TSTP Solution File: LAT319+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 04:32:58 EDT 2022
% Result : Theorem 6.68s 2.16s
% Output : Proof 10.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.32 % Computer : n021.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 30 01:54:57 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.59 ____ _
% 0.17/0.59 ___ / __ \_____(_)___ ________ __________
% 0.17/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.17/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.17/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.17/0.59
% 0.17/0.59 A Theorem Prover for First-Order Logic
% 0.17/0.59 (ePrincess v.1.0)
% 0.17/0.59
% 0.17/0.59 (c) Philipp Rümmer, 2009-2015
% 0.17/0.59 (c) Peter Backeman, 2014-2015
% 0.17/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.17/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.17/0.59 Bug reports to peter@backeman.se
% 0.17/0.59
% 0.17/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.17/0.59
% 0.17/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.70/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.00/1.05 Prover 0: Preprocessing ...
% 3.82/1.47 Prover 0: Warning: ignoring some quantifiers
% 3.82/1.50 Prover 0: Constructing countermodel ...
% 6.68/2.16 Prover 0: proved (1515ms)
% 6.68/2.16
% 6.68/2.16 No countermodel exists, formula is valid
% 6.68/2.16 % SZS status Theorem for theBenchmark
% 6.68/2.16
% 6.68/2.16 Generating proof ... Warning: ignoring some quantifiers
% 9.62/2.80 found it (size 44)
% 9.62/2.80
% 9.62/2.80 % SZS output start Proof for theBenchmark
% 9.62/2.80 Assumed formulas after preprocessing and simplification:
% 9.62/2.80 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (k1_lattice2(v0) = v1 & l2_lattices(v16) & l1_struct_0(v17) & l1_struct_0(v4) & l1_lattices(v18) & v12_lattices(v14) & v16_lattices(v12) & v16_lattices(v11) & v11_lattices(v14) & v11_lattices(v11) & v15_lattices(v13) & v15_lattices(v12) & v15_lattices(v11) & v14_lattices(v14) & v14_lattices(v13) & v14_lattices(v12) & v14_lattices(v11) & v13_lattices(v14) & v13_lattices(v13) & v13_lattices(v12) & v13_lattices(v11) & v2_funct_1(v6) & v1_relat_1(v10) & v1_relat_1(v8) & v1_relat_1(v6) & v9_lattices(v14) & v9_lattices(v13) & v9_lattices(v12) & v9_lattices(v11) & v9_lattices(v2) & v8_lattices(v14) & v8_lattices(v13) & v8_lattices(v12) & v8_lattices(v11) & v8_lattices(v2) & v7_lattices(v14) & v7_lattices(v13) & v7_lattices(v12) & v7_lattices(v11) & v7_lattices(v2) & v6_lattices(v14) & v6_lattices(v13) & v6_lattices(v12) & v6_lattices(v11) & v6_lattices(v2) & v5_lattices(v14) & v5_lattices(v13) & v5_lattices(v12) & v5_lattices(v11) & v5_lattices(v2) & v4_lattices(v14) & v4_lattices(v13) & v4_lattices(v12) & v4_lattices(v11) & v4_lattices(v2) & v1_funct_1(v10) & v1_funct_1(v8) & v1_funct_1(v6) & v1_xboole_0(v9) & v1_xboole_0(v8) & v1_xboole_0(k1_xboole_0) & v3_lattices(v14) & v3_lattices(v13) & v3_lattices(v12) & v3_lattices(v11) & v3_lattices(v5) & v3_lattices(v3) & v3_lattices(v2) & v17_lattices(v11) & l3_lattices(v15) & l3_lattices(v14) & l3_lattices(v13) & l3_lattices(v12) & l3_lattices(v11) & l3_lattices(v5) & l3_lattices(v3) & l3_lattices(v2) & l3_lattices(v0) & v10_lattices(v14) & v10_lattices(v13) & v10_lattices(v12) & v10_lattices(v11) & v10_lattices(v2) & v10_lattices(v0) & ~ v1_xboole_0(v7) & ~ v3_struct_0(v14) & ~ v3_struct_0(v13) & ~ v3_struct_0(v12) & ~ v3_struct_0(v11) & ~ v3_struct_0(v4) & ~ v3_struct_0(v3) & ~ v3_struct_0(v2) & ~ v3_struct_0(v0) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v21 | ~ (g3_lattices(v23, v24, v25) = v22) | ~ (g3_lattices(v19, v20, v21) = v22) | ~ v1_funct_1(v21) | ~ v1_funct_1(v20) | ? [v26] : (k2_zfmisc_1(v19, v19) = v26 & ( ~ m1_relset_1(v21, v26, v19) | ~ m1_relset_1(v20, v26, v19) | ~ v1_funct_2(v21, v26, v19) | ~ v1_funct_2(v20, v26, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v24 = v20 | ~ (g3_lattices(v23, v24, v25) = v22) | ~ (g3_lattices(v19, v20, v21) = v22) | ~ v1_funct_1(v21) | ~ v1_funct_1(v20) | ? [v26] : (k2_zfmisc_1(v19, v19) = v26 & ( ~ m1_relset_1(v21, v26, v19) | ~ m1_relset_1(v20, v26, v19) | ~ v1_funct_2(v21, v26, v19) | ~ v1_funct_2(v20, v26, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v23 = v19 | ~ (g3_lattices(v23, v24, v25) = v22) | ~ (g3_lattices(v19, v20, v21) = v22) | ~ v1_funct_1(v21) | ~ v1_funct_1(v20) | ? [v26] : (k2_zfmisc_1(v19, v19) = v26 & ( ~ m1_relset_1(v21, v26, v19) | ~ m1_relset_1(v20, v26, v19) | ~ v1_funct_2(v21, v26, v19) | ~ v1_funct_2(v20, v26, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v19 | ~ (u1_struct_0(v19) = v20) | ~ (u2_lattices(v19) = v21) | ~ (u1_lattices(v19) = v22) | ~ (g3_lattices(v20, v21, v22) = v23) | ~ v3_lattices(v19) | ~ l3_lattices(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (g3_lattices(v23, v22, v21) = v20) | ~ (g3_lattices(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (u1_struct_0(v19) = v20) | ~ (u2_lattices(v19) = v22) | ~ (u1_lattices(v19) = v21) | ~ (g3_lattices(v20, v21, v22) = v23) | ~ l3_lattices(v19) | k1_lattice2(v19) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (k2_zfmisc_1(v22, v21) = v20) | ~ (k2_zfmisc_1(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_zfmisc_1(v19, v20) = v22) | ~ m2_relset_1(v21, v19, v20) | ? [v23] : (k1_zfmisc_1(v22) = v23 & m1_subset_1(v21, v23))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k1_zfmisc_1(v21) = v22) | ~ m1_subset_1(v20, v22) | ~ v1_xboole_0(v21) | ~ r2_hidden(v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k1_zfmisc_1(v21) = v22) | ~ m1_subset_1(v20, v22) | ~ r2_hidden(v19, v20) | m1_subset_1(v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (g3_lattices(v19, v20, v21) = v22) | ~ v1_funct_1(v21) | ~ v1_funct_1(v20) | ~ v3_struct_0(v22) | v1_xboole_0(v19) | ? [v23] : (k2_zfmisc_1(v19, v19) = v23 & ( ~ m1_relset_1(v21, v23, v19) | ~ m1_relset_1(v20, v23, v19) | ~ v1_funct_2(v21, v23, v19) | ~ v1_funct_2(v20, v23, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (g3_lattices(v19, v20, v21) = v22) | ~ v1_funct_1(v21) | ~ v1_funct_1(v20) | v1_xboole_0(v19) | v3_lattices(v22) | ? [v23] : (k2_zfmisc_1(v19, v19) = v23 & ( ~ m1_relset_1(v21, v23, v19) | ~ m1_relset_1(v20, v23, v19) | ~ v1_funct_2(v21, v23, v19) | ~ v1_funct_2(v20, v23, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (g3_lattices(v19, v20, v21) = v22) | ~ v1_funct_1(v21) | ~ v1_funct_1(v20) | v3_lattices(v22) | ? [v23] : (k2_zfmisc_1(v19, v19) = v23 & ( ~ m1_relset_1(v21, v23, v19) | ~ m1_relset_1(v20, v23, v19) | ~ v1_funct_2(v21, v23, v19) | ~ v1_funct_2(v20, v23, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (g3_lattices(v19, v20, v21) = v22) | ~ v1_funct_1(v21) | ~ v1_funct_1(v20) | l3_lattices(v22) | ? [v23] : (k2_zfmisc_1(v19, v19) = v23 & ( ~ m1_relset_1(v21, v23, v19) | ~ m1_relset_1(v20, v23, v19) | ~ v1_funct_2(v21, v23, v19) | ~ v1_funct_2(v20, v23, v19)))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (k2_zfmisc_1(v20, v21) = v22) | v1_relat_1(v19) | ? [v23] : (k1_zfmisc_1(v22) = v23 & ~ m1_subset_1(v19, v23))) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k1_lattice2(v21) = v20) | ~ (k1_lattice2(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (k1_zfmisc_1(v21) = v20) | ~ (k1_zfmisc_1(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (u1_struct_0(v21) = v20) | ~ (u1_struct_0(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (u2_lattices(v21) = v20) | ~ (u2_lattices(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (u1_lattices(v21) = v20) | ~ (u1_lattices(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v20, v20) = v21) | ~ (u1_struct_0(v19) = v20) | ~ l2_lattices(v19) | ~ v5_lattices(v19) | v3_struct_0(v19) | ? [v22] : (u2_lattices(v19) = v22 & v2_binop_1(v22, v20) & v1_partfun1(v22, v21, v20) & v1_funct_2(v22, v21, v20) & v1_relat_1(v22) & v1_funct_1(v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v20, v20) = v21) | ~ (u1_struct_0(v19) = v20) | ~ l2_lattices(v19) | ~ v4_lattices(v19) | v3_struct_0(v19) | ? [v22] : (u2_lattices(v19) = v22 & v1_partfun1(v22, v21, v20) & v1_binop_1(v22, v20) & v1_funct_2(v22, v21, v20) & v1_relat_1(v22) & v1_funct_1(v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v20, v20) = v21) | ~ (u1_struct_0(v19) = v20) | ~ l2_lattices(v19) | ? [v22] : (u2_lattices(v19) = v22 & m2_relset_1(v22, v21, v20) & v1_funct_2(v22, v21, v20) & v1_funct_1(v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v20, v20) = v21) | ~ (u1_struct_0(v19) = v20) | ~ l1_lattices(v19) | ~ v7_lattices(v19) | v3_struct_0(v19) | ? [v22] : (u1_lattices(v19) = v22 & v2_binop_1(v22, v20) & v1_partfun1(v22, v21, v20) & v1_funct_2(v22, v21, v20) & v1_relat_1(v22) & v1_funct_1(v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v20, v20) = v21) | ~ (u1_struct_0(v19) = v20) | ~ l1_lattices(v19) | ~ v6_lattices(v19) | v3_struct_0(v19) | ? [v22] : (u1_lattices(v19) = v22 & v1_partfun1(v22, v21, v20) & v1_binop_1(v22, v20) & v1_funct_2(v22, v21, v20) & v1_relat_1(v22) & v1_funct_1(v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v20, v20) = v21) | ~ (u1_struct_0(v19) = v20) | ~ l1_lattices(v19) | ? [v22] : (u1_lattices(v19) = v22 & m2_relset_1(v22, v21, v20) & v1_funct_2(v22, v21, v20) & v1_funct_1(v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v19, v20) = v21) | ~ v1_xboole_0(v21) | v1_xboole_0(v20) | v1_xboole_0(v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) | ~ r1_tarski(v19, v20) | m1_subset_1(v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) | ~ m1_subset_1(v19, v21) | r1_tarski(v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ m2_relset_1(v21, v19, v20) | m1_relset_1(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ m1_relset_1(v21, v19, v20) | m2_relset_1(v21, v19, v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ v1_xboole_0(v20) | ~ v1_xboole_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v16_lattices(v20) | ~ v15_lattices(v20) | ~ l3_lattices(v20) | ~ l3_lattices(v19) | ~ v10_lattices(v20) | ~ v10_lattices(v19) | v16_lattices(v19) | v3_struct_0(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v16_lattices(v20) | ~ v15_lattices(v20) | ~ l3_lattices(v20) | ~ l3_lattices(v19) | ~ v10_lattices(v20) | ~ v10_lattices(v19) | v15_lattices(v19) | v3_struct_0(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v16_lattices(v19) | ~ v15_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | ~ v3_struct_0(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v16_lattices(v19) | ~ v15_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v16_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v16_lattices(v19) | ~ v15_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v15_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v16_lattices(v19) | ~ v15_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | l3_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v16_lattices(v19) | ~ v15_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v10_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v11_lattices(v20) | ~ l3_lattices(v20) | ~ l3_lattices(v19) | ~ v10_lattices(v20) | ~ v10_lattices(v19) | v11_lattices(v19) | v3_struct_0(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | ~ v3_struct_0(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v11_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | l3_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v10_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | ~ v3_struct_0(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v9_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v8_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v7_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v6_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v5_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v4_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v3_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v10_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ~ v3_struct_0(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | v3_lattices(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | v3_lattices(v20)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | l3_lattices(v20)) & ! [v19] : ! [v20] : ( ~ (k1_lattice2(v19) = v20) | ~ l3_lattices(v19) | ? [v21] : ? [v22] : ? [v23] : (u1_struct_0(v19) = v21 & u2_lattices(v19) = v23 & u1_lattices(v19) = v22 & g3_lattices(v21, v22, v23) = v20)) & ! [v19] : ! [v20] : ( ~ (k1_zfmisc_1(v19) = v20) | ~ v1_xboole_0(v20)) & ! [v19] : ! [v20] : ( ~ (k1_zfmisc_1(v19) = v20) | v1_xboole_0(v19) | ? [v21] : (m1_subset_1(v21, v20) & ~ v1_xboole_0(v21))) & ! [v19] : ! [v20] : ( ~ (k1_zfmisc_1(v19) = v20) | ? [v21] : (m1_subset_1(v21, v20) & v1_xboole_0(v21))) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l2_lattices(v19) | ~ v5_lattices(v19) | v3_struct_0(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v20, v20) = v22 & u2_lattices(v19) = v21 & v2_binop_1(v21, v20) & v1_partfun1(v21, v22, v20) & v1_funct_2(v21, v22, v20) & v1_relat_1(v21) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l2_lattices(v19) | ~ v4_lattices(v19) | v3_struct_0(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v20, v20) = v22 & u2_lattices(v19) = v21 & v1_partfun1(v21, v22, v20) & v1_binop_1(v21, v20) & v1_funct_2(v21, v22, v20) & v1_relat_1(v21) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l2_lattices(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v20, v20) = v22 & u2_lattices(v19) = v21 & m2_relset_1(v21, v22, v20) & v1_funct_2(v21, v22, v20) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l1_struct_0(v19) | ~ v1_xboole_0(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l1_struct_0(v19) | v3_struct_0(v19) | ? [v21] : ? [v22] : (k1_zfmisc_1(v20) = v21 & m1_subset_1(v22, v21) & ~ v1_xboole_0(v22))) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l1_lattices(v19) | ~ v7_lattices(v19) | v3_struct_0(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v20, v20) = v22 & u1_lattices(v19) = v21 & v2_binop_1(v21, v20) & v1_partfun1(v21, v22, v20) & v1_funct_2(v21, v22, v20) & v1_relat_1(v21) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l1_lattices(v19) | ~ v6_lattices(v19) | v3_struct_0(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v20, v20) = v22 & u1_lattices(v19) = v21 & v1_partfun1(v21, v22, v20) & v1_binop_1(v21, v20) & v1_funct_2(v21, v22, v20) & v1_relat_1(v21) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l1_lattices(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v20, v20) = v22 & u1_lattices(v19) = v21 & m2_relset_1(v21, v22, v20) & v1_funct_2(v21, v22, v20) & v1_funct_1(v21))) & ! [v19] : ! [v20] : ( ~ (u2_lattices(v19) = v20) | ~ l2_lattices(v19) | ~ v5_lattices(v19) | v1_relat_1(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (u2_lattices(v19) = v20) | ~ l2_lattices(v19) | ~ v5_lattices(v19) | v1_funct_1(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (u2_lattices(v19) = v20) | ~ l2_lattices(v19) | ~ v5_lattices(v19) | v3_struct_0(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v21, v21) = v22 & u1_struct_0(v19) = v21 & v2_binop_1(v20, v21) & v1_partfun1(v20, v22, v21) & v1_funct_2(v20, v22, v21))) & ! [v19] : ! [v20] : ( ~ (u2_lattices(v19) = v20) | ~ l2_lattices(v19) | ~ v4_lattices(v19) | v1_relat_1(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (u2_lattices(v19) = v20) | ~ l2_lattices(v19) | ~ v4_lattices(v19) | v1_funct_1(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (u2_lattices(v19) = v20) | ~ l2_lattices(v19) | ~ v4_lattices(v19) | v3_struct_0(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v21, v21) = v22 & u1_struct_0(v19) = v21 & v1_partfun1(v20, v22, v21) & v1_binop_1(v20, v21) & v1_funct_2(v20, v22, v21))) & ! [v19] : ! [v20] : ( ~ (u2_lattices(v19) = v20) | ~ l2_lattices(v19) | v1_funct_1(v20)) & ! [v19] : ! [v20] : ( ~ (u2_lattices(v19) = v20) | ~ l2_lattices(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v21, v21) = v22 & u1_struct_0(v19) = v21 & m2_relset_1(v20, v22, v21) & v1_funct_2(v20, v22, v21))) & ! [v19] : ! [v20] : ( ~ (u1_lattices(v19) = v20) | ~ l1_lattices(v19) | ~ v7_lattices(v19) | v1_relat_1(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (u1_lattices(v19) = v20) | ~ l1_lattices(v19) | ~ v7_lattices(v19) | v1_funct_1(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (u1_lattices(v19) = v20) | ~ l1_lattices(v19) | ~ v7_lattices(v19) | v3_struct_0(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v21, v21) = v22 & u1_struct_0(v19) = v21 & v2_binop_1(v20, v21) & v1_partfun1(v20, v22, v21) & v1_funct_2(v20, v22, v21))) & ! [v19] : ! [v20] : ( ~ (u1_lattices(v19) = v20) | ~ l1_lattices(v19) | ~ v6_lattices(v19) | v1_relat_1(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (u1_lattices(v19) = v20) | ~ l1_lattices(v19) | ~ v6_lattices(v19) | v1_funct_1(v20) | v3_struct_0(v19)) & ! [v19] : ! [v20] : ( ~ (u1_lattices(v19) = v20) | ~ l1_lattices(v19) | ~ v6_lattices(v19) | v3_struct_0(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v21, v21) = v22 & u1_struct_0(v19) = v21 & v1_partfun1(v20, v22, v21) & v1_binop_1(v20, v21) & v1_funct_2(v20, v22, v21))) & ! [v19] : ! [v20] : ( ~ (u1_lattices(v19) = v20) | ~ l1_lattices(v19) | v1_funct_1(v20)) & ! [v19] : ! [v20] : ( ~ (u1_lattices(v19) = v20) | ~ l1_lattices(v19) | ? [v21] : ? [v22] : (k2_zfmisc_1(v21, v21) = v22 & u1_struct_0(v19) = v21 & m2_relset_1(v20, v22, v21) & v1_funct_2(v20, v22, v21))) & ! [v19] : ! [v20] : ( ~ m1_subset_1(v19, v20) | v1_xboole_0(v20) | r2_hidden(v19, v20)) & ! [v19] : ! [v20] : ( ~ v1_xboole_0(v20) | ~ r2_hidden(v19, v20)) & ! [v19] : ! [v20] : ( ~ r2_hidden(v20, v19) | ~ r2_hidden(v19, v20)) & ! [v19] : ! [v20] : ( ~ r2_hidden(v19, v20) | m1_subset_1(v19, v20)) & ! [v19] : (v19 = k1_xboole_0 | ~ v1_xboole_0(v19)) & ! [v19] : ( ~ l2_lattices(v19) | l1_struct_0(v19)) & ! [v19] : ( ~ l1_lattices(v19) | l1_struct_0(v19)) & ! [v19] : ( ~ v16_lattices(v19) | ~ v11_lattices(v19) | ~ v15_lattices(v19) | ~ l3_lattices(v19) | v17_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v12_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v9_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v8_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v7_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v6_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v5_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v11_lattices(v19) | ~ l3_lattices(v19) | ~ v10_lattices(v19) | v4_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v15_lattices(v19) | ~ l3_lattices(v19) | v14_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v15_lattices(v19) | ~ l3_lattices(v19) | v13_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v14_lattices(v19) | ~ v13_lattices(v19) | ~ l3_lattices(v19) | v15_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v1_relat_1(v19) | ~ v1_funct_1(v19) | ~ v1_xboole_0(v19) | v2_funct_1(v19)) & ! [v19] : ( ~ v9_lattices(v19) | ~ v8_lattices(v19) | ~ v7_lattices(v19) | ~ v6_lattices(v19) | ~ v5_lattices(v19) | ~ v4_lattices(v19) | ~ l3_lattices(v19) | v10_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v1_xboole_0(v19) | v1_funct_1(v19)) & ! [v19] : ( ~ v17_lattices(v19) | ~ l3_lattices(v19) | v16_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v17_lattices(v19) | ~ l3_lattices(v19) | v11_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v17_lattices(v19) | ~ l3_lattices(v19) | v15_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v17_lattices(v19) | ~ l3_lattices(v19) | v14_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ v17_lattices(v19) | ~ l3_lattices(v19) | v13_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ l3_lattices(v19) | ~ v10_lattices(v19) | v9_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ l3_lattices(v19) | ~ v10_lattices(v19) | v8_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ l3_lattices(v19) | ~ v10_lattices(v19) | v7_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ l3_lattices(v19) | ~ v10_lattices(v19) | v6_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ l3_lattices(v19) | ~ v10_lattices(v19) | v5_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ l3_lattices(v19) | ~ v10_lattices(v19) | v4_lattices(v19) | v3_struct_0(v19)) & ! [v19] : ( ~ l3_lattices(v19) | l2_lattices(v19)) & ! [v19] : ( ~ l3_lattices(v19) | l1_lattices(v19)) & ? [v19] : ? [v20] : ? [v21] : m2_relset_1(v21, v19, v20) & ? [v19] : ? [v20] : ? [v21] : m1_relset_1(v21, v19, v20) & ? [v19] : ? [v20] : m1_subset_1(v20, v19) & ? [v19] : r1_tarski(v19, v19) & ((v17_lattices(v1) & l3_lattices(v1) & v10_lattices(v1) & ~ v17_lattices(v0) & ~ v3_struct_0(v1)) | (v17_lattices(v0) & ( ~ v17_lattices(v1) | ~ l3_lattices(v1) | ~ v10_lattices(v1) | v3_struct_0(v1)))))
% 9.62/2.86 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18 yields:
% 9.62/2.86 | (1) k1_lattice2(all_0_18_18) = all_0_17_17 & l2_lattices(all_0_2_2) & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_14_14) & l1_lattices(all_0_0_0) & v12_lattices(all_0_4_4) & v16_lattices(all_0_6_6) & v16_lattices(all_0_7_7) & v11_lattices(all_0_4_4) & v11_lattices(all_0_7_7) & v15_lattices(all_0_5_5) & v15_lattices(all_0_6_6) & v15_lattices(all_0_7_7) & v14_lattices(all_0_4_4) & v14_lattices(all_0_5_5) & v14_lattices(all_0_6_6) & v14_lattices(all_0_7_7) & v13_lattices(all_0_4_4) & v13_lattices(all_0_5_5) & v13_lattices(all_0_6_6) & v13_lattices(all_0_7_7) & v2_funct_1(all_0_12_12) & v1_relat_1(all_0_8_8) & v1_relat_1(all_0_10_10) & v1_relat_1(all_0_12_12) & v9_lattices(all_0_4_4) & v9_lattices(all_0_5_5) & v9_lattices(all_0_6_6) & v9_lattices(all_0_7_7) & v9_lattices(all_0_16_16) & v8_lattices(all_0_4_4) & v8_lattices(all_0_5_5) & v8_lattices(all_0_6_6) & v8_lattices(all_0_7_7) & v8_lattices(all_0_16_16) & v7_lattices(all_0_4_4) & v7_lattices(all_0_5_5) & v7_lattices(all_0_6_6) & v7_lattices(all_0_7_7) & v7_lattices(all_0_16_16) & v6_lattices(all_0_4_4) & v6_lattices(all_0_5_5) & v6_lattices(all_0_6_6) & v6_lattices(all_0_7_7) & v6_lattices(all_0_16_16) & v5_lattices(all_0_4_4) & v5_lattices(all_0_5_5) & v5_lattices(all_0_6_6) & v5_lattices(all_0_7_7) & v5_lattices(all_0_16_16) & v4_lattices(all_0_4_4) & v4_lattices(all_0_5_5) & v4_lattices(all_0_6_6) & v4_lattices(all_0_7_7) & v4_lattices(all_0_16_16) & v1_funct_1(all_0_8_8) & v1_funct_1(all_0_10_10) & v1_funct_1(all_0_12_12) & v1_xboole_0(all_0_9_9) & v1_xboole_0(all_0_10_10) & v1_xboole_0(k1_xboole_0) & v3_lattices(all_0_4_4) & v3_lattices(all_0_5_5) & v3_lattices(all_0_6_6) & v3_lattices(all_0_7_7) & v3_lattices(all_0_13_13) & v3_lattices(all_0_15_15) & v3_lattices(all_0_16_16) & v17_lattices(all_0_7_7) & l3_lattices(all_0_3_3) & l3_lattices(all_0_4_4) & l3_lattices(all_0_5_5) & l3_lattices(all_0_6_6) & l3_lattices(all_0_7_7) & l3_lattices(all_0_13_13) & l3_lattices(all_0_15_15) & l3_lattices(all_0_16_16) & l3_lattices(all_0_18_18) & v10_lattices(all_0_4_4) & v10_lattices(all_0_5_5) & v10_lattices(all_0_6_6) & v10_lattices(all_0_7_7) & v10_lattices(all_0_16_16) & v10_lattices(all_0_18_18) & ~ v1_xboole_0(all_0_11_11) & ~ v3_struct_0(all_0_4_4) & ~ v3_struct_0(all_0_5_5) & ~ v3_struct_0(all_0_6_6) & ~ v3_struct_0(all_0_7_7) & ~ v3_struct_0(all_0_14_14) & ~ v3_struct_0(all_0_15_15) & ~ v3_struct_0(all_0_16_16) & ~ v3_struct_0(all_0_18_18) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v2 | ~ (g3_lattices(v4, v5, v6) = v3) | ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) | ~ m1_relset_1(v1, v7, v0) | ~ v1_funct_2(v2, v7, v0) | ~ v1_funct_2(v1, v7, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v1 | ~ (g3_lattices(v4, v5, v6) = v3) | ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) | ~ m1_relset_1(v1, v7, v0) | ~ v1_funct_2(v2, v7, v0) | ~ v1_funct_2(v1, v7, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v0 | ~ (g3_lattices(v4, v5, v6) = v3) | ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) | ~ m1_relset_1(v1, v7, v0) | ~ v1_funct_2(v2, v7, v0) | ~ v1_funct_2(v1, v7, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u2_lattices(v0) = v2) | ~ (u1_lattices(v0) = v3) | ~ (g3_lattices(v1, v2, v3) = v4) | ~ v3_lattices(v0) | ~ l3_lattices(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (g3_lattices(v4, v3, v2) = v1) | ~ (g3_lattices(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v0) = v1) | ~ (u2_lattices(v0) = v3) | ~ (u1_lattices(v0) = v2) | ~ (g3_lattices(v1, v2, v3) = v4) | ~ l3_lattices(v0) | k1_lattice2(v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [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) | ~ m1_subset_1(v1, v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ~ v3_struct_0(v3) | v1_xboole_0(v0) | ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) | ~ m1_relset_1(v1, v4, v0) | ~ v1_funct_2(v2, v4, v0) | ~ v1_funct_2(v1, v4, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | v1_xboole_0(v0) | v3_lattices(v3) | ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) | ~ m1_relset_1(v1, v4, v0) | ~ v1_funct_2(v2, v4, v0) | ~ v1_funct_2(v1, v4, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | v3_lattices(v3) | ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) | ~ m1_relset_1(v1, v4, v0) | ~ v1_funct_2(v2, v4, v0) | ~ v1_funct_2(v1, v4, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | l3_lattices(v3) | ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) | ~ m1_relset_1(v1, v4, v0) | ~ v1_funct_2(v2, v4, v0) | ~ v1_funct_2(v1, v4, v0)))) & ? [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_lattice2(v2) = v1) | ~ (k1_lattice2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_lattices(v2) = v1) | ~ (u2_lattices(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_lattices(v2) = v1) | ~ (u1_lattices(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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] : ( ~ (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_lattice2(v0) = v1) | ~ v16_lattices(v1) | ~ v15_lattices(v1) | ~ l3_lattices(v1) | ~ l3_lattices(v0) | ~ v10_lattices(v1) | ~ v10_lattices(v0) | v16_lattices(v0) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v1) | ~ v15_lattices(v1) | ~ l3_lattices(v1) | ~ l3_lattices(v0) | ~ v10_lattices(v1) | ~ v10_lattices(v0) | v15_lattices(v0) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v16_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v15_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | l3_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v10_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v1) | ~ l3_lattices(v1) | ~ l3_lattices(v0) | ~ v10_lattices(v1) | ~ v10_lattices(v0) | v11_lattices(v0) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v11_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | l3_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v10_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v10_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | v3_lattices(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | v3_lattices(v1)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | l3_lattices(v1)) & ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ? [v2] : ? [v3] : ? [v4] : (u1_struct_0(v0) = v2 & u2_lattices(v0) = v4 & u1_lattices(v0) = v3 & g3_lattices(v2, v3, v4) = 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] : (m1_subset_1(v2, v1) & v1_xboole_0(v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & 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] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & 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) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(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] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 & 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] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 & 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) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(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] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & 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] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & 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) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [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] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & 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] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & 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) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, 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] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ v16_lattices(v0) | ~ v11_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | v17_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v12_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v15_lattices(v0) | ~ l3_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v15_lattices(v0) | ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v14_lattices(v0) | ~ v13_lattices(v0) | ~ l3_lattices(v0) | v15_lattices(v0) | v3_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_funct_1(v0)) & ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v16_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v11_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(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) | l2_lattices(v0)) & ! [v0] : ( ~ l3_lattices(v0) | l1_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) & ((v17_lattices(all_0_17_17) & l3_lattices(all_0_17_17) & v10_lattices(all_0_17_17) & ~ v17_lattices(all_0_18_18) & ~ v3_struct_0(all_0_17_17)) | (v17_lattices(all_0_18_18) & ( ~ v17_lattices(all_0_17_17) | ~ l3_lattices(all_0_17_17) | ~ v10_lattices(all_0_17_17) | v3_struct_0(all_0_17_17))))
% 10.09/2.88 |
% 10.09/2.88 | Applying alpha-rule on (1) yields:
% 10.09/2.88 | (2) v7_lattices(all_0_7_7)
% 10.09/2.89 | (3) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v1) | ~ v15_lattices(v1) | ~ l3_lattices(v1) | ~ l3_lattices(v0) | ~ v10_lattices(v1) | ~ v10_lattices(v0) | v15_lattices(v0) | v3_struct_0(v1) | v3_struct_0(v0))
% 10.09/2.89 | (4) v3_lattices(all_0_6_6)
% 10.09/2.89 | (5) (v17_lattices(all_0_17_17) & l3_lattices(all_0_17_17) & v10_lattices(all_0_17_17) & ~ v17_lattices(all_0_18_18) & ~ v3_struct_0(all_0_17_17)) | (v17_lattices(all_0_18_18) & ( ~ v17_lattices(all_0_17_17) | ~ l3_lattices(all_0_17_17) | ~ v10_lattices(all_0_17_17) | v3_struct_0(all_0_17_17)))
% 10.09/2.89 | (6) v1_funct_1(all_0_10_10)
% 10.09/2.89 | (7) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v12_lattices(v0) | v3_struct_0(v0))
% 10.09/2.89 | (8) v1_relat_1(all_0_10_10)
% 10.09/2.89 | (9) v3_lattices(all_0_4_4)
% 10.09/2.89 | (10) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ? [v2] : ? [v3] : ? [v4] : (u1_struct_0(v0) = v2 & u2_lattices(v0) = v4 & u1_lattices(v0) = v3 & g3_lattices(v2, v3, v4) = v1))
% 10.09/2.89 | (11) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 10.09/2.89 | (12) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v1) | v3_struct_0(v0))
% 10.09/2.89 | (13) v15_lattices(all_0_7_7)
% 10.09/2.89 | (14) l1_struct_0(all_0_1_1)
% 10.09/2.89 | (15) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 10.09/2.89 | (16) v5_lattices(all_0_4_4)
% 10.09/2.89 | (17) v8_lattices(all_0_5_5)
% 10.09/2.89 | (18) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & v2_binop_1(v1, v2) & v1_partfun1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 10.09/2.89 | (19) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0))
% 10.09/2.89 | (20) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 10.09/2.89 | (21) v4_lattices(all_0_5_5)
% 10.09/2.89 | (22) k1_lattice2(all_0_18_18) = all_0_17_17
% 10.09/2.89 | (23) v1_funct_1(all_0_8_8)
% 10.09/2.89 | (24) ! [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)))
% 10.09/2.89 | (25) v9_lattices(all_0_16_16)
% 10.09/2.89 | (26) v5_lattices(all_0_5_5)
% 10.09/2.89 | (27) l3_lattices(all_0_3_3)
% 10.09/2.89 | (28) v14_lattices(all_0_5_5)
% 10.09/2.89 | (29) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0))
% 10.09/2.89 | (30) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 10.09/2.89 | (31) ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0))
% 10.09/2.89 | (32) v10_lattices(all_0_16_16)
% 10.09/2.89 | (33) l3_lattices(all_0_4_4)
% 10.09/2.89 | (34) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0))
% 10.09/2.89 | (35) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0))
% 10.09/2.89 | (36) v13_lattices(all_0_5_5)
% 10.09/2.89 | (37) ! [v0] : ( ~ v15_lattices(v0) | ~ l3_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0))
% 10.09/2.89 | (38) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | v3_lattices(v1))
% 10.09/2.89 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 10.09/2.89 | (40) v10_lattices(all_0_7_7)
% 10.09/2.89 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v0 | ~ (g3_lattices(v4, v5, v6) = v3) | ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) | ~ m1_relset_1(v1, v7, v0) | ~ v1_funct_2(v2, v7, v0) | ~ v1_funct_2(v1, v7, v0))))
% 10.09/2.89 | (42) v11_lattices(all_0_4_4)
% 10.09/2.89 | (43) ! [v0] : ( ~ v14_lattices(v0) | ~ v13_lattices(v0) | ~ l3_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0))
% 10.09/2.89 | (44) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 10.09/2.89 | (45) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & v2_binop_1(v1, v2) & v1_partfun1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 10.09/2.89 | (46) v6_lattices(all_0_7_7)
% 10.09/2.89 | (47) ! [v0] : ( ~ v1_relat_1(v0) | ~ v1_funct_1(v0) | ~ v1_xboole_0(v0) | v2_funct_1(v0))
% 10.09/2.89 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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)))
% 10.09/2.89 | (49) l1_struct_0(all_0_14_14)
% 10.09/2.89 | (50) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (m1_subset_1(v2, v1) & v1_xboole_0(v2)))
% 10.09/2.89 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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)))
% 10.09/2.89 | (52) v5_lattices(all_0_16_16)
% 10.09/2.89 | (53) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | l3_lattices(v1))
% 10.09/2.89 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (g3_lattices(v4, v3, v2) = v1) | ~ (g3_lattices(v4, v3, v2) = v0))
% 10.09/2.89 | (55) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | v3_lattices(v1) | v3_struct_0(v0))
% 10.09/2.89 | (56) v3_lattices(all_0_16_16)
% 10.09/2.89 | (57) v1_relat_1(all_0_12_12)
% 10.09/2.89 | (58) l2_lattices(all_0_2_2)
% 10.09/2.89 | (59) v5_lattices(all_0_6_6)
% 10.09/2.89 | (60) ! [v0] : ( ~ v15_lattices(v0) | ~ l3_lattices(v0) | v13_lattices(v0) | v3_struct_0(v0))
% 10.09/2.89 | (61) v9_lattices(all_0_5_5)
% 10.09/2.89 | (62) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & v1_partfun1(v1, v3, v2) & v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2)))
% 10.09/2.89 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | v1_xboole_0(v0) | v3_lattices(v3) | ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) | ~ m1_relset_1(v1, v4, v0) | ~ v1_funct_2(v2, v4, v0) | ~ v1_funct_2(v1, v4, v0))))
% 10.09/2.89 | (64) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_lattices(v2) = v1) | ~ (u2_lattices(v2) = v0))
% 10.09/2.89 | (65) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v1) | v3_struct_0(v0))
% 10.09/2.89 | (66) v6_lattices(all_0_16_16)
% 10.09/2.89 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_lattice2(v2) = v1) | ~ (k1_lattice2(v2) = v0))
% 10.09/2.89 | (68) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v10_lattices(v1) | v3_struct_0(v0))
% 10.09/2.89 | (69) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 10.09/2.89 | (70) l1_lattices(all_0_0_0)
% 10.09/2.89 | (71) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v1) | v3_struct_0(v0))
% 10.09/2.89 | (72) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0))
% 10.09/2.89 | (73) l3_lattices(all_0_6_6)
% 10.09/2.89 | (74) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & v1_partfun1(v1, v3, v2) & v1_binop_1(v1, v2) & v1_funct_2(v1, v3, v2)))
% 10.09/2.89 | (75) v6_lattices(all_0_5_5)
% 10.09/2.90 | (76) v4_lattices(all_0_6_6)
% 10.09/2.90 | (77) v12_lattices(all_0_4_4)
% 10.09/2.90 | (78) l3_lattices(all_0_5_5)
% 10.09/2.90 | (79) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & v2_binop_1(v2, v1) & v1_partfun1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2)))
% 10.18/2.90 | (80) ! [v0] : ( ~ l3_lattices(v0) | l2_lattices(v0))
% 10.18/2.90 | (81) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0))
% 10.18/2.90 | (82) ~ v3_struct_0(all_0_4_4)
% 10.18/2.90 | (83) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0))
% 10.18/2.90 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_lattices(v2) = v1) | ~ (u1_lattices(v2) = v0))
% 10.18/2.90 | (85) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0))
% 10.18/2.90 | (86) v3_lattices(all_0_5_5)
% 10.18/2.90 | (87) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v1) | v3_struct_0(v0))
% 10.18/2.90 | (88) ? [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)))
% 10.18/2.90 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1))
% 10.18/2.90 | (90) v13_lattices(all_0_6_6)
% 10.18/2.90 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 10.18/2.90 | (92) ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v15_lattices(v0) | v3_struct_0(v0))
% 10.18/2.90 | (93) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 10.18/2.90 | (94) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v1) | v3_struct_0(v0))
% 10.18/2.90 | (95) v4_lattices(all_0_4_4)
% 10.18/2.90 | (96) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 10.18/2.90 | (97) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0))
% 10.18/2.90 | (98) v10_lattices(all_0_5_5)
% 10.18/2.90 | (99) v7_lattices(all_0_6_6)
% 10.18/2.90 | (100) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v15_lattices(v1) | v3_struct_0(v0))
% 10.18/2.90 | (101) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0))
% 10.18/2.90 | (102) v8_lattices(all_0_4_4)
% 10.18/2.90 | (103) ~ v3_struct_0(all_0_15_15)
% 10.18/2.90 | (104) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v1) | v3_struct_0(v0))
% 10.18/2.90 | (105) v16_lattices(all_0_7_7)
% 10.18/2.90 | (106) v14_lattices(all_0_7_7)
% 10.18/2.90 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ~ v3_struct_0(v3) | v1_xboole_0(v0) | ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) | ~ m1_relset_1(v1, v4, v0) | ~ v1_funct_2(v2, v4, v0) | ~ v1_funct_2(v1, v4, v0))))
% 10.18/2.90 | (108) ? [v0] : r1_tarski(v0, v0)
% 10.18/2.90 | (109) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 10.18/2.90 | (110) v1_funct_1(all_0_12_12)
% 10.18/2.90 | (111) ~ v3_struct_0(all_0_6_6)
% 10.18/2.90 | (112) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0))
% 10.18/2.90 | (113) l3_lattices(all_0_7_7)
% 10.18/2.90 | (114) ~ v1_xboole_0(all_0_11_11)
% 10.18/2.90 | (115) ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0))
% 10.18/2.90 | (116) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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)))
% 10.18/2.90 | (117) l3_lattices(all_0_13_13)
% 10.18/2.90 | (118) v15_lattices(all_0_6_6)
% 10.18/2.90 | (119) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 10.18/2.90 | (120) ! [v0] : ( ~ l1_lattices(v0) | l1_struct_0(v0))
% 10.18/2.90 | (121) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 10.18/2.90 | (122) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 10.18/2.90 | (123) v3_lattices(all_0_15_15)
% 10.18/2.90 | (124) v15_lattices(all_0_5_5)
% 10.18/2.90 | (125) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | v3_lattices(v3) | ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) | ~ m1_relset_1(v1, v4, v0) | ~ v1_funct_2(v2, v4, v0) | ~ v1_funct_2(v1, v4, v0))))
% 10.18/2.90 | (126) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0))
% 10.18/2.90 | (127) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v3_lattices(v1) | v3_struct_0(v0))
% 10.18/2.90 | (128) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 10.18/2.90 | (129) v1_xboole_0(all_0_10_10)
% 10.18/2.90 | (130) v3_lattices(all_0_7_7)
% 10.18/2.90 | (131) l3_lattices(all_0_16_16)
% 10.18/2.90 | (132) v8_lattices(all_0_7_7)
% 10.18/2.90 | (133) ! [v0] : ( ~ l2_lattices(v0) | l1_struct_0(v0))
% 10.18/2.90 | (134) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ~ v4_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u2_lattices(v0) = v2 & v1_partfun1(v2, v3, v1) & v1_binop_1(v2, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2)))
% 10.18/2.90 | (135) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0))
% 10.18/2.90 | (136) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0))
% 10.18/2.90 | (137) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v10_lattices(v1) | v3_struct_0(v0))
% 10.18/2.90 | (138) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | l3_lattices(v1) | v3_struct_0(v0))
% 10.18/2.90 | (139) v14_lattices(all_0_6_6)
% 10.18/2.90 | (140) ~ v3_struct_0(all_0_7_7)
% 10.18/2.90 | (141) l3_lattices(all_0_15_15)
% 10.18/2.90 | (142) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0))
% 10.18/2.90 | (143) v14_lattices(all_0_4_4)
% 10.18/2.90 | (144) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 10.18/2.90 | (145) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 10.18/2.90 | (146) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v10_lattices(v1) | v3_struct_0(v0))
% 10.18/2.90 | (147) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v9_lattices(v0) | v3_struct_0(v0))
% 10.18/2.90 | (148) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | ~ v5_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0))
% 10.18/2.90 | (149) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 10.18/2.90 | (150) v3_lattices(all_0_13_13)
% 10.18/2.90 | (151) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 10.18/2.90 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u2_lattices(v0) = v2) | ~ (u1_lattices(v0) = v3) | ~ (g3_lattices(v1, v2, v3) = v4) | ~ v3_lattices(v0) | ~ l3_lattices(v0))
% 10.18/2.90 | (153) v10_lattices(all_0_6_6)
% 10.18/2.90 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2))
% 10.18/2.91 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 10.18/2.91 | (156) ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v16_lattices(v0) | v3_struct_0(v0))
% 10.18/2.91 | (157) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v1_relat_1(v1) | v3_struct_0(v0))
% 10.18/2.91 | (158) v7_lattices(all_0_4_4)
% 10.18/2.91 | (159) ! [v0] : ( ~ v16_lattices(v0) | ~ v11_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | v17_lattices(v0) | v3_struct_0(v0))
% 10.18/2.91 | (160) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | v1_funct_1(v1))
% 10.18/2.91 | (161) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | l3_lattices(v1) | v3_struct_0(v0))
% 10.18/2.91 | (162) ~ v3_struct_0(all_0_18_18)
% 10.18/2.91 | (163) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v5_lattices(v0) | v3_struct_0(v0))
% 10.18/2.91 | (164) v2_funct_1(all_0_12_12)
% 10.18/2.91 | (165) ! [v0] : ( ~ l3_lattices(v0) | l1_lattices(v0))
% 10.18/2.91 | (166) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ l2_lattices(v0) | ? [v3] : (u2_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 10.18/2.91 | (167) ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v14_lattices(v0) | v3_struct_0(v0))
% 10.18/2.91 | (168) ! [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))
% 10.18/2.91 | (169) v17_lattices(all_0_7_7)
% 10.18/2.91 | (170) v9_lattices(all_0_4_4)
% 10.18/2.91 | (171) v13_lattices(all_0_7_7)
% 10.18/2.91 | (172) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 10.18/2.91 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v0) = v1) | ~ (u2_lattices(v0) = v3) | ~ (u1_lattices(v0) = v2) | ~ (g3_lattices(v1, v2, v3) = v4) | ~ l3_lattices(v0) | k1_lattice2(v0) = v4)
% 10.18/2.91 | (174) v10_lattices(all_0_4_4)
% 10.18/2.91 | (175) v5_lattices(all_0_7_7)
% 10.18/2.91 | (176) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v1) | ~ l3_lattices(v1) | ~ l3_lattices(v0) | ~ v10_lattices(v1) | ~ v10_lattices(v0) | v11_lattices(v0) | v3_struct_0(v1) | v3_struct_0(v0))
% 10.18/2.91 | (177) v9_lattices(all_0_7_7)
% 10.18/2.91 | (178) v16_lattices(all_0_6_6)
% 10.18/2.91 | (179) v11_lattices(all_0_7_7)
% 10.18/2.91 | (180) ! [v0] : ! [v1] : ( ~ (u2_lattices(v0) = v1) | ~ l2_lattices(v0) | v1_funct_1(v1))
% 10.18/2.91 | (181) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 10.18/2.91 | (182) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ? [v3] : (u1_lattices(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 10.18/2.91 | (183) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v4_lattices(v0) | v3_struct_0(v0))
% 10.18/2.91 | (184) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ 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)))
% 10.18/2.91 | (185) v7_lattices(all_0_16_16)
% 10.18/2.91 | (186) v1_xboole_0(all_0_9_9)
% 10.18/2.91 | (187) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = v1 | ~ (g3_lattices(v4, v5, v6) = v3) | ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) | ~ m1_relset_1(v1, v7, v0) | ~ v1_funct_2(v2, v7, v0) | ~ v1_funct_2(v1, v7, v0))))
% 10.18/2.91 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v2 | ~ (g3_lattices(v4, v5, v6) = v3) | ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | ? [v7] : (k2_zfmisc_1(v0, v0) = v7 & ( ~ m1_relset_1(v2, v7, v0) | ~ m1_relset_1(v1, v7, v0) | ~ v1_funct_2(v2, v7, v0) | ~ v1_funct_2(v1, v7, v0))))
% 10.18/2.91 | (189) v8_lattices(all_0_16_16)
% 10.18/2.91 | (190) ! [v0] : ( ~ v17_lattices(v0) | ~ l3_lattices(v0) | v11_lattices(v0) | v3_struct_0(v0))
% 10.18/2.91 | (191) ! [v0] : ! [v1] : ( ~ (u1_lattices(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v1_funct_1(v1) | v3_struct_0(v0))
% 10.18/2.91 | (192) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v0) | ~ v15_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v16_lattices(v1) | v3_struct_0(v0))
% 10.18/2.91 | (193) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v8_lattices(v0) | v3_struct_0(v0))
% 10.18/2.91 | (194) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (g3_lattices(v0, v1, v2) = v3) | ~ v1_funct_1(v2) | ~ v1_funct_1(v1) | l3_lattices(v3) | ? [v4] : (k2_zfmisc_1(v0, v0) = v4 & ( ~ m1_relset_1(v2, v4, v0) | ~ m1_relset_1(v1, v4, v0) | ~ v1_funct_2(v2, v4, v0) | ~ v1_funct_2(v1, v4, v0))))
% 10.18/2.91 | (195) v4_lattices(all_0_7_7)
% 10.18/2.91 | (196) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 10.18/2.91 | (197) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 10.18/2.91 | (198) v9_lattices(all_0_6_6)
% 10.18/2.91 | (199) v13_lattices(all_0_4_4)
% 10.18/2.91 | (200) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v11_lattices(v1) | v3_struct_0(v0))
% 10.18/2.91 | (201) ~ v3_struct_0(all_0_14_14)
% 10.18/2.91 | (202) v6_lattices(all_0_6_6)
% 10.18/2.91 | (203) ! [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)))
% 10.18/2.91 | (204) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ~ v7_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 & v2_binop_1(v2, v1) & v1_partfun1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2)))
% 10.18/2.91 | (205) ! [v0] : ( ~ l3_lattices(v0) | ~ v10_lattices(v0) | v7_lattices(v0) | v3_struct_0(v0))
% 10.18/2.91 | (206) ! [v0] : ! [v1] : ( ~ (k1_lattice2(v0) = v1) | ~ v16_lattices(v1) | ~ v15_lattices(v1) | ~ l3_lattices(v1) | ~ l3_lattices(v0) | ~ v10_lattices(v1) | ~ v10_lattices(v0) | v16_lattices(v0) | v3_struct_0(v1) | v3_struct_0(v0))
% 10.18/2.91 | (207) ~ v3_struct_0(all_0_5_5)
% 10.18/2.91 | (208) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_lattices(v0) | ~ v6_lattices(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_lattices(v0) = v2 & v1_partfun1(v2, v3, v1) & v1_binop_1(v2, v1) & v1_funct_2(v2, v3, v1) & v1_relat_1(v2) & v1_funct_1(v2)))
% 10.18/2.91 | (209) v10_lattices(all_0_18_18)
% 10.18/2.91 | (210) v8_lattices(all_0_6_6)
% 10.18/2.91 | (211) v6_lattices(all_0_4_4)
% 10.18/2.91 | (212) v1_xboole_0(k1_xboole_0)
% 10.18/2.91 | (213) ! [v0] : ( ~ v11_lattices(v0) | ~ l3_lattices(v0) | ~ v10_lattices(v0) | v6_lattices(v0) | v3_struct_0(v0))
% 10.18/2.91 | (214) v1_relat_1(all_0_8_8)
% 10.18/2.91 | (215) v7_lattices(all_0_5_5)
% 10.18/2.91 | (216) l3_lattices(all_0_18_18)
% 10.18/2.91 | (217) ~ v3_struct_0(all_0_16_16)
% 10.18/2.91 | (218) v4_lattices(all_0_16_16)
% 10.18/2.91 |
% 10.18/2.91 | Instantiating formula (53) with all_0_17_17, all_0_18_18 and discharging atoms k1_lattice2(all_0_18_18) = all_0_17_17, l3_lattices(all_0_18_18), yields:
% 10.18/2.91 | (219) l3_lattices(all_0_17_17)
% 10.18/2.91 |
% 10.18/2.91 | Instantiating formula (68) with all_0_17_17, all_0_18_18 and discharging atoms k1_lattice2(all_0_18_18) = all_0_17_17, l3_lattices(all_0_18_18), v10_lattices(all_0_18_18), ~ v3_struct_0(all_0_18_18), yields:
% 10.18/2.91 | (220) v10_lattices(all_0_17_17)
% 10.18/2.91 |
% 10.18/2.91 +-Applying beta-rule and splitting (5), into two cases.
% 10.18/2.91 |-Branch one:
% 10.18/2.91 | (221) v17_lattices(all_0_17_17) & l3_lattices(all_0_17_17) & v10_lattices(all_0_17_17) & ~ v17_lattices(all_0_18_18) & ~ v3_struct_0(all_0_17_17)
% 10.18/2.91 |
% 10.18/2.91 | Applying alpha-rule on (221) yields:
% 10.18/2.91 | (222) ~ v17_lattices(all_0_18_18)
% 10.27/2.91 | (219) l3_lattices(all_0_17_17)
% 10.27/2.91 | (224) v17_lattices(all_0_17_17)
% 10.27/2.91 | (225) ~ v3_struct_0(all_0_17_17)
% 10.27/2.91 | (220) v10_lattices(all_0_17_17)
% 10.27/2.91 |
% 10.27/2.91 | Instantiating formula (156) with all_0_17_17 and discharging atoms v17_lattices(all_0_17_17), l3_lattices(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 10.27/2.91 | (227) v16_lattices(all_0_17_17)
% 10.27/2.91 |
% 10.27/2.91 | Instantiating formula (190) with all_0_17_17 and discharging atoms v17_lattices(all_0_17_17), l3_lattices(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 10.27/2.91 | (228) v11_lattices(all_0_17_17)
% 10.27/2.91 |
% 10.27/2.91 | Instantiating formula (92) with all_0_17_17 and discharging atoms v17_lattices(all_0_17_17), l3_lattices(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 10.27/2.91 | (229) v15_lattices(all_0_17_17)
% 10.27/2.91 |
% 10.27/2.91 | Instantiating formula (176) with all_0_17_17, all_0_18_18 and discharging atoms k1_lattice2(all_0_18_18) = all_0_17_17, v11_lattices(all_0_17_17), l3_lattices(all_0_17_17), l3_lattices(all_0_18_18), v10_lattices(all_0_17_17), v10_lattices(all_0_18_18), ~ v3_struct_0(all_0_17_17), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.91 | (230) v11_lattices(all_0_18_18)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (206) with all_0_17_17, all_0_18_18 and discharging atoms k1_lattice2(all_0_18_18) = all_0_17_17, v16_lattices(all_0_17_17), v15_lattices(all_0_17_17), l3_lattices(all_0_17_17), l3_lattices(all_0_18_18), v10_lattices(all_0_17_17), v10_lattices(all_0_18_18), ~ v3_struct_0(all_0_17_17), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (231) v16_lattices(all_0_18_18)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (3) with all_0_17_17, all_0_18_18 and discharging atoms k1_lattice2(all_0_18_18) = all_0_17_17, v16_lattices(all_0_17_17), v15_lattices(all_0_17_17), l3_lattices(all_0_17_17), l3_lattices(all_0_18_18), v10_lattices(all_0_17_17), v10_lattices(all_0_18_18), ~ v3_struct_0(all_0_17_17), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (232) v15_lattices(all_0_18_18)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (159) with all_0_18_18 and discharging atoms v16_lattices(all_0_18_18), v11_lattices(all_0_18_18), v15_lattices(all_0_18_18), l3_lattices(all_0_18_18), ~ v17_lattices(all_0_18_18), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (233) $false
% 10.27/2.92 |
% 10.27/2.92 |-The branch is then unsatisfiable
% 10.27/2.92 |-Branch two:
% 10.27/2.92 | (234) v17_lattices(all_0_18_18) & ( ~ v17_lattices(all_0_17_17) | ~ l3_lattices(all_0_17_17) | ~ v10_lattices(all_0_17_17) | v3_struct_0(all_0_17_17))
% 10.27/2.92 |
% 10.27/2.92 | Applying alpha-rule on (234) yields:
% 10.27/2.92 | (235) v17_lattices(all_0_18_18)
% 10.27/2.92 | (236) ~ v17_lattices(all_0_17_17) | ~ l3_lattices(all_0_17_17) | ~ v10_lattices(all_0_17_17) | v3_struct_0(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (156) with all_0_18_18 and discharging atoms v17_lattices(all_0_18_18), l3_lattices(all_0_18_18), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (231) v16_lattices(all_0_18_18)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (190) with all_0_18_18 and discharging atoms v17_lattices(all_0_18_18), l3_lattices(all_0_18_18), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (230) v11_lattices(all_0_18_18)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (92) with all_0_18_18 and discharging atoms v17_lattices(all_0_18_18), l3_lattices(all_0_18_18), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (232) v15_lattices(all_0_18_18)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (200) with all_0_17_17, all_0_18_18 and discharging atoms k1_lattice2(all_0_18_18) = all_0_17_17, v11_lattices(all_0_18_18), l3_lattices(all_0_18_18), v10_lattices(all_0_18_18), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (228) v11_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (192) with all_0_17_17, all_0_18_18 and discharging atoms k1_lattice2(all_0_18_18) = all_0_17_17, v16_lattices(all_0_18_18), v15_lattices(all_0_18_18), l3_lattices(all_0_18_18), v10_lattices(all_0_18_18), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (227) v16_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (100) with all_0_17_17, all_0_18_18 and discharging atoms k1_lattice2(all_0_18_18) = all_0_17_17, v16_lattices(all_0_18_18), v15_lattices(all_0_18_18), l3_lattices(all_0_18_18), v10_lattices(all_0_18_18), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (229) v15_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (7) with all_0_17_17 and discharging atoms v11_lattices(all_0_17_17), l3_lattices(all_0_17_17), v10_lattices(all_0_17_17), yields:
% 10.27/2.92 | (243) v12_lattices(all_0_17_17) | v3_struct_0(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (159) with all_0_17_17 and discharging atoms v16_lattices(all_0_17_17), v11_lattices(all_0_17_17), v15_lattices(all_0_17_17), l3_lattices(all_0_17_17), yields:
% 10.27/2.92 | (244) v17_lattices(all_0_17_17) | v3_struct_0(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (60) with all_0_17_17 and discharging atoms v15_lattices(all_0_17_17), l3_lattices(all_0_17_17), yields:
% 10.27/2.92 | (245) v13_lattices(all_0_17_17) | v3_struct_0(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 +-Applying beta-rule and splitting (236), into two cases.
% 10.27/2.92 |-Branch one:
% 10.27/2.92 | (246) v3_struct_0(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Instantiating formula (112) with all_0_17_17, all_0_18_18 and discharging atoms k1_lattice2(all_0_18_18) = all_0_17_17, l3_lattices(all_0_18_18), v3_struct_0(all_0_17_17), ~ v3_struct_0(all_0_18_18), yields:
% 10.27/2.92 | (233) $false
% 10.27/2.92 |
% 10.27/2.92 |-The branch is then unsatisfiable
% 10.27/2.92 |-Branch two:
% 10.27/2.92 | (225) ~ v3_struct_0(all_0_17_17)
% 10.27/2.92 | (249) ~ v17_lattices(all_0_17_17) | ~ l3_lattices(all_0_17_17) | ~ v10_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 +-Applying beta-rule and splitting (245), into two cases.
% 10.27/2.92 |-Branch one:
% 10.27/2.92 | (246) v3_struct_0(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Using (246) and (225) yields:
% 10.27/2.92 | (233) $false
% 10.27/2.92 |
% 10.27/2.92 |-The branch is then unsatisfiable
% 10.27/2.92 |-Branch two:
% 10.27/2.92 | (225) ~ v3_struct_0(all_0_17_17)
% 10.27/2.92 | (253) v13_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 +-Applying beta-rule and splitting (243), into two cases.
% 10.27/2.92 |-Branch one:
% 10.27/2.92 | (246) v3_struct_0(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Using (246) and (225) yields:
% 10.27/2.92 | (233) $false
% 10.27/2.92 |
% 10.27/2.92 |-The branch is then unsatisfiable
% 10.27/2.92 |-Branch two:
% 10.27/2.92 | (225) ~ v3_struct_0(all_0_17_17)
% 10.27/2.92 | (257) v12_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 +-Applying beta-rule and splitting (244), into two cases.
% 10.27/2.92 |-Branch one:
% 10.27/2.92 | (246) v3_struct_0(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Using (246) and (225) yields:
% 10.27/2.92 | (233) $false
% 10.27/2.92 |
% 10.27/2.92 |-The branch is then unsatisfiable
% 10.27/2.92 |-Branch two:
% 10.27/2.92 | (225) ~ v3_struct_0(all_0_17_17)
% 10.27/2.92 | (224) v17_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 +-Applying beta-rule and splitting (249), into two cases.
% 10.27/2.92 |-Branch one:
% 10.27/2.92 | (262) ~ l3_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Using (219) and (262) yields:
% 10.27/2.92 | (233) $false
% 10.27/2.92 |
% 10.27/2.92 |-The branch is then unsatisfiable
% 10.27/2.92 |-Branch two:
% 10.27/2.92 | (219) l3_lattices(all_0_17_17)
% 10.27/2.92 | (265) ~ v17_lattices(all_0_17_17) | ~ v10_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 +-Applying beta-rule and splitting (265), into two cases.
% 10.27/2.92 |-Branch one:
% 10.27/2.92 | (266) ~ v10_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Using (220) and (266) yields:
% 10.27/2.92 | (233) $false
% 10.27/2.92 |
% 10.27/2.92 |-The branch is then unsatisfiable
% 10.27/2.92 |-Branch two:
% 10.27/2.92 | (220) v10_lattices(all_0_17_17)
% 10.27/2.92 | (269) ~ v17_lattices(all_0_17_17)
% 10.27/2.92 |
% 10.27/2.92 | Using (224) and (269) yields:
% 10.27/2.92 | (233) $false
% 10.27/2.92 |
% 10.27/2.92 |-The branch is then unsatisfiable
% 10.27/2.92 % SZS output end Proof for theBenchmark
% 10.27/2.92
% 10.27/2.92 2320ms
%------------------------------------------------------------------------------