TSTP Solution File: TOP023+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 21:24:38 EDT 2022
% Result : Theorem 4.99s 1.89s
% Output : Proof 14.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP023+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 08:06:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.40/0.61 ____ _
% 0.40/0.61 ___ / __ \_____(_)___ ________ __________
% 0.40/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.40/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.40/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.40/0.61
% 0.40/0.61 A Theorem Prover for First-Order Logic
% 0.40/0.61 (ePrincess v.1.0)
% 0.40/0.61
% 0.40/0.61 (c) Philipp Rümmer, 2009-2015
% 0.40/0.61 (c) Peter Backeman, 2014-2015
% 0.40/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.40/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.40/0.61 Bug reports to peter@backeman.se
% 0.40/0.61
% 0.40/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.40/0.61
% 0.40/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.95/1.09 Prover 0: Preprocessing ...
% 3.15/1.50 Prover 0: Warning: ignoring some quantifiers
% 3.48/1.53 Prover 0: Constructing countermodel ...
% 4.99/1.89 Prover 0: proved (1225ms)
% 4.99/1.89
% 4.99/1.89 No countermodel exists, formula is valid
% 4.99/1.89 % SZS status Theorem for theBenchmark
% 4.99/1.89
% 4.99/1.89 Generating proof ... Warning: ignoring some quantifiers
% 13.32/3.83 found it (size 573)
% 13.32/3.83
% 13.32/3.83 % SZS output start Proof for theBenchmark
% 13.32/3.83 Assumed formulas after preprocessing and simplification:
% 13.32/3.83 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (k1_zfmisc_1(v6) = v7 & k1_zfmisc_1(v1) = v2 & u1_struct_0(v5) = v6 & u1_struct_0(v0) = v1 & u1_pre_topc(v5) = v8 & u1_pre_topc(v0) = v3 & g1_pre_topc(v6, v8) = v4 & g1_pre_topc(v1, v3) = v4 & l1_struct_0(v12) & 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_pre_topc(v10) & v1_tsp_2(v9, v0) & m1_subset_1(v9, v7) & m1_subset_1(v9, v2) & l1_pre_topc(v13) & l1_pre_topc(v10) & l1_pre_topc(v5) & l1_pre_topc(v0) & ~ v1_xboole_0(v11) & ~ v1_tsp_2(v9, v5) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = v15 | ~ (g1_pre_topc(v17, v18) = v16) | ~ (g1_pre_topc(v14, v15) = v16) | ? [v19] : ? [v20] : (k1_zfmisc_1(v19) = v20 & k1_zfmisc_1(v14) = v19 & ~ m1_subset_1(v15, v20))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v17 = v14 | ~ (g1_pre_topc(v17, v18) = v16) | ~ (g1_pre_topc(v14, v15) = v16) | ? [v19] : ? [v20] : (k1_zfmisc_1(v19) = v20 & k1_zfmisc_1(v14) = v19 & ~ m1_subset_1(v15, v20))) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v14 | ~ (u1_struct_0(v14) = v15) | ~ (u1_pre_topc(v14) = v16) | ~ (g1_pre_topc(v15, v16) = v17) | ~ v1_pre_topc(v14) | ~ l1_pre_topc(v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = v14 | ~ (g1_pre_topc(v17, v16) = v15) | ~ (g1_pre_topc(v17, v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ v1_xboole_0(v16) | ~ r2_hidden(v14, v15) | ~ m1_subset_1(v15, v17)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k1_zfmisc_1(v16) = v17) | ~ r2_hidden(v14, v15) | ~ m1_subset_1(v15, v17) | m1_subset_1(v14, v16)) & ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (u1_struct_0(v14) = v15) | ~ (u1_pre_topc(v14) = v16) | ~ (g1_pre_topc(v15, v16) = v17) | ~ l1_pre_topc(v14) | ? [v18] : (k1_zfmisc_1(v15) = v18 & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u1_struct_0(v19) = v20) | ~ (u1_pre_topc(v19) = v21) | ~ (g1_pre_topc(v20, v21) = v22) | ~ l1_pre_topc(v19) | ? [v23] : (k1_zfmisc_1(v20) = v23 & ! [v24] : ( ~ (v22 = v17) | ~ v1_tsp_1(v24, v14) | ~ m1_subset_1(v24, v23) | ~ m1_subset_1(v24, v18) | v1_tsp_1(v24, v19)))) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l1_pre_topc(v19) | ? [v21] : ? [v22] : ? [v23] : (k1_zfmisc_1(v20) = v21 & u1_pre_topc(v19) = v22 & g1_pre_topc(v20, v22) = v23 & ! [v24] : ( ~ (v23 = v17) | ~ v1_tsp_1(v24, v14) | ~ m1_subset_1(v24, v21) | ~ m1_subset_1(v24, v18) | v1_tsp_1(v24, v19)))))) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (k1_zfmisc_1(v16) = v15) | ~ (k1_zfmisc_1(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (u1_struct_0(v16) = v15) | ~ (u1_struct_0(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (u1_pre_topc(v16) = v15) | ~ (u1_pre_topc(v16) = v14)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ r1_tarski(v14, v15) | m1_subset_1(v14, v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v15) = v16) | ~ m1_subset_1(v14, v16) | r1_tarski(v14, v15)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v5_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v4_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v3_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v5_membered(v14) | ~ m1_subset_1(v16, v15) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v4_membered(v14) | ~ m1_subset_1(v16, v15) | v4_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v4_membered(v14) | ~ m1_subset_1(v16, v15) | v3_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v4_membered(v14) | ~ m1_subset_1(v16, v15) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v4_membered(v14) | ~ m1_subset_1(v16, v15) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v3_membered(v14) | ~ m1_subset_1(v16, v15) | v3_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v3_membered(v14) | ~ m1_subset_1(v16, v15) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v3_membered(v14) | ~ m1_subset_1(v16, v15) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v2_membered(v14) | ~ m1_subset_1(v16, v15) | v2_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v2_membered(v14) | ~ m1_subset_1(v16, v15) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v1_membered(v14) | ~ m1_subset_1(v16, v15) | v1_membered(v16)) & ! [v14] : ! [v15] : ! [v16] : ( ~ (g1_pre_topc(v14, v15) = v16) | v1_pre_topc(v16) | ? [v17] : ? [v18] : (k1_zfmisc_1(v17) = v18 & k1_zfmisc_1(v14) = v17 & ~ m1_subset_1(v15, v18))) & ! [v14] : ! [v15] : ! [v16] : ( ~ (g1_pre_topc(v14, v15) = v16) | l1_pre_topc(v16) | ? [v17] : ? [v18] : (k1_zfmisc_1(v17) = v18 & k1_zfmisc_1(v14) = v17 & ~ m1_subset_1(v15, v18))) & ! [v14] : ! [v15] : (v15 = v14 | ~ v1_xboole_0(v15) | ~ v1_xboole_0(v14)) & ! [v14] : ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) | ~ v1_xboole_0(v15)) & ! [v14] : ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) | v1_xboole_0(v14) | ? [v16] : (m1_subset_1(v16, v15) & ~ v1_xboole_0(v16))) & ! [v14] : ! [v15] : ( ~ (k1_zfmisc_1(v14) = v15) | ? [v16] : (v1_xboole_0(v16) & m1_subset_1(v16, v15))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_pre_topc(v14) | ? [v16] : ? [v17] : ? [v18] : (k1_zfmisc_1(v17) = v18 & k1_zfmisc_1(v15) = v17 & u1_pre_topc(v14) = v16 & m1_subset_1(v16, v18))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_pre_topc(v14) | ? [v16] : ? [v17] : ? [v18] : (k1_zfmisc_1(v15) = v16 & u1_pre_topc(v14) = v17 & g1_pre_topc(v15, v17) = v18 & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u1_struct_0(v19) = v20) | ~ (u1_pre_topc(v19) = v21) | ~ (g1_pre_topc(v20, v21) = v22) | ~ l1_pre_topc(v19) | ? [v23] : (k1_zfmisc_1(v20) = v23 & ! [v24] : ( ~ (v22 = v18) | ~ v1_tsp_1(v24, v14) | ~ m1_subset_1(v24, v23) | ~ m1_subset_1(v24, v16) | v1_tsp_1(v24, v19)))) & ! [v19] : ! [v20] : ( ~ (u1_struct_0(v19) = v20) | ~ l1_pre_topc(v19) | ? [v21] : ? [v22] : ? [v23] : (k1_zfmisc_1(v20) = v21 & u1_pre_topc(v19) = v22 & g1_pre_topc(v20, v22) = v23 & ! [v24] : ( ~ (v23 = v18) | ~ v1_tsp_1(v24, v14) | ~ m1_subset_1(v24, v21) | ~ m1_subset_1(v24, v16) | v1_tsp_1(v24, v19)))))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_pre_topc(v14) | ? [v16] : ? [v17] : (k1_zfmisc_1(v15) = v16 & v2_tops_1(v17, v14) & v1_xboole_0(v17) & v5_membered(v17) & v4_membered(v17) & v3_membered(v17) & v2_membered(v17) & v1_membered(v17) & m1_subset_1(v17, v16))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_pre_topc(v14) | ? [v16] : (k1_zfmisc_1(v15) = v16 & ! [v17] : ! [v18] : (v18 = v17 | ~ r1_tarski(v17, v18) | ~ v1_tsp_1(v18, v14) | ~ v1_tsp_2(v17, v14) | ~ m1_subset_1(v18, v16) | ~ m1_subset_1(v17, v16)) & ! [v17] : ( ~ v1_tsp_1(v17, v14) | ~ m1_subset_1(v17, v16) | v1_tsp_2(v17, v14) | ? [v18] : ( ~ (v18 = v17) & r1_tarski(v17, v18) & v1_tsp_1(v18, v14) & m1_subset_1(v18, v16))) & ! [v17] : ( ~ v1_tsp_2(v17, v14) | ~ m1_subset_1(v17, v16) | v1_tsp_1(v17, v14)))) & ! [v14] : ! [v15] : ( ~ (u1_struct_0(v14) = v15) | ~ l1_pre_topc(v14) | ? [v16] : (k1_zfmisc_1(v15) = v16 & ! [v17] : ( ~ v1_xboole_0(v17) | ~ m1_subset_1(v17, v16) | v2_tops_1(v17, v14)))) & ! [v14] : ! [v15] : ( ~ (u1_pre_topc(v14) = v15) | ~ l1_pre_topc(v14) | ? [v16] : ? [v17] : ? [v18] : (k1_zfmisc_1(v17) = v18 & k1_zfmisc_1(v16) = v17 & u1_struct_0(v14) = v16 & m1_subset_1(v15, v18))) & ! [v14] : ! [v15] : ( ~ v1_xboole_0(v15) | ~ r2_hidden(v14, v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v4_ordinal2(v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v1_int_1(v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v1_rat_1(v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xreal_0(v15)) & ! [v14] : ! [v15] : ( ~ v5_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ v4_membered(v14) | ~ m1_subset_1(v15, v14) | v1_int_1(v15)) & ! [v14] : ! [v15] : ( ~ v4_membered(v14) | ~ m1_subset_1(v15, v14) | v1_rat_1(v15)) & ! [v14] : ! [v15] : ( ~ v4_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xreal_0(v15)) & ! [v14] : ! [v15] : ( ~ v4_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ v3_membered(v14) | ~ m1_subset_1(v15, v14) | v1_rat_1(v15)) & ! [v14] : ! [v15] : ( ~ v3_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xreal_0(v15)) & ! [v14] : ! [v15] : ( ~ v3_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ v2_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xreal_0(v15)) & ! [v14] : ! [v15] : ( ~ v2_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ v1_membered(v14) | ~ m1_subset_1(v15, v14) | v1_xcmplx_0(v15)) & ! [v14] : ! [v15] : ( ~ r2_hidden(v15, v14) | ~ r2_hidden(v14, v15)) & ! [v14] : ! [v15] : ( ~ r2_hidden(v14, v15) | m1_subset_1(v14, v15)) & ! [v14] : ! [v15] : ( ~ m1_subset_1(v14, v15) | v1_xboole_0(v15) | r2_hidden(v14, v15)) & ! [v14] : (v14 = k1_xboole_0 | ~ v1_xboole_0(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v5_membered(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v4_membered(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v3_membered(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v2_membered(v14)) & ! [v14] : ( ~ v1_xboole_0(v14) | v1_membered(v14)) & ! [v14] : ( ~ v5_membered(v14) | v4_membered(v14)) & ! [v14] : ( ~ v4_membered(v14) | v3_membered(v14)) & ! [v14] : ( ~ v3_membered(v14) | v2_membered(v14)) & ! [v14] : ( ~ v2_membered(v14) | v1_membered(v14)) & ! [v14] : ( ~ l1_pre_topc(v14) | l1_struct_0(v14)) & ? [v14] : ? [v15] : m1_subset_1(v15, v14) & ? [v14] : r1_tarski(v14, v14))
% 13.71/3.88 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13 yields:
% 13.71/3.88 | (1) k1_zfmisc_1(all_0_7_7) = all_0_6_6 & k1_zfmisc_1(all_0_12_12) = all_0_11_11 & u1_struct_0(all_0_8_8) = all_0_7_7 & u1_struct_0(all_0_13_13) = all_0_12_12 & u1_pre_topc(all_0_8_8) = all_0_5_5 & u1_pre_topc(all_0_13_13) = all_0_10_10 & g1_pre_topc(all_0_7_7, all_0_5_5) = all_0_9_9 & g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9 & l1_struct_0(all_0_1_1) & v1_xboole_0(k1_xboole_0) & v5_membered(all_0_2_2) & v5_membered(k1_xboole_0) & v4_membered(all_0_2_2) & v4_membered(k1_xboole_0) & v3_membered(all_0_2_2) & v3_membered(k1_xboole_0) & v2_membered(all_0_2_2) & v2_membered(k1_xboole_0) & v1_membered(all_0_2_2) & v1_membered(k1_xboole_0) & v1_pre_topc(all_0_3_3) & v1_tsp_2(all_0_4_4, all_0_13_13) & m1_subset_1(all_0_4_4, all_0_6_6) & m1_subset_1(all_0_4_4, all_0_11_11) & l1_pre_topc(all_0_0_0) & l1_pre_topc(all_0_3_3) & l1_pre_topc(all_0_8_8) & l1_pre_topc(all_0_13_13) & ~ v1_xboole_0(all_0_2_2) & ~ v1_tsp_2(all_0_4_4, all_0_8_8) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (g1_pre_topc(v3, v4) = v2) | ~ (g1_pre_topc(v0, v1) = v2) | ? [v5] : ? [v6] : (k1_zfmisc_1(v5) = v6 & k1_zfmisc_1(v0) = v5 & ~ m1_subset_1(v1, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | ~ (g1_pre_topc(v3, v4) = v2) | ~ (g1_pre_topc(v0, v1) = v2) | ? [v5] : ? [v6] : (k1_zfmisc_1(v5) = v6 & k1_zfmisc_1(v0) = v5 & ~ m1_subset_1(v1, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ v1_pre_topc(v0) | ~ l1_pre_topc(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (g1_pre_topc(v3, v2) = v1) | ~ (g1_pre_topc(v3, v2) = v0)) & ! [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] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (u1_struct_0(v5) = v6) | ~ (u1_pre_topc(v5) = v7) | ~ (g1_pre_topc(v6, v7) = v8) | ~ l1_pre_topc(v5) | ? [v9] : (k1_zfmisc_1(v6) = v9 & ! [v10] : ( ~ (v8 = v3) | ~ v1_tsp_1(v10, v0) | ~ m1_subset_1(v10, v9) | ~ m1_subset_1(v10, v4) | v1_tsp_1(v10, v5)))) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ l1_pre_topc(v5) | ? [v7] : ? [v8] : ? [v9] : (k1_zfmisc_1(v6) = v7 & u1_pre_topc(v5) = v8 & g1_pre_topc(v6, v8) = v9 & ! [v10] : ( ~ (v9 = v3) | ~ v1_tsp_1(v10, v0) | ~ m1_subset_1(v10, v7) | ~ m1_subset_1(v10, v4) | v1_tsp_1(v10, v5)))))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_pre_topc(v2) = v1) | ~ (u1_pre_topc(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_pre_topc(v0, v1) = v2) | v1_pre_topc(v2) | ? [v3] : ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v3 & ~ m1_subset_1(v1, v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_pre_topc(v0, v1) = v2) | l1_pre_topc(v2) | ? [v3] : ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v3 & ~ m1_subset_1(v1, v4))) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(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] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v1) = v3 & u1_pre_topc(v0) = v2 & m1_subset_1(v2, v4))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (u1_struct_0(v5) = v6) | ~ (u1_pre_topc(v5) = v7) | ~ (g1_pre_topc(v6, v7) = v8) | ~ l1_pre_topc(v5) | ? [v9] : (k1_zfmisc_1(v6) = v9 & ! [v10] : ( ~ (v8 = v4) | ~ v1_tsp_1(v10, v0) | ~ m1_subset_1(v10, v9) | ~ m1_subset_1(v10, v2) | v1_tsp_1(v10, v5)))) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ l1_pre_topc(v5) | ? [v7] : ? [v8] : ? [v9] : (k1_zfmisc_1(v6) = v7 & u1_pre_topc(v5) = v8 & g1_pre_topc(v6, v8) = v9 & ! [v10] : ( ~ (v9 = v4) | ~ v1_tsp_1(v10, v0) | ~ m1_subset_1(v10, v7) | ~ m1_subset_1(v10, v2) | v1_tsp_1(v10, v5)))))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v2_tops_1(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ! [v4] : (v4 = v3 | ~ r1_tarski(v3, v4) | ~ v1_tsp_1(v4, v0) | ~ v1_tsp_2(v3, v0) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2)) & ! [v3] : ( ~ v1_tsp_1(v3, v0) | ~ m1_subset_1(v3, v2) | v1_tsp_2(v3, v0) | ? [v4] : ( ~ (v4 = v3) & r1_tarski(v3, v4) & v1_tsp_1(v4, v0) & m1_subset_1(v4, v2))) & ! [v3] : ( ~ v1_tsp_2(v3, v0) | ~ m1_subset_1(v3, v2) | v1_tsp_1(v3, v0)))) & ! [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] : ( ~ (u1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v2) = v3 & u1_struct_0(v0) = v2 & m1_subset_1(v1, v4))) & ! [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)
% 13.80/3.90 |
% 13.80/3.90 | Applying alpha-rule on (1) yields:
% 13.80/3.90 | (2) v1_xboole_0(k1_xboole_0)
% 13.80/3.90 | (3) ! [v0] : ( ~ v1_xboole_0(v0) | v5_membered(v0))
% 13.80/3.90 | (4) g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9
% 13.80/3.90 | (5) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 13.80/3.90 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (g1_pre_topc(v3, v2) = v1) | ~ (g1_pre_topc(v3, v2) = v0))
% 13.80/3.90 | (7) v1_membered(all_0_2_2)
% 13.80/3.90 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 13.80/3.90 | (9) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 13.80/3.90 | (10) v5_membered(all_0_2_2)
% 13.80/3.90 | (11) l1_pre_topc(all_0_3_3)
% 13.80/3.90 | (12) ! [v0] : ( ~ l1_pre_topc(v0) | l1_struct_0(v0))
% 13.80/3.90 | (13) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 13.80/3.90 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 13.80/3.90 | (15) ! [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))))
% 13.80/3.90 | (16) u1_pre_topc(all_0_13_13) = all_0_10_10
% 13.80/3.90 | (17) v1_membered(k1_xboole_0)
% 13.80/3.90 | (18) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 13.80/3.90 | (19) g1_pre_topc(all_0_7_7, all_0_5_5) = all_0_9_9
% 13.80/3.90 | (20) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 13.80/3.90 | (21) ! [v0] : ! [v1] : ( ~ v1_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 13.80/3.90 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3) | m1_subset_1(v0, v2))
% 13.80/3.90 | (23) ! [v0] : ( ~ v2_membered(v0) | v1_membered(v0))
% 13.80/3.91 | (24) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 13.80/3.91 | (25) ! [v0] : ( ~ v5_membered(v0) | v4_membered(v0))
% 13.80/3.91 | (26) ! [v0] : ( ~ v1_xboole_0(v0) | v4_membered(v0))
% 13.80/3.91 | (27) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 13.80/3.91 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_pre_topc(v0, v1) = v2) | v1_pre_topc(v2) | ? [v3] : ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v3 & ~ m1_subset_1(v1, v4)))
% 13.80/3.91 | (29) v4_membered(all_0_2_2)
% 13.80/3.91 | (30) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v1) = v3 & u1_pre_topc(v0) = v2 & m1_subset_1(v2, v4)))
% 13.80/3.91 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_pre_topc(v2) = v1) | ~ (u1_pre_topc(v2) = v0))
% 13.80/3.91 | (32) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 13.80/3.91 | (33) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 13.80/3.91 | (34) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 13.80/3.91 | (35) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_int_1(v1))
% 13.80/3.91 | (36) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 13.80/3.91 | (37) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & v2_tops_1(v3, v0) & v1_xboole_0(v3) & v5_membered(v3) & v4_membered(v3) & v3_membered(v3) & v2_membered(v3) & v1_membered(v3) & m1_subset_1(v3, v2)))
% 13.80/3.91 | (38) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v4_ordinal2(v1))
% 13.80/3.91 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 13.80/3.91 | (40) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 13.80/3.91 | (41) ! [v0] : ( ~ v4_membered(v0) | v3_membered(v0))
% 13.80/3.91 | (42) ! [v0] : ( ~ v1_xboole_0(v0) | v3_membered(v0))
% 13.80/3.91 | (43) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 13.80/3.91 | (44) v4_membered(k1_xboole_0)
% 13.80/3.91 | (45) l1_pre_topc(all_0_8_8)
% 13.80/3.91 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 13.80/3.91 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 13.80/3.91 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 13.80/3.91 | (49) m1_subset_1(all_0_4_4, all_0_11_11)
% 13.80/3.91 | (50) u1_struct_0(all_0_13_13) = all_0_12_12
% 13.80/3.91 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v2_membered(v2))
% 13.80/3.91 | (52) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (u1_struct_0(v5) = v6) | ~ (u1_pre_topc(v5) = v7) | ~ (g1_pre_topc(v6, v7) = v8) | ~ l1_pre_topc(v5) | ? [v9] : (k1_zfmisc_1(v6) = v9 & ! [v10] : ( ~ (v8 = v4) | ~ v1_tsp_1(v10, v0) | ~ m1_subset_1(v10, v9) | ~ m1_subset_1(v10, v2) | v1_tsp_1(v10, v5)))) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ l1_pre_topc(v5) | ? [v7] : ? [v8] : ? [v9] : (k1_zfmisc_1(v6) = v7 & u1_pre_topc(v5) = v8 & g1_pre_topc(v6, v8) = v9 & ! [v10] : ( ~ (v9 = v4) | ~ v1_tsp_1(v10, v0) | ~ m1_subset_1(v10, v7) | ~ m1_subset_1(v10, v2) | v1_tsp_1(v10, v5))))))
% 13.80/3.91 | (53) v1_pre_topc(all_0_3_3)
% 13.80/3.91 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v4_membered(v2))
% 13.80/3.91 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ r2_hidden(v0, v1) | ~ m1_subset_1(v1, v3))
% 13.80/3.91 | (56) k1_zfmisc_1(all_0_12_12) = all_0_11_11
% 13.80/3.91 | (57) ? [v0] : r1_tarski(v0, v0)
% 13.80/3.91 | (58) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 13.80/3.91 | (59) ~ v1_tsp_2(all_0_4_4, all_0_8_8)
% 13.80/3.91 | (60) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 13.80/3.91 | (61) l1_pre_topc(all_0_13_13)
% 13.80/3.91 | (62) ! [v0] : ! [v1] : ( ~ v5_membered(v0) | ~ m1_subset_1(v1, v0) | v1_rat_1(v1))
% 13.80/3.91 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v2_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 13.80/3.91 | (64) k1_zfmisc_1(all_0_7_7) = all_0_6_6
% 13.80/3.91 | (65) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & ! [v3] : ! [v4] : (v4 = v3 | ~ r1_tarski(v3, v4) | ~ v1_tsp_1(v4, v0) | ~ v1_tsp_2(v3, v0) | ~ m1_subset_1(v4, v2) | ~ m1_subset_1(v3, v2)) & ! [v3] : ( ~ v1_tsp_1(v3, v0) | ~ m1_subset_1(v3, v2) | v1_tsp_2(v3, v0) | ? [v4] : ( ~ (v4 = v3) & r1_tarski(v3, v4) & v1_tsp_1(v4, v0) & m1_subset_1(v4, v2))) & ! [v3] : ( ~ v1_tsp_2(v3, v0) | ~ m1_subset_1(v3, v2) | v1_tsp_1(v3, v0))))
% 13.89/3.92 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_membered(v0) | ~ m1_subset_1(v2, v1) | v1_membered(v2))
% 13.89/3.92 | (67) l1_pre_topc(all_0_0_0)
% 13.89/3.92 | (68) ! [v0] : ! [v1] : ( ~ v4_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 13.89/3.92 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ v1_pre_topc(v0) | ~ l1_pre_topc(v0))
% 13.89/3.92 | (70) ! [v0] : ! [v1] : ( ~ (u1_pre_topc(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v2) = v3 & u1_struct_0(v0) = v2 & m1_subset_1(v1, v4)))
% 13.89/3.92 | (71) v5_membered(k1_xboole_0)
% 13.89/3.92 | (72) v2_membered(all_0_2_2)
% 13.89/3.92 | (73) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 13.89/3.92 | (74) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (u1_struct_0(v5) = v6) | ~ (u1_pre_topc(v5) = v7) | ~ (g1_pre_topc(v6, v7) = v8) | ~ l1_pre_topc(v5) | ? [v9] : (k1_zfmisc_1(v6) = v9 & ! [v10] : ( ~ (v8 = v3) | ~ v1_tsp_1(v10, v0) | ~ m1_subset_1(v10, v9) | ~ m1_subset_1(v10, v4) | v1_tsp_1(v10, v5)))) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ l1_pre_topc(v5) | ? [v7] : ? [v8] : ? [v9] : (k1_zfmisc_1(v6) = v7 & u1_pre_topc(v5) = v8 & g1_pre_topc(v6, v8) = v9 & ! [v10] : ( ~ (v9 = v3) | ~ v1_tsp_1(v10, v0) | ~ m1_subset_1(v10, v7) | ~ m1_subset_1(v10, v4) | v1_tsp_1(v10, v5))))))
% 13.89/3.92 | (75) m1_subset_1(all_0_4_4, all_0_6_6)
% 13.89/3.92 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v4_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 13.89/3.92 | (77) u1_pre_topc(all_0_8_8) = all_0_5_5
% 13.89/3.92 | (78) v3_membered(all_0_2_2)
% 13.89/3.92 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v5_membered(v2))
% 13.89/3.92 | (80) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 13.89/3.92 | (81) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 13.89/3.92 | (82) ! [v0] : ! [v1] : ( ~ v3_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xcmplx_0(v1))
% 13.89/3.92 | (83) ! [v0] : ( ~ v1_xboole_0(v0) | v2_membered(v0))
% 13.89/3.92 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 13.89/3.92 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 13.89/3.92 | (86) v1_tsp_2(all_0_4_4, all_0_13_13)
% 13.89/3.92 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v3_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 13.89/3.92 | (88) v3_membered(k1_xboole_0)
% 13.89/3.92 | (89) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 13.89/3.92 | (90) u1_struct_0(all_0_8_8) = all_0_7_7
% 13.89/3.92 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (g1_pre_topc(v3, v4) = v2) | ~ (g1_pre_topc(v0, v1) = v2) | ? [v5] : ? [v6] : (k1_zfmisc_1(v5) = v6 & k1_zfmisc_1(v0) = v5 & ~ m1_subset_1(v1, v6)))
% 13.89/3.92 | (92) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 13.89/3.92 | (93) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 13.89/3.92 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | ~ (g1_pre_topc(v3, v4) = v2) | ~ (g1_pre_topc(v0, v1) = v2) | ? [v5] : ? [v6] : (k1_zfmisc_1(v5) = v6 & k1_zfmisc_1(v0) = v5 & ~ m1_subset_1(v1, v6)))
% 13.89/3.92 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v5_membered(v0) | ~ m1_subset_1(v2, v1) | v3_membered(v2))
% 13.89/3.92 | (96) l1_struct_0(all_0_1_1)
% 13.89/3.92 | (97) ! [v0] : ! [v1] : ( ~ v2_membered(v0) | ~ m1_subset_1(v1, v0) | v1_xreal_0(v1))
% 13.89/3.92 | (98) ~ v1_xboole_0(all_0_2_2)
% 13.89/3.93 | (99) ! [v0] : ( ~ v3_membered(v0) | v2_membered(v0))
% 13.89/3.93 | (100) v2_membered(k1_xboole_0)
% 13.89/3.93 | (101) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_pre_topc(v0, v1) = v2) | l1_pre_topc(v2) | ? [v3] : ? [v4] : (k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v3 & ~ m1_subset_1(v1, v4)))
% 13.89/3.93 | (102) ! [v0] : ( ~ v1_xboole_0(v0) | v1_membered(v0))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (91) with all_0_10_10, all_0_12_12, all_0_9_9, all_0_5_5, all_0_7_7 and discharging atoms g1_pre_topc(all_0_7_7, all_0_5_5) = all_0_9_9, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, yields:
% 13.89/3.93 | (103) all_0_5_5 = all_0_10_10 | ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_7_7) = v0 & ~ m1_subset_1(all_0_5_5, v1))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (91) with all_0_5_5, all_0_7_7, all_0_9_9, all_0_10_10, all_0_12_12 and discharging atoms g1_pre_topc(all_0_7_7, all_0_5_5) = all_0_9_9, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, yields:
% 13.89/3.93 | (104) all_0_5_5 = all_0_10_10 | ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_12_12) = v0 & ~ m1_subset_1(all_0_10_10, v1))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (94) with all_0_10_10, all_0_12_12, all_0_9_9, all_0_5_5, all_0_7_7 and discharging atoms g1_pre_topc(all_0_7_7, all_0_5_5) = all_0_9_9, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, yields:
% 13.89/3.93 | (105) all_0_7_7 = all_0_12_12 | ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_7_7) = v0 & ~ m1_subset_1(all_0_5_5, v1))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (94) with all_0_5_5, all_0_7_7, all_0_9_9, all_0_10_10, all_0_12_12 and discharging atoms g1_pre_topc(all_0_7_7, all_0_5_5) = all_0_9_9, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, yields:
% 13.89/3.93 | (106) all_0_7_7 = all_0_12_12 | ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_12_12) = v0 & ~ m1_subset_1(all_0_10_10, v1))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (74) with all_0_9_9, all_0_5_5, all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, u1_pre_topc(all_0_8_8) = all_0_5_5, g1_pre_topc(all_0_7_7, all_0_5_5) = all_0_9_9, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.93 | (107) ? [v0] : (k1_zfmisc_1(all_0_7_7) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v1) = v2) | ~ (u1_pre_topc(v1) = v3) | ~ (g1_pre_topc(v2, v3) = v4) | ~ l1_pre_topc(v1) | ? [v5] : (k1_zfmisc_1(v2) = v5 & ! [v6] : ( ~ (v4 = all_0_9_9) | ~ v1_tsp_1(v6, all_0_8_8) | ~ m1_subset_1(v6, v5) | ~ m1_subset_1(v6, v0) | v1_tsp_1(v6, v1)))) & ! [v1] : ! [v2] : ( ~ (u1_struct_0(v1) = v2) | ~ l1_pre_topc(v1) | ? [v3] : ? [v4] : ? [v5] : (k1_zfmisc_1(v2) = v3 & u1_pre_topc(v1) = v4 & g1_pre_topc(v2, v4) = v5 & ! [v6] : ( ~ (v5 = all_0_9_9) | ~ v1_tsp_1(v6, all_0_8_8) | ~ m1_subset_1(v6, v3) | ~ m1_subset_1(v6, v0) | v1_tsp_1(v6, v1)))))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (30) with all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.93 | (108) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(all_0_7_7) = v1 & u1_pre_topc(all_0_8_8) = v0 & m1_subset_1(v0, v2))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (52) with all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.93 | (109) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_7_7) = v0 & u1_pre_topc(all_0_8_8) = v1 & g1_pre_topc(all_0_7_7, v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_struct_0(v3) = v4) | ~ (u1_pre_topc(v3) = v5) | ~ (g1_pre_topc(v4, v5) = v6) | ~ l1_pre_topc(v3) | ? [v7] : (k1_zfmisc_1(v4) = v7 & ! [v8] : ( ~ (v6 = v2) | ~ v1_tsp_1(v8, all_0_8_8) | ~ m1_subset_1(v8, v7) | ~ m1_subset_1(v8, v0) | v1_tsp_1(v8, v3)))) & ! [v3] : ! [v4] : ( ~ (u1_struct_0(v3) = v4) | ~ l1_pre_topc(v3) | ? [v5] : ? [v6] : ? [v7] : (k1_zfmisc_1(v4) = v5 & u1_pre_topc(v3) = v6 & g1_pre_topc(v4, v6) = v7 & ! [v8] : ( ~ (v7 = v2) | ~ v1_tsp_1(v8, all_0_8_8) | ~ m1_subset_1(v8, v5) | ~ m1_subset_1(v8, v0) | v1_tsp_1(v8, v3)))))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (37) with all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.93 | (110) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_7_7) = v0 & v2_tops_1(v1, all_0_8_8) & v1_xboole_0(v1) & v5_membered(v1) & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & v1_membered(v1) & m1_subset_1(v1, v0))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (65) with all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.93 | (111) ? [v0] : (k1_zfmisc_1(all_0_7_7) = v0 & ! [v1] : ! [v2] : (v2 = v1 | ~ r1_tarski(v1, v2) | ~ v1_tsp_1(v2, all_0_8_8) | ~ v1_tsp_2(v1, all_0_8_8) | ~ m1_subset_1(v2, v0) | ~ m1_subset_1(v1, v0)) & ! [v1] : ( ~ v1_tsp_1(v1, all_0_8_8) | ~ m1_subset_1(v1, v0) | v1_tsp_2(v1, all_0_8_8) | ? [v2] : ( ~ (v2 = v1) & r1_tarski(v1, v2) & v1_tsp_1(v2, all_0_8_8) & m1_subset_1(v2, v0))) & ! [v1] : ( ~ v1_tsp_2(v1, all_0_8_8) | ~ m1_subset_1(v1, v0) | v1_tsp_1(v1, all_0_8_8)))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (15) with all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.93 | (112) ? [v0] : (k1_zfmisc_1(all_0_7_7) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_8_8)))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (70) with all_0_5_5, all_0_8_8 and discharging atoms u1_pre_topc(all_0_8_8) = all_0_5_5, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.93 | (113) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & u1_struct_0(all_0_8_8) = v0 & m1_subset_1(all_0_5_5, v2))
% 13.89/3.93 |
% 13.89/3.93 | Instantiating formula (74) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, u1_pre_topc(all_0_13_13) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.93 | (114) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v1) = v2) | ~ (u1_pre_topc(v1) = v3) | ~ (g1_pre_topc(v2, v3) = v4) | ~ l1_pre_topc(v1) | ? [v5] : (k1_zfmisc_1(v2) = v5 & ! [v6] : ( ~ (v4 = all_0_9_9) | ~ v1_tsp_1(v6, all_0_13_13) | ~ m1_subset_1(v6, v5) | ~ m1_subset_1(v6, v0) | v1_tsp_1(v6, v1)))) & ! [v1] : ! [v2] : ( ~ (u1_struct_0(v1) = v2) | ~ l1_pre_topc(v1) | ? [v3] : ? [v4] : ? [v5] : (k1_zfmisc_1(v2) = v3 & u1_pre_topc(v1) = v4 & g1_pre_topc(v2, v4) = v5 & ! [v6] : ( ~ (v5 = all_0_9_9) | ~ v1_tsp_1(v6, all_0_13_13) | ~ m1_subset_1(v6, v3) | ~ m1_subset_1(v6, v0) | v1_tsp_1(v6, v1)))))
% 13.89/3.94 |
% 13.89/3.94 | Instantiating formula (30) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.94 | (115) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(all_0_12_12) = v1 & u1_pre_topc(all_0_13_13) = v0 & m1_subset_1(v0, v2))
% 13.89/3.94 |
% 13.89/3.94 | Instantiating formula (52) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.94 | (116) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_13_13) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (u1_struct_0(v3) = v4) | ~ (u1_pre_topc(v3) = v5) | ~ (g1_pre_topc(v4, v5) = v6) | ~ l1_pre_topc(v3) | ? [v7] : (k1_zfmisc_1(v4) = v7 & ! [v8] : ( ~ (v6 = v2) | ~ v1_tsp_1(v8, all_0_13_13) | ~ m1_subset_1(v8, v7) | ~ m1_subset_1(v8, v0) | v1_tsp_1(v8, v3)))) & ! [v3] : ! [v4] : ( ~ (u1_struct_0(v3) = v4) | ~ l1_pre_topc(v3) | ? [v5] : ? [v6] : ? [v7] : (k1_zfmisc_1(v4) = v5 & u1_pre_topc(v3) = v6 & g1_pre_topc(v4, v6) = v7 & ! [v8] : ( ~ (v7 = v2) | ~ v1_tsp_1(v8, all_0_13_13) | ~ m1_subset_1(v8, v5) | ~ m1_subset_1(v8, v0) | v1_tsp_1(v8, v3)))))
% 13.89/3.94 |
% 13.89/3.94 | Instantiating formula (37) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.94 | (117) ? [v0] : ? [v1] : (k1_zfmisc_1(all_0_12_12) = v0 & v2_tops_1(v1, all_0_13_13) & v1_xboole_0(v1) & v5_membered(v1) & v4_membered(v1) & v3_membered(v1) & v2_membered(v1) & v1_membered(v1) & m1_subset_1(v1, v0))
% 13.89/3.94 |
% 13.89/3.94 | Instantiating formula (65) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.94 | (118) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ! [v2] : (v2 = v1 | ~ r1_tarski(v1, v2) | ~ v1_tsp_1(v2, all_0_13_13) | ~ v1_tsp_2(v1, all_0_13_13) | ~ m1_subset_1(v2, v0) | ~ m1_subset_1(v1, v0)) & ! [v1] : ( ~ v1_tsp_1(v1, all_0_13_13) | ~ m1_subset_1(v1, v0) | v1_tsp_2(v1, all_0_13_13) | ? [v2] : ( ~ (v2 = v1) & r1_tarski(v1, v2) & v1_tsp_1(v2, all_0_13_13) & m1_subset_1(v2, v0))) & ! [v1] : ( ~ v1_tsp_2(v1, all_0_13_13) | ~ m1_subset_1(v1, v0) | v1_tsp_1(v1, all_0_13_13)))
% 13.89/3.94 |
% 13.89/3.94 | Instantiating formula (15) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.94 | (119) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ v1_xboole_0(v1) | ~ m1_subset_1(v1, v0) | v2_tops_1(v1, all_0_13_13)))
% 13.89/3.94 |
% 13.89/3.94 | Instantiating formula (70) with all_0_10_10, all_0_13_13 and discharging atoms u1_pre_topc(all_0_13_13) = all_0_10_10, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.94 | (120) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(v1) = v2 & k1_zfmisc_1(v0) = v1 & u1_struct_0(all_0_13_13) = v0 & m1_subset_1(all_0_10_10, v2))
% 13.89/3.94 |
% 13.89/3.94 | Instantiating (118) with all_13_0_17 yields:
% 13.89/3.94 | (121) k1_zfmisc_1(all_0_12_12) = all_13_0_17 & ! [v0] : ! [v1] : (v1 = v0 | ~ r1_tarski(v0, v1) | ~ v1_tsp_1(v1, all_0_13_13) | ~ v1_tsp_2(v0, all_0_13_13) | ~ m1_subset_1(v1, all_13_0_17) | ~ m1_subset_1(v0, all_13_0_17)) & ! [v0] : ( ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_13_0_17) | v1_tsp_2(v0, all_0_13_13) | ? [v1] : ( ~ (v1 = v0) & r1_tarski(v0, v1) & v1_tsp_1(v1, all_0_13_13) & m1_subset_1(v1, all_13_0_17))) & ! [v0] : ( ~ v1_tsp_2(v0, all_0_13_13) | ~ m1_subset_1(v0, all_13_0_17) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.94 |
% 13.89/3.94 | Applying alpha-rule on (121) yields:
% 13.89/3.94 | (122) k1_zfmisc_1(all_0_12_12) = all_13_0_17
% 13.89/3.94 | (123) ! [v0] : ! [v1] : (v1 = v0 | ~ r1_tarski(v0, v1) | ~ v1_tsp_1(v1, all_0_13_13) | ~ v1_tsp_2(v0, all_0_13_13) | ~ m1_subset_1(v1, all_13_0_17) | ~ m1_subset_1(v0, all_13_0_17))
% 13.89/3.94 | (124) ! [v0] : ( ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_13_0_17) | v1_tsp_2(v0, all_0_13_13) | ? [v1] : ( ~ (v1 = v0) & r1_tarski(v0, v1) & v1_tsp_1(v1, all_0_13_13) & m1_subset_1(v1, all_13_0_17)))
% 13.89/3.94 | (125) ! [v0] : ( ~ v1_tsp_2(v0, all_0_13_13) | ~ m1_subset_1(v0, all_13_0_17) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.94 |
% 13.89/3.94 | Instantiating (116) with all_16_0_18, all_16_1_19, all_16_2_20 yields:
% 13.89/3.94 | (126) k1_zfmisc_1(all_0_12_12) = all_16_2_20 & u1_pre_topc(all_0_13_13) = all_16_1_19 & g1_pre_topc(all_0_12_12, all_16_1_19) = all_16_0_18 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_16_0_18) | ~ v1_tsp_1(v5, all_0_13_13) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_16_2_20) | v1_tsp_1(v5, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_16_0_18) | ~ v1_tsp_1(v5, all_0_13_13) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_16_2_20) | v1_tsp_1(v5, v0))))
% 13.89/3.94 |
% 13.89/3.94 | Applying alpha-rule on (126) yields:
% 13.89/3.94 | (127) k1_zfmisc_1(all_0_12_12) = all_16_2_20
% 13.89/3.94 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_16_0_18) | ~ v1_tsp_1(v5, all_0_13_13) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_16_2_20) | v1_tsp_1(v5, v0))))
% 13.89/3.94 | (129) u1_pre_topc(all_0_13_13) = all_16_1_19
% 13.89/3.94 | (130) g1_pre_topc(all_0_12_12, all_16_1_19) = all_16_0_18
% 13.89/3.94 | (131) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_16_0_18) | ~ v1_tsp_1(v5, all_0_13_13) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_16_2_20) | v1_tsp_1(v5, v0))))
% 13.89/3.95 |
% 13.89/3.95 | Instantiating formula (128) with all_0_9_9, all_0_5_5, all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, u1_pre_topc(all_0_8_8) = all_0_5_5, g1_pre_topc(all_0_7_7, all_0_5_5) = all_0_9_9, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.95 | (132) ? [v0] : (k1_zfmisc_1(all_0_7_7) = v0 & ! [v1] : ( ~ (all_16_0_18 = all_0_9_9) | ~ v1_tsp_1(v1, all_0_13_13) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_16_2_20) | v1_tsp_1(v1, all_0_8_8)))
% 13.89/3.95 |
% 13.89/3.95 | Instantiating formula (131) with all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.95 | (133) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_7_7) = v0 & u1_pre_topc(all_0_8_8) = v1 & g1_pre_topc(all_0_7_7, v1) = v2 & ! [v3] : ( ~ (v2 = all_16_0_18) | ~ v1_tsp_1(v3, all_0_13_13) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_16_2_20) | v1_tsp_1(v3, all_0_8_8)))
% 13.89/3.95 |
% 13.89/3.95 | Instantiating (117) with all_19_0_21, all_19_1_22 yields:
% 13.89/3.95 | (134) k1_zfmisc_1(all_0_12_12) = all_19_1_22 & v2_tops_1(all_19_0_21, all_0_13_13) & v1_xboole_0(all_19_0_21) & v5_membered(all_19_0_21) & v4_membered(all_19_0_21) & v3_membered(all_19_0_21) & v2_membered(all_19_0_21) & v1_membered(all_19_0_21) & m1_subset_1(all_19_0_21, all_19_1_22)
% 13.89/3.95 |
% 13.89/3.95 | Applying alpha-rule on (134) yields:
% 13.89/3.95 | (135) v3_membered(all_19_0_21)
% 13.89/3.95 | (136) k1_zfmisc_1(all_0_12_12) = all_19_1_22
% 13.89/3.95 | (137) v1_xboole_0(all_19_0_21)
% 13.89/3.95 | (138) m1_subset_1(all_19_0_21, all_19_1_22)
% 13.89/3.95 | (139) v5_membered(all_19_0_21)
% 13.89/3.95 | (140) v2_tops_1(all_19_0_21, all_0_13_13)
% 13.89/3.95 | (141) v2_membered(all_19_0_21)
% 13.89/3.95 | (142) v1_membered(all_19_0_21)
% 13.89/3.95 | (143) v4_membered(all_19_0_21)
% 13.89/3.95 |
% 13.89/3.95 | Instantiating (113) with all_21_0_23, all_21_1_24, all_21_2_25 yields:
% 13.89/3.95 | (144) k1_zfmisc_1(all_21_1_24) = all_21_0_23 & k1_zfmisc_1(all_21_2_25) = all_21_1_24 & u1_struct_0(all_0_8_8) = all_21_2_25 & m1_subset_1(all_0_5_5, all_21_0_23)
% 13.89/3.95 |
% 13.89/3.95 | Applying alpha-rule on (144) yields:
% 13.89/3.95 | (145) k1_zfmisc_1(all_21_1_24) = all_21_0_23
% 13.89/3.95 | (146) k1_zfmisc_1(all_21_2_25) = all_21_1_24
% 13.89/3.95 | (147) u1_struct_0(all_0_8_8) = all_21_2_25
% 13.89/3.95 | (148) m1_subset_1(all_0_5_5, all_21_0_23)
% 13.89/3.95 |
% 13.89/3.95 | Instantiating (111) with all_23_0_26 yields:
% 13.89/3.95 | (149) k1_zfmisc_1(all_0_7_7) = all_23_0_26 & ! [v0] : ! [v1] : (v1 = v0 | ~ r1_tarski(v0, v1) | ~ v1_tsp_1(v1, all_0_8_8) | ~ v1_tsp_2(v0, all_0_8_8) | ~ m1_subset_1(v1, all_23_0_26) | ~ m1_subset_1(v0, all_23_0_26)) & ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_23_0_26) | v1_tsp_2(v0, all_0_8_8) | ? [v1] : ( ~ (v1 = v0) & r1_tarski(v0, v1) & v1_tsp_1(v1, all_0_8_8) & m1_subset_1(v1, all_23_0_26))) & ! [v0] : ( ~ v1_tsp_2(v0, all_0_8_8) | ~ m1_subset_1(v0, all_23_0_26) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.95 |
% 13.89/3.95 | Applying alpha-rule on (149) yields:
% 13.89/3.95 | (150) k1_zfmisc_1(all_0_7_7) = all_23_0_26
% 13.89/3.95 | (151) ! [v0] : ! [v1] : (v1 = v0 | ~ r1_tarski(v0, v1) | ~ v1_tsp_1(v1, all_0_8_8) | ~ v1_tsp_2(v0, all_0_8_8) | ~ m1_subset_1(v1, all_23_0_26) | ~ m1_subset_1(v0, all_23_0_26))
% 13.89/3.95 | (152) ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_23_0_26) | v1_tsp_2(v0, all_0_8_8) | ? [v1] : ( ~ (v1 = v0) & r1_tarski(v0, v1) & v1_tsp_1(v1, all_0_8_8) & m1_subset_1(v1, all_23_0_26)))
% 13.89/3.95 | (153) ! [v0] : ( ~ v1_tsp_2(v0, all_0_8_8) | ~ m1_subset_1(v0, all_23_0_26) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.95 |
% 13.89/3.95 | Instantiating (109) with all_26_0_27, all_26_1_28, all_26_2_29 yields:
% 13.89/3.95 | (154) k1_zfmisc_1(all_0_7_7) = all_26_2_29 & u1_pre_topc(all_0_8_8) = all_26_1_28 & g1_pre_topc(all_0_7_7, all_26_1_28) = all_26_0_27 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_26_0_27) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_26_2_29) | v1_tsp_1(v5, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_26_0_27) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_26_2_29) | v1_tsp_1(v5, v0))))
% 13.89/3.95 |
% 13.89/3.95 | Applying alpha-rule on (154) yields:
% 13.89/3.95 | (155) u1_pre_topc(all_0_8_8) = all_26_1_28
% 13.89/3.95 | (156) g1_pre_topc(all_0_7_7, all_26_1_28) = all_26_0_27
% 13.89/3.95 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_26_0_27) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_26_2_29) | v1_tsp_1(v5, v0))))
% 13.89/3.95 | (158) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_26_0_27) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_26_2_29) | v1_tsp_1(v5, v0))))
% 13.89/3.95 | (159) k1_zfmisc_1(all_0_7_7) = all_26_2_29
% 13.89/3.96 |
% 13.89/3.96 | Instantiating formula (157) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, u1_pre_topc(all_0_13_13) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.96 | (160) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ (all_26_0_27 = all_0_9_9) | ~ v1_tsp_1(v1, all_0_8_8) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_26_2_29) | v1_tsp_1(v1, all_0_13_13)))
% 13.89/3.96 |
% 13.89/3.96 | Instantiating formula (158) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.96 | (161) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_13_13) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_26_0_27) | ~ v1_tsp_1(v3, all_0_8_8) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_26_2_29) | v1_tsp_1(v3, all_0_13_13)))
% 13.89/3.96 |
% 13.89/3.96 | Instantiating (120) with all_29_0_30, all_29_1_31, all_29_2_32 yields:
% 13.89/3.96 | (162) k1_zfmisc_1(all_29_1_31) = all_29_0_30 & k1_zfmisc_1(all_29_2_32) = all_29_1_31 & u1_struct_0(all_0_13_13) = all_29_2_32 & m1_subset_1(all_0_10_10, all_29_0_30)
% 13.89/3.96 |
% 13.89/3.96 | Applying alpha-rule on (162) yields:
% 13.89/3.96 | (163) k1_zfmisc_1(all_29_1_31) = all_29_0_30
% 13.89/3.96 | (164) k1_zfmisc_1(all_29_2_32) = all_29_1_31
% 13.89/3.96 | (165) u1_struct_0(all_0_13_13) = all_29_2_32
% 13.89/3.96 | (166) m1_subset_1(all_0_10_10, all_29_0_30)
% 13.89/3.96 |
% 13.89/3.96 | Instantiating (119) with all_31_0_33 yields:
% 13.89/3.96 | (167) k1_zfmisc_1(all_0_12_12) = all_31_0_33 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_31_0_33) | v2_tops_1(v0, all_0_13_13))
% 13.89/3.96 |
% 13.89/3.96 | Applying alpha-rule on (167) yields:
% 13.89/3.96 | (168) k1_zfmisc_1(all_0_12_12) = all_31_0_33
% 13.89/3.96 | (169) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_31_0_33) | v2_tops_1(v0, all_0_13_13))
% 13.89/3.96 |
% 13.89/3.96 | Instantiating (108) with all_34_0_34, all_34_1_35, all_34_2_36 yields:
% 13.89/3.96 | (170) k1_zfmisc_1(all_34_1_35) = all_34_0_34 & k1_zfmisc_1(all_0_7_7) = all_34_1_35 & u1_pre_topc(all_0_8_8) = all_34_2_36 & m1_subset_1(all_34_2_36, all_34_0_34)
% 13.89/3.96 |
% 13.89/3.96 | Applying alpha-rule on (170) yields:
% 13.89/3.96 | (171) k1_zfmisc_1(all_34_1_35) = all_34_0_34
% 13.89/3.96 | (172) k1_zfmisc_1(all_0_7_7) = all_34_1_35
% 13.89/3.96 | (173) u1_pre_topc(all_0_8_8) = all_34_2_36
% 13.89/3.96 | (174) m1_subset_1(all_34_2_36, all_34_0_34)
% 13.89/3.96 |
% 13.89/3.96 | Instantiating (112) with all_36_0_37 yields:
% 13.89/3.96 | (175) k1_zfmisc_1(all_0_7_7) = all_36_0_37 & ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_36_0_37) | v2_tops_1(v0, all_0_8_8))
% 13.89/3.96 |
% 13.89/3.96 | Applying alpha-rule on (175) yields:
% 13.89/3.96 | (176) k1_zfmisc_1(all_0_7_7) = all_36_0_37
% 13.89/3.96 | (177) ! [v0] : ( ~ v1_xboole_0(v0) | ~ m1_subset_1(v0, all_36_0_37) | v2_tops_1(v0, all_0_8_8))
% 13.89/3.96 |
% 13.89/3.96 | Instantiating (115) with all_39_0_38, all_39_1_39, all_39_2_40 yields:
% 13.89/3.96 | (178) k1_zfmisc_1(all_39_1_39) = all_39_0_38 & k1_zfmisc_1(all_0_12_12) = all_39_1_39 & u1_pre_topc(all_0_13_13) = all_39_2_40 & m1_subset_1(all_39_2_40, all_39_0_38)
% 13.89/3.96 |
% 13.89/3.96 | Applying alpha-rule on (178) yields:
% 13.89/3.96 | (179) k1_zfmisc_1(all_39_1_39) = all_39_0_38
% 13.89/3.96 | (180) k1_zfmisc_1(all_0_12_12) = all_39_1_39
% 13.89/3.96 | (181) u1_pre_topc(all_0_13_13) = all_39_2_40
% 13.89/3.96 | (182) m1_subset_1(all_39_2_40, all_39_0_38)
% 13.89/3.96 |
% 13.89/3.96 | Instantiating (110) with all_41_0_41, all_41_1_42 yields:
% 13.89/3.96 | (183) k1_zfmisc_1(all_0_7_7) = all_41_1_42 & v2_tops_1(all_41_0_41, all_0_8_8) & v1_xboole_0(all_41_0_41) & v5_membered(all_41_0_41) & v4_membered(all_41_0_41) & v3_membered(all_41_0_41) & v2_membered(all_41_0_41) & v1_membered(all_41_0_41) & m1_subset_1(all_41_0_41, all_41_1_42)
% 13.89/3.96 |
% 13.89/3.96 | Applying alpha-rule on (183) yields:
% 13.89/3.96 | (184) k1_zfmisc_1(all_0_7_7) = all_41_1_42
% 13.89/3.96 | (185) v1_xboole_0(all_41_0_41)
% 13.89/3.96 | (186) v4_membered(all_41_0_41)
% 13.89/3.96 | (187) v3_membered(all_41_0_41)
% 13.89/3.96 | (188) v5_membered(all_41_0_41)
% 13.89/3.97 | (189) v2_tops_1(all_41_0_41, all_0_8_8)
% 13.89/3.97 | (190) m1_subset_1(all_41_0_41, all_41_1_42)
% 13.89/3.97 | (191) v2_membered(all_41_0_41)
% 13.89/3.97 | (192) v1_membered(all_41_0_41)
% 13.89/3.97 |
% 13.89/3.97 | Instantiating (114) with all_43_0_43 yields:
% 13.89/3.97 | (193) k1_zfmisc_1(all_0_12_12) = all_43_0_43 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_13_13) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_43_0_43) | v1_tsp_1(v5, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_13_13) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_43_0_43) | v1_tsp_1(v5, v0))))
% 13.89/3.97 |
% 13.89/3.97 | Applying alpha-rule on (193) yields:
% 13.89/3.97 | (194) k1_zfmisc_1(all_0_12_12) = all_43_0_43
% 13.89/3.97 | (195) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_13_13) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_43_0_43) | v1_tsp_1(v5, v0))))
% 13.89/3.97 | (196) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_13_13) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_43_0_43) | v1_tsp_1(v5, v0))))
% 13.89/3.97 |
% 13.89/3.97 | Instantiating formula (195) with all_0_9_9, all_0_5_5, all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, u1_pre_topc(all_0_8_8) = all_0_5_5, g1_pre_topc(all_0_7_7, all_0_5_5) = all_0_9_9, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.97 | (197) ? [v0] : (k1_zfmisc_1(all_0_7_7) = v0 & ! [v1] : ( ~ v1_tsp_1(v1, all_0_13_13) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_43_0_43) | v1_tsp_1(v1, all_0_8_8)))
% 13.89/3.97 |
% 13.89/3.97 | Instantiating formula (196) with all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.97 | (198) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_7_7) = v0 & u1_pre_topc(all_0_8_8) = v1 & g1_pre_topc(all_0_7_7, v1) = v2 & ! [v3] : ( ~ (v2 = all_0_9_9) | ~ v1_tsp_1(v3, all_0_13_13) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_43_0_43) | v1_tsp_1(v3, all_0_8_8)))
% 13.89/3.97 |
% 13.89/3.97 | Instantiating formula (196) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.97 | (199) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_13_13) = v1 & g1_pre_topc(all_0_12_12, v1) = v2)
% 13.89/3.97 |
% 13.89/3.97 | Instantiating (107) with all_50_0_46 yields:
% 13.89/3.97 | (200) k1_zfmisc_1(all_0_7_7) = all_50_0_46 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_50_0_46) | v1_tsp_1(v5, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_50_0_46) | v1_tsp_1(v5, v0))))
% 13.89/3.97 |
% 13.89/3.97 | Applying alpha-rule on (200) yields:
% 13.89/3.97 | (201) k1_zfmisc_1(all_0_7_7) = all_50_0_46
% 13.89/3.97 | (202) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_50_0_46) | v1_tsp_1(v5, v0))))
% 13.89/3.97 | (203) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_50_0_46) | v1_tsp_1(v5, v0))))
% 13.89/3.97 |
% 13.89/3.97 | Instantiating formula (203) with all_0_7_7, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_7_7, l1_pre_topc(all_0_8_8), yields:
% 13.89/3.97 | (204) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_7_7) = v0 & u1_pre_topc(all_0_8_8) = v1 & g1_pre_topc(all_0_7_7, v1) = v2)
% 13.89/3.97 |
% 13.89/3.97 | Instantiating formula (202) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, u1_pre_topc(all_0_13_13) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.97 | (205) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ v1_tsp_1(v1, all_0_8_8) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_50_0_46) | v1_tsp_1(v1, all_0_13_13)))
% 13.89/3.97 |
% 13.89/3.97 | Instantiating formula (203) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 13.89/3.97 | (206) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_13_13) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_0_9_9) | ~ v1_tsp_1(v3, all_0_8_8) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_50_0_46) | v1_tsp_1(v3, all_0_13_13)))
% 13.89/3.97 |
% 13.89/3.97 | Instantiating (133) with all_53_0_47, all_53_1_48, all_53_2_49 yields:
% 13.89/3.97 | (207) k1_zfmisc_1(all_0_7_7) = all_53_2_49 & u1_pre_topc(all_0_8_8) = all_53_1_48 & g1_pre_topc(all_0_7_7, all_53_1_48) = all_53_0_47 & ! [v0] : ( ~ (all_53_0_47 = all_16_0_18) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_53_2_49) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.97 |
% 13.89/3.97 | Applying alpha-rule on (207) yields:
% 13.89/3.97 | (208) k1_zfmisc_1(all_0_7_7) = all_53_2_49
% 13.89/3.97 | (209) u1_pre_topc(all_0_8_8) = all_53_1_48
% 13.89/3.98 | (210) g1_pre_topc(all_0_7_7, all_53_1_48) = all_53_0_47
% 13.89/3.98 | (211) ! [v0] : ( ~ (all_53_0_47 = all_16_0_18) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_53_2_49) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.98 |
% 13.89/3.98 | Instantiating (132) with all_56_0_50 yields:
% 13.89/3.98 | (212) k1_zfmisc_1(all_0_7_7) = all_56_0_50 & ! [v0] : ( ~ (all_16_0_18 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_56_0_50) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.98 |
% 13.89/3.98 | Applying alpha-rule on (212) yields:
% 13.89/3.98 | (213) k1_zfmisc_1(all_0_7_7) = all_56_0_50
% 13.89/3.98 | (214) ! [v0] : ( ~ (all_16_0_18 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_56_0_50) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.98 |
% 13.89/3.98 | Instantiating (161) with all_59_0_51, all_59_1_52, all_59_2_53 yields:
% 13.89/3.98 | (215) k1_zfmisc_1(all_0_12_12) = all_59_2_53 & u1_pre_topc(all_0_13_13) = all_59_1_52 & g1_pre_topc(all_0_12_12, all_59_1_52) = all_59_0_51 & ! [v0] : ( ~ (all_59_0_51 = all_26_0_27) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_59_2_53) | ~ m1_subset_1(v0, all_26_2_29) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.98 |
% 13.89/3.98 | Applying alpha-rule on (215) yields:
% 13.89/3.98 | (216) k1_zfmisc_1(all_0_12_12) = all_59_2_53
% 13.89/3.98 | (217) u1_pre_topc(all_0_13_13) = all_59_1_52
% 13.89/3.98 | (218) g1_pre_topc(all_0_12_12, all_59_1_52) = all_59_0_51
% 13.89/3.98 | (219) ! [v0] : ( ~ (all_59_0_51 = all_26_0_27) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_59_2_53) | ~ m1_subset_1(v0, all_26_2_29) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.98 |
% 13.89/3.98 | Instantiating (160) with all_62_0_54 yields:
% 13.89/3.98 | (220) k1_zfmisc_1(all_0_12_12) = all_62_0_54 & ! [v0] : ( ~ (all_26_0_27 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_62_0_54) | ~ m1_subset_1(v0, all_26_2_29) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.98 |
% 13.89/3.98 | Applying alpha-rule on (220) yields:
% 13.89/3.98 | (221) k1_zfmisc_1(all_0_12_12) = all_62_0_54
% 13.89/3.98 | (222) ! [v0] : ( ~ (all_26_0_27 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_62_0_54) | ~ m1_subset_1(v0, all_26_2_29) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.98 |
% 13.89/3.98 | Instantiating (199) with all_65_0_55, all_65_1_56, all_65_2_57 yields:
% 13.89/3.98 | (223) k1_zfmisc_1(all_0_12_12) = all_65_2_57 & u1_pre_topc(all_0_13_13) = all_65_1_56 & g1_pre_topc(all_0_12_12, all_65_1_56) = all_65_0_55
% 13.89/3.98 |
% 13.89/3.98 | Applying alpha-rule on (223) yields:
% 13.89/3.98 | (224) k1_zfmisc_1(all_0_12_12) = all_65_2_57
% 13.89/3.98 | (225) u1_pre_topc(all_0_13_13) = all_65_1_56
% 13.89/3.98 | (226) g1_pre_topc(all_0_12_12, all_65_1_56) = all_65_0_55
% 13.89/3.98 |
% 13.89/3.98 | Instantiating (198) with all_67_0_58, all_67_1_59, all_67_2_60 yields:
% 13.89/3.98 | (227) k1_zfmisc_1(all_0_7_7) = all_67_2_60 & u1_pre_topc(all_0_8_8) = all_67_1_59 & g1_pre_topc(all_0_7_7, all_67_1_59) = all_67_0_58 & ! [v0] : ( ~ (all_67_0_58 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_67_2_60) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.98 |
% 13.89/3.98 | Applying alpha-rule on (227) yields:
% 13.89/3.98 | (228) k1_zfmisc_1(all_0_7_7) = all_67_2_60
% 13.89/3.98 | (229) u1_pre_topc(all_0_8_8) = all_67_1_59
% 13.89/3.98 | (230) g1_pre_topc(all_0_7_7, all_67_1_59) = all_67_0_58
% 13.89/3.98 | (231) ! [v0] : ( ~ (all_67_0_58 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_67_2_60) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.98 |
% 13.89/3.98 | Instantiating (197) with all_70_0_61 yields:
% 13.89/3.98 | (232) k1_zfmisc_1(all_0_7_7) = all_70_0_61 & ! [v0] : ( ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_70_0_61) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.98 |
% 13.89/3.98 | Applying alpha-rule on (232) yields:
% 13.89/3.98 | (233) k1_zfmisc_1(all_0_7_7) = all_70_0_61
% 13.89/3.98 | (234) ! [v0] : ( ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_70_0_61) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 13.89/3.98 |
% 13.89/3.98 | Instantiating (206) with all_73_0_62, all_73_1_63, all_73_2_64 yields:
% 13.89/3.98 | (235) k1_zfmisc_1(all_0_12_12) = all_73_2_64 & u1_pre_topc(all_0_13_13) = all_73_1_63 & g1_pre_topc(all_0_12_12, all_73_1_63) = all_73_0_62 & ! [v0] : ( ~ (all_73_0_62 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_73_2_64) | ~ m1_subset_1(v0, all_50_0_46) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.98 |
% 13.89/3.98 | Applying alpha-rule on (235) yields:
% 13.89/3.98 | (236) k1_zfmisc_1(all_0_12_12) = all_73_2_64
% 13.89/3.98 | (237) u1_pre_topc(all_0_13_13) = all_73_1_63
% 13.89/3.98 | (238) g1_pre_topc(all_0_12_12, all_73_1_63) = all_73_0_62
% 13.89/3.98 | (239) ! [v0] : ( ~ (all_73_0_62 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_73_2_64) | ~ m1_subset_1(v0, all_50_0_46) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.98 |
% 13.89/3.98 | Instantiating (205) with all_76_0_65 yields:
% 13.89/3.98 | (240) k1_zfmisc_1(all_0_12_12) = all_76_0_65 & ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_76_0_65) | ~ m1_subset_1(v0, all_50_0_46) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.98 |
% 13.89/3.98 | Applying alpha-rule on (240) yields:
% 13.89/3.98 | (241) k1_zfmisc_1(all_0_12_12) = all_76_0_65
% 13.89/3.98 | (242) ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_76_0_65) | ~ m1_subset_1(v0, all_50_0_46) | v1_tsp_1(v0, all_0_13_13))
% 13.89/3.98 |
% 13.89/3.98 | Instantiating (204) with all_79_0_66, all_79_1_67, all_79_2_68 yields:
% 13.89/3.98 | (243) k1_zfmisc_1(all_0_7_7) = all_79_2_68 & u1_pre_topc(all_0_8_8) = all_79_1_67 & g1_pre_topc(all_0_7_7, all_79_1_67) = all_79_0_66
% 13.89/3.98 |
% 13.89/3.98 | Applying alpha-rule on (243) yields:
% 13.89/3.98 | (244) k1_zfmisc_1(all_0_7_7) = all_79_2_68
% 13.89/3.98 | (245) u1_pre_topc(all_0_8_8) = all_79_1_67
% 13.89/3.98 | (246) g1_pre_topc(all_0_7_7, all_79_1_67) = all_79_0_66
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_70_0_61, all_79_2_68 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_79_2_68, k1_zfmisc_1(all_0_7_7) = all_70_0_61, yields:
% 13.89/3.98 | (247) all_79_2_68 = all_70_0_61
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_56_0_50, all_70_0_61 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_70_0_61, k1_zfmisc_1(all_0_7_7) = all_56_0_50, yields:
% 13.89/3.98 | (248) all_70_0_61 = all_56_0_50
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_53_2_49, all_67_2_60 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_67_2_60, k1_zfmisc_1(all_0_7_7) = all_53_2_49, yields:
% 13.89/3.98 | (249) all_67_2_60 = all_53_2_49
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_53_2_49, all_56_0_50 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_56_0_50, k1_zfmisc_1(all_0_7_7) = all_53_2_49, yields:
% 13.89/3.98 | (250) all_56_0_50 = all_53_2_49
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_50_0_46, all_67_2_60 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_67_2_60, k1_zfmisc_1(all_0_7_7) = all_50_0_46, yields:
% 13.89/3.98 | (251) all_67_2_60 = all_50_0_46
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_41_1_42, all_0_6_6 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_41_1_42, k1_zfmisc_1(all_0_7_7) = all_0_6_6, yields:
% 13.89/3.98 | (252) all_41_1_42 = all_0_6_6
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_36_0_37, all_53_2_49 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_53_2_49, k1_zfmisc_1(all_0_7_7) = all_36_0_37, yields:
% 13.89/3.98 | (253) all_53_2_49 = all_36_0_37
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_34_1_35, all_53_2_49 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_53_2_49, k1_zfmisc_1(all_0_7_7) = all_34_1_35, yields:
% 13.89/3.98 | (254) all_53_2_49 = all_34_1_35
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_34_1_35, all_41_1_42 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_41_1_42, k1_zfmisc_1(all_0_7_7) = all_34_1_35, yields:
% 13.89/3.98 | (255) all_41_1_42 = all_34_1_35
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_26_2_29, all_53_2_49 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_53_2_49, k1_zfmisc_1(all_0_7_7) = all_26_2_29, yields:
% 13.89/3.98 | (256) all_53_2_49 = all_26_2_29
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_7_7, all_23_0_26, all_79_2_68 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_79_2_68, k1_zfmisc_1(all_0_7_7) = all_23_0_26, yields:
% 13.89/3.98 | (257) all_79_2_68 = all_23_0_26
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_12_12, all_65_2_57, all_73_2_64 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_73_2_64, k1_zfmisc_1(all_0_12_12) = all_65_2_57, yields:
% 13.89/3.98 | (258) all_73_2_64 = all_65_2_57
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_12_12, all_62_0_54, all_65_2_57 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_65_2_57, k1_zfmisc_1(all_0_12_12) = all_62_0_54, yields:
% 13.89/3.98 | (259) all_65_2_57 = all_62_0_54
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_12_12, all_59_2_53, all_0_11_11 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_59_2_53, k1_zfmisc_1(all_0_12_12) = all_0_11_11, yields:
% 13.89/3.98 | (260) all_59_2_53 = all_0_11_11
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_12_12, all_59_2_53, all_76_0_65 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_76_0_65, k1_zfmisc_1(all_0_12_12) = all_59_2_53, yields:
% 13.89/3.98 | (261) all_76_0_65 = all_59_2_53
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_12_12, all_43_0_43, all_76_0_65 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_76_0_65, k1_zfmisc_1(all_0_12_12) = all_43_0_43, yields:
% 13.89/3.98 | (262) all_76_0_65 = all_43_0_43
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_12_12, all_43_0_43, all_62_0_54 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_62_0_54, k1_zfmisc_1(all_0_12_12) = all_43_0_43, yields:
% 13.89/3.98 | (263) all_62_0_54 = all_43_0_43
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_12_12, all_39_1_39, all_73_2_64 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_73_2_64, k1_zfmisc_1(all_0_12_12) = all_39_1_39, yields:
% 13.89/3.98 | (264) all_73_2_64 = all_39_1_39
% 13.89/3.98 |
% 13.89/3.98 | Instantiating formula (39) with all_0_12_12, all_31_0_33, all_76_0_65 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_76_0_65, k1_zfmisc_1(all_0_12_12) = all_31_0_33, yields:
% 13.89/3.99 | (265) all_76_0_65 = all_31_0_33
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (39) with all_0_12_12, all_19_1_22, all_43_0_43 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_43_0_43, k1_zfmisc_1(all_0_12_12) = all_19_1_22, yields:
% 13.89/3.99 | (266) all_43_0_43 = all_19_1_22
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (39) with all_0_12_12, all_16_2_20, all_59_2_53 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_59_2_53, k1_zfmisc_1(all_0_12_12) = all_16_2_20, yields:
% 13.89/3.99 | (267) all_59_2_53 = all_16_2_20
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (39) with all_0_12_12, all_13_0_17, all_76_0_65 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_76_0_65, k1_zfmisc_1(all_0_12_12) = all_13_0_17, yields:
% 13.89/3.99 | (268) all_76_0_65 = all_13_0_17
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (14) with all_0_8_8, all_21_2_25, all_0_7_7 and discharging atoms u1_struct_0(all_0_8_8) = all_21_2_25, u1_struct_0(all_0_8_8) = all_0_7_7, yields:
% 13.89/3.99 | (269) all_21_2_25 = all_0_7_7
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (14) with all_0_13_13, all_29_2_32, all_0_12_12 and discharging atoms u1_struct_0(all_0_13_13) = all_29_2_32, u1_struct_0(all_0_13_13) = all_0_12_12, yields:
% 13.89/3.99 | (270) all_29_2_32 = all_0_12_12
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_8_8, all_67_1_59, all_79_1_67 and discharging atoms u1_pre_topc(all_0_8_8) = all_79_1_67, u1_pre_topc(all_0_8_8) = all_67_1_59, yields:
% 13.89/3.99 | (271) all_79_1_67 = all_67_1_59
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_8_8, all_53_1_48, all_0_5_5 and discharging atoms u1_pre_topc(all_0_8_8) = all_53_1_48, u1_pre_topc(all_0_8_8) = all_0_5_5, yields:
% 13.89/3.99 | (272) all_53_1_48 = all_0_5_5
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_8_8, all_53_1_48, all_79_1_67 and discharging atoms u1_pre_topc(all_0_8_8) = all_79_1_67, u1_pre_topc(all_0_8_8) = all_53_1_48, yields:
% 13.89/3.99 | (273) all_79_1_67 = all_53_1_48
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_8_8, all_34_2_36, all_53_1_48 and discharging atoms u1_pre_topc(all_0_8_8) = all_53_1_48, u1_pre_topc(all_0_8_8) = all_34_2_36, yields:
% 13.89/3.99 | (274) all_53_1_48 = all_34_2_36
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_8_8, all_26_1_28, all_79_1_67 and discharging atoms u1_pre_topc(all_0_8_8) = all_79_1_67, u1_pre_topc(all_0_8_8) = all_26_1_28, yields:
% 13.89/3.99 | (275) all_79_1_67 = all_26_1_28
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_13_13, all_73_1_63, all_0_10_10 and discharging atoms u1_pre_topc(all_0_13_13) = all_73_1_63, u1_pre_topc(all_0_13_13) = all_0_10_10, yields:
% 13.89/3.99 | (276) all_73_1_63 = all_0_10_10
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_13_13, all_65_1_56, all_73_1_63 and discharging atoms u1_pre_topc(all_0_13_13) = all_73_1_63, u1_pre_topc(all_0_13_13) = all_65_1_56, yields:
% 13.89/3.99 | (277) all_73_1_63 = all_65_1_56
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_13_13, all_59_1_52, all_65_1_56 and discharging atoms u1_pre_topc(all_0_13_13) = all_65_1_56, u1_pre_topc(all_0_13_13) = all_59_1_52, yields:
% 13.89/3.99 | (278) all_65_1_56 = all_59_1_52
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_13_13, all_39_2_40, all_59_1_52 and discharging atoms u1_pre_topc(all_0_13_13) = all_59_1_52, u1_pre_topc(all_0_13_13) = all_39_2_40, yields:
% 13.89/3.99 | (279) all_59_1_52 = all_39_2_40
% 13.89/3.99 |
% 13.89/3.99 | Instantiating formula (31) with all_0_13_13, all_16_1_19, all_59_1_52 and discharging atoms u1_pre_topc(all_0_13_13) = all_59_1_52, u1_pre_topc(all_0_13_13) = all_16_1_19, yields:
% 13.89/3.99 | (280) all_59_1_52 = all_16_1_19
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (273,271) yields a new equation:
% 13.89/3.99 | (281) all_67_1_59 = all_53_1_48
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (275,271) yields a new equation:
% 13.89/3.99 | (282) all_67_1_59 = all_26_1_28
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (247,257) yields a new equation:
% 13.89/3.99 | (283) all_70_0_61 = all_23_0_26
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 283 yields:
% 13.89/3.99 | (284) all_70_0_61 = all_23_0_26
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (261,265) yields a new equation:
% 13.89/3.99 | (285) all_59_2_53 = all_31_0_33
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 285 yields:
% 13.89/3.99 | (286) all_59_2_53 = all_31_0_33
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (268,265) yields a new equation:
% 13.89/3.99 | (287) all_31_0_33 = all_13_0_17
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (262,265) yields a new equation:
% 13.89/3.99 | (288) all_43_0_43 = all_31_0_33
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 288 yields:
% 13.89/3.99 | (289) all_43_0_43 = all_31_0_33
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (277,276) yields a new equation:
% 13.89/3.99 | (290) all_65_1_56 = all_0_10_10
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 290 yields:
% 13.89/3.99 | (291) all_65_1_56 = all_0_10_10
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (258,264) yields a new equation:
% 13.89/3.99 | (292) all_65_2_57 = all_39_1_39
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 292 yields:
% 13.89/3.99 | (293) all_65_2_57 = all_39_1_39
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (248,284) yields a new equation:
% 13.89/3.99 | (294) all_56_0_50 = all_23_0_26
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 294 yields:
% 13.89/3.99 | (295) all_56_0_50 = all_23_0_26
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (281,282) yields a new equation:
% 13.89/3.99 | (296) all_53_1_48 = all_26_1_28
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 296 yields:
% 13.89/3.99 | (297) all_53_1_48 = all_26_1_28
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (249,251) yields a new equation:
% 13.89/3.99 | (298) all_53_2_49 = all_50_0_46
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 298 yields:
% 13.89/3.99 | (299) all_53_2_49 = all_50_0_46
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (278,291) yields a new equation:
% 13.89/3.99 | (300) all_59_1_52 = all_0_10_10
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 300 yields:
% 13.89/3.99 | (301) all_59_1_52 = all_0_10_10
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (259,293) yields a new equation:
% 13.89/3.99 | (302) all_62_0_54 = all_39_1_39
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 302 yields:
% 13.89/3.99 | (303) all_62_0_54 = all_39_1_39
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (263,303) yields a new equation:
% 13.89/3.99 | (304) all_43_0_43 = all_39_1_39
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 304 yields:
% 13.89/3.99 | (305) all_43_0_43 = all_39_1_39
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (280,279) yields a new equation:
% 13.89/3.99 | (306) all_39_2_40 = all_16_1_19
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (301,279) yields a new equation:
% 13.89/3.99 | (307) all_39_2_40 = all_0_10_10
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (260,267) yields a new equation:
% 13.89/3.99 | (308) all_16_2_20 = all_0_11_11
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (286,267) yields a new equation:
% 13.89/3.99 | (309) all_31_0_33 = all_16_2_20
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 309 yields:
% 13.89/3.99 | (310) all_31_0_33 = all_16_2_20
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (250,295) yields a new equation:
% 13.89/3.99 | (311) all_53_2_49 = all_23_0_26
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 311 yields:
% 13.89/3.99 | (312) all_53_2_49 = all_23_0_26
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (272,274) yields a new equation:
% 13.89/3.99 | (313) all_34_2_36 = all_0_5_5
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (297,274) yields a new equation:
% 13.89/3.99 | (314) all_34_2_36 = all_26_1_28
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (253,299) yields a new equation:
% 13.89/3.99 | (315) all_50_0_46 = all_36_0_37
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (256,299) yields a new equation:
% 13.89/3.99 | (316) all_50_0_46 = all_26_2_29
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (254,299) yields a new equation:
% 13.89/3.99 | (317) all_50_0_46 = all_34_1_35
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (312,299) yields a new equation:
% 13.89/3.99 | (318) all_50_0_46 = all_23_0_26
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (316,315) yields a new equation:
% 13.89/3.99 | (319) all_36_0_37 = all_26_2_29
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (317,315) yields a new equation:
% 13.89/3.99 | (320) all_36_0_37 = all_34_1_35
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (318,315) yields a new equation:
% 13.89/3.99 | (321) all_36_0_37 = all_23_0_26
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (266,305) yields a new equation:
% 13.89/3.99 | (322) all_39_1_39 = all_19_1_22
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (289,305) yields a new equation:
% 13.89/3.99 | (323) all_39_1_39 = all_31_0_33
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (255,252) yields a new equation:
% 13.89/3.99 | (324) all_34_1_35 = all_0_6_6
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 324 yields:
% 13.89/3.99 | (325) all_34_1_35 = all_0_6_6
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (323,322) yields a new equation:
% 13.89/3.99 | (326) all_31_0_33 = all_19_1_22
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 326 yields:
% 13.89/3.99 | (327) all_31_0_33 = all_19_1_22
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (306,307) yields a new equation:
% 13.89/3.99 | (328) all_16_1_19 = all_0_10_10
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 328 yields:
% 13.89/3.99 | (329) all_16_1_19 = all_0_10_10
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (320,319) yields a new equation:
% 13.89/3.99 | (330) all_34_1_35 = all_26_2_29
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 330 yields:
% 13.89/3.99 | (331) all_34_1_35 = all_26_2_29
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (321,319) yields a new equation:
% 13.89/3.99 | (332) all_26_2_29 = all_23_0_26
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (331,325) yields a new equation:
% 13.89/3.99 | (333) all_26_2_29 = all_0_6_6
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 333 yields:
% 13.89/3.99 | (334) all_26_2_29 = all_0_6_6
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (313,314) yields a new equation:
% 13.89/3.99 | (335) all_26_1_28 = all_0_5_5
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (287,327) yields a new equation:
% 13.89/3.99 | (336) all_19_1_22 = all_13_0_17
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (310,327) yields a new equation:
% 13.89/3.99 | (337) all_19_1_22 = all_16_2_20
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (332,334) yields a new equation:
% 13.89/3.99 | (338) all_23_0_26 = all_0_6_6
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 338 yields:
% 13.89/3.99 | (339) all_23_0_26 = all_0_6_6
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (337,336) yields a new equation:
% 13.89/3.99 | (340) all_16_2_20 = all_13_0_17
% 13.89/3.99 |
% 13.89/3.99 | Simplifying 340 yields:
% 13.89/3.99 | (341) all_16_2_20 = all_13_0_17
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (308,341) yields a new equation:
% 13.89/3.99 | (342) all_13_0_17 = all_0_11_11
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (342,336) yields a new equation:
% 13.89/3.99 | (343) all_19_1_22 = all_0_11_11
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (343,327) yields a new equation:
% 13.89/3.99 | (344) all_31_0_33 = all_0_11_11
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (335,314) yields a new equation:
% 13.89/3.99 | (313) all_34_2_36 = all_0_5_5
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (334,319) yields a new equation:
% 13.89/3.99 | (346) all_36_0_37 = all_0_6_6
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (343,322) yields a new equation:
% 13.89/3.99 | (347) all_39_1_39 = all_0_11_11
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (347,305) yields a new equation:
% 13.89/3.99 | (348) all_43_0_43 = all_0_11_11
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (346,315) yields a new equation:
% 13.89/3.99 | (349) all_50_0_46 = all_0_6_6
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (313,274) yields a new equation:
% 13.89/3.99 | (272) all_53_1_48 = all_0_5_5
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (307,279) yields a new equation:
% 13.89/3.99 | (301) all_59_1_52 = all_0_10_10
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (335,282) yields a new equation:
% 13.89/3.99 | (352) all_67_1_59 = all_0_5_5
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (339,284) yields a new equation:
% 13.89/3.99 | (353) all_70_0_61 = all_0_6_6
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (347,264) yields a new equation:
% 13.89/3.99 | (354) all_73_2_64 = all_0_11_11
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (344,265) yields a new equation:
% 13.89/3.99 | (355) all_76_0_65 = all_0_11_11
% 13.89/3.99 |
% 13.89/3.99 | Combining equations (352,271) yields a new equation:
% 13.89/3.99 | (356) all_79_1_67 = all_0_5_5
% 13.89/3.99 |
% 13.89/3.99 | From (347) and (179) follows:
% 13.89/3.99 | (357) k1_zfmisc_1(all_0_11_11) = all_39_0_38
% 13.89/3.99 |
% 13.89/3.99 | From (325) and (171) follows:
% 13.89/3.99 | (358) k1_zfmisc_1(all_0_6_6) = all_34_0_34
% 13.89/3.99 |
% 13.89/3.99 | From (270) and (164) follows:
% 13.89/3.99 | (359) k1_zfmisc_1(all_0_12_12) = all_29_1_31
% 13.89/3.99 |
% 13.89/3.99 | From (269) and (146) follows:
% 13.89/3.99 | (360) k1_zfmisc_1(all_0_7_7) = all_21_1_24
% 13.89/3.99 |
% 13.89/3.99 | From (339) and (150) follows:
% 13.89/4.00 | (64) k1_zfmisc_1(all_0_7_7) = all_0_6_6
% 13.89/4.00 |
% 13.89/4.00 | From (342) and (122) follows:
% 13.89/4.00 | (56) k1_zfmisc_1(all_0_12_12) = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | From (269) and (147) follows:
% 13.89/4.00 | (90) u1_struct_0(all_0_8_8) = all_0_7_7
% 13.89/4.00 |
% 13.89/4.00 | From (270) and (165) follows:
% 13.89/4.00 | (50) u1_struct_0(all_0_13_13) = all_0_12_12
% 13.89/4.00 |
% 13.89/4.00 | From (335) and (155) follows:
% 13.89/4.00 | (77) u1_pre_topc(all_0_8_8) = all_0_5_5
% 13.89/4.00 |
% 13.89/4.00 | From (329) and (129) follows:
% 13.89/4.00 | (16) u1_pre_topc(all_0_13_13) = all_0_10_10
% 13.89/4.00 |
% 13.89/4.00 | From (356) and (246) follows:
% 13.89/4.00 | (367) g1_pre_topc(all_0_7_7, all_0_5_5) = all_79_0_66
% 13.89/4.00 |
% 13.89/4.00 | From (352) and (230) follows:
% 13.89/4.00 | (368) g1_pre_topc(all_0_7_7, all_0_5_5) = all_67_0_58
% 13.89/4.00 |
% 13.89/4.00 | From (272) and (210) follows:
% 13.89/4.00 | (369) g1_pre_topc(all_0_7_7, all_0_5_5) = all_53_0_47
% 13.89/4.00 |
% 13.89/4.00 | From (335) and (156) follows:
% 13.89/4.00 | (370) g1_pre_topc(all_0_7_7, all_0_5_5) = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | From (276) and (238) follows:
% 13.89/4.00 | (371) g1_pre_topc(all_0_12_12, all_0_10_10) = all_73_0_62
% 13.89/4.00 |
% 13.89/4.00 | From (291) and (226) follows:
% 13.89/4.00 | (372) g1_pre_topc(all_0_12_12, all_0_10_10) = all_65_0_55
% 13.89/4.00 |
% 13.89/4.00 | From (301) and (218) follows:
% 13.89/4.00 | (373) g1_pre_topc(all_0_12_12, all_0_10_10) = all_59_0_51
% 13.89/4.00 |
% 13.89/4.00 | From (329) and (130) follows:
% 13.89/4.00 | (374) g1_pre_topc(all_0_12_12, all_0_10_10) = all_16_0_18
% 13.89/4.00 |
% 13.89/4.00 | From (313) and (174) follows:
% 13.89/4.00 | (375) m1_subset_1(all_0_5_5, all_34_0_34)
% 13.89/4.00 |
% 13.89/4.00 +-Applying beta-rule and splitting (106), into two cases.
% 13.89/4.00 |-Branch one:
% 13.89/4.00 | (376) all_0_7_7 = all_0_12_12
% 13.89/4.00 |
% 13.89/4.00 | From (376) and (360) follows:
% 13.89/4.00 | (377) k1_zfmisc_1(all_0_12_12) = all_21_1_24
% 13.89/4.00 |
% 13.89/4.00 | From (376) and (64) follows:
% 13.89/4.00 | (378) k1_zfmisc_1(all_0_12_12) = all_0_6_6
% 13.89/4.00 |
% 13.89/4.00 | From (376) and (90) follows:
% 13.89/4.00 | (379) u1_struct_0(all_0_8_8) = all_0_12_12
% 13.89/4.00 |
% 13.89/4.00 | From (376) and (367) follows:
% 13.89/4.00 | (380) g1_pre_topc(all_0_12_12, all_0_5_5) = all_79_0_66
% 13.89/4.00 |
% 13.89/4.00 | From (376) and (368) follows:
% 13.89/4.00 | (381) g1_pre_topc(all_0_12_12, all_0_5_5) = all_67_0_58
% 13.89/4.00 |
% 13.89/4.00 | From (376) and (369) follows:
% 13.89/4.00 | (382) g1_pre_topc(all_0_12_12, all_0_5_5) = all_53_0_47
% 13.89/4.00 |
% 13.89/4.00 | From (376) and (370) follows:
% 13.89/4.00 | (383) g1_pre_topc(all_0_12_12, all_0_5_5) = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | From (376) and (19) follows:
% 13.89/4.00 | (384) g1_pre_topc(all_0_12_12, all_0_5_5) = all_0_9_9
% 13.89/4.00 |
% 13.89/4.00 +-Applying beta-rule and splitting (104), into two cases.
% 13.89/4.00 |-Branch one:
% 13.89/4.00 | (385) all_0_5_5 = all_0_10_10
% 13.89/4.00 |
% 13.89/4.00 | From (385) and (77) follows:
% 13.89/4.00 | (386) u1_pre_topc(all_0_8_8) = all_0_10_10
% 13.89/4.00 |
% 13.89/4.00 | From (385) and (380) follows:
% 13.89/4.00 | (387) g1_pre_topc(all_0_12_12, all_0_10_10) = all_79_0_66
% 13.89/4.00 |
% 13.89/4.00 | From (385) and (381) follows:
% 13.89/4.00 | (388) g1_pre_topc(all_0_12_12, all_0_10_10) = all_67_0_58
% 13.89/4.00 |
% 13.89/4.00 | From (385) and (382) follows:
% 13.89/4.00 | (389) g1_pre_topc(all_0_12_12, all_0_10_10) = all_53_0_47
% 13.89/4.00 |
% 13.89/4.00 | From (385) and (383) follows:
% 13.89/4.00 | (390) g1_pre_topc(all_0_12_12, all_0_10_10) = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | From (385) and (384) follows:
% 13.89/4.00 | (4) g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (39) with all_0_12_12, all_29_1_31, all_0_11_11 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_29_1_31, k1_zfmisc_1(all_0_12_12) = all_0_11_11, yields:
% 13.89/4.00 | (392) all_29_1_31 = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (39) with all_0_12_12, all_21_1_24, all_29_1_31 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_29_1_31, k1_zfmisc_1(all_0_12_12) = all_21_1_24, yields:
% 13.89/4.00 | (393) all_29_1_31 = all_21_1_24
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (39) with all_0_12_12, all_0_6_6, all_21_1_24 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_21_1_24, k1_zfmisc_1(all_0_12_12) = all_0_6_6, yields:
% 13.89/4.00 | (394) all_21_1_24 = all_0_6_6
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_67_0_58, all_73_0_62 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_73_0_62, g1_pre_topc(all_0_12_12, all_0_10_10) = all_67_0_58, yields:
% 13.89/4.00 | (395) all_73_0_62 = all_67_0_58
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_65_0_55, all_79_0_66 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_79_0_66, g1_pre_topc(all_0_12_12, all_0_10_10) = all_65_0_55, yields:
% 13.89/4.00 | (396) all_79_0_66 = all_65_0_55
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_59_0_51, all_0_9_9 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_59_0_51, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, yields:
% 13.89/4.00 | (397) all_59_0_51 = all_0_9_9
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_59_0_51, all_67_0_58 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_67_0_58, g1_pre_topc(all_0_12_12, all_0_10_10) = all_59_0_51, yields:
% 13.89/4.00 | (398) all_67_0_58 = all_59_0_51
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_59_0_51, all_65_0_55 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_65_0_55, g1_pre_topc(all_0_12_12, all_0_10_10) = all_59_0_51, yields:
% 13.89/4.00 | (399) all_65_0_55 = all_59_0_51
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_53_0_47, all_79_0_66 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_79_0_66, g1_pre_topc(all_0_12_12, all_0_10_10) = all_53_0_47, yields:
% 13.89/4.00 | (400) all_79_0_66 = all_53_0_47
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_26_0_27, all_73_0_62 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_73_0_62, g1_pre_topc(all_0_12_12, all_0_10_10) = all_26_0_27, yields:
% 13.89/4.00 | (401) all_73_0_62 = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_16_0_18, all_65_0_55 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_65_0_55, g1_pre_topc(all_0_12_12, all_0_10_10) = all_16_0_18, yields:
% 13.89/4.00 | (402) all_65_0_55 = all_16_0_18
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (396,400) yields a new equation:
% 13.89/4.00 | (403) all_65_0_55 = all_53_0_47
% 13.89/4.00 |
% 13.89/4.00 | Simplifying 403 yields:
% 13.89/4.00 | (404) all_65_0_55 = all_53_0_47
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (395,401) yields a new equation:
% 13.89/4.00 | (405) all_67_0_58 = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | Simplifying 405 yields:
% 13.89/4.00 | (406) all_67_0_58 = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (398,406) yields a new equation:
% 13.89/4.00 | (407) all_59_0_51 = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | Simplifying 407 yields:
% 13.89/4.00 | (408) all_59_0_51 = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (402,404) yields a new equation:
% 13.89/4.00 | (409) all_53_0_47 = all_16_0_18
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (399,404) yields a new equation:
% 13.89/4.00 | (410) all_59_0_51 = all_53_0_47
% 13.89/4.00 |
% 13.89/4.00 | Simplifying 410 yields:
% 13.89/4.00 | (411) all_59_0_51 = all_53_0_47
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (411,408) yields a new equation:
% 13.89/4.00 | (412) all_53_0_47 = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | Simplifying 412 yields:
% 13.89/4.00 | (413) all_53_0_47 = all_26_0_27
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (397,408) yields a new equation:
% 13.89/4.00 | (414) all_26_0_27 = all_0_9_9
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (413,409) yields a new equation:
% 13.89/4.00 | (415) all_26_0_27 = all_16_0_18
% 13.89/4.00 |
% 13.89/4.00 | Simplifying 415 yields:
% 13.89/4.00 | (416) all_26_0_27 = all_16_0_18
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (393,392) yields a new equation:
% 13.89/4.00 | (417) all_21_1_24 = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | Simplifying 417 yields:
% 13.89/4.00 | (418) all_21_1_24 = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (414,416) yields a new equation:
% 13.89/4.00 | (419) all_16_0_18 = all_0_9_9
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (394,418) yields a new equation:
% 13.89/4.00 | (420) all_0_6_6 = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | Simplifying 420 yields:
% 13.89/4.00 | (421) all_0_6_6 = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (421,339) yields a new equation:
% 13.89/4.00 | (422) all_23_0_26 = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (421,349) yields a new equation:
% 13.89/4.00 | (423) all_50_0_46 = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | Combining equations (421,353) yields a new equation:
% 13.89/4.00 | (424) all_70_0_61 = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | From (421) and (378) follows:
% 13.89/4.00 | (56) k1_zfmisc_1(all_0_12_12) = all_0_11_11
% 13.89/4.00 |
% 13.89/4.00 | From (419) and (374) follows:
% 13.89/4.00 | (4) g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9
% 13.89/4.00 |
% 13.89/4.00 | From (421) and (75) follows:
% 13.89/4.00 | (49) m1_subset_1(all_0_4_4, all_0_11_11)
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (131) with all_0_12_12, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_12_12, l1_pre_topc(all_0_8_8), yields:
% 13.89/4.00 | (428) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_8_8) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_16_0_18) | ~ v1_tsp_1(v3, all_0_13_13) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_16_2_20) | v1_tsp_1(v3, all_0_8_8)))
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (196) with all_0_12_12, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_12_12, l1_pre_topc(all_0_8_8), yields:
% 13.89/4.00 | (429) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_8_8) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_0_9_9) | ~ v1_tsp_1(v3, all_0_13_13) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_43_0_43) | v1_tsp_1(v3, all_0_8_8)))
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (74) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_12_12, u1_pre_topc(all_0_8_8) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_8_8), yields:
% 13.89/4.00 | (430) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v1) = v2) | ~ (u1_pre_topc(v1) = v3) | ~ (g1_pre_topc(v2, v3) = v4) | ~ l1_pre_topc(v1) | ? [v5] : (k1_zfmisc_1(v2) = v5 & ! [v6] : ( ~ (v4 = all_0_9_9) | ~ v1_tsp_1(v6, all_0_8_8) | ~ m1_subset_1(v6, v5) | ~ m1_subset_1(v6, v0) | v1_tsp_1(v6, v1)))) & ! [v1] : ! [v2] : ( ~ (u1_struct_0(v1) = v2) | ~ l1_pre_topc(v1) | ? [v3] : ? [v4] : ? [v5] : (k1_zfmisc_1(v2) = v3 & u1_pre_topc(v1) = v4 & g1_pre_topc(v2, v4) = v5 & ! [v6] : ( ~ (v5 = all_0_9_9) | ~ v1_tsp_1(v6, all_0_8_8) | ~ m1_subset_1(v6, v3) | ~ m1_subset_1(v6, v0) | v1_tsp_1(v6, v1)))))
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (128) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_12_12, u1_pre_topc(all_0_8_8) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_8_8), yields:
% 13.89/4.00 | (431) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ (all_16_0_18 = all_0_9_9) | ~ v1_tsp_1(v1, all_0_13_13) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_16_2_20) | v1_tsp_1(v1, all_0_8_8)))
% 13.89/4.00 |
% 13.89/4.00 | Instantiating formula (195) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_12_12, u1_pre_topc(all_0_8_8) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_8_8), yields:
% 13.89/4.00 | (432) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ v1_tsp_1(v1, all_0_13_13) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_43_0_43) | v1_tsp_1(v1, all_0_8_8)))
% 13.89/4.00 |
% 13.89/4.01 | Instantiating (432) with all_115_0_69 yields:
% 13.89/4.01 | (433) k1_zfmisc_1(all_0_12_12) = all_115_0_69 & ! [v0] : ( ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_115_0_69) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 13.89/4.01 |
% 13.89/4.01 | Applying alpha-rule on (433) yields:
% 13.89/4.01 | (434) k1_zfmisc_1(all_0_12_12) = all_115_0_69
% 13.89/4.01 | (435) ! [v0] : ( ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_115_0_69) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 13.89/4.01 |
% 13.89/4.01 | Instantiating (429) with all_118_0_70, all_118_1_71, all_118_2_72 yields:
% 13.89/4.01 | (436) k1_zfmisc_1(all_0_12_12) = all_118_2_72 & u1_pre_topc(all_0_8_8) = all_118_1_71 & g1_pre_topc(all_0_12_12, all_118_1_71) = all_118_0_70 & ! [v0] : ( ~ (all_118_0_70 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_118_2_72) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 13.89/4.01 |
% 13.89/4.01 | Applying alpha-rule on (436) yields:
% 13.89/4.01 | (437) k1_zfmisc_1(all_0_12_12) = all_118_2_72
% 13.89/4.01 | (438) u1_pre_topc(all_0_8_8) = all_118_1_71
% 13.89/4.01 | (439) g1_pre_topc(all_0_12_12, all_118_1_71) = all_118_0_70
% 13.89/4.01 | (440) ! [v0] : ( ~ (all_118_0_70 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_118_2_72) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 13.89/4.01 |
% 13.89/4.01 | Instantiating (428) with all_123_0_74, all_123_1_75, all_123_2_76 yields:
% 13.89/4.01 | (441) k1_zfmisc_1(all_0_12_12) = all_123_2_76 & u1_pre_topc(all_0_8_8) = all_123_1_75 & g1_pre_topc(all_0_12_12, all_123_1_75) = all_123_0_74 & ! [v0] : ( ~ (all_123_0_74 = all_16_0_18) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_123_2_76) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 13.89/4.01 |
% 13.89/4.01 | Applying alpha-rule on (441) yields:
% 13.89/4.01 | (442) k1_zfmisc_1(all_0_12_12) = all_123_2_76
% 13.89/4.01 | (443) u1_pre_topc(all_0_8_8) = all_123_1_75
% 13.89/4.01 | (444) g1_pre_topc(all_0_12_12, all_123_1_75) = all_123_0_74
% 13.89/4.01 | (445) ! [v0] : ( ~ (all_123_0_74 = all_16_0_18) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_123_2_76) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 13.89/4.01 |
% 13.89/4.01 | Instantiating (431) with all_126_0_77 yields:
% 13.89/4.01 | (446) k1_zfmisc_1(all_0_12_12) = all_126_0_77 & ! [v0] : ( ~ (all_16_0_18 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_126_0_77) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 13.89/4.01 |
% 13.89/4.01 | Applying alpha-rule on (446) yields:
% 13.89/4.01 | (447) k1_zfmisc_1(all_0_12_12) = all_126_0_77
% 13.89/4.01 | (448) ! [v0] : ( ~ (all_16_0_18 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_126_0_77) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 13.89/4.01 |
% 13.89/4.01 | Instantiating (430) with all_129_0_78 yields:
% 13.89/4.01 | (449) k1_zfmisc_1(all_0_12_12) = all_129_0_78 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_129_0_78) | v1_tsp_1(v5, v0)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_129_0_78) | v1_tsp_1(v5, v0))))
% 13.89/4.01 |
% 13.89/4.01 | Applying alpha-rule on (449) yields:
% 13.89/4.01 | (450) k1_zfmisc_1(all_0_12_12) = all_129_0_78
% 13.89/4.01 | (451) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v0) = v1) | ~ (u1_pre_topc(v0) = v2) | ~ (g1_pre_topc(v1, v2) = v3) | ~ l1_pre_topc(v0) | ? [v4] : (k1_zfmisc_1(v1) = v4 & ! [v5] : ( ~ (v3 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v4) | ~ m1_subset_1(v5, all_129_0_78) | v1_tsp_1(v5, v0))))
% 13.89/4.01 | (452) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_pre_topc(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_zfmisc_1(v1) = v2 & u1_pre_topc(v0) = v3 & g1_pre_topc(v1, v3) = v4 & ! [v5] : ( ~ (v4 = all_0_9_9) | ~ v1_tsp_1(v5, all_0_8_8) | ~ m1_subset_1(v5, v2) | ~ m1_subset_1(v5, all_129_0_78) | v1_tsp_1(v5, v0))))
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (451) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, u1_pre_topc(all_0_13_13) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_13_13), yields:
% 13.89/4.01 | (453) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ v1_tsp_1(v1, all_0_8_8) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_129_0_78) | v1_tsp_1(v1, all_0_13_13)))
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (452) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 13.89/4.01 | (454) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_13_13) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_0_9_9) | ~ v1_tsp_1(v3, all_0_8_8) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_129_0_78) | v1_tsp_1(v3, all_0_13_13)))
% 13.89/4.01 |
% 13.89/4.01 | Instantiating (454) with all_132_0_79, all_132_1_80, all_132_2_81 yields:
% 13.89/4.01 | (455) k1_zfmisc_1(all_0_12_12) = all_132_2_81 & u1_pre_topc(all_0_13_13) = all_132_1_80 & g1_pre_topc(all_0_12_12, all_132_1_80) = all_132_0_79 & ! [v0] : ( ~ (all_132_0_79 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_132_2_81) | ~ m1_subset_1(v0, all_129_0_78) | v1_tsp_1(v0, all_0_13_13))
% 13.89/4.01 |
% 13.89/4.01 | Applying alpha-rule on (455) yields:
% 13.89/4.01 | (456) k1_zfmisc_1(all_0_12_12) = all_132_2_81
% 13.89/4.01 | (457) u1_pre_topc(all_0_13_13) = all_132_1_80
% 13.89/4.01 | (458) g1_pre_topc(all_0_12_12, all_132_1_80) = all_132_0_79
% 13.89/4.01 | (459) ! [v0] : ( ~ (all_132_0_79 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_132_2_81) | ~ m1_subset_1(v0, all_129_0_78) | v1_tsp_1(v0, all_0_13_13))
% 13.89/4.01 |
% 13.89/4.01 | Instantiating (453) with all_135_0_82 yields:
% 13.89/4.01 | (460) k1_zfmisc_1(all_0_12_12) = all_135_0_82 & ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_135_0_82) | ~ m1_subset_1(v0, all_129_0_78) | v1_tsp_1(v0, all_0_13_13))
% 13.89/4.01 |
% 13.89/4.01 | Applying alpha-rule on (460) yields:
% 13.89/4.01 | (461) k1_zfmisc_1(all_0_12_12) = all_135_0_82
% 13.89/4.01 | (462) ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_135_0_82) | ~ m1_subset_1(v0, all_129_0_78) | v1_tsp_1(v0, all_0_13_13))
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (39) with all_0_12_12, all_132_2_81, all_135_0_82 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_135_0_82, k1_zfmisc_1(all_0_12_12) = all_132_2_81, yields:
% 13.89/4.01 | (463) all_135_0_82 = all_132_2_81
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (39) with all_0_12_12, all_129_0_78, all_0_11_11 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_129_0_78, k1_zfmisc_1(all_0_12_12) = all_0_11_11, yields:
% 13.89/4.01 | (464) all_129_0_78 = all_0_11_11
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (39) with all_0_12_12, all_129_0_78, all_132_2_81 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_132_2_81, k1_zfmisc_1(all_0_12_12) = all_129_0_78, yields:
% 13.89/4.01 | (465) all_132_2_81 = all_129_0_78
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (39) with all_0_12_12, all_126_0_77, all_129_0_78 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_129_0_78, k1_zfmisc_1(all_0_12_12) = all_126_0_77, yields:
% 13.89/4.01 | (466) all_129_0_78 = all_126_0_77
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (39) with all_0_12_12, all_123_2_76, all_135_0_82 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_135_0_82, k1_zfmisc_1(all_0_12_12) = all_123_2_76, yields:
% 13.89/4.01 | (467) all_135_0_82 = all_123_2_76
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (39) with all_0_12_12, all_118_2_72, all_126_0_77 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_126_0_77, k1_zfmisc_1(all_0_12_12) = all_118_2_72, yields:
% 13.89/4.01 | (468) all_126_0_77 = all_118_2_72
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (39) with all_0_12_12, all_115_0_69, all_129_0_78 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_129_0_78, k1_zfmisc_1(all_0_12_12) = all_115_0_69, yields:
% 13.89/4.01 | (469) all_129_0_78 = all_115_0_69
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (31) with all_0_8_8, all_123_1_75, all_0_10_10 and discharging atoms u1_pre_topc(all_0_8_8) = all_123_1_75, u1_pre_topc(all_0_8_8) = all_0_10_10, yields:
% 13.89/4.01 | (470) all_123_1_75 = all_0_10_10
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (31) with all_0_8_8, all_118_1_71, all_123_1_75 and discharging atoms u1_pre_topc(all_0_8_8) = all_123_1_75, u1_pre_topc(all_0_8_8) = all_118_1_71, yields:
% 13.89/4.01 | (471) all_123_1_75 = all_118_1_71
% 13.89/4.01 |
% 13.89/4.01 | Instantiating formula (31) with all_0_13_13, all_132_1_80, all_0_10_10 and discharging atoms u1_pre_topc(all_0_13_13) = all_132_1_80, u1_pre_topc(all_0_13_13) = all_0_10_10, yields:
% 13.89/4.01 | (472) all_132_1_80 = all_0_10_10
% 13.89/4.01 |
% 13.89/4.01 | Combining equations (463,467) yields a new equation:
% 13.89/4.01 | (473) all_132_2_81 = all_123_2_76
% 13.89/4.01 |
% 13.89/4.01 | Simplifying 473 yields:
% 13.89/4.01 | (474) all_132_2_81 = all_123_2_76
% 13.89/4.01 |
% 13.89/4.01 | Combining equations (465,474) yields a new equation:
% 13.89/4.01 | (475) all_129_0_78 = all_123_2_76
% 13.89/4.01 |
% 13.89/4.01 | Simplifying 475 yields:
% 13.89/4.01 | (476) all_129_0_78 = all_123_2_76
% 13.89/4.01 |
% 13.89/4.01 | Combining equations (469,476) yields a new equation:
% 13.89/4.01 | (477) all_123_2_76 = all_115_0_69
% 13.89/4.01 |
% 13.89/4.01 | Combining equations (464,476) yields a new equation:
% 13.89/4.01 | (478) all_123_2_76 = all_0_11_11
% 13.89/4.01 |
% 13.89/4.01 | Combining equations (466,476) yields a new equation:
% 13.89/4.01 | (479) all_126_0_77 = all_123_2_76
% 13.89/4.01 |
% 13.89/4.01 | Simplifying 479 yields:
% 13.89/4.01 | (480) all_126_0_77 = all_123_2_76
% 13.89/4.01 |
% 13.89/4.01 | Combining equations (480,468) yields a new equation:
% 13.89/4.01 | (481) all_123_2_76 = all_118_2_72
% 13.89/4.01 |
% 13.89/4.01 | Simplifying 481 yields:
% 13.89/4.01 | (482) all_123_2_76 = all_118_2_72
% 13.89/4.01 |
% 13.89/4.01 | Combining equations (470,471) yields a new equation:
% 13.89/4.01 | (483) all_118_1_71 = all_0_10_10
% 13.89/4.01 |
% 13.89/4.01 | Combining equations (477,482) yields a new equation:
% 13.89/4.01 | (484) all_118_2_72 = all_115_0_69
% 13.89/4.01 |
% 13.89/4.01 | Combining equations (478,482) yields a new equation:
% 14.36/4.01 | (485) all_118_2_72 = all_0_11_11
% 14.36/4.01 |
% 14.36/4.01 | Combining equations (484,485) yields a new equation:
% 14.36/4.01 | (486) all_115_0_69 = all_0_11_11
% 14.36/4.01 |
% 14.36/4.01 | Simplifying 486 yields:
% 14.36/4.01 | (487) all_115_0_69 = all_0_11_11
% 14.36/4.01 |
% 14.36/4.01 | Combining equations (485,482) yields a new equation:
% 14.36/4.01 | (478) all_123_2_76 = all_0_11_11
% 14.36/4.01 |
% 14.36/4.01 | Combining equations (483,471) yields a new equation:
% 14.36/4.01 | (470) all_123_1_75 = all_0_10_10
% 14.36/4.01 |
% 14.36/4.01 | Combining equations (485,468) yields a new equation:
% 14.36/4.01 | (490) all_126_0_77 = all_0_11_11
% 14.36/4.01 |
% 14.36/4.01 | Combining equations (478,467) yields a new equation:
% 14.36/4.01 | (491) all_135_0_82 = all_0_11_11
% 14.36/4.01 |
% 14.36/4.01 | From (487) and (434) follows:
% 14.36/4.01 | (56) k1_zfmisc_1(all_0_12_12) = all_0_11_11
% 14.36/4.01 |
% 14.36/4.01 | From (483) and (438) follows:
% 14.36/4.01 | (386) u1_pre_topc(all_0_8_8) = all_0_10_10
% 14.36/4.01 |
% 14.36/4.01 | From (472) and (457) follows:
% 14.36/4.01 | (16) u1_pre_topc(all_0_13_13) = all_0_10_10
% 14.36/4.01 |
% 14.36/4.01 | From (472) and (458) follows:
% 14.36/4.01 | (495) g1_pre_topc(all_0_12_12, all_0_10_10) = all_132_0_79
% 14.36/4.01 |
% 14.36/4.01 | From (470) and (444) follows:
% 14.36/4.01 | (496) g1_pre_topc(all_0_12_12, all_0_10_10) = all_123_0_74
% 14.36/4.01 |
% 14.36/4.01 | From (483) and (439) follows:
% 14.36/4.01 | (497) g1_pre_topc(all_0_12_12, all_0_10_10) = all_118_0_70
% 14.36/4.01 |
% 14.36/4.02 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_132_0_79, all_0_9_9 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_132_0_79, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, yields:
% 14.36/4.02 | (498) all_132_0_79 = all_0_9_9
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_123_0_74, all_132_0_79 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_132_0_79, g1_pre_topc(all_0_12_12, all_0_10_10) = all_123_0_74, yields:
% 14.36/4.02 | (499) all_132_0_79 = all_123_0_74
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_118_0_70, all_132_0_79 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_132_0_79, g1_pre_topc(all_0_12_12, all_0_10_10) = all_118_0_70, yields:
% 14.36/4.02 | (500) all_132_0_79 = all_118_0_70
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (500,499) yields a new equation:
% 14.36/4.02 | (501) all_123_0_74 = all_118_0_70
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (498,499) yields a new equation:
% 14.36/4.02 | (502) all_123_0_74 = all_0_9_9
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (501,502) yields a new equation:
% 14.36/4.02 | (503) all_118_0_70 = all_0_9_9
% 14.36/4.02 |
% 14.36/4.02 | Simplifying 503 yields:
% 14.36/4.02 | (504) all_118_0_70 = all_0_9_9
% 14.36/4.02 |
% 14.36/4.02 | From (504) and (497) follows:
% 14.36/4.02 | (4) g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (196) with all_0_12_12, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_12_12, l1_pre_topc(all_0_8_8), yields:
% 14.36/4.02 | (429) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_8_8) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_0_9_9) | ~ v1_tsp_1(v3, all_0_13_13) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_43_0_43) | v1_tsp_1(v3, all_0_8_8)))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (452) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 14.36/4.02 | (454) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_13_13) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_0_9_9) | ~ v1_tsp_1(v3, all_0_8_8) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_129_0_78) | v1_tsp_1(v3, all_0_13_13)))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (131) with all_0_12_12, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_12_12, l1_pre_topc(all_0_8_8), yields:
% 14.36/4.02 | (428) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_8_8) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_16_0_18) | ~ v1_tsp_1(v3, all_0_13_13) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_16_2_20) | v1_tsp_1(v3, all_0_8_8)))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (203) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 14.36/4.02 | (206) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_13_13) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_0_9_9) | ~ v1_tsp_1(v3, all_0_8_8) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_50_0_46) | v1_tsp_1(v3, all_0_13_13)))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (158) with all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, l1_pre_topc(all_0_13_13), yields:
% 14.36/4.02 | (161) ? [v0] : ? [v1] : ? [v2] : (k1_zfmisc_1(all_0_12_12) = v0 & u1_pre_topc(all_0_13_13) = v1 & g1_pre_topc(all_0_12_12, v1) = v2 & ! [v3] : ( ~ (v2 = all_26_0_27) | ~ v1_tsp_1(v3, all_0_8_8) | ~ m1_subset_1(v3, v0) | ~ m1_subset_1(v3, all_26_2_29) | v1_tsp_1(v3, all_0_13_13)))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating (429) with all_247_0_178, all_247_1_179, all_247_2_180 yields:
% 14.36/4.02 | (511) k1_zfmisc_1(all_0_12_12) = all_247_2_180 & u1_pre_topc(all_0_8_8) = all_247_1_179 & g1_pre_topc(all_0_12_12, all_247_1_179) = all_247_0_178 & ! [v0] : ( ~ (all_247_0_178 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_247_2_180) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 14.36/4.02 |
% 14.36/4.02 | Applying alpha-rule on (511) yields:
% 14.36/4.02 | (512) k1_zfmisc_1(all_0_12_12) = all_247_2_180
% 14.36/4.02 | (513) u1_pre_topc(all_0_8_8) = all_247_1_179
% 14.36/4.02 | (514) g1_pre_topc(all_0_12_12, all_247_1_179) = all_247_0_178
% 14.36/4.02 | (515) ! [v0] : ( ~ (all_247_0_178 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_247_2_180) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating (454) with all_250_0_181, all_250_1_182, all_250_2_183 yields:
% 14.36/4.02 | (516) k1_zfmisc_1(all_0_12_12) = all_250_2_183 & u1_pre_topc(all_0_13_13) = all_250_1_182 & g1_pre_topc(all_0_12_12, all_250_1_182) = all_250_0_181 & ! [v0] : ( ~ (all_250_0_181 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_250_2_183) | ~ m1_subset_1(v0, all_129_0_78) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.02 |
% 14.36/4.02 | Applying alpha-rule on (516) yields:
% 14.36/4.02 | (517) k1_zfmisc_1(all_0_12_12) = all_250_2_183
% 14.36/4.02 | (518) u1_pre_topc(all_0_13_13) = all_250_1_182
% 14.36/4.02 | (519) g1_pre_topc(all_0_12_12, all_250_1_182) = all_250_0_181
% 14.36/4.02 | (520) ! [v0] : ( ~ (all_250_0_181 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_250_2_183) | ~ m1_subset_1(v0, all_129_0_78) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating (428) with all_253_0_184, all_253_1_185, all_253_2_186 yields:
% 14.36/4.02 | (521) k1_zfmisc_1(all_0_12_12) = all_253_2_186 & u1_pre_topc(all_0_8_8) = all_253_1_185 & g1_pre_topc(all_0_12_12, all_253_1_185) = all_253_0_184 & ! [v0] : ( ~ (all_253_0_184 = all_16_0_18) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_253_2_186) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 14.36/4.02 |
% 14.36/4.02 | Applying alpha-rule on (521) yields:
% 14.36/4.02 | (522) k1_zfmisc_1(all_0_12_12) = all_253_2_186
% 14.36/4.02 | (523) u1_pre_topc(all_0_8_8) = all_253_1_185
% 14.36/4.02 | (524) g1_pre_topc(all_0_12_12, all_253_1_185) = all_253_0_184
% 14.36/4.02 | (525) ! [v0] : ( ~ (all_253_0_184 = all_16_0_18) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_253_2_186) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating (206) with all_256_0_187, all_256_1_188, all_256_2_189 yields:
% 14.36/4.02 | (526) k1_zfmisc_1(all_0_12_12) = all_256_2_189 & u1_pre_topc(all_0_13_13) = all_256_1_188 & g1_pre_topc(all_0_12_12, all_256_1_188) = all_256_0_187 & ! [v0] : ( ~ (all_256_0_187 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_256_2_189) | ~ m1_subset_1(v0, all_50_0_46) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.02 |
% 14.36/4.02 | Applying alpha-rule on (526) yields:
% 14.36/4.02 | (527) k1_zfmisc_1(all_0_12_12) = all_256_2_189
% 14.36/4.02 | (528) u1_pre_topc(all_0_13_13) = all_256_1_188
% 14.36/4.02 | (529) g1_pre_topc(all_0_12_12, all_256_1_188) = all_256_0_187
% 14.36/4.02 | (530) ! [v0] : ( ~ (all_256_0_187 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_256_2_189) | ~ m1_subset_1(v0, all_50_0_46) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating (161) with all_259_0_190, all_259_1_191, all_259_2_192 yields:
% 14.36/4.02 | (531) k1_zfmisc_1(all_0_12_12) = all_259_2_192 & u1_pre_topc(all_0_13_13) = all_259_1_191 & g1_pre_topc(all_0_12_12, all_259_1_191) = all_259_0_190 & ! [v0] : ( ~ (all_259_0_190 = all_26_0_27) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_259_2_192) | ~ m1_subset_1(v0, all_26_2_29) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.02 |
% 14.36/4.02 | Applying alpha-rule on (531) yields:
% 14.36/4.02 | (532) k1_zfmisc_1(all_0_12_12) = all_259_2_192
% 14.36/4.02 | (533) u1_pre_topc(all_0_13_13) = all_259_1_191
% 14.36/4.02 | (534) g1_pre_topc(all_0_12_12, all_259_1_191) = all_259_0_190
% 14.36/4.02 | (535) ! [v0] : ( ~ (all_259_0_190 = all_26_0_27) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_259_2_192) | ~ m1_subset_1(v0, all_26_2_29) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (39) with all_0_12_12, all_253_2_186, all_256_2_189 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_256_2_189, k1_zfmisc_1(all_0_12_12) = all_253_2_186, yields:
% 14.36/4.02 | (536) all_256_2_189 = all_253_2_186
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (39) with all_0_12_12, all_250_2_183, all_259_2_192 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_259_2_192, k1_zfmisc_1(all_0_12_12) = all_250_2_183, yields:
% 14.36/4.02 | (537) all_259_2_192 = all_250_2_183
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (39) with all_0_12_12, all_250_2_183, all_256_2_189 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_256_2_189, k1_zfmisc_1(all_0_12_12) = all_250_2_183, yields:
% 14.36/4.02 | (538) all_256_2_189 = all_250_2_183
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (39) with all_0_12_12, all_247_2_180, all_256_2_189 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_256_2_189, k1_zfmisc_1(all_0_12_12) = all_247_2_180, yields:
% 14.36/4.02 | (539) all_256_2_189 = all_247_2_180
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (39) with all_0_12_12, all_0_11_11, all_259_2_192 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_259_2_192, k1_zfmisc_1(all_0_12_12) = all_0_11_11, yields:
% 14.36/4.02 | (540) all_259_2_192 = all_0_11_11
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (31) with all_0_8_8, all_253_1_185, all_0_10_10 and discharging atoms u1_pre_topc(all_0_8_8) = all_253_1_185, u1_pre_topc(all_0_8_8) = all_0_10_10, yields:
% 14.36/4.02 | (541) all_253_1_185 = all_0_10_10
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (31) with all_0_8_8, all_247_1_179, all_253_1_185 and discharging atoms u1_pre_topc(all_0_8_8) = all_253_1_185, u1_pre_topc(all_0_8_8) = all_247_1_179, yields:
% 14.36/4.02 | (542) all_253_1_185 = all_247_1_179
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (31) with all_0_13_13, all_256_1_188, all_0_10_10 and discharging atoms u1_pre_topc(all_0_13_13) = all_256_1_188, u1_pre_topc(all_0_13_13) = all_0_10_10, yields:
% 14.36/4.02 | (543) all_256_1_188 = all_0_10_10
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (31) with all_0_13_13, all_256_1_188, all_259_1_191 and discharging atoms u1_pre_topc(all_0_13_13) = all_259_1_191, u1_pre_topc(all_0_13_13) = all_256_1_188, yields:
% 14.36/4.02 | (544) all_259_1_191 = all_256_1_188
% 14.36/4.02 |
% 14.36/4.02 | Instantiating formula (31) with all_0_13_13, all_250_1_182, all_259_1_191 and discharging atoms u1_pre_topc(all_0_13_13) = all_259_1_191, u1_pre_topc(all_0_13_13) = all_250_1_182, yields:
% 14.36/4.02 | (545) all_259_1_191 = all_250_1_182
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (544,545) yields a new equation:
% 14.36/4.02 | (546) all_256_1_188 = all_250_1_182
% 14.36/4.02 |
% 14.36/4.02 | Simplifying 546 yields:
% 14.36/4.02 | (547) all_256_1_188 = all_250_1_182
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (537,540) yields a new equation:
% 14.36/4.02 | (548) all_250_2_183 = all_0_11_11
% 14.36/4.02 |
% 14.36/4.02 | Simplifying 548 yields:
% 14.36/4.02 | (549) all_250_2_183 = all_0_11_11
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (543,547) yields a new equation:
% 14.36/4.02 | (550) all_250_1_182 = all_0_10_10
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (539,536) yields a new equation:
% 14.36/4.02 | (551) all_253_2_186 = all_247_2_180
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (538,536) yields a new equation:
% 14.36/4.02 | (552) all_253_2_186 = all_250_2_183
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (541,542) yields a new equation:
% 14.36/4.02 | (553) all_247_1_179 = all_0_10_10
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (552,551) yields a new equation:
% 14.36/4.02 | (554) all_250_2_183 = all_247_2_180
% 14.36/4.02 |
% 14.36/4.02 | Simplifying 554 yields:
% 14.36/4.02 | (555) all_250_2_183 = all_247_2_180
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (555,549) yields a new equation:
% 14.36/4.02 | (556) all_247_2_180 = all_0_11_11
% 14.36/4.02 |
% 14.36/4.02 | Simplifying 556 yields:
% 14.36/4.02 | (557) all_247_2_180 = all_0_11_11
% 14.36/4.02 |
% 14.36/4.02 | Combining equations (553,542) yields a new equation:
% 14.36/4.02 | (541) all_253_1_185 = all_0_10_10
% 14.36/4.02 |
% 14.36/4.03 | Combining equations (550,547) yields a new equation:
% 14.36/4.03 | (543) all_256_1_188 = all_0_10_10
% 14.36/4.03 |
% 14.36/4.03 | Combining equations (550,545) yields a new equation:
% 14.36/4.03 | (560) all_259_1_191 = all_0_10_10
% 14.36/4.03 |
% 14.36/4.03 | From (557) and (512) follows:
% 14.36/4.03 | (56) k1_zfmisc_1(all_0_12_12) = all_0_11_11
% 14.36/4.03 |
% 14.36/4.03 | From (553) and (513) follows:
% 14.36/4.03 | (386) u1_pre_topc(all_0_8_8) = all_0_10_10
% 14.36/4.03 |
% 14.36/4.03 | From (550) and (518) follows:
% 14.36/4.03 | (16) u1_pre_topc(all_0_13_13) = all_0_10_10
% 14.36/4.03 |
% 14.36/4.03 | From (560) and (534) follows:
% 14.36/4.03 | (564) g1_pre_topc(all_0_12_12, all_0_10_10) = all_259_0_190
% 14.36/4.03 |
% 14.36/4.03 | From (543) and (529) follows:
% 14.36/4.03 | (565) g1_pre_topc(all_0_12_12, all_0_10_10) = all_256_0_187
% 14.36/4.03 |
% 14.36/4.03 | From (541) and (524) follows:
% 14.36/4.03 | (566) g1_pre_topc(all_0_12_12, all_0_10_10) = all_253_0_184
% 14.36/4.03 |
% 14.36/4.03 | From (550) and (519) follows:
% 14.36/4.03 | (567) g1_pre_topc(all_0_12_12, all_0_10_10) = all_250_0_181
% 14.36/4.03 |
% 14.36/4.03 | From (553) and (514) follows:
% 14.36/4.03 | (568) g1_pre_topc(all_0_12_12, all_0_10_10) = all_247_0_178
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_259_0_190, all_0_9_9 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_259_0_190, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, yields:
% 14.36/4.03 | (569) all_259_0_190 = all_0_9_9
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_253_0_184, all_259_0_190 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_259_0_190, g1_pre_topc(all_0_12_12, all_0_10_10) = all_253_0_184, yields:
% 14.36/4.03 | (570) all_259_0_190 = all_253_0_184
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_250_0_181, all_259_0_190 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_259_0_190, g1_pre_topc(all_0_12_12, all_0_10_10) = all_250_0_181, yields:
% 14.36/4.03 | (571) all_259_0_190 = all_250_0_181
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_250_0_181, all_256_0_187 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_256_0_187, g1_pre_topc(all_0_12_12, all_0_10_10) = all_250_0_181, yields:
% 14.36/4.03 | (572) all_256_0_187 = all_250_0_181
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (6) with all_0_12_12, all_0_10_10, all_247_0_178, all_256_0_187 and discharging atoms g1_pre_topc(all_0_12_12, all_0_10_10) = all_256_0_187, g1_pre_topc(all_0_12_12, all_0_10_10) = all_247_0_178, yields:
% 14.36/4.03 | (573) all_256_0_187 = all_247_0_178
% 14.36/4.03 |
% 14.36/4.03 | Combining equations (569,570) yields a new equation:
% 14.36/4.03 | (574) all_253_0_184 = all_0_9_9
% 14.36/4.03 |
% 14.36/4.03 | Combining equations (571,570) yields a new equation:
% 14.36/4.03 | (575) all_253_0_184 = all_250_0_181
% 14.36/4.03 |
% 14.36/4.03 | Combining equations (572,573) yields a new equation:
% 14.36/4.03 | (576) all_250_0_181 = all_247_0_178
% 14.36/4.03 |
% 14.36/4.03 | Simplifying 576 yields:
% 14.36/4.03 | (577) all_250_0_181 = all_247_0_178
% 14.36/4.03 |
% 14.36/4.03 | Combining equations (575,574) yields a new equation:
% 14.36/4.03 | (578) all_250_0_181 = all_0_9_9
% 14.36/4.03 |
% 14.36/4.03 | Simplifying 578 yields:
% 14.36/4.03 | (579) all_250_0_181 = all_0_9_9
% 14.36/4.03 |
% 14.36/4.03 | Combining equations (579,577) yields a new equation:
% 14.36/4.03 | (580) all_247_0_178 = all_0_9_9
% 14.36/4.03 |
% 14.36/4.03 | From (580) and (568) follows:
% 14.36/4.03 | (4) g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (128) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_12_12, u1_pre_topc(all_0_8_8) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_8_8), yields:
% 14.36/4.03 | (431) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ (all_16_0_18 = all_0_9_9) | ~ v1_tsp_1(v1, all_0_13_13) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_16_2_20) | v1_tsp_1(v1, all_0_8_8)))
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (195) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_8_8 and discharging atoms u1_struct_0(all_0_8_8) = all_0_12_12, u1_pre_topc(all_0_8_8) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_8_8), yields:
% 14.36/4.03 | (432) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ v1_tsp_1(v1, all_0_13_13) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_43_0_43) | v1_tsp_1(v1, all_0_8_8)))
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (157) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, u1_pre_topc(all_0_13_13) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_13_13), yields:
% 14.36/4.03 | (160) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ (all_26_0_27 = all_0_9_9) | ~ v1_tsp_1(v1, all_0_8_8) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_26_2_29) | v1_tsp_1(v1, all_0_13_13)))
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (451) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, u1_pre_topc(all_0_13_13) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_13_13), yields:
% 14.36/4.03 | (453) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ v1_tsp_1(v1, all_0_8_8) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_129_0_78) | v1_tsp_1(v1, all_0_13_13)))
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (202) with all_0_9_9, all_0_10_10, all_0_12_12, all_0_13_13 and discharging atoms u1_struct_0(all_0_13_13) = all_0_12_12, u1_pre_topc(all_0_13_13) = all_0_10_10, g1_pre_topc(all_0_12_12, all_0_10_10) = all_0_9_9, l1_pre_topc(all_0_13_13), yields:
% 14.36/4.03 | (205) ? [v0] : (k1_zfmisc_1(all_0_12_12) = v0 & ! [v1] : ( ~ v1_tsp_1(v1, all_0_8_8) | ~ m1_subset_1(v1, v0) | ~ m1_subset_1(v1, all_50_0_46) | v1_tsp_1(v1, all_0_13_13)))
% 14.36/4.03 |
% 14.36/4.03 | Instantiating formula (125) with all_0_4_4 and discharging atoms v1_tsp_2(all_0_4_4, all_0_13_13), yields:
% 14.36/4.03 | (587) ~ m1_subset_1(all_0_4_4, all_13_0_17) | v1_tsp_1(all_0_4_4, all_0_13_13)
% 14.36/4.03 |
% 14.36/4.03 | Instantiating (205) with all_275_0_193 yields:
% 14.36/4.03 | (588) k1_zfmisc_1(all_0_12_12) = all_275_0_193 & ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_275_0_193) | ~ m1_subset_1(v0, all_50_0_46) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.03 |
% 14.36/4.03 | Applying alpha-rule on (588) yields:
% 14.36/4.03 | (589) k1_zfmisc_1(all_0_12_12) = all_275_0_193
% 14.36/4.03 | (590) ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_275_0_193) | ~ m1_subset_1(v0, all_50_0_46) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.03 |
% 14.36/4.03 | Instantiating (453) with all_278_0_194 yields:
% 14.36/4.03 | (591) k1_zfmisc_1(all_0_12_12) = all_278_0_194 & ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_278_0_194) | ~ m1_subset_1(v0, all_129_0_78) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.03 |
% 14.36/4.03 | Applying alpha-rule on (591) yields:
% 14.36/4.03 | (592) k1_zfmisc_1(all_0_12_12) = all_278_0_194
% 14.36/4.03 | (593) ! [v0] : ( ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_278_0_194) | ~ m1_subset_1(v0, all_129_0_78) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.03 |
% 14.36/4.03 | Instantiating (432) with all_281_0_195 yields:
% 14.36/4.03 | (594) k1_zfmisc_1(all_0_12_12) = all_281_0_195 & ! [v0] : ( ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_281_0_195) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 14.36/4.03 |
% 14.36/4.03 | Applying alpha-rule on (594) yields:
% 14.36/4.03 | (595) k1_zfmisc_1(all_0_12_12) = all_281_0_195
% 14.36/4.03 | (596) ! [v0] : ( ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_281_0_195) | ~ m1_subset_1(v0, all_43_0_43) | v1_tsp_1(v0, all_0_8_8))
% 14.36/4.03 |
% 14.36/4.03 | Instantiating (431) with all_284_0_196 yields:
% 14.36/4.03 | (597) k1_zfmisc_1(all_0_12_12) = all_284_0_196 & ! [v0] : ( ~ (all_16_0_18 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_284_0_196) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 14.36/4.03 |
% 14.36/4.03 | Applying alpha-rule on (597) yields:
% 14.36/4.03 | (598) k1_zfmisc_1(all_0_12_12) = all_284_0_196
% 14.36/4.03 | (599) ! [v0] : ( ~ (all_16_0_18 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_13_13) | ~ m1_subset_1(v0, all_284_0_196) | ~ m1_subset_1(v0, all_16_2_20) | v1_tsp_1(v0, all_0_8_8))
% 14.36/4.03 |
% 14.36/4.03 | Instantiating (160) with all_287_0_197 yields:
% 14.36/4.03 | (600) k1_zfmisc_1(all_0_12_12) = all_287_0_197 & ! [v0] : ( ~ (all_26_0_27 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_287_0_197) | ~ m1_subset_1(v0, all_26_2_29) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.03 |
% 14.36/4.03 | Applying alpha-rule on (600) yields:
% 14.36/4.03 | (601) k1_zfmisc_1(all_0_12_12) = all_287_0_197
% 14.36/4.03 | (602) ! [v0] : ( ~ (all_26_0_27 = all_0_9_9) | ~ v1_tsp_1(v0, all_0_8_8) | ~ m1_subset_1(v0, all_287_0_197) | ~ m1_subset_1(v0, all_26_2_29) | v1_tsp_1(v0, all_0_13_13))
% 14.36/4.03 |
% 14.36/4.03 +-Applying beta-rule and splitting (587), into two cases.
% 14.36/4.03 |-Branch one:
% 14.36/4.03 | (603) ~ m1_subset_1(all_0_4_4, all_13_0_17)
% 14.36/4.04 |
% 14.36/4.04 | From (342) and (603) follows:
% 14.36/4.04 | (604) ~ m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Using (49) and (604) yields:
% 14.36/4.04 | (605) $false
% 14.36/4.04 |
% 14.36/4.04 |-The branch is then unsatisfiable
% 14.36/4.04 |-Branch two:
% 14.36/4.04 | (606) m1_subset_1(all_0_4_4, all_13_0_17)
% 14.36/4.04 | (607) v1_tsp_1(all_0_4_4, all_0_13_13)
% 14.36/4.04 |
% 14.36/4.04 | From (342) and (606) follows:
% 14.36/4.04 | (49) m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (39) with all_0_12_12, all_287_0_197, all_0_11_11 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_287_0_197, k1_zfmisc_1(all_0_12_12) = all_0_11_11, yields:
% 14.36/4.04 | (609) all_287_0_197 = all_0_11_11
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (39) with all_0_12_12, all_281_0_195, all_287_0_197 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_287_0_197, k1_zfmisc_1(all_0_12_12) = all_281_0_195, yields:
% 14.36/4.04 | (610) all_287_0_197 = all_281_0_195
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (39) with all_0_12_12, all_278_0_194, all_287_0_197 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_287_0_197, k1_zfmisc_1(all_0_12_12) = all_278_0_194, yields:
% 14.36/4.04 | (611) all_287_0_197 = all_278_0_194
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (39) with all_0_12_12, all_278_0_194, all_284_0_196 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_284_0_196, k1_zfmisc_1(all_0_12_12) = all_278_0_194, yields:
% 14.36/4.04 | (612) all_284_0_196 = all_278_0_194
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (39) with all_0_12_12, all_275_0_193, all_284_0_196 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_284_0_196, k1_zfmisc_1(all_0_12_12) = all_275_0_193, yields:
% 14.36/4.04 | (613) all_284_0_196 = all_275_0_193
% 14.36/4.04 |
% 14.36/4.04 | Combining equations (609,610) yields a new equation:
% 14.36/4.04 | (614) all_281_0_195 = all_0_11_11
% 14.36/4.04 |
% 14.36/4.04 | Combining equations (611,610) yields a new equation:
% 14.36/4.04 | (615) all_281_0_195 = all_278_0_194
% 14.36/4.04 |
% 14.36/4.04 | Combining equations (612,613) yields a new equation:
% 14.36/4.04 | (616) all_278_0_194 = all_275_0_193
% 14.36/4.04 |
% 14.36/4.04 | Simplifying 616 yields:
% 14.36/4.04 | (617) all_278_0_194 = all_275_0_193
% 14.36/4.04 |
% 14.36/4.04 | Combining equations (615,614) yields a new equation:
% 14.36/4.04 | (618) all_278_0_194 = all_0_11_11
% 14.36/4.04 |
% 14.36/4.04 | Simplifying 618 yields:
% 14.36/4.04 | (619) all_278_0_194 = all_0_11_11
% 14.36/4.04 |
% 14.36/4.04 | Combining equations (619,617) yields a new equation:
% 14.36/4.04 | (620) all_275_0_193 = all_0_11_11
% 14.36/4.04 |
% 14.36/4.04 | Combining equations (620,617) yields a new equation:
% 14.36/4.04 | (619) all_278_0_194 = all_0_11_11
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (448) with all_0_4_4 and discharging atoms v1_tsp_1(all_0_4_4, all_0_13_13), yields:
% 14.36/4.04 | (622) ~ (all_16_0_18 = all_0_9_9) | ~ m1_subset_1(all_0_4_4, all_126_0_77) | ~ m1_subset_1(all_0_4_4, all_16_2_20) | v1_tsp_1(all_0_4_4, all_0_8_8)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (596) with all_0_4_4 and discharging atoms v1_tsp_1(all_0_4_4, all_0_13_13), yields:
% 14.36/4.04 | (623) ~ m1_subset_1(all_0_4_4, all_281_0_195) | ~ m1_subset_1(all_0_4_4, all_43_0_43) | v1_tsp_1(all_0_4_4, all_0_8_8)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (435) with all_0_4_4 and discharging atoms v1_tsp_1(all_0_4_4, all_0_13_13), yields:
% 14.36/4.04 | (624) ~ m1_subset_1(all_0_4_4, all_115_0_69) | ~ m1_subset_1(all_0_4_4, all_43_0_43) | v1_tsp_1(all_0_4_4, all_0_8_8)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (234) with all_0_4_4 and discharging atoms v1_tsp_1(all_0_4_4, all_0_13_13), yields:
% 14.36/4.04 | (625) ~ m1_subset_1(all_0_4_4, all_70_0_61) | ~ m1_subset_1(all_0_4_4, all_43_0_43) | v1_tsp_1(all_0_4_4, all_0_8_8)
% 14.36/4.04 |
% 14.36/4.04 +-Applying beta-rule and splitting (625), into two cases.
% 14.36/4.04 |-Branch one:
% 14.36/4.04 | (626) ~ m1_subset_1(all_0_4_4, all_70_0_61)
% 14.36/4.04 |
% 14.36/4.04 | From (424) and (626) follows:
% 14.36/4.04 | (604) ~ m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Using (49) and (604) yields:
% 14.36/4.04 | (605) $false
% 14.36/4.04 |
% 14.36/4.04 |-The branch is then unsatisfiable
% 14.36/4.04 |-Branch two:
% 14.36/4.04 | (629) m1_subset_1(all_0_4_4, all_70_0_61)
% 14.36/4.04 | (630) ~ m1_subset_1(all_0_4_4, all_43_0_43) | v1_tsp_1(all_0_4_4, all_0_8_8)
% 14.36/4.04 |
% 14.36/4.04 | From (424) and (629) follows:
% 14.36/4.04 | (49) m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 +-Applying beta-rule and splitting (624), into two cases.
% 14.36/4.04 |-Branch one:
% 14.36/4.04 | (632) ~ m1_subset_1(all_0_4_4, all_115_0_69)
% 14.36/4.04 |
% 14.36/4.04 | From (487) and (632) follows:
% 14.36/4.04 | (604) ~ m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Using (49) and (604) yields:
% 14.36/4.04 | (605) $false
% 14.36/4.04 |
% 14.36/4.04 |-The branch is then unsatisfiable
% 14.36/4.04 |-Branch two:
% 14.36/4.04 | (635) m1_subset_1(all_0_4_4, all_115_0_69)
% 14.36/4.04 | (630) ~ m1_subset_1(all_0_4_4, all_43_0_43) | v1_tsp_1(all_0_4_4, all_0_8_8)
% 14.36/4.04 |
% 14.36/4.04 | From (487) and (635) follows:
% 14.36/4.04 | (49) m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 +-Applying beta-rule and splitting (622), into two cases.
% 14.36/4.04 |-Branch one:
% 14.36/4.04 | (638) ~ m1_subset_1(all_0_4_4, all_126_0_77)
% 14.36/4.04 |
% 14.36/4.04 | From (490) and (638) follows:
% 14.36/4.04 | (604) ~ m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Using (49) and (604) yields:
% 14.36/4.04 | (605) $false
% 14.36/4.04 |
% 14.36/4.04 |-The branch is then unsatisfiable
% 14.36/4.04 |-Branch two:
% 14.36/4.04 | (641) m1_subset_1(all_0_4_4, all_126_0_77)
% 14.36/4.04 | (642) ~ (all_16_0_18 = all_0_9_9) | ~ m1_subset_1(all_0_4_4, all_16_2_20) | v1_tsp_1(all_0_4_4, all_0_8_8)
% 14.36/4.04 |
% 14.36/4.04 | From (490) and (641) follows:
% 14.36/4.04 | (49) m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 +-Applying beta-rule and splitting (623), into two cases.
% 14.36/4.04 |-Branch one:
% 14.36/4.04 | (644) ~ m1_subset_1(all_0_4_4, all_281_0_195)
% 14.36/4.04 |
% 14.36/4.04 | From (614) and (644) follows:
% 14.36/4.04 | (604) ~ m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Using (49) and (604) yields:
% 14.36/4.04 | (605) $false
% 14.36/4.04 |
% 14.36/4.04 |-The branch is then unsatisfiable
% 14.36/4.04 |-Branch two:
% 14.36/4.04 | (647) m1_subset_1(all_0_4_4, all_281_0_195)
% 14.36/4.04 | (630) ~ m1_subset_1(all_0_4_4, all_43_0_43) | v1_tsp_1(all_0_4_4, all_0_8_8)
% 14.36/4.04 |
% 14.36/4.04 | From (614) and (647) follows:
% 14.36/4.04 | (49) m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 +-Applying beta-rule and splitting (630), into two cases.
% 14.36/4.04 |-Branch one:
% 14.36/4.04 | (650) ~ m1_subset_1(all_0_4_4, all_43_0_43)
% 14.36/4.04 |
% 14.36/4.04 | From (348) and (650) follows:
% 14.36/4.04 | (604) ~ m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Using (49) and (604) yields:
% 14.36/4.04 | (605) $false
% 14.36/4.04 |
% 14.36/4.04 |-The branch is then unsatisfiable
% 14.36/4.04 |-Branch two:
% 14.36/4.04 | (653) m1_subset_1(all_0_4_4, all_43_0_43)
% 14.36/4.04 | (654) v1_tsp_1(all_0_4_4, all_0_8_8)
% 14.36/4.04 |
% 14.36/4.04 | From (348) and (653) follows:
% 14.36/4.04 | (49) m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (152) with all_0_4_4 and discharging atoms v1_tsp_1(all_0_4_4, all_0_8_8), ~ v1_tsp_2(all_0_4_4, all_0_8_8), yields:
% 14.36/4.04 | (656) ~ m1_subset_1(all_0_4_4, all_23_0_26) | ? [v0] : ( ~ (v0 = all_0_4_4) & r1_tarski(all_0_4_4, v0) & v1_tsp_1(v0, all_0_8_8) & m1_subset_1(v0, all_23_0_26))
% 14.36/4.04 |
% 14.36/4.04 +-Applying beta-rule and splitting (656), into two cases.
% 14.36/4.04 |-Branch one:
% 14.36/4.04 | (657) ~ m1_subset_1(all_0_4_4, all_23_0_26)
% 14.36/4.04 |
% 14.36/4.04 | From (422) and (657) follows:
% 14.36/4.04 | (604) ~ m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Using (49) and (604) yields:
% 14.36/4.04 | (605) $false
% 14.36/4.04 |
% 14.36/4.04 |-The branch is then unsatisfiable
% 14.36/4.04 |-Branch two:
% 14.36/4.04 | (660) m1_subset_1(all_0_4_4, all_23_0_26)
% 14.36/4.04 | (661) ? [v0] : ( ~ (v0 = all_0_4_4) & r1_tarski(all_0_4_4, v0) & v1_tsp_1(v0, all_0_8_8) & m1_subset_1(v0, all_23_0_26))
% 14.36/4.04 |
% 14.36/4.04 | Instantiating (661) with all_328_0_198 yields:
% 14.36/4.04 | (662) ~ (all_328_0_198 = all_0_4_4) & r1_tarski(all_0_4_4, all_328_0_198) & v1_tsp_1(all_328_0_198, all_0_8_8) & m1_subset_1(all_328_0_198, all_23_0_26)
% 14.36/4.04 |
% 14.36/4.04 | Applying alpha-rule on (662) yields:
% 14.36/4.04 | (663) ~ (all_328_0_198 = all_0_4_4)
% 14.36/4.04 | (664) r1_tarski(all_0_4_4, all_328_0_198)
% 14.36/4.04 | (665) v1_tsp_1(all_328_0_198, all_0_8_8)
% 14.36/4.04 | (666) m1_subset_1(all_328_0_198, all_23_0_26)
% 14.36/4.04 |
% 14.36/4.04 | From (422) and (666) follows:
% 14.36/4.04 | (667) m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | From (422) and (660) follows:
% 14.36/4.04 | (49) m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (239) with all_328_0_198 and discharging atoms v1_tsp_1(all_328_0_198, all_0_8_8), yields:
% 14.36/4.04 | (669) ~ (all_73_0_62 = all_0_9_9) | ~ m1_subset_1(all_328_0_198, all_73_2_64) | ~ m1_subset_1(all_328_0_198, all_50_0_46) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (590) with all_328_0_198 and discharging atoms v1_tsp_1(all_328_0_198, all_0_8_8), yields:
% 14.36/4.04 | (670) ~ m1_subset_1(all_328_0_198, all_275_0_193) | ~ m1_subset_1(all_328_0_198, all_50_0_46) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (242) with all_328_0_198 and discharging atoms v1_tsp_1(all_328_0_198, all_0_8_8), yields:
% 14.36/4.04 | (671) ~ m1_subset_1(all_328_0_198, all_76_0_65) | ~ m1_subset_1(all_328_0_198, all_50_0_46) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (593) with all_328_0_198 and discharging atoms v1_tsp_1(all_328_0_198, all_0_8_8), yields:
% 14.36/4.04 | (672) ~ m1_subset_1(all_328_0_198, all_278_0_194) | ~ m1_subset_1(all_328_0_198, all_129_0_78) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (462) with all_328_0_198 and discharging atoms v1_tsp_1(all_328_0_198, all_0_8_8), yields:
% 14.36/4.04 | (673) ~ m1_subset_1(all_328_0_198, all_135_0_82) | ~ m1_subset_1(all_328_0_198, all_129_0_78) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.04 |
% 14.36/4.04 | Instantiating formula (152) with all_328_0_198 and discharging atoms v1_tsp_1(all_328_0_198, all_0_8_8), yields:
% 14.36/4.04 | (674) ~ m1_subset_1(all_328_0_198, all_23_0_26) | v1_tsp_2(all_328_0_198, all_0_8_8) | ? [v0] : ( ~ (v0 = all_328_0_198) & r1_tarski(all_328_0_198, v0) & v1_tsp_1(v0, all_0_8_8) & m1_subset_1(v0, all_23_0_26))
% 14.36/4.04 |
% 14.36/4.04 +-Applying beta-rule and splitting (670), into two cases.
% 14.36/4.04 |-Branch one:
% 14.36/4.04 | (675) ~ m1_subset_1(all_328_0_198, all_275_0_193)
% 14.36/4.04 |
% 14.36/4.04 | From (620) and (675) follows:
% 14.36/4.04 | (676) ~ m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Using (667) and (676) yields:
% 14.36/4.04 | (605) $false
% 14.36/4.04 |
% 14.36/4.04 |-The branch is then unsatisfiable
% 14.36/4.04 |-Branch two:
% 14.36/4.04 | (678) m1_subset_1(all_328_0_198, all_275_0_193)
% 14.36/4.04 | (679) ~ m1_subset_1(all_328_0_198, all_50_0_46) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.04 |
% 14.36/4.04 | From (620) and (678) follows:
% 14.36/4.04 | (667) m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 +-Applying beta-rule and splitting (672), into two cases.
% 14.36/4.04 |-Branch one:
% 14.36/4.04 | (681) ~ m1_subset_1(all_328_0_198, all_278_0_194)
% 14.36/4.04 |
% 14.36/4.04 | From (619) and (681) follows:
% 14.36/4.04 | (676) ~ m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 | Using (667) and (676) yields:
% 14.36/4.04 | (605) $false
% 14.36/4.04 |
% 14.36/4.04 |-The branch is then unsatisfiable
% 14.36/4.04 |-Branch two:
% 14.36/4.04 | (684) m1_subset_1(all_328_0_198, all_278_0_194)
% 14.36/4.04 | (685) ~ m1_subset_1(all_328_0_198, all_129_0_78) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.04 |
% 14.36/4.04 | From (619) and (684) follows:
% 14.36/4.04 | (667) m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.04 |
% 14.36/4.04 +-Applying beta-rule and splitting (671), into two cases.
% 14.36/4.04 |-Branch one:
% 14.36/4.04 | (687) ~ m1_subset_1(all_328_0_198, all_76_0_65)
% 14.36/4.05 |
% 14.36/4.05 | From (355) and (687) follows:
% 14.36/4.05 | (676) ~ m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 | Using (667) and (676) yields:
% 14.36/4.05 | (605) $false
% 14.36/4.05 |
% 14.36/4.05 |-The branch is then unsatisfiable
% 14.36/4.05 |-Branch two:
% 14.36/4.05 | (690) m1_subset_1(all_328_0_198, all_76_0_65)
% 14.36/4.05 | (679) ~ m1_subset_1(all_328_0_198, all_50_0_46) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.05 |
% 14.36/4.05 | From (355) and (690) follows:
% 14.36/4.05 | (667) m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 +-Applying beta-rule and splitting (673), into two cases.
% 14.36/4.05 |-Branch one:
% 14.36/4.05 | (693) ~ m1_subset_1(all_328_0_198, all_135_0_82)
% 14.36/4.05 |
% 14.36/4.05 | From (491) and (693) follows:
% 14.36/4.05 | (676) ~ m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 | Using (667) and (676) yields:
% 14.36/4.05 | (605) $false
% 14.36/4.05 |
% 14.36/4.05 |-The branch is then unsatisfiable
% 14.36/4.05 |-Branch two:
% 14.36/4.05 | (696) m1_subset_1(all_328_0_198, all_135_0_82)
% 14.36/4.05 | (685) ~ m1_subset_1(all_328_0_198, all_129_0_78) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.05 |
% 14.36/4.05 | From (491) and (696) follows:
% 14.36/4.05 | (667) m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 +-Applying beta-rule and splitting (669), into two cases.
% 14.36/4.05 |-Branch one:
% 14.36/4.05 | (699) ~ m1_subset_1(all_328_0_198, all_73_2_64)
% 14.36/4.05 |
% 14.36/4.05 | From (354) and (699) follows:
% 14.36/4.05 | (676) ~ m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 | Using (667) and (676) yields:
% 14.36/4.05 | (605) $false
% 14.36/4.05 |
% 14.36/4.05 |-The branch is then unsatisfiable
% 14.36/4.05 |-Branch two:
% 14.36/4.05 | (702) m1_subset_1(all_328_0_198, all_73_2_64)
% 14.36/4.05 | (703) ~ (all_73_0_62 = all_0_9_9) | ~ m1_subset_1(all_328_0_198, all_50_0_46) | v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.05 |
% 14.36/4.05 | From (354) and (702) follows:
% 14.36/4.05 | (667) m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 +-Applying beta-rule and splitting (679), into two cases.
% 14.36/4.05 |-Branch one:
% 14.36/4.05 | (705) ~ m1_subset_1(all_328_0_198, all_50_0_46)
% 14.36/4.05 |
% 14.36/4.05 | From (423) and (705) follows:
% 14.36/4.05 | (676) ~ m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 | Using (667) and (676) yields:
% 14.36/4.05 | (605) $false
% 14.36/4.05 |
% 14.36/4.05 |-The branch is then unsatisfiable
% 14.36/4.05 |-Branch two:
% 14.36/4.05 | (708) m1_subset_1(all_328_0_198, all_50_0_46)
% 14.36/4.05 | (709) v1_tsp_1(all_328_0_198, all_0_13_13)
% 14.36/4.05 |
% 14.36/4.05 | From (423) and (708) follows:
% 14.36/4.05 | (667) m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 | Instantiating formula (123) with all_328_0_198, all_0_4_4 and discharging atoms r1_tarski(all_0_4_4, all_328_0_198), v1_tsp_1(all_328_0_198, all_0_13_13), v1_tsp_2(all_0_4_4, all_0_13_13), yields:
% 14.36/4.05 | (711) all_328_0_198 = all_0_4_4 | ~ m1_subset_1(all_328_0_198, all_13_0_17) | ~ m1_subset_1(all_0_4_4, all_13_0_17)
% 14.36/4.05 |
% 14.36/4.05 +-Applying beta-rule and splitting (674), into two cases.
% 14.36/4.05 |-Branch one:
% 14.36/4.05 | (712) ~ m1_subset_1(all_328_0_198, all_23_0_26)
% 14.36/4.05 |
% 14.36/4.05 | From (422) and (712) follows:
% 14.36/4.05 | (676) ~ m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 | Using (667) and (676) yields:
% 14.36/4.05 | (605) $false
% 14.36/4.05 |
% 14.36/4.05 |-The branch is then unsatisfiable
% 14.36/4.05 |-Branch two:
% 14.36/4.05 | (666) m1_subset_1(all_328_0_198, all_23_0_26)
% 14.36/4.05 | (716) v1_tsp_2(all_328_0_198, all_0_8_8) | ? [v0] : ( ~ (v0 = all_328_0_198) & r1_tarski(all_328_0_198, v0) & v1_tsp_1(v0, all_0_8_8) & m1_subset_1(v0, all_23_0_26))
% 14.36/4.05 |
% 14.36/4.05 | From (422) and (666) follows:
% 14.36/4.05 | (667) m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 +-Applying beta-rule and splitting (711), into two cases.
% 14.36/4.05 |-Branch one:
% 14.36/4.05 | (718) ~ m1_subset_1(all_328_0_198, all_13_0_17)
% 14.36/4.05 |
% 14.36/4.05 | From (342) and (718) follows:
% 14.36/4.05 | (676) ~ m1_subset_1(all_328_0_198, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 | Using (667) and (676) yields:
% 14.36/4.05 | (605) $false
% 14.36/4.05 |
% 14.36/4.05 |-The branch is then unsatisfiable
% 14.36/4.05 |-Branch two:
% 14.36/4.05 | (721) m1_subset_1(all_328_0_198, all_13_0_17)
% 14.36/4.05 | (722) all_328_0_198 = all_0_4_4 | ~ m1_subset_1(all_0_4_4, all_13_0_17)
% 14.36/4.05 |
% 14.36/4.05 +-Applying beta-rule and splitting (722), into two cases.
% 14.36/4.05 |-Branch one:
% 14.36/4.05 | (603) ~ m1_subset_1(all_0_4_4, all_13_0_17)
% 14.36/4.05 |
% 14.36/4.05 | From (342) and (603) follows:
% 14.36/4.05 | (604) ~ m1_subset_1(all_0_4_4, all_0_11_11)
% 14.36/4.05 |
% 14.36/4.05 | Using (49) and (604) yields:
% 14.36/4.05 | (605) $false
% 14.36/4.05 |
% 14.36/4.05 |-The branch is then unsatisfiable
% 14.36/4.05 |-Branch two:
% 14.36/4.05 | (606) m1_subset_1(all_0_4_4, all_13_0_17)
% 14.36/4.05 | (727) all_328_0_198 = all_0_4_4
% 14.36/4.05 |
% 14.36/4.05 | Equations (727) can reduce 663 to:
% 14.36/4.05 | (728) $false
% 14.36/4.05 |
% 14.36/4.05 |-The branch is then unsatisfiable
% 14.36/4.05 |-Branch two:
% 14.36/4.05 | (729) ~ (all_0_5_5 = all_0_10_10)
% 14.36/4.05 | (730) ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_12_12) = v0 & ~ m1_subset_1(all_0_10_10, v1))
% 14.36/4.05 |
% 14.36/4.05 | Instantiating (730) with all_101_0_199, all_101_1_200 yields:
% 14.36/4.05 | (731) k1_zfmisc_1(all_101_1_200) = all_101_0_199 & k1_zfmisc_1(all_0_12_12) = all_101_1_200 & ~ m1_subset_1(all_0_10_10, all_101_0_199)
% 14.36/4.05 |
% 14.36/4.05 | Applying alpha-rule on (731) yields:
% 14.36/4.05 | (732) k1_zfmisc_1(all_101_1_200) = all_101_0_199
% 14.36/4.05 | (733) k1_zfmisc_1(all_0_12_12) = all_101_1_200
% 14.36/4.05 | (734) ~ m1_subset_1(all_0_10_10, all_101_0_199)
% 14.36/4.05 |
% 14.36/4.05 +-Applying beta-rule and splitting (103), into two cases.
% 14.36/4.05 |-Branch one:
% 14.36/4.05 | (385) all_0_5_5 = all_0_10_10
% 14.36/4.05 |
% 14.36/4.05 | Equations (385) can reduce 729 to:
% 14.36/4.05 | (728) $false
% 14.36/4.05 |
% 14.36/4.05 |-The branch is then unsatisfiable
% 14.36/4.05 |-Branch two:
% 14.36/4.05 | (729) ~ (all_0_5_5 = all_0_10_10)
% 14.36/4.05 | (738) ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_7_7) = v0 & ~ m1_subset_1(all_0_5_5, v1))
% 14.36/4.05 |
% 14.36/4.05 | Instantiating (738) with all_107_0_201, all_107_1_202 yields:
% 14.36/4.05 | (739) k1_zfmisc_1(all_107_1_202) = all_107_0_201 & k1_zfmisc_1(all_0_7_7) = all_107_1_202 & ~ m1_subset_1(all_0_5_5, all_107_0_201)
% 14.36/4.05 |
% 14.36/4.05 | Applying alpha-rule on (739) yields:
% 14.36/4.05 | (740) k1_zfmisc_1(all_107_1_202) = all_107_0_201
% 14.36/4.05 | (741) k1_zfmisc_1(all_0_7_7) = all_107_1_202
% 14.36/4.05 | (742) ~ m1_subset_1(all_0_5_5, all_107_0_201)
% 14.36/4.05 |
% 14.36/4.05 | From (376) and (741) follows:
% 14.36/4.05 | (743) k1_zfmisc_1(all_0_12_12) = all_107_1_202
% 14.36/4.05 |
% 14.36/4.05 | Instantiating formula (39) with all_0_12_12, all_101_1_200, all_0_11_11 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_101_1_200, k1_zfmisc_1(all_0_12_12) = all_0_11_11, yields:
% 14.36/4.05 | (744) all_101_1_200 = all_0_11_11
% 14.36/4.05 |
% 14.36/4.05 | Instantiating formula (39) with all_0_12_12, all_29_1_31, all_107_1_202 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_107_1_202, k1_zfmisc_1(all_0_12_12) = all_29_1_31, yields:
% 14.36/4.05 | (745) all_107_1_202 = all_29_1_31
% 14.36/4.05 |
% 14.36/4.05 | Instantiating formula (39) with all_0_12_12, all_29_1_31, all_101_1_200 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_101_1_200, k1_zfmisc_1(all_0_12_12) = all_29_1_31, yields:
% 14.36/4.05 | (746) all_101_1_200 = all_29_1_31
% 14.36/4.05 |
% 14.36/4.05 | Instantiating formula (39) with all_0_12_12, all_21_1_24, all_107_1_202 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_107_1_202, k1_zfmisc_1(all_0_12_12) = all_21_1_24, yields:
% 14.36/4.05 | (747) all_107_1_202 = all_21_1_24
% 14.36/4.05 |
% 14.36/4.05 | Instantiating formula (39) with all_0_12_12, all_0_6_6, all_107_1_202 and discharging atoms k1_zfmisc_1(all_0_12_12) = all_107_1_202, k1_zfmisc_1(all_0_12_12) = all_0_6_6, yields:
% 14.36/4.05 | (748) all_107_1_202 = all_0_6_6
% 14.36/4.05 |
% 14.36/4.05 | Combining equations (748,747) yields a new equation:
% 14.36/4.05 | (394) all_21_1_24 = all_0_6_6
% 14.36/4.05 |
% 14.36/4.05 | Combining equations (745,747) yields a new equation:
% 14.36/4.05 | (750) all_29_1_31 = all_21_1_24
% 14.36/4.05 |
% 14.36/4.05 | Simplifying 750 yields:
% 14.36/4.05 | (393) all_29_1_31 = all_21_1_24
% 14.36/4.05 |
% 14.36/4.05 | Combining equations (746,744) yields a new equation:
% 14.36/4.05 | (752) all_29_1_31 = all_0_11_11
% 14.36/4.05 |
% 14.36/4.05 | Simplifying 752 yields:
% 14.36/4.05 | (392) all_29_1_31 = all_0_11_11
% 14.36/4.05 |
% 14.36/4.05 | Combining equations (393,392) yields a new equation:
% 14.36/4.05 | (417) all_21_1_24 = all_0_11_11
% 14.36/4.05 |
% 14.36/4.05 | Simplifying 417 yields:
% 14.36/4.05 | (418) all_21_1_24 = all_0_11_11
% 14.36/4.05 |
% 14.36/4.05 | Combining equations (394,418) yields a new equation:
% 14.36/4.05 | (420) all_0_6_6 = all_0_11_11
% 14.36/4.05 |
% 14.36/4.05 | Simplifying 420 yields:
% 14.36/4.05 | (421) all_0_6_6 = all_0_11_11
% 14.36/4.05 |
% 14.36/4.05 | Combining equations (418,747) yields a new equation:
% 14.36/4.05 | (758) all_107_1_202 = all_0_11_11
% 14.36/4.05 |
% 14.36/4.05 | From (758) and (740) follows:
% 14.36/4.06 | (759) k1_zfmisc_1(all_0_11_11) = all_107_0_201
% 14.36/4.06 |
% 14.36/4.06 | From (744) and (732) follows:
% 14.36/4.06 | (760) k1_zfmisc_1(all_0_11_11) = all_101_0_199
% 14.36/4.06 |
% 14.36/4.06 | From (392) and (163) follows:
% 14.36/4.06 | (761) k1_zfmisc_1(all_0_11_11) = all_29_0_30
% 14.36/4.06 |
% 14.36/4.06 | From (418) and (145) follows:
% 14.36/4.06 | (762) k1_zfmisc_1(all_0_11_11) = all_21_0_23
% 14.36/4.06 |
% 14.36/4.06 | From (421) and (358) follows:
% 14.36/4.06 | (763) k1_zfmisc_1(all_0_11_11) = all_34_0_34
% 14.36/4.06 |
% 14.36/4.06 | Instantiating formula (39) with all_0_11_11, all_101_0_199, all_39_0_38 and discharging atoms k1_zfmisc_1(all_0_11_11) = all_101_0_199, k1_zfmisc_1(all_0_11_11) = all_39_0_38, yields:
% 14.36/4.06 | (764) all_101_0_199 = all_39_0_38
% 14.36/4.06 |
% 14.36/4.06 | Instantiating formula (39) with all_0_11_11, all_101_0_199, all_107_0_201 and discharging atoms k1_zfmisc_1(all_0_11_11) = all_107_0_201, k1_zfmisc_1(all_0_11_11) = all_101_0_199, yields:
% 14.36/4.06 | (765) all_107_0_201 = all_101_0_199
% 14.36/4.06 |
% 14.36/4.06 | Instantiating formula (39) with all_0_11_11, all_34_0_34, all_101_0_199 and discharging atoms k1_zfmisc_1(all_0_11_11) = all_101_0_199, k1_zfmisc_1(all_0_11_11) = all_34_0_34, yields:
% 14.36/4.06 | (766) all_101_0_199 = all_34_0_34
% 14.36/4.06 |
% 14.36/4.06 | Instantiating formula (39) with all_0_11_11, all_29_0_30, all_107_0_201 and discharging atoms k1_zfmisc_1(all_0_11_11) = all_107_0_201, k1_zfmisc_1(all_0_11_11) = all_29_0_30, yields:
% 14.36/4.06 | (767) all_107_0_201 = all_29_0_30
% 14.36/4.06 |
% 14.36/4.06 | Instantiating formula (39) with all_0_11_11, all_21_0_23, all_34_0_34 and discharging atoms k1_zfmisc_1(all_0_11_11) = all_34_0_34, k1_zfmisc_1(all_0_11_11) = all_21_0_23, yields:
% 14.36/4.06 | (768) all_34_0_34 = all_21_0_23
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (765,767) yields a new equation:
% 14.36/4.06 | (769) all_101_0_199 = all_29_0_30
% 14.36/4.06 |
% 14.36/4.06 | Simplifying 769 yields:
% 14.36/4.06 | (770) all_101_0_199 = all_29_0_30
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (766,764) yields a new equation:
% 14.36/4.06 | (771) all_39_0_38 = all_34_0_34
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (770,764) yields a new equation:
% 14.36/4.06 | (772) all_39_0_38 = all_29_0_30
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (771,772) yields a new equation:
% 14.36/4.06 | (773) all_34_0_34 = all_29_0_30
% 14.36/4.06 |
% 14.36/4.06 | Simplifying 773 yields:
% 14.36/4.06 | (774) all_34_0_34 = all_29_0_30
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (768,774) yields a new equation:
% 14.36/4.06 | (775) all_29_0_30 = all_21_0_23
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (775,774) yields a new equation:
% 14.36/4.06 | (768) all_34_0_34 = all_21_0_23
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (775,767) yields a new equation:
% 14.36/4.06 | (777) all_107_0_201 = all_21_0_23
% 14.36/4.06 |
% 14.36/4.06 | From (768) and (375) follows:
% 14.36/4.06 | (148) m1_subset_1(all_0_5_5, all_21_0_23)
% 14.36/4.06 |
% 14.36/4.06 | From (777) and (742) follows:
% 14.36/4.06 | (779) ~ m1_subset_1(all_0_5_5, all_21_0_23)
% 14.36/4.06 |
% 14.36/4.06 | Using (148) and (779) yields:
% 14.36/4.06 | (605) $false
% 14.36/4.06 |
% 14.36/4.06 |-The branch is then unsatisfiable
% 14.36/4.06 |-Branch two:
% 14.36/4.06 | (781) ~ (all_0_7_7 = all_0_12_12)
% 14.36/4.06 | (730) ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_12_12) = v0 & ~ m1_subset_1(all_0_10_10, v1))
% 14.36/4.06 |
% 14.36/4.06 +-Applying beta-rule and splitting (105), into two cases.
% 14.36/4.06 |-Branch one:
% 14.36/4.06 | (376) all_0_7_7 = all_0_12_12
% 14.36/4.06 |
% 14.36/4.06 | Equations (376) can reduce 781 to:
% 14.36/4.06 | (728) $false
% 14.36/4.06 |
% 14.36/4.06 |-The branch is then unsatisfiable
% 14.36/4.06 |-Branch two:
% 14.36/4.06 | (781) ~ (all_0_7_7 = all_0_12_12)
% 14.36/4.06 | (738) ? [v0] : ? [v1] : (k1_zfmisc_1(v0) = v1 & k1_zfmisc_1(all_0_7_7) = v0 & ~ m1_subset_1(all_0_5_5, v1))
% 14.36/4.06 |
% 14.36/4.06 | Instantiating (738) with all_103_0_205, all_103_1_206 yields:
% 14.36/4.06 | (787) k1_zfmisc_1(all_103_1_206) = all_103_0_205 & k1_zfmisc_1(all_0_7_7) = all_103_1_206 & ~ m1_subset_1(all_0_5_5, all_103_0_205)
% 14.36/4.06 |
% 14.36/4.06 | Applying alpha-rule on (787) yields:
% 14.36/4.06 | (788) k1_zfmisc_1(all_103_1_206) = all_103_0_205
% 14.36/4.06 | (789) k1_zfmisc_1(all_0_7_7) = all_103_1_206
% 14.36/4.06 | (790) ~ m1_subset_1(all_0_5_5, all_103_0_205)
% 14.36/4.06 |
% 14.36/4.06 | Instantiating formula (39) with all_0_7_7, all_103_1_206, all_0_6_6 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_103_1_206, k1_zfmisc_1(all_0_7_7) = all_0_6_6, yields:
% 14.36/4.06 | (791) all_103_1_206 = all_0_6_6
% 14.36/4.06 |
% 14.36/4.06 | Instantiating formula (39) with all_0_7_7, all_21_1_24, all_103_1_206 and discharging atoms k1_zfmisc_1(all_0_7_7) = all_103_1_206, k1_zfmisc_1(all_0_7_7) = all_21_1_24, yields:
% 14.36/4.06 | (792) all_103_1_206 = all_21_1_24
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (791,792) yields a new equation:
% 14.36/4.06 | (394) all_21_1_24 = all_0_6_6
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (394,792) yields a new equation:
% 14.36/4.06 | (791) all_103_1_206 = all_0_6_6
% 14.36/4.06 |
% 14.36/4.06 | From (791) and (788) follows:
% 14.36/4.06 | (795) k1_zfmisc_1(all_0_6_6) = all_103_0_205
% 14.36/4.06 |
% 14.36/4.06 | From (394) and (145) follows:
% 14.36/4.06 | (796) k1_zfmisc_1(all_0_6_6) = all_21_0_23
% 14.36/4.06 |
% 14.36/4.06 | Instantiating formula (39) with all_0_6_6, all_103_0_205, all_34_0_34 and discharging atoms k1_zfmisc_1(all_0_6_6) = all_103_0_205, k1_zfmisc_1(all_0_6_6) = all_34_0_34, yields:
% 14.36/4.06 | (797) all_103_0_205 = all_34_0_34
% 14.36/4.06 |
% 14.36/4.06 | Instantiating formula (39) with all_0_6_6, all_21_0_23, all_103_0_205 and discharging atoms k1_zfmisc_1(all_0_6_6) = all_103_0_205, k1_zfmisc_1(all_0_6_6) = all_21_0_23, yields:
% 14.36/4.06 | (798) all_103_0_205 = all_21_0_23
% 14.36/4.06 |
% 14.36/4.06 | Combining equations (797,798) yields a new equation:
% 14.36/4.06 | (799) all_34_0_34 = all_21_0_23
% 14.36/4.06 |
% 14.36/4.06 | Simplifying 799 yields:
% 14.36/4.06 | (768) all_34_0_34 = all_21_0_23
% 14.36/4.06 |
% 14.36/4.06 | From (768) and (375) follows:
% 14.36/4.06 | (148) m1_subset_1(all_0_5_5, all_21_0_23)
% 14.36/4.06 |
% 14.36/4.06 | From (798) and (790) follows:
% 14.36/4.06 | (779) ~ m1_subset_1(all_0_5_5, all_21_0_23)
% 14.36/4.06 |
% 14.36/4.06 | Using (148) and (779) yields:
% 14.36/4.06 | (605) $false
% 14.36/4.06 |
% 14.36/4.06 |-The branch is then unsatisfiable
% 14.36/4.06 % SZS output end Proof for theBenchmark
% 14.36/4.06
% 14.36/4.06 3437ms
%------------------------------------------------------------------------------