TSTP Solution File: TOP035+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : TOP035+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n017.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 21 21:24:41 EDT 2022
% Result : Theorem 6.51s 2.04s
% Output : Proof 10.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : TOP035+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n017.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 : Sun May 29 13:59:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.58 ____ _
% 0.20/0.58 ___ / __ \_____(_)___ ________ __________
% 0.20/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.20/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.20/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.20/0.58
% 0.20/0.58 A Theorem Prover for First-Order Logic
% 0.20/0.58 (ePrincess v.1.0)
% 0.20/0.58
% 0.20/0.58 (c) Philipp Rümmer, 2009-2015
% 0.20/0.58 (c) Peter Backeman, 2014-2015
% 0.20/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.20/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.20/0.58 Bug reports to peter@backeman.se
% 0.20/0.58
% 0.20/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.20/0.58
% 0.20/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.21/1.07 Prover 0: Preprocessing ...
% 4.55/1.57 Prover 0: Warning: ignoring some quantifiers
% 4.55/1.61 Prover 0: Constructing countermodel ...
% 6.51/2.04 Prover 0: proved (1414ms)
% 6.51/2.04
% 6.51/2.04 No countermodel exists, formula is valid
% 6.51/2.04 % SZS status Theorem for theBenchmark
% 6.51/2.04
% 6.51/2.04 Generating proof ... Warning: ignoring some quantifiers
% 9.80/2.80 found it (size 96)
% 9.80/2.80
% 9.80/2.80 % SZS output start Proof for theBenchmark
% 9.80/2.80 Assumed formulas after preprocessing and simplification:
% 9.80/2.80 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ( ~ (v10 = v7) & k6_pre_topc(v2, v8) = v9 & k6_pre_topc(v0, v6) = v7 & k5_pre_topc(v0, v2, v4, v9) = v10 & k1_struct_0(v2, v5) = v8 & k1_struct_0(v0, v5) = v6 & k1_tsp_2(v0, v2) = v4 & u1_struct_0(v2) = v3 & u1_struct_0(v0) = v1 & l1_struct_0(v13) & l1_struct_0(v11) & v1_xboole_0(k1_xboole_0) & v5_membered(v12) & v5_membered(k1_xboole_0) & v4_membered(v12) & v4_membered(k1_xboole_0) & v3_membered(v12) & v3_membered(k1_xboole_0) & v2_membered(v12) & v2_membered(k1_xboole_0) & v1_membered(v12) & v1_membered(k1_xboole_0) & m1_subset_1(v5, v3) & m1_subset_1(v5, v1) & m2_tsp_1(v2, v0) & v2_tsp_2(v2, v0) & l1_pre_topc(v14) & l1_pre_topc(v0) & v2_pre_topc(v0) & ~ v1_xboole_0(v12) & ~ v3_struct_0(v11) & ~ v3_struct_0(v2) & ~ v3_struct_0(v0) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v22 | ~ (k6_pre_topc(v17, v23) = v24) | ~ (k6_pre_topc(v15, v21) = v22) | ~ (k5_pre_topc(v15, v17, v19, v24) = v25) | ~ (k1_struct_0(v17, v20) = v23) | ~ (k1_struct_0(v15, v20) = v21) | ~ (u1_struct_0(v17) = v18) | ~ (u1_struct_0(v15) = v16) | ~ v3_borsuk_1(v19, v15, v17) | ~ m2_relset_1(v19, v16, v18) | ~ v5_pre_topc(v19, v15, v17) | ~ v1_funct_2(v19, v16, v18) | ~ v1_funct_1(v19) | ~ m1_subset_1(v20, v18) | ~ m1_subset_1(v20, v16) | ~ m2_tsp_1(v17, v15) | ~ v2_tsp_2(v17, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_struct_0(v17) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k10_relat_1(v17, v18) = v21) | ~ (u1_struct_0(v16) = v20) | ~ (u1_struct_0(v15) = v19) | ~ m1_relset_1(v17, v19, v20) | ~ l1_struct_0(v16) | ~ l1_struct_0(v15) | ~ v1_funct_2(v17, v19, v20) | ~ v1_funct_1(v17) | k5_pre_topc(v15, v16, v17, v18) = v21) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v16 = v15 | ~ (k5_pre_topc(v20, v19, v18, v17) = v16) | ~ (k5_pre_topc(v20, v19, v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k5_pre_topc(v15, v16, v17, v18) = v19) | ~ l1_struct_0(v16) | ~ l1_struct_0(v15) | ~ v1_funct_1(v17) | ? [v20] : ? [v21] : ? [v22] : (k10_relat_1(v17, v18) = v22 & u1_struct_0(v16) = v21 & u1_struct_0(v15) = v20 & (v22 = v19 | ~ m1_relset_1(v17, v20, v21) | ~ v1_funct_2(v17, v20, v21)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (k5_pre_topc(v15, v16, v17, v18) = v19) | ~ l1_struct_0(v16) | ~ l1_struct_0(v15) | ~ v1_funct_1(v17) | ? [v20] : ? [v21] : ? [v22] : (u1_struct_0(v16) = v21 & u1_struct_0(v15) = v20 & k1_zfmisc_1(v20) = v22 & ( ~ m1_relset_1(v17, v20, v21) | ~ v1_funct_2(v17, v20, v21) | m1_subset_1(v19, v22)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (k10_relat_1(v18, v17) = v16) | ~ (k10_relat_1(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (k6_pre_topc(v18, v17) = v16) | ~ (k6_pre_topc(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (k1_struct_0(v18, v17) = v16) | ~ (k1_struct_0(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (k1_tsp_2(v18, v17) = v16) | ~ (k1_tsp_2(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] : ( ~ (k1_tarski(v16) = v18) | ~ (u1_struct_0(v15) = v17) | ~ l1_struct_0(v15) | ~ m1_subset_1(v16, v17) | k1_struct_0(v15, v16) = v18 | v3_struct_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_tsp_2(v15, v17) = v18) | ~ (u1_struct_0(v15) = v16) | ~ m2_tsp_1(v17, v15) | ~ v2_tsp_2(v17, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_struct_0(v17) | v3_struct_0(v15) | ? [v19] : (u1_struct_0(v17) = v19 & ! [v20] : (v20 = v18 | ~ v3_borsuk_1(v20, v15, v17) | ~ m2_relset_1(v20, v16, v19) | ~ v5_pre_topc(v20, v15, v17) | ~ v1_funct_2(v20, v16, v19) | ~ v1_funct_1(v20)) & ( ~ m2_relset_1(v18, v16, v19) | ~ v5_pre_topc(v18, v15, v17) | ~ v1_funct_2(v18, v16, v19) | ~ v1_funct_1(v18) | v3_borsuk_1(v18, v15, v17)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v17) = v18) | ~ (u1_struct_0(v15) = v16) | ~ m2_tsp_1(v17, v15) | ~ v2_tsp_2(v17, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_struct_0(v17) | v3_struct_0(v15) | ? [v19] : (k1_tsp_2(v15, v17) = v19 & ! [v20] : (v20 = v19 | ~ v3_borsuk_1(v20, v15, v17) | ~ m2_relset_1(v20, v16, v18) | ~ v5_pre_topc(v20, v15, v17) | ~ v1_funct_2(v20, v16, v18) | ~ v1_funct_1(v20)) & ( ~ m2_relset_1(v19, v16, v18) | ~ v5_pre_topc(v19, v15, v17) | ~ v1_funct_2(v19, v16, v18) | ~ v1_funct_1(v19) | v3_borsuk_1(v19, v15, v17)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (u1_struct_0(v16) = v18) | ~ (u1_struct_0(v15) = v17) | ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v19] : (k1_tsp_2(v15, v16) = v19 & m2_relset_1(v19, v17, v18) & v5_pre_topc(v19, v15, v16) & v1_funct_2(v19, v17, v18) & v1_funct_1(v19))) & ! [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) | ~ r2_hidden(v15, v16) | ~ m1_subset_1(v16, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (k1_zfmisc_1(v17) = v18) | ~ r2_hidden(v15, v16) | ~ m1_subset_1(v16, v18) | m1_subset_1(v15, v17)) & ? [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_tarski(v17) = v16) | ~ (k1_tarski(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] : ( ~ (k6_pre_topc(v15, v16) = v17) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v4_pre_topc(v17, v15) | ? [v18] : ? [v19] : (u1_struct_0(v15) = v18 & k1_zfmisc_1(v18) = v19 & ~ m1_subset_1(v16, v19))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k6_pre_topc(v15, v16) = v17) | ~ l1_pre_topc(v15) | ? [v18] : ? [v19] : (u1_struct_0(v15) = v18 & k1_zfmisc_1(v18) = v19 & ( ~ m1_subset_1(v16, v19) | m1_subset_1(v17, v19)))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_struct_0(v15, v16) = v17) | ~ l1_struct_0(v15) | v3_struct_0(v15) | ? [v18] : ? [v19] : (k1_tarski(v16) = v19 & u1_struct_0(v15) = v18 & (v19 = v17 | ~ m1_subset_1(v16, v18)))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_struct_0(v15, v16) = v17) | ~ l1_struct_0(v15) | v3_struct_0(v15) | ? [v18] : ? [v19] : (u1_struct_0(v15) = v18 & k1_zfmisc_1(v18) = v19 & ( ~ m1_subset_1(v16, v18) | m1_subset_1(v17, v19)))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_tsp_2(v15, v16) = v17) | ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v5_pre_topc(v17, v15, v16) | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_tsp_2(v15, v16) = v17) | ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v1_funct_1(v17) | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_tsp_2(v15, v16) = v17) | ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_struct_0(v16) | v3_struct_0(v15) | ? [v18] : ? [v19] : (u1_struct_0(v16) = v19 & u1_struct_0(v15) = v18 & m2_relset_1(v17, v18, v19) & v1_funct_2(v17, v18, 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] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v5_membered(v15) | ~ m1_subset_1(v17, v16) | v5_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v5_membered(v15) | ~ m1_subset_1(v17, v16) | v4_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v5_membered(v15) | ~ m1_subset_1(v17, v16) | v3_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v5_membered(v15) | ~ m1_subset_1(v17, v16) | v2_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v5_membered(v15) | ~ m1_subset_1(v17, v16) | v1_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v4_membered(v15) | ~ m1_subset_1(v17, v16) | v4_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v4_membered(v15) | ~ m1_subset_1(v17, v16) | v3_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v4_membered(v15) | ~ m1_subset_1(v17, v16) | v2_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v4_membered(v15) | ~ m1_subset_1(v17, v16) | v1_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v3_membered(v15) | ~ m1_subset_1(v17, v16) | v3_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v3_membered(v15) | ~ m1_subset_1(v17, v16) | v2_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v3_membered(v15) | ~ m1_subset_1(v17, v16) | v1_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v2_membered(v15) | ~ m1_subset_1(v17, v16) | v2_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v2_membered(v15) | ~ m1_subset_1(v17, v16) | v1_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ v1_membered(v15) | ~ m1_subset_1(v17, v16) | v1_membered(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ m1_relset_1(v17, v15, v16) | m2_relset_1(v17, v15, v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ m2_relset_1(v17, v15, v16) | m1_relset_1(v17, v15, v16)) & ! [v15] : ! [v16] : (v16 = v15 | ~ v1_xboole_0(v16) | ~ v1_xboole_0(v15)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_xboole_0(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v4_ordinal2(v15) | v5_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v4_ordinal2(v15) | v4_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v4_ordinal2(v15) | v3_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v4_ordinal2(v15) | v2_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v4_ordinal2(v15) | v1_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_int_1(v15) | v4_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_int_1(v15) | v3_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_int_1(v15) | v2_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_int_1(v15) | v1_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_rat_1(v15) | v3_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_rat_1(v15) | v2_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_rat_1(v15) | v1_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_xreal_0(v15) | v2_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_xreal_0(v15) | v1_membered(v16)) & ! [v15] : ! [v16] : ( ~ (k1_tarski(v15) = v16) | ~ v1_xcmplx_0(v15) | v1_membered(v16)) & ! [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 & m1_subset_1(v18, v17) & ~ v1_xboole_0(v18))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_struct_0(v15) | ? [v17] : ? [v18] : (k1_zfmisc_1(v16) = v17 & v4_pre_topc(v18, v15) & v3_pre_topc(v18, v15) & m1_subset_1(v18, v17) & ~ v1_xboole_0(v18))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_struct_0(v15) | ? [v17] : ? [v18] : (k1_zfmisc_1(v16) = v17 & v4_pre_topc(v18, v15) & m1_subset_1(v18, v17) & ~ v1_xboole_0(v18))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | ? [v17] : ? [v18] : (k1_zfmisc_1(v16) = v17 & v3_tops_1(v18, v15) & v2_tops_1(v18, v15) & v4_pre_topc(v18, v15) & v3_pre_topc(v18, v15) & v1_xboole_0(v18) & v5_membered(v18) & v4_membered(v18) & v3_membered(v18) & v2_membered(v18) & v1_membered(v18) & m1_subset_1(v18, v17))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | ? [v17] : ? [v18] : (k1_zfmisc_1(v16) = v17 & v4_pre_topc(v18, v15) & v3_pre_topc(v18, v15) & m1_subset_1(v18, v17))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | ? [v17] : ? [v18] : (k1_zfmisc_1(v16) = v17 & v4_pre_topc(v18, v15) & m1_subset_1(v18, v17))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | ? [v17] : ? [v18] : (k1_zfmisc_1(v16) = v17 & v3_pre_topc(v18, v15) & m1_subset_1(v18, v17))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | ? [v17] : (k1_zfmisc_1(v16) = v17 & ! [v18] : ( ~ v3_tops_1(v18, v15) | ~ v3_pre_topc(v18, v15) | ~ m1_subset_1(v18, v17) | v2_tops_1(v18, v15)) & ! [v18] : ( ~ v3_tops_1(v18, v15) | ~ v3_pre_topc(v18, v15) | ~ m1_subset_1(v18, v17) | v4_pre_topc(v18, v15)) & ! [v18] : ( ~ v3_tops_1(v18, v15) | ~ v3_pre_topc(v18, v15) | ~ m1_subset_1(v18, v17) | v1_xboole_0(v18)) & ! [v18] : ( ~ v3_tops_1(v18, v15) | ~ v3_pre_topc(v18, v15) | ~ m1_subset_1(v18, v17) | v5_membered(v18)) & ! [v18] : ( ~ v3_tops_1(v18, v15) | ~ v3_pre_topc(v18, v15) | ~ m1_subset_1(v18, v17) | v4_membered(v18)) & ! [v18] : ( ~ v3_tops_1(v18, v15) | ~ v3_pre_topc(v18, v15) | ~ m1_subset_1(v18, v17) | v3_membered(v18)) & ! [v18] : ( ~ v3_tops_1(v18, v15) | ~ v3_pre_topc(v18, v15) | ~ m1_subset_1(v18, v17) | v2_membered(v18)) & ! [v18] : ( ~ v3_tops_1(v18, v15) | ~ v3_pre_topc(v18, v15) | ~ m1_subset_1(v18, v17) | v1_membered(v18)))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | ? [v17] : (k1_zfmisc_1(v16) = v17 & ! [v18] : ( ~ v3_tops_1(v18, v15) | ~ m1_subset_1(v18, v17) | v2_tops_1(v18, v15)))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | ? [v17] : (k1_zfmisc_1(v16) = v17 & ! [v18] : ( ~ v2_tops_1(v18, v15) | ~ v4_pre_topc(v18, v15) | ~ m1_subset_1(v18, v17) | v3_tops_1(v18, v15)))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | ? [v17] : (k1_zfmisc_1(v16) = v17 & ! [v18] : ( ~ v1_xboole_0(v18) | ~ m1_subset_1(v18, v17) | v3_tops_1(v18, v15)))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | ? [v17] : (k1_zfmisc_1(v16) = v17 & ! [v18] : ( ~ v1_xboole_0(v18) | ~ m1_subset_1(v18, v17) | v4_pre_topc(v18, v15)) & ! [v18] : ( ~ v1_xboole_0(v18) | ~ m1_subset_1(v18, v17) | v3_pre_topc(v18, v15)))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ? [v17] : ? [v18] : (k1_zfmisc_1(v16) = v17 & v2_tops_1(v18, v15) & v1_xboole_0(v18) & v5_membered(v18) & v4_membered(v18) & v3_membered(v18) & v2_membered(v18) & v1_membered(v18) & m1_subset_1(v18, v17))) & ! [v15] : ! [v16] : ( ~ (u1_struct_0(v15) = v16) | ~ l1_pre_topc(v15) | ? [v17] : (k1_zfmisc_1(v16) = v17 & ! [v18] : ( ~ v1_xboole_0(v18) | ~ m1_subset_1(v18, v17) | v2_tops_1(v18, v15)))) & ! [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] : (v1_xboole_0(v17) & m1_subset_1(v17, v16))) & ! [v15] : ! [v16] : ( ~ v1_tsep_1(v16, v15) | ~ v2_tex_2(v16, v15) | ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ v1_tsep_1(v16, v15) | ~ v2_tex_2(v16, v15) | ~ m1_pre_topc(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_pre_topc(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ v1_tsep_1(v16, v15) | ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_pre_topc(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ v1_xboole_0(v16) | ~ r2_hidden(v15, v16)) & ! [v15] : ! [v16] : ( ~ v5_membered(v15) | ~ m1_subset_1(v16, v15) | v4_ordinal2(v16)) & ! [v15] : ! [v16] : ( ~ v5_membered(v15) | ~ m1_subset_1(v16, v15) | v1_int_1(v16)) & ! [v15] : ! [v16] : ( ~ v5_membered(v15) | ~ m1_subset_1(v16, v15) | v1_rat_1(v16)) & ! [v15] : ! [v16] : ( ~ v5_membered(v15) | ~ m1_subset_1(v16, v15) | v1_xreal_0(v16)) & ! [v15] : ! [v16] : ( ~ v5_membered(v15) | ~ m1_subset_1(v16, v15) | v1_xcmplx_0(v16)) & ! [v15] : ! [v16] : ( ~ v4_membered(v15) | ~ m1_subset_1(v16, v15) | v1_int_1(v16)) & ! [v15] : ! [v16] : ( ~ v4_membered(v15) | ~ m1_subset_1(v16, v15) | v1_rat_1(v16)) & ! [v15] : ! [v16] : ( ~ v4_membered(v15) | ~ m1_subset_1(v16, v15) | v1_xreal_0(v16)) & ! [v15] : ! [v16] : ( ~ v4_membered(v15) | ~ m1_subset_1(v16, v15) | v1_xcmplx_0(v16)) & ! [v15] : ! [v16] : ( ~ v3_membered(v15) | ~ m1_subset_1(v16, v15) | v1_rat_1(v16)) & ! [v15] : ! [v16] : ( ~ v3_membered(v15) | ~ m1_subset_1(v16, v15) | v1_xreal_0(v16)) & ! [v15] : ! [v16] : ( ~ v3_membered(v15) | ~ m1_subset_1(v16, v15) | v1_xcmplx_0(v16)) & ! [v15] : ! [v16] : ( ~ v2_membered(v15) | ~ m1_subset_1(v16, v15) | v1_xreal_0(v16)) & ! [v15] : ! [v16] : ( ~ v2_membered(v15) | ~ m1_subset_1(v16, v15) | v1_xcmplx_0(v16)) & ! [v15] : ! [v16] : ( ~ v1_borsuk_1(v16, v15) | ~ v2_tex_2(v16, v15) | ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ v1_borsuk_1(v16, v15) | ~ v2_tex_2(v16, v15) | ~ m1_pre_topc(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_pre_topc(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ v1_borsuk_1(v16, v15) | ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_pre_topc(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ v2_tex_2(v16, v15) | ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_pre_topc(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ v3_realset2(v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_tex_2(v16, v15) | v2_t_0topsp(v15) | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ v2_t_0topsp(v16) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_tex_2(v16, v15) | v2_t_0topsp(v15) | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_t_0topsp(v16) | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v1_tex_3(v16, v15) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_pre_topc(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ v2_tsp_2(v16, v15) | ~ l1_pre_topc(v15) | v2_t_0topsp(v16) | v3_struct_0(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v1_tex_3(v16, v15) | v2_pre_topc(v16) | v3_struct_0(v15)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_pre_topc(v16)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ l1_pre_topc(v15) | m2_tsp_1(v16, v15)) & ! [v15] : ! [v16] : ( ~ m1_pre_topc(v16, v15) | ~ l1_pre_topc(v15) | l1_pre_topc(v16)) & ! [v15] : ! [v16] : ( ~ v1_membered(v15) | ~ m1_subset_1(v16, v15) | v1_xcmplx_0(v16)) & ! [v15] : ! [v16] : ( ~ r2_hidden(v16, v15) | ~ r2_hidden(v15, v16)) & ! [v15] : ! [v16] : ( ~ r2_hidden(v15, v16) | m1_subset_1(v15, v16)) & ! [v15] : ! [v16] : ( ~ m1_subset_1(v15, v16) | v1_xboole_0(v16) | r2_hidden(v15, v16)) & ! [v15] : ! [v16] : ( ~ m2_tsp_1(v16, v15) | ~ l1_pre_topc(v15) | m1_pre_topc(v16, v15)) & ! [v15] : ! [v16] : ( ~ m2_tsp_1(v16, v15) | ~ l1_pre_topc(v15) | l1_pre_topc(v16)) & ! [v15] : (v15 = k1_xboole_0 | ~ v1_xboole_0(v15)) & ! [v15] : ( ~ v1_xboole_0(v15) | v5_membered(v15)) & ! [v15] : ( ~ v1_xboole_0(v15) | v4_membered(v15)) & ! [v15] : ( ~ v1_xboole_0(v15) | v3_membered(v15)) & ! [v15] : ( ~ v1_xboole_0(v15) | v2_membered(v15)) & ! [v15] : ( ~ v1_xboole_0(v15) | v1_membered(v15)) & ! [v15] : ( ~ v5_membered(v15) | v4_membered(v15)) & ! [v15] : ( ~ v4_membered(v15) | v3_membered(v15)) & ! [v15] : ( ~ v3_membered(v15) | v2_membered(v15)) & ! [v15] : ( ~ v2_membered(v15) | v1_membered(v15)) & ! [v15] : ( ~ v3_tdlat_3(v15) | ~ v3_realset2(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v1_tdlat_3(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v3_tdlat_3(v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v5_tdlat_3(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v3_tdlat_3(v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v4_tdlat_3(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v3_tdlat_3(v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v1_tdlat_3(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v2_tdlat_3(v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v5_tdlat_3(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v2_tdlat_3(v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v4_tdlat_3(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v2_tdlat_3(v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_tdlat_3(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v2_tdlat_3(v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v3_realset2(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v2_tdlat_3(v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v1_tdlat_3(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v3_realset2(v15) | ~ v2_t_0topsp(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v1_tdlat_3(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v3_realset2(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_t_0topsp(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v3_realset2(v15) | ~ l1_pre_topc(v15) | v2_t_0topsp(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ v1_tdlat_3(v15) | ~ l1_pre_topc(v15) | ~ v2_pre_topc(v15) | v2_t_0topsp(v15) | v3_struct_0(v15)) & ! [v15] : ( ~ l1_pre_topc(v15) | l1_struct_0(v15)) & ! [v15] : ( ~ l1_pre_topc(v15) | ? [v16] : m1_pre_topc(v16, v15)) & ! [v15] : ( ~ l1_pre_topc(v15) | ? [v16] : m2_tsp_1(v16, v15)) & ? [v15] : ? [v16] : ? [v17] : m1_relset_1(v17, v15, v16) & ? [v15] : ? [v16] : ? [v17] : m2_relset_1(v17, v15, v16) & ? [v15] : ? [v16] : m1_subset_1(v16, v15) & ? [v15] : r1_tarski(v15, v15))
% 10.21/2.86 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14 yields:
% 10.21/2.86 | (1) ~ (all_0_4_4 = all_0_7_7) & k6_pre_topc(all_0_12_12, all_0_6_6) = all_0_5_5 & k6_pre_topc(all_0_14_14, all_0_8_8) = all_0_7_7 & k5_pre_topc(all_0_14_14, all_0_12_12, all_0_10_10, all_0_5_5) = all_0_4_4 & k1_struct_0(all_0_12_12, all_0_9_9) = all_0_6_6 & k1_struct_0(all_0_14_14, all_0_9_9) = all_0_8_8 & k1_tsp_2(all_0_14_14, all_0_12_12) = all_0_10_10 & u1_struct_0(all_0_12_12) = all_0_11_11 & u1_struct_0(all_0_14_14) = all_0_13_13 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_3_3) & v1_xboole_0(k1_xboole_0) & v5_membered(all_0_2_2) & v5_membered(k1_xboole_0) & v4_membered(all_0_2_2) & v4_membered(k1_xboole_0) & v3_membered(all_0_2_2) & v3_membered(k1_xboole_0) & v2_membered(all_0_2_2) & v2_membered(k1_xboole_0) & v1_membered(all_0_2_2) & v1_membered(k1_xboole_0) & m1_subset_1(all_0_9_9, all_0_11_11) & m1_subset_1(all_0_9_9, all_0_13_13) & m2_tsp_1(all_0_12_12, all_0_14_14) & v2_tsp_2(all_0_12_12, all_0_14_14) & l1_pre_topc(all_0_0_0) & l1_pre_topc(all_0_14_14) & v2_pre_topc(all_0_14_14) & ~ v1_xboole_0(all_0_2_2) & ~ v3_struct_0(all_0_3_3) & ~ v3_struct_0(all_0_12_12) & ~ v3_struct_0(all_0_14_14) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v7 | ~ (k6_pre_topc(v2, v8) = v9) | ~ (k6_pre_topc(v0, v6) = v7) | ~ (k5_pre_topc(v0, v2, v4, v9) = v10) | ~ (k1_struct_0(v2, v5) = v8) | ~ (k1_struct_0(v0, v5) = v6) | ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v3_borsuk_1(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v5_pre_topc(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ m1_subset_1(v5, v3) | ~ m1_subset_1(v5, v1) | ~ m2_tsp_1(v2, v0) | ~ v2_tsp_2(v2, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k10_relat_1(v2, v3) = v6) | ~ (u1_struct_0(v1) = v5) | ~ (u1_struct_0(v0) = v4) | ~ m1_relset_1(v2, v4, v5) | ~ l1_struct_0(v1) | ~ l1_struct_0(v0) | ~ v1_funct_2(v2, v4, v5) | ~ v1_funct_1(v2) | k5_pre_topc(v0, v1, v2, v3) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k5_pre_topc(v5, v4, v3, v2) = v1) | ~ (k5_pre_topc(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k5_pre_topc(v0, v1, v2, v3) = v4) | ~ l1_struct_0(v1) | ~ l1_struct_0(v0) | ~ v1_funct_1(v2) | ? [v5] : ? [v6] : ? [v7] : (k10_relat_1(v2, v3) = v7 & u1_struct_0(v1) = v6 & u1_struct_0(v0) = v5 & (v7 = v4 | ~ m1_relset_1(v2, v5, v6) | ~ v1_funct_2(v2, v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k5_pre_topc(v0, v1, v2, v3) = v4) | ~ l1_struct_0(v1) | ~ l1_struct_0(v0) | ~ v1_funct_1(v2) | ? [v5] : ? [v6] : ? [v7] : (u1_struct_0(v1) = v6 & u1_struct_0(v0) = v5 & k1_zfmisc_1(v5) = v7 & ( ~ m1_relset_1(v2, v5, v6) | ~ v1_funct_2(v2, v5, v6) | m1_subset_1(v4, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k10_relat_1(v3, v2) = v1) | ~ (k10_relat_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k6_pre_topc(v3, v2) = v1) | ~ (k6_pre_topc(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_struct_0(v3, v2) = v1) | ~ (k1_struct_0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_tsp_2(v3, v2) = v1) | ~ (k1_tsp_2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_tarski(v1) = v3) | ~ (u1_struct_0(v0) = v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v1, v2) | k1_struct_0(v0, v1) = v3 | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_tsp_2(v0, v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ m2_tsp_1(v2, v0) | ~ v2_tsp_2(v2, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v2) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v2) = v4 & ! [v5] : (v5 = v3 | ~ v3_borsuk_1(v5, v0, v2) | ~ m2_relset_1(v5, v1, v4) | ~ v5_pre_topc(v5, v0, v2) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5)) & ( ~ m2_relset_1(v3, v1, v4) | ~ v5_pre_topc(v3, v0, v2) | ~ v1_funct_2(v3, v1, v4) | ~ v1_funct_1(v3) | v3_borsuk_1(v3, v0, v2)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ m2_tsp_1(v2, v0) | ~ v2_tsp_2(v2, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v2) | v3_struct_0(v0) | ? [v4] : (k1_tsp_2(v0, v2) = v4 & ! [v5] : (v5 = v4 | ~ v3_borsuk_1(v5, v0, v2) | ~ m2_relset_1(v5, v1, v3) | ~ v5_pre_topc(v5, v0, v2) | ~ v1_funct_2(v5, v1, v3) | ~ v1_funct_1(v5)) & ( ~ m2_relset_1(v4, v1, v3) | ~ v5_pre_topc(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | v3_borsuk_1(v4, v0, v2)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v3) | ~ (u1_struct_0(v0) = v2) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v4] : (k1_tsp_2(v0, v1) = v4 & m2_relset_1(v4, v2, v3) & v5_pre_topc(v4, v0, v1) & v1_funct_2(v4, v2, v3) & v1_funct_1(v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) | ? [v4] : (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_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] : ( ~ (k6_pre_topc(v0, v1) = v2) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_pre_topc(v2, v0) | ? [v3] : ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v1, v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k6_pre_topc(v0, v1) = v2) | ~ l1_pre_topc(v0) | ? [v3] : ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ( ~ m1_subset_1(v1, v4) | m1_subset_1(v2, v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_struct_0(v0, v1) = v2) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v3] : ? [v4] : (k1_tarski(v1) = v4 & u1_struct_0(v0) = v3 & (v4 = v2 | ~ m1_subset_1(v1, v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_struct_0(v0, v1) = v2) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v3] : ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_tsp_2(v0, v1) = v2) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_pre_topc(v2, v0, v1) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_tsp_2(v0, v1) = v2) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_funct_1(v2) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_tsp_2(v0, v1) = v2) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v3] : ? [v4] : (u1_struct_0(v1) = v4 & u1_struct_0(v0) = v3 & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3, 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] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v5_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v4_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v3_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v2_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v1_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_int_1(v0) | v4_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_int_1(v0) | v3_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_int_1(v0) | v2_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_int_1(v0) | v1_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_rat_1(v0) | v3_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_rat_1(v0) | v2_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_rat_1(v0) | v1_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xreal_0(v0) | v2_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xreal_0(v0) | v1_membered(v1)) & ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xcmplx_0(v0) | v1_membered(v1)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_tops_1(v3, v0) & v2_tops_1(v3, v0) & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v5_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_membered(v3)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v2_tops_1(v3, v0) | ~ v4_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_pre_topc(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v2_tops_1(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1))) & ! [v0] : ! [v1] : ( ~ v1_tsep_1(v1, v0) | ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ v1_tsep_1(v1, v0) | ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ v1_tsep_1(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v4_ordinal2(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1)) & ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1)) & ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ v1_borsuk_1(v1, v0) | ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ v1_borsuk_1(v1, v0) | ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ v1_borsuk_1(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v3_realset2(v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_tex_2(v1, v0) | v2_t_0topsp(v0) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_t_0topsp(v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_tex_2(v1, v0) | v2_t_0topsp(v0) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_t_0topsp(v1) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tex_3(v1, v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | v2_t_0topsp(v1) | v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tex_3(v1, v0) | v2_pre_topc(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | m2_tsp_1(v1, v0)) & ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | l1_pre_topc(v1)) & ! [v0] : ! [v1] : ( ~ v1_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ m2_tsp_1(v1, v0) | ~ l1_pre_topc(v0) | m1_pre_topc(v1, v0)) & ! [v0] : ! [v1] : ( ~ m2_tsp_1(v1, v0) | ~ l1_pre_topc(v0) | l1_pre_topc(v1)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0)) & ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0)) & ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0)) & ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0)) & ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0)) & ! [v0] : ( ~ v3_tdlat_3(v0) | ~ v3_realset2(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tdlat_3(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v3_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_tdlat_3(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v3_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_tdlat_3(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v3_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tdlat_3(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_tdlat_3(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_tdlat_3(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_tdlat_3(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_realset2(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tdlat_3(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v3_realset2(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tdlat_3(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v3_realset2(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_t_0topsp(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v3_realset2(v0) | ~ l1_pre_topc(v0) | v2_t_0topsp(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ v1_tdlat_3(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_t_0topsp(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l1_pre_topc(v0) | l1_struct_0(v0)) & ! [v0] : ( ~ l1_pre_topc(v0) | ? [v1] : m1_pre_topc(v1, v0)) & ! [v0] : ( ~ l1_pre_topc(v0) | ? [v1] : m2_tsp_1(v1, v0)) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0)
% 10.21/2.89 |
% 10.21/2.89 | Applying alpha-rule on (1) yields:
% 10.21/2.89 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 10.21/2.89 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v7 | ~ (k6_pre_topc(v2, v8) = v9) | ~ (k6_pre_topc(v0, v6) = v7) | ~ (k5_pre_topc(v0, v2, v4, v9) = v10) | ~ (k1_struct_0(v2, v5) = v8) | ~ (k1_struct_0(v0, v5) = v6) | ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v3_borsuk_1(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v5_pre_topc(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ m1_subset_1(v5, v3) | ~ m1_subset_1(v5, v1) | ~ m2_tsp_1(v2, v0) | ~ v2_tsp_2(v2, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v2) | v3_struct_0(v0))
% 10.21/2.89 | (4) ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tdlat_3(v0) | v3_struct_0(v0))
% 10.21/2.89 | (5) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_t_0topsp(v1) | v3_struct_0(v1) | v3_struct_0(v0))
% 10.21/2.89 | (6) v2_membered(all_0_2_2)
% 10.21/2.89 | (7) v1_xboole_0(k1_xboole_0)
% 10.21/2.89 | (8) ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0))
% 10.21/2.89 | (9) k6_pre_topc(all_0_14_14, all_0_8_8) = all_0_7_7
% 10.21/2.89 | (10) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xcmplx_0(v0) | v1_membered(v1))
% 10.21/2.89 | (11) v2_membered(k1_xboole_0)
% 10.21/2.89 | (12) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v4_membered(v1))
% 10.21/2.89 | (13) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 10.21/2.89 | (14) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_pre_topc(v3, v0))))
% 10.21/2.89 | (15) ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_tdlat_3(v0) | v3_struct_0(v0))
% 10.21/2.89 | (16) ~ v3_struct_0(all_0_14_14)
% 10.21/2.89 | (17) k1_struct_0(all_0_14_14, all_0_9_9) = all_0_8_8
% 10.21/2.89 | (18) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | l1_pre_topc(v1))
% 10.21/2.89 | (19) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 10.21/2.89 | (20) ~ v1_xboole_0(all_0_2_2)
% 10.21/2.89 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3))
% 10.21/2.89 | (22) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v5_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v4_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v2_membered(v3)) & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ v3_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v1_membered(v3))))
% 10.61/2.89 | (23) l1_struct_0(all_0_3_3)
% 10.61/2.89 | (24) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 10.61/2.89 | (25) ! [v0] : ( ~ v3_realset2(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tdlat_3(v0) | v3_struct_0(v0))
% 10.61/2.89 | (26) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 10.61/2.89 | (27) ! [v0] : ! [v1] : ( ~ v1_borsuk_1(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0))
% 10.61/2.89 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_struct_0(v0, v1) = v2) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v3] : ? [v4] : (k1_tarski(v1) = v4 & u1_struct_0(v0) = v3 & (v4 = v2 | ~ m1_subset_1(v1, v3))))
% 10.61/2.89 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 10.61/2.89 | (30) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3)))
% 10.61/2.89 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4)))
% 10.61/2.90 | (32) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 10.61/2.90 | (33) ! [v0] : ! [v1] : ( ~ v1_borsuk_1(v1, v0) | ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0))
% 10.61/2.90 | (34) ~ (all_0_4_4 = all_0_7_7)
% 10.61/2.90 | (35) ? [v0] : r1_tarski(v0, v0)
% 10.61/2.90 | (36) ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0))
% 10.61/2.90 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_tarski(v1) = v3) | ~ (u1_struct_0(v0) = v2) | ~ l1_struct_0(v0) | ~ m1_subset_1(v1, v2) | k1_struct_0(v0, v1) = v3 | v3_struct_0(v0))
% 10.61/2.90 | (38) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 10.61/2.90 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 10.61/2.90 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k5_pre_topc(v0, v1, v2, v3) = v4) | ~ l1_struct_0(v1) | ~ l1_struct_0(v0) | ~ v1_funct_1(v2) | ? [v5] : ? [v6] : ? [v7] : (u1_struct_0(v1) = v6 & u1_struct_0(v0) = v5 & k1_zfmisc_1(v5) = v7 & ( ~ m1_relset_1(v2, v5, v6) | ~ v1_funct_2(v2, v5, v6) | m1_subset_1(v4, v7))))
% 10.61/2.90 | (41) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v2_membered(v1))
% 10.61/2.90 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 10.61/2.90 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 10.61/2.90 | (44) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1))
% 10.61/2.90 | (45) v2_tsp_2(all_0_12_12, all_0_14_14)
% 10.61/2.90 | (46) ! [v0] : ( ~ v1_tdlat_3(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_t_0topsp(v0) | v3_struct_0(v0))
% 10.61/2.90 | (47) k6_pre_topc(all_0_12_12, all_0_6_6) = all_0_5_5
% 10.61/2.90 | (48) ! [v0] : ! [v1] : ( ~ v1_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 10.61/2.90 | (49) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v2_tops_1(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2)))
% 10.61/2.90 | (50) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 10.61/2.90 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 10.61/2.90 | (52) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) | ? [v4] : (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4)))
% 10.61/2.90 | (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)))
% 10.61/2.90 | (54) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_tops_1(v3, v0) & v2_tops_1(v3, v0) & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2)))
% 10.61/2.90 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k5_pre_topc(v0, v1, v2, v3) = v4) | ~ l1_struct_0(v1) | ~ l1_struct_0(v0) | ~ v1_funct_1(v2) | ? [v5] : ? [v6] : ? [v7] : (k10_relat_1(v2, v3) = v7 & u1_struct_0(v1) = v6 & u1_struct_0(v0) = v5 & (v7 = v4 | ~ m1_relset_1(v2, v5, v6) | ~ v1_funct_2(v2, v5, v6))))
% 10.61/2.90 | (56) ! [v0] : ( ~ v3_tdlat_3(v0) | ~ v3_realset2(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tdlat_3(v0) | v3_struct_0(v0))
% 10.61/2.90 | (57) u1_struct_0(all_0_12_12) = all_0_11_11
% 10.61/2.90 | (58) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_int_1(v0) | v2_membered(v1))
% 10.61/2.90 | (59) ! [v0] : ( ~ v3_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_tdlat_3(v0) | v3_struct_0(v0))
% 10.61/2.90 | (60) ! [v0] : ! [v1] : ( ~ m2_tsp_1(v1, v0) | ~ l1_pre_topc(v0) | m1_pre_topc(v1, v0))
% 10.61/2.90 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 10.61/2.90 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 10.61/2.90 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2))
% 10.61/2.90 | (64) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0))))
% 10.61/2.90 | (65) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xreal_0(v0) | v2_membered(v1))
% 10.61/2.90 | (66) ! [v0] : ( ~ l1_pre_topc(v0) | ? [v1] : m1_pre_topc(v1, v0))
% 10.61/2.90 | (67) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v3_membered(v1))
% 10.61/2.90 | (68) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | m2_tsp_1(v1, v0))
% 10.61/2.90 | (69) ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0))
% 10.61/2.90 | (70) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 10.61/2.90 | (71) ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0))
% 10.61/2.90 | (72) v2_pre_topc(all_0_14_14)
% 10.61/2.90 | (73) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 10.61/2.90 | (74) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 10.61/2.90 | (75) ! [v0] : ( ~ l1_pre_topc(v0) | l1_struct_0(v0))
% 10.61/2.90 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (k5_pre_topc(v5, v4, v3, v2) = v1) | ~ (k5_pre_topc(v5, v4, v3, v2) = v0))
% 10.61/2.90 | (77) ~ v3_struct_0(all_0_12_12)
% 10.61/2.90 | (78) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_tsp_2(v0, v1) = v2) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v3] : ? [v4] : (u1_struct_0(v1) = v4 & u1_struct_0(v0) = v3 & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3, v4)))
% 10.61/2.90 | (79) ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_tdlat_3(v0) | v3_struct_0(v0))
% 10.61/2.90 | (80) l1_struct_0(all_0_1_1)
% 10.61/2.90 | (81) ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_realset2(v0) | v3_struct_0(v0))
% 10.61/2.90 | (82) ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0))
% 10.61/2.90 | (83) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | v2_t_0topsp(v1) | v3_struct_0(v1) | v3_struct_0(v0))
% 10.61/2.90 | (84) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_int_1(v0) | v1_membered(v1))
% 10.61/2.90 | (85) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0))))
% 10.61/2.91 | (86) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 10.61/2.91 | (87) l1_pre_topc(all_0_14_14)
% 10.61/2.91 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_tarski(v2) = v1) | ~ (k1_tarski(v2) = v0))
% 10.61/2.91 | (89) ! [v0] : ! [v1] : ( ~ m2_tsp_1(v1, v0) | ~ l1_pre_topc(v0) | l1_pre_topc(v1))
% 10.61/2.91 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k10_relat_1(v2, v3) = v6) | ~ (u1_struct_0(v1) = v5) | ~ (u1_struct_0(v0) = v4) | ~ m1_relset_1(v2, v4, v5) | ~ l1_struct_0(v1) | ~ l1_struct_0(v0) | ~ v1_funct_2(v2, v4, v5) | ~ v1_funct_1(v2) | k5_pre_topc(v0, v1, v2, v3) = v6)
% 10.61/2.91 | (91) ! [v0] : ( ~ v2_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_tdlat_3(v0) | v3_struct_0(v0))
% 10.61/2.91 | (92) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tex_3(v1, v0) | v3_struct_0(v0))
% 10.61/2.91 | (93) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v1_membered(v1))
% 10.61/2.91 | (94) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 10.61/2.91 | (95) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v4_ordinal2(v0) | v5_membered(v1))
% 10.61/2.91 | (96) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xboole_0(v1))
% 10.61/2.91 | (97) k1_struct_0(all_0_12_12, all_0_9_9) = all_0_6_6
% 10.61/2.91 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_tsp_2(v0, v1) = v2) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_funct_1(v2) | v3_struct_0(v1) | v3_struct_0(v0))
% 10.61/2.91 | (99) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 10.61/2.91 | (100) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 10.61/2.91 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_tsp_2(v3, v2) = v1) | ~ (k1_tsp_2(v3, v2) = v0))
% 10.61/2.91 | (102) v3_membered(all_0_2_2)
% 10.61/2.91 | (103) v5_membered(k1_xboole_0)
% 10.61/2.91 | (104) k5_pre_topc(all_0_14_14, all_0_12_12, all_0_10_10, all_0_5_5) = all_0_4_4
% 10.61/2.91 | (105) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 10.61/2.91 | (106) v1_membered(all_0_2_2)
% 10.61/2.91 | (107) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 10.61/2.91 | (108) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_rat_1(v0) | v2_membered(v1))
% 10.61/2.91 | (109) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tex_3(v1, v0) | v2_pre_topc(v1) | v3_struct_0(v0))
% 10.61/2.91 | (110) u1_struct_0(all_0_14_14) = all_0_13_13
% 10.61/2.91 | (111) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 10.61/2.91 | (112) v4_membered(all_0_2_2)
% 10.61/2.91 | (113) m2_tsp_1(all_0_12_12, all_0_14_14)
% 10.61/2.91 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ m2_tsp_1(v2, v0) | ~ v2_tsp_2(v2, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v2) | v3_struct_0(v0) | ? [v4] : (k1_tsp_2(v0, v2) = v4 & ! [v5] : (v5 = v4 | ~ v3_borsuk_1(v5, v0, v2) | ~ m2_relset_1(v5, v1, v3) | ~ v5_pre_topc(v5, v0, v2) | ~ v1_funct_2(v5, v1, v3) | ~ v1_funct_1(v5)) & ( ~ m2_relset_1(v4, v1, v3) | ~ v5_pre_topc(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | v3_borsuk_1(v4, v0, v2))))
% 10.61/2.91 | (115) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0))
% 10.61/2.91 | (116) ! [v0] : ( ~ v3_realset2(v0) | ~ l1_pre_topc(v0) | v2_t_0topsp(v0) | v3_struct_0(v0))
% 10.61/2.91 | (117) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 10.61/2.91 | (118) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 10.61/2.91 | (119) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 10.61/2.91 | (120) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v4_ordinal2(v1))
% 10.61/2.91 | (121) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 10.61/2.91 | (122) k1_tsp_2(all_0_14_14, all_0_12_12) = all_0_10_10
% 10.61/2.91 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 10.61/2.91 | (124) ! [v0] : ! [v1] : ! [v2] : ( ~ (k6_pre_topc(v0, v1) = v2) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_pre_topc(v2, v0) | ? [v3] : ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v1, v4)))
% 10.61/2.91 | (125) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v3_realset2(v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_tex_2(v1, v0) | v2_t_0topsp(v0) | v3_struct_0(v1) | v3_struct_0(v0))
% 10.61/2.91 | (126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k10_relat_1(v3, v2) = v1) | ~ (k10_relat_1(v3, v2) = v0))
% 10.61/2.91 | (127) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 10.61/2.91 | (128) m1_subset_1(all_0_9_9, all_0_11_11)
% 10.61/2.91 | (129) ! [v0] : ( ~ v3_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v1_tdlat_3(v0) | v3_struct_0(v0))
% 10.61/2.91 | (130) ! [v0] : ( ~ v3_tdlat_3(v0) | ~ v2_t_0topsp(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v4_tdlat_3(v0) | v3_struct_0(v0))
% 10.61/2.91 | (131) v3_membered(k1_xboole_0)
% 10.61/2.91 | (132) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 10.61/2.91 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 10.61/2.91 | (134) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0))))
% 10.61/2.91 | (135) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 10.61/2.91 | (136) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 10.61/2.91 | (137) l1_pre_topc(all_0_0_0)
% 10.61/2.91 | (138) ! [v0] : ! [v1] : ( ~ v1_tsep_1(v1, v0) | ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0))
% 10.61/2.91 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_struct_0(v3, v2) = v1) | ~ (k1_struct_0(v3, v2) = v0))
% 10.61/2.91 | (140) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_struct_0(v0, v1) = v2) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v3] : ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ( ~ m1_subset_1(v1, v3) | m1_subset_1(v2, v4))))
% 10.61/2.91 | (141) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 10.61/2.92 | (142) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 10.61/2.92 | (143) ! [v0] : ! [v1] : ( ~ v1_borsuk_1(v1, v0) | ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0))
% 10.61/2.92 | (144) ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0))
% 10.61/2.92 | (145) ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0))
% 10.61/2.92 | (146) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_rat_1(v0) | v3_membered(v1))
% 10.61/2.92 | (147) ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0))
% 10.61/2.92 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 10.61/2.92 | (149) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 10.61/2.92 | (150) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 10.61/2.92 | (151) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 10.61/2.92 | (152) ! [v0] : ! [v1] : ( ~ v1_tsep_1(v1, v0) | ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0))
% 10.61/2.92 | (153) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_xreal_0(v0) | v1_membered(v1))
% 10.61/2.92 | (154) ! [v0] : ! [v1] : ! [v2] : ( ~ (k6_pre_topc(v0, v1) = v2) | ~ l1_pre_topc(v0) | ? [v3] : ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ( ~ m1_subset_1(v1, v4) | m1_subset_1(v2, v4))))
% 10.61/2.92 | (155) ! [v0] : ( ~ l1_pre_topc(v0) | ? [v1] : m2_tsp_1(v1, v0))
% 10.61/2.92 | (156) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_int_1(v0) | v3_membered(v1))
% 10.61/2.92 | (157) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_tsp_2(v0, v1) = v2) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v5_pre_topc(v2, v0, v1) | v3_struct_0(v1) | v3_struct_0(v0))
% 10.61/2.92 | (158) v5_membered(all_0_2_2)
% 10.61/2.92 | (159) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 10.61/2.92 | (160) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v2_tops_1(v3, v0) | ~ v4_pre_topc(v3, v0) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0))))
% 10.61/2.92 | (161) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 10.61/2.92 | (162) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 10.61/2.92 | (163) m1_subset_1(all_0_9_9, all_0_13_13)
% 10.61/2.92 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_tsp_2(v0, v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ m2_tsp_1(v2, v0) | ~ v2_tsp_2(v2, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v2) | v3_struct_0(v0) | ? [v4] : (u1_struct_0(v2) = v4 & ! [v5] : (v5 = v3 | ~ v3_borsuk_1(v5, v0, v2) | ~ m2_relset_1(v5, v1, v4) | ~ v5_pre_topc(v5, v0, v2) | ~ v1_funct_2(v5, v1, v4) | ~ v1_funct_1(v5)) & ( ~ m2_relset_1(v3, v1, v4) | ~ v5_pre_topc(v3, v0, v2) | ~ v1_funct_2(v3, v1, v4) | ~ v1_funct_1(v3) | v3_borsuk_1(v3, v0, v2))))
% 10.61/2.92 | (165) ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0))
% 10.61/2.92 | (166) v1_membered(k1_xboole_0)
% 10.61/2.92 | (167) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3)))
% 10.61/2.92 | (168) ! [v0] : ( ~ v3_realset2(v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_t_0topsp(v0) | v3_struct_0(v0))
% 10.61/2.92 | (169) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_int_1(v0) | v4_membered(v1))
% 10.61/2.92 | (170) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 10.61/2.92 | (171) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 10.61/2.92 | (172) ! [v0] : ! [v1] : ( ~ v1_tsep_1(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0))
% 10.61/2.92 | (173) ! [v0] : ! [v1] : ( ~ (k1_tarski(v0) = v1) | ~ v1_rat_1(v0) | v1_membered(v1))
% 10.61/2.92 | (174) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 10.61/2.92 | (175) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 10.61/2.92 | (176) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 10.61/2.92 | (177) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v4_pre_topc(v3, v0) & v3_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 10.61/2.92 | (178) v4_membered(k1_xboole_0)
% 10.61/2.92 | (179) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 10.61/2.92 | (180) ~ v3_struct_0(all_0_3_3)
% 10.61/2.92 | (181) ! [v0] : ! [v1] : ( ~ m1_pre_topc(v1, v0) | ~ v2_t_0topsp(v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_tex_2(v1, v0) | v2_t_0topsp(v0) | v3_struct_0(v1) | v3_struct_0(v0))
% 10.61/2.92 | (182) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v3) | ~ (u1_struct_0(v0) = v2) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v4] : (k1_tsp_2(v0, v1) = v4 & m2_relset_1(v4, v2, v3) & v5_pre_topc(v4, v0, v1) & v1_funct_2(v4, v2, v3) & v1_funct_1(v4)))
% 10.61/2.92 | (183) ! [v0] : ! [v1] : ( ~ v2_tex_2(v1, v0) | ~ m1_pre_topc(v1, v0) | ~ v2_tsp_2(v1, v0) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v2_pre_topc(v1) | v3_struct_0(v0))
% 10.61/2.92 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k6_pre_topc(v3, v2) = v1) | ~ (k6_pre_topc(v3, v2) = v0))
% 10.61/2.92 | (185) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 10.61/2.92 |
% 10.61/2.92 | Instantiating formula (154) with all_0_7_7, all_0_8_8, all_0_14_14 and discharging atoms k6_pre_topc(all_0_14_14, all_0_8_8) = all_0_7_7, l1_pre_topc(all_0_14_14), yields:
% 10.61/2.92 | (186) ? [v0] : ? [v1] : (u1_struct_0(all_0_14_14) = v0 & k1_zfmisc_1(v0) = v1 & ( ~ m1_subset_1(all_0_8_8, v1) | m1_subset_1(all_0_7_7, v1)))
% 10.61/2.92 |
% 10.61/2.92 | Instantiating formula (60) with all_0_12_12, all_0_14_14 and discharging atoms m2_tsp_1(all_0_12_12, all_0_14_14), l1_pre_topc(all_0_14_14), yields:
% 10.61/2.92 | (187) m1_pre_topc(all_0_12_12, all_0_14_14)
% 10.61/2.92 |
% 10.61/2.92 | Instantiating formula (89) with all_0_12_12, all_0_14_14 and discharging atoms m2_tsp_1(all_0_12_12, all_0_14_14), l1_pre_topc(all_0_14_14), yields:
% 10.61/2.92 | (188) l1_pre_topc(all_0_12_12)
% 10.61/2.92 |
% 10.61/2.92 | Instantiating formula (75) with all_0_14_14 and discharging atoms l1_pre_topc(all_0_14_14), yields:
% 10.61/2.92 | (189) l1_struct_0(all_0_14_14)
% 10.61/2.92 |
% 10.61/2.92 | Instantiating formula (164) with all_0_10_10, all_0_12_12, all_0_13_13, all_0_14_14 and discharging atoms k1_tsp_2(all_0_14_14, all_0_12_12) = all_0_10_10, u1_struct_0(all_0_14_14) = all_0_13_13, m2_tsp_1(all_0_12_12, all_0_14_14), v2_tsp_2(all_0_12_12, all_0_14_14), l1_pre_topc(all_0_14_14), v2_pre_topc(all_0_14_14), ~ v3_struct_0(all_0_12_12), ~ v3_struct_0(all_0_14_14), yields:
% 10.61/2.92 | (190) ? [v0] : (u1_struct_0(all_0_12_12) = v0 & ! [v1] : (v1 = all_0_10_10 | ~ v3_borsuk_1(v1, all_0_14_14, all_0_12_12) | ~ m2_relset_1(v1, all_0_13_13, v0) | ~ v5_pre_topc(v1, all_0_14_14, all_0_12_12) | ~ v1_funct_2(v1, all_0_13_13, v0) | ~ v1_funct_1(v1)) & ( ~ m2_relset_1(all_0_10_10, all_0_13_13, v0) | ~ v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12) | ~ v1_funct_2(all_0_10_10, all_0_13_13, v0) | ~ v1_funct_1(all_0_10_10) | v3_borsuk_1(all_0_10_10, all_0_14_14, all_0_12_12)))
% 10.61/2.92 |
% 10.61/2.92 | Instantiating formula (114) with all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14 and discharging atoms u1_struct_0(all_0_12_12) = all_0_11_11, u1_struct_0(all_0_14_14) = all_0_13_13, m2_tsp_1(all_0_12_12, all_0_14_14), v2_tsp_2(all_0_12_12, all_0_14_14), l1_pre_topc(all_0_14_14), v2_pre_topc(all_0_14_14), ~ v3_struct_0(all_0_12_12), ~ v3_struct_0(all_0_14_14), yields:
% 10.61/2.92 | (191) ? [v0] : (k1_tsp_2(all_0_14_14, all_0_12_12) = v0 & ! [v1] : (v1 = v0 | ~ v3_borsuk_1(v1, all_0_14_14, all_0_12_12) | ~ m2_relset_1(v1, all_0_13_13, all_0_11_11) | ~ v5_pre_topc(v1, all_0_14_14, all_0_12_12) | ~ v1_funct_2(v1, all_0_13_13, all_0_11_11) | ~ v1_funct_1(v1)) & ( ~ m2_relset_1(v0, all_0_13_13, all_0_11_11) | ~ v5_pre_topc(v0, all_0_14_14, all_0_12_12) | ~ v1_funct_2(v0, all_0_13_13, all_0_11_11) | ~ v1_funct_1(v0) | v3_borsuk_1(v0, all_0_14_14, all_0_12_12)))
% 10.61/2.93 |
% 10.61/2.93 | Instantiating (186) with all_30_0_31, all_30_1_32 yields:
% 10.61/2.93 | (192) u1_struct_0(all_0_14_14) = all_30_1_32 & k1_zfmisc_1(all_30_1_32) = all_30_0_31 & ( ~ m1_subset_1(all_0_8_8, all_30_0_31) | m1_subset_1(all_0_7_7, all_30_0_31))
% 10.61/2.93 |
% 10.61/2.93 | Applying alpha-rule on (192) yields:
% 10.61/2.93 | (193) u1_struct_0(all_0_14_14) = all_30_1_32
% 10.61/2.93 | (194) k1_zfmisc_1(all_30_1_32) = all_30_0_31
% 10.61/2.93 | (195) ~ m1_subset_1(all_0_8_8, all_30_0_31) | m1_subset_1(all_0_7_7, all_30_0_31)
% 10.61/2.93 |
% 10.61/2.93 | Instantiating (190) with all_44_0_41 yields:
% 10.61/2.93 | (196) u1_struct_0(all_0_12_12) = all_44_0_41 & ! [v0] : (v0 = all_0_10_10 | ~ v3_borsuk_1(v0, all_0_14_14, all_0_12_12) | ~ m2_relset_1(v0, all_0_13_13, all_44_0_41) | ~ v5_pre_topc(v0, all_0_14_14, all_0_12_12) | ~ v1_funct_2(v0, all_0_13_13, all_44_0_41) | ~ v1_funct_1(v0)) & ( ~ m2_relset_1(all_0_10_10, all_0_13_13, all_44_0_41) | ~ v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12) | ~ v1_funct_2(all_0_10_10, all_0_13_13, all_44_0_41) | ~ v1_funct_1(all_0_10_10) | v3_borsuk_1(all_0_10_10, all_0_14_14, all_0_12_12))
% 10.61/2.93 |
% 10.61/2.93 | Applying alpha-rule on (196) yields:
% 10.61/2.93 | (197) u1_struct_0(all_0_12_12) = all_44_0_41
% 10.61/2.93 | (198) ! [v0] : (v0 = all_0_10_10 | ~ v3_borsuk_1(v0, all_0_14_14, all_0_12_12) | ~ m2_relset_1(v0, all_0_13_13, all_44_0_41) | ~ v5_pre_topc(v0, all_0_14_14, all_0_12_12) | ~ v1_funct_2(v0, all_0_13_13, all_44_0_41) | ~ v1_funct_1(v0))
% 10.61/2.93 | (199) ~ m2_relset_1(all_0_10_10, all_0_13_13, all_44_0_41) | ~ v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12) | ~ v1_funct_2(all_0_10_10, all_0_13_13, all_44_0_41) | ~ v1_funct_1(all_0_10_10) | v3_borsuk_1(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.93 |
% 10.61/2.93 | Instantiating (191) with all_47_0_42 yields:
% 10.61/2.93 | (200) k1_tsp_2(all_0_14_14, all_0_12_12) = all_47_0_42 & ! [v0] : (v0 = all_47_0_42 | ~ v3_borsuk_1(v0, all_0_14_14, all_0_12_12) | ~ m2_relset_1(v0, all_0_13_13, all_0_11_11) | ~ v5_pre_topc(v0, all_0_14_14, all_0_12_12) | ~ v1_funct_2(v0, all_0_13_13, all_0_11_11) | ~ v1_funct_1(v0)) & ( ~ m2_relset_1(all_47_0_42, all_0_13_13, all_0_11_11) | ~ v5_pre_topc(all_47_0_42, all_0_14_14, all_0_12_12) | ~ v1_funct_2(all_47_0_42, all_0_13_13, all_0_11_11) | ~ v1_funct_1(all_47_0_42) | v3_borsuk_1(all_47_0_42, all_0_14_14, all_0_12_12))
% 10.61/2.93 |
% 10.61/2.93 | Applying alpha-rule on (200) yields:
% 10.61/2.93 | (201) k1_tsp_2(all_0_14_14, all_0_12_12) = all_47_0_42
% 10.61/2.93 | (202) ! [v0] : (v0 = all_47_0_42 | ~ v3_borsuk_1(v0, all_0_14_14, all_0_12_12) | ~ m2_relset_1(v0, all_0_13_13, all_0_11_11) | ~ v5_pre_topc(v0, all_0_14_14, all_0_12_12) | ~ v1_funct_2(v0, all_0_13_13, all_0_11_11) | ~ v1_funct_1(v0))
% 10.61/2.93 | (203) ~ m2_relset_1(all_47_0_42, all_0_13_13, all_0_11_11) | ~ v5_pre_topc(all_47_0_42, all_0_14_14, all_0_12_12) | ~ v1_funct_2(all_47_0_42, all_0_13_13, all_0_11_11) | ~ v1_funct_1(all_47_0_42) | v3_borsuk_1(all_47_0_42, all_0_14_14, all_0_12_12)
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (101) with all_0_14_14, all_0_12_12, all_47_0_42, all_0_10_10 and discharging atoms k1_tsp_2(all_0_14_14, all_0_12_12) = all_47_0_42, k1_tsp_2(all_0_14_14, all_0_12_12) = all_0_10_10, yields:
% 10.61/2.93 | (204) all_47_0_42 = all_0_10_10
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (141) with all_0_12_12, all_44_0_41, all_0_11_11 and discharging atoms u1_struct_0(all_0_12_12) = all_44_0_41, u1_struct_0(all_0_12_12) = all_0_11_11, yields:
% 10.61/2.93 | (205) all_44_0_41 = all_0_11_11
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (141) with all_0_14_14, all_30_1_32, all_0_13_13 and discharging atoms u1_struct_0(all_0_14_14) = all_30_1_32, u1_struct_0(all_0_14_14) = all_0_13_13, yields:
% 10.61/2.93 | (206) all_30_1_32 = all_0_13_13
% 10.61/2.93 |
% 10.61/2.93 | From (204) and (201) follows:
% 10.61/2.93 | (122) k1_tsp_2(all_0_14_14, all_0_12_12) = all_0_10_10
% 10.61/2.93 |
% 10.61/2.93 | From (205) and (197) follows:
% 10.61/2.93 | (57) u1_struct_0(all_0_12_12) = all_0_11_11
% 10.61/2.93 |
% 10.61/2.93 | From (206) and (193) follows:
% 10.61/2.93 | (110) u1_struct_0(all_0_14_14) = all_0_13_13
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (28) with all_0_8_8, all_0_9_9, all_0_14_14 and discharging atoms k1_struct_0(all_0_14_14, all_0_9_9) = all_0_8_8, l1_struct_0(all_0_14_14), ~ v3_struct_0(all_0_14_14), yields:
% 10.61/2.93 | (210) ? [v0] : ? [v1] : (k1_tarski(all_0_9_9) = v1 & u1_struct_0(all_0_14_14) = v0 & (v1 = all_0_8_8 | ~ m1_subset_1(all_0_9_9, v0)))
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (140) with all_0_8_8, all_0_9_9, all_0_14_14 and discharging atoms k1_struct_0(all_0_14_14, all_0_9_9) = all_0_8_8, l1_struct_0(all_0_14_14), ~ v3_struct_0(all_0_14_14), yields:
% 10.61/2.93 | (211) ? [v0] : ? [v1] : (u1_struct_0(all_0_14_14) = v0 & k1_zfmisc_1(v0) = v1 & ( ~ m1_subset_1(all_0_9_9, v0) | m1_subset_1(all_0_8_8, v1)))
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (182) with all_0_11_11, all_0_13_13, all_0_12_12, all_0_14_14 and discharging atoms u1_struct_0(all_0_12_12) = all_0_11_11, u1_struct_0(all_0_14_14) = all_0_13_13, m1_pre_topc(all_0_12_12, all_0_14_14), v2_tsp_2(all_0_12_12, all_0_14_14), l1_pre_topc(all_0_14_14), v2_pre_topc(all_0_14_14), ~ v3_struct_0(all_0_12_12), ~ v3_struct_0(all_0_14_14), yields:
% 10.61/2.93 | (212) ? [v0] : (k1_tsp_2(all_0_14_14, all_0_12_12) = v0 & m2_relset_1(v0, all_0_13_13, all_0_11_11) & v5_pre_topc(v0, all_0_14_14, all_0_12_12) & v1_funct_2(v0, all_0_13_13, all_0_11_11) & v1_funct_1(v0))
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (78) with all_0_10_10, all_0_12_12, all_0_14_14 and discharging atoms k1_tsp_2(all_0_14_14, all_0_12_12) = all_0_10_10, m1_pre_topc(all_0_12_12, all_0_14_14), v2_tsp_2(all_0_12_12, all_0_14_14), l1_pre_topc(all_0_14_14), v2_pre_topc(all_0_14_14), ~ v3_struct_0(all_0_12_12), ~ v3_struct_0(all_0_14_14), yields:
% 10.61/2.93 | (213) ? [v0] : ? [v1] : (u1_struct_0(all_0_12_12) = v1 & u1_struct_0(all_0_14_14) = v0 & m2_relset_1(all_0_10_10, v0, v1) & v1_funct_2(all_0_10_10, v0, v1))
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (154) with all_0_5_5, all_0_6_6, all_0_12_12 and discharging atoms k6_pre_topc(all_0_12_12, all_0_6_6) = all_0_5_5, l1_pre_topc(all_0_12_12), yields:
% 10.61/2.93 | (214) ? [v0] : ? [v1] : (u1_struct_0(all_0_12_12) = v0 & k1_zfmisc_1(v0) = v1 & ( ~ m1_subset_1(all_0_6_6, v1) | m1_subset_1(all_0_5_5, v1)))
% 10.61/2.93 |
% 10.61/2.93 | Instantiating (213) with all_86_0_56, all_86_1_57 yields:
% 10.61/2.93 | (215) u1_struct_0(all_0_12_12) = all_86_0_56 & u1_struct_0(all_0_14_14) = all_86_1_57 & m2_relset_1(all_0_10_10, all_86_1_57, all_86_0_56) & v1_funct_2(all_0_10_10, all_86_1_57, all_86_0_56)
% 10.61/2.93 |
% 10.61/2.93 | Applying alpha-rule on (215) yields:
% 10.61/2.93 | (216) u1_struct_0(all_0_12_12) = all_86_0_56
% 10.61/2.93 | (217) u1_struct_0(all_0_14_14) = all_86_1_57
% 10.61/2.93 | (218) m2_relset_1(all_0_10_10, all_86_1_57, all_86_0_56)
% 10.61/2.93 | (219) v1_funct_2(all_0_10_10, all_86_1_57, all_86_0_56)
% 10.61/2.93 |
% 10.61/2.93 | Instantiating (212) with all_90_0_59 yields:
% 10.61/2.93 | (220) k1_tsp_2(all_0_14_14, all_0_12_12) = all_90_0_59 & m2_relset_1(all_90_0_59, all_0_13_13, all_0_11_11) & v5_pre_topc(all_90_0_59, all_0_14_14, all_0_12_12) & v1_funct_2(all_90_0_59, all_0_13_13, all_0_11_11) & v1_funct_1(all_90_0_59)
% 10.61/2.93 |
% 10.61/2.93 | Applying alpha-rule on (220) yields:
% 10.61/2.93 | (221) v5_pre_topc(all_90_0_59, all_0_14_14, all_0_12_12)
% 10.61/2.93 | (222) k1_tsp_2(all_0_14_14, all_0_12_12) = all_90_0_59
% 10.61/2.93 | (223) v1_funct_1(all_90_0_59)
% 10.61/2.93 | (224) m2_relset_1(all_90_0_59, all_0_13_13, all_0_11_11)
% 10.61/2.93 | (225) v1_funct_2(all_90_0_59, all_0_13_13, all_0_11_11)
% 10.61/2.93 |
% 10.61/2.93 | Instantiating (214) with all_96_0_63, all_96_1_64 yields:
% 10.61/2.93 | (226) u1_struct_0(all_0_12_12) = all_96_1_64 & k1_zfmisc_1(all_96_1_64) = all_96_0_63 & ( ~ m1_subset_1(all_0_6_6, all_96_0_63) | m1_subset_1(all_0_5_5, all_96_0_63))
% 10.61/2.93 |
% 10.61/2.93 | Applying alpha-rule on (226) yields:
% 10.61/2.93 | (227) u1_struct_0(all_0_12_12) = all_96_1_64
% 10.61/2.93 | (228) k1_zfmisc_1(all_96_1_64) = all_96_0_63
% 10.61/2.93 | (229) ~ m1_subset_1(all_0_6_6, all_96_0_63) | m1_subset_1(all_0_5_5, all_96_0_63)
% 10.61/2.93 |
% 10.61/2.93 | Instantiating (211) with all_98_0_65, all_98_1_66 yields:
% 10.61/2.93 | (230) u1_struct_0(all_0_14_14) = all_98_1_66 & k1_zfmisc_1(all_98_1_66) = all_98_0_65 & ( ~ m1_subset_1(all_0_9_9, all_98_1_66) | m1_subset_1(all_0_8_8, all_98_0_65))
% 10.61/2.93 |
% 10.61/2.93 | Applying alpha-rule on (230) yields:
% 10.61/2.93 | (231) u1_struct_0(all_0_14_14) = all_98_1_66
% 10.61/2.93 | (232) k1_zfmisc_1(all_98_1_66) = all_98_0_65
% 10.61/2.93 | (233) ~ m1_subset_1(all_0_9_9, all_98_1_66) | m1_subset_1(all_0_8_8, all_98_0_65)
% 10.61/2.93 |
% 10.61/2.93 | Instantiating (210) with all_102_0_68, all_102_1_69 yields:
% 10.61/2.93 | (234) k1_tarski(all_0_9_9) = all_102_0_68 & u1_struct_0(all_0_14_14) = all_102_1_69 & (all_102_0_68 = all_0_8_8 | ~ m1_subset_1(all_0_9_9, all_102_1_69))
% 10.61/2.93 |
% 10.61/2.93 | Applying alpha-rule on (234) yields:
% 10.61/2.93 | (235) k1_tarski(all_0_9_9) = all_102_0_68
% 10.61/2.93 | (236) u1_struct_0(all_0_14_14) = all_102_1_69
% 10.61/2.93 | (237) all_102_0_68 = all_0_8_8 | ~ m1_subset_1(all_0_9_9, all_102_1_69)
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (101) with all_0_14_14, all_0_12_12, all_90_0_59, all_0_10_10 and discharging atoms k1_tsp_2(all_0_14_14, all_0_12_12) = all_90_0_59, k1_tsp_2(all_0_14_14, all_0_12_12) = all_0_10_10, yields:
% 10.61/2.93 | (238) all_90_0_59 = all_0_10_10
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (141) with all_0_12_12, all_96_1_64, all_0_11_11 and discharging atoms u1_struct_0(all_0_12_12) = all_96_1_64, u1_struct_0(all_0_12_12) = all_0_11_11, yields:
% 10.61/2.93 | (239) all_96_1_64 = all_0_11_11
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (141) with all_0_12_12, all_86_0_56, all_96_1_64 and discharging atoms u1_struct_0(all_0_12_12) = all_96_1_64, u1_struct_0(all_0_12_12) = all_86_0_56, yields:
% 10.61/2.93 | (240) all_96_1_64 = all_86_0_56
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (141) with all_0_14_14, all_102_1_69, all_0_13_13 and discharging atoms u1_struct_0(all_0_14_14) = all_102_1_69, u1_struct_0(all_0_14_14) = all_0_13_13, yields:
% 10.61/2.93 | (241) all_102_1_69 = all_0_13_13
% 10.61/2.93 |
% 10.61/2.93 | Instantiating formula (141) with all_0_14_14, all_98_1_66, all_102_1_69 and discharging atoms u1_struct_0(all_0_14_14) = all_102_1_69, u1_struct_0(all_0_14_14) = all_98_1_66, yields:
% 10.61/2.94 | (242) all_102_1_69 = all_98_1_66
% 10.61/2.94 |
% 10.61/2.94 | Instantiating formula (141) with all_0_14_14, all_86_1_57, all_98_1_66 and discharging atoms u1_struct_0(all_0_14_14) = all_98_1_66, u1_struct_0(all_0_14_14) = all_86_1_57, yields:
% 10.61/2.94 | (243) all_98_1_66 = all_86_1_57
% 10.61/2.94 |
% 10.61/2.94 | Combining equations (242,241) yields a new equation:
% 10.61/2.94 | (244) all_98_1_66 = all_0_13_13
% 10.61/2.94 |
% 10.61/2.94 | Simplifying 244 yields:
% 10.61/2.94 | (245) all_98_1_66 = all_0_13_13
% 10.61/2.94 |
% 10.61/2.94 | Combining equations (245,243) yields a new equation:
% 10.61/2.94 | (246) all_86_1_57 = all_0_13_13
% 10.61/2.94 |
% 10.61/2.94 | Combining equations (239,240) yields a new equation:
% 10.61/2.94 | (247) all_86_0_56 = all_0_11_11
% 10.61/2.94 |
% 10.61/2.94 | Combining equations (246,243) yields a new equation:
% 10.61/2.94 | (245) all_98_1_66 = all_0_13_13
% 10.61/2.94 |
% 10.61/2.94 | From (247) and (216) follows:
% 10.61/2.94 | (57) u1_struct_0(all_0_12_12) = all_0_11_11
% 10.61/2.94 |
% 10.61/2.94 | From (246) and (217) follows:
% 10.61/2.94 | (110) u1_struct_0(all_0_14_14) = all_0_13_13
% 10.61/2.94 |
% 10.61/2.94 | From (246)(247) and (218) follows:
% 10.61/2.94 | (251) m2_relset_1(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 | From (238) and (221) follows:
% 10.61/2.94 | (252) v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 | From (246)(247) and (219) follows:
% 10.61/2.94 | (253) v1_funct_2(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 | From (238) and (223) follows:
% 10.61/2.94 | (254) v1_funct_1(all_0_10_10)
% 10.61/2.94 |
% 10.61/2.94 +-Applying beta-rule and splitting (233), into two cases.
% 10.61/2.94 |-Branch one:
% 10.61/2.94 | (255) ~ m1_subset_1(all_0_9_9, all_98_1_66)
% 10.61/2.94 |
% 10.61/2.94 | From (245) and (255) follows:
% 10.61/2.94 | (256) ~ m1_subset_1(all_0_9_9, all_0_13_13)
% 10.61/2.94 |
% 10.61/2.94 | Using (163) and (256) yields:
% 10.61/2.94 | (257) $false
% 10.61/2.94 |
% 10.61/2.94 |-The branch is then unsatisfiable
% 10.61/2.94 |-Branch two:
% 10.61/2.94 | (258) m1_subset_1(all_0_9_9, all_98_1_66)
% 10.61/2.94 | (259) m1_subset_1(all_0_8_8, all_98_0_65)
% 10.61/2.94 |
% 10.61/2.94 | From (245) and (258) follows:
% 10.61/2.94 | (163) m1_subset_1(all_0_9_9, all_0_13_13)
% 10.61/2.94 |
% 10.61/2.94 +-Applying beta-rule and splitting (199), into two cases.
% 10.61/2.94 |-Branch one:
% 10.61/2.94 | (261) ~ m2_relset_1(all_0_10_10, all_0_13_13, all_44_0_41)
% 10.61/2.94 |
% 10.61/2.94 | From (205) and (261) follows:
% 10.61/2.94 | (262) ~ m2_relset_1(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 | Using (251) and (262) yields:
% 10.61/2.94 | (257) $false
% 10.61/2.94 |
% 10.61/2.94 |-The branch is then unsatisfiable
% 10.61/2.94 |-Branch two:
% 10.61/2.94 | (264) m2_relset_1(all_0_10_10, all_0_13_13, all_44_0_41)
% 10.61/2.94 | (265) ~ v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12) | ~ v1_funct_2(all_0_10_10, all_0_13_13, all_44_0_41) | ~ v1_funct_1(all_0_10_10) | v3_borsuk_1(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 | From (205) and (264) follows:
% 10.61/2.94 | (251) m2_relset_1(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 +-Applying beta-rule and splitting (203), into two cases.
% 10.61/2.94 |-Branch one:
% 10.61/2.94 | (267) ~ m2_relset_1(all_47_0_42, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 | From (204) and (267) follows:
% 10.61/2.94 | (262) ~ m2_relset_1(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 | Using (251) and (262) yields:
% 10.61/2.94 | (257) $false
% 10.61/2.94 |
% 10.61/2.94 |-The branch is then unsatisfiable
% 10.61/2.94 |-Branch two:
% 10.61/2.94 | (270) m2_relset_1(all_47_0_42, all_0_13_13, all_0_11_11)
% 10.61/2.94 | (271) ~ v5_pre_topc(all_47_0_42, all_0_14_14, all_0_12_12) | ~ v1_funct_2(all_47_0_42, all_0_13_13, all_0_11_11) | ~ v1_funct_1(all_47_0_42) | v3_borsuk_1(all_47_0_42, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 | From (204) and (270) follows:
% 10.61/2.94 | (251) m2_relset_1(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 +-Applying beta-rule and splitting (265), into two cases.
% 10.61/2.94 |-Branch one:
% 10.61/2.94 | (273) ~ v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 | Using (252) and (273) yields:
% 10.61/2.94 | (257) $false
% 10.61/2.94 |
% 10.61/2.94 |-The branch is then unsatisfiable
% 10.61/2.94 |-Branch two:
% 10.61/2.94 | (252) v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.94 | (276) ~ v1_funct_2(all_0_10_10, all_0_13_13, all_44_0_41) | ~ v1_funct_1(all_0_10_10) | v3_borsuk_1(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 +-Applying beta-rule and splitting (271), into two cases.
% 10.61/2.94 |-Branch one:
% 10.61/2.94 | (277) ~ v5_pre_topc(all_47_0_42, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 | From (204) and (277) follows:
% 10.61/2.94 | (273) ~ v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 | Using (252) and (273) yields:
% 10.61/2.94 | (257) $false
% 10.61/2.94 |
% 10.61/2.94 |-The branch is then unsatisfiable
% 10.61/2.94 |-Branch two:
% 10.61/2.94 | (280) v5_pre_topc(all_47_0_42, all_0_14_14, all_0_12_12)
% 10.61/2.94 | (281) ~ v1_funct_2(all_47_0_42, all_0_13_13, all_0_11_11) | ~ v1_funct_1(all_47_0_42) | v3_borsuk_1(all_47_0_42, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 | From (204) and (280) follows:
% 10.61/2.94 | (252) v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 +-Applying beta-rule and splitting (276), into two cases.
% 10.61/2.94 |-Branch one:
% 10.61/2.94 | (283) ~ v1_funct_2(all_0_10_10, all_0_13_13, all_44_0_41)
% 10.61/2.94 |
% 10.61/2.94 | From (205) and (283) follows:
% 10.61/2.94 | (284) ~ v1_funct_2(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 | Using (253) and (284) yields:
% 10.61/2.94 | (257) $false
% 10.61/2.94 |
% 10.61/2.94 |-The branch is then unsatisfiable
% 10.61/2.94 |-Branch two:
% 10.61/2.94 | (286) v1_funct_2(all_0_10_10, all_0_13_13, all_44_0_41)
% 10.61/2.94 | (287) ~ v1_funct_1(all_0_10_10) | v3_borsuk_1(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 | From (205) and (286) follows:
% 10.61/2.94 | (253) v1_funct_2(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 +-Applying beta-rule and splitting (281), into two cases.
% 10.61/2.94 |-Branch one:
% 10.61/2.94 | (289) ~ v1_funct_2(all_47_0_42, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 | From (204) and (289) follows:
% 10.61/2.94 | (284) ~ v1_funct_2(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 | Using (253) and (284) yields:
% 10.61/2.94 | (257) $false
% 10.61/2.94 |
% 10.61/2.94 |-The branch is then unsatisfiable
% 10.61/2.94 |-Branch two:
% 10.61/2.94 | (292) v1_funct_2(all_47_0_42, all_0_13_13, all_0_11_11)
% 10.61/2.94 | (293) ~ v1_funct_1(all_47_0_42) | v3_borsuk_1(all_47_0_42, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 | From (204) and (292) follows:
% 10.61/2.94 | (253) v1_funct_2(all_0_10_10, all_0_13_13, all_0_11_11)
% 10.61/2.94 |
% 10.61/2.94 +-Applying beta-rule and splitting (287), into two cases.
% 10.61/2.94 |-Branch one:
% 10.61/2.94 | (295) ~ v1_funct_1(all_0_10_10)
% 10.61/2.94 |
% 10.61/2.94 | Using (254) and (295) yields:
% 10.61/2.94 | (257) $false
% 10.61/2.94 |
% 10.61/2.94 |-The branch is then unsatisfiable
% 10.61/2.94 |-Branch two:
% 10.61/2.94 | (254) v1_funct_1(all_0_10_10)
% 10.61/2.94 | (298) v3_borsuk_1(all_0_10_10, all_0_14_14, all_0_12_12)
% 10.61/2.94 |
% 10.61/2.94 +-Applying beta-rule and splitting (237), into two cases.
% 10.61/2.94 |-Branch one:
% 10.61/2.94 | (299) ~ m1_subset_1(all_0_9_9, all_102_1_69)
% 10.61/2.94 |
% 10.61/2.94 | From (241) and (299) follows:
% 10.61/2.94 | (256) ~ m1_subset_1(all_0_9_9, all_0_13_13)
% 10.61/2.94 |
% 10.61/2.94 | Using (163) and (256) yields:
% 10.61/2.94 | (257) $false
% 10.61/2.94 |
% 10.61/2.94 |-The branch is then unsatisfiable
% 10.61/2.94 |-Branch two:
% 10.61/2.94 | (302) m1_subset_1(all_0_9_9, all_102_1_69)
% 10.61/2.94 | (303) all_102_0_68 = all_0_8_8
% 10.61/2.94 |
% 10.61/2.94 | From (241) and (302) follows:
% 10.61/2.94 | (163) m1_subset_1(all_0_9_9, all_0_13_13)
% 10.61/2.94 |
% 10.61/2.94 | Instantiating formula (3) with 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 and discharging atoms k6_pre_topc(all_0_12_12, all_0_6_6) = all_0_5_5, k6_pre_topc(all_0_14_14, all_0_8_8) = all_0_7_7, k5_pre_topc(all_0_14_14, all_0_12_12, all_0_10_10, all_0_5_5) = all_0_4_4, k1_struct_0(all_0_12_12, all_0_9_9) = all_0_6_6, k1_struct_0(all_0_14_14, all_0_9_9) = all_0_8_8, u1_struct_0(all_0_12_12) = all_0_11_11, u1_struct_0(all_0_14_14) = all_0_13_13, v3_borsuk_1(all_0_10_10, all_0_14_14, all_0_12_12), m2_relset_1(all_0_10_10, all_0_13_13, all_0_11_11), v5_pre_topc(all_0_10_10, all_0_14_14, all_0_12_12), v1_funct_2(all_0_10_10, all_0_13_13, all_0_11_11), v1_funct_1(all_0_10_10), m1_subset_1(all_0_9_9, all_0_11_11), m1_subset_1(all_0_9_9, all_0_13_13), m2_tsp_1(all_0_12_12, all_0_14_14), v2_tsp_2(all_0_12_12, all_0_14_14), l1_pre_topc(all_0_14_14), v2_pre_topc(all_0_14_14), ~ v3_struct_0(all_0_12_12), ~ v3_struct_0(all_0_14_14), yields:
% 10.61/2.94 | (305) all_0_4_4 = all_0_7_7
% 10.61/2.94 |
% 10.61/2.95 | Equations (305) can reduce 34 to:
% 10.61/2.95 | (306) $false
% 10.61/2.95 |
% 10.61/2.95 |-The branch is then unsatisfiable
% 10.61/2.95 % SZS output end Proof for theBenchmark
% 10.61/2.95
% 10.61/2.95 2357ms
%------------------------------------------------------------------------------