) m1_subset_1(all_226_1_51, all_608_1_163)
% 17.83/4.62 | (1271) all_608_0_162 = all_344_0_68 | ~ m1_subset_1(all_226_2_52, all_608_1_163)
% 17.83/4.62 |
% 17.83/4.62 | From (1063) and (1270) follows:
% 17.83/4.62 | (452) m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.62 |
% 17.83/4.62 +-Applying beta-rule and splitting (1271), into two cases.
% 17.83/4.62 |-Branch one:
% 17.83/4.62 | (1273) ~ m1_subset_1(all_226_2_52, all_608_1_163)
% 17.83/4.62 |
% 17.83/4.62 | From (1063) and (1273) follows:
% 17.83/4.62 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.62 |
% 17.83/4.62 | Using (276) and (382) yields:
% 17.83/4.62 | (270) $false
% 17.83/4.62 |
% 17.83/4.62 |-The branch is then unsatisfiable
% 17.83/4.62 |-Branch two:
% 17.83/4.62 | (1276) m1_subset_1(all_226_2_52, all_608_1_163)
% 17.83/4.62 | (1277) all_608_0_162 = all_344_0_68
% 17.83/4.62 |
% 17.83/4.62 | From (1063) and (1276) follows:
% 17.83/4.62 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.62 |
% 17.83/4.62 +-Applying beta-rule and splitting (801), into two cases.
% 17.83/4.62 |-Branch one:
% 17.83/4.62 | (1279) ~ m1_subset_1(all_226_1_51, all_584_1_144)
% 17.83/4.62 |
% 17.83/4.62 | From (1057) and (1279) follows:
% 17.83/4.62 | (1096) ~ m1_subset_1(all_226_1_51, all_0_14_14)
% 17.83/4.62 |
% 17.83/4.62 | Using (452) and (1096) yields:
% 17.83/4.62 | (270) $false
% 17.83/4.62 |
% 17.83/4.62 |-The branch is then unsatisfiable
% 17.83/4.62 |-Branch two:
% 17.83/4.62 | (1282) m1_subset_1(all_226_1_51, all_584_1_144)
% 17.83/4.62 | (1283) all_584_0_143 = all_354_0_74 | ~ m1_subset_1(all_226_2_52, all_584_1_144)
% 17.83/4.62 |
% 17.83/4.62 +-Applying beta-rule and splitting (1283), into two cases.
% 17.83/4.62 |-Branch one:
% 17.83/4.62 | (1284) ~ m1_subset_1(all_226_2_52, all_584_1_144)
% 17.83/4.62 |
% 17.83/4.62 | From (1057) and (1284) follows:
% 17.83/4.62 | (382) ~ m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.62 |
% 17.83/4.62 | Using (276) and (382) yields:
% 17.83/4.62 | (270) $false
% 17.83/4.62 |
% 17.83/4.62 |-The branch is then unsatisfiable
% 17.83/4.62 |-Branch two:
% 17.83/4.62 | (1287) m1_subset_1(all_226_2_52, all_584_1_144)
% 17.83/4.62 | (1288) all_584_0_143 = all_354_0_74
% 17.83/4.62 |
% 17.83/4.62 | From (1057) and (1287) follows:
% 17.83/4.62 | (276) m1_subset_1(all_226_2_52, all_0_14_14)
% 17.83/4.62 |
% 17.83/4.62 | Instantiating formula (66) with all_366_0_80, all_226_0_50, all_226_3_53, all_226_2_52, all_0_14_14, all_0_15_15 and discharging atoms k2_lattices(all_0_15_15, all_226_2_52, all_226_0_50) = all_366_0_80, k1_lattices(all_0_15_15, all_226_2_52, all_226_3_53) = all_226_0_50, u1_struct_0(all_0_15_15) = all_0_14_14, v9_lattices(all_0_15_15), m1_subset_1(all_226_2_52, all_0_14_14), m1_subset_1(all_226_3_53, all_0_14_14), l3_lattices(all_0_15_15), ~ v3_struct_0(all_0_15_15), yields:
% 17.83/4.62 | (1290) all_366_0_80 = all_226_2_52
% 17.83/4.62 |
% 17.83/4.62 | From (1290) and (1225) follows:
% 17.83/4.62 | (334) ~ r2_hidden(all_226_2_52, all_0_12_12)
% 17.83/4.62 |
% 17.83/4.62 | Using (280) and (334) yields:
% 17.83/4.62 | (270) $false
% 17.83/4.62 |
% 17.83/4.62 |-The branch is then unsatisfiable
% 17.83/4.62 |-Branch two:
% 17.83/4.62 | (1293) r2_hidden(all_370_0_82, all_0_12_12)
% 17.83/4.62 | (1294) r2_hidden(all_226_0_50, all_0_12_12) & r2_hidden(all_226_2_52, all_0_12_12)
% 17.83/4.62 |
% 17.83/4.62 | Applying alpha-rule on (1294) yields:
% 17.83/4.62 | (1295) r2_hidden(all_226_0_50, all_0_12_12)
% 17.83/4.62 | (280) r2_hidden(all_226_2_52, all_0_12_12)
% 17.83/4.62 |
% 17.83/4.62 | Using (1295) and (394) yields:
% 17.83/4.62 | (270) $false
% 17.83/4.62 |
% 17.83/4.62 |-The branch is then unsatisfiable
% 17.83/4.62 |-Branch two:
% 17.83/4.62 | (1295) r2_hidden(all_226_0_50, all_0_12_12)
% 17.83/4.62 | (550) ~ r2_hidden(all_226_1_51, all_0_12_12)
% 17.83/4.62 |
% 17.83/4.62 | Using (380) and (550) yields:
% 17.83/4.62 | (270) $false
% 17.83/4.62 |
% 17.83/4.62 |-The branch is then unsatisfiable
% 17.83/4.62 % SZS output end Proof for theBenchmark
% 17.83/4.62
% 17.83/4.62 4023ms
%------------------------------------------------------------------------------