TSTP Solution File: TOP026+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : TOP026+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.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 21:24:39 EDT 2022
% Result : Theorem 4.35s 1.68s
% Output : Proof 8.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : TOP026+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 09:15:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.56 ____ _
% 0.18/0.56 ___ / __ \_____(_)___ ________ __________
% 0.18/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.56
% 0.18/0.56 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.65/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.96/1.01 Prover 0: Preprocessing ...
% 3.16/1.39 Prover 0: Warning: ignoring some quantifiers
% 3.39/1.43 Prover 0: Constructing countermodel ...
% 4.35/1.68 Prover 0: proved (1060ms)
% 4.35/1.68
% 4.35/1.68 No countermodel exists, formula is valid
% 4.35/1.68 % SZS status Theorem for theBenchmark
% 4.35/1.68
% 4.35/1.68 Generating proof ... Warning: ignoring some quantifiers
% 7.32/2.37 found it (size 188)
% 7.32/2.37
% 7.32/2.37 % SZS output start Proof for theBenchmark
% 7.32/2.37 Assumed formulas after preprocessing and simplification:
% 7.32/2.37 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v7 = v5) & k6_pre_topc(v0, v4) = v5 & k3_tex_4(v0, v6) = v7 & k5_subset_1(v1, v3, v5) = v6 & u1_struct_0(v0) = v1 & k1_zfmisc_1(v1) = v2 & l1_struct_0(v10) & l1_struct_0(v9) & v1_xboole_0(k1_xboole_0) & v5_membered(v11) & v5_membered(k1_xboole_0) & v4_membered(v11) & v4_membered(k1_xboole_0) & v3_membered(v11) & v3_membered(k1_xboole_0) & v2_membered(v11) & v2_membered(k1_xboole_0) & v1_membered(v11) & v1_membered(k1_xboole_0) & v1_tsp_2(v3, v0) & m1_subset_1(v4, v2) & m1_subset_1(v3, v2) & l1_pre_topc(v8) & l1_pre_topc(v0) & v2_pre_topc(v0) & ~ v1_xboole_0(v11) & ~ v3_struct_0(v9) & ~ v3_struct_0(v0) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v13 = v12 | ~ (k5_subset_1(v16, v15, v14) = v13) | ~ (k5_subset_1(v16, v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k3_xboole_0(v13, v14) = v16) | ~ (k1_zfmisc_1(v12) = v15) | ~ m1_subset_1(v14, v15) | ~ m1_subset_1(v13, v15) | k5_subset_1(v12, v13, v14) = v16) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (k6_pre_topc(v15, v14) = v13) | ~ (k6_pre_topc(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (k3_tex_4(v15, v14) = v13) | ~ (k3_tex_4(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (k3_xboole_0(v15, v14) = v13) | ~ (k3_xboole_0(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k5_subset_1(v12, v14, v13) = v15) | ? [v16] : ? [v17] : (k5_subset_1(v12, v13, v14) = v17 & k1_zfmisc_1(v12) = v16 & (v17 = v15 | ~ m1_subset_1(v14, v16) | ~ m1_subset_1(v13, v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k5_subset_1(v12, v13, v14) = v15) | ? [v16] : ? [v17] : (k5_subset_1(v12, v14, v13) = v17 & k1_zfmisc_1(v12) = v16 & (v17 = v15 | ~ m1_subset_1(v14, v16) | ~ m1_subset_1(v13, v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k5_subset_1(v12, v13, v14) = v15) | ? [v16] : ? [v17] : (k3_xboole_0(v13, v14) = v17 & k1_zfmisc_1(v12) = v16 & (v17 = v15 | ~ m1_subset_1(v14, v16) | ~ m1_subset_1(v13, v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k5_subset_1(v12, v13, v14) = v15) | ? [v16] : (k1_zfmisc_1(v12) = v16 & ( ~ m1_subset_1(v14, v16) | ~ m1_subset_1(v13, v16) | m1_subset_1(v15, v16)))) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v1_xboole_0(v14) | ~ r2_hidden(v12, v13) | ~ m1_subset_1(v13, v15)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ r2_hidden(v12, v13) | ~ m1_subset_1(v13, v15) | m1_subset_1(v12, v14)) & ? [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = v14 | ~ (k5_subset_1(v13, v14, v14) = v15) | ? [v16] : (k1_zfmisc_1(v13) = v16 & ( ~ m1_subset_1(v14, v16) | ~ m1_subset_1(v12, v16)))) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (u1_struct_0(v14) = v13) | ~ (u1_struct_0(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (k1_zfmisc_1(v14) = v13) | ~ (k1_zfmisc_1(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k6_pre_topc(v12, v13) = v14) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | v4_pre_topc(v14, v12) | ? [v15] : ? [v16] : (u1_struct_0(v12) = v15 & k1_zfmisc_1(v15) = v16 & ~ m1_subset_1(v13, v16))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k6_pre_topc(v12, v13) = v14) | ~ l1_pre_topc(v12) | ? [v15] : ? [v16] : (u1_struct_0(v12) = v15 & k1_zfmisc_1(v15) = v16 & ( ~ m1_subset_1(v13, v16) | m1_subset_1(v14, v16)))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_tex_4(v12, v13) = v14) | ~ l1_pre_topc(v12) | v3_struct_0(v12) | ? [v15] : ? [v16] : (u1_struct_0(v12) = v15 & k1_zfmisc_1(v15) = v16 & ( ~ m1_subset_1(v13, v16) | m1_subset_1(v14, v16)))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v5_membered(v12) | v5_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v5_membered(v12) | v4_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v5_membered(v12) | v3_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v5_membered(v12) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v5_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v4_membered(v12) | v4_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v4_membered(v12) | v3_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v4_membered(v12) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v4_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v3_membered(v12) | v3_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v3_membered(v12) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v3_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v2_membered(v12) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v2_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | ~ v1_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v13, v12) = v14) | k3_xboole_0(v12, v13) = v14) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v5_membered(v12) | v5_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v5_membered(v12) | v4_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v5_membered(v12) | v3_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v5_membered(v12) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v5_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v4_membered(v12) | v4_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v4_membered(v12) | v3_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v4_membered(v12) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v4_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v3_membered(v12) | v3_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v3_membered(v12) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v3_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v2_membered(v12) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v2_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | ~ v1_membered(v12) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k3_xboole_0(v12, v13) = v14) | k3_xboole_0(v13, v12) = v14) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) | ~ r1_tarski(v12, v13) | m1_subset_1(v12, v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) | ~ m1_subset_1(v12, v14) | r1_tarski(v12, v13)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v5_membered(v12) | ~ m1_subset_1(v14, v13) | v5_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v5_membered(v12) | ~ m1_subset_1(v14, v13) | v4_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v5_membered(v12) | ~ m1_subset_1(v14, v13) | v3_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v5_membered(v12) | ~ m1_subset_1(v14, v13) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v5_membered(v12) | ~ m1_subset_1(v14, v13) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v4_membered(v12) | ~ m1_subset_1(v14, v13) | v4_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v4_membered(v12) | ~ m1_subset_1(v14, v13) | v3_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v4_membered(v12) | ~ m1_subset_1(v14, v13) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v4_membered(v12) | ~ m1_subset_1(v14, v13) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v3_membered(v12) | ~ m1_subset_1(v14, v13) | v3_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v3_membered(v12) | ~ m1_subset_1(v14, v13) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v3_membered(v12) | ~ m1_subset_1(v14, v13) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v2_membered(v12) | ~ m1_subset_1(v14, v13) | v2_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v2_membered(v12) | ~ m1_subset_1(v14, v13) | v1_membered(v14)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v1_membered(v12) | ~ m1_subset_1(v14, v13) | v1_membered(v14)) & ! [v12] : ! [v13] : (v13 = v12 | ~ (k3_xboole_0(v12, v12) = v13)) & ! [v12] : ! [v13] : (v13 = v12 | ~ v1_xboole_0(v13) | ~ v1_xboole_0(v12)) & ! [v12] : ! [v13] : (v13 = k1_xboole_0 | ~ (k3_xboole_0(v12, k1_xboole_0) = v13)) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_struct_0(v12) | ~ v1_xboole_0(v13) | v3_struct_0(v12)) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_struct_0(v12) | v3_struct_0(v12) | ? [v14] : ? [v15] : (k1_zfmisc_1(v13) = v14 & m1_subset_1(v15, v14) & ~ v1_xboole_0(v15))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | v3_struct_0(v12) | ? [v14] : ? [v15] : (k1_zfmisc_1(v13) = v14 & v3_pre_topc(v15, v12) & v4_pre_topc(v15, v12) & m1_subset_1(v15, v14) & ~ v1_xboole_0(v15))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | v3_struct_0(v12) | ? [v14] : ? [v15] : (k1_zfmisc_1(v13) = v14 & v4_pre_topc(v15, v12) & m1_subset_1(v15, v14) & ~ v1_xboole_0(v15))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | v3_struct_0(v12) | ? [v14] : (k1_zfmisc_1(v13) = v14 & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v16 | ~ (k3_tex_4(v12, v17) = v18) | ~ (k5_subset_1(v13, v15, v16) = v17) | ~ v4_pre_topc(v16, v12) | ~ v1_tsp_2(v15, v12) | ~ m1_subset_1(v16, v14) | ~ m1_subset_1(v15, v14)))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | ? [v14] : ? [v15] : (k1_zfmisc_1(v13) = v14 & v1_xboole_0(v15) & v3_pre_topc(v15, v12) & v4_pre_topc(v15, v12) & v2_tops_1(v15, v12) & v3_tops_1(v15, v12) & v5_membered(v15) & v4_membered(v15) & v3_membered(v15) & v2_membered(v15) & v1_membered(v15) & m1_subset_1(v15, v14))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | ? [v14] : ? [v15] : (k1_zfmisc_1(v13) = v14 & v3_pre_topc(v15, v12) & v4_pre_topc(v15, v12) & m1_subset_1(v15, v14))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | ? [v14] : ? [v15] : (k1_zfmisc_1(v13) = v14 & v3_pre_topc(v15, v12) & m1_subset_1(v15, v14))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | ? [v14] : ? [v15] : (k1_zfmisc_1(v13) = v14 & v4_pre_topc(v15, v12) & m1_subset_1(v15, v14))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | ? [v14] : (k1_zfmisc_1(v13) = v14 & ! [v15] : ( ~ v1_xboole_0(v15) | ~ m1_subset_1(v15, v14) | v3_pre_topc(v15, v12)) & ! [v15] : ( ~ v1_xboole_0(v15) | ~ m1_subset_1(v15, v14) | v4_pre_topc(v15, v12)))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | ? [v14] : (k1_zfmisc_1(v13) = v14 & ! [v15] : ( ~ v1_xboole_0(v15) | ~ m1_subset_1(v15, v14) | v3_tops_1(v15, v12)))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | ? [v14] : (k1_zfmisc_1(v13) = v14 & ! [v15] : ( ~ v3_pre_topc(v15, v12) | ~ v3_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v1_xboole_0(v15)) & ! [v15] : ( ~ v3_pre_topc(v15, v12) | ~ v3_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v4_pre_topc(v15, v12)) & ! [v15] : ( ~ v3_pre_topc(v15, v12) | ~ v3_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v2_tops_1(v15, v12)) & ! [v15] : ( ~ v3_pre_topc(v15, v12) | ~ v3_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v5_membered(v15)) & ! [v15] : ( ~ v3_pre_topc(v15, v12) | ~ v3_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v4_membered(v15)) & ! [v15] : ( ~ v3_pre_topc(v15, v12) | ~ v3_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v3_membered(v15)) & ! [v15] : ( ~ v3_pre_topc(v15, v12) | ~ v3_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v2_membered(v15)) & ! [v15] : ( ~ v3_pre_topc(v15, v12) | ~ v3_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v1_membered(v15)))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | ? [v14] : (k1_zfmisc_1(v13) = v14 & ! [v15] : ( ~ v4_pre_topc(v15, v12) | ~ v2_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v3_tops_1(v15, v12)))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ~ v2_pre_topc(v12) | ? [v14] : (k1_zfmisc_1(v13) = v14 & ! [v15] : ( ~ v3_tops_1(v15, v12) | ~ m1_subset_1(v15, v14) | v2_tops_1(v15, v12)))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ? [v14] : ? [v15] : (k1_zfmisc_1(v13) = v14 & v1_xboole_0(v15) & v2_tops_1(v15, v12) & v5_membered(v15) & v4_membered(v15) & v3_membered(v15) & v2_membered(v15) & v1_membered(v15) & m1_subset_1(v15, v14))) & ! [v12] : ! [v13] : ( ~ (u1_struct_0(v12) = v13) | ~ l1_pre_topc(v12) | ? [v14] : (k1_zfmisc_1(v13) = v14 & ! [v15] : ( ~ v1_xboole_0(v15) | ~ m1_subset_1(v15, v14) | v2_tops_1(v15, v12)))) & ! [v12] : ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ v1_xboole_0(v13)) & ! [v12] : ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | v1_xboole_0(v12) | ? [v14] : (m1_subset_1(v14, v13) & ~ v1_xboole_0(v14))) & ! [v12] : ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | ? [v14] : (v1_xboole_0(v14) & m1_subset_1(v14, v13))) & ! [v12] : ! [v13] : ( ~ v1_xboole_0(v13) | ~ r2_hidden(v12, v13)) & ! [v12] : ! [v13] : ( ~ v5_membered(v12) | ~ m1_subset_1(v13, v12) | v4_ordinal2(v13)) & ! [v12] : ! [v13] : ( ~ v5_membered(v12) | ~ m1_subset_1(v13, v12) | v1_int_1(v13)) & ! [v12] : ! [v13] : ( ~ v5_membered(v12) | ~ m1_subset_1(v13, v12) | v1_rat_1(v13)) & ! [v12] : ! [v13] : ( ~ v5_membered(v12) | ~ m1_subset_1(v13, v12) | v1_xreal_0(v13)) & ! [v12] : ! [v13] : ( ~ v5_membered(v12) | ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) & ! [v12] : ! [v13] : ( ~ v4_membered(v12) | ~ m1_subset_1(v13, v12) | v1_int_1(v13)) & ! [v12] : ! [v13] : ( ~ v4_membered(v12) | ~ m1_subset_1(v13, v12) | v1_rat_1(v13)) & ! [v12] : ! [v13] : ( ~ v4_membered(v12) | ~ m1_subset_1(v13, v12) | v1_xreal_0(v13)) & ! [v12] : ! [v13] : ( ~ v4_membered(v12) | ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) & ! [v12] : ! [v13] : ( ~ v3_membered(v12) | ~ m1_subset_1(v13, v12) | v1_rat_1(v13)) & ! [v12] : ! [v13] : ( ~ v3_membered(v12) | ~ m1_subset_1(v13, v12) | v1_xreal_0(v13)) & ! [v12] : ! [v13] : ( ~ v3_membered(v12) | ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) & ! [v12] : ! [v13] : ( ~ v2_membered(v12) | ~ m1_subset_1(v13, v12) | v1_xreal_0(v13)) & ! [v12] : ! [v13] : ( ~ v2_membered(v12) | ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) & ! [v12] : ! [v13] : ( ~ v1_membered(v12) | ~ m1_subset_1(v13, v12) | v1_xcmplx_0(v13)) & ! [v12] : ! [v13] : ( ~ r2_hidden(v13, v12) | ~ r2_hidden(v12, v13)) & ! [v12] : ! [v13] : ( ~ r2_hidden(v12, v13) | m1_subset_1(v12, v13)) & ! [v12] : ! [v13] : ( ~ m1_subset_1(v12, v13) | v1_xboole_0(v13) | r2_hidden(v12, v13)) & ! [v12] : (v12 = k1_xboole_0 | ~ v1_xboole_0(v12)) & ! [v12] : ( ~ v1_xboole_0(v12) | v5_membered(v12)) & ! [v12] : ( ~ v1_xboole_0(v12) | v4_membered(v12)) & ! [v12] : ( ~ v1_xboole_0(v12) | v3_membered(v12)) & ! [v12] : ( ~ v1_xboole_0(v12) | v2_membered(v12)) & ! [v12] : ( ~ v1_xboole_0(v12) | v1_membered(v12)) & ! [v12] : ( ~ v5_membered(v12) | v4_membered(v12)) & ! [v12] : ( ~ v4_membered(v12) | v3_membered(v12)) & ! [v12] : ( ~ v3_membered(v12) | v2_membered(v12)) & ! [v12] : ( ~ v2_membered(v12) | v1_membered(v12)) & ! [v12] : ( ~ l1_pre_topc(v12) | l1_struct_0(v12)) & ? [v12] : ? [v13] : m1_subset_1(v13, v12) & ? [v12] : r1_tarski(v12, v12))
% 7.90/2.43 | 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 yields:
% 7.90/2.43 | (1) ~ (all_0_4_4 = all_0_6_6) & k6_pre_topc(all_0_11_11, all_0_7_7) = all_0_6_6 & k3_tex_4(all_0_11_11, all_0_5_5) = all_0_4_4 & k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5 & u1_struct_0(all_0_11_11) = all_0_10_10 & k1_zfmisc_1(all_0_10_10) = all_0_9_9 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_2_2) & v1_xboole_0(k1_xboole_0) & v5_membered(all_0_0_0) & v5_membered(k1_xboole_0) & v4_membered(all_0_0_0) & v4_membered(k1_xboole_0) & v3_membered(all_0_0_0) & v3_membered(k1_xboole_0) & v2_membered(all_0_0_0) & v2_membered(k1_xboole_0) & v1_membered(all_0_0_0) & v1_membered(k1_xboole_0) & v1_tsp_2(all_0_8_8, all_0_11_11) & m1_subset_1(all_0_7_7, all_0_9_9) & m1_subset_1(all_0_8_8, all_0_9_9) & l1_pre_topc(all_0_3_3) & l1_pre_topc(all_0_11_11) & v2_pre_topc(all_0_11_11) & ~ v1_xboole_0(all_0_0_0) & ~ v3_struct_0(all_0_2_2) & ~ v3_struct_0(all_0_11_11) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k5_subset_1(v4, v3, v2) = v1) | ~ (k5_subset_1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k3_xboole_0(v1, v2) = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | k5_subset_1(v0, v1, v2) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k6_pre_topc(v3, v2) = v1) | ~ (k6_pre_topc(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_tex_4(v3, v2) = v1) | ~ (k3_tex_4(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_xboole_0(v3, v2) = v1) | ~ (k3_xboole_0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v2, v1) = v3) | ? [v4] : ? [v5] : (k5_subset_1(v0, v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (k5_subset_1(v0, v2, v1) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (k3_xboole_0(v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : (k1_zfmisc_1(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (k5_subset_1(v1, v2, v2) = v3) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v0, v4)))) & ! [v0] : ! [v1] : ! [v2] : (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] : ( ~ (k3_tex_4(v0, v1) = v2) | ~ l1_pre_topc(v0) | v3_struct_0(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] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v5_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v4_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v4_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v4_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v4_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v3_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v3_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v3_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v2_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v2_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v1_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | k3_xboole_0(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v5_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v4_membered(v0) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v4_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v4_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v4_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v3_membered(v0) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v3_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v3_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v2_membered(v0) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v2_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v1_membered(v0) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | k3_xboole_0(v1, v0) = v2) & ! [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] : (v1 = v0 | ~ (k3_xboole_0(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : (v1 = k1_xboole_0 | ~ (k3_xboole_0(v0, k1_xboole_0) = v1)) & ! [v0] : ! [v1] : ( ~ (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 & v3_pre_topc(v3, v0) & 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) | 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) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | ~ (k3_tex_4(v0, v5) = v6) | ~ (k5_subset_1(v1, v3, v4) = v5) | ~ v4_pre_topc(v4, v0) | ~ v1_tsp_2(v3, v0) | ~ m1_subset_1(v4, v2) | ~ 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 & v1_xboole_0(v3) & v3_pre_topc(v3, v0) & v4_pre_topc(v3, v0) & v2_tops_1(v3, v0) & v3_tops_1(v3, v0) & 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 & v3_pre_topc(v3, v0) & 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] : ? [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] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v3_pre_topc(v3, v0)) & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v4_pre_topc(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] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v5_membered(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v4_membered(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v3_membered(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v2_membered(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(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] : ( ~ v4_pre_topc(v3, v0) | ~ v2_tops_1(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] : ( ~ 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] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_xboole_0(v3) & v2_tops_1(v3, v0) & 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_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_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] : (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] : ( ~ l1_pre_topc(v0) | l1_struct_0(v0)) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0)
% 7.90/2.45 |
% 7.90/2.45 | Applying alpha-rule on (1) yields:
% 7.90/2.45 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v4_membered(v0) | v2_membered(v2))
% 7.90/2.45 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v4_membered(v0) | v3_membered(v2))
% 7.90/2.45 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 7.90/2.45 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v2_membered(v0) | v2_membered(v2))
% 7.90/2.45 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v4_membered(v0) | v4_membered(v2))
% 7.90/2.45 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (k3_xboole_0(v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 7.90/2.45 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 7.90/2.45 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 7.90/2.45 | (10) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 7.90/2.46 | (11) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 7.90/2.46 | (12) v5_membered(all_0_0_0)
% 7.90/2.46 | (13) m1_subset_1(all_0_7_7, all_0_9_9)
% 7.90/2.46 | (14) ~ v1_xboole_0(all_0_0_0)
% 7.90/2.46 | (15) l1_struct_0(all_0_2_2)
% 7.90/2.46 | (16) ! [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)))
% 7.90/2.46 | (17) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v4_membered(v2))
% 7.90/2.46 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v1_membered(v0) | v1_membered(v2))
% 7.90/2.46 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : (k1_zfmisc_1(v0) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4) | m1_subset_1(v3, v4))))
% 7.90/2.46 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.46 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.46 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v2_membered(v0) | v2_membered(v2))
% 7.90/2.46 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v1, v2) = v3) | ? [v4] : ? [v5] : (k5_subset_1(v0, v2, v1) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 7.90/2.46 | (24) ! [v0] : ! [v1] : (v1 = k1_xboole_0 | ~ (k3_xboole_0(v0, k1_xboole_0) = v1))
% 7.90/2.46 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v4_membered(v0) | v1_membered(v2))
% 7.90/2.46 | (26) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.90/2.46 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k5_subset_1(v0, v2, v1) = v3) | ? [v4] : ? [v5] : (k5_subset_1(v0, v1, v2) = v5 & k1_zfmisc_1(v0) = v4 & (v5 = v3 | ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v1, v4))))
% 7.90/2.46 | (28) ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0))
% 7.90/2.46 | (29) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.46 | (30) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 7.90/2.46 | (31) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.46 | (32) l1_struct_0(all_0_1_1)
% 7.90/2.46 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v3_membered(v0) | v2_membered(v2))
% 7.90/2.46 | (34) m1_subset_1(all_0_8_8, all_0_9_9)
% 7.90/2.46 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.90/2.46 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k3_xboole_0(v1, v2) = v4) | ~ (k1_zfmisc_1(v0) = v3) | ~ m1_subset_1(v2, v3) | ~ m1_subset_1(v1, v3) | k5_subset_1(v0, v1, v2) = v4)
% 7.90/2.46 | (37) v3_membered(all_0_0_0)
% 7.90/2.46 | (38) v4_membered(k1_xboole_0)
% 7.90/2.46 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 7.90/2.46 | (40) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 7.90/2.46 | (41) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v4_pre_topc(v3, v0) | ~ v2_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v3_tops_1(v3, v0))))
% 7.90/2.46 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2))
% 7.90/2.46 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 7.90/2.46 | (44) ? [v0] : r1_tarski(v0, v0)
% 7.90/2.46 | (45) ~ (all_0_4_4 = all_0_6_6)
% 7.90/2.46 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v3_membered(v0) | v3_membered(v2))
% 7.90/2.46 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | k3_xboole_0(v1, v0) = v2)
% 7.90/2.46 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | k3_xboole_0(v0, v1) = v2)
% 7.90/2.46 | (49) l1_pre_topc(all_0_11_11)
% 7.90/2.46 | (50) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 7.90/2.46 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.46 | (52) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 7.90/2.46 | (53) ! [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) & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2)))
% 7.90/2.46 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 7.90/2.46 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v1_membered(v0) | v1_membered(v2))
% 7.90/2.46 | (56) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 7.90/2.46 | (57) ! [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)))
% 7.90/2.46 | (58) ! [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_pre_topc(v3, v0)) & ! [v3] : ( ~ v1_xboole_0(v3) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0))))
% 7.90/2.47 | (59) k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5
% 7.90/2.47 | (60) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.47 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v2_membered(v2))
% 7.90/2.47 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.90/2.47 | (63) ? [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (k5_subset_1(v1, v2, v2) = v3) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ( ~ m1_subset_1(v2, v4) | ~ m1_subset_1(v0, v4))))
% 7.90/2.47 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v3_membered(v0) | v3_membered(v2))
% 7.90/2.47 | (65) v2_membered(k1_xboole_0)
% 7.90/2.47 | (66) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 7.90/2.47 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v1_membered(v2))
% 7.90/2.47 | (68) ! [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)))
% 7.90/2.47 | (69) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | v3_struct_0(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | ~ (k3_tex_4(v0, v5) = v6) | ~ (k5_subset_1(v1, v3, v4) = v5) | ~ v4_pre_topc(v4, v0) | ~ v1_tsp_2(v3, v0) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2))))
% 7.90/2.47 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.90/2.47 | (71) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v4_membered(v0) | v2_membered(v2))
% 7.90/2.47 | (72) k6_pre_topc(all_0_11_11, all_0_7_7) = all_0_6_6
% 7.90/2.47 | (73) v4_membered(all_0_0_0)
% 7.90/2.47 | (74) ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0))
% 7.90/2.47 | (75) ! [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))))
% 7.90/2.47 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v2_membered(v0) | v1_membered(v2))
% 7.90/2.47 | (77) ! [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)))
% 7.90/2.47 | (78) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 7.90/2.47 | (79) ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0))
% 7.90/2.47 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v5_membered(v2))
% 7.90/2.47 | (81) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 7.90/2.47 | (82) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.90/2.47 | (83) v1_tsp_2(all_0_8_8, all_0_11_11)
% 7.90/2.47 | (84) k1_zfmisc_1(all_0_10_10) = all_0_9_9
% 7.90/2.47 | (85) ! [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))))
% 7.90/2.47 | (86) k3_tex_4(all_0_11_11, all_0_5_5) = all_0_4_4
% 7.90/2.47 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v1_membered(v2))
% 7.90/2.47 | (88) ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0))
% 7.90/2.47 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (k5_subset_1(v4, v3, v2) = v1) | ~ (k5_subset_1(v4, v3, v2) = v0))
% 7.90/2.47 | (90) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v4_ordinal2(v1))
% 7.90/2.47 | (91) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 7.90/2.47 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_tex_4(v3, v2) = v1) | ~ (k3_tex_4(v3, v2) = v0))
% 7.90/2.47 | (93) ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0))
% 7.90/2.47 | (94) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_xboole_0(v3) & v2_tops_1(v3, v0) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2)))
% 7.90/2.48 | (95) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 7.90/2.48 | (96) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 7.90/2.48 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 7.90/2.48 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 7.90/2.48 | (99) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 7.90/2.48 | (100) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v4_membered(v2))
% 7.90/2.48 | (101) ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0))
% 7.90/2.48 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k3_xboole_0(v3, v2) = v1) | ~ (k3_xboole_0(v3, v2) = v0))
% 7.90/2.48 | (103) ! [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))))
% 7.90/2.48 | (104) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.48 | (105) ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0))
% 7.90/2.48 | (106) ! [v0] : ! [v1] : (v1 = v0 | ~ (k3_xboole_0(v0, v0) = v1))
% 7.90/2.48 | (107) v3_membered(k1_xboole_0)
% 7.90/2.48 | (108) ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0))
% 7.90/2.48 | (109) u1_struct_0(all_0_11_11) = all_0_10_10
% 7.90/2.48 | (110) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v4_pre_topc(v3, v0)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v2_tops_1(v3, v0)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v5_membered(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v4_membered(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v3_membered(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v2_membered(v3)) & ! [v3] : ( ~ v3_pre_topc(v3, v0) | ~ v3_tops_1(v3, v0) | ~ m1_subset_1(v3, v2) | v1_membered(v3))))
% 7.90/2.48 | (111) ! [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))))
% 7.90/2.48 | (112) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.48 | (113) v1_xboole_0(k1_xboole_0)
% 7.90/2.48 | (114) ! [v0] : ( ~ l1_pre_topc(v0) | l1_struct_0(v0))
% 7.90/2.48 | (115) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v4_membered(v0) | v1_membered(v2))
% 7.90/2.48 | (116) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v4_membered(v0) | v4_membered(v2))
% 7.90/2.48 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k6_pre_topc(v3, v2) = v1) | ~ (k6_pre_topc(v3, v2) = v0))
% 7.90/2.48 | (118) v2_pre_topc(all_0_11_11)
% 7.90/2.48 | (119) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ~ v2_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v1_xboole_0(v3) & v3_pre_topc(v3, v0) & v4_pre_topc(v3, v0) & v2_tops_1(v3, v0) & v3_tops_1(v3, v0) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2)))
% 7.90/2.48 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3))
% 7.90/2.48 | (121) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v2_membered(v0) | v1_membered(v2))
% 7.90/2.48 | (122) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v3_membered(v2))
% 7.90/2.48 | (123) ~ v3_struct_0(all_0_11_11)
% 7.90/2.48 | (124) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 7.90/2.48 | (125) l1_pre_topc(all_0_3_3)
% 7.90/2.48 | (126) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v4_membered(v0) | v3_membered(v2))
% 7.90/2.48 | (127) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 7.90/2.48 | (128) ! [v0] : ! [v1] : ( ~ v1_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 7.90/2.48 | (129) ! [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)))
% 7.90/2.48 | (130) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v3_membered(v0) | v1_membered(v2))
% 7.90/2.48 | (131) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v2_membered(v2))
% 7.90/2.48 | (132) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v5_membered(v0) | v5_membered(v2))
% 7.90/2.48 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_tex_4(v0, v1) = v2) | ~ l1_pre_topc(v0) | v3_struct_0(v0) | ? [v3] : ? [v4] : (u1_struct_0(v0) = v3 & k1_zfmisc_1(v3) = v4 & ( ~ m1_subset_1(v1, v4) | m1_subset_1(v2, v4))))
% 7.90/2.48 | (134) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 7.90/2.48 | (135) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.90/2.48 | (136) v1_membered(k1_xboole_0)
% 7.90/2.48 | (137) ! [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 & v3_pre_topc(v3, v0) & v4_pre_topc(v3, v0) & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3)))
% 7.90/2.48 | (138) v2_membered(all_0_0_0)
% 7.90/2.48 | (139) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 7.90/2.48 | (140) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 7.90/2.48 | (141) ~ v3_struct_0(all_0_2_2)
% 7.90/2.48 | (142) v5_membered(k1_xboole_0)
% 7.90/2.48 | (143) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 7.90/2.48 | (144) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 7.90/2.48 | (145) v1_membered(all_0_0_0)
% 7.90/2.48 | (146) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v5_membered(v0) | v3_membered(v2))
% 7.90/2.48 | (147) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v0, v1) = v2) | ~ v3_membered(v0) | v2_membered(v2))
% 7.90/2.48 | (148) ! [v0] : ! [v1] : ! [v2] : ( ~ (k3_xboole_0(v1, v0) = v2) | ~ v3_membered(v0) | v1_membered(v2))
% 7.90/2.48 | (149) ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0))
% 7.90/2.48 |
% 7.90/2.48 | Instantiating formula (27) with all_0_5_5, all_0_8_8, all_0_6_6, all_0_10_10 and discharging atoms k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 7.90/2.49 | (150) ? [v0] : ? [v1] : (k5_subset_1(all_0_10_10, all_0_6_6, all_0_8_8) = v1 & k1_zfmisc_1(all_0_10_10) = v0 & (v1 = all_0_5_5 | ~ m1_subset_1(all_0_6_6, v0) | ~ m1_subset_1(all_0_8_8, v0)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (7) with all_0_5_5, all_0_6_6, all_0_8_8, all_0_10_10 and discharging atoms k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 7.90/2.49 | (151) ? [v0] : ? [v1] : (k3_xboole_0(all_0_8_8, all_0_6_6) = v1 & k1_zfmisc_1(all_0_10_10) = v0 & (v1 = all_0_5_5 | ~ m1_subset_1(all_0_6_6, v0) | ~ m1_subset_1(all_0_8_8, v0)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (19) with all_0_5_5, all_0_6_6, all_0_8_8, all_0_10_10 and discharging atoms k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5, yields:
% 7.90/2.49 | (152) ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 & ( ~ m1_subset_1(all_0_6_6, v0) | ~ m1_subset_1(all_0_8_8, v0) | m1_subset_1(all_0_5_5, v0)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (103) with all_0_6_6, all_0_7_7, all_0_11_11 and discharging atoms k6_pre_topc(all_0_11_11, all_0_7_7) = all_0_6_6, l1_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (153) ? [v0] : ? [v1] : (u1_struct_0(all_0_11_11) = v0 & k1_zfmisc_1(v0) = v1 & ( ~ m1_subset_1(all_0_7_7, v1) | m1_subset_1(all_0_6_6, v1)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (133) with all_0_4_4, all_0_5_5, all_0_11_11 and discharging atoms k3_tex_4(all_0_11_11, all_0_5_5) = all_0_4_4, l1_pre_topc(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields:
% 7.90/2.49 | (154) ? [v0] : ? [v1] : (u1_struct_0(all_0_11_11) = v0 & k1_zfmisc_1(v0) = v1 & ( ~ m1_subset_1(all_0_5_5, v1) | m1_subset_1(all_0_4_4, v1)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (94) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (155) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v1_xboole_0(v1) & v2_tops_1(v1, all_0_11_11) & v5_membered(v1) & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & v1_membered(v1) & m1_subset_1(v1, v0))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (75) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (156) ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_11_11)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (77) with all_0_6_6, all_0_7_7, all_0_11_11 and discharging atoms k6_pre_topc(all_0_11_11, all_0_7_7) = all_0_6_6, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (157) v4_pre_topc(all_0_6_6, all_0_11_11) | ? [v0] : ? [v1] : (u1_struct_0(all_0_11_11) = v0 & k1_zfmisc_1(v0) = v1 & ~ m1_subset_1(all_0_7_7, v1))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (137) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields:
% 7.90/2.49 | (158) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v3_pre_topc(v1, all_0_11_11) & v4_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (129) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields:
% 7.90/2.49 | (159) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v4_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0) & ~ v1_xboole_0(v1))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (69) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), ~ v3_struct_0(all_0_11_11), yields:
% 7.90/2.49 | (160) ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (k3_tex_4(all_0_11_11, v3) = v4) | ~ (k5_subset_1(all_0_10_10, v1, v2) = v3) | ~ v4_pre_topc(v2, all_0_11_11) | ~ v1_tsp_2(v1, all_0_11_11) | ~ m1_subset_1(v2, v0) | ~ m1_subset_1(v1, v0)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (119) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (161) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v1_xboole_0(v1) & v3_pre_topc(v1, all_0_11_11) & v4_pre_topc(v1, all_0_11_11) & v2_tops_1(v1, all_0_11_11) & v3_tops_1(v1, all_0_11_11) & v5_membered(v1) & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & v1_membered(v1) & m1_subset_1(v1, v0))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (53) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (162) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v3_pre_topc(v1, all_0_11_11) & v4_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (16) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (163) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v3_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (68) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (164) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_10_10) = v0 & v4_pre_topc(v1, all_0_11_11) & m1_subset_1(v1, v0))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (58) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (165) ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v3_pre_topc(v1, all_0_11_11)) & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v4_pre_topc(v1, all_0_11_11)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (111) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (166) ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v3_tops_1(v1, all_0_11_11)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (110) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (167) ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 & ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) | ~ v3_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v1_xboole_0(v1)) & ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) | ~ v3_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v4_pre_topc(v1, all_0_11_11)) & ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) | ~ v3_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_11_11)) & ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) | ~ v3_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v5_membered(v1)) & ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) | ~ v3_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v4_membered(v1)) & ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) | ~ v3_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v3_membered(v1)) & ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) | ~ v3_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v2_membered(v1)) & ! [v1] : ( ~ v3_pre_topc(v1, all_0_11_11) | ~ v3_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v1_membered(v1)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (41) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (168) ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 & ! [v1] : ( ~ v4_pre_topc(v1, all_0_11_11) | ~ v2_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v3_tops_1(v1, all_0_11_11)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating formula (85) with all_0_10_10, all_0_11_11 and discharging atoms u1_struct_0(all_0_11_11) = all_0_10_10, l1_pre_topc(all_0_11_11), v2_pre_topc(all_0_11_11), yields:
% 7.90/2.49 | (169) ? [v0] : (k1_zfmisc_1(all_0_10_10) = v0 & ! [v1] : ( ~ v3_tops_1(v1, all_0_11_11) | ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_11_11)))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating (169) with all_15_0_16 yields:
% 7.90/2.49 | (170) k1_zfmisc_1(all_0_10_10) = all_15_0_16 & ! [v0] : ( ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_15_0_16) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.49 |
% 7.90/2.49 | Applying alpha-rule on (170) yields:
% 7.90/2.49 | (171) k1_zfmisc_1(all_0_10_10) = all_15_0_16
% 7.90/2.49 | (172) ! [v0] : ( ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_15_0_16) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating (164) with all_18_0_17, all_18_1_18 yields:
% 7.90/2.49 | (173) k1_zfmisc_1(all_0_10_10) = all_18_1_18 & v4_pre_topc(all_18_0_17, all_0_11_11) & m1_subset_1(all_18_0_17, all_18_1_18)
% 7.90/2.49 |
% 7.90/2.49 | Applying alpha-rule on (173) yields:
% 7.90/2.49 | (174) k1_zfmisc_1(all_0_10_10) = all_18_1_18
% 7.90/2.49 | (175) v4_pre_topc(all_18_0_17, all_0_11_11)
% 7.90/2.49 | (176) m1_subset_1(all_18_0_17, all_18_1_18)
% 7.90/2.49 |
% 7.90/2.49 | Instantiating (163) with all_20_0_19, all_20_1_20 yields:
% 7.90/2.49 | (177) k1_zfmisc_1(all_0_10_10) = all_20_1_20 & v3_pre_topc(all_20_0_19, all_0_11_11) & m1_subset_1(all_20_0_19, all_20_1_20)
% 7.90/2.49 |
% 7.90/2.49 | Applying alpha-rule on (177) yields:
% 7.90/2.49 | (178) k1_zfmisc_1(all_0_10_10) = all_20_1_20
% 7.90/2.49 | (179) v3_pre_topc(all_20_0_19, all_0_11_11)
% 7.90/2.49 | (180) m1_subset_1(all_20_0_19, all_20_1_20)
% 7.90/2.49 |
% 7.90/2.49 | Instantiating (160) with all_22_0_21 yields:
% 7.90/2.49 | (181) k1_zfmisc_1(all_0_10_10) = all_22_0_21 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (k3_tex_4(all_0_11_11, v2) = v3) | ~ (k5_subset_1(all_0_10_10, v0, v1) = v2) | ~ v4_pre_topc(v1, all_0_11_11) | ~ v1_tsp_2(v0, all_0_11_11) | ~ m1_subset_1(v1, all_22_0_21) | ~ m1_subset_1(v0, all_22_0_21))
% 7.90/2.49 |
% 7.90/2.49 | Applying alpha-rule on (181) yields:
% 7.90/2.49 | (182) k1_zfmisc_1(all_0_10_10) = all_22_0_21
% 7.90/2.49 | (183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (k3_tex_4(all_0_11_11, v2) = v3) | ~ (k5_subset_1(all_0_10_10, v0, v1) = v2) | ~ v4_pre_topc(v1, all_0_11_11) | ~ v1_tsp_2(v0, all_0_11_11) | ~ m1_subset_1(v1, all_22_0_21) | ~ m1_subset_1(v0, all_22_0_21))
% 7.90/2.49 |
% 7.90/2.49 | Instantiating (158) with all_25_0_22, all_25_1_23 yields:
% 7.90/2.49 | (184) k1_zfmisc_1(all_0_10_10) = all_25_1_23 & v3_pre_topc(all_25_0_22, all_0_11_11) & v4_pre_topc(all_25_0_22, all_0_11_11) & m1_subset_1(all_25_0_22, all_25_1_23) & ~ v1_xboole_0(all_25_0_22)
% 7.90/2.49 |
% 7.90/2.49 | Applying alpha-rule on (184) yields:
% 7.90/2.49 | (185) v4_pre_topc(all_25_0_22, all_0_11_11)
% 7.90/2.49 | (186) k1_zfmisc_1(all_0_10_10) = all_25_1_23
% 7.90/2.49 | (187) ~ v1_xboole_0(all_25_0_22)
% 7.90/2.49 | (188) v3_pre_topc(all_25_0_22, all_0_11_11)
% 7.90/2.49 | (189) m1_subset_1(all_25_0_22, all_25_1_23)
% 7.90/2.49 |
% 7.90/2.49 | Instantiating (159) with all_27_0_24, all_27_1_25 yields:
% 7.90/2.49 | (190) k1_zfmisc_1(all_0_10_10) = all_27_1_25 & v4_pre_topc(all_27_0_24, all_0_11_11) & m1_subset_1(all_27_0_24, all_27_1_25) & ~ v1_xboole_0(all_27_0_24)
% 7.90/2.49 |
% 7.90/2.49 | Applying alpha-rule on (190) yields:
% 7.90/2.49 | (191) k1_zfmisc_1(all_0_10_10) = all_27_1_25
% 7.90/2.50 | (192) v4_pre_topc(all_27_0_24, all_0_11_11)
% 7.90/2.50 | (193) m1_subset_1(all_27_0_24, all_27_1_25)
% 7.90/2.50 | (194) ~ v1_xboole_0(all_27_0_24)
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (168) with all_29_0_26 yields:
% 7.90/2.50 | (195) k1_zfmisc_1(all_0_10_10) = all_29_0_26 & ! [v0] : ( ~ v4_pre_topc(v0, all_0_11_11) | ~ v2_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_29_0_26) | v3_tops_1(v0, all_0_11_11))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (195) yields:
% 7.90/2.50 | (196) k1_zfmisc_1(all_0_10_10) = all_29_0_26
% 7.90/2.50 | (197) ! [v0] : ( ~ v4_pre_topc(v0, all_0_11_11) | ~ v2_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_29_0_26) | v3_tops_1(v0, all_0_11_11))
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (167) with all_32_0_27 yields:
% 7.90/2.50 | (198) k1_zfmisc_1(all_0_10_10) = all_32_0_27 & ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v1_xboole_0(v0)) & ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v4_pre_topc(v0, all_0_11_11)) & ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v2_tops_1(v0, all_0_11_11)) & ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v5_membered(v0)) & ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v4_membered(v0)) & ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v3_membered(v0)) & ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v2_membered(v0)) & ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v1_membered(v0))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (198) yields:
% 7.90/2.50 | (199) ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v5_membered(v0))
% 7.90/2.50 | (200) ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v2_membered(v0))
% 7.90/2.50 | (201) ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v1_membered(v0))
% 7.90/2.50 | (202) ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v1_xboole_0(v0))
% 7.90/2.50 | (203) ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.50 | (204) ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v4_membered(v0))
% 7.90/2.50 | (205) ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v3_membered(v0))
% 7.90/2.50 | (206) k1_zfmisc_1(all_0_10_10) = all_32_0_27
% 7.90/2.50 | (207) ! [v0] : ( ~ v3_pre_topc(v0, all_0_11_11) | ~ v3_tops_1(v0, all_0_11_11) | ~ m1_subset_1(v0, all_32_0_27) | v4_pre_topc(v0, all_0_11_11))
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (155) with all_35_0_28, all_35_1_29 yields:
% 7.90/2.50 | (208) k1_zfmisc_1(all_0_10_10) = all_35_1_29 & v1_xboole_0(all_35_0_28) & v2_tops_1(all_35_0_28, all_0_11_11) & v5_membered(all_35_0_28) & v4_membered(all_35_0_28) & v3_membered(all_35_0_28) & v2_membered(all_35_0_28) & v1_membered(all_35_0_28) & m1_subset_1(all_35_0_28, all_35_1_29)
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (208) yields:
% 7.90/2.50 | (209) v5_membered(all_35_0_28)
% 7.90/2.50 | (210) v1_xboole_0(all_35_0_28)
% 7.90/2.50 | (211) m1_subset_1(all_35_0_28, all_35_1_29)
% 7.90/2.50 | (212) v3_membered(all_35_0_28)
% 7.90/2.50 | (213) v2_membered(all_35_0_28)
% 7.90/2.50 | (214) v4_membered(all_35_0_28)
% 7.90/2.50 | (215) v1_membered(all_35_0_28)
% 7.90/2.50 | (216) k1_zfmisc_1(all_0_10_10) = all_35_1_29
% 7.90/2.50 | (217) v2_tops_1(all_35_0_28, all_0_11_11)
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (152) with all_39_0_31 yields:
% 7.90/2.50 | (218) k1_zfmisc_1(all_0_10_10) = all_39_0_31 & ( ~ m1_subset_1(all_0_6_6, all_39_0_31) | ~ m1_subset_1(all_0_8_8, all_39_0_31) | m1_subset_1(all_0_5_5, all_39_0_31))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (218) yields:
% 7.90/2.50 | (219) k1_zfmisc_1(all_0_10_10) = all_39_0_31
% 7.90/2.50 | (220) ~ m1_subset_1(all_0_6_6, all_39_0_31) | ~ m1_subset_1(all_0_8_8, all_39_0_31) | m1_subset_1(all_0_5_5, all_39_0_31)
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (154) with all_41_0_32, all_41_1_33 yields:
% 7.90/2.50 | (221) u1_struct_0(all_0_11_11) = all_41_1_33 & k1_zfmisc_1(all_41_1_33) = all_41_0_32 & ( ~ m1_subset_1(all_0_5_5, all_41_0_32) | m1_subset_1(all_0_4_4, all_41_0_32))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (221) yields:
% 7.90/2.50 | (222) u1_struct_0(all_0_11_11) = all_41_1_33
% 7.90/2.50 | (223) k1_zfmisc_1(all_41_1_33) = all_41_0_32
% 7.90/2.50 | (224) ~ m1_subset_1(all_0_5_5, all_41_0_32) | m1_subset_1(all_0_4_4, all_41_0_32)
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (166) with all_43_0_34 yields:
% 7.90/2.50 | (225) k1_zfmisc_1(all_0_10_10) = all_43_0_34 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_43_0_34) | v3_tops_1(v0, all_0_11_11))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (225) yields:
% 7.90/2.50 | (226) k1_zfmisc_1(all_0_10_10) = all_43_0_34
% 7.90/2.50 | (227) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_43_0_34) | v3_tops_1(v0, all_0_11_11))
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (165) with all_46_0_35 yields:
% 7.90/2.50 | (228) k1_zfmisc_1(all_0_10_10) = all_46_0_35 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_46_0_35) | v3_pre_topc(v0, all_0_11_11)) & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_46_0_35) | v4_pre_topc(v0, all_0_11_11))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (228) yields:
% 7.90/2.50 | (229) k1_zfmisc_1(all_0_10_10) = all_46_0_35
% 7.90/2.50 | (230) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_46_0_35) | v3_pre_topc(v0, all_0_11_11))
% 7.90/2.50 | (231) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_46_0_35) | v4_pre_topc(v0, all_0_11_11))
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (151) with all_49_0_36, all_49_1_37 yields:
% 7.90/2.50 | (232) k3_xboole_0(all_0_8_8, all_0_6_6) = all_49_0_36 & k1_zfmisc_1(all_0_10_10) = all_49_1_37 & (all_49_0_36 = all_0_5_5 | ~ m1_subset_1(all_0_6_6, all_49_1_37) | ~ m1_subset_1(all_0_8_8, all_49_1_37))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (232) yields:
% 7.90/2.50 | (233) k3_xboole_0(all_0_8_8, all_0_6_6) = all_49_0_36
% 7.90/2.50 | (234) k1_zfmisc_1(all_0_10_10) = all_49_1_37
% 7.90/2.50 | (235) all_49_0_36 = all_0_5_5 | ~ m1_subset_1(all_0_6_6, all_49_1_37) | ~ m1_subset_1(all_0_8_8, all_49_1_37)
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (156) with all_51_0_38 yields:
% 7.90/2.50 | (236) k1_zfmisc_1(all_0_10_10) = all_51_0_38 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_51_0_38) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (236) yields:
% 7.90/2.50 | (237) k1_zfmisc_1(all_0_10_10) = all_51_0_38
% 7.90/2.50 | (238) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_51_0_38) | v2_tops_1(v0, all_0_11_11))
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (153) with all_54_0_39, all_54_1_40 yields:
% 7.90/2.50 | (239) u1_struct_0(all_0_11_11) = all_54_1_40 & k1_zfmisc_1(all_54_1_40) = all_54_0_39 & ( ~ m1_subset_1(all_0_7_7, all_54_0_39) | m1_subset_1(all_0_6_6, all_54_0_39))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (239) yields:
% 7.90/2.50 | (240) u1_struct_0(all_0_11_11) = all_54_1_40
% 7.90/2.50 | (241) k1_zfmisc_1(all_54_1_40) = all_54_0_39
% 7.90/2.50 | (242) ~ m1_subset_1(all_0_7_7, all_54_0_39) | m1_subset_1(all_0_6_6, all_54_0_39)
% 7.90/2.50 |
% 7.90/2.50 | Instantiating (150) with all_56_0_41, all_56_1_42 yields:
% 7.90/2.50 | (243) k5_subset_1(all_0_10_10, all_0_6_6, all_0_8_8) = all_56_0_41 & k1_zfmisc_1(all_0_10_10) = all_56_1_42 & (all_56_0_41 = all_0_5_5 | ~ m1_subset_1(all_0_6_6, all_56_1_42) | ~ m1_subset_1(all_0_8_8, all_56_1_42))
% 7.90/2.50 |
% 7.90/2.50 | Applying alpha-rule on (243) yields:
% 7.90/2.50 | (244) k5_subset_1(all_0_10_10, all_0_6_6, all_0_8_8) = all_56_0_41
% 7.90/2.50 | (245) k1_zfmisc_1(all_0_10_10) = all_56_1_42
% 8.30/2.50 | (246) all_56_0_41 = all_0_5_5 | ~ m1_subset_1(all_0_6_6, all_56_1_42) | ~ m1_subset_1(all_0_8_8, all_56_1_42)
% 8.30/2.50 |
% 8.30/2.50 | Instantiating (162) with all_58_0_43, all_58_1_44 yields:
% 8.30/2.50 | (247) k1_zfmisc_1(all_0_10_10) = all_58_1_44 & v3_pre_topc(all_58_0_43, all_0_11_11) & v4_pre_topc(all_58_0_43, all_0_11_11) & m1_subset_1(all_58_0_43, all_58_1_44)
% 8.30/2.50 |
% 8.30/2.50 | Applying alpha-rule on (247) yields:
% 8.30/2.50 | (248) k1_zfmisc_1(all_0_10_10) = all_58_1_44
% 8.30/2.50 | (249) v3_pre_topc(all_58_0_43, all_0_11_11)
% 8.30/2.50 | (250) v4_pre_topc(all_58_0_43, all_0_11_11)
% 8.30/2.50 | (251) m1_subset_1(all_58_0_43, all_58_1_44)
% 8.30/2.50 |
% 8.30/2.50 | Instantiating (161) with all_60_0_45, all_60_1_46 yields:
% 8.30/2.50 | (252) k1_zfmisc_1(all_0_10_10) = all_60_1_46 & v1_xboole_0(all_60_0_45) & v3_pre_topc(all_60_0_45, all_0_11_11) & v4_pre_topc(all_60_0_45, all_0_11_11) & v2_tops_1(all_60_0_45, all_0_11_11) & v3_tops_1(all_60_0_45, all_0_11_11) & v5_membered(all_60_0_45) & v4_membered(all_60_0_45) & v3_membered(all_60_0_45) & v2_membered(all_60_0_45) & v1_membered(all_60_0_45) & m1_subset_1(all_60_0_45, all_60_1_46)
% 8.30/2.50 |
% 8.30/2.50 | Applying alpha-rule on (252) yields:
% 8.30/2.50 | (253) v3_tops_1(all_60_0_45, all_0_11_11)
% 8.30/2.50 | (254) m1_subset_1(all_60_0_45, all_60_1_46)
% 8.30/2.50 | (255) v1_membered(all_60_0_45)
% 8.30/2.50 | (256) k1_zfmisc_1(all_0_10_10) = all_60_1_46
% 8.30/2.50 | (257) v2_tops_1(all_60_0_45, all_0_11_11)
% 8.30/2.50 | (258) v1_xboole_0(all_60_0_45)
% 8.30/2.50 | (259) v3_pre_topc(all_60_0_45, all_0_11_11)
% 8.30/2.50 | (260) v3_membered(all_60_0_45)
% 8.30/2.50 | (261) v2_membered(all_60_0_45)
% 8.30/2.50 | (262) v4_pre_topc(all_60_0_45, all_0_11_11)
% 8.30/2.50 | (263) v5_membered(all_60_0_45)
% 8.30/2.50 | (264) v4_membered(all_60_0_45)
% 8.30/2.50 |
% 8.30/2.50 | Instantiating formula (4) with all_0_11_11, all_54_1_40, all_0_10_10 and discharging atoms u1_struct_0(all_0_11_11) = all_54_1_40, u1_struct_0(all_0_11_11) = all_0_10_10, yields:
% 8.30/2.50 | (265) all_54_1_40 = all_0_10_10
% 8.30/2.50 |
% 8.30/2.50 | Instantiating formula (4) with all_0_11_11, all_41_1_33, all_54_1_40 and discharging atoms u1_struct_0(all_0_11_11) = all_54_1_40, u1_struct_0(all_0_11_11) = all_41_1_33, yields:
% 8.30/2.50 | (266) all_54_1_40 = all_41_1_33
% 8.30/2.50 |
% 8.30/2.50 | Instantiating formula (43) with all_0_10_10, all_51_0_38, all_56_1_42 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_56_1_42, k1_zfmisc_1(all_0_10_10) = all_51_0_38, yields:
% 8.30/2.50 | (267) all_56_1_42 = all_51_0_38
% 8.30/2.50 |
% 8.30/2.50 | Instantiating formula (43) with all_0_10_10, all_49_1_37, all_58_1_44 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_58_1_44, k1_zfmisc_1(all_0_10_10) = all_49_1_37, yields:
% 8.30/2.50 | (268) all_58_1_44 = all_49_1_37
% 8.30/2.50 |
% 8.30/2.50 | Instantiating formula (43) with all_0_10_10, all_46_0_35, all_49_1_37 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_49_1_37, k1_zfmisc_1(all_0_10_10) = all_46_0_35, yields:
% 8.30/2.50 | (269) all_49_1_37 = all_46_0_35
% 8.30/2.50 |
% 8.30/2.50 | Instantiating formula (43) with all_0_10_10, all_43_0_34, all_46_0_35 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_46_0_35, k1_zfmisc_1(all_0_10_10) = all_43_0_34, yields:
% 8.30/2.50 | (270) all_46_0_35 = all_43_0_34
% 8.30/2.50 |
% 8.30/2.50 | Instantiating formula (43) with all_0_10_10, all_39_0_31, all_0_9_9 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_39_0_31, k1_zfmisc_1(all_0_10_10) = all_0_9_9, yields:
% 8.30/2.50 | (271) all_39_0_31 = all_0_9_9
% 8.30/2.50 |
% 8.30/2.50 | Instantiating formula (43) with all_0_10_10, all_35_1_29, all_60_1_46 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_60_1_46, k1_zfmisc_1(all_0_10_10) = all_35_1_29, yields:
% 8.30/2.50 | (272) all_60_1_46 = all_35_1_29
% 8.30/2.50 |
% 8.30/2.50 | Instantiating formula (43) with all_0_10_10, all_35_1_29, all_43_0_34 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_43_0_34, k1_zfmisc_1(all_0_10_10) = all_35_1_29, yields:
% 8.30/2.51 | (273) all_43_0_34 = all_35_1_29
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_32_0_27, all_58_1_44 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_58_1_44, k1_zfmisc_1(all_0_10_10) = all_32_0_27, yields:
% 8.30/2.51 | (274) all_58_1_44 = all_32_0_27
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_29_0_26, all_51_0_38 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_51_0_38, k1_zfmisc_1(all_0_10_10) = all_29_0_26, yields:
% 8.30/2.51 | (275) all_51_0_38 = all_29_0_26
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_27_1_25, all_39_0_31 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_39_0_31, k1_zfmisc_1(all_0_10_10) = all_27_1_25, yields:
% 8.30/2.51 | (276) all_39_0_31 = all_27_1_25
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_27_1_25, all_35_1_29 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_35_1_29, k1_zfmisc_1(all_0_10_10) = all_27_1_25, yields:
% 8.30/2.51 | (277) all_35_1_29 = all_27_1_25
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_25_1_23, all_39_0_31 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_39_0_31, k1_zfmisc_1(all_0_10_10) = all_25_1_23, yields:
% 8.30/2.51 | (278) all_39_0_31 = all_25_1_23
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_22_0_21, all_60_1_46 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_60_1_46, k1_zfmisc_1(all_0_10_10) = all_22_0_21, yields:
% 8.30/2.51 | (279) all_60_1_46 = all_22_0_21
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_20_1_20, all_29_0_26 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_29_0_26, k1_zfmisc_1(all_0_10_10) = all_20_1_20, yields:
% 8.30/2.51 | (280) all_29_0_26 = all_20_1_20
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_20_1_20, all_27_1_25 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_27_1_25, k1_zfmisc_1(all_0_10_10) = all_20_1_20, yields:
% 8.30/2.51 | (281) all_27_1_25 = all_20_1_20
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_18_1_18, all_56_1_42 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_56_1_42, k1_zfmisc_1(all_0_10_10) = all_18_1_18, yields:
% 8.30/2.51 | (282) all_56_1_42 = all_18_1_18
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_15_0_16, all_20_1_20 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_20_1_20, k1_zfmisc_1(all_0_10_10) = all_15_0_16, yields:
% 8.30/2.51 | (283) all_20_1_20 = all_15_0_16
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (272,279) yields a new equation:
% 8.30/2.51 | (284) all_35_1_29 = all_22_0_21
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 284 yields:
% 8.30/2.51 | (285) all_35_1_29 = all_22_0_21
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (268,274) yields a new equation:
% 8.30/2.51 | (286) all_49_1_37 = all_32_0_27
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 286 yields:
% 8.30/2.51 | (287) all_49_1_37 = all_32_0_27
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (267,282) yields a new equation:
% 8.30/2.51 | (288) all_51_0_38 = all_18_1_18
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 288 yields:
% 8.30/2.51 | (289) all_51_0_38 = all_18_1_18
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (265,266) yields a new equation:
% 8.30/2.51 | (290) all_41_1_33 = all_0_10_10
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (275,289) yields a new equation:
% 8.30/2.51 | (291) all_29_0_26 = all_18_1_18
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 291 yields:
% 8.30/2.51 | (292) all_29_0_26 = all_18_1_18
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (269,287) yields a new equation:
% 8.30/2.51 | (293) all_46_0_35 = all_32_0_27
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 293 yields:
% 8.30/2.51 | (294) all_46_0_35 = all_32_0_27
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (270,294) yields a new equation:
% 8.30/2.51 | (295) all_43_0_34 = all_32_0_27
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 295 yields:
% 8.30/2.51 | (296) all_43_0_34 = all_32_0_27
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (273,296) yields a new equation:
% 8.30/2.51 | (297) all_35_1_29 = all_32_0_27
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 297 yields:
% 8.30/2.51 | (298) all_35_1_29 = all_32_0_27
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (276,278) yields a new equation:
% 8.30/2.51 | (299) all_27_1_25 = all_25_1_23
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 299 yields:
% 8.30/2.51 | (300) all_27_1_25 = all_25_1_23
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (271,278) yields a new equation:
% 8.30/2.51 | (301) all_25_1_23 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (277,298) yields a new equation:
% 8.30/2.51 | (302) all_32_0_27 = all_27_1_25
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (285,298) yields a new equation:
% 8.30/2.51 | (303) all_32_0_27 = all_22_0_21
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (302,303) yields a new equation:
% 8.30/2.51 | (304) all_27_1_25 = all_22_0_21
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 304 yields:
% 8.30/2.51 | (305) all_27_1_25 = all_22_0_21
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (280,292) yields a new equation:
% 8.30/2.51 | (306) all_20_1_20 = all_18_1_18
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 306 yields:
% 8.30/2.51 | (307) all_20_1_20 = all_18_1_18
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (281,305) yields a new equation:
% 8.30/2.51 | (308) all_22_0_21 = all_20_1_20
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (300,305) yields a new equation:
% 8.30/2.51 | (309) all_25_1_23 = all_22_0_21
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 309 yields:
% 8.30/2.51 | (310) all_25_1_23 = all_22_0_21
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (310,301) yields a new equation:
% 8.30/2.51 | (311) all_22_0_21 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 311 yields:
% 8.30/2.51 | (312) all_22_0_21 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (308,312) yields a new equation:
% 8.30/2.51 | (313) all_20_1_20 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 313 yields:
% 8.30/2.51 | (314) all_20_1_20 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (283,307) yields a new equation:
% 8.30/2.51 | (315) all_18_1_18 = all_15_0_16
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (314,307) yields a new equation:
% 8.30/2.51 | (316) all_18_1_18 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (315,316) yields a new equation:
% 8.30/2.51 | (317) all_15_0_16 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Simplifying 317 yields:
% 8.30/2.51 | (318) all_15_0_16 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (312,303) yields a new equation:
% 8.30/2.51 | (319) all_32_0_27 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (301,278) yields a new equation:
% 8.30/2.51 | (271) all_39_0_31 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (319,287) yields a new equation:
% 8.30/2.51 | (321) all_49_1_37 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (290,266) yields a new equation:
% 8.30/2.51 | (265) all_54_1_40 = all_0_10_10
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (316,282) yields a new equation:
% 8.30/2.51 | (323) all_56_1_42 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | From (290) and (222) follows:
% 8.30/2.51 | (109) u1_struct_0(all_0_11_11) = all_0_10_10
% 8.30/2.51 |
% 8.30/2.51 | From (265) and (241) follows:
% 8.30/2.51 | (325) k1_zfmisc_1(all_0_10_10) = all_54_0_39
% 8.30/2.51 |
% 8.30/2.51 | From (290) and (223) follows:
% 8.30/2.51 | (326) k1_zfmisc_1(all_0_10_10) = all_41_0_32
% 8.30/2.51 |
% 8.30/2.51 | From (318) and (171) follows:
% 8.30/2.51 | (84) k1_zfmisc_1(all_0_10_10) = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_54_0_39, all_0_9_9 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_54_0_39, k1_zfmisc_1(all_0_10_10) = all_0_9_9, yields:
% 8.30/2.51 | (328) all_54_0_39 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Instantiating formula (43) with all_0_10_10, all_41_0_32, all_54_0_39 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_54_0_39, k1_zfmisc_1(all_0_10_10) = all_41_0_32, yields:
% 8.30/2.51 | (329) all_54_0_39 = all_41_0_32
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (328,329) yields a new equation:
% 8.30/2.51 | (330) all_41_0_32 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | Combining equations (330,329) yields a new equation:
% 8.30/2.51 | (328) all_54_0_39 = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 | From (330) and (326) follows:
% 8.30/2.51 | (84) k1_zfmisc_1(all_0_10_10) = all_0_9_9
% 8.30/2.51 |
% 8.30/2.51 +-Applying beta-rule and splitting (157), into two cases.
% 8.30/2.51 |-Branch one:
% 8.30/2.51 | (333) v4_pre_topc(all_0_6_6, all_0_11_11)
% 8.30/2.51 |
% 8.30/2.51 +-Applying beta-rule and splitting (242), into two cases.
% 8.30/2.51 |-Branch one:
% 8.30/2.51 | (334) ~ m1_subset_1(all_0_7_7, all_54_0_39)
% 8.30/2.51 |
% 8.30/2.51 | From (328) and (334) follows:
% 8.30/2.51 | (335) ~ m1_subset_1(all_0_7_7, all_0_9_9)
% 8.30/2.51 |
% 8.30/2.51 | Using (13) and (335) yields:
% 8.30/2.51 | (336) $false
% 8.30/2.51 |
% 8.30/2.51 |-The branch is then unsatisfiable
% 8.30/2.51 |-Branch two:
% 8.30/2.51 | (337) m1_subset_1(all_0_7_7, all_54_0_39)
% 8.30/2.51 | (338) m1_subset_1(all_0_6_6, all_54_0_39)
% 8.30/2.51 |
% 8.30/2.51 | From (328) and (338) follows:
% 8.30/2.51 | (339) m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.51 |
% 8.30/2.51 +-Applying beta-rule and splitting (220), into two cases.
% 8.30/2.51 |-Branch one:
% 8.30/2.51 | (340) ~ m1_subset_1(all_0_6_6, all_39_0_31)
% 8.30/2.51 |
% 8.30/2.51 | From (271) and (340) follows:
% 8.30/2.51 | (341) ~ m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.51 |
% 8.30/2.51 | Using (339) and (341) yields:
% 8.30/2.51 | (336) $false
% 8.30/2.51 |
% 8.30/2.51 |-The branch is then unsatisfiable
% 8.30/2.51 |-Branch two:
% 8.30/2.51 | (343) m1_subset_1(all_0_6_6, all_39_0_31)
% 8.30/2.52 | (344) ~ m1_subset_1(all_0_8_8, all_39_0_31) | m1_subset_1(all_0_5_5, all_39_0_31)
% 8.30/2.52 |
% 8.30/2.52 | From (271) and (343) follows:
% 8.30/2.52 | (339) m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 +-Applying beta-rule and splitting (235), into two cases.
% 8.30/2.52 |-Branch one:
% 8.30/2.52 | (346) ~ m1_subset_1(all_0_6_6, all_49_1_37)
% 8.30/2.52 |
% 8.30/2.52 | From (321) and (346) follows:
% 8.30/2.52 | (341) ~ m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Using (339) and (341) yields:
% 8.30/2.52 | (336) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 |-Branch two:
% 8.30/2.52 | (349) m1_subset_1(all_0_6_6, all_49_1_37)
% 8.30/2.52 | (350) all_49_0_36 = all_0_5_5 | ~ m1_subset_1(all_0_8_8, all_49_1_37)
% 8.30/2.52 |
% 8.30/2.52 | From (321) and (349) follows:
% 8.30/2.52 | (339) m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 +-Applying beta-rule and splitting (246), into two cases.
% 8.30/2.52 |-Branch one:
% 8.30/2.52 | (352) ~ m1_subset_1(all_0_6_6, all_56_1_42)
% 8.30/2.52 |
% 8.30/2.52 | From (323) and (352) follows:
% 8.30/2.52 | (341) ~ m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Using (339) and (341) yields:
% 8.30/2.52 | (336) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 |-Branch two:
% 8.30/2.52 | (355) m1_subset_1(all_0_6_6, all_56_1_42)
% 8.30/2.52 | (356) all_56_0_41 = all_0_5_5 | ~ m1_subset_1(all_0_8_8, all_56_1_42)
% 8.30/2.52 |
% 8.30/2.52 | From (323) and (355) follows:
% 8.30/2.52 | (339) m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 +-Applying beta-rule and splitting (356), into two cases.
% 8.30/2.52 |-Branch one:
% 8.30/2.52 | (358) ~ m1_subset_1(all_0_8_8, all_56_1_42)
% 8.30/2.52 |
% 8.30/2.52 | From (323) and (358) follows:
% 8.30/2.52 | (359) ~ m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Using (34) and (359) yields:
% 8.30/2.52 | (336) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 |-Branch two:
% 8.30/2.52 | (361) m1_subset_1(all_0_8_8, all_56_1_42)
% 8.30/2.52 | (362) all_56_0_41 = all_0_5_5
% 8.30/2.52 |
% 8.30/2.52 | From (323) and (361) follows:
% 8.30/2.52 | (34) m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 +-Applying beta-rule and splitting (350), into two cases.
% 8.30/2.52 |-Branch one:
% 8.30/2.52 | (364) ~ m1_subset_1(all_0_8_8, all_49_1_37)
% 8.30/2.52 |
% 8.30/2.52 | From (321) and (364) follows:
% 8.30/2.52 | (359) ~ m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Using (34) and (359) yields:
% 8.30/2.52 | (336) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 |-Branch two:
% 8.30/2.52 | (367) m1_subset_1(all_0_8_8, all_49_1_37)
% 8.30/2.52 | (368) all_49_0_36 = all_0_5_5
% 8.30/2.52 |
% 8.30/2.52 | From (321) and (367) follows:
% 8.30/2.52 | (34) m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 +-Applying beta-rule and splitting (344), into two cases.
% 8.30/2.52 |-Branch one:
% 8.30/2.52 | (370) ~ m1_subset_1(all_0_8_8, all_39_0_31)
% 8.30/2.52 |
% 8.30/2.52 | From (271) and (370) follows:
% 8.30/2.52 | (359) ~ m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Using (34) and (359) yields:
% 8.30/2.52 | (336) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 |-Branch two:
% 8.30/2.52 | (373) m1_subset_1(all_0_8_8, all_39_0_31)
% 8.30/2.52 | (374) m1_subset_1(all_0_5_5, all_39_0_31)
% 8.30/2.52 |
% 8.30/2.52 | From (271) and (373) follows:
% 8.30/2.52 | (34) m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Instantiating formula (183) with all_0_4_4, all_0_5_5, all_0_6_6, all_0_8_8 and discharging atoms k3_tex_4(all_0_11_11, all_0_5_5) = all_0_4_4, k5_subset_1(all_0_10_10, all_0_8_8, all_0_6_6) = all_0_5_5, v4_pre_topc(all_0_6_6, all_0_11_11), v1_tsp_2(all_0_8_8, all_0_11_11), yields:
% 8.30/2.52 | (376) all_0_4_4 = all_0_6_6 | ~ m1_subset_1(all_0_6_6, all_22_0_21) | ~ m1_subset_1(all_0_8_8, all_22_0_21)
% 8.30/2.52 |
% 8.30/2.52 +-Applying beta-rule and splitting (376), into two cases.
% 8.30/2.52 |-Branch one:
% 8.30/2.52 | (377) ~ m1_subset_1(all_0_6_6, all_22_0_21)
% 8.30/2.52 |
% 8.30/2.52 | From (312) and (377) follows:
% 8.30/2.52 | (341) ~ m1_subset_1(all_0_6_6, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Using (339) and (341) yields:
% 8.30/2.52 | (336) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 |-Branch two:
% 8.30/2.52 | (380) m1_subset_1(all_0_6_6, all_22_0_21)
% 8.30/2.52 | (381) all_0_4_4 = all_0_6_6 | ~ m1_subset_1(all_0_8_8, all_22_0_21)
% 8.30/2.52 |
% 8.30/2.52 +-Applying beta-rule and splitting (381), into two cases.
% 8.30/2.52 |-Branch one:
% 8.30/2.52 | (382) ~ m1_subset_1(all_0_8_8, all_22_0_21)
% 8.30/2.52 |
% 8.30/2.52 | From (312) and (382) follows:
% 8.30/2.52 | (359) ~ m1_subset_1(all_0_8_8, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Using (34) and (359) yields:
% 8.30/2.52 | (336) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 |-Branch two:
% 8.30/2.52 | (385) m1_subset_1(all_0_8_8, all_22_0_21)
% 8.30/2.52 | (386) all_0_4_4 = all_0_6_6
% 8.30/2.52 |
% 8.30/2.52 | Equations (386) can reduce 45 to:
% 8.30/2.52 | (387) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 |-Branch two:
% 8.30/2.52 | (388) ~ v4_pre_topc(all_0_6_6, all_0_11_11)
% 8.30/2.52 | (389) ? [v0] : ? [v1] : (u1_struct_0(all_0_11_11) = v0 & k1_zfmisc_1(v0) = v1 & ~ m1_subset_1(all_0_7_7, v1))
% 8.30/2.52 |
% 8.30/2.52 | Instantiating (389) with all_74_0_51, all_74_1_52 yields:
% 8.30/2.52 | (390) u1_struct_0(all_0_11_11) = all_74_1_52 & k1_zfmisc_1(all_74_1_52) = all_74_0_51 & ~ m1_subset_1(all_0_7_7, all_74_0_51)
% 8.30/2.52 |
% 8.30/2.52 | Applying alpha-rule on (390) yields:
% 8.30/2.52 | (391) u1_struct_0(all_0_11_11) = all_74_1_52
% 8.30/2.52 | (392) k1_zfmisc_1(all_74_1_52) = all_74_0_51
% 8.30/2.52 | (393) ~ m1_subset_1(all_0_7_7, all_74_0_51)
% 8.30/2.52 |
% 8.30/2.52 +-Applying beta-rule and splitting (242), into two cases.
% 8.30/2.52 |-Branch one:
% 8.30/2.52 | (334) ~ m1_subset_1(all_0_7_7, all_54_0_39)
% 8.30/2.52 |
% 8.30/2.52 | From (328) and (334) follows:
% 8.30/2.52 | (335) ~ m1_subset_1(all_0_7_7, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Using (13) and (335) yields:
% 8.30/2.52 | (336) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 |-Branch two:
% 8.30/2.52 | (337) m1_subset_1(all_0_7_7, all_54_0_39)
% 8.30/2.52 | (338) m1_subset_1(all_0_6_6, all_54_0_39)
% 8.30/2.52 |
% 8.30/2.52 | From (328) and (337) follows:
% 8.30/2.52 | (13) m1_subset_1(all_0_7_7, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Instantiating formula (4) with all_0_11_11, all_74_1_52, all_0_10_10 and discharging atoms u1_struct_0(all_0_11_11) = all_74_1_52, u1_struct_0(all_0_11_11) = all_0_10_10, yields:
% 8.30/2.52 | (400) all_74_1_52 = all_0_10_10
% 8.30/2.52 |
% 8.30/2.52 | From (400) and (392) follows:
% 8.30/2.52 | (401) k1_zfmisc_1(all_0_10_10) = all_74_0_51
% 8.30/2.52 |
% 8.30/2.52 | Instantiating formula (43) with all_0_10_10, all_74_0_51, all_0_9_9 and discharging atoms k1_zfmisc_1(all_0_10_10) = all_74_0_51, k1_zfmisc_1(all_0_10_10) = all_0_9_9, yields:
% 8.30/2.52 | (402) all_74_0_51 = all_0_9_9
% 8.30/2.52 |
% 8.30/2.52 | From (402) and (393) follows:
% 8.30/2.52 | (335) ~ m1_subset_1(all_0_7_7, all_0_9_9)
% 8.30/2.52 |
% 8.30/2.52 | Using (13) and (335) yields:
% 8.30/2.52 | (336) $false
% 8.30/2.52 |
% 8.30/2.52 |-The branch is then unsatisfiable
% 8.30/2.52 % SZS output end Proof for theBenchmark
% 8.30/2.52
% 8.30/2.52 1947ms
%------------------------------------------------------------------------------