TSTP Solution File: GRP642+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : GRP642+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.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 : Sat Jul 16 08:43:16 EDT 2022
% Result : Theorem 3.55s 1.41s
% Output : Proof 6.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : GRP642+1 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.09 % Command : ePrincess-casc -timeout=%d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Mon Jun 13 16:20:42 EDT 2022
% 0.07/0.28 % CPUTime :
% 0.12/0.48 ____ _
% 0.12/0.48 ___ / __ \_____(_)___ ________ __________
% 0.12/0.48 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.12/0.48 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.12/0.48 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.12/0.48
% 0.12/0.48 A Theorem Prover for First-Order Logic
% 0.12/0.48 (ePrincess v.1.0)
% 0.12/0.48
% 0.12/0.48 (c) Philipp Rümmer, 2009-2015
% 0.12/0.48 (c) Peter Backeman, 2014-2015
% 0.12/0.48 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.12/0.48 Free software under GNU Lesser General Public License (LGPL).
% 0.12/0.48 Bug reports to peter@backeman.se
% 0.12/0.48
% 0.12/0.48 For more information, visit http://user.uu.se/~petba168/breu/
% 0.12/0.48
% 0.12/0.48 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.12/0.53 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.38/0.81 Prover 0: Preprocessing ...
% 2.42/1.13 Prover 0: Warning: ignoring some quantifiers
% 2.66/1.16 Prover 0: Constructing countermodel ...
% 3.55/1.40 Prover 0: proved (873ms)
% 3.55/1.41
% 3.55/1.41 No countermodel exists, formula is valid
% 3.55/1.41 % SZS status Theorem for theBenchmark
% 3.55/1.41
% 3.55/1.41 Generating proof ... Warning: ignoring some quantifiers
% 5.65/1.86 found it (size 29)
% 5.65/1.86
% 5.65/1.86 % SZS output start Proof for theBenchmark
% 5.65/1.86 Assumed formulas after preprocessing and simplification:
% 5.65/1.86 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (k1_latsubgr(v0) = v1 & k1_funct_1(v1, v2) = k1_xboole_0 & l1_struct_0(v6) & l1_struct_0(v3) & v1_xboole_0(v5) & v1_xboole_0(k1_xboole_0) & m1_group_2(v2, v0) & v1_group_1(v2) & l1_group_1(v7) & l1_group_1(v0) & v4_group_1(v0) & v3_group_1(v0) & ~ v1_xboole_0(v4) & ~ v3_struct_0(v3) & ~ v3_struct_0(v0) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v9 | ~ (g1_group_1(v11, v12) = v10) | ~ (g1_group_1(v8, v9) = v10) | ~ v1_funct_1(v9) | ? [v13] : (k2_zfmisc_1(v8, v8) = v13 & ( ~ v1_funct_2(v9, v13, v8) | ~ m1_relset_1(v9, v13, v8)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = v8 | ~ (g1_group_1(v11, v12) = v10) | ~ (g1_group_1(v8, v9) = v10) | ~ v1_funct_1(v9) | ? [v13] : (k2_zfmisc_1(v8, v8) = v13 & ( ~ v1_funct_2(v9, v13, v8) | ~ m1_relset_1(v9, v13, v8)))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v8 | ~ (u1_struct_0(v8) = v9) | ~ (u1_group_1(v8) = v10) | ~ (g1_group_1(v9, v10) = v11) | ~ v1_group_1(v8) | ~ l1_group_1(v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (k1_funct_1(v11, v10) = v9) | ~ (k1_funct_1(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (k2_zfmisc_1(v11, v10) = v9) | ~ (k2_zfmisc_1(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v9 = v8 | ~ (g1_group_1(v11, v10) = v9) | ~ (g1_group_1(v11, v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (k2_zfmisc_1(v8, v9) = v11) | ~ m2_relset_1(v10, v8, v9) | ? [v12] : (k1_zfmisc_1(v11) = v12 & m1_subset_1(v10, v12))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (k1_zfmisc_1(v10) = v11) | ~ v1_xboole_0(v10) | ~ m1_subset_1(v9, v11) | ~ r2_hidden(v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (k1_zfmisc_1(v10) = v11) | ~ m1_subset_1(v9, v11) | ~ r2_hidden(v8, v9) | m1_subset_1(v8, v10)) & ? [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (k2_zfmisc_1(v9, v10) = v11) | v1_relat_1(v8) | ? [v12] : (k1_zfmisc_1(v11) = v12 & ~ m1_subset_1(v8, v12))) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (k1_latsubgr(v10) = v9) | ~ (k1_latsubgr(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (k1_group_3(v10) = v9) | ~ (k1_group_3(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (k1_zfmisc_1(v10) = v9) | ~ (k1_zfmisc_1(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (u1_struct_0(v10) = v9) | ~ (u1_struct_0(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (u1_group_1(v10) = v9) | ~ (u1_group_1(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (k2_zfmisc_1(v9, v9) = v10) | ~ (u1_struct_0(v8) = v9) | ~ l1_group_1(v8) | ? [v11] : (u1_group_1(v8) = v11 & m2_relset_1(v11, v10, v9) & v1_funct_2(v11, v10, v9) & v1_funct_1(v11))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (k2_zfmisc_1(v8, v9) = v10) | ~ v1_xboole_0(v10) | v1_xboole_0(v9) | v1_xboole_0(v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (k1_zfmisc_1(v9) = v10) | ~ r1_tarski(v8, v9) | m1_subset_1(v8, v10)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (k1_zfmisc_1(v9) = v10) | ~ m1_subset_1(v8, v10) | r1_tarski(v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ( ~ (g1_group_1(v8, v9) = v10) | ~ v1_funct_1(v9) | v1_group_1(v10) | ? [v11] : (k2_zfmisc_1(v8, v8) = v11 & ( ~ v1_funct_2(v9, v11, v8) | ~ m1_relset_1(v9, v11, v8)))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (g1_group_1(v8, v9) = v10) | ~ v1_funct_1(v9) | l1_group_1(v10) | ? [v11] : (k2_zfmisc_1(v8, v8) = v11 & ( ~ v1_funct_2(v9, v11, v8) | ~ m1_relset_1(v9, v11, v8)))) & ! [v8] : ! [v9] : ! [v10] : ( ~ m2_relset_1(v10, v8, v9) | m1_relset_1(v10, v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ( ~ v1_xboole_0(v10) | ~ v1_funct_2(v10, v8, v9) | ~ v1_funct_1(v10) | ~ m1_relset_1(v10, v8, v9) | v1_xboole_0(v9) | v1_xboole_0(v8)) & ! [v8] : ! [v9] : ! [v10] : ( ~ v1_funct_2(v10, v8, v9) | ~ v1_funct_1(v10) | ~ m1_relset_1(v10, v8, v9) | v1_xboole_0(v9) | v1_xboole_0(v8) | v1_partfun1(v10, v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ( ~ v1_funct_2(v10, v8, v9) | ~ v1_funct_1(v10) | ~ m1_relset_1(v10, v8, v9) | v1_xboole_0(v9) | v1_partfun1(v10, v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ( ~ v1_partfun1(v10, v8, v9) | ~ v1_funct_1(v10) | ~ m1_relset_1(v10, v8, v9) | v1_funct_2(v10, v8, v9)) & ! [v8] : ! [v9] : ! [v10] : ( ~ m1_relset_1(v10, v8, v9) | m2_relset_1(v10, v8, v9)) & ! [v8] : ! [v9] : (v9 = v8 | ~ v1_xboole_0(v9) | ~ v1_xboole_0(v8)) & ! [v8] : ! [v9] : ( ~ (k1_latsubgr(v8) = v9) | ~ l1_group_1(v8) | ~ v4_group_1(v8) | ~ v3_group_1(v8) | v1_funct_1(v9) | v3_struct_0(v8)) & ! [v8] : ! [v9] : ( ~ (k1_latsubgr(v8) = v9) | ~ l1_group_1(v8) | ~ v4_group_1(v8) | ~ v3_group_1(v8) | v3_struct_0(v8) | ? [v10] : ? [v11] : ? [v12] : (k1_group_3(v8) = v10 & k1_zfmisc_1(v11) = v12 & u1_struct_0(v8) = v11 & m2_relset_1(v9, v10, v12) & v1_funct_2(v9, v10, v12))) & ! [v8] : ! [v9] : ( ~ (k1_latsubgr(v8) = v9) | ~ l1_group_1(v8) | ~ v4_group_1(v8) | ~ v3_group_1(v8) | v3_struct_0(v8) | ? [v10] : ? [v11] : ? [v12] : (k1_group_3(v8) = v10 & k1_zfmisc_1(v11) = v12 & u1_struct_0(v8) = v11 & ! [v13] : ! [v14] : ( ~ (k1_funct_1(v9, v13) = v14) | ~ m2_relset_1(v9, v10, v12) | ~ v1_funct_2(v9, v10, v12) | ~ v1_funct_1(v9) | ~ m1_group_2(v13, v8) | ~ v1_group_1(v13) | u1_struct_0(v13) = v14) & ! [v13] : ! [v14] : ( ~ (u1_struct_0(v13) = v14) | ~ m2_relset_1(v9, v10, v12) | ~ v1_funct_2(v9, v10, v12) | ~ v1_funct_1(v9) | ~ m1_group_2(v13, v8) | ~ v1_group_1(v13) | k1_funct_1(v9, v13) = v14) & ! [v13] : (v13 = v9 | ~ m2_relset_1(v13, v10, v12) | ~ v1_funct_2(v13, v10, v12) | ~ v1_funct_1(v13) | ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = v15) & k1_funct_1(v13, v14) = v15 & u1_struct_0(v14) = v16 & m1_group_2(v14, v8) & v1_group_1(v14))))) & ! [v8] : ! [v9] : ( ~ (k1_group_3(v8) = v9) | ~ v1_xboole_0(v9) | ~ l1_group_1(v8) | ~ v4_group_1(v8) | ~ v3_group_1(v8) | v3_struct_0(v8)) & ! [v8] : ! [v9] : ( ~ (k1_group_3(v8) = v9) | ~ l1_group_1(v8) | ~ v4_group_1(v8) | ~ v3_group_1(v8) | v3_struct_0(v8) | ? [v10] : ? [v11] : ? [v12] : (k1_latsubgr(v8) = v12 & k1_zfmisc_1(v10) = v11 & u1_struct_0(v8) = v10 & ! [v13] : ! [v14] : ( ~ (k1_funct_1(v12, v13) = v14) | ~ m2_relset_1(v12, v9, v11) | ~ v1_funct_2(v12, v9, v11) | ~ v1_funct_1(v12) | ~ m1_group_2(v13, v8) | ~ v1_group_1(v13) | u1_struct_0(v13) = v14) & ! [v13] : ! [v14] : ( ~ (u1_struct_0(v13) = v14) | ~ m2_relset_1(v12, v9, v11) | ~ v1_funct_2(v12, v9, v11) | ~ v1_funct_1(v12) | ~ m1_group_2(v13, v8) | ~ v1_group_1(v13) | k1_funct_1(v12, v13) = v14) & ! [v13] : (v13 = v12 | ~ m2_relset_1(v13, v9, v11) | ~ v1_funct_2(v13, v9, v11) | ~ v1_funct_1(v13) | ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = v15) & k1_funct_1(v13, v14) = v15 & u1_struct_0(v14) = v16 & m1_group_2(v14, v8) & v1_group_1(v14))))) & ! [v8] : ! [v9] : ( ~ (k1_group_3(v8) = v9) | ~ l1_group_1(v8) | ~ v4_group_1(v8) | ~ v3_group_1(v8) | v3_struct_0(v8) | ? [v10] : ? [v11] : ? [v12] : (k1_latsubgr(v8) = v10 & k1_zfmisc_1(v11) = v12 & u1_struct_0(v8) = v11 & m2_relset_1(v10, v9, v12) & v1_funct_2(v10, v9, v12) & v1_funct_1(v10))) & ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v8) = v9) | ~ v1_xboole_0(v9)) & ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v8) = v9) | v1_xboole_0(v8) | ? [v10] : (m1_subset_1(v10, v9) & ~ v1_xboole_0(v10))) & ! [v8] : ! [v9] : ( ~ (k1_zfmisc_1(v8) = v9) | ? [v10] : (v1_xboole_0(v10) & m1_subset_1(v10, v9))) & ! [v8] : ! [v9] : ( ~ (u1_struct_0(v8) = v9) | ~ l1_struct_0(v8) | ~ v1_xboole_0(v9) | v3_struct_0(v8)) & ! [v8] : ! [v9] : ( ~ (u1_struct_0(v8) = v9) | ~ l1_struct_0(v8) | v3_struct_0(v8) | ? [v10] : ? [v11] : (k1_zfmisc_1(v9) = v10 & m1_subset_1(v11, v10) & ~ v1_xboole_0(v11))) & ! [v8] : ! [v9] : ( ~ (u1_struct_0(v8) = v9) | ~ l1_group_1(v8) | ~ v4_group_1(v8) | ~ v3_group_1(v8) | v3_struct_0(v8) | ? [v10] : ? [v11] : ? [v12] : (k1_latsubgr(v8) = v12 & k1_group_3(v8) = v10 & k1_zfmisc_1(v9) = v11 & ! [v13] : ! [v14] : ( ~ (k1_funct_1(v12, v13) = v14) | ~ m2_relset_1(v12, v10, v11) | ~ v1_funct_2(v12, v10, v11) | ~ v1_funct_1(v12) | ~ m1_group_2(v13, v8) | ~ v1_group_1(v13) | u1_struct_0(v13) = v14) & ! [v13] : ! [v14] : ( ~ (u1_struct_0(v13) = v14) | ~ m2_relset_1(v12, v10, v11) | ~ v1_funct_2(v12, v10, v11) | ~ v1_funct_1(v12) | ~ m1_group_2(v13, v8) | ~ v1_group_1(v13) | k1_funct_1(v12, v13) = v14) & ! [v13] : (v13 = v12 | ~ m2_relset_1(v13, v10, v11) | ~ v1_funct_2(v13, v10, v11) | ~ v1_funct_1(v13) | ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = v15) & k1_funct_1(v13, v14) = v15 & u1_struct_0(v14) = v16 & m1_group_2(v14, v8) & v1_group_1(v14))))) & ! [v8] : ! [v9] : ( ~ (u1_struct_0(v8) = v9) | ~ l1_group_1(v8) | ~ v4_group_1(v8) | ~ v3_group_1(v8) | v3_struct_0(v8) | ? [v10] : ? [v11] : ? [v12] : (k1_latsubgr(v8) = v10 & k1_group_3(v8) = v11 & k1_zfmisc_1(v9) = v12 & m2_relset_1(v10, v11, v12) & v1_funct_2(v10, v11, v12) & v1_funct_1(v10))) & ! [v8] : ! [v9] : ( ~ (u1_struct_0(v8) = v9) | ~ l1_group_1(v8) | ? [v10] : ? [v11] : (k2_zfmisc_1(v9, v9) = v11 & u1_group_1(v8) = v10 & m2_relset_1(v10, v11, v9) & v1_funct_2(v10, v11, v9) & v1_funct_1(v10))) & ! [v8] : ! [v9] : ( ~ (u1_group_1(v8) = v9) | ~ l1_group_1(v8) | v1_funct_1(v9)) & ! [v8] : ! [v9] : ( ~ (u1_group_1(v8) = v9) | ~ l1_group_1(v8) | ? [v10] : ? [v11] : (k2_zfmisc_1(v10, v10) = v11 & u1_struct_0(v8) = v10 & m2_relset_1(v9, v11, v10) & v1_funct_2(v9, v11, v10))) & ! [v8] : ! [v9] : ( ~ v1_xboole_0(v9) | ~ r2_hidden(v8, v9)) & ! [v8] : ! [v9] : ( ~ m1_subset_1(v8, v9) | v1_xboole_0(v9) | r2_hidden(v8, v9)) & ! [v8] : ! [v9] : ( ~ r2_hidden(v9, v8) | ~ r2_hidden(v8, v9)) & ! [v8] : ! [v9] : ( ~ r2_hidden(v8, v9) | m1_subset_1(v8, v9)) & ! [v8] : ! [v9] : ( ~ m1_group_2(v9, v8) | ~ l1_group_1(v8) | ~ v3_group_1(v8) | ~ v3_struct_0(v9) | v3_struct_0(v8)) & ! [v8] : ! [v9] : ( ~ m1_group_2(v9, v8) | ~ l1_group_1(v8) | ~ v3_group_1(v8) | l1_group_1(v9) | v3_struct_0(v8)) & ! [v8] : ! [v9] : ( ~ m1_group_2(v9, v8) | ~ l1_group_1(v8) | ~ v3_group_1(v8) | v3_group_1(v9) | v3_struct_0(v8)) & ! [v8] : (v8 = k1_xboole_0 | ~ v1_xboole_0(v8)) & ! [v8] : ( ~ l1_group_1(v8) | ~ v3_group_1(v8) | v3_struct_0(v8) | ? [v9] : m1_group_2(v9, v8)) & ! [v8] : ( ~ l1_group_1(v8) | l1_struct_0(v8)) & ? [v8] : ? [v9] : ? [v10] : m2_relset_1(v10, v8, v9) & ? [v8] : ? [v9] : ? [v10] : m1_relset_1(v10, v8, v9) & ? [v8] : ? [v9] : ? [v10] : (v1_relat_1(v10) & v1_funct_2(v10, v8, v9) & v1_funct_1(v10) & m1_relset_1(v10, v8, v9)) & ? [v8] : ? [v9] : ? [v10] : (v1_relat_1(v10) & v1_funct_1(v10) & m1_relset_1(v10, v8, v9)) & ? [v8] : ? [v9] : m1_subset_1(v9, v8) & ? [v8] : r1_tarski(v8, v8))
% 5.65/1.92 | 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 yields:
% 5.65/1.92 | (1) k1_latsubgr(all_0_7_7) = all_0_6_6 & k1_funct_1(all_0_6_6, all_0_5_5) = k1_xboole_0 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_4_4) & v1_xboole_0(all_0_2_2) & v1_xboole_0(k1_xboole_0) & m1_group_2(all_0_5_5, all_0_7_7) & v1_group_1(all_0_5_5) & l1_group_1(all_0_0_0) & l1_group_1(all_0_7_7) & v4_group_1(all_0_7_7) & v3_group_1(all_0_7_7) & ~ v1_xboole_0(all_0_3_3) & ~ v3_struct_0(all_0_4_4) & ~ v3_struct_0(all_0_7_7) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (g1_group_1(v3, v4) = v2) | ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) | ~ m1_relset_1(v1, v5, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | ~ (g1_group_1(v3, v4) = v2) | ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) | ~ m1_relset_1(v1, v5, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u1_group_1(v0) = v2) | ~ (g1_group_1(v1, v2) = v3) | ~ v1_group_1(v0) | ~ l1_group_1(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (g1_group_1(v3, v2) = v1) | ~ (g1_group_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) | ? [v4] : (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_latsubgr(v2) = v1) | ~ (k1_latsubgr(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_group_3(v2) = v1) | ~ (k1_group_3(v2) = v0)) & ! [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_group_1(v2) = v1) | ~ (u1_group_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ? [v3] : (u1_group_1(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | v1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | l1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_xboole_0(v2) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0) | v1_partfun1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_partfun1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_partfun1(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_funct_2(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_latsubgr(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v1_funct_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_latsubgr(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_group_3(v0) = v2 & k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4))) & ! [v0] : ! [v1] : ( ~ (k1_latsubgr(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_group_3(v0) = v2 & k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & ! [v5] : ! [v6] : ( ~ (k1_funct_1(v1, v5) = v6) | ~ m2_relset_1(v1, v2, v4) | ~ v1_funct_2(v1, v2, v4) | ~ v1_funct_1(v1) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | u1_struct_0(v5) = v6) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ m2_relset_1(v1, v2, v4) | ~ v1_funct_2(v1, v2, v4) | ~ v1_funct_1(v1) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | k1_funct_1(v1, v5) = v6) & ! [v5] : (v5 = v1 | ~ m2_relset_1(v5, v2, v4) | ~ v1_funct_2(v5, v2, v4) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v7) & k1_funct_1(v5, v6) = v7 & u1_struct_0(v6) = v8 & m1_group_2(v6, v0) & v1_group_1(v6))))) & ! [v0] : ! [v1] : ( ~ (k1_group_3(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (k1_group_3(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_latsubgr(v0) = v4 & k1_zfmisc_1(v2) = v3 & u1_struct_0(v0) = v2 & ! [v5] : ! [v6] : ( ~ (k1_funct_1(v4, v5) = v6) | ~ m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | u1_struct_0(v5) = v6) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | k1_funct_1(v4, v5) = v6) & ! [v5] : (v5 = v4 | ~ m2_relset_1(v5, v1, v3) | ~ v1_funct_2(v5, v1, v3) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v7) & k1_funct_1(v5, v6) = v7 & u1_struct_0(v6) = v8 & m1_group_2(v6, v0) & v1_group_1(v6))))) & ! [v0] : ! [v1] : ( ~ (k1_group_3(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_latsubgr(v0) = v2 & k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & m2_relset_1(v2, v1, v4) & v1_funct_2(v2, v1, v4) & v1_funct_1(v2))) & ! [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_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_latsubgr(v0) = v4 & k1_group_3(v0) = v2 & k1_zfmisc_1(v1) = v3 & ! [v5] : ! [v6] : ( ~ (k1_funct_1(v4, v5) = v6) | ~ m2_relset_1(v4, v2, v3) | ~ v1_funct_2(v4, v2, v3) | ~ v1_funct_1(v4) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | u1_struct_0(v5) = v6) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ m2_relset_1(v4, v2, v3) | ~ v1_funct_2(v4, v2, v3) | ~ v1_funct_1(v4) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | k1_funct_1(v4, v5) = v6) & ! [v5] : (v5 = v4 | ~ m2_relset_1(v5, v2, v3) | ~ v1_funct_2(v5, v2, v3) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v7) & k1_funct_1(v5, v6) = v7 & u1_struct_0(v6) = v8 & m1_group_2(v6, v0) & v1_group_1(v6))))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_latsubgr(v0) = v2 & k1_group_3(v0) = v3 & k1_zfmisc_1(v1) = v4 & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3, v4) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_group_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2))) & ! [v0] : ! [v1] : ( ~ (u1_group_1(v0) = v1) | ~ l1_group_1(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (u1_group_1(v0) = v1) | ~ l1_group_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2))) & ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1)) & ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1)) & ! [v0] : ! [v1] : ( ~ m1_group_2(v1, v0) | ~ l1_group_1(v0) | ~ v3_group_1(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_group_2(v1, v0) | ~ l1_group_1(v0) | ~ v3_group_1(v0) | l1_group_1(v1) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ( ~ m1_group_2(v1, v0) | ~ l1_group_1(v0) | ~ v3_group_1(v0) | v3_group_1(v1) | v3_struct_0(v0)) & ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ l1_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v1] : m1_group_2(v1, v0)) & ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0)) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : (v1_relat_1(v2) & v1_funct_2(v2, v0, v1) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1)) & ? [v0] : ? [v1] : ? [v2] : (v1_relat_1(v2) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1)) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0)
% 6.05/1.94 |
% 6.05/1.94 | Applying alpha-rule on (1) yields:
% 6.05/1.94 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 6.05/1.94 | (3) ~ v3_struct_0(all_0_4_4)
% 6.05/1.94 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k1_funct_1(v3, v2) = v1) | ~ (k1_funct_1(v3, v2) = v0))
% 6.05/1.94 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ m2_relset_1(v2, v0, v1) | ? [v4] : (k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4)))
% 6.05/1.94 | (6) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 6.05/1.94 | (7) ~ v1_xboole_0(all_0_3_3)
% 6.05/1.94 | (8) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 6.05/1.94 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_xboole_0(v2) | ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 6.05/1.94 | (10) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 6.05/1.94 | (11) ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k2_zfmisc_1(v1, v2) = v3) | v1_relat_1(v0) | ? [v4] : (k1_zfmisc_1(v3) = v4 & ~ m1_subset_1(v0, v4)))
% 6.05/1.94 | (12) v1_xboole_0(all_0_2_2)
% 6.05/1.94 | (13) v3_group_1(all_0_7_7)
% 6.05/1.94 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 6.05/1.94 | (15) ~ v3_struct_0(all_0_7_7)
% 6.05/1.94 | (16) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 6.05/1.94 | (17) ! [v0] : ! [v1] : ( ~ (k1_group_3(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_latsubgr(v0) = v2 & k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & m2_relset_1(v2, v1, v4) & v1_funct_2(v2, v1, v4) & v1_funct_1(v2)))
% 6.05/1.94 | (18) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 6.05/1.94 | (19) ! [v0] : ( ~ l1_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v1] : m1_group_2(v1, v0))
% 6.05/1.94 | (20) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v1, v1) = v3 & u1_group_1(v0) = v2 & m2_relset_1(v2, v3, v1) & v1_funct_2(v2, v3, v1) & v1_funct_1(v2)))
% 6.05/1.95 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 6.05/1.95 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 6.05/1.95 | (23) k1_funct_1(all_0_6_6, all_0_5_5) = k1_xboole_0
% 6.05/1.95 | (24) ! [v0] : ! [v1] : ( ~ (k1_group_3(v0) = v1) | ~ v1_xboole_0(v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0))
% 6.05/1.95 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 6.05/1.95 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 6.05/1.95 | (27) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 6.05/1.95 | (28) ! [v0] : ! [v1] : ( ~ m1_group_2(v1, v0) | ~ l1_group_1(v0) | ~ v3_group_1(v0) | ~ v3_struct_0(v1) | v3_struct_0(v0))
% 6.05/1.95 | (29) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | v1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0))))
% 6.05/1.95 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_group_1(v2) = v1) | ~ (u1_group_1(v2) = v0))
% 6.05/1.95 | (31) l1_struct_0(all_0_1_1)
% 6.05/1.95 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 6.05/1.95 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_partfun1(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_funct_2(v2, v0, v1))
% 6.05/1.95 | (34) k1_latsubgr(all_0_7_7) = all_0_6_6
% 6.05/1.95 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2))
% 6.05/1.95 | (36) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_latsubgr(v0) = v4 & k1_group_3(v0) = v2 & k1_zfmisc_1(v1) = v3 & ! [v5] : ! [v6] : ( ~ (k1_funct_1(v4, v5) = v6) | ~ m2_relset_1(v4, v2, v3) | ~ v1_funct_2(v4, v2, v3) | ~ v1_funct_1(v4) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | u1_struct_0(v5) = v6) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ m2_relset_1(v4, v2, v3) | ~ v1_funct_2(v4, v2, v3) | ~ v1_funct_1(v4) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | k1_funct_1(v4, v5) = v6) & ! [v5] : (v5 = v4 | ~ m2_relset_1(v5, v2, v3) | ~ v1_funct_2(v5, v2, v3) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v7) & k1_funct_1(v5, v6) = v7 & u1_struct_0(v6) = v8 & m1_group_2(v6, v0) & v1_group_1(v6)))))
% 6.05/1.95 | (37) ! [v0] : ! [v1] : ( ~ (k1_group_3(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_latsubgr(v0) = v4 & k1_zfmisc_1(v2) = v3 & u1_struct_0(v0) = v2 & ! [v5] : ! [v6] : ( ~ (k1_funct_1(v4, v5) = v6) | ~ m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | u1_struct_0(v5) = v6) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ m2_relset_1(v4, v1, v3) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | k1_funct_1(v4, v5) = v6) & ! [v5] : (v5 = v4 | ~ m2_relset_1(v5, v1, v3) | ~ v1_funct_2(v5, v1, v3) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v7) & k1_funct_1(v5, v6) = v7 & u1_struct_0(v6) = v8 & m1_group_2(v6, v0) & v1_group_1(v6)))))
% 6.05/1.95 | (38) v4_group_1(all_0_7_7)
% 6.05/1.95 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_partfun1(v2, v0, v1))
% 6.05/1.95 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v0 | ~ (g1_group_1(v3, v4) = v2) | ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) | ~ m1_relset_1(v1, v5, v0))))
% 6.05/1.96 | (41) ! [v0] : ! [v1] : ( ~ (k1_latsubgr(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_group_3(v0) = v2 & k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & m2_relset_1(v1, v2, v4) & v1_funct_2(v1, v2, v4)))
% 6.05/1.96 | (42) ? [v0] : r1_tarski(v0, v0)
% 6.05/1.96 | (43) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 6.05/1.96 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u1_group_1(v0) = v2) | ~ (g1_group_1(v1, v2) = v3) | ~ v1_group_1(v0) | ~ l1_group_1(v0))
% 6.05/1.96 | (45) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 6.05/1.96 | (46) ! [v0] : ! [v1] : ( ~ (k1_latsubgr(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v1_funct_1(v1) | v3_struct_0(v0))
% 6.05/1.96 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v1, v1) = v2) | ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ? [v3] : (u1_group_1(v0) = v3 & m2_relset_1(v3, v2, v1) & v1_funct_2(v3, v2, v1) & v1_funct_1(v3)))
% 6.05/1.96 | (48) ! [v0] : ! [v1] : ( ~ (k1_latsubgr(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_group_3(v0) = v2 & k1_zfmisc_1(v3) = v4 & u1_struct_0(v0) = v3 & ! [v5] : ! [v6] : ( ~ (k1_funct_1(v1, v5) = v6) | ~ m2_relset_1(v1, v2, v4) | ~ v1_funct_2(v1, v2, v4) | ~ v1_funct_1(v1) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | u1_struct_0(v5) = v6) & ! [v5] : ! [v6] : ( ~ (u1_struct_0(v5) = v6) | ~ m2_relset_1(v1, v2, v4) | ~ v1_funct_2(v1, v2, v4) | ~ v1_funct_1(v1) | ~ m1_group_2(v5, v0) | ~ v1_group_1(v5) | k1_funct_1(v1, v5) = v6) & ! [v5] : (v5 = v1 | ~ m2_relset_1(v5, v2, v4) | ~ v1_funct_2(v5, v2, v4) | ~ v1_funct_1(v5) | ? [v6] : ? [v7] : ? [v8] : ( ~ (v8 = v7) & k1_funct_1(v5, v6) = v7 & u1_struct_0(v6) = v8 & m1_group_2(v6, v0) & v1_group_1(v6)))))
% 6.05/1.96 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_group_3(v2) = v1) | ~ (k1_group_3(v2) = v0))
% 6.05/1.96 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v1 | ~ (g1_group_1(v3, v4) = v2) | ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ? [v5] : (k2_zfmisc_1(v0, v0) = v5 & ( ~ v1_funct_2(v1, v5, v0) | ~ m1_relset_1(v1, v5, v0))))
% 6.05/1.96 | (51) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (v1_xboole_0(v2) & m1_subset_1(v2, v1)))
% 6.05/1.96 | (52) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v3, v2) & ~ v1_xboole_0(v3)))
% 6.05/1.96 | (53) l1_group_1(all_0_7_7)
% 6.05/1.96 | (54) ? [v0] : ? [v1] : ? [v2] : (v1_relat_1(v2) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1))
% 6.05/1.96 | (55) v1_xboole_0(k1_xboole_0)
% 6.05/1.96 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1))
% 6.05/1.96 | (57) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ~ v1_xboole_0(v1))
% 6.05/1.96 | (58) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | v3_struct_0(v0) | ? [v2] : ? [v3] : ? [v4] : (k1_latsubgr(v0) = v2 & k1_group_3(v0) = v3 & k1_zfmisc_1(v1) = v4 & m2_relset_1(v2, v3, v4) & v1_funct_2(v2, v3, v4) & v1_funct_1(v2)))
% 6.05/1.96 | (59) m1_group_2(all_0_5_5, all_0_7_7)
% 6.05/1.96 | (60) l1_struct_0(all_0_4_4)
% 6.05/1.96 | (61) ! [v0] : ! [v1] : ( ~ (u1_group_1(v0) = v1) | ~ l1_group_1(v0) | ? [v2] : ? [v3] : (k2_zfmisc_1(v2, v2) = v3 & u1_struct_0(v0) = v2 & m2_relset_1(v1, v3, v2) & v1_funct_2(v1, v3, v2)))
% 6.05/1.96 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | l1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0))))
% 6.05/1.97 | (63) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 6.05/1.97 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ~ v1_xboole_0(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 6.05/1.97 | (65) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 6.05/1.97 | (66) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ v1_funct_1(v2) | ~ m1_relset_1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0) | v1_partfun1(v2, v0, v1))
% 6.05/1.97 | (67) l1_group_1(all_0_0_0)
% 6.05/1.97 | (68) ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0))
% 6.05/1.97 | (69) ! [v0] : ! [v1] : ( ~ m1_group_2(v1, v0) | ~ l1_group_1(v0) | ~ v3_group_1(v0) | l1_group_1(v1) | v3_struct_0(v0))
% 6.05/1.97 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (g1_group_1(v3, v2) = v1) | ~ (g1_group_1(v3, v2) = v0))
% 6.05/1.97 | (71) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | v1_xboole_0(v0) | ? [v2] : (m1_subset_1(v2, v1) & ~ v1_xboole_0(v2)))
% 6.05/1.97 | (72) ? [v0] : ? [v1] : ? [v2] : (v1_relat_1(v2) & v1_funct_2(v2, v0, v1) & v1_funct_1(v2) & m1_relset_1(v2, v0, v1))
% 6.05/1.97 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_latsubgr(v2) = v1) | ~ (k1_latsubgr(v2) = v0))
% 6.05/1.97 | (74) ! [v0] : ! [v1] : ( ~ (u1_group_1(v0) = v1) | ~ l1_group_1(v0) | v1_funct_1(v1))
% 6.05/1.97 | (75) v1_group_1(all_0_5_5)
% 6.05/1.97 | (76) ! [v0] : ! [v1] : ( ~ m1_group_2(v1, v0) | ~ l1_group_1(v0) | ~ v3_group_1(v0) | v3_group_1(v1) | v3_struct_0(v0))
% 6.05/1.97 |
% 6.05/1.97 | Instantiating formula (46) with all_0_6_6, all_0_7_7 and discharging atoms k1_latsubgr(all_0_7_7) = all_0_6_6, l1_group_1(all_0_7_7), v4_group_1(all_0_7_7), v3_group_1(all_0_7_7), ~ v3_struct_0(all_0_7_7), yields:
% 6.05/1.97 | (77) v1_funct_1(all_0_6_6)
% 6.05/1.97 |
% 6.05/1.97 | Instantiating formula (41) with all_0_6_6, all_0_7_7 and discharging atoms k1_latsubgr(all_0_7_7) = all_0_6_6, l1_group_1(all_0_7_7), v4_group_1(all_0_7_7), v3_group_1(all_0_7_7), ~ v3_struct_0(all_0_7_7), yields:
% 6.05/1.97 | (78) ? [v0] : ? [v1] : ? [v2] : (k1_group_3(all_0_7_7) = v0 & k1_zfmisc_1(v1) = v2 & u1_struct_0(all_0_7_7) = v1 & m2_relset_1(all_0_6_6, v0, v2) & v1_funct_2(all_0_6_6, v0, v2))
% 6.05/1.97 |
% 6.05/1.97 | Instantiating formula (48) with all_0_6_6, all_0_7_7 and discharging atoms k1_latsubgr(all_0_7_7) = all_0_6_6, l1_group_1(all_0_7_7), v4_group_1(all_0_7_7), v3_group_1(all_0_7_7), ~ v3_struct_0(all_0_7_7), yields:
% 6.05/1.97 | (79) ? [v0] : ? [v1] : ? [v2] : (k1_group_3(all_0_7_7) = v0 & k1_zfmisc_1(v1) = v2 & u1_struct_0(all_0_7_7) = v1 & ! [v3] : ! [v4] : ( ~ (k1_funct_1(all_0_6_6, v3) = v4) | ~ m2_relset_1(all_0_6_6, v0, v2) | ~ v1_funct_2(all_0_6_6, v0, v2) | ~ v1_funct_1(all_0_6_6) | ~ m1_group_2(v3, all_0_7_7) | ~ v1_group_1(v3) | u1_struct_0(v3) = v4) & ! [v3] : ! [v4] : ( ~ (u1_struct_0(v3) = v4) | ~ m2_relset_1(all_0_6_6, v0, v2) | ~ v1_funct_2(all_0_6_6, v0, v2) | ~ v1_funct_1(all_0_6_6) | ~ m1_group_2(v3, all_0_7_7) | ~ v1_group_1(v3) | k1_funct_1(all_0_6_6, v3) = v4) & ! [v3] : (v3 = all_0_6_6 | ~ m2_relset_1(v3, v0, v2) | ~ v1_funct_2(v3, v0, v2) | ~ v1_funct_1(v3) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & k1_funct_1(v3, v4) = v5 & u1_struct_0(v4) = v6 & m1_group_2(v4, all_0_7_7) & v1_group_1(v4))))
% 6.05/1.97 |
% 6.05/1.97 | Instantiating formula (69) with all_0_5_5, all_0_7_7 and discharging atoms m1_group_2(all_0_5_5, all_0_7_7), l1_group_1(all_0_7_7), v3_group_1(all_0_7_7), ~ v3_struct_0(all_0_7_7), yields:
% 6.05/1.97 | (80) l1_group_1(all_0_5_5)
% 6.05/1.97 |
% 6.05/1.97 | Instantiating (79) with all_29_0_25, all_29_1_26, all_29_2_27 yields:
% 6.05/1.97 | (81) k1_group_3(all_0_7_7) = all_29_2_27 & k1_zfmisc_1(all_29_1_26) = all_29_0_25 & u1_struct_0(all_0_7_7) = all_29_1_26 & ! [v0] : ! [v1] : ( ~ (k1_funct_1(all_0_6_6, v0) = v1) | ~ m2_relset_1(all_0_6_6, all_29_2_27, all_29_0_25) | ~ v1_funct_2(all_0_6_6, all_29_2_27, all_29_0_25) | ~ v1_funct_1(all_0_6_6) | ~ m1_group_2(v0, all_0_7_7) | ~ v1_group_1(v0) | u1_struct_0(v0) = v1) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ m2_relset_1(all_0_6_6, all_29_2_27, all_29_0_25) | ~ v1_funct_2(all_0_6_6, all_29_2_27, all_29_0_25) | ~ v1_funct_1(all_0_6_6) | ~ m1_group_2(v0, all_0_7_7) | ~ v1_group_1(v0) | k1_funct_1(all_0_6_6, v0) = v1) & ! [v0] : (v0 = all_0_6_6 | ~ m2_relset_1(v0, all_29_2_27, all_29_0_25) | ~ v1_funct_2(v0, all_29_2_27, all_29_0_25) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = v2) & k1_funct_1(v0, v1) = v2 & u1_struct_0(v1) = v3 & m1_group_2(v1, all_0_7_7) & v1_group_1(v1)))
% 6.05/1.97 |
% 6.05/1.97 | Applying alpha-rule on (81) yields:
% 6.05/1.97 | (82) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ m2_relset_1(all_0_6_6, all_29_2_27, all_29_0_25) | ~ v1_funct_2(all_0_6_6, all_29_2_27, all_29_0_25) | ~ v1_funct_1(all_0_6_6) | ~ m1_group_2(v0, all_0_7_7) | ~ v1_group_1(v0) | k1_funct_1(all_0_6_6, v0) = v1)
% 6.05/1.97 | (83) k1_zfmisc_1(all_29_1_26) = all_29_0_25
% 6.05/1.97 | (84) k1_group_3(all_0_7_7) = all_29_2_27
% 6.05/1.97 | (85) u1_struct_0(all_0_7_7) = all_29_1_26
% 6.05/1.97 | (86) ! [v0] : (v0 = all_0_6_6 | ~ m2_relset_1(v0, all_29_2_27, all_29_0_25) | ~ v1_funct_2(v0, all_29_2_27, all_29_0_25) | ~ v1_funct_1(v0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = v2) & k1_funct_1(v0, v1) = v2 & u1_struct_0(v1) = v3 & m1_group_2(v1, all_0_7_7) & v1_group_1(v1)))
% 6.05/1.98 | (87) ! [v0] : ! [v1] : ( ~ (k1_funct_1(all_0_6_6, v0) = v1) | ~ m2_relset_1(all_0_6_6, all_29_2_27, all_29_0_25) | ~ v1_funct_2(all_0_6_6, all_29_2_27, all_29_0_25) | ~ v1_funct_1(all_0_6_6) | ~ m1_group_2(v0, all_0_7_7) | ~ v1_group_1(v0) | u1_struct_0(v0) = v1)
% 6.05/1.98 |
% 6.05/1.98 | Instantiating (78) with all_32_0_28, all_32_1_29, all_32_2_30 yields:
% 6.05/1.98 | (88) k1_group_3(all_0_7_7) = all_32_2_30 & k1_zfmisc_1(all_32_1_29) = all_32_0_28 & u1_struct_0(all_0_7_7) = all_32_1_29 & m2_relset_1(all_0_6_6, all_32_2_30, all_32_0_28) & v1_funct_2(all_0_6_6, all_32_2_30, all_32_0_28)
% 6.05/1.98 |
% 6.05/1.98 | Applying alpha-rule on (88) yields:
% 6.05/1.98 | (89) u1_struct_0(all_0_7_7) = all_32_1_29
% 6.05/1.98 | (90) m2_relset_1(all_0_6_6, all_32_2_30, all_32_0_28)
% 6.05/1.98 | (91) v1_funct_2(all_0_6_6, all_32_2_30, all_32_0_28)
% 6.05/1.98 | (92) k1_group_3(all_0_7_7) = all_32_2_30
% 6.05/1.98 | (93) k1_zfmisc_1(all_32_1_29) = all_32_0_28
% 6.05/1.98 |
% 6.05/1.98 | Instantiating formula (49) with all_0_7_7, all_29_2_27, all_32_2_30 and discharging atoms k1_group_3(all_0_7_7) = all_32_2_30, k1_group_3(all_0_7_7) = all_29_2_27, yields:
% 6.05/1.98 | (94) all_32_2_30 = all_29_2_27
% 6.05/1.98 |
% 6.05/1.98 | Instantiating formula (32) with all_0_7_7, all_29_1_26, all_32_1_29 and discharging atoms u1_struct_0(all_0_7_7) = all_32_1_29, u1_struct_0(all_0_7_7) = all_29_1_26, yields:
% 6.05/1.98 | (95) all_32_1_29 = all_29_1_26
% 6.05/1.98 |
% 6.05/1.98 | From (95) and (93) follows:
% 6.05/1.98 | (96) k1_zfmisc_1(all_29_1_26) = all_32_0_28
% 6.05/1.98 |
% 6.05/1.98 | From (94) and (90) follows:
% 6.05/1.98 | (97) m2_relset_1(all_0_6_6, all_29_2_27, all_32_0_28)
% 6.05/1.98 |
% 6.05/1.98 | From (94) and (91) follows:
% 6.05/1.98 | (98) v1_funct_2(all_0_6_6, all_29_2_27, all_32_0_28)
% 6.05/1.98 |
% 6.05/1.98 | Instantiating formula (14) with all_29_1_26, all_32_0_28, all_29_0_25 and discharging atoms k1_zfmisc_1(all_29_1_26) = all_32_0_28, k1_zfmisc_1(all_29_1_26) = all_29_0_25, yields:
% 6.05/1.98 | (99) all_32_0_28 = all_29_0_25
% 6.05/1.98 |
% 6.05/1.98 | From (99) and (96) follows:
% 6.05/1.98 | (83) k1_zfmisc_1(all_29_1_26) = all_29_0_25
% 6.05/1.98 |
% 6.05/1.98 | From (99) and (97) follows:
% 6.05/1.98 | (101) m2_relset_1(all_0_6_6, all_29_2_27, all_29_0_25)
% 6.05/1.98 |
% 6.05/1.98 | From (99) and (98) follows:
% 6.05/1.98 | (102) v1_funct_2(all_0_6_6, all_29_2_27, all_29_0_25)
% 6.05/1.98 |
% 6.05/1.98 | Instantiating formula (51) with all_29_0_25, all_29_1_26 and discharging atoms k1_zfmisc_1(all_29_1_26) = all_29_0_25, yields:
% 6.05/1.98 | (103) ? [v0] : (v1_xboole_0(v0) & m1_subset_1(v0, all_29_0_25))
% 6.05/1.98 |
% 6.05/1.98 | Instantiating formula (87) with k1_xboole_0, all_0_5_5 and discharging atoms k1_funct_1(all_0_6_6, all_0_5_5) = k1_xboole_0, m2_relset_1(all_0_6_6, all_29_2_27, all_29_0_25), v1_funct_2(all_0_6_6, all_29_2_27, all_29_0_25), v1_funct_1(all_0_6_6), m1_group_2(all_0_5_5, all_0_7_7), v1_group_1(all_0_5_5), yields:
% 6.05/1.98 | (104) u1_struct_0(all_0_5_5) = k1_xboole_0
% 6.05/1.98 |
% 6.05/1.98 | Instantiating formula (68) with all_0_5_5 and discharging atoms l1_group_1(all_0_5_5), yields:
% 6.05/1.98 | (105) l1_struct_0(all_0_5_5)
% 6.05/1.98 |
% 6.05/1.98 | Instantiating (103) with all_56_0_39 yields:
% 6.05/1.98 | (106) v1_xboole_0(all_56_0_39) & m1_subset_1(all_56_0_39, all_29_0_25)
% 6.05/1.98 |
% 6.05/1.98 | Applying alpha-rule on (106) yields:
% 6.05/1.98 | (107) v1_xboole_0(all_56_0_39)
% 6.05/1.98 | (108) m1_subset_1(all_56_0_39, all_29_0_25)
% 6.05/1.98 |
% 6.05/1.98 | Instantiating formula (65) with all_56_0_39 and discharging atoms v1_xboole_0(all_56_0_39), yields:
% 6.05/1.98 | (109) all_56_0_39 = k1_xboole_0
% 6.05/1.98 |
% 6.05/1.98 | From (109) and (107) follows:
% 6.05/1.98 | (55) v1_xboole_0(k1_xboole_0)
% 6.05/1.98 |
% 6.05/1.98 | Instantiating formula (6) with k1_xboole_0, all_0_5_5 and discharging atoms u1_struct_0(all_0_5_5) = k1_xboole_0, l1_struct_0(all_0_5_5), v1_xboole_0(k1_xboole_0), yields:
% 6.05/1.98 | (111) v3_struct_0(all_0_5_5)
% 6.05/1.98 |
% 6.05/1.98 | Instantiating formula (28) with all_0_5_5, all_0_7_7 and discharging atoms m1_group_2(all_0_5_5, all_0_7_7), l1_group_1(all_0_7_7), v3_group_1(all_0_7_7), v3_struct_0(all_0_5_5), ~ v3_struct_0(all_0_7_7), yields:
% 6.05/1.98 | (112) $false
% 6.05/1.98 |
% 6.05/1.98 |-The branch is then unsatisfiable
% 6.05/1.98 % SZS output end Proof for theBenchmark
% 6.05/1.98
% 6.05/1.98 1490ms
%------------------------------------------------------------------------------