TSTP Solution File: ALG215+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG215+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 15:37:33 EDT 2022
% Result : Theorem 5.32s 1.89s
% Output : Proof 8.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG215+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 07:16:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.57 ____ _
% 0.18/0.57 ___ / __ \_____(_)___ ________ __________
% 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.57
% 0.18/0.57 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.68/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.98/1.05 Prover 0: Preprocessing ...
% 3.57/1.43 Prover 0: Warning: ignoring some quantifiers
% 3.79/1.47 Prover 0: Constructing countermodel ...
% 5.32/1.89 Prover 0: proved (1248ms)
% 5.32/1.89
% 5.32/1.89 No countermodel exists, formula is valid
% 5.32/1.89 % SZS status Theorem for theBenchmark
% 5.32/1.89
% 5.32/1.89 Generating proof ... Warning: ignoring some quantifiers
% 7.97/2.51 found it (size 52)
% 7.97/2.51
% 7.97/2.51 % SZS output start Proof for theBenchmark
% 7.97/2.51 Assumed formulas after preprocessing and simplification:
% 7.97/2.51 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (k1_subset_1(v2) = v3 & u1_struct_0(v1) = v2 & l2_vectsp_1(v9) & l1_vectsp_1(v11) & l1_rlvect_1(v13) & l1_struct_0(v12) & l1_struct_0(v5) & l1_group_1(v14) & l2_struct_0(v10) & l2_struct_0(v4) & v1_xboole_0(v7) & v1_xboole_0(k1_xboole_0) & l1_vectsp_2(v1, v0) & v5_vectsp_2(v1, v0) & l3_vectsp_1(v8) & 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) & ~ v1_xboole_0(v6) & ~ v1_rmod_5(v3, v0, v1) & ~ v3_struct_0(v5) & ~ v3_struct_0(v4) & ~ v3_struct_0(v1) & ~ v3_struct_0(v0) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v16 = v15 | ~ (k8_funct_2(v20, v19, v18, v17) = v16) | ~ (k8_funct_2(v20, v19, v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (k1_fraenkel(v17, v18) = v19) | ~ (u1_struct_0(v16) = v17) | ~ (u1_struct_0(v15) = v18) | ~ m1_rmod_4(v20, v15, v16) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | m2_fraenkel(v20, v17, v18, v19) | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = v15 | ~ (a_3_0_rmod_4(v19, v18, v17) = v16) | ~ (a_3_0_rmod_4(v19, v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = v15 | ~ (k5_rmod_4(v19, v18, v17) = v16) | ~ (k5_rmod_4(v19, v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : (v16 = v15 | ~ (k2_rmod_4(v19, v18, v17) = v16) | ~ (k2_rmod_4(v19, v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_funct_2(v15, v16, v17, v18) = v19) | ~ m1_relset_1(v17, v15, v16) | ~ v1_funct_2(v17, v15, v16) | ~ v1_funct_1(v17) | ~ m1_subset_1(v18, v15) | k1_funct_1(v17, v18) = v19 | v1_xboole_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k8_funct_2(v15, v16, v17, v18) = v19) | ~ m1_relset_1(v17, v15, v16) | ~ v1_funct_2(v17, v15, v16) | ~ v1_funct_1(v17) | ~ m1_subset_1(v18, v15) | v1_xboole_0(v15) | m1_subset_1(v19, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (u1_struct_0(v16) = v18) | ~ m2_rmod_4(v19, v15, v16, v17) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | m1_rmod_4(v19, v15, v16) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v20] : (k1_zfmisc_1(v18) = v20 & ~ m1_subset_1(v17, v20))) & ? [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (a_3_0_rmod_4(v16, v17, v18) = v19) | ~ m1_rmod_4(v18, v16, v17) | ~ l1_vectsp_2(v17, v16) | ~ v5_vectsp_2(v17, v16) | ~ l3_vectsp_1(v16) | ~ v8_vectsp_1(v16) | ~ v7_vectsp_1(v16) | ~ v6_vectsp_1(v16) | ~ v4_group_1(v16) | ~ v6_rlvect_1(v17) | ~ v6_rlvect_1(v16) | ~ v5_rlvect_1(v17) | ~ v5_rlvect_1(v16) | ~ v4_rlvect_1(v17) | ~ v4_rlvect_1(v16) | ~ v3_rlvect_1(v17) | ~ v3_rlvect_1(v16) | v3_struct_0(v17) | v3_struct_0(v16) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (k1_rlvect_1(v16) = v22 & u1_struct_0(v17) = v20 & u1_struct_0(v16) = v21 & ( ~ r2_hidden(v15, v19) | (v23 = v15 & ~ (v24 = v22) & k8_funct_2(v20, v21, v18, v15) = v24 & m1_subset_1(v15, v20))) & (r2_hidden(v15, v19) | ! [v25] : (v25 = v22 | ~ (k8_funct_2(v20, v21, v18, v15) = v25) | ~ m1_subset_1(v15, v20))))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (k1_funct_1(v18, v17) = v16) | ~ (k1_funct_1(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (k1_funct_2(v18, v17) = v16) | ~ (k1_funct_2(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (k1_fraenkel(v18, v17) = v16) | ~ (k1_fraenkel(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (k2_zfmisc_1(v18, v17) = v16) | ~ (k2_zfmisc_1(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (a_3_0_rmod_4(v15, v16, v17) = v18) | ~ m1_rmod_4(v17, v15, v16) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | k2_rmod_4(v15, v16, v17) = v18 | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v16) = v17) | ~ (u1_struct_0(v15) = v18) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v19] : (k1_fraenkel(v17, v18) = v19 & ! [v20] : ( ~ m1_rmod_4(v20, v15, v16) | m2_fraenkel(v20, v17, v18, v19)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k5_rmod_4(v15, v16, v17) = v18) | ~ m1_rmod_4(v17, v15, v16) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v19] : (u1_struct_0(v16) = v19 & m1_subset_1(v18, v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_rmod_4(v15, v16, v17) = v18) | ~ m1_rmod_4(v17, v15, v16) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | a_3_0_rmod_4(v15, v16, v17) = v18 | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_rmod_4(v15, v16, v17) = v18) | ~ m1_rmod_4(v17, v15, v16) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | v1_finset_1(v18) | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_rmod_4(v15, v16, v17) = v18) | ~ m1_rmod_4(v17, v15, v16) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v19] : ? [v20] : (u1_struct_0(v16) = v19 & k1_zfmisc_1(v19) = v20 & m1_subset_1(v18, v20))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_zfmisc_1(v15, v16) = v18) | ~ m2_relset_1(v17, v15, v16) | ? [v19] : (k1_zfmisc_1(v18) = v19 & m1_subset_1(v17, v19))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) | ~ v1_xboole_0(v17) | ~ m1_subset_1(v16, v18) | ~ r2_hidden(v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) | ~ m1_subset_1(v16, v18) | ~ r2_hidden(v15, v16) | m1_subset_1(v15, v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ m2_fraenkel(v18, v15, v16, v17) | ~ m1_fraenkel(v17, v15, v16) | m2_relset_1(v18, v15, v16) | v1_xboole_0(v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ m2_fraenkel(v18, v15, v16, v17) | ~ m1_fraenkel(v17, v15, v16) | v1_funct_2(v18, v15, v16) | v1_xboole_0(v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ m2_fraenkel(v18, v15, v16, v17) | ~ m1_fraenkel(v17, v15, v16) | v1_funct_1(v18) | v1_xboole_0(v16)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ m2_fraenkel(v18, v15, v16, v17) | ~ m1_fraenkel(v17, v15, v16) | v1_xboole_0(v16) | m1_subset_1(v18, v17)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ m1_fraenkel(v17, v15, v16) | ~ m1_subset_1(v18, v17) | m2_fraenkel(v18, v15, v16, v17) | v1_xboole_0(v16)) & ? [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v17) = v18) | ~ l1_vectsp_2(v17, v16) | ~ v5_vectsp_2(v17, v16) | ~ l3_vectsp_1(v16) | ~ v8_vectsp_1(v16) | ~ v7_vectsp_1(v16) | ~ v6_vectsp_1(v16) | ~ v4_group_1(v16) | ~ v6_rlvect_1(v17) | ~ v6_rlvect_1(v16) | ~ v5_rlvect_1(v17) | ~ v5_rlvect_1(v16) | ~ v4_rlvect_1(v17) | ~ v4_rlvect_1(v16) | ~ v3_rlvect_1(v17) | ~ v3_rlvect_1(v16) | v3_struct_0(v17) | v3_struct_0(v16) | ? [v19] : (m2_rmod_4(v19, v16, v17, v15) | (k1_zfmisc_1(v18) = v19 & ~ m1_subset_1(v15, v19)))) & ? [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k2_zfmisc_1(v16, v17) = v18) | v1_relat_1(v15) | ? [v19] : (k1_zfmisc_1(v18) = v19 & ~ m1_subset_1(v15, v19))) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (k1_subset_1(v17) = v16) | ~ (k1_subset_1(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (k1_rlvect_1(v17) = v16) | ~ (k1_rlvect_1(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (u1_struct_0(v17) = v16) | ~ (u1_struct_0(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (k1_zfmisc_1(v17) = v16) | ~ (k1_zfmisc_1(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_funct_2(v15, v16) = v17) | k1_fraenkel(v15, v16) = v17 | v1_xboole_0(v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_fraenkel(v15, v16) = v17) | k1_funct_2(v15, v16) = v17 | v1_xboole_0(v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_fraenkel(v15, v16) = v17) | m1_fraenkel(v17, v15, v16) | v1_xboole_0(v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_rlvect_1(v16) = v17) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v18] : ? [v19] : (u1_struct_0(v16) = v18 & k1_zfmisc_1(v18) = v19 & ! [v20] : ! [v21] : ! [v22] : (v22 = k1_xboole_0 | ~ (k2_rmod_4(v15, v16, v21) = v22) | ~ m2_rmod_4(v21, v15, v16, v20) | ~ m1_subset_1(v20, v19) | ~ v1_rmod_5(v20, v15, v16) | ? [v23] : ( ~ (v23 = v17) & k5_rmod_4(v15, v16, v21) = v23)) & ! [v20] : ! [v21] : ( ~ (k5_rmod_4(v15, v16, v21) = v17) | ~ m2_rmod_4(v21, v15, v16, v20) | ~ m1_subset_1(v20, v19) | ~ v1_rmod_5(v20, v15, v16) | k2_rmod_4(v15, v16, v21) = k1_xboole_0) & ! [v20] : ( ~ m1_subset_1(v20, v19) | v1_rmod_5(v20, v15, v16) | ? [v21] : ? [v22] : ( ~ (v22 = k1_xboole_0) & k5_rmod_4(v15, v16, v21) = v17 & k2_rmod_4(v15, v16, v21) = v22 & m2_rmod_4(v21, v15, v16, v20))))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v18] : ? [v19] : (k1_rlvect_1(v16) = v19 & k1_zfmisc_1(v17) = v18 & ! [v20] : ! [v21] : ! [v22] : (v22 = k1_xboole_0 | ~ (k2_rmod_4(v15, v16, v21) = v22) | ~ m2_rmod_4(v21, v15, v16, v20) | ~ m1_subset_1(v20, v18) | ~ v1_rmod_5(v20, v15, v16) | ? [v23] : ( ~ (v23 = v19) & k5_rmod_4(v15, v16, v21) = v23)) & ! [v20] : ! [v21] : ( ~ (k5_rmod_4(v15, v16, v21) = v19) | ~ m2_rmod_4(v21, v15, v16, v20) | ~ m1_subset_1(v20, v18) | ~ v1_rmod_5(v20, v15, v16) | k2_rmod_4(v15, v16, v21) = k1_xboole_0) & ! [v20] : ( ~ m1_subset_1(v20, v18) | v1_rmod_5(v20, v15, v16) | ? [v21] : ? [v22] : ( ~ (v22 = k1_xboole_0) & k5_rmod_4(v15, v16, v21) = v19 & k2_rmod_4(v15, v16, v21) = v22 & m2_rmod_4(v21, v15, v16, v20))))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (u1_struct_0(v16) = v17) | ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v18] : (k1_zfmisc_1(v17) = v18 & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_rmod_4(v15, v16, v20) = v21) | ~ r1_tarski(v21, v19) | ~ m1_rmod_4(v20, v15, v16) | ~ m1_subset_1(v19, v18) | m2_rmod_4(v20, v15, v16, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_rmod_4(v15, v16, v20) = v21) | ~ m1_rmod_4(v20, v15, v16) | ~ m2_rmod_4(v20, v15, v16, v19) | ~ m1_subset_1(v19, v18) | r1_tarski(v21, v19)))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k2_zfmisc_1(v15, v16) = v17) | ~ v1_xboole_0(v17) | v1_xboole_0(v16) | v1_xboole_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ r1_tarski(v15, v16) | m1_subset_1(v15, v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ m1_subset_1(v15, v17) | r1_tarski(v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ m2_relset_1(v17, v15, v16) | m1_relset_1(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ m1_relset_1(v17, v15, v16) | m2_relset_1(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ m1_fraenkel(v17, v15, v16) | ~ v1_xboole_0(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ m1_fraenkel(v17, v15, v16) | v1_fraenkel(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ m1_fraenkel(v17, v15, v16) | v1_xboole_0(v16) | ? [v18] : m2_fraenkel(v18, v15, v16, v17)) & ! [v15] : ! [v16] : (v16 = v15 | ~ v1_xboole_0(v16) | ~ v1_xboole_0(v15)) & ! [v15] : ! [v16] : ( ~ (k1_subset_1(v15) = v16) | v1_xboole_0(v16)) & ! [v15] : ! [v16] : ( ~ (k1_subset_1(v15) = v16) | ? [v17] : (k1_zfmisc_1(v15) = v17 & m1_subset_1(v16, v17))) & ! [v15] : ! [v16] : ( ~ (k1_rlvect_1(v15) = v16) | ~ l2_struct_0(v15) | ? [v17] : (u1_struct_0(v15) = v17 & m1_subset_1(v16, v17))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_struct_0(v15) | ~ v1_xboole_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_struct_0(v15) | v3_struct_0(v15) | ? [v17] : ? [v18] : (k1_zfmisc_1(v16) = v17 & v1_finset_1(v18) & m1_subset_1(v18, v17) & ~ v1_xboole_0(v18))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_struct_0(v15) | v3_struct_0(v15) | ? [v17] : ? [v18] : (k1_zfmisc_1(v16) = v17 & m1_subset_1(v18, v17) & ~ v1_xboole_0(v18))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l2_struct_0(v15) | ? [v17] : (k1_rlvect_1(v15) = v17 & m1_subset_1(v17, v16))) & ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v1_xboole_0(v16)) & ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | v1_xboole_0(v15) | ? [v17] : (m1_subset_1(v17, v16) & ~ v1_xboole_0(v17))) & ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | ? [v17] : (k1_subset_1(v15) = v17 & m1_subset_1(v17, v16))) & ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | ? [v17] : (v1_xboole_0(v17) & m1_subset_1(v17, v16))) & ! [v15] : ! [v16] : ( ~ l1_struct_0(v15) | ~ l1_vectsp_2(v16, v15) | l1_rlvect_1(v16)) & ! [v15] : ! [v16] : ( ~ v1_xboole_0(v16) | ~ r2_hidden(v15, v16)) & ! [v15] : ! [v16] : ( ~ m1_subset_1(v15, v16) | v1_xboole_0(v16) | r2_hidden(v15, v16)) & ! [v15] : ! [v16] : ( ~ r2_hidden(v16, v15) | ~ r2_hidden(v15, v16)) & ! [v15] : ! [v16] : ( ~ r2_hidden(v15, v16) | m1_subset_1(v15, v16)) & ! [v15] : ! [v16] : ( ~ l1_vectsp_2(v16, v15) | ~ v5_vectsp_2(v16, v15) | ~ l3_vectsp_1(v15) | ~ v8_vectsp_1(v15) | ~ v7_vectsp_1(v15) | ~ v6_vectsp_1(v15) | ~ v4_group_1(v15) | ~ v6_rlvect_1(v16) | ~ v6_rlvect_1(v15) | ~ v5_rlvect_1(v16) | ~ v5_rlvect_1(v15) | ~ v4_rlvect_1(v16) | ~ v4_rlvect_1(v15) | ~ v3_rlvect_1(v16) | ~ v3_rlvect_1(v15) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v17] : m1_rmod_4(v17, v15, v16)) & ! [v15] : (v15 = k1_xboole_0 | ~ v1_xboole_0(v15)) & ! [v15] : (v15 = k1_xboole_0 | ~ r1_tarski(v15, k1_xboole_0)) & ! [v15] : ( ~ l2_vectsp_1(v15) | l1_vectsp_1(v15)) & ! [v15] : ( ~ l2_vectsp_1(v15) | l2_struct_0(v15)) & ! [v15] : ( ~ l1_vectsp_1(v15) | l1_group_1(v15)) & ! [v15] : ( ~ l1_rlvect_1(v15) | l2_struct_0(v15)) & ! [v15] : ( ~ l1_struct_0(v15) | ? [v16] : (l1_vectsp_2(v16, v15) & ~ v3_struct_0(v16))) & ! [v15] : ( ~ l1_struct_0(v15) | ? [v16] : l1_vectsp_2(v16, v15)) & ! [v15] : ( ~ l1_group_1(v15) | l1_struct_0(v15)) & ! [v15] : ( ~ l2_struct_0(v15) | l1_struct_0(v15)) & ! [v15] : ( ~ l3_vectsp_1(v15) | l2_vectsp_1(v15)) & ! [v15] : ( ~ l3_vectsp_1(v15) | l1_rlvect_1(v15)) & ? [v15] : ? [v16] : ? [v17] : m2_relset_1(v17, v15, v16) & ? [v15] : ? [v16] : ? [v17] : m1_relset_1(v17, v15, v16) & ? [v15] : ? [v16] : ? [v17] : m1_fraenkel(v17, v15, v16) & ? [v15] : ? [v16] : (v16 = v15 | ? [v17] : (( ~ r2_hidden(v17, v16) | ~ r2_hidden(v17, v15)) & (r2_hidden(v17, v16) | r2_hidden(v17, v15)))) & ? [v15] : ? [v16] : m1_subset_1(v16, v15) & ? [v15] : r1_tarski(v15, v15))
% 8.37/2.58 | 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 yields:
% 8.37/2.58 | (1) k1_subset_1(all_0_12_12) = all_0_11_11 & u1_struct_0(all_0_13_13) = all_0_12_12 & l2_vectsp_1(all_0_5_5) & l1_vectsp_1(all_0_3_3) & l1_rlvect_1(all_0_1_1) & l1_struct_0(all_0_2_2) & l1_struct_0(all_0_9_9) & l1_group_1(all_0_0_0) & l2_struct_0(all_0_4_4) & l2_struct_0(all_0_10_10) & v1_xboole_0(all_0_7_7) & v1_xboole_0(k1_xboole_0) & l1_vectsp_2(all_0_13_13, all_0_14_14) & v5_vectsp_2(all_0_13_13, all_0_14_14) & l3_vectsp_1(all_0_6_6) & l3_vectsp_1(all_0_14_14) & v8_vectsp_1(all_0_14_14) & v7_vectsp_1(all_0_14_14) & v6_vectsp_1(all_0_14_14) & v4_group_1(all_0_14_14) & v6_rlvect_1(all_0_13_13) & v6_rlvect_1(all_0_14_14) & v5_rlvect_1(all_0_13_13) & v5_rlvect_1(all_0_14_14) & v4_rlvect_1(all_0_13_13) & v4_rlvect_1(all_0_14_14) & v3_rlvect_1(all_0_13_13) & v3_rlvect_1(all_0_14_14) & ~ v1_xboole_0(all_0_8_8) & ~ v1_rmod_5(all_0_11_11, all_0_14_14, all_0_13_13) & ~ v3_struct_0(all_0_9_9) & ~ v3_struct_0(all_0_10_10) & ~ v3_struct_0(all_0_13_13) & ~ v3_struct_0(all_0_14_14) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k8_funct_2(v5, v4, v3, v2) = v1) | ~ (k8_funct_2(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_fraenkel(v2, v3) = v4) | ~ (u1_struct_0(v1) = v2) | ~ (u1_struct_0(v0) = v3) | ~ m1_rmod_4(v5, 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) | m2_fraenkel(v5, v2, v3, v4) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_3_0_rmod_4(v4, v3, v2) = v1) | ~ (a_3_0_rmod_4(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k5_rmod_4(v4, v3, v2) = v1) | ~ (k5_rmod_4(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k2_rmod_4(v4, v3, v2) = v1) | ~ (k2_rmod_4(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_subset_1(v3, v0) | k1_funct_1(v2, v3) = v4 | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_subset_1(v3, v0) | v1_xboole_0(v0) | m1_subset_1(v4, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v1) = v3) | ~ m2_rmod_4(v4, v0, v1, v2) | ~ 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_4(v4, v0, v1) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v5] : (k1_zfmisc_1(v3) = v5 & ~ m1_subset_1(v2, v5))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (a_3_0_rmod_4(v1, v2, v3) = v4) | ~ m1_rmod_4(v3, v1, v2) | ~ l1_vectsp_2(v2, v1) | ~ v5_vectsp_2(v2, v1) | ~ l3_vectsp_1(v1) | ~ v8_vectsp_1(v1) | ~ v7_vectsp_1(v1) | ~ v6_vectsp_1(v1) | ~ v4_group_1(v1) | ~ v6_rlvect_1(v2) | ~ v6_rlvect_1(v1) | ~ v5_rlvect_1(v2) | ~ v5_rlvect_1(v1) | ~ v4_rlvect_1(v2) | ~ v4_rlvect_1(v1) | ~ v3_rlvect_1(v2) | ~ v3_rlvect_1(v1) | v3_struct_0(v2) | v3_struct_0(v1) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (k1_rlvect_1(v1) = v7 & u1_struct_0(v2) = v5 & u1_struct_0(v1) = v6 & ( ~ r2_hidden(v0, v4) | (v8 = v0 & ~ (v9 = v7) & k8_funct_2(v5, v6, v3, v0) = v9 & m1_subset_1(v0, v5))) & (r2_hidden(v0, v4) | ! [v10] : (v10 = v7 | ~ (k8_funct_2(v5, v6, v3, v0) = v10) | ~ m1_subset_1(v0, v5))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_2(v3, v2) = v1) | ~ (k1_funct_2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_fraenkel(v3, v2) = v1) | ~ (k1_fraenkel(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] : ( ~ (a_3_0_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | k2_rmod_4(v0, v1, v2) = v3 | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ (u1_struct_0(v0) = v3) | ~ 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) | ? [v4] : (k1_fraenkel(v2, v3) = v4 & ! [v5] : ( ~ m1_rmod_4(v5, v0, v1) | m2_fraenkel(v5, v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | ? [v4] : (u1_struct_0(v1) = v4 & m1_subset_1(v3, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | a_3_0_rmod_4(v0, v1, v2) = v3 | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | v1_finset_1(v3) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | ? [v4] : ? [v5] : (u1_struct_0(v1) = v4 & k1_zfmisc_1(v4) = v5 & m1_subset_1(v3, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_fraenkel(v3, v0, v1, v2) | ~ m1_fraenkel(v2, v0, v1) | m2_relset_1(v3, v0, v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_fraenkel(v3, v0, v1, v2) | ~ m1_fraenkel(v2, v0, v1) | v1_funct_2(v3, v0, v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_fraenkel(v3, v0, v1, v2) | ~ m1_fraenkel(v2, v0, v1) | v1_funct_1(v3) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_fraenkel(v3, v0, v1, v2) | ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) | m1_subset_1(v3, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m1_subset_1(v3, v2) | m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v2) = v3) | ~ l1_vectsp_2(v2, v1) | ~ v5_vectsp_2(v2, v1) | ~ l3_vectsp_1(v1) | ~ v8_vectsp_1(v1) | ~ v7_vectsp_1(v1) | ~ v6_vectsp_1(v1) | ~ v4_group_1(v1) | ~ v6_rlvect_1(v2) | ~ v6_rlvect_1(v1) | ~ v5_rlvect_1(v2) | ~ v5_rlvect_1(v1) | ~ v4_rlvect_1(v2) | ~ v4_rlvect_1(v1) | ~ v3_rlvect_1(v2) | ~ v3_rlvect_1(v1) | v3_struct_0(v2) | v3_struct_0(v1) | ? [v4] : (m2_rmod_4(v4, v1, v2, v0) | (k1_zfmisc_1(v3) = 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_subset_1(v2) = v1) | ~ (k1_subset_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_rlvect_1(v2) = v1) | ~ (k1_rlvect_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_2(v0, v1) = v2) | k1_fraenkel(v0, v1) = v2 | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_fraenkel(v0, v1) = v2) | k1_funct_2(v0, v1) = v2 | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_fraenkel(v0, v1) = v2) | m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_rlvect_1(v1) = v2) | ~ 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) | ? [v3] : ? [v4] : (u1_struct_0(v1) = v3 & k1_zfmisc_1(v3) = v4 & ! [v5] : ! [v6] : ! [v7] : (v7 = k1_xboole_0 | ~ (k2_rmod_4(v0, v1, v6) = v7) | ~ m2_rmod_4(v6, v0, v1, v5) | ~ m1_subset_1(v5, v4) | ~ v1_rmod_5(v5, v0, v1) | ? [v8] : ( ~ (v8 = v2) & k5_rmod_4(v0, v1, v6) = v8)) & ! [v5] : ! [v6] : ( ~ (k5_rmod_4(v0, v1, v6) = v2) | ~ m2_rmod_4(v6, v0, v1, v5) | ~ m1_subset_1(v5, v4) | ~ v1_rmod_5(v5, v0, v1) | k2_rmod_4(v0, v1, v6) = k1_xboole_0) & ! [v5] : ( ~ m1_subset_1(v5, v4) | v1_rmod_5(v5, v0, v1) | ? [v6] : ? [v7] : ( ~ (v7 = k1_xboole_0) & k5_rmod_4(v0, v1, v6) = v2 & k2_rmod_4(v0, v1, v6) = v7 & m2_rmod_4(v6, v0, v1, v5))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v1) = v2) | ~ 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) | ? [v3] : ? [v4] : (k1_rlvect_1(v1) = v4 & k1_zfmisc_1(v2) = v3 & ! [v5] : ! [v6] : ! [v7] : (v7 = k1_xboole_0 | ~ (k2_rmod_4(v0, v1, v6) = v7) | ~ m2_rmod_4(v6, v0, v1, v5) | ~ m1_subset_1(v5, v3) | ~ v1_rmod_5(v5, v0, v1) | ? [v8] : ( ~ (v8 = v4) & k5_rmod_4(v0, v1, v6) = v8)) & ! [v5] : ! [v6] : ( ~ (k5_rmod_4(v0, v1, v6) = v4) | ~ m2_rmod_4(v6, v0, v1, v5) | ~ m1_subset_1(v5, v3) | ~ v1_rmod_5(v5, v0, v1) | k2_rmod_4(v0, v1, v6) = k1_xboole_0) & ! [v5] : ( ~ m1_subset_1(v5, v3) | v1_rmod_5(v5, v0, v1) | ? [v6] : ? [v7] : ( ~ (v7 = k1_xboole_0) & k5_rmod_4(v0, v1, v6) = v4 & k2_rmod_4(v0, v1, v6) = v7 & m2_rmod_4(v6, v0, v1, v5))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v1) = v2) | ~ 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) | ? [v3] : (k1_zfmisc_1(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_rmod_4(v0, v1, v5) = v6) | ~ r1_tarski(v6, v4) | ~ m1_rmod_4(v5, v0, v1) | ~ m1_subset_1(v4, v3) | m2_rmod_4(v5, v0, v1, v4)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_rmod_4(v0, v1, v5) = v6) | ~ m1_rmod_4(v5, v0, v1) | ~ m2_rmod_4(v5, v0, v1, v4) | ~ m1_subset_1(v4, v3) | r1_tarski(v6, v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | ~ v1_xboole_0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_fraenkel(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) | ? [v3] : m2_fraenkel(v3, v0, v1, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_subset_1(v0) = v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_subset_1(v0) = v1) | ? [v2] : (k1_zfmisc_1(v0) = v2 & m1_subset_1(v1, v2))) & ! [v0] : ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) | ~ l2_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_finset_1(v3) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_struct_0(v0) | ? [v2] : (k1_rlvect_1(v0) = v2 & m1_subset_1(v2, v1))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (k1_subset_1(v0) = v2 & m1_subset_1(v2, v1))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1))) & ! [v0] : ! [v1] : ( ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | l1_rlvect_1(v1)) & ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) & ! [v0] : ! [v1] : ( ~ l1_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_4(v2, v0, v1)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : (v0 = k1_xboole_0 | ~ r1_tarski(v0, k1_xboole_0)) & ! [v0] : ( ~ l2_vectsp_1(v0) | l1_vectsp_1(v0)) & ! [v0] : ( ~ l2_vectsp_1(v0) | l2_struct_0(v0)) & ! [v0] : ( ~ l1_vectsp_1(v0) | l1_group_1(v0)) & ! [v0] : ( ~ l1_rlvect_1(v0) | l2_struct_0(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] : ( ~ l1_group_1(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ l2_struct_0(v0) | l1_struct_0(v0)) & ! [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] : ? [v2] : m1_fraenkel(v2, v0, v1) & ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : (( ~ r2_hidden(v2, v1) | ~ r2_hidden(v2, v0)) & (r2_hidden(v2, v1) | r2_hidden(v2, v0)))) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0)
% 8.73/2.61 |
% 8.73/2.61 | Applying alpha-rule on (1) yields:
% 8.73/2.61 | (2) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 8.73/2.61 | (3) ! [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)))
% 8.73/2.61 | (4) v4_rlvect_1(all_0_13_13)
% 8.73/2.61 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_fraenkel(v3, v0, v1, v2) | ~ m1_fraenkel(v2, v0, v1) | v1_funct_2(v3, v0, v1) | v1_xboole_0(v1))
% 8.73/2.61 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v1) = v3) | ~ m2_rmod_4(v4, v0, v1, v2) | ~ 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_4(v4, v0, v1) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v5] : (k1_zfmisc_1(v3) = v5 & ~ m1_subset_1(v2, v5)))
% 8.73/2.61 | (7) ! [v0] : ( ~ l3_vectsp_1(v0) | l1_rlvect_1(v0))
% 8.73/2.61 | (8) ! [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)))
% 8.73/2.61 | (9) ! [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_4(v2, v0, v1))
% 8.73/2.61 | (10) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 8.73/2.61 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m1_subset_1(v3, v2) | m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1))
% 8.73/2.62 | (12) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 8.73/2.62 | (13) ? [v0] : ? [v1] : ? [v2] : m1_fraenkel(v2, v0, v1)
% 8.73/2.62 | (14) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : (( ~ r2_hidden(v2, v1) | ~ r2_hidden(v2, v0)) & (r2_hidden(v2, v1) | r2_hidden(v2, v0))))
% 8.73/2.62 | (15) ~ v1_xboole_0(all_0_8_8)
% 8.73/2.62 | (16) k1_subset_1(all_0_12_12) = all_0_11_11
% 8.73/2.62 | (17) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 8.73/2.62 | (18) ! [v0] : ( ~ l2_struct_0(v0) | l1_struct_0(v0))
% 8.73/2.62 | (19) ! [v0] : ! [v1] : ( ~ l1_struct_0(v0) | ~ l1_vectsp_2(v1, v0) | l1_rlvect_1(v1))
% 8.73/2.62 | (20) ~ v3_struct_0(all_0_13_13)
% 8.73/2.62 | (21) ! [v0] : ! [v1] : ( ~ (k1_subset_1(v0) = v1) | ? [v2] : (k1_zfmisc_1(v0) = v2 & m1_subset_1(v1, v2)))
% 8.73/2.62 | (22) v6_rlvect_1(all_0_14_14)
% 8.73/2.62 | (23) v5_vectsp_2(all_0_13_13, all_0_14_14)
% 8.73/2.62 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 8.73/2.62 | (25) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l2_struct_0(v0) | ? [v2] : (k1_rlvect_1(v0) = v2 & m1_subset_1(v2, v1)))
% 8.73/2.62 | (26) ! [v0] : (v0 = k1_xboole_0 | ~ r1_tarski(v0, k1_xboole_0))
% 8.73/2.62 | (27) l1_struct_0(all_0_9_9)
% 8.73/2.62 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2))
% 8.73/2.62 | (29) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 8.73/2.62 | (30) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 8.73/2.62 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_subset_1(v3, v0) | v1_xboole_0(v0) | m1_subset_1(v4, v1))
% 8.73/2.62 | (32) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 8.73/2.62 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_subset_1(v2) = v1) | ~ (k1_subset_1(v2) = v0))
% 8.73/2.62 | (34) v8_vectsp_1(all_0_14_14)
% 8.73/2.62 | (35) ! [v0] : ( ~ l1_struct_0(v0) | ? [v1] : (l1_vectsp_2(v1, v0) & ~ v3_struct_0(v1)))
% 8.73/2.62 | (36) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v1) = v2) | ~ 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) | ? [v3] : (k1_zfmisc_1(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_rmod_4(v0, v1, v5) = v6) | ~ r1_tarski(v6, v4) | ~ m1_rmod_4(v5, v0, v1) | ~ m1_subset_1(v4, v3) | m2_rmod_4(v5, v0, v1, v4)) & ! [v4] : ! [v5] : ! [v6] : ( ~ (k2_rmod_4(v0, v1, v5) = v6) | ~ m1_rmod_4(v5, v0, v1) | ~ m2_rmod_4(v5, v0, v1, v4) | ~ m1_subset_1(v4, v3) | r1_tarski(v6, v4))))
% 8.73/2.62 | (37) u1_struct_0(all_0_13_13) = all_0_12_12
% 8.73/2.62 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_funct_2(v0, v1) = v2) | k1_fraenkel(v0, v1) = v2 | v1_xboole_0(v1))
% 8.73/2.62 | (39) v3_rlvect_1(all_0_13_13)
% 8.73/2.62 | (40) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 8.73/2.62 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (a_3_0_rmod_4(v4, v3, v2) = v1) | ~ (a_3_0_rmod_4(v4, v3, v2) = v0))
% 8.73/2.62 | (42) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 8.73/2.62 | (43) v4_group_1(all_0_14_14)
% 8.73/2.62 | (44) v6_vectsp_1(all_0_14_14)
% 8.73/2.62 | (45) ? [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)))
% 8.73/2.62 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | ~ v1_xboole_0(v2))
% 8.73/2.62 | (47) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (a_3_0_rmod_4(v1, v2, v3) = v4) | ~ m1_rmod_4(v3, v1, v2) | ~ l1_vectsp_2(v2, v1) | ~ v5_vectsp_2(v2, v1) | ~ l3_vectsp_1(v1) | ~ v8_vectsp_1(v1) | ~ v7_vectsp_1(v1) | ~ v6_vectsp_1(v1) | ~ v4_group_1(v1) | ~ v6_rlvect_1(v2) | ~ v6_rlvect_1(v1) | ~ v5_rlvect_1(v2) | ~ v5_rlvect_1(v1) | ~ v4_rlvect_1(v2) | ~ v4_rlvect_1(v1) | ~ v3_rlvect_1(v2) | ~ v3_rlvect_1(v1) | v3_struct_0(v2) | v3_struct_0(v1) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (k1_rlvect_1(v1) = v7 & u1_struct_0(v2) = v5 & u1_struct_0(v1) = v6 & ( ~ r2_hidden(v0, v4) | (v8 = v0 & ~ (v9 = v7) & k8_funct_2(v5, v6, v3, v0) = v9 & m1_subset_1(v0, v5))) & (r2_hidden(v0, v4) | ! [v10] : (v10 = v7 | ~ (k8_funct_2(v5, v6, v3, v0) = v10) | ~ m1_subset_1(v0, v5)))))
% 8.73/2.62 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_fraenkel(v3, v0, v1, v2) | ~ m1_fraenkel(v2, v0, v1) | v1_funct_1(v3) | v1_xboole_0(v1))
% 8.73/2.62 | (49) v5_rlvect_1(all_0_14_14)
% 8.73/2.62 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_fraenkel(v2))
% 8.73/2.62 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_fraenkel(v3, v2) = v1) | ~ (k1_fraenkel(v3, v2) = v0))
% 8.73/2.62 | (52) l1_vectsp_2(all_0_13_13, all_0_14_14)
% 8.73/2.62 | (53) v3_rlvect_1(all_0_14_14)
% 8.73/2.62 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 8.73/2.62 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 8.73/2.62 | (56) ? [v0] : r1_tarski(v0, v0)
% 8.73/2.62 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k2_rmod_4(v4, v3, v2) = v1) | ~ (k2_rmod_4(v4, v3, v2) = v0))
% 8.73/2.62 | (58) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 8.73/2.62 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_fraenkel(v3, v0, v1, v2) | ~ m1_fraenkel(v2, v0, v1) | m2_relset_1(v3, v0, v1) | v1_xboole_0(v1))
% 8.73/2.62 | (60) ~ v1_rmod_5(all_0_11_11, all_0_14_14, all_0_13_13)
% 8.73/2.62 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k8_funct_2(v5, v4, v3, v2) = v1) | ~ (k8_funct_2(v5, v4, v3, v2) = v0))
% 8.73/2.63 | (62) ! [v0] : ( ~ l3_vectsp_1(v0) | l2_vectsp_1(v0))
% 8.73/2.63 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_rlvect_1(v1) = v2) | ~ 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) | ? [v3] : ? [v4] : (u1_struct_0(v1) = v3 & k1_zfmisc_1(v3) = v4 & ! [v5] : ! [v6] : ! [v7] : (v7 = k1_xboole_0 | ~ (k2_rmod_4(v0, v1, v6) = v7) | ~ m2_rmod_4(v6, v0, v1, v5) | ~ m1_subset_1(v5, v4) | ~ v1_rmod_5(v5, v0, v1) | ? [v8] : ( ~ (v8 = v2) & k5_rmod_4(v0, v1, v6) = v8)) & ! [v5] : ! [v6] : ( ~ (k5_rmod_4(v0, v1, v6) = v2) | ~ m2_rmod_4(v6, v0, v1, v5) | ~ m1_subset_1(v5, v4) | ~ v1_rmod_5(v5, v0, v1) | k2_rmod_4(v0, v1, v6) = k1_xboole_0) & ! [v5] : ( ~ m1_subset_1(v5, v4) | v1_rmod_5(v5, v0, v1) | ? [v6] : ? [v7] : ( ~ (v7 = k1_xboole_0) & k5_rmod_4(v0, v1, v6) = v2 & k2_rmod_4(v0, v1, v6) = v7 & m2_rmod_4(v6, v0, v1, v5)))))
% 8.73/2.63 | (64) v7_vectsp_1(all_0_14_14)
% 8.73/2.63 | (65) l1_vectsp_1(all_0_3_3)
% 8.73/2.63 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_2(v3, v2) = v1) | ~ (k1_funct_2(v3, v2) = v0))
% 8.73/2.63 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (u1_struct_0(v1) = v2) | ~ 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) | ? [v3] : ? [v4] : (k1_rlvect_1(v1) = v4 & k1_zfmisc_1(v2) = v3 & ! [v5] : ! [v6] : ! [v7] : (v7 = k1_xboole_0 | ~ (k2_rmod_4(v0, v1, v6) = v7) | ~ m2_rmod_4(v6, v0, v1, v5) | ~ m1_subset_1(v5, v3) | ~ v1_rmod_5(v5, v0, v1) | ? [v8] : ( ~ (v8 = v4) & k5_rmod_4(v0, v1, v6) = v8)) & ! [v5] : ! [v6] : ( ~ (k5_rmod_4(v0, v1, v6) = v4) | ~ m2_rmod_4(v6, v0, v1, v5) | ~ m1_subset_1(v5, v3) | ~ v1_rmod_5(v5, v0, v1) | k2_rmod_4(v0, v1, v6) = k1_xboole_0) & ! [v5] : ( ~ m1_subset_1(v5, v3) | v1_rmod_5(v5, v0, v1) | ? [v6] : ? [v7] : ( ~ (v7 = k1_xboole_0) & k5_rmod_4(v0, v1, v6) = v4 & k2_rmod_4(v0, v1, v6) = v7 & m2_rmod_4(v6, v0, v1, v5)))))
% 8.73/2.63 | (68) v1_xboole_0(all_0_7_7)
% 8.73/2.63 | (69) v5_rlvect_1(all_0_13_13)
% 8.73/2.63 | (70) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_finset_1(v3) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3)))
% 8.73/2.63 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k1_fraenkel(v2, v3) = v4) | ~ (u1_struct_0(v1) = v2) | ~ (u1_struct_0(v0) = v3) | ~ m1_rmod_4(v5, 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) | m2_fraenkel(v5, v2, v3, v4) | v3_struct_0(v1) | v3_struct_0(v0))
% 8.73/2.63 | (72) ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0))
% 8.73/2.63 | (73) ~ v3_struct_0(all_0_14_14)
% 8.73/2.63 | (74) ! [v0] : ! [v1] : ( ~ (k1_rlvect_1(v0) = v1) | ~ l2_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_subset_1(v1, v2)))
% 8.73/2.63 | (75) ! [v0] : ! [v1] : ( ~ (k1_subset_1(v0) = v1) | v1_xboole_0(v1))
% 8.73/2.63 | (76) l3_vectsp_1(all_0_14_14)
% 8.73/2.63 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (a_3_0_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | k2_rmod_4(v0, v1, v2) = v3 | v3_struct_0(v1) | v3_struct_0(v0))
% 8.73/2.63 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0))
% 8.73/2.63 | (79) v4_rlvect_1(all_0_14_14)
% 8.73/2.63 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v2) | ~ (u1_struct_0(v0) = v3) | ~ 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) | ? [v4] : (k1_fraenkel(v2, v3) = v4 & ! [v5] : ( ~ m1_rmod_4(v5, v0, v1) | m2_fraenkel(v5, v2, v3, v4))))
% 8.73/2.63 | (81) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 8.73/2.63 | (82) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 8.73/2.63 | (83) ~ v3_struct_0(all_0_9_9)
% 8.73/2.63 | (84) l3_vectsp_1(all_0_6_6)
% 8.73/2.63 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_fraenkel(v0, v1) = v2) | m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1))
% 8.73/2.63 | (86) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 8.73/2.63 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | ? [v4] : (u1_struct_0(v1) = v4 & m1_subset_1(v3, v4)))
% 8.73/2.63 | (88) ! [v0] : ( ~ l1_rlvect_1(v0) | l2_struct_0(v0))
% 8.73/2.63 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | ? [v4] : ? [v5] : (u1_struct_0(v1) = v4 & k1_zfmisc_1(v4) = v5 & m1_subset_1(v3, v5)))
% 8.73/2.64 | (90) ! [v0] : ( ~ l1_struct_0(v0) | ? [v1] : l1_vectsp_2(v1, v0))
% 8.73/2.64 | (91) ! [v0] : ( ~ l1_vectsp_1(v0) | l1_group_1(v0))
% 8.73/2.64 | (92) v6_rlvect_1(all_0_13_13)
% 8.73/2.64 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_rlvect_1(v2) = v1) | ~ (k1_rlvect_1(v2) = v0))
% 8.73/2.64 | (94) ! [v0] : ( ~ l2_vectsp_1(v0) | l1_vectsp_1(v0))
% 8.73/2.64 | (95) l2_vectsp_1(all_0_5_5)
% 8.73/2.64 | (96) l1_rlvect_1(all_0_1_1)
% 8.73/2.64 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 8.73/2.64 | (98) ~ v3_struct_0(all_0_10_10)
% 8.73/2.64 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 8.73/2.64 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 8.73/2.64 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | v1_finset_1(v3) | v3_struct_0(v1) | v3_struct_0(v0))
% 8.73/2.64 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k5_rmod_4(v4, v3, v2) = v1) | ~ (k5_rmod_4(v4, v3, v2) = v0))
% 8.73/2.64 | (103) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (k1_subset_1(v0) = v2 & m1_subset_1(v2, v1)))
% 8.73/2.64 | (104) l1_struct_0(all_0_2_2)
% 8.73/2.64 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_rmod_4(v0, v1, v2) = v3) | ~ m1_rmod_4(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) | a_3_0_rmod_4(v0, v1, v2) = v3 | v3_struct_0(v1) | v3_struct_0(v0))
% 8.73/2.64 | (106) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 8.73/2.64 | (107) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_fraenkel(v0, v1) = v2) | k1_funct_2(v0, v1) = v2 | v1_xboole_0(v1))
% 8.73/2.64 | (108) l2_struct_0(all_0_10_10)
% 8.73/2.64 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m2_fraenkel(v3, v0, v1, v2) | ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) | m1_subset_1(v3, v2))
% 8.73/2.64 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k8_funct_2(v0, v1, v2, v3) = v4) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_subset_1(v3, v0) | k1_funct_1(v2, v3) = v4 | v1_xboole_0(v0))
% 8.73/2.64 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1))
% 8.73/2.64 | (112) ! [v0] : ( ~ l2_vectsp_1(v0) | l2_struct_0(v0))
% 8.73/2.64 | (113) v1_xboole_0(k1_xboole_0)
% 8.73/2.64 | (114) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v2) = v3) | ~ l1_vectsp_2(v2, v1) | ~ v5_vectsp_2(v2, v1) | ~ l3_vectsp_1(v1) | ~ v8_vectsp_1(v1) | ~ v7_vectsp_1(v1) | ~ v6_vectsp_1(v1) | ~ v4_group_1(v1) | ~ v6_rlvect_1(v2) | ~ v6_rlvect_1(v1) | ~ v5_rlvect_1(v2) | ~ v5_rlvect_1(v1) | ~ v4_rlvect_1(v2) | ~ v4_rlvect_1(v1) | ~ v3_rlvect_1(v2) | ~ v3_rlvect_1(v1) | v3_struct_0(v2) | v3_struct_0(v1) | ? [v4] : (m2_rmod_4(v4, v1, v2, v0) | (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4))))
% 8.73/2.64 | (115) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 8.73/2.64 | (116) l1_group_1(all_0_0_0)
% 8.73/2.64 | (117) l2_struct_0(all_0_4_4)
% 8.73/2.64 | (118) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) | ? [v3] : m2_fraenkel(v3, v0, v1, v2))
% 8.73/2.64 |
% 8.73/2.64 | Instantiating formula (75) with all_0_11_11, all_0_12_12 and discharging atoms k1_subset_1(all_0_12_12) = all_0_11_11, yields:
% 8.73/2.64 | (119) v1_xboole_0(all_0_11_11)
% 8.73/2.64 |
% 8.73/2.64 | Instantiating formula (21) with all_0_11_11, all_0_12_12 and discharging atoms k1_subset_1(all_0_12_12) = all_0_11_11, yields:
% 8.73/2.64 | (120) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & m1_subset_1(all_0_11_11, v0))
% 8.73/2.64 |
% 8.73/2.64 | Instantiating formula (67) with all_0_12_12, all_0_13_13, all_0_14_14 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_vectsp_2(all_0_13_13, all_0_14_14), v5_vectsp_2(all_0_13_13, all_0_14_14), l3_vectsp_1(all_0_14_14), v8_vectsp_1(all_0_14_14), v7_vectsp_1(all_0_14_14), v6_vectsp_1(all_0_14_14), v4_group_1(all_0_14_14), v6_rlvect_1(all_0_13_13), v6_rlvect_1(all_0_14_14), v5_rlvect_1(all_0_13_13), v5_rlvect_1(all_0_14_14), v4_rlvect_1(all_0_13_13), v4_rlvect_1(all_0_14_14), v3_rlvect_1(all_0_13_13), v3_rlvect_1(all_0_14_14), ~ v3_struct_0(all_0_13_13), ~ v3_struct_0(all_0_14_14), yields:
% 8.73/2.64 | (121) ? [v0] : ? [v1] : (k1_rlvect_1(all_0_13_13) = v1 & k1_zfmisc_1(all_0_12_12) = v0 & ! [v2] : ! [v3] : ! [v4] : (v4 = k1_xboole_0 | ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v3) = v4) | ~ m2_rmod_4(v3, all_0_14_14, all_0_13_13, v2) | ~ m1_subset_1(v2, v0) | ~ v1_rmod_5(v2, all_0_14_14, all_0_13_13) | ? [v5] : ( ~ (v5 = v1) & k5_rmod_4(all_0_14_14, all_0_13_13, v3) = v5)) & ! [v2] : ! [v3] : ( ~ (k5_rmod_4(all_0_14_14, all_0_13_13, v3) = v1) | ~ m2_rmod_4(v3, all_0_14_14, all_0_13_13, v2) | ~ m1_subset_1(v2, v0) | ~ v1_rmod_5(v2, all_0_14_14, all_0_13_13) | k2_rmod_4(all_0_14_14, all_0_13_13, v3) = k1_xboole_0) & ! [v2] : ( ~ m1_subset_1(v2, v0) | v1_rmod_5(v2, all_0_14_14, all_0_13_13) | ? [v3] : ? [v4] : ( ~ (v4 = k1_xboole_0) & k5_rmod_4(all_0_14_14, all_0_13_13, v3) = v1 & k2_rmod_4(all_0_14_14, all_0_13_13, v3) = v4 & m2_rmod_4(v3, all_0_14_14, all_0_13_13, v2))))
% 8.73/2.64 |
% 8.73/2.64 | Instantiating formula (36) with all_0_12_12, all_0_13_13, all_0_14_14 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_vectsp_2(all_0_13_13, all_0_14_14), v5_vectsp_2(all_0_13_13, all_0_14_14), l3_vectsp_1(all_0_14_14), v8_vectsp_1(all_0_14_14), v7_vectsp_1(all_0_14_14), v6_vectsp_1(all_0_14_14), v4_group_1(all_0_14_14), v6_rlvect_1(all_0_13_13), v6_rlvect_1(all_0_14_14), v5_rlvect_1(all_0_13_13), v5_rlvect_1(all_0_14_14), v4_rlvect_1(all_0_13_13), v4_rlvect_1(all_0_14_14), v3_rlvect_1(all_0_13_13), v3_rlvect_1(all_0_14_14), ~ v3_struct_0(all_0_13_13), ~ v3_struct_0(all_0_14_14), yields:
% 8.73/2.64 | (122) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v2) = v3) | ~ r1_tarski(v3, v1) | ~ m1_rmod_4(v2, all_0_14_14, all_0_13_13) | ~ m1_subset_1(v1, v0) | m2_rmod_4(v2, all_0_14_14, all_0_13_13, v1)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v2) = v3) | ~ m1_rmod_4(v2, all_0_14_14, all_0_13_13) | ~ m2_rmod_4(v2, all_0_14_14, all_0_13_13, v1) | ~ m1_subset_1(v1, v0) | r1_tarski(v3, v1)))
% 8.73/2.64 |
% 8.73/2.64 | Instantiating (122) with all_33_0_34 yields:
% 8.73/2.64 | (123) k1_zfmisc_1(all_0_12_12) = all_33_0_34 & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2) | ~ r1_tarski(v2, v0) | ~ m1_rmod_4(v1, all_0_14_14, all_0_13_13) | ~ m1_subset_1(v0, all_33_0_34) | m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2) | ~ m1_rmod_4(v1, all_0_14_14, all_0_13_13) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_33_0_34) | r1_tarski(v2, v0))
% 8.73/2.65 |
% 8.73/2.65 | Applying alpha-rule on (123) yields:
% 8.73/2.65 | (124) k1_zfmisc_1(all_0_12_12) = all_33_0_34
% 8.73/2.65 | (125) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2) | ~ r1_tarski(v2, v0) | ~ m1_rmod_4(v1, all_0_14_14, all_0_13_13) | ~ m1_subset_1(v0, all_33_0_34) | m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0))
% 8.73/2.65 | (126) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2) | ~ m1_rmod_4(v1, all_0_14_14, all_0_13_13) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_33_0_34) | r1_tarski(v2, v0))
% 8.73/2.65 |
% 8.73/2.65 | Instantiating (121) with all_36_0_35, all_36_1_36 yields:
% 8.73/2.65 | (127) k1_rlvect_1(all_0_13_13) = all_36_0_35 & k1_zfmisc_1(all_0_12_12) = all_36_1_36 & ! [v0] : ! [v1] : ! [v2] : (v2 = k1_xboole_0 | ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_36_1_36) | ~ v1_rmod_5(v0, all_0_14_14, all_0_13_13) | ? [v3] : ( ~ (v3 = all_36_0_35) & k5_rmod_4(all_0_14_14, all_0_13_13, v1) = v3)) & ! [v0] : ! [v1] : ( ~ (k5_rmod_4(all_0_14_14, all_0_13_13, v1) = all_36_0_35) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_36_1_36) | ~ v1_rmod_5(v0, all_0_14_14, all_0_13_13) | k2_rmod_4(all_0_14_14, all_0_13_13, v1) = k1_xboole_0) & ! [v0] : ( ~ m1_subset_1(v0, all_36_1_36) | v1_rmod_5(v0, all_0_14_14, all_0_13_13) | ? [v1] : ? [v2] : ( ~ (v2 = k1_xboole_0) & k5_rmod_4(all_0_14_14, all_0_13_13, v1) = all_36_0_35 & k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2 & m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0)))
% 8.73/2.65 |
% 8.73/2.65 | Applying alpha-rule on (127) yields:
% 8.73/2.65 | (128) ! [v0] : ( ~ m1_subset_1(v0, all_36_1_36) | v1_rmod_5(v0, all_0_14_14, all_0_13_13) | ? [v1] : ? [v2] : ( ~ (v2 = k1_xboole_0) & k5_rmod_4(all_0_14_14, all_0_13_13, v1) = all_36_0_35 & k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2 & m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0)))
% 8.73/2.65 | (129) ! [v0] : ! [v1] : ! [v2] : (v2 = k1_xboole_0 | ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_36_1_36) | ~ v1_rmod_5(v0, all_0_14_14, all_0_13_13) | ? [v3] : ( ~ (v3 = all_36_0_35) & k5_rmod_4(all_0_14_14, all_0_13_13, v1) = v3))
% 8.73/2.65 | (130) k1_rlvect_1(all_0_13_13) = all_36_0_35
% 8.73/2.65 | (131) k1_zfmisc_1(all_0_12_12) = all_36_1_36
% 8.73/2.65 | (132) ! [v0] : ! [v1] : ( ~ (k5_rmod_4(all_0_14_14, all_0_13_13, v1) = all_36_0_35) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_36_1_36) | ~ v1_rmod_5(v0, all_0_14_14, all_0_13_13) | k2_rmod_4(all_0_14_14, all_0_13_13, v1) = k1_xboole_0)
% 8.73/2.65 |
% 8.73/2.65 | Instantiating (120) with all_47_0_41 yields:
% 8.73/2.65 | (133) k1_zfmisc_1(all_0_12_12) = all_47_0_41 & m1_subset_1(all_0_11_11, all_47_0_41)
% 8.73/2.65 |
% 8.73/2.65 | Applying alpha-rule on (133) yields:
% 8.73/2.65 | (134) k1_zfmisc_1(all_0_12_12) = all_47_0_41
% 8.73/2.65 | (135) m1_subset_1(all_0_11_11, all_47_0_41)
% 8.73/2.65 |
% 8.73/2.65 | Instantiating formula (99) with all_0_12_12, all_36_1_36, all_47_0_41 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_47_0_41, k1_zfmisc_1(all_0_12_12) = all_36_1_36, yields:
% 8.73/2.65 | (136) all_47_0_41 = all_36_1_36
% 8.73/2.65 |
% 8.73/2.65 | Instantiating formula (99) with all_0_12_12, all_33_0_34, all_47_0_41 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_47_0_41, k1_zfmisc_1(all_0_12_12) = all_33_0_34, yields:
% 8.73/2.65 | (137) all_47_0_41 = all_33_0_34
% 8.73/2.65 |
% 8.73/2.65 | Instantiating formula (17) with all_0_11_11 and discharging atoms v1_xboole_0(all_0_11_11), yields:
% 8.73/2.65 | (138) all_0_11_11 = k1_xboole_0
% 8.73/2.65 |
% 8.73/2.65 | Combining equations (136,137) yields a new equation:
% 8.73/2.65 | (139) all_36_1_36 = all_33_0_34
% 8.73/2.65 |
% 8.73/2.65 | Simplifying 139 yields:
% 8.73/2.65 | (140) all_36_1_36 = all_33_0_34
% 8.73/2.65 |
% 8.73/2.65 | From (140) and (131) follows:
% 8.73/2.65 | (124) k1_zfmisc_1(all_0_12_12) = all_33_0_34
% 8.73/2.65 |
% 8.73/2.65 | From (138)(137) and (135) follows:
% 8.73/2.65 | (142) m1_subset_1(k1_xboole_0, all_33_0_34)
% 8.73/2.65 |
% 8.73/2.65 | From (138) and (60) follows:
% 8.73/2.65 | (143) ~ v1_rmod_5(k1_xboole_0, all_0_14_14, all_0_13_13)
% 8.73/2.65 |
% 8.73/2.65 | Instantiating formula (63) with all_36_0_35, all_0_13_13, all_0_14_14 and discharging atoms k1_rlvect_1(all_0_13_13) = all_36_0_35, l1_vectsp_2(all_0_13_13, all_0_14_14), v5_vectsp_2(all_0_13_13, all_0_14_14), l3_vectsp_1(all_0_14_14), v8_vectsp_1(all_0_14_14), v7_vectsp_1(all_0_14_14), v6_vectsp_1(all_0_14_14), v4_group_1(all_0_14_14), v6_rlvect_1(all_0_13_13), v6_rlvect_1(all_0_14_14), v5_rlvect_1(all_0_13_13), v5_rlvect_1(all_0_14_14), v4_rlvect_1(all_0_13_13), v4_rlvect_1(all_0_14_14), v3_rlvect_1(all_0_13_13), v3_rlvect_1(all_0_14_14), ~ v3_struct_0(all_0_13_13), ~ v3_struct_0(all_0_14_14), yields:
% 8.73/2.65 | (144) ? [v0] : ? [v1] : (u1_struct_0(all_0_13_13) = v0 & k1_zfmisc_1(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : (v4 = k1_xboole_0 | ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v3) = v4) | ~ m2_rmod_4(v3, all_0_14_14, all_0_13_13, v2) | ~ m1_subset_1(v2, v1) | ~ v1_rmod_5(v2, all_0_14_14, all_0_13_13) | ? [v5] : ( ~ (v5 = all_36_0_35) & k5_rmod_4(all_0_14_14, all_0_13_13, v3) = v5)) & ! [v2] : ! [v3] : ( ~ (k5_rmod_4(all_0_14_14, all_0_13_13, v3) = all_36_0_35) | ~ m2_rmod_4(v3, all_0_14_14, all_0_13_13, v2) | ~ m1_subset_1(v2, v1) | ~ v1_rmod_5(v2, all_0_14_14, all_0_13_13) | k2_rmod_4(all_0_14_14, all_0_13_13, v3) = k1_xboole_0) & ! [v2] : ( ~ m1_subset_1(v2, v1) | v1_rmod_5(v2, all_0_14_14, all_0_13_13) | ? [v3] : ? [v4] : ( ~ (v4 = k1_xboole_0) & k5_rmod_4(all_0_14_14, all_0_13_13, v3) = all_36_0_35 & k2_rmod_4(all_0_14_14, all_0_13_13, v3) = v4 & m2_rmod_4(v3, all_0_14_14, all_0_13_13, v2))))
% 8.73/2.65 |
% 8.73/2.65 | Instantiating formula (10) with all_33_0_34, all_0_12_12 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_33_0_34, yields:
% 8.73/2.65 | (145) ? [v0] : (v1_xboole_0(v0) & m1_subset_1(v0, all_33_0_34))
% 8.73/2.65 |
% 8.73/2.65 | Instantiating formula (128) with k1_xboole_0 and discharging atoms ~ v1_rmod_5(k1_xboole_0, all_0_14_14, all_0_13_13), yields:
% 8.73/2.65 | (146) ~ m1_subset_1(k1_xboole_0, all_36_1_36) | ? [v0] : ? [v1] : ( ~ (v1 = k1_xboole_0) & k5_rmod_4(all_0_14_14, all_0_13_13, v0) = all_36_0_35 & k2_rmod_4(all_0_14_14, all_0_13_13, v0) = v1 & m2_rmod_4(v0, all_0_14_14, all_0_13_13, k1_xboole_0))
% 8.73/2.65 |
% 8.73/2.65 | Instantiating (145) with all_59_0_42 yields:
% 8.73/2.65 | (147) v1_xboole_0(all_59_0_42) & m1_subset_1(all_59_0_42, all_33_0_34)
% 8.73/2.65 |
% 8.73/2.65 | Applying alpha-rule on (147) yields:
% 8.73/2.65 | (148) v1_xboole_0(all_59_0_42)
% 8.73/2.65 | (149) m1_subset_1(all_59_0_42, all_33_0_34)
% 8.73/2.65 |
% 8.73/2.65 | Instantiating (144) with all_69_0_47, all_69_1_48 yields:
% 8.73/2.65 | (150) u1_struct_0(all_0_13_13) = all_69_1_48 & k1_zfmisc_1(all_69_1_48) = all_69_0_47 & ! [v0] : ! [v1] : ! [v2] : (v2 = k1_xboole_0 | ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_69_0_47) | ~ v1_rmod_5(v0, all_0_14_14, all_0_13_13) | ? [v3] : ( ~ (v3 = all_36_0_35) & k5_rmod_4(all_0_14_14, all_0_13_13, v1) = v3)) & ! [v0] : ! [v1] : ( ~ (k5_rmod_4(all_0_14_14, all_0_13_13, v1) = all_36_0_35) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_69_0_47) | ~ v1_rmod_5(v0, all_0_14_14, all_0_13_13) | k2_rmod_4(all_0_14_14, all_0_13_13, v1) = k1_xboole_0) & ! [v0] : ( ~ m1_subset_1(v0, all_69_0_47) | v1_rmod_5(v0, all_0_14_14, all_0_13_13) | ? [v1] : ? [v2] : ( ~ (v2 = k1_xboole_0) & k5_rmod_4(all_0_14_14, all_0_13_13, v1) = all_36_0_35 & k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2 & m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0)))
% 8.73/2.65 |
% 8.73/2.65 | Applying alpha-rule on (150) yields:
% 8.73/2.65 | (151) ! [v0] : ( ~ m1_subset_1(v0, all_69_0_47) | v1_rmod_5(v0, all_0_14_14, all_0_13_13) | ? [v1] : ? [v2] : ( ~ (v2 = k1_xboole_0) & k5_rmod_4(all_0_14_14, all_0_13_13, v1) = all_36_0_35 & k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2 & m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0)))
% 8.73/2.65 | (152) ! [v0] : ! [v1] : ( ~ (k5_rmod_4(all_0_14_14, all_0_13_13, v1) = all_36_0_35) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_69_0_47) | ~ v1_rmod_5(v0, all_0_14_14, all_0_13_13) | k2_rmod_4(all_0_14_14, all_0_13_13, v1) = k1_xboole_0)
% 8.73/2.65 | (153) ! [v0] : ! [v1] : ! [v2] : (v2 = k1_xboole_0 | ~ (k2_rmod_4(all_0_14_14, all_0_13_13, v1) = v2) | ~ m2_rmod_4(v1, all_0_14_14, all_0_13_13, v0) | ~ m1_subset_1(v0, all_69_0_47) | ~ v1_rmod_5(v0, all_0_14_14, all_0_13_13) | ? [v3] : ( ~ (v3 = all_36_0_35) & k5_rmod_4(all_0_14_14, all_0_13_13, v1) = v3))
% 8.73/2.65 | (154) u1_struct_0(all_0_13_13) = all_69_1_48
% 8.73/2.65 | (155) k1_zfmisc_1(all_69_1_48) = all_69_0_47
% 8.73/2.65 |
% 8.73/2.65 +-Applying beta-rule and splitting (146), into two cases.
% 8.73/2.65 |-Branch one:
% 8.73/2.66 | (156) ~ m1_subset_1(k1_xboole_0, all_36_1_36)
% 8.73/2.66 |
% 8.73/2.66 | From (140) and (156) follows:
% 8.73/2.66 | (157) ~ m1_subset_1(k1_xboole_0, all_33_0_34)
% 8.73/2.66 |
% 8.73/2.66 | Using (142) and (157) yields:
% 8.73/2.66 | (158) $false
% 8.73/2.66 |
% 8.73/2.66 |-The branch is then unsatisfiable
% 8.73/2.66 |-Branch two:
% 8.73/2.66 | (159) m1_subset_1(k1_xboole_0, all_36_1_36)
% 8.73/2.66 | (160) ? [v0] : ? [v1] : ( ~ (v1 = k1_xboole_0) & k5_rmod_4(all_0_14_14, all_0_13_13, v0) = all_36_0_35 & k2_rmod_4(all_0_14_14, all_0_13_13, v0) = v1 & m2_rmod_4(v0, all_0_14_14, all_0_13_13, k1_xboole_0))
% 8.73/2.66 |
% 8.73/2.66 | Instantiating (160) with all_80_0_51, all_80_1_52 yields:
% 8.73/2.66 | (161) ~ (all_80_0_51 = k1_xboole_0) & k5_rmod_4(all_0_14_14, all_0_13_13, all_80_1_52) = all_36_0_35 & k2_rmod_4(all_0_14_14, all_0_13_13, all_80_1_52) = all_80_0_51 & m2_rmod_4(all_80_1_52, all_0_14_14, all_0_13_13, k1_xboole_0)
% 8.73/2.66 |
% 8.73/2.66 | Applying alpha-rule on (161) yields:
% 8.73/2.66 | (162) ~ (all_80_0_51 = k1_xboole_0)
% 8.73/2.66 | (163) k5_rmod_4(all_0_14_14, all_0_13_13, all_80_1_52) = all_36_0_35
% 8.73/2.66 | (164) k2_rmod_4(all_0_14_14, all_0_13_13, all_80_1_52) = all_80_0_51
% 8.73/2.66 | (165) m2_rmod_4(all_80_1_52, all_0_14_14, all_0_13_13, k1_xboole_0)
% 8.73/2.66 |
% 8.73/2.66 | Instantiating formula (97) with all_0_13_13, all_69_1_48, all_0_12_12 and discharging atoms u1_struct_0(all_0_13_13) = all_69_1_48, u1_struct_0(all_0_13_13) = all_0_12_12, yields:
% 8.73/2.66 | (166) all_69_1_48 = all_0_12_12
% 8.73/2.66 |
% 8.73/2.66 | Instantiating formula (17) with all_59_0_42 and discharging atoms v1_xboole_0(all_59_0_42), yields:
% 8.73/2.66 | (167) all_59_0_42 = k1_xboole_0
% 8.73/2.66 |
% 8.73/2.66 | From (166) and (154) follows:
% 8.73/2.66 | (37) u1_struct_0(all_0_13_13) = all_0_12_12
% 8.73/2.66 |
% 8.73/2.66 | From (166) and (155) follows:
% 8.73/2.66 | (169) k1_zfmisc_1(all_0_12_12) = all_69_0_47
% 8.73/2.66 |
% 8.73/2.66 | From (167) and (149) follows:
% 8.73/2.66 | (142) m1_subset_1(k1_xboole_0, all_33_0_34)
% 8.73/2.66 |
% 8.73/2.66 | Instantiating formula (99) with all_0_12_12, all_69_0_47, all_33_0_34 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_69_0_47, k1_zfmisc_1(all_0_12_12) = all_33_0_34, yields:
% 8.73/2.66 | (171) all_69_0_47 = all_33_0_34
% 8.73/2.66 |
% 8.73/2.66 | From (171) and (169) follows:
% 8.73/2.66 | (124) k1_zfmisc_1(all_0_12_12) = all_33_0_34
% 8.73/2.66 |
% 8.73/2.66 | Instantiating formula (6) with all_80_1_52, all_0_12_12, k1_xboole_0, all_0_13_13, all_0_14_14 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, m2_rmod_4(all_80_1_52, all_0_14_14, all_0_13_13, k1_xboole_0), l1_vectsp_2(all_0_13_13, all_0_14_14), v5_vectsp_2(all_0_13_13, all_0_14_14), l3_vectsp_1(all_0_14_14), v8_vectsp_1(all_0_14_14), v7_vectsp_1(all_0_14_14), v6_vectsp_1(all_0_14_14), v4_group_1(all_0_14_14), v6_rlvect_1(all_0_13_13), v6_rlvect_1(all_0_14_14), v5_rlvect_1(all_0_13_13), v5_rlvect_1(all_0_14_14), v4_rlvect_1(all_0_13_13), v4_rlvect_1(all_0_14_14), v3_rlvect_1(all_0_13_13), v3_rlvect_1(all_0_14_14), ~ v3_struct_0(all_0_13_13), ~ v3_struct_0(all_0_14_14), yields:
% 8.73/2.66 | (173) m1_rmod_4(all_80_1_52, all_0_14_14, all_0_13_13) | ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ~ m1_subset_1(k1_xboole_0, v0))
% 8.73/2.66 |
% 8.73/2.66 +-Applying beta-rule and splitting (173), into two cases.
% 8.73/2.66 |-Branch one:
% 8.73/2.66 | (174) m1_rmod_4(all_80_1_52, all_0_14_14, all_0_13_13)
% 8.73/2.66 |
% 8.73/2.66 | Instantiating formula (126) with all_80_0_51, all_80_1_52, k1_xboole_0 and discharging atoms k2_rmod_4(all_0_14_14, all_0_13_13, all_80_1_52) = all_80_0_51, m1_rmod_4(all_80_1_52, all_0_14_14, all_0_13_13), m2_rmod_4(all_80_1_52, all_0_14_14, all_0_13_13, k1_xboole_0), m1_subset_1(k1_xboole_0, all_33_0_34), yields:
% 8.73/2.66 | (175) r1_tarski(all_80_0_51, k1_xboole_0)
% 8.73/2.66 |
% 8.73/2.66 | Instantiating formula (26) with all_80_0_51 and discharging atoms r1_tarski(all_80_0_51, k1_xboole_0), yields:
% 8.73/2.66 | (176) all_80_0_51 = k1_xboole_0
% 8.73/2.66 |
% 8.73/2.66 | Equations (176) can reduce 162 to:
% 8.73/2.66 | (177) $false
% 8.73/2.66 |
% 8.73/2.66 |-The branch is then unsatisfiable
% 8.73/2.66 |-Branch two:
% 8.73/2.66 | (178) ~ m1_rmod_4(all_80_1_52, all_0_14_14, all_0_13_13)
% 8.73/2.66 | (179) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ~ m1_subset_1(k1_xboole_0, v0))
% 8.73/2.66 |
% 8.73/2.66 | Instantiating (179) with all_112_0_66 yields:
% 8.73/2.66 | (180) k1_zfmisc_1(all_0_12_12) = all_112_0_66 & ~ m1_subset_1(k1_xboole_0, all_112_0_66)
% 8.73/2.66 |
% 8.73/2.66 | Applying alpha-rule on (180) yields:
% 8.73/2.66 | (181) k1_zfmisc_1(all_0_12_12) = all_112_0_66
% 8.73/2.66 | (182) ~ m1_subset_1(k1_xboole_0, all_112_0_66)
% 8.73/2.66 |
% 8.73/2.66 | Instantiating formula (99) with all_0_12_12, all_112_0_66, all_33_0_34 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_112_0_66, k1_zfmisc_1(all_0_12_12) = all_33_0_34, yields:
% 8.73/2.66 | (183) all_112_0_66 = all_33_0_34
% 8.73/2.66 |
% 8.73/2.66 | From (183) and (182) follows:
% 8.73/2.66 | (157) ~ m1_subset_1(k1_xboole_0, all_33_0_34)
% 8.73/2.66 |
% 8.73/2.66 | Using (142) and (157) yields:
% 8.73/2.66 | (158) $false
% 8.73/2.66 |
% 8.73/2.66 |-The branch is then unsatisfiable
% 8.73/2.66 % SZS output end Proof for theBenchmark
% 8.73/2.66
% 8.73/2.66 2081ms
%------------------------------------------------------------------------------