TSTP Solution File: ALG222+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG222+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 : Thu Jul 14 15:37:37 EDT 2022
% Result : Theorem 6.98s 2.22s
% Output : Proof 12.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG222+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n021.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
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 600
% 0.17/0.33 % DateTime : Tue Jun 7 22:10:36 EDT 2022
% 0.17/0.33 % CPUTime :
% 0.19/0.57 ____ _
% 0.19/0.57 ___ / __ \_____(_)___ ________ __________
% 0.19/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.57
% 0.19/0.57 A Theorem Prover for First-Order Logic
% 0.19/0.58 (ePrincess v.1.0)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2015
% 0.19/0.58 (c) Peter Backeman, 2014-2015
% 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58 Bug reports to peter@backeman.se
% 0.19/0.58
% 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.64/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.03/1.05 Prover 0: Preprocessing ...
% 3.93/1.53 Prover 0: Warning: ignoring some quantifiers
% 3.93/1.57 Prover 0: Constructing countermodel ...
% 6.98/2.22 Prover 0: proved (1596ms)
% 6.98/2.22
% 6.98/2.22 No countermodel exists, formula is valid
% 6.98/2.22 % SZS status Theorem for theBenchmark
% 6.98/2.22
% 6.98/2.22 Generating proof ... Warning: ignoring some quantifiers
% 11.98/3.38 found it (size 152)
% 11.98/3.38
% 11.98/3.38 % SZS output start Proof for theBenchmark
% 11.98/3.38 Assumed formulas after preprocessing and simplification:
% 11.98/3.38 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : (k2_rmod_3(v0, v1, v5, v9) = v10 & k1_rmod_5(v0, v1, v7) = v8 & k1_rmod_5(v0, v1, v6) = v9 & k1_rmod_5(v0, v1, v4) = v5 & k5_subset_1(v2, v4, v6) = v7 & k1_zfmisc_1(v2) = v3 & u1_struct_0(v1) = v2 & v1_xboole_0(v14) & v1_xboole_0(k1_xboole_0) & l2_vectsp_1(v16) & l2_struct_0(v17) & l2_struct_0(v11) & l1_rlvect_1(v20) & l1_group_1(v21) & l1_vectsp_1(v18) & l1_struct_0(v19) & l1_struct_0(v12) & m1_subset_1(v6, v3) & m1_subset_1(v4, v3) & l1_vectsp_2(v1, v0) & v5_vectsp_2(v1, v0) & l3_vectsp_1(v15) & l3_vectsp_1(v0) & v2_vectsp_2(v0) & v8_vectsp_1(v0) & v7_vectsp_1(v0) & v6_vectsp_1(v0) & v7_group_1(v0) & v4_group_1(v0) & v6_rlvect_1(v1) & v6_rlvect_1(v0) & v5_rlvect_1(v1) & v5_rlvect_1(v0) & v4_rlvect_1(v1) & v4_rlvect_1(v0) & v3_rlvect_1(v1) & v3_rlvect_1(v0) & ~ v1_xboole_0(v13) & ~ m1_rmod_2(v8, v0, v10) & ~ v10_vectsp_1(v0) & ~ v3_struct_0(v12) & ~ v3_struct_0(v11) & ~ v3_struct_0(v1) & ~ v3_struct_0(v0) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : (v32 = v26 | ~ (g1_vectsp_2(v28, v29, v30, v31, v32) = v27) | ~ (g1_vectsp_2(v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v26) | ~ v1_funct_1(v24) | ~ l1_struct_0(v22) | ~ m1_subset_1(v25, v23) | ? [v33] : ? [v34] : ? [v35] : (k2_zfmisc_1(v23, v34) = v35 & k2_zfmisc_1(v23, v23) = v33 & u1_struct_0(v22) = v34 & ( ~ m1_relset_1(v26, v35, v23) | ~ m1_relset_1(v24, v33, v23) | ~ v1_funct_2(v26, v35, v23) | ~ v1_funct_2(v24, v33, v23)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : (v31 = v25 | ~ (g1_vectsp_2(v28, v29, v30, v31, v32) = v27) | ~ (g1_vectsp_2(v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v26) | ~ v1_funct_1(v24) | ~ l1_struct_0(v22) | ~ m1_subset_1(v25, v23) | ? [v33] : ? [v34] : ? [v35] : (k2_zfmisc_1(v23, v34) = v35 & k2_zfmisc_1(v23, v23) = v33 & u1_struct_0(v22) = v34 & ( ~ m1_relset_1(v26, v35, v23) | ~ m1_relset_1(v24, v33, v23) | ~ v1_funct_2(v26, v35, v23) | ~ v1_funct_2(v24, v33, v23)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : (v30 = v24 | ~ (g1_vectsp_2(v28, v29, v30, v31, v32) = v27) | ~ (g1_vectsp_2(v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v26) | ~ v1_funct_1(v24) | ~ l1_struct_0(v22) | ~ m1_subset_1(v25, v23) | ? [v33] : ? [v34] : ? [v35] : (k2_zfmisc_1(v23, v34) = v35 & k2_zfmisc_1(v23, v23) = v33 & u1_struct_0(v22) = v34 & ( ~ m1_relset_1(v26, v35, v23) | ~ m1_relset_1(v24, v33, v23) | ~ v1_funct_2(v26, v35, v23) | ~ v1_funct_2(v24, v33, v23)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : (v29 = v23 | ~ (g1_vectsp_2(v28, v29, v30, v31, v32) = v27) | ~ (g1_vectsp_2(v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v26) | ~ v1_funct_1(v24) | ~ l1_struct_0(v22) | ~ m1_subset_1(v25, v23) | ? [v33] : ? [v34] : ? [v35] : (k2_zfmisc_1(v23, v34) = v35 & k2_zfmisc_1(v23, v23) = v33 & u1_struct_0(v22) = v34 & ( ~ m1_relset_1(v26, v35, v23) | ~ m1_relset_1(v24, v33, v23) | ~ v1_funct_2(v26, v35, v23) | ~ v1_funct_2(v24, v33, v23)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : (v28 = v22 | ~ (g1_vectsp_2(v28, v29, v30, v31, v32) = v27) | ~ (g1_vectsp_2(v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v26) | ~ v1_funct_1(v24) | ~ l1_struct_0(v22) | ~ m1_subset_1(v25, v23) | ? [v33] : ? [v34] : ? [v35] : (k2_zfmisc_1(v23, v34) = v35 & k2_zfmisc_1(v23, v23) = v33 & u1_struct_0(v22) = v34 & ( ~ m1_relset_1(v26, v35, v23) | ~ m1_relset_1(v24, v33, v23) | ~ v1_funct_2(v26, v35, v23) | ~ v1_funct_2(v24, v33, v23)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v28 = v23 | ~ (u1_struct_0(v23) = v24) | ~ (u1_rlvect_1(v23) = v25) | ~ (u2_struct_0(v23) = v26) | ~ (u1_vectsp_2(v22, v23) = v27) | ~ (g1_vectsp_2(v22, v24, v25, v26, v27) = v28) | ~ v3_vectsp_2(v23, v22) | ~ l1_struct_0(v22) | ~ l1_vectsp_2(v23, v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v23 = v22 | ~ (g1_vectsp_2(v28, v27, v26, v25, v24) = v23) | ~ (g1_vectsp_2(v28, v27, v26, v25, v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v23 = v22 | ~ (k2_rmod_3(v27, v26, v25, v24) = v23) | ~ (k2_rmod_3(v27, v26, v25, v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (k2_rmod_3(v22, v23, v25, v26) = v27) | ~ m1_rmod_2(v26, v22, v23) | ~ m1_rmod_2(v25, v22, v23) | ~ m1_rmod_2(v24, v22, v26) | ~ m1_rmod_2(v24, v22, v25) | ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | m1_rmod_2(v24, v22, v27) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (g1_vectsp_2(v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v26) | ~ v1_funct_1(v24) | ~ l1_struct_0(v22) | ~ m1_subset_1(v25, v23) | ~ v3_struct_0(v27) | v1_xboole_0(v23) | ? [v28] : ? [v29] : ? [v30] : (k2_zfmisc_1(v23, v29) = v30 & k2_zfmisc_1(v23, v23) = v28 & u1_struct_0(v22) = v29 & ( ~ m1_relset_1(v26, v30, v23) | ~ m1_relset_1(v24, v28, v23) | ~ v1_funct_2(v26, v30, v23) | ~ v1_funct_2(v24, v28, v23)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (g1_vectsp_2(v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v26) | ~ v1_funct_1(v24) | ~ l1_struct_0(v22) | ~ m1_subset_1(v25, v23) | v1_xboole_0(v23) | v3_vectsp_2(v27, v22) | ? [v28] : ? [v29] : ? [v30] : (k2_zfmisc_1(v23, v29) = v30 & k2_zfmisc_1(v23, v23) = v28 & u1_struct_0(v22) = v29 & ( ~ m1_relset_1(v26, v30, v23) | ~ m1_relset_1(v24, v28, v23) | ~ v1_funct_2(v26, v30, v23) | ~ v1_funct_2(v24, v28, v23)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (g1_vectsp_2(v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v26) | ~ v1_funct_1(v24) | ~ l1_struct_0(v22) | ~ m1_subset_1(v25, v23) | v3_vectsp_2(v27, v22) | ? [v28] : ? [v29] : ? [v30] : (k2_zfmisc_1(v23, v29) = v30 & k2_zfmisc_1(v23, v23) = v28 & u1_struct_0(v22) = v29 & ( ~ m1_relset_1(v26, v30, v23) | ~ m1_relset_1(v24, v28, v23) | ~ v1_funct_2(v26, v30, v23) | ~ v1_funct_2(v24, v28, v23)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (g1_vectsp_2(v22, v23, v24, v25, v26) = v27) | ~ v1_funct_1(v26) | ~ v1_funct_1(v24) | ~ l1_struct_0(v22) | ~ m1_subset_1(v25, v23) | l1_vectsp_2(v27, v22) | ? [v28] : ? [v29] : ? [v30] : (k2_zfmisc_1(v23, v29) = v30 & k2_zfmisc_1(v23, v23) = v28 & u1_struct_0(v22) = v29 & ( ~ m1_relset_1(v26, v30, v23) | ~ m1_relset_1(v24, v28, v23) | ~ v1_funct_2(v26, v30, v23) | ~ v1_funct_2(v24, v28, v23)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v23 = v22 | ~ (k1_rmod_5(v26, v25, v24) = v23) | ~ (k1_rmod_5(v26, v25, v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v23 = v22 | ~ (k5_subset_1(v26, v25, v24) = v23) | ~ (k5_subset_1(v26, v25, v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k2_rmod_3(v22, v23, v24, v25) = v26) | ~ m1_rmod_2(v25, v22, v23) | ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v3_vectsp_2(v26, v22) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k2_rmod_3(v22, v23, v24, v25) = v26) | ~ m1_rmod_2(v25, v22, v23) | ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | m1_rmod_2(v26, v22, v23) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k3_xboole_0(v23, v24) = v26) | ~ (k1_zfmisc_1(v22) = v25) | ~ m1_subset_1(v24, v25) | ~ m1_subset_1(v23, v25) | k5_subset_1(v22, v23, v24) = v26) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (k2_zfmisc_1(v24, v25) = v26) | ~ (u1_struct_0(v23) = v24) | ~ (u1_struct_0(v22) = v25) | ~ l1_struct_0(v22) | ~ l1_vectsp_2(v23, v22) | ? [v27] : (u1_vectsp_2(v22, v23) = v27 & m2_relset_1(v27, v26, v24) & v1_funct_2(v27, v26, v24) & v1_funct_1(v27))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v23 = v22 | ~ (k3_xboole_0(v25, v24) = v23) | ~ (k3_xboole_0(v25, v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v23 = v22 | ~ (k2_zfmisc_1(v25, v24) = v23) | ~ (k2_zfmisc_1(v25, v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v23 = v22 | ~ (u1_vectsp_2(v25, v24) = v23) | ~ (u1_vectsp_2(v25, v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k1_rmod_5(v22, v23, v24) = v25) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v2_vectsp_2(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v7_group_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v3_vectsp_2(v25, v22) | v10_vectsp_1(v22) | v3_struct_0(v23) | v3_struct_0(v22) | ? [v26] : ? [v27] : (k1_zfmisc_1(v26) = v27 & u1_struct_0(v23) = v26 & ~ m1_subset_1(v24, v27))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k1_rmod_5(v22, v23, v24) = v25) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v2_vectsp_2(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v7_group_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | m1_rmod_2(v25, v22, v23) | v10_vectsp_1(v22) | v3_struct_0(v23) | v3_struct_0(v22) | ? [v26] : ? [v27] : (k1_zfmisc_1(v26) = v27 & u1_struct_0(v23) = v26 & ~ m1_subset_1(v24, v27))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k5_subset_1(v22, v24, v23) = v25) | ? [v26] : ? [v27] : (k5_subset_1(v22, v23, v24) = v27 & k1_zfmisc_1(v22) = v26 & (v27 = v25 | ~ m1_subset_1(v24, v26) | ~ m1_subset_1(v23, v26)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k5_subset_1(v22, v23, v24) = v25) | ? [v26] : ? [v27] : (k5_subset_1(v22, v24, v23) = v27 & k1_zfmisc_1(v22) = v26 & (v27 = v25 | ~ m1_subset_1(v24, v26) | ~ m1_subset_1(v23, v26)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k5_subset_1(v22, v23, v24) = v25) | ? [v26] : ? [v27] : (k3_xboole_0(v23, v24) = v27 & k1_zfmisc_1(v22) = v26 & (v27 = v25 | ~ m1_subset_1(v24, v26) | ~ m1_subset_1(v23, v26)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k5_subset_1(v22, v23, v24) = v25) | ? [v26] : (k1_zfmisc_1(v22) = v26 & ( ~ m1_subset_1(v24, v26) | ~ m1_subset_1(v23, v26) | m1_subset_1(v25, v26)))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k2_zfmisc_1(v22, v23) = v25) | ~ m2_relset_1(v24, v22, v23) | ? [v26] : (k1_zfmisc_1(v25) = v26 & m1_subset_1(v24, v26))) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k1_zfmisc_1(v24) = v25) | ~ v1_xboole_0(v24) | ~ r2_hidden(v22, v23) | ~ m1_subset_1(v23, v25)) & ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k1_zfmisc_1(v24) = v25) | ~ r2_hidden(v22, v23) | ~ m1_subset_1(v23, v25) | m1_subset_1(v22, v24)) & ? [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v24 | ~ (k5_subset_1(v23, v24, v24) = v25) | ? [v26] : (k1_zfmisc_1(v23) = v26 & ( ~ m1_subset_1(v24, v26) | ~ m1_subset_1(v22, v26)))) & ? [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (k2_zfmisc_1(v23, v24) = v25) | v1_relat_1(v22) | ? [v26] : (k1_zfmisc_1(v25) = v26 & ~ m1_subset_1(v22, v26))) & ! [v22] : ! [v23] : ! [v24] : (v23 = v22 | ~ (k1_zfmisc_1(v24) = v23) | ~ (k1_zfmisc_1(v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : (v23 = v22 | ~ (u1_struct_0(v24) = v23) | ~ (u1_struct_0(v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : (v23 = v22 | ~ (u1_rlvect_1(v24) = v23) | ~ (u1_rlvect_1(v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : (v23 = v22 | ~ (u2_struct_0(v24) = v23) | ~ (u2_struct_0(v24) = v22)) & ! [v22] : ! [v23] : ! [v24] : ( ~ (k3_xboole_0(v23, v22) = v24) | k3_xboole_0(v22, v23) = v24) & ! [v22] : ! [v23] : ! [v24] : ( ~ (k3_xboole_0(v22, v23) = v24) | k3_xboole_0(v23, v22) = v24) & ! [v22] : ! [v23] : ! [v24] : ( ~ (k3_xboole_0(v22, v23) = v24) | r1_tarski(v24, v22)) & ! [v22] : ! [v23] : ! [v24] : ( ~ (k2_zfmisc_1(v23, v23) = v24) | ~ (u1_struct_0(v22) = v23) | ~ l1_rlvect_1(v22) | ? [v25] : (u1_rlvect_1(v22) = v25 & m2_relset_1(v25, v24, v23) & v1_funct_2(v25, v24, v23) & v1_funct_1(v25))) & ! [v22] : ! [v23] : ! [v24] : ( ~ (k2_zfmisc_1(v22, v23) = v24) | ~ v1_xboole_0(v24) | v1_xboole_0(v23) | v1_xboole_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ( ~ (k1_zfmisc_1(v23) = v24) | ~ r1_tarski(v22, v23) | m1_subset_1(v22, v24)) & ! [v22] : ! [v23] : ! [v24] : ( ~ (k1_zfmisc_1(v23) = v24) | ~ m1_subset_1(v22, v24) | r1_tarski(v22, v23)) & ! [v22] : ! [v23] : ! [v24] : ( ~ (u1_struct_0(v23) = v24) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v2_vectsp_2(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v7_group_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v10_vectsp_1(v22) | v3_struct_0(v23) | v3_struct_0(v22) | ? [v25] : (k1_zfmisc_1(v24) = v25 & ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (k1_rmod_5(v22, v23, v28) = v29) | ~ (k1_rmod_5(v22, v23, v26) = v27) | ~ r1_tarski(v26, v28) | ~ m1_subset_1(v28, v25) | ~ m1_subset_1(v26, v25) | m1_rmod_2(v27, v22, v29)))) & ! [v22] : ! [v23] : ! [v24] : ( ~ (u1_vectsp_2(v22, v23) = v24) | ~ l1_struct_0(v22) | ~ l1_vectsp_2(v23, v22) | v1_funct_1(v24)) & ! [v22] : ! [v23] : ! [v24] : ( ~ (u1_vectsp_2(v22, v23) = v24) | ~ l1_struct_0(v22) | ~ l1_vectsp_2(v23, v22) | ? [v25] : ? [v26] : ? [v27] : (k2_zfmisc_1(v25, v26) = v27 & u1_struct_0(v23) = v25 & u1_struct_0(v22) = v26 & m2_relset_1(v24, v27, v25) & v1_funct_2(v24, v27, v25))) & ! [v22] : ! [v23] : ! [v24] : ( ~ m2_relset_1(v24, v22, v23) | m1_relset_1(v24, v22, v23)) & ! [v22] : ! [v23] : ! [v24] : ( ~ m1_relset_1(v24, v22, v23) | m2_relset_1(v24, v22, v23)) & ! [v22] : ! [v23] : ! [v24] : ( ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | ~ v3_struct_0(v24) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ( ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | l1_vectsp_2(v24, v22) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ( ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v5_vectsp_2(v24, v22) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ( ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v6_rlvect_1(v24) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ( ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v5_rlvect_1(v24) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ( ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v4_rlvect_1(v24) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ! [v24] : ( ~ m1_rmod_2(v24, v22, v23) | ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v3_rlvect_1(v24) | v3_struct_0(v23) | v3_struct_0(v22)) & ! [v22] : ! [v23] : (v23 = v22 | ~ (k3_xboole_0(v22, v22) = v23)) & ! [v22] : ! [v23] : (v23 = v22 | ~ v1_xboole_0(v23) | ~ v1_xboole_0(v22)) & ! [v22] : ! [v23] : (v23 = k1_xboole_0 | ~ (k3_xboole_0(v22, k1_xboole_0) = v23)) & ! [v22] : ! [v23] : ( ~ (k1_zfmisc_1(v22) = v23) | ~ v1_xboole_0(v23)) & ! [v22] : ! [v23] : ( ~ (k1_zfmisc_1(v22) = v23) | v1_xboole_0(v22) | ? [v24] : (m1_subset_1(v24, v23) & ~ v1_xboole_0(v24))) & ! [v22] : ! [v23] : ( ~ (k1_zfmisc_1(v22) = v23) | ? [v24] : (v1_xboole_0(v24) & m1_subset_1(v24, v23))) & ! [v22] : ! [v23] : ( ~ (u1_struct_0(v22) = v23) | ~ v1_xboole_0(v23) | ~ l1_struct_0(v22) | v3_struct_0(v22)) & ! [v22] : ! [v23] : ( ~ (u1_struct_0(v22) = v23) | ~ l2_struct_0(v22) | ? [v24] : (u2_struct_0(v22) = v24 & m1_subset_1(v24, v23))) & ! [v22] : ! [v23] : ( ~ (u1_struct_0(v22) = v23) | ~ l1_rlvect_1(v22) | ? [v24] : ? [v25] : (k2_zfmisc_1(v23, v23) = v25 & u1_rlvect_1(v22) = v24 & m2_relset_1(v24, v25, v23) & v1_funct_2(v24, v25, v23) & v1_funct_1(v24))) & ! [v22] : ! [v23] : ( ~ (u1_struct_0(v22) = v23) | ~ l1_struct_0(v22) | v3_struct_0(v22) | ? [v24] : ? [v25] : (k1_zfmisc_1(v23) = v24 & m1_subset_1(v25, v24) & ~ v1_xboole_0(v25))) & ! [v22] : ! [v23] : ( ~ (u1_rlvect_1(v22) = v23) | ~ l1_rlvect_1(v22) | v1_funct_1(v23)) & ! [v22] : ! [v23] : ( ~ (u1_rlvect_1(v22) = v23) | ~ l1_rlvect_1(v22) | ? [v24] : ? [v25] : (k2_zfmisc_1(v24, v24) = v25 & u1_struct_0(v22) = v24 & m2_relset_1(v23, v25, v24) & v1_funct_2(v23, v25, v24))) & ! [v22] : ! [v23] : ( ~ (u2_struct_0(v22) = v23) | ~ l2_struct_0(v22) | ? [v24] : (u1_struct_0(v22) = v24 & m1_subset_1(v23, v24))) & ! [v22] : ! [v23] : ( ~ v1_xboole_0(v23) | ~ r2_hidden(v22, v23)) & ! [v22] : ! [v23] : ( ~ r2_hidden(v23, v22) | ~ r2_hidden(v22, v23)) & ! [v22] : ! [v23] : ( ~ r2_hidden(v22, v23) | m1_subset_1(v22, v23)) & ! [v22] : ! [v23] : ( ~ l1_struct_0(v22) | ~ l1_vectsp_2(v23, v22) | l1_rlvect_1(v23)) & ! [v22] : ! [v23] : ( ~ m1_subset_1(v22, v23) | v1_xboole_0(v23) | r2_hidden(v22, v23)) & ! [v22] : ! [v23] : ( ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v3_struct_0(v23) | v3_struct_0(v22) | ? [v24] : (v3_vectsp_2(v24, v22) & m1_rmod_2(v24, v22, v23) & v5_vectsp_2(v24, v22) & v6_rlvect_1(v24) & v5_rlvect_1(v24) & v4_rlvect_1(v24) & v3_rlvect_1(v24) & ~ v3_struct_0(v24))) & ! [v22] : ! [v23] : ( ~ l1_vectsp_2(v23, v22) | ~ v5_vectsp_2(v23, v22) | ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v23) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v23) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v23) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v23) | ~ v3_rlvect_1(v22) | v3_struct_0(v23) | v3_struct_0(v22) | ? [v24] : m1_rmod_2(v24, v22, v23)) & ! [v22] : (v22 = k1_xboole_0 | ~ v1_xboole_0(v22)) & ! [v22] : ( ~ l2_vectsp_1(v22) | l2_struct_0(v22)) & ! [v22] : ( ~ l2_vectsp_1(v22) | l1_vectsp_1(v22)) & ! [v22] : ( ~ l2_struct_0(v22) | l1_struct_0(v22)) & ! [v22] : ( ~ l1_rlvect_1(v22) | l2_struct_0(v22)) & ! [v22] : ( ~ l1_group_1(v22) | l1_struct_0(v22)) & ! [v22] : ( ~ l1_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_group_1(v22) | v2_group_1(v22) | v3_struct_0(v22)) & ! [v22] : ( ~ l1_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_group_1(v22) | v6_vectsp_1(v22) | v3_struct_0(v22)) & ! [v22] : ( ~ l1_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v7_group_1(v22) | v2_group_1(v22) | v3_struct_0(v22)) & ! [v22] : ( ~ l1_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v7_group_1(v22) | v8_vectsp_1(v22) | v3_struct_0(v22)) & ! [v22] : ( ~ l1_vectsp_1(v22) | l1_group_1(v22)) & ! [v22] : ( ~ l1_struct_0(v22) | ? [v23] : (v3_vectsp_2(v23, v22) & l1_vectsp_2(v23, v22))) & ! [v22] : ( ~ l1_struct_0(v22) | ? [v23] : (l1_vectsp_2(v23, v22) & ~ v3_struct_0(v23))) & ! [v22] : ( ~ l1_struct_0(v22) | ? [v23] : l1_vectsp_2(v23, v22)) & ! [v22] : ( ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v22) | v3_struct_0(v22) | ? [v23] : (v3_vectsp_2(v23, v22) & l1_vectsp_2(v23, v22) & v5_vectsp_2(v23, v22) & v6_rlvect_1(v23) & v5_rlvect_1(v23) & v4_rlvect_1(v23) & v3_rlvect_1(v23) & ~ v3_struct_0(v23))) & ! [v22] : ( ~ l3_vectsp_1(v22) | ~ v8_vectsp_1(v22) | ~ v7_vectsp_1(v22) | ~ v6_vectsp_1(v22) | ~ v4_group_1(v22) | ~ v6_rlvect_1(v22) | ~ v5_rlvect_1(v22) | ~ v4_rlvect_1(v22) | ~ v3_rlvect_1(v22) | v3_struct_0(v22) | ? [v23] : (v3_vectsp_2(v23, v22) & l1_vectsp_2(v23, v22) & v6_rlvect_1(v23) & v5_rlvect_1(v23) & v4_rlvect_1(v23) & v3_rlvect_1(v23) & ~ v3_struct_0(v23))) & ! [v22] : ( ~ l3_vectsp_1(v22) | l2_vectsp_1(v22)) & ! [v22] : ( ~ l3_vectsp_1(v22) | l1_rlvect_1(v22)) & ? [v22] : ? [v23] : ? [v24] : m2_relset_1(v24, v22, v23) & ? [v22] : ? [v23] : ? [v24] : m1_relset_1(v24, v22, v23) & ? [v22] : ? [v23] : m1_subset_1(v23, v22) & ? [v22] : r1_tarski(v22, v22))
% 12.14/3.46 | 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, all_0_19_19, all_0_20_20, all_0_21_21 yields:
% 12.14/3.46 | (1) k2_rmod_3(all_0_21_21, all_0_20_20, all_0_16_16, all_0_12_12) = all_0_11_11 & k1_rmod_5(all_0_21_21, all_0_20_20, all_0_14_14) = all_0_13_13 & k1_rmod_5(all_0_21_21, all_0_20_20, all_0_15_15) = all_0_12_12 & k1_rmod_5(all_0_21_21, all_0_20_20, all_0_17_17) = all_0_16_16 & k5_subset_1(all_0_19_19, all_0_17_17, all_0_15_15) = all_0_14_14 & k1_zfmisc_1(all_0_19_19) = all_0_18_18 & u1_struct_0(all_0_20_20) = all_0_19_19 & v1_xboole_0(all_0_7_7) & v1_xboole_0(k1_xboole_0) & l2_vectsp_1(all_0_5_5) & l2_struct_0(all_0_4_4) & l2_struct_0(all_0_10_10) & l1_rlvect_1(all_0_1_1) & l1_group_1(all_0_0_0) & l1_vectsp_1(all_0_3_3) & l1_struct_0(all_0_2_2) & l1_struct_0(all_0_9_9) & m1_subset_1(all_0_15_15, all_0_18_18) & m1_subset_1(all_0_17_17, all_0_18_18) & l1_vectsp_2(all_0_20_20, all_0_21_21) & v5_vectsp_2(all_0_20_20, all_0_21_21) & l3_vectsp_1(all_0_6_6) & l3_vectsp_1(all_0_21_21) & v2_vectsp_2(all_0_21_21) & v8_vectsp_1(all_0_21_21) & v7_vectsp_1(all_0_21_21) & v6_vectsp_1(all_0_21_21) & v7_group_1(all_0_21_21) & v4_group_1(all_0_21_21) & v6_rlvect_1(all_0_20_20) & v6_rlvect_1(all_0_21_21) & v5_rlvect_1(all_0_20_20) & v5_rlvect_1(all_0_21_21) & v4_rlvect_1(all_0_20_20) & v4_rlvect_1(all_0_21_21) & v3_rlvect_1(all_0_20_20) & v3_rlvect_1(all_0_21_21) & ~ v1_xboole_0(all_0_8_8) & ~ m1_rmod_2(all_0_13_13, all_0_21_21, all_0_11_11) & ~ v10_vectsp_1(all_0_21_21) & ~ v3_struct_0(all_0_9_9) & ~ v3_struct_0(all_0_10_10) & ~ v3_struct_0(all_0_20_20) & ~ v3_struct_0(all_0_21_21) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v4 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = v3 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v2 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v1 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v6 = v0 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (u1_struct_0(v1) = v2) | ~ (u1_rlvect_1(v1) = v3) | ~ (u2_struct_0(v1) = v4) | ~ (u1_vectsp_2(v0, v1) = v5) | ~ (g1_vectsp_2(v0, v2, v3, v4, v5) = v6) | ~ v3_vectsp_2(v1, v0) | ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (g1_vectsp_2(v6, v5, v4, v3, v2) = v1) | ~ (g1_vectsp_2(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k2_rmod_3(v5, v4, v3, v2) = v1) | ~ (k2_rmod_3(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_rmod_3(v0, v1, v3, v4) = v5) | ~ m1_rmod_2(v4, v0, v1) | ~ m1_rmod_2(v3, v0, v1) | ~ m1_rmod_2(v2, v0, v4) | ~ m1_rmod_2(v2, v0, v3) | ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | m1_rmod_2(v2, v0, v5) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ~ v3_struct_0(v5) | v1_xboole_0(v1) | ? [v6] : ? [v7] : ? [v8] : (k2_zfmisc_1(v1, v7) = v8 & k2_zfmisc_1(v1, v1) = v6 & u1_struct_0(v0) = v7 & ( ~ m1_relset_1(v4, v8, v1) | ~ m1_relset_1(v2, v6, v1) | ~ v1_funct_2(v4, v8, v1) | ~ v1_funct_2(v2, v6, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | v1_xboole_0(v1) | v3_vectsp_2(v5, v0) | ? [v6] : ? [v7] : ? [v8] : (k2_zfmisc_1(v1, v7) = v8 & k2_zfmisc_1(v1, v1) = v6 & u1_struct_0(v0) = v7 & ( ~ m1_relset_1(v4, v8, v1) | ~ m1_relset_1(v2, v6, v1) | ~ v1_funct_2(v4, v8, v1) | ~ v1_funct_2(v2, v6, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | v3_vectsp_2(v5, v0) | ? [v6] : ? [v7] : ? [v8] : (k2_zfmisc_1(v1, v7) = v8 & k2_zfmisc_1(v1, v1) = v6 & u1_struct_0(v0) = v7 & ( ~ m1_relset_1(v4, v8, v1) | ~ m1_relset_1(v2, v6, v1) | ~ v1_funct_2(v4, v8, v1) | ~ v1_funct_2(v2, v6, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | l1_vectsp_2(v5, v0) | ? [v6] : ? [v7] : ? [v8] : (k2_zfmisc_1(v1, v7) = v8 & k2_zfmisc_1(v1, v1) = v6 & u1_struct_0(v0) = v7 & ( ~ m1_relset_1(v4, v8, v1) | ~ m1_relset_1(v2, v6, v1) | ~ v1_funct_2(v4, v8, v1) | ~ v1_funct_2(v2, v6, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k1_rmod_5(v4, v3, v2) = v1) | ~ (k1_rmod_5(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k5_subset_1(v4, v3, v2) = v1) | ~ (k5_subset_1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_rmod_3(v0, v1, v2, v3) = v4) | ~ m1_rmod_2(v3, v0, v1) | ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_vectsp_2(v4, v0) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_rmod_3(v0, v1, v2, v3) = v4) | ~ m1_rmod_2(v3, v0, v1) | ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | m1_rmod_2(v4, v0, v1) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k3_xboole_0(v1, v2) = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | k5_subset_1(v0, v1, v2) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_zfmisc_1(v2, v3) = v4) | ~ (u1_struct_0(v1) = v2) | ~ (u1_struct_0(v0) = v3) | ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | ? [v5] : (u1_vectsp_2(v0, v1) = v5 & m2_relset_1(v5, v4, v2) & v1_funct_2(v5, v4, v2) & v1_funct_1(v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_xboole_0(v3, v2) = v1) | ~ (k3_xboole_0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (u1_vectsp_2(v3, v2) = v1) | ~ (u1_vectsp_2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_rmod_5(v0, v1, v2) = v3) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v2_vectsp_2(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_vectsp_2(v3, v0) | v10_vectsp_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k1_zfmisc_1(v4) = v5 & u1_struct_0(v1) = v4 & ~ m1_subset_1(v2, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_rmod_5(v0, v1, v2) = v3) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v2_vectsp_2(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | m1_rmod_2(v3, v0, v1) | v10_vectsp_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k1_zfmisc_1(v4) = v5 & u1_struct_0(v1) = v4 & ~ m1_subset_1(v2, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v2, v1) = v3) | ? [v4] : ? [v5] : (k5_subset_1(v0, v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (k5_subset_1(v0, v2, v1) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (k3_xboole_0(v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : (k1_zfmisc_1(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] : (v3 = v2 | ~ (k5_subset_1(v1, v2, v2) = v3) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v0, v4)))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) | ? [v4] : (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_rlvect_1(v2) = v1) | ~ (u1_rlvect_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_struct_0(v2) = v1) | ~ (u2_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | k3_xboole_0(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | k3_xboole_0(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | r1_tarski(v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ l1_rlvect_1(v0) | ? [v3] : (u1_rlvect_1(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] : ( ~ (u1_struct_0(v1) = v2) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v2_vectsp_2(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v10_vectsp_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v3] : (k1_zfmisc_1(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (k1_rmod_5(v0, v1, v6) = v7) | ~ (k1_rmod_5(v0, v1, v4) = v5) | ~ r1_tarski(v4, v6) | ~ m1_subset_1(v6, v3) | ~ m1_subset_1(v4, v3) | m1_rmod_2(v5, v0, v7)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_vectsp_2(v0, v1) = v2) | ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | v1_funct_1(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_vectsp_2(v0, v1) = v2) | ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | ? [v3] : ? [v4] : ? [v5] : (k2_zfmisc_1(v3, v4) = v5 & u1_struct_0(v1) = v3 & u1_struct_0(v0) = v4 & m2_relset_1(v2, v5, v3) & v1_funct_2(v2, v5, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | ~ v3_struct_0(v2) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | l1_vectsp_2(v2, v0) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v5_vectsp_2(v2, v0) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v6_rlvect_1(v2) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v5_rlvect_1(v2) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v4_rlvect_1(v2) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_rlvect_1(v2) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (k3_xboole_0(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : (v1 = k1_xboole_0 | ~ (k3_xboole_0(v0, k1_xboole_0) = 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] : ( ~ (u1_struct_0(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_struct_0(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_struct_0(v0) | ? [v2] : (u2_struct_0(v0) = v2 & m1_subset_1(v2, v1))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_rlvect_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_rlvect_1(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) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_rlvect_1(v0) = v1) | ~ l1_rlvect_1(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (u1_rlvect_1(v0) = v1) | ~ l1_rlvect_1(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] : ( ~ (u2_struct_0(v0) = v1) | ~ l2_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2))) & ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) & ! [v0] : ! [v1] : ( ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | l1_rlvect_1(v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v2] : (v3_vectsp_2(v2, v0) & m1_rmod_2(v2, v0, v1) & v5_vectsp_2(v2, v0) & v6_rlvect_1(v2) & v5_rlvect_1(v2) & v4_rlvect_1(v2) & v3_rlvect_1(v2) & ~ v3_struct_0(v2))) & ! [v0] : ! [v1] : ( ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v2] : m1_rmod_2(v2, v0, v1)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ l2_vectsp_1(v0) | l2_struct_0(v0)) & ! [v0] : ( ~ l2_vectsp_1(v0) | l1_vectsp_1(v0)) & ! [v0] : ( ~ l2_struct_0(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ l1_rlvect_1(v0) | l2_struct_0(v0)) & ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ l1_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l1_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_group_1(v0) | v6_vectsp_1(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l1_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l1_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | v8_vectsp_1(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l1_vectsp_1(v0) | l1_group_1(v0)) & ! [v0] : ( ~ l1_struct_0(v0) | ? [v1] : (v3_vectsp_2(v1, v0) & l1_vectsp_2(v1, v0))) & ! [v0] : ( ~ l1_struct_0(v0) | ? [v1] : (l1_vectsp_2(v1, v0) & ~ v3_struct_0(v1))) & ! [v0] : ( ~ l1_struct_0(v0) | ? [v1] : l1_vectsp_2(v1, v0)) & ! [v0] : ( ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v0) | v3_struct_0(v0) | ? [v1] : (v3_vectsp_2(v1, v0) & l1_vectsp_2(v1, v0) & v5_vectsp_2(v1, v0) & v6_rlvect_1(v1) & v5_rlvect_1(v1) & v4_rlvect_1(v1) & v3_rlvect_1(v1) & ~ v3_struct_0(v1))) & ! [v0] : ( ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v0) | v3_struct_0(v0) | ? [v1] : (v3_vectsp_2(v1, v0) & l1_vectsp_2(v1, v0) & v6_rlvect_1(v1) & v5_rlvect_1(v1) & v4_rlvect_1(v1) & v3_rlvect_1(v1) & ~ v3_struct_0(v1))) & ! [v0] : ( ~ l3_vectsp_1(v0) | l2_vectsp_1(v0)) & ! [v0] : ( ~ l3_vectsp_1(v0) | l1_rlvect_1(v0)) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0)
% 12.14/3.50 |
% 12.14/3.50 | Applying alpha-rule on (1) yields:
% 12.14/3.50 | (2) u1_struct_0(all_0_20_20) = all_0_19_19
% 12.14/3.50 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v5_vectsp_2(v2, v0) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.14/3.50 | (4) ! [v0] : ! [v1] : (v1 = k1_xboole_0 | ~ (k3_xboole_0(v0, k1_xboole_0) = v1))
% 12.14/3.50 | (5) k1_zfmisc_1(all_0_19_19) = all_0_18_18
% 12.14/3.50 | (6) ! [v0] : ( ~ l2_vectsp_1(v0) | l2_struct_0(v0))
% 12.14/3.50 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v1 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1))))
% 12.14/3.50 | (8) ! [v0] : ( ~ l1_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0))
% 12.14/3.50 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3))
% 12.14/3.50 | (10) ~ m1_rmod_2(all_0_13_13, all_0_21_21, all_0_11_11)
% 12.14/3.50 | (11) v6_rlvect_1(all_0_20_20)
% 12.14/3.50 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v4_rlvect_1(v2) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.14/3.50 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_rmod_3(v0, v1, v3, v4) = v5) | ~ m1_rmod_2(v4, v0, v1) | ~ m1_rmod_2(v3, v0, v1) | ~ m1_rmod_2(v2, v0, v4) | ~ m1_rmod_2(v2, v0, v3) | ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | m1_rmod_2(v2, v0, v5) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.14/3.50 | (14) ! [v0] : ! [v1] : (v1 = v0 | ~ (k3_xboole_0(v0, v0) = v1))
% 12.14/3.50 | (15) ~ v3_struct_0(all_0_20_20)
% 12.14/3.50 | (16) ~ v10_vectsp_1(all_0_21_21)
% 12.14/3.50 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 12.14/3.50 | (18) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 12.14/3.50 | (19) v5_rlvect_1(all_0_21_21)
% 12.14/3.50 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_rmod_5(v0, v1, v2) = v3) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v2_vectsp_2(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_vectsp_2(v3, v0) | v10_vectsp_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k1_zfmisc_1(v4) = v5 & u1_struct_0(v1) = v4 & ~ m1_subset_1(v2, v5)))
% 12.14/3.50 | (21) l2_struct_0(all_0_10_10)
% 12.14/3.50 | (22) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_struct_0(v0) | ? [v2] : (u2_struct_0(v0) = v2 & m1_subset_1(v2, v1)))
% 12.14/3.50 | (23) v4_group_1(all_0_21_21)
% 12.14/3.50 | (24) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_struct_0(v0) | v3_struct_0(v0))
% 12.14/3.50 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | v3_vectsp_2(v5, v0) | ? [v6] : ? [v7] : ? [v8] : (k2_zfmisc_1(v1, v7) = v8 & k2_zfmisc_1(v1, v1) = v6 & u1_struct_0(v0) = v7 & ( ~ m1_relset_1(v4, v8, v1) | ~ m1_relset_1(v2, v6, v1) | ~ v1_funct_2(v4, v8, v1) | ~ v1_funct_2(v2, v6, v1))))
% 12.14/3.50 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_vectsp_2(v0, v1) = v2) | ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | ? [v3] : ? [v4] : ? [v5] : (k2_zfmisc_1(v3, v4) = v5 & u1_struct_0(v1) = v3 & u1_struct_0(v0) = v4 & m2_relset_1(v2, v5, v3) & v1_funct_2(v2, v5, v3)))
% 12.14/3.50 | (27) m1_subset_1(all_0_15_15, all_0_18_18)
% 12.14/3.50 | (28) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 12.14/3.50 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | k3_xboole_0(v1, v0) = v2)
% 12.14/3.50 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | k3_xboole_0(v0, v1) = v2)
% 12.14/3.50 | (31) ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0))
% 12.14/3.51 | (32) l1_group_1(all_0_0_0)
% 12.14/3.51 | (33) v4_rlvect_1(all_0_20_20)
% 12.14/3.51 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_zfmisc_1(v2, v3) = v4) | ~ (u1_struct_0(v1) = v2) | ~ (u1_struct_0(v0) = v3) | ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | ? [v5] : (u1_vectsp_2(v0, v1) = v5 & m2_relset_1(v5, v4, v2) & v1_funct_2(v5, v4, v2) & v1_funct_1(v5)))
% 12.14/3.51 | (35) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 12.14/3.51 | (36) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 12.14/3.51 | (37) ! [v0] : ( ~ l1_rlvect_1(v0) | l2_struct_0(v0))
% 12.14/3.51 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k2_rmod_3(v5, v4, v3, v2) = v1) | ~ (k2_rmod_3(v5, v4, v3, v2) = v0))
% 12.14/3.51 | (39) l2_vectsp_1(all_0_5_5)
% 12.14/3.51 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v1) = v2) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v2_vectsp_2(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v10_vectsp_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v3] : (k1_zfmisc_1(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (k1_rmod_5(v0, v1, v6) = v7) | ~ (k1_rmod_5(v0, v1, v4) = v5) | ~ r1_tarski(v4, v6) | ~ m1_subset_1(v6, v3) | ~ m1_subset_1(v4, v3) | m1_rmod_2(v5, v0, v7))))
% 12.14/3.51 | (41) ! [v0] : ( ~ l3_vectsp_1(v0) | l1_rlvect_1(v0))
% 12.14/3.51 | (42) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 12.14/3.51 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v2 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1))))
% 12.14/3.51 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (g1_vectsp_2(v6, v5, v4, v3, v2) = v1) | ~ (g1_vectsp_2(v6, v5, v4, v3, v2) = v0))
% 12.14/3.51 | (45) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 12.14/3.51 | (46) k1_rmod_5(all_0_21_21, all_0_20_20, all_0_15_15) = all_0_12_12
% 12.14/3.51 | (47) v6_vectsp_1(all_0_21_21)
% 12.14/3.51 | (48) ! [v0] : ( ~ l1_struct_0(v0) | ? [v1] : l1_vectsp_2(v1, v0))
% 12.14/3.51 | (49) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 12.14/3.51 | (50) v4_rlvect_1(all_0_21_21)
% 12.14/3.51 | (51) l3_vectsp_1(all_0_6_6)
% 12.14/3.51 | (52) l1_struct_0(all_0_9_9)
% 12.14/3.51 | (53) ! [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)))
% 12.14/3.51 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_rmod_3(v0, v1, v2, v3) = v4) | ~ m1_rmod_2(v3, v0, v1) | ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | m1_rmod_2(v4, v0, v1) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.14/3.51 | (55) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (k5_subset_1(v1, v2, v2) = v3) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v0, v4))))
% 12.14/3.51 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = v3 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1))))
% 12.14/3.51 | (57) v8_vectsp_1(all_0_21_21)
% 12.14/3.51 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k1_rmod_5(v4, v3, v2) = v1) | ~ (k1_rmod_5(v4, v3, v2) = v0))
% 12.14/3.51 | (59) v1_xboole_0(all_0_7_7)
% 12.14/3.51 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_xboole_0(v3, v2) = v1) | ~ (k3_xboole_0(v3, v2) = v0))
% 12.14/3.51 | (61) ! [v0] : ( ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v0) | v3_struct_0(v0) | ? [v1] : (v3_vectsp_2(v1, v0) & l1_vectsp_2(v1, v0) & v6_rlvect_1(v1) & v5_rlvect_1(v1) & v4_rlvect_1(v1) & v3_rlvect_1(v1) & ~ v3_struct_0(v1)))
% 12.14/3.51 | (62) ! [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)))
% 12.14/3.51 | (63) k2_rmod_3(all_0_21_21, all_0_20_20, all_0_16_16, all_0_12_12) = all_0_11_11
% 12.14/3.51 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 12.14/3.51 | (65) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 12.14/3.51 | (66) ! [v0] : ( ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v0) | v3_struct_0(v0) | ? [v1] : (v3_vectsp_2(v1, v0) & l1_vectsp_2(v1, v0) & v5_vectsp_2(v1, v0) & v6_rlvect_1(v1) & v5_rlvect_1(v1) & v4_rlvect_1(v1) & v3_rlvect_1(v1) & ~ v3_struct_0(v1)))
% 12.64/3.51 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ l1_rlvect_1(v0) | ? [v3] : (u1_rlvect_1(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 12.64/3.51 | (68) k1_rmod_5(all_0_21_21, all_0_20_20, all_0_17_17) = all_0_16_16
% 12.64/3.51 | (69) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 12.64/3.51 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (u1_struct_0(v1) = v2) | ~ (u1_rlvect_1(v1) = v3) | ~ (u2_struct_0(v1) = v4) | ~ (u1_vectsp_2(v0, v1) = v5) | ~ (g1_vectsp_2(v0, v2, v3, v4, v5) = v6) | ~ v3_vectsp_2(v1, v0) | ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0))
% 12.64/3.51 | (71) l3_vectsp_1(all_0_21_21)
% 12.64/3.51 | (72) l1_struct_0(all_0_2_2)
% 12.64/3.51 | (73) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_rlvect_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_rlvect_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 12.64/3.51 | (74) v5_rlvect_1(all_0_20_20)
% 12.64/3.51 | (75) ! [v0] : ( ~ l1_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | v8_vectsp_1(v0) | v3_struct_0(v0))
% 12.64/3.51 | (76) ~ v1_xboole_0(all_0_8_8)
% 12.64/3.51 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_rmod_5(v0, v1, v2) = v3) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v2_vectsp_2(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v7_group_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | m1_rmod_2(v3, v0, v1) | v10_vectsp_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v4] : ? [v5] : (k1_zfmisc_1(v4) = v5 & u1_struct_0(v1) = v4 & ~ m1_subset_1(v2, v5)))
% 12.64/3.52 | (78) v2_vectsp_2(all_0_21_21)
% 12.64/3.52 | (79) ! [v0] : ! [v1] : ( ~ (u2_struct_0(v0) = v1) | ~ l2_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2)))
% 12.64/3.52 | (80) ! [v0] : ! [v1] : ( ~ (u1_rlvect_1(v0) = v1) | ~ l1_rlvect_1(v0) | v1_funct_1(v1))
% 12.64/3.52 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (k5_subset_1(v0, v2, v1) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 12.64/3.52 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k3_xboole_0(v1, v2) = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | k5_subset_1(v0, v1, v2) = v4)
% 12.64/3.52 | (83) m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.52 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 12.64/3.52 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 12.64/3.52 | (86) ~ v3_struct_0(all_0_9_9)
% 12.64/3.52 | (87) ! [v0] : ! [v1] : ( ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v2] : m1_rmod_2(v2, v0, v1))
% 12.64/3.52 | (88) ! [v0] : ( ~ l3_vectsp_1(v0) | l2_vectsp_1(v0))
% 12.64/3.52 | (89) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | l1_vectsp_2(v2, v0) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.64/3.52 | (90) v1_xboole_0(k1_xboole_0)
% 12.64/3.52 | (91) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_vectsp_2(v0, v1) = v2) | ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | v1_funct_1(v2))
% 12.64/3.52 | (92) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_rlvect_1(v2) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.64/3.52 | (93) ! [v0] : ( ~ l2_struct_0(v0) | l1_struct_0(v0))
% 12.64/3.52 | (94) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 12.64/3.52 | (95) ! [v0] : ( ~ l1_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_group_1(v0) | v6_vectsp_1(v0) | v3_struct_0(v0))
% 12.64/3.52 | (96) v3_rlvect_1(all_0_21_21)
% 12.64/3.52 | (97) ! [v0] : ( ~ l1_struct_0(v0) | ? [v1] : (v3_vectsp_2(v1, v0) & l1_vectsp_2(v1, v0)))
% 12.64/3.52 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 12.64/3.52 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 12.64/3.52 | (100) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 12.64/3.52 | (101) l1_rlvect_1(all_0_1_1)
% 12.64/3.52 | (102) ~ v3_struct_0(all_0_21_21)
% 12.64/3.52 | (103) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | r1_tarski(v2, v0))
% 12.64/3.52 | (104) k1_rmod_5(all_0_21_21, all_0_20_20, all_0_14_14) = all_0_13_13
% 12.64/3.52 | (105) ! [v0] : ( ~ l1_struct_0(v0) | ? [v1] : (l1_vectsp_2(v1, v0) & ~ v3_struct_0(v1)))
% 12.64/3.52 | (106) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 12.64/3.52 | (107) ! [v0] : ( ~ l1_vectsp_1(v0) | l1_group_1(v0))
% 12.64/3.52 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : (k1_zfmisc_1(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 12.64/3.52 | (109) ! [v0] : ( ~ l1_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0))
% 12.64/3.52 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v4 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1))))
% 12.64/3.52 | (111) v7_group_1(all_0_21_21)
% 12.64/3.52 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v2, v1) = v3) | ? [v4] : ? [v5] : (k5_subset_1(v0, v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 12.64/3.52 | (113) l2_struct_0(all_0_4_4)
% 12.64/3.52 | (114) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | ~ v3_struct_0(v2) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.64/3.52 | (115) ~ v3_struct_0(all_0_10_10)
% 12.64/3.52 | (116) v7_vectsp_1(all_0_21_21)
% 12.64/3.52 | (117) ! [v0] : ! [v1] : ( ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v2] : (v3_vectsp_2(v2, v0) & m1_rmod_2(v2, v0, v1) & v5_vectsp_2(v2, v0) & v6_rlvect_1(v2) & v5_rlvect_1(v2) & v4_rlvect_1(v2) & v3_rlvect_1(v2) & ~ v3_struct_0(v2)))
% 12.64/3.52 | (118) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 12.64/3.52 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ~ v3_struct_0(v5) | v1_xboole_0(v1) | ? [v6] : ? [v7] : ? [v8] : (k2_zfmisc_1(v1, v7) = v8 & k2_zfmisc_1(v1, v1) = v6 & u1_struct_0(v0) = v7 & ( ~ m1_relset_1(v4, v8, v1) | ~ m1_relset_1(v2, v6, v1) | ~ v1_funct_2(v4, v8, v1) | ~ v1_funct_2(v2, v6, v1))))
% 12.64/3.52 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | l1_vectsp_2(v5, v0) | ? [v6] : ? [v7] : ? [v8] : (k2_zfmisc_1(v1, v7) = v8 & k2_zfmisc_1(v1, v1) = v6 & u1_struct_0(v0) = v7 & ( ~ m1_relset_1(v4, v8, v1) | ~ m1_relset_1(v2, v6, v1) | ~ v1_funct_2(v4, v8, v1) | ~ v1_funct_2(v2, v6, v1))))
% 12.64/3.52 | (121) ! [v0] : ( ~ l2_vectsp_1(v0) | l1_vectsp_1(v0))
% 12.64/3.52 | (122) l1_vectsp_1(all_0_3_3)
% 12.64/3.52 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u2_struct_0(v2) = v1) | ~ (u2_struct_0(v2) = v0))
% 12.64/3.52 | (124) k5_subset_1(all_0_19_19, all_0_17_17, all_0_15_15) = all_0_14_14
% 12.64/3.52 | (125) ? [v0] : r1_tarski(v0, v0)
% 12.64/3.52 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 12.64/3.52 | (127) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 12.64/3.52 | (128) ! [v0] : ! [v1] : ( ~ (u1_rlvect_1(v0) = v1) | ~ l1_rlvect_1(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)))
% 12.64/3.52 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (k3_xboole_0(v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 12.64/3.52 | (130) l1_vectsp_2(all_0_20_20, all_0_21_21)
% 12.64/3.52 | (131) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v5_rlvect_1(v2) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.64/3.52 | (132) ? [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)))
% 12.64/3.53 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v6_rlvect_1(v2) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.64/3.53 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | v1_xboole_0(v1) | v3_vectsp_2(v5, v0) | ? [v6] : ? [v7] : ? [v8] : (k2_zfmisc_1(v1, v7) = v8 & k2_zfmisc_1(v1, v1) = v6 & u1_struct_0(v0) = v7 & ( ~ m1_relset_1(v4, v8, v1) | ~ m1_relset_1(v2, v6, v1) | ~ v1_funct_2(v4, v8, v1) | ~ v1_funct_2(v2, v6, v1))))
% 12.64/3.53 | (135) v3_rlvect_1(all_0_20_20)
% 12.64/3.53 | (136) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_rlvect_1(v2) = v1) | ~ (u1_rlvect_1(v2) = v0))
% 12.64/3.53 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_rmod_3(v0, v1, v2, v3) = v4) | ~ m1_rmod_2(v3, v0, v1) | ~ m1_rmod_2(v2, v0, v1) | ~ l1_vectsp_2(v1, v0) | ~ v5_vectsp_2(v1, v0) | ~ l3_vectsp_1(v0) | ~ v8_vectsp_1(v0) | ~ v7_vectsp_1(v0) | ~ v6_vectsp_1(v0) | ~ v4_group_1(v0) | ~ v6_rlvect_1(v1) | ~ v6_rlvect_1(v0) | ~ v5_rlvect_1(v1) | ~ v5_rlvect_1(v0) | ~ v4_rlvect_1(v1) | ~ v4_rlvect_1(v0) | ~ v3_rlvect_1(v1) | ~ v3_rlvect_1(v0) | v3_vectsp_2(v4, v0) | v3_struct_0(v1) | v3_struct_0(v0))
% 12.64/3.53 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (u1_vectsp_2(v3, v2) = v1) | ~ (u1_vectsp_2(v3, v2) = v0))
% 12.64/3.53 | (139) v6_rlvect_1(all_0_21_21)
% 12.64/3.53 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v6 = v0 | ~ (g1_vectsp_2(v6, v7, v8, v9, v10) = v5) | ~ (g1_vectsp_2(v0, v1, v2, v3, v4) = v5) | ~ v1_funct_1(v4) | ~ v1_funct_1(v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v3, v1) | ? [v11] : ? [v12] : ? [v13] : (k2_zfmisc_1(v1, v12) = v13 & k2_zfmisc_1(v1, v1) = v11 & u1_struct_0(v0) = v12 & ( ~ m1_relset_1(v4, v13, v1) | ~ m1_relset_1(v2, v11, v1) | ~ v1_funct_2(v4, v13, v1) | ~ v1_funct_2(v2, v11, v1))))
% 12.64/3.53 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k5_subset_1(v4, v3, v2) = v1) | ~ (k5_subset_1(v4, v3, v2) = v0))
% 12.64/3.53 | (142) v5_vectsp_2(all_0_20_20, all_0_21_21)
% 12.64/3.53 | (143) ! [v0] : ! [v1] : ( ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | l1_rlvect_1(v1))
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (112) with all_0_14_14, all_0_17_17, all_0_15_15, all_0_19_19 and discharging atoms k5_subset_1(all_0_19_19, all_0_17_17, all_0_15_15) = all_0_14_14, yields:
% 12.64/3.53 | (144) ? [v0] : ? [v1] : (k5_subset_1(all_0_19_19, all_0_15_15, all_0_17_17) = v1 & k1_zfmisc_1(all_0_19_19) = v0 & (v1 = all_0_14_14 | ~ m1_subset_1(all_0_15_15, v0) | ~ m1_subset_1(all_0_17_17, v0)))
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (129) with all_0_14_14, all_0_15_15, all_0_17_17, all_0_19_19 and discharging atoms k5_subset_1(all_0_19_19, all_0_17_17, all_0_15_15) = all_0_14_14, yields:
% 12.64/3.53 | (145) ? [v0] : ? [v1] : (k3_xboole_0(all_0_17_17, all_0_15_15) = v1 & k1_zfmisc_1(all_0_19_19) = v0 & (v1 = all_0_14_14 | ~ m1_subset_1(all_0_15_15, v0) | ~ m1_subset_1(all_0_17_17, v0)))
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (108) with all_0_14_14, all_0_15_15, all_0_17_17, all_0_19_19 and discharging atoms k5_subset_1(all_0_19_19, all_0_17_17, all_0_15_15) = all_0_14_14, yields:
% 12.64/3.53 | (146) ? [v0] : (k1_zfmisc_1(all_0_19_19) = v0 & ( ~ m1_subset_1(all_0_15_15, v0) | ~ m1_subset_1(all_0_17_17, v0) | m1_subset_1(all_0_14_14, v0)))
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (77) with all_0_13_13, all_0_14_14, all_0_20_20, all_0_21_21 and discharging atoms k1_rmod_5(all_0_21_21, all_0_20_20, all_0_14_14) = all_0_13_13, l1_vectsp_2(all_0_20_20, all_0_21_21), v5_vectsp_2(all_0_20_20, all_0_21_21), l3_vectsp_1(all_0_21_21), v2_vectsp_2(all_0_21_21), v8_vectsp_1(all_0_21_21), v7_vectsp_1(all_0_21_21), v6_vectsp_1(all_0_21_21), v7_group_1(all_0_21_21), v4_group_1(all_0_21_21), v6_rlvect_1(all_0_20_20), v6_rlvect_1(all_0_21_21), v5_rlvect_1(all_0_20_20), v5_rlvect_1(all_0_21_21), v4_rlvect_1(all_0_20_20), v4_rlvect_1(all_0_21_21), v3_rlvect_1(all_0_20_20), v3_rlvect_1(all_0_21_21), ~ v10_vectsp_1(all_0_21_21), ~ v3_struct_0(all_0_20_20), ~ v3_struct_0(all_0_21_21), yields:
% 12.64/3.53 | (147) m1_rmod_2(all_0_13_13, all_0_21_21, all_0_20_20) | ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & u1_struct_0(all_0_20_20) = v0 & ~ m1_subset_1(all_0_14_14, v1))
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (77) with all_0_12_12, all_0_15_15, all_0_20_20, all_0_21_21 and discharging atoms k1_rmod_5(all_0_21_21, all_0_20_20, all_0_15_15) = all_0_12_12, l1_vectsp_2(all_0_20_20, all_0_21_21), v5_vectsp_2(all_0_20_20, all_0_21_21), l3_vectsp_1(all_0_21_21), v2_vectsp_2(all_0_21_21), v8_vectsp_1(all_0_21_21), v7_vectsp_1(all_0_21_21), v6_vectsp_1(all_0_21_21), v7_group_1(all_0_21_21), v4_group_1(all_0_21_21), v6_rlvect_1(all_0_20_20), v6_rlvect_1(all_0_21_21), v5_rlvect_1(all_0_20_20), v5_rlvect_1(all_0_21_21), v4_rlvect_1(all_0_20_20), v4_rlvect_1(all_0_21_21), v3_rlvect_1(all_0_20_20), v3_rlvect_1(all_0_21_21), ~ v10_vectsp_1(all_0_21_21), ~ v3_struct_0(all_0_20_20), ~ v3_struct_0(all_0_21_21), yields:
% 12.64/3.53 | (148) m1_rmod_2(all_0_12_12, all_0_21_21, all_0_20_20) | ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & u1_struct_0(all_0_20_20) = v0 & ~ m1_subset_1(all_0_15_15, v1))
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (77) with all_0_16_16, all_0_17_17, all_0_20_20, all_0_21_21 and discharging atoms k1_rmod_5(all_0_21_21, all_0_20_20, all_0_17_17) = all_0_16_16, l1_vectsp_2(all_0_20_20, all_0_21_21), v5_vectsp_2(all_0_20_20, all_0_21_21), l3_vectsp_1(all_0_21_21), v2_vectsp_2(all_0_21_21), v8_vectsp_1(all_0_21_21), v7_vectsp_1(all_0_21_21), v6_vectsp_1(all_0_21_21), v7_group_1(all_0_21_21), v4_group_1(all_0_21_21), v6_rlvect_1(all_0_20_20), v6_rlvect_1(all_0_21_21), v5_rlvect_1(all_0_20_20), v5_rlvect_1(all_0_21_21), v4_rlvect_1(all_0_20_20), v4_rlvect_1(all_0_21_21), v3_rlvect_1(all_0_20_20), v3_rlvect_1(all_0_21_21), ~ v10_vectsp_1(all_0_21_21), ~ v3_struct_0(all_0_20_20), ~ v3_struct_0(all_0_21_21), yields:
% 12.64/3.53 | (149) m1_rmod_2(all_0_16_16, all_0_21_21, all_0_20_20) | ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & u1_struct_0(all_0_20_20) = v0 & ~ m1_subset_1(all_0_17_17, v1))
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (40) with all_0_19_19, all_0_20_20, all_0_21_21 and discharging atoms u1_struct_0(all_0_20_20) = all_0_19_19, l1_vectsp_2(all_0_20_20, all_0_21_21), v5_vectsp_2(all_0_20_20, all_0_21_21), l3_vectsp_1(all_0_21_21), v2_vectsp_2(all_0_21_21), v8_vectsp_1(all_0_21_21), v7_vectsp_1(all_0_21_21), v6_vectsp_1(all_0_21_21), v7_group_1(all_0_21_21), v4_group_1(all_0_21_21), v6_rlvect_1(all_0_20_20), v6_rlvect_1(all_0_21_21), v5_rlvect_1(all_0_20_20), v5_rlvect_1(all_0_21_21), v4_rlvect_1(all_0_20_20), v4_rlvect_1(all_0_21_21), v3_rlvect_1(all_0_20_20), v3_rlvect_1(all_0_21_21), ~ v10_vectsp_1(all_0_21_21), ~ v3_struct_0(all_0_20_20), ~ v3_struct_0(all_0_21_21), yields:
% 12.64/3.53 | (150) ? [v0] : (k1_zfmisc_1(all_0_19_19) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k1_rmod_5(all_0_21_21, all_0_20_20, v3) = v4) | ~ (k1_rmod_5(all_0_21_21, all_0_20_20, v1) = v2) | ~ r1_tarski(v1, v3) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v1, v0) | m1_rmod_2(v2, all_0_21_21, v4)))
% 12.64/3.53 |
% 12.64/3.53 | Instantiating (150) with all_29_0_35 yields:
% 12.64/3.53 | (151) k1_zfmisc_1(all_0_19_19) = all_29_0_35 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_rmod_5(all_0_21_21, all_0_20_20, v2) = v3) | ~ (k1_rmod_5(all_0_21_21, all_0_20_20, v0) = v1) | ~ r1_tarski(v0, v2) | ~ m1_subset_1(v2, all_29_0_35) | ~ m1_subset_1(v0, all_29_0_35) | m1_rmod_2(v1, all_0_21_21, v3))
% 12.64/3.53 |
% 12.64/3.53 | Applying alpha-rule on (151) yields:
% 12.64/3.53 | (152) k1_zfmisc_1(all_0_19_19) = all_29_0_35
% 12.64/3.53 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_rmod_5(all_0_21_21, all_0_20_20, v2) = v3) | ~ (k1_rmod_5(all_0_21_21, all_0_20_20, v0) = v1) | ~ r1_tarski(v0, v2) | ~ m1_subset_1(v2, all_29_0_35) | ~ m1_subset_1(v0, all_29_0_35) | m1_rmod_2(v1, all_0_21_21, v3))
% 12.64/3.53 |
% 12.64/3.53 | Instantiating (146) with all_38_0_39 yields:
% 12.64/3.53 | (154) k1_zfmisc_1(all_0_19_19) = all_38_0_39 & ( ~ m1_subset_1(all_0_15_15, all_38_0_39) | ~ m1_subset_1(all_0_17_17, all_38_0_39) | m1_subset_1(all_0_14_14, all_38_0_39))
% 12.64/3.53 |
% 12.64/3.53 | Applying alpha-rule on (154) yields:
% 12.64/3.53 | (155) k1_zfmisc_1(all_0_19_19) = all_38_0_39
% 12.64/3.53 | (156) ~ m1_subset_1(all_0_15_15, all_38_0_39) | ~ m1_subset_1(all_0_17_17, all_38_0_39) | m1_subset_1(all_0_14_14, all_38_0_39)
% 12.64/3.53 |
% 12.64/3.53 | Instantiating (145) with all_40_0_40, all_40_1_41 yields:
% 12.64/3.53 | (157) k3_xboole_0(all_0_17_17, all_0_15_15) = all_40_0_40 & k1_zfmisc_1(all_0_19_19) = all_40_1_41 & (all_40_0_40 = all_0_14_14 | ~ m1_subset_1(all_0_15_15, all_40_1_41) | ~ m1_subset_1(all_0_17_17, all_40_1_41))
% 12.64/3.53 |
% 12.64/3.53 | Applying alpha-rule on (157) yields:
% 12.64/3.53 | (158) k3_xboole_0(all_0_17_17, all_0_15_15) = all_40_0_40
% 12.64/3.53 | (159) k1_zfmisc_1(all_0_19_19) = all_40_1_41
% 12.64/3.53 | (160) all_40_0_40 = all_0_14_14 | ~ m1_subset_1(all_0_15_15, all_40_1_41) | ~ m1_subset_1(all_0_17_17, all_40_1_41)
% 12.64/3.53 |
% 12.64/3.53 | Instantiating (144) with all_42_0_42, all_42_1_43 yields:
% 12.64/3.53 | (161) k5_subset_1(all_0_19_19, all_0_15_15, all_0_17_17) = all_42_0_42 & k1_zfmisc_1(all_0_19_19) = all_42_1_43 & (all_42_0_42 = all_0_14_14 | ~ m1_subset_1(all_0_15_15, all_42_1_43) | ~ m1_subset_1(all_0_17_17, all_42_1_43))
% 12.64/3.53 |
% 12.64/3.53 | Applying alpha-rule on (161) yields:
% 12.64/3.53 | (162) k5_subset_1(all_0_19_19, all_0_15_15, all_0_17_17) = all_42_0_42
% 12.64/3.53 | (163) k1_zfmisc_1(all_0_19_19) = all_42_1_43
% 12.64/3.53 | (164) all_42_0_42 = all_0_14_14 | ~ m1_subset_1(all_0_15_15, all_42_1_43) | ~ m1_subset_1(all_0_17_17, all_42_1_43)
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (45) with all_0_19_19, all_40_1_41, all_0_18_18 and discharging atoms k1_zfmisc_1(all_0_19_19) = all_40_1_41, k1_zfmisc_1(all_0_19_19) = all_0_18_18, yields:
% 12.64/3.53 | (165) all_40_1_41 = all_0_18_18
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (45) with all_0_19_19, all_38_0_39, all_42_1_43 and discharging atoms k1_zfmisc_1(all_0_19_19) = all_42_1_43, k1_zfmisc_1(all_0_19_19) = all_38_0_39, yields:
% 12.64/3.53 | (166) all_42_1_43 = all_38_0_39
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (45) with all_0_19_19, all_38_0_39, all_40_1_41 and discharging atoms k1_zfmisc_1(all_0_19_19) = all_40_1_41, k1_zfmisc_1(all_0_19_19) = all_38_0_39, yields:
% 12.64/3.53 | (167) all_40_1_41 = all_38_0_39
% 12.64/3.53 |
% 12.64/3.53 | Instantiating formula (45) with all_0_19_19, all_29_0_35, all_42_1_43 and discharging atoms k1_zfmisc_1(all_0_19_19) = all_42_1_43, k1_zfmisc_1(all_0_19_19) = all_29_0_35, yields:
% 12.64/3.53 | (168) all_42_1_43 = all_29_0_35
% 12.64/3.53 |
% 12.64/3.54 | Combining equations (166,168) yields a new equation:
% 12.64/3.54 | (169) all_38_0_39 = all_29_0_35
% 12.64/3.54 |
% 12.64/3.54 | Simplifying 169 yields:
% 12.64/3.54 | (170) all_38_0_39 = all_29_0_35
% 12.64/3.54 |
% 12.64/3.54 | Combining equations (167,165) yields a new equation:
% 12.64/3.54 | (171) all_38_0_39 = all_0_18_18
% 12.64/3.54 |
% 12.64/3.54 | Simplifying 171 yields:
% 12.64/3.54 | (172) all_38_0_39 = all_0_18_18
% 12.64/3.54 |
% 12.64/3.54 | Combining equations (172,170) yields a new equation:
% 12.64/3.54 | (173) all_29_0_35 = all_0_18_18
% 12.64/3.54 |
% 12.64/3.54 | Combining equations (173,170) yields a new equation:
% 12.64/3.54 | (172) all_38_0_39 = all_0_18_18
% 12.64/3.54 |
% 12.64/3.54 | Combining equations (173,168) yields a new equation:
% 12.64/3.54 | (175) all_42_1_43 = all_0_18_18
% 12.64/3.54 |
% 12.64/3.54 | From (173) and (152) follows:
% 12.64/3.54 | (5) k1_zfmisc_1(all_0_19_19) = all_0_18_18
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (164), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (177) ~ m1_subset_1(all_0_15_15, all_42_1_43)
% 12.64/3.54 |
% 12.64/3.54 | From (175) and (177) follows:
% 12.64/3.54 | (178) ~ m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | Using (27) and (178) yields:
% 12.64/3.54 | (179) $false
% 12.64/3.54 |
% 12.64/3.54 |-The branch is then unsatisfiable
% 12.64/3.54 |-Branch two:
% 12.64/3.54 | (180) m1_subset_1(all_0_15_15, all_42_1_43)
% 12.64/3.54 | (181) all_42_0_42 = all_0_14_14 | ~ m1_subset_1(all_0_17_17, all_42_1_43)
% 12.64/3.54 |
% 12.64/3.54 | From (175) and (180) follows:
% 12.64/3.54 | (27) m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (148), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (183) m1_rmod_2(all_0_12_12, all_0_21_21, all_0_20_20)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (149), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (184) m1_rmod_2(all_0_16_16, all_0_21_21, all_0_20_20)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (156), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (185) ~ m1_subset_1(all_0_15_15, all_38_0_39)
% 12.64/3.54 |
% 12.64/3.54 | From (172) and (185) follows:
% 12.64/3.54 | (178) ~ m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | Using (27) and (178) yields:
% 12.64/3.54 | (179) $false
% 12.64/3.54 |
% 12.64/3.54 |-The branch is then unsatisfiable
% 12.64/3.54 |-Branch two:
% 12.64/3.54 | (188) m1_subset_1(all_0_15_15, all_38_0_39)
% 12.64/3.54 | (189) ~ m1_subset_1(all_0_17_17, all_38_0_39) | m1_subset_1(all_0_14_14, all_38_0_39)
% 12.64/3.54 |
% 12.64/3.54 | From (172) and (188) follows:
% 12.64/3.54 | (27) m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (189), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (191) ~ m1_subset_1(all_0_17_17, all_38_0_39)
% 12.64/3.54 |
% 12.64/3.54 | From (172) and (191) follows:
% 12.64/3.54 | (192) ~ m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | Using (83) and (192) yields:
% 12.64/3.54 | (179) $false
% 12.64/3.54 |
% 12.64/3.54 |-The branch is then unsatisfiable
% 12.64/3.54 |-Branch two:
% 12.64/3.54 | (194) m1_subset_1(all_0_17_17, all_38_0_39)
% 12.64/3.54 | (195) m1_subset_1(all_0_14_14, all_38_0_39)
% 12.64/3.54 |
% 12.64/3.54 | From (172) and (195) follows:
% 12.64/3.54 | (196) m1_subset_1(all_0_14_14, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | From (172) and (194) follows:
% 12.64/3.54 | (83) m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (147), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (198) m1_rmod_2(all_0_13_13, all_0_21_21, all_0_20_20)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (181), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (199) ~ m1_subset_1(all_0_17_17, all_42_1_43)
% 12.64/3.54 |
% 12.64/3.54 | From (175) and (199) follows:
% 12.64/3.54 | (192) ~ m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | Using (83) and (192) yields:
% 12.64/3.54 | (179) $false
% 12.64/3.54 |
% 12.64/3.54 |-The branch is then unsatisfiable
% 12.64/3.54 |-Branch two:
% 12.64/3.54 | (202) m1_subset_1(all_0_17_17, all_42_1_43)
% 12.64/3.54 | (203) all_42_0_42 = all_0_14_14
% 12.64/3.54 |
% 12.64/3.54 | From (203) and (162) follows:
% 12.64/3.54 | (204) k5_subset_1(all_0_19_19, all_0_15_15, all_0_17_17) = all_0_14_14
% 12.64/3.54 |
% 12.64/3.54 | From (175) and (202) follows:
% 12.64/3.54 | (83) m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (160), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (206) ~ m1_subset_1(all_0_15_15, all_40_1_41)
% 12.64/3.54 |
% 12.64/3.54 | From (165) and (206) follows:
% 12.64/3.54 | (178) ~ m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | Using (27) and (178) yields:
% 12.64/3.54 | (179) $false
% 12.64/3.54 |
% 12.64/3.54 |-The branch is then unsatisfiable
% 12.64/3.54 |-Branch two:
% 12.64/3.54 | (209) m1_subset_1(all_0_15_15, all_40_1_41)
% 12.64/3.54 | (210) all_40_0_40 = all_0_14_14 | ~ m1_subset_1(all_0_17_17, all_40_1_41)
% 12.64/3.54 |
% 12.64/3.54 | From (165) and (209) follows:
% 12.64/3.54 | (27) m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (210), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (212) ~ m1_subset_1(all_0_17_17, all_40_1_41)
% 12.64/3.54 |
% 12.64/3.54 | From (165) and (212) follows:
% 12.64/3.54 | (192) ~ m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | Using (83) and (192) yields:
% 12.64/3.54 | (179) $false
% 12.64/3.54 |
% 12.64/3.54 |-The branch is then unsatisfiable
% 12.64/3.54 |-Branch two:
% 12.64/3.54 | (215) m1_subset_1(all_0_17_17, all_40_1_41)
% 12.64/3.54 | (216) all_40_0_40 = all_0_14_14
% 12.64/3.54 |
% 12.64/3.54 | From (216) and (158) follows:
% 12.64/3.54 | (217) k3_xboole_0(all_0_17_17, all_0_15_15) = all_0_14_14
% 12.64/3.54 |
% 12.64/3.54 | From (165) and (215) follows:
% 12.64/3.54 | (83) m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | Instantiating formula (129) with all_0_14_14, all_0_17_17, all_0_15_15, all_0_19_19 and discharging atoms k5_subset_1(all_0_19_19, all_0_15_15, all_0_17_17) = all_0_14_14, yields:
% 12.64/3.54 | (219) ? [v0] : ? [v1] : (k3_xboole_0(all_0_15_15, all_0_17_17) = v1 & k1_zfmisc_1(all_0_19_19) = v0 & (v1 = all_0_14_14 | ~ m1_subset_1(all_0_15_15, v0) | ~ m1_subset_1(all_0_17_17, v0)))
% 12.64/3.54 |
% 12.64/3.54 | Instantiating formula (30) with all_0_14_14, all_0_17_17, all_0_15_15 and discharging atoms k3_xboole_0(all_0_17_17, all_0_15_15) = all_0_14_14, yields:
% 12.64/3.54 | (220) k3_xboole_0(all_0_15_15, all_0_17_17) = all_0_14_14
% 12.64/3.54 |
% 12.64/3.54 | Instantiating formula (103) with all_0_14_14, all_0_15_15, all_0_17_17 and discharging atoms k3_xboole_0(all_0_17_17, all_0_15_15) = all_0_14_14, yields:
% 12.64/3.54 | (221) r1_tarski(all_0_14_14, all_0_17_17)
% 12.64/3.54 |
% 12.64/3.54 | Instantiating (219) with all_122_0_54, all_122_1_55 yields:
% 12.64/3.54 | (222) k3_xboole_0(all_0_15_15, all_0_17_17) = all_122_0_54 & k1_zfmisc_1(all_0_19_19) = all_122_1_55 & (all_122_0_54 = all_0_14_14 | ~ m1_subset_1(all_0_15_15, all_122_1_55) | ~ m1_subset_1(all_0_17_17, all_122_1_55))
% 12.64/3.54 |
% 12.64/3.54 | Applying alpha-rule on (222) yields:
% 12.64/3.54 | (223) k3_xboole_0(all_0_15_15, all_0_17_17) = all_122_0_54
% 12.64/3.54 | (224) k1_zfmisc_1(all_0_19_19) = all_122_1_55
% 12.64/3.54 | (225) all_122_0_54 = all_0_14_14 | ~ m1_subset_1(all_0_15_15, all_122_1_55) | ~ m1_subset_1(all_0_17_17, all_122_1_55)
% 12.64/3.54 |
% 12.64/3.54 | Instantiating formula (60) with all_0_15_15, all_0_17_17, all_0_14_14, all_122_0_54 and discharging atoms k3_xboole_0(all_0_15_15, all_0_17_17) = all_122_0_54, k3_xboole_0(all_0_15_15, all_0_17_17) = all_0_14_14, yields:
% 12.64/3.54 | (226) all_122_0_54 = all_0_14_14
% 12.64/3.54 |
% 12.64/3.54 | From (226) and (223) follows:
% 12.64/3.54 | (220) k3_xboole_0(all_0_15_15, all_0_17_17) = all_0_14_14
% 12.64/3.54 |
% 12.64/3.54 | Instantiating formula (103) with all_0_14_14, all_0_17_17, all_0_15_15 and discharging atoms k3_xboole_0(all_0_15_15, all_0_17_17) = all_0_14_14, yields:
% 12.64/3.54 | (228) r1_tarski(all_0_14_14, all_0_15_15)
% 12.64/3.54 |
% 12.64/3.54 | Instantiating formula (153) with all_0_16_16, all_0_17_17, all_0_13_13, all_0_14_14 and discharging atoms k1_rmod_5(all_0_21_21, all_0_20_20, all_0_14_14) = all_0_13_13, k1_rmod_5(all_0_21_21, all_0_20_20, all_0_17_17) = all_0_16_16, r1_tarski(all_0_14_14, all_0_17_17), yields:
% 12.64/3.54 | (229) ~ m1_subset_1(all_0_14_14, all_29_0_35) | ~ m1_subset_1(all_0_17_17, all_29_0_35) | m1_rmod_2(all_0_13_13, all_0_21_21, all_0_16_16)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (229), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (230) ~ m1_subset_1(all_0_14_14, all_29_0_35)
% 12.64/3.54 |
% 12.64/3.54 | From (173) and (230) follows:
% 12.64/3.54 | (231) ~ m1_subset_1(all_0_14_14, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | Using (196) and (231) yields:
% 12.64/3.54 | (179) $false
% 12.64/3.54 |
% 12.64/3.54 |-The branch is then unsatisfiable
% 12.64/3.54 |-Branch two:
% 12.64/3.54 | (233) m1_subset_1(all_0_14_14, all_29_0_35)
% 12.64/3.54 | (234) ~ m1_subset_1(all_0_17_17, all_29_0_35) | m1_rmod_2(all_0_13_13, all_0_21_21, all_0_16_16)
% 12.64/3.54 |
% 12.64/3.54 | From (173) and (233) follows:
% 12.64/3.54 | (196) m1_subset_1(all_0_14_14, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 +-Applying beta-rule and splitting (234), into two cases.
% 12.64/3.54 |-Branch one:
% 12.64/3.54 | (236) ~ m1_subset_1(all_0_17_17, all_29_0_35)
% 12.64/3.54 |
% 12.64/3.54 | From (173) and (236) follows:
% 12.64/3.54 | (192) ~ m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.54 |
% 12.64/3.54 | Using (83) and (192) yields:
% 12.64/3.54 | (179) $false
% 12.64/3.54 |
% 12.64/3.54 |-The branch is then unsatisfiable
% 12.64/3.54 |-Branch two:
% 12.64/3.54 | (239) m1_subset_1(all_0_17_17, all_29_0_35)
% 12.64/3.54 | (240) m1_rmod_2(all_0_13_13, all_0_21_21, all_0_16_16)
% 12.64/3.54 |
% 12.64/3.54 | Instantiating formula (153) with all_0_12_12, all_0_15_15, all_0_13_13, all_0_14_14 and discharging atoms k1_rmod_5(all_0_21_21, all_0_20_20, all_0_14_14) = all_0_13_13, k1_rmod_5(all_0_21_21, all_0_20_20, all_0_15_15) = all_0_12_12, r1_tarski(all_0_14_14, all_0_15_15), yields:
% 12.64/3.54 | (241) ~ m1_subset_1(all_0_14_14, all_29_0_35) | ~ m1_subset_1(all_0_15_15, all_29_0_35) | m1_rmod_2(all_0_13_13, all_0_21_21, all_0_12_12)
% 12.64/3.54 |
% 12.64/3.55 +-Applying beta-rule and splitting (241), into two cases.
% 12.64/3.55 |-Branch one:
% 12.64/3.55 | (230) ~ m1_subset_1(all_0_14_14, all_29_0_35)
% 12.64/3.55 |
% 12.64/3.55 | From (173) and (230) follows:
% 12.64/3.55 | (231) ~ m1_subset_1(all_0_14_14, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (196) and (231) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (233) m1_subset_1(all_0_14_14, all_29_0_35)
% 12.64/3.55 | (246) ~ m1_subset_1(all_0_15_15, all_29_0_35) | m1_rmod_2(all_0_13_13, all_0_21_21, all_0_12_12)
% 12.64/3.55 |
% 12.64/3.55 +-Applying beta-rule and splitting (246), into two cases.
% 12.64/3.55 |-Branch one:
% 12.64/3.55 | (247) ~ m1_subset_1(all_0_15_15, all_29_0_35)
% 12.64/3.55 |
% 12.64/3.55 | From (173) and (247) follows:
% 12.64/3.55 | (178) ~ m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (27) and (178) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (250) m1_subset_1(all_0_15_15, all_29_0_35)
% 12.64/3.55 | (251) m1_rmod_2(all_0_13_13, all_0_21_21, all_0_12_12)
% 12.64/3.55 |
% 12.64/3.55 | Instantiating formula (13) with all_0_11_11, all_0_12_12, all_0_16_16, all_0_13_13, all_0_20_20, all_0_21_21 and discharging atoms k2_rmod_3(all_0_21_21, all_0_20_20, all_0_16_16, all_0_12_12) = all_0_11_11, m1_rmod_2(all_0_12_12, all_0_21_21, all_0_20_20), m1_rmod_2(all_0_13_13, all_0_21_21, all_0_12_12), m1_rmod_2(all_0_13_13, all_0_21_21, all_0_16_16), m1_rmod_2(all_0_13_13, all_0_21_21, all_0_20_20), m1_rmod_2(all_0_16_16, all_0_21_21, all_0_20_20), l1_vectsp_2(all_0_20_20, all_0_21_21), v5_vectsp_2(all_0_20_20, all_0_21_21), l3_vectsp_1(all_0_21_21), v8_vectsp_1(all_0_21_21), v7_vectsp_1(all_0_21_21), v6_vectsp_1(all_0_21_21), v4_group_1(all_0_21_21), v6_rlvect_1(all_0_20_20), v6_rlvect_1(all_0_21_21), v5_rlvect_1(all_0_20_20), v5_rlvect_1(all_0_21_21), v4_rlvect_1(all_0_20_20), v4_rlvect_1(all_0_21_21), v3_rlvect_1(all_0_20_20), v3_rlvect_1(all_0_21_21), ~ m1_rmod_2(all_0_13_13, all_0_21_21, all_0_11_11), ~ v3_struct_0(all_0_20_20), ~ v3_struct_0(all_0_21_21), yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (253) ~ m1_rmod_2(all_0_13_13, all_0_21_21, all_0_20_20)
% 12.64/3.55 | (254) ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & u1_struct_0(all_0_20_20) = v0 & ~ m1_subset_1(all_0_14_14, v1))
% 12.64/3.55 |
% 12.64/3.55 | Instantiating (254) with all_92_0_84, all_92_1_85 yields:
% 12.64/3.55 | (255) k1_zfmisc_1(all_92_1_85) = all_92_0_84 & u1_struct_0(all_0_20_20) = all_92_1_85 & ~ m1_subset_1(all_0_14_14, all_92_0_84)
% 12.64/3.55 |
% 12.64/3.55 | Applying alpha-rule on (255) yields:
% 12.64/3.55 | (256) k1_zfmisc_1(all_92_1_85) = all_92_0_84
% 12.64/3.55 | (257) u1_struct_0(all_0_20_20) = all_92_1_85
% 12.64/3.55 | (258) ~ m1_subset_1(all_0_14_14, all_92_0_84)
% 12.64/3.55 |
% 12.64/3.55 | Instantiating formula (99) with all_0_20_20, all_92_1_85, all_0_19_19 and discharging atoms u1_struct_0(all_0_20_20) = all_92_1_85, u1_struct_0(all_0_20_20) = all_0_19_19, yields:
% 12.64/3.55 | (259) all_92_1_85 = all_0_19_19
% 12.64/3.55 |
% 12.64/3.55 | From (259) and (256) follows:
% 12.64/3.55 | (260) k1_zfmisc_1(all_0_19_19) = all_92_0_84
% 12.64/3.55 |
% 12.64/3.55 | Instantiating formula (45) with all_0_19_19, all_92_0_84, all_0_18_18 and discharging atoms k1_zfmisc_1(all_0_19_19) = all_92_0_84, k1_zfmisc_1(all_0_19_19) = all_0_18_18, yields:
% 12.64/3.55 | (261) all_92_0_84 = all_0_18_18
% 12.64/3.55 |
% 12.64/3.55 | From (261) and (258) follows:
% 12.64/3.55 | (231) ~ m1_subset_1(all_0_14_14, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (196) and (231) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (264) ~ m1_rmod_2(all_0_16_16, all_0_21_21, all_0_20_20)
% 12.64/3.55 | (265) ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & u1_struct_0(all_0_20_20) = v0 & ~ m1_subset_1(all_0_17_17, v1))
% 12.64/3.55 |
% 12.64/3.55 | Instantiating (265) with all_80_0_86, all_80_1_87 yields:
% 12.64/3.55 | (266) k1_zfmisc_1(all_80_1_87) = all_80_0_86 & u1_struct_0(all_0_20_20) = all_80_1_87 & ~ m1_subset_1(all_0_17_17, all_80_0_86)
% 12.64/3.55 |
% 12.64/3.55 | Applying alpha-rule on (266) yields:
% 12.64/3.55 | (267) k1_zfmisc_1(all_80_1_87) = all_80_0_86
% 12.64/3.55 | (268) u1_struct_0(all_0_20_20) = all_80_1_87
% 12.64/3.55 | (269) ~ m1_subset_1(all_0_17_17, all_80_0_86)
% 12.64/3.55 |
% 12.64/3.55 +-Applying beta-rule and splitting (156), into two cases.
% 12.64/3.55 |-Branch one:
% 12.64/3.55 | (185) ~ m1_subset_1(all_0_15_15, all_38_0_39)
% 12.64/3.55 |
% 12.64/3.55 | From (172) and (185) follows:
% 12.64/3.55 | (178) ~ m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (27) and (178) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (188) m1_subset_1(all_0_15_15, all_38_0_39)
% 12.64/3.55 | (189) ~ m1_subset_1(all_0_17_17, all_38_0_39) | m1_subset_1(all_0_14_14, all_38_0_39)
% 12.64/3.55 |
% 12.64/3.55 | From (172) and (188) follows:
% 12.64/3.55 | (27) m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 +-Applying beta-rule and splitting (189), into two cases.
% 12.64/3.55 |-Branch one:
% 12.64/3.55 | (191) ~ m1_subset_1(all_0_17_17, all_38_0_39)
% 12.64/3.55 |
% 12.64/3.55 | From (172) and (191) follows:
% 12.64/3.55 | (192) ~ m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (83) and (192) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (194) m1_subset_1(all_0_17_17, all_38_0_39)
% 12.64/3.55 | (195) m1_subset_1(all_0_14_14, all_38_0_39)
% 12.64/3.55 |
% 12.64/3.55 | From (172) and (194) follows:
% 12.64/3.55 | (83) m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 +-Applying beta-rule and splitting (181), into two cases.
% 12.64/3.55 |-Branch one:
% 12.64/3.55 | (199) ~ m1_subset_1(all_0_17_17, all_42_1_43)
% 12.64/3.55 |
% 12.64/3.55 | From (175) and (199) follows:
% 12.64/3.55 | (192) ~ m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (83) and (192) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (202) m1_subset_1(all_0_17_17, all_42_1_43)
% 12.64/3.55 | (203) all_42_0_42 = all_0_14_14
% 12.64/3.55 |
% 12.64/3.55 | From (175) and (202) follows:
% 12.64/3.55 | (83) m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 +-Applying beta-rule and splitting (160), into two cases.
% 12.64/3.55 |-Branch one:
% 12.64/3.55 | (206) ~ m1_subset_1(all_0_15_15, all_40_1_41)
% 12.64/3.55 |
% 12.64/3.55 | From (165) and (206) follows:
% 12.64/3.55 | (178) ~ m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (27) and (178) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (209) m1_subset_1(all_0_15_15, all_40_1_41)
% 12.64/3.55 | (210) all_40_0_40 = all_0_14_14 | ~ m1_subset_1(all_0_17_17, all_40_1_41)
% 12.64/3.55 |
% 12.64/3.55 +-Applying beta-rule and splitting (210), into two cases.
% 12.64/3.55 |-Branch one:
% 12.64/3.55 | (212) ~ m1_subset_1(all_0_17_17, all_40_1_41)
% 12.64/3.55 |
% 12.64/3.55 | From (165) and (212) follows:
% 12.64/3.55 | (192) ~ m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (83) and (192) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (215) m1_subset_1(all_0_17_17, all_40_1_41)
% 12.64/3.55 | (216) all_40_0_40 = all_0_14_14
% 12.64/3.55 |
% 12.64/3.55 | From (165) and (215) follows:
% 12.64/3.55 | (83) m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Instantiating formula (99) with all_0_20_20, all_80_1_87, all_0_19_19 and discharging atoms u1_struct_0(all_0_20_20) = all_80_1_87, u1_struct_0(all_0_20_20) = all_0_19_19, yields:
% 12.64/3.55 | (299) all_80_1_87 = all_0_19_19
% 12.64/3.55 |
% 12.64/3.55 | From (299) and (267) follows:
% 12.64/3.55 | (300) k1_zfmisc_1(all_0_19_19) = all_80_0_86
% 12.64/3.55 |
% 12.64/3.55 | Instantiating formula (45) with all_0_19_19, all_80_0_86, all_0_18_18 and discharging atoms k1_zfmisc_1(all_0_19_19) = all_80_0_86, k1_zfmisc_1(all_0_19_19) = all_0_18_18, yields:
% 12.64/3.55 | (301) all_80_0_86 = all_0_18_18
% 12.64/3.55 |
% 12.64/3.55 | From (301) and (269) follows:
% 12.64/3.55 | (192) ~ m1_subset_1(all_0_17_17, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (83) and (192) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (304) ~ m1_rmod_2(all_0_12_12, all_0_21_21, all_0_20_20)
% 12.64/3.55 | (305) ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & u1_struct_0(all_0_20_20) = v0 & ~ m1_subset_1(all_0_15_15, v1))
% 12.64/3.55 |
% 12.64/3.55 | Instantiating (305) with all_68_0_88, all_68_1_89 yields:
% 12.64/3.55 | (306) k1_zfmisc_1(all_68_1_89) = all_68_0_88 & u1_struct_0(all_0_20_20) = all_68_1_89 & ~ m1_subset_1(all_0_15_15, all_68_0_88)
% 12.64/3.55 |
% 12.64/3.55 | Applying alpha-rule on (306) yields:
% 12.64/3.55 | (307) k1_zfmisc_1(all_68_1_89) = all_68_0_88
% 12.64/3.55 | (308) u1_struct_0(all_0_20_20) = all_68_1_89
% 12.64/3.55 | (309) ~ m1_subset_1(all_0_15_15, all_68_0_88)
% 12.64/3.55 |
% 12.64/3.55 +-Applying beta-rule and splitting (156), into two cases.
% 12.64/3.55 |-Branch one:
% 12.64/3.55 | (185) ~ m1_subset_1(all_0_15_15, all_38_0_39)
% 12.64/3.55 |
% 12.64/3.55 | From (172) and (185) follows:
% 12.64/3.55 | (178) ~ m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (27) and (178) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (188) m1_subset_1(all_0_15_15, all_38_0_39)
% 12.64/3.55 | (189) ~ m1_subset_1(all_0_17_17, all_38_0_39) | m1_subset_1(all_0_14_14, all_38_0_39)
% 12.64/3.55 |
% 12.64/3.55 | From (172) and (188) follows:
% 12.64/3.55 | (27) m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 +-Applying beta-rule and splitting (160), into two cases.
% 12.64/3.55 |-Branch one:
% 12.64/3.55 | (206) ~ m1_subset_1(all_0_15_15, all_40_1_41)
% 12.64/3.55 |
% 12.64/3.55 | From (165) and (206) follows:
% 12.64/3.55 | (178) ~ m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Using (27) and (178) yields:
% 12.64/3.55 | (179) $false
% 12.64/3.55 |
% 12.64/3.55 |-The branch is then unsatisfiable
% 12.64/3.55 |-Branch two:
% 12.64/3.55 | (209) m1_subset_1(all_0_15_15, all_40_1_41)
% 12.64/3.55 | (210) all_40_0_40 = all_0_14_14 | ~ m1_subset_1(all_0_17_17, all_40_1_41)
% 12.64/3.55 |
% 12.64/3.55 | From (165) and (209) follows:
% 12.64/3.55 | (27) m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.55 |
% 12.64/3.55 | Instantiating formula (99) with all_0_20_20, all_68_1_89, all_0_19_19 and discharging atoms u1_struct_0(all_0_20_20) = all_68_1_89, u1_struct_0(all_0_20_20) = all_0_19_19, yields:
% 12.64/3.55 | (322) all_68_1_89 = all_0_19_19
% 12.64/3.55 |
% 12.64/3.55 | From (322) and (307) follows:
% 12.64/3.55 | (323) k1_zfmisc_1(all_0_19_19) = all_68_0_88
% 12.64/3.55 |
% 12.64/3.55 | Instantiating formula (45) with all_0_19_19, all_68_0_88, all_0_18_18 and discharging atoms k1_zfmisc_1(all_0_19_19) = all_68_0_88, k1_zfmisc_1(all_0_19_19) = all_0_18_18, yields:
% 12.64/3.55 | (324) all_68_0_88 = all_0_18_18
% 12.64/3.55 |
% 12.64/3.55 | From (324) and (309) follows:
% 12.64/3.55 | (178) ~ m1_subset_1(all_0_15_15, all_0_18_18)
% 12.64/3.56 |
% 12.64/3.56 | Using (27) and (178) yields:
% 12.64/3.56 | (179) $false
% 12.64/3.56 |
% 12.64/3.56 |-The branch is then unsatisfiable
% 12.64/3.56 % SZS output end Proof for theBenchmark
% 12.64/3.56
% 12.64/3.56 2969ms
%------------------------------------------------------------------------------