TSTP Solution File: GRP620+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n005.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 08:43:02 EDT 2022
% Result : Theorem 15.52s 4.27s
% Output : Proof 19.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 15:46:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.45/0.61 ____ _
% 0.45/0.61 ___ / __ \_____(_)___ ________ __________
% 0.45/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.45/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.45/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.45/0.61
% 0.45/0.61 A Theorem Prover for First-Order Logic
% 0.45/0.61 (ePrincess v.1.0)
% 0.45/0.61
% 0.45/0.61 (c) Philipp Rümmer, 2009-2015
% 0.45/0.61 (c) Peter Backeman, 2014-2015
% 0.45/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.45/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.45/0.61 Bug reports to peter@backeman.se
% 0.45/0.61
% 0.45/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.45/0.61
% 0.45/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.04/1.02 Prover 0: Preprocessing ...
% 3.85/1.43 Prover 0: Warning: ignoring some quantifiers
% 3.92/1.47 Prover 0: Constructing countermodel ...
% 15.52/4.27 Prover 0: proved (3612ms)
% 15.52/4.27
% 15.52/4.27 No countermodel exists, formula is valid
% 15.52/4.27 % SZS status Theorem for theBenchmark
% 15.52/4.28
% 15.52/4.28 Generating proof ... Warning: ignoring some quantifiers
% 18.71/4.98 found it (size 265)
% 18.71/4.98
% 18.71/4.98 % SZS output start Proof for theBenchmark
% 18.71/4.99 Assumed formulas after preprocessing and simplification:
% 18.71/4.99 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (k2_funct_1(v3) = v4 & k1_autgroup(v0) = v2 & u1_struct_0(v0) = v1 & l1_struct_0(v16) & l1_struct_0(v5) & v2_funct_1(v12) & v2_funct_1(v7) & v2_group_1(v6) & v1_xboole_0(v12) & v1_xboole_0(v11) & v1_xboole_0(v10) & v1_xboole_0(k1_xboole_0) & v1_funct_1(v14) & v1_funct_1(v12) & v1_funct_1(v10) & v1_funct_1(v7) & v1_relat_1(v14) & v1_relat_1(v12) & v1_relat_1(v10) & v1_relat_1(v7) & v1_fraenkel(v15) & m2_fraenkel(v3, v1, v1, v2) & l1_group_1(v17) & l1_group_1(v13) & l1_group_1(v9) & l1_group_1(v6) & l1_group_1(v0) & v4_group_1(v6) & v4_group_1(v0) & v3_group_1(v6) & v3_group_1(v0) & v1_group_1(v13) & v1_group_1(v9) & v1_group_1(v6) & v1_group_1(v0) & ~ v1_xboole_0(v15) & ~ v1_xboole_0(v8) & ~ m2_fraenkel(v4, v1, v1, v2) & ~ v3_struct_0(v9) & ~ v3_struct_0(v6) & ~ v3_struct_0(v5) & ~ v3_struct_0(v0) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (k2_funct_1(v22) = v23) | ~ (u1_struct_0(v20) = v21) | ~ (u1_struct_0(v18) = v19) | ~ v4_group_6(v22, v20, v18) | ~ m2_relset_1(v23, v19, v21) | ~ m2_relset_1(v22, v21, v19) | ~ v1_group_6(v23, v18, v20) | ~ v1_group_6(v22, v20, v18) | ~ v1_funct_2(v23, v19, v21) | ~ v1_funct_2(v22, v21, v19) | ~ v1_funct_1(v23) | ~ v1_funct_1(v22) | ~ l1_group_1(v20) | ~ l1_group_1(v18) | ~ v4_group_1(v20) | ~ v4_group_1(v18) | ~ v3_group_1(v20) | ~ v3_group_1(v18) | v4_group_6(v23, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (g1_group_1(v21, v22) = v20) | ~ (g1_group_1(v18, v19) = v20) | ~ v1_funct_1(v19) | ? [v23] : (k2_zfmisc_1(v18, v18) = v23 & ( ~ v1_funct_2(v19, v23, v18) | ~ m1_relset_1(v19, v23, v18)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v21 = v18 | ~ (g1_group_1(v21, v22) = v20) | ~ (g1_group_1(v18, v19) = v20) | ~ v1_funct_1(v19) | ? [v23] : (k2_zfmisc_1(v18, v18) = v23 & ( ~ v1_funct_2(v19, v23, v18) | ~ m1_relset_1(v19, v23, v18)))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u1_struct_0(v20) = v21) | ~ (u1_struct_0(v18) = v19) | ~ v3_group_6(v22, v18, v20) | ~ v2_group_6(v22, v18, v20) | ~ m2_relset_1(v22, v19, v21) | ~ v1_group_6(v22, v18, v20) | ~ v1_funct_2(v22, v19, v21) | ~ v1_funct_1(v22) | ~ l1_group_1(v20) | ~ l1_group_1(v18) | ~ v4_group_1(v20) | ~ v4_group_1(v18) | ~ v3_group_1(v20) | ~ v3_group_1(v18) | v4_group_6(v22, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u1_struct_0(v20) = v21) | ~ (u1_struct_0(v18) = v19) | ~ v4_group_6(v22, v18, v20) | ~ m2_relset_1(v22, v19, v21) | ~ v1_group_6(v22, v18, v20) | ~ v1_funct_2(v22, v19, v21) | ~ v1_funct_1(v22) | ~ l1_group_1(v20) | ~ l1_group_1(v18) | ~ v4_group_1(v20) | ~ v4_group_1(v18) | ~ v3_group_1(v20) | ~ v3_group_1(v18) | v3_group_6(v22, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u1_struct_0(v20) = v21) | ~ (u1_struct_0(v18) = v19) | ~ v4_group_6(v22, v18, v20) | ~ m2_relset_1(v22, v19, v21) | ~ v1_group_6(v22, v18, v20) | ~ v1_funct_2(v22, v19, v21) | ~ v1_funct_1(v22) | ~ l1_group_1(v20) | ~ l1_group_1(v18) | ~ v4_group_1(v20) | ~ v4_group_1(v18) | ~ v3_group_1(v20) | ~ v3_group_1(v18) | v2_group_6(v22, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u1_struct_0(v20) = v21) | ~ (u1_struct_0(v18) = v19) | ~ v2_group_6(v22, v18, v20) | ~ m2_relset_1(v22, v19, v21) | ~ v1_group_6(v22, v18, v20) | ~ v1_funct_2(v22, v19, v21) | ~ v1_funct_1(v22) | ~ l1_group_1(v20) | ~ l1_group_1(v18) | ~ v4_group_1(v20) | ~ v4_group_1(v18) | ~ v3_group_1(v20) | ~ v3_group_1(v18) | v2_funct_1(v22) | v3_struct_0(v20) | v3_struct_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (u1_struct_0(v20) = v21) | ~ (u1_struct_0(v18) = v19) | ~ m2_relset_1(v22, v19, v21) | ~ v1_group_6(v22, v18, v20) | ~ v2_funct_1(v22) | ~ v1_funct_2(v22, v19, v21) | ~ v1_funct_1(v22) | ~ l1_group_1(v20) | ~ l1_group_1(v18) | ~ v4_group_1(v20) | ~ v4_group_1(v18) | ~ v3_group_1(v20) | ~ v3_group_1(v18) | v2_group_6(v22, v18, v20) | v3_struct_0(v20) | v3_struct_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = v18 | ~ (u1_struct_0(v18) = v19) | ~ (u1_group_1(v18) = v20) | ~ (g1_group_1(v19, v20) = v21) | ~ l1_group_1(v18) | ~ v1_group_1(v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (k2_zfmisc_1(v21, v20) = v19) | ~ (k2_zfmisc_1(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v19 = v18 | ~ (g1_group_1(v21, v20) = v19) | ~ (g1_group_1(v21, v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v18, v19) = v21) | ~ m2_relset_1(v20, v18, v19) | ? [v22] : (k1_zfmisc_1(v21) = v22 & m1_subset_1(v20, v22))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) | ~ v1_xboole_0(v20) | ~ m1_subset_1(v19, v21) | ~ r2_hidden(v18, v19)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k1_zfmisc_1(v20) = v21) | ~ m1_subset_1(v19, v21) | ~ r2_hidden(v18, v19) | m1_subset_1(v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (u1_struct_0(v19) = v21) | ~ (u1_struct_0(v18) = v20) | ~ l1_group_1(v19) | ~ l1_group_1(v18) | ~ v4_group_1(v19) | ~ v4_group_1(v18) | ~ v3_group_1(v19) | ~ v3_group_1(v18) | v3_struct_0(v19) | v3_struct_0(v18) | ? [v22] : (v1_group_6(v22, v18, v19) & v1_funct_2(v22, v20, v21) & v1_partfun1(v22, v20, v21) & m1_relset_1(v22, v20, v21) & v1_funct_1(v22) & v1_relat_1(v22) & ~ v1_xboole_0(v22))) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) | ~ m1_subset_1(v21, v20) | v1_xboole_0(v19) | m2_fraenkel(v21, v18, v19, v20)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) | ~ m2_fraenkel(v21, v18, v19, v20) | m2_relset_1(v21, v18, v19) | v1_xboole_0(v19)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) | ~ m2_fraenkel(v21, v18, v19, v20) | v1_funct_2(v21, v18, v19) | v1_xboole_0(v19)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) | ~ m2_fraenkel(v21, v18, v19, v20) | v1_xboole_0(v19) | v1_funct_1(v21)) & ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ m1_fraenkel(v20, v18, v19) | ~ m2_fraenkel(v21, v18, v19, v20) | v1_xboole_0(v19) | m1_subset_1(v21, v20)) & ? [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (k2_zfmisc_1(v19, v20) = v21) | v1_relat_1(v18) | ? [v22] : (k1_zfmisc_1(v21) = v22 & ~ m1_subset_1(v18, v22))) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (k2_funct_1(v20) = v19) | ~ (k2_funct_1(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (k1_autgroup(v20) = v19) | ~ (k1_autgroup(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (k1_zfmisc_1(v20) = v19) | ~ (k1_zfmisc_1(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (u1_struct_0(v20) = v19) | ~ (u1_struct_0(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : (v19 = v18 | ~ (u1_group_1(v20) = v19) | ~ (u1_group_1(v20) = v18)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k2_zfmisc_1(v19, v19) = v20) | ~ (u1_struct_0(v18) = v19) | ~ l1_group_1(v18) | ? [v21] : (u1_group_1(v18) = v21 & m2_relset_1(v21, v20, v19) & v1_funct_2(v21, v20, v19) & v1_funct_1(v21))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k1_zfmisc_1(v19) = v20) | ~ r1_tarski(v18, v19) | m1_subset_1(v18, v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (k1_zfmisc_1(v19) = v20) | ~ m1_subset_1(v18, v20) | r1_tarski(v18, v19)) & ! [v18] : ! [v19] : ! [v20] : ( ~ (g1_group_1(v18, v19) = v20) | ~ v1_funct_1(v19) | ~ v3_struct_0(v20) | v1_xboole_0(v18) | ? [v21] : (k2_zfmisc_1(v18, v18) = v21 & ( ~ v1_funct_2(v19, v21, v18) | ~ m1_relset_1(v19, v21, v18)))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (g1_group_1(v18, v19) = v20) | ~ v1_funct_1(v19) | v1_xboole_0(v18) | v1_group_1(v20) | ? [v21] : (k2_zfmisc_1(v18, v18) = v21 & ( ~ v1_funct_2(v19, v21, v18) | ~ m1_relset_1(v19, v21, v18)))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (g1_group_1(v18, v19) = v20) | ~ v1_funct_1(v19) | l1_group_1(v20) | ? [v21] : (k2_zfmisc_1(v18, v18) = v21 & ( ~ v1_funct_2(v19, v21, v18) | ~ m1_relset_1(v19, v21, v18)))) & ! [v18] : ! [v19] : ! [v20] : ( ~ (g1_group_1(v18, v19) = v20) | ~ v1_funct_1(v19) | v1_group_1(v20) | ? [v21] : (k2_zfmisc_1(v18, v18) = v21 & ( ~ v1_funct_2(v19, v21, v18) | ~ m1_relset_1(v19, v21, v18)))) & ! [v18] : ! [v19] : ! [v20] : ( ~ m1_fraenkel(v20, v18, v19) | ~ v1_xboole_0(v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ m1_fraenkel(v20, v18, v19) | v1_xboole_0(v19) | ? [v21] : m2_fraenkel(v21, v18, v19, v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ m1_fraenkel(v20, v18, v19) | v1_fraenkel(v20)) & ! [v18] : ! [v19] : ! [v20] : ( ~ m2_relset_1(v20, v18, v19) | m1_relset_1(v20, v18, v19)) & ! [v18] : ! [v19] : ! [v20] : ( ~ v1_funct_2(v20, v18, v19) | ~ m1_relset_1(v20, v18, v19) | ~ v1_xboole_0(v20) | ~ v1_funct_1(v20) | v1_xboole_0(v19) | v1_xboole_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ( ~ v1_funct_2(v20, v18, v19) | ~ m1_relset_1(v20, v18, v19) | ~ v1_funct_1(v20) | v1_partfun1(v20, v18, v19) | v1_xboole_0(v19) | v1_xboole_0(v18)) & ! [v18] : ! [v19] : ! [v20] : ( ~ v1_funct_2(v20, v18, v19) | ~ m1_relset_1(v20, v18, v19) | ~ v1_funct_1(v20) | v1_partfun1(v20, v18, v19) | v1_xboole_0(v19)) & ! [v18] : ! [v19] : ! [v20] : ( ~ v1_partfun1(v20, v18, v19) | ~ m1_relset_1(v20, v18, v19) | ~ v1_funct_1(v20) | v1_funct_2(v20, v18, v19)) & ! [v18] : ! [v19] : ! [v20] : ( ~ m1_relset_1(v20, v18, v19) | m2_relset_1(v20, v18, v19)) & ! [v18] : ! [v19] : (v19 = v18 | ~ v1_xboole_0(v19) | ~ v1_xboole_0(v18)) & ! [v18] : ! [v19] : ( ~ (k2_funct_1(v18) = v19) | ~ v1_funct_1(v18) | ~ v1_relat_1(v18) | v1_funct_1(v19)) & ! [v18] : ! [v19] : ( ~ (k2_funct_1(v18) = v19) | ~ v1_funct_1(v18) | ~ v1_relat_1(v18) | v1_relat_1(v19)) & ! [v18] : ! [v19] : ( ~ (k1_autgroup(v18) = v19) | ~ l1_group_1(v18) | ~ v4_group_1(v18) | ~ v3_group_1(v18) | ~ v1_group_1(v18) | v3_struct_0(v18) | ? [v20] : (u1_struct_0(v18) = v20 & m1_fraenkel(v19, v20, v20))) & ! [v18] : ! [v19] : ( ~ (k1_autgroup(v18) = v19) | ~ l1_group_1(v18) | ~ v4_group_1(v18) | ~ v3_group_1(v18) | ~ v1_group_1(v18) | v3_struct_0(v18) | ? [v20] : (u1_struct_0(v18) = v20 & ! [v21] : ! [v22] : ( ~ (k2_funct_1(v21) = v22) | ~ m2_fraenkel(v21, v20, v20, v19) | m2_relset_1(v22, v20, v20)) & ! [v21] : ! [v22] : ( ~ (k2_funct_1(v21) = v22) | ~ m2_fraenkel(v21, v20, v20, v19) | v1_group_6(v22, v18, v18)) & ! [v21] : ! [v22] : ( ~ (k2_funct_1(v21) = v22) | ~ m2_fraenkel(v21, v20, v20, v19) | v1_funct_2(v22, v20, v20)) & ! [v21] : ! [v22] : ( ~ (k2_funct_1(v21) = v22) | ~ m2_fraenkel(v21, v20, v20, v19) | v1_funct_1(v22)))) & ! [v18] : ! [v19] : ( ~ (k1_autgroup(v18) = v19) | ~ l1_group_1(v18) | ~ v4_group_1(v18) | ~ v3_group_1(v18) | ~ v1_group_1(v18) | v3_struct_0(v18) | ? [v20] : (u1_struct_0(v18) = v20 & ! [v21] : (v21 = v19 | ~ m1_fraenkel(v21, v20, v20) | ? [v22] : ((m2_relset_1(v22, v20, v20) & v1_group_6(v22, v18, v18) & v1_funct_2(v22, v20, v20) & v1_funct_1(v22) & ( ~ v3_group_6(v22, v18, v18) | ~ v2_funct_1(v22) | ~ r2_hidden(v22, v21)) & (r2_hidden(v22, v21) | (v3_group_6(v22, v18, v18) & v2_funct_1(v22)))) | (m2_fraenkel(v22, v20, v20, v21) & ( ~ m2_relset_1(v22, v20, v20) | ~ v1_group_6(v22, v18, v18) | ~ v1_funct_2(v22, v20, v20) | ~ v1_funct_1(v22))))) & ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) | ~ v3_group_6(v21, v18, v18) | ~ m2_relset_1(v21, v20, v20) | ~ v1_group_6(v21, v18, v18) | ~ v2_funct_1(v21) | ~ v1_funct_2(v21, v20, v20) | ~ v1_funct_1(v21) | r2_hidden(v21, v19)) & ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) | ~ m2_relset_1(v21, v20, v20) | ~ v1_group_6(v21, v18, v18) | ~ v1_funct_2(v21, v20, v20) | ~ v1_funct_1(v21) | ~ r2_hidden(v21, v19) | v3_group_6(v21, v18, v18)) & ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) | ~ m2_relset_1(v21, v20, v20) | ~ v1_group_6(v21, v18, v18) | ~ v1_funct_2(v21, v20, v20) | ~ v1_funct_1(v21) | ~ r2_hidden(v21, v19) | v2_funct_1(v21)) & ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) | ~ m2_fraenkel(v21, v20, v20, v19) | m2_relset_1(v21, v20, v20)) & ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) | ~ m2_fraenkel(v21, v20, v20, v19) | v1_group_6(v21, v18, v18)) & ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) | ~ m2_fraenkel(v21, v20, v20, v19) | v1_funct_2(v21, v20, v20)) & ! [v21] : ( ~ m1_fraenkel(v19, v20, v20) | ~ m2_fraenkel(v21, v20, v20, v19) | v1_funct_1(v21)))) & ! [v18] : ! [v19] : ( ~ (k1_autgroup(v18) = v19) | ~ l1_group_1(v18) | ~ v4_group_1(v18) | ~ v3_group_1(v18) | ~ v1_group_1(v18) | v3_struct_0(v18) | ? [v20] : (u1_struct_0(v18) = v20 & ! [v21] : ( ~ v4_group_6(v21, v18, v18) | ~ m2_relset_1(v21, v20, v20) | ~ v1_group_6(v21, v18, v18) | ~ v1_funct_2(v21, v20, v20) | ~ v1_funct_1(v21) | r2_hidden(v21, v19)) & ! [v21] : ( ~ m2_relset_1(v21, v20, v20) | ~ v1_group_6(v21, v18, v18) | ~ v1_funct_2(v21, v20, v20) | ~ v1_funct_1(v21) | ~ r2_hidden(v21, v19) | v4_group_6(v21, v18, v18)))) & ! [v18] : ! [v19] : ( ~ (u1_struct_0(v18) = v19) | ~ l1_struct_0(v18) | ~ v1_xboole_0(v19) | v3_struct_0(v18)) & ! [v18] : ! [v19] : ( ~ (u1_struct_0(v18) = v19) | ~ l1_struct_0(v18) | v3_struct_0(v18) | ? [v20] : ? [v21] : (k1_zfmisc_1(v19) = v20 & m1_subset_1(v21, v20) & ~ v1_xboole_0(v21))) & ! [v18] : ! [v19] : ( ~ (u1_struct_0(v18) = v19) | ~ l1_group_1(v18) | ~ v4_group_1(v18) | ~ v3_group_1(v18) | ~ v1_group_1(v18) | v3_struct_0(v18) | ? [v20] : (k1_autgroup(v18) = v20 & m1_fraenkel(v20, v19, v19))) & ! [v18] : ! [v19] : ( ~ (u1_struct_0(v18) = v19) | ~ l1_group_1(v18) | ~ v4_group_1(v18) | ~ v3_group_1(v18) | ~ v1_group_1(v18) | v3_struct_0(v18) | ? [v20] : (k1_autgroup(v18) = v20 & ! [v21] : ! [v22] : ( ~ (k2_funct_1(v21) = v22) | ~ m2_fraenkel(v21, v19, v19, v20) | m2_relset_1(v22, v19, v19)) & ! [v21] : ! [v22] : ( ~ (k2_funct_1(v21) = v22) | ~ m2_fraenkel(v21, v19, v19, v20) | v1_group_6(v22, v18, v18)) & ! [v21] : ! [v22] : ( ~ (k2_funct_1(v21) = v22) | ~ m2_fraenkel(v21, v19, v19, v20) | v1_funct_2(v22, v19, v19)) & ! [v21] : ! [v22] : ( ~ (k2_funct_1(v21) = v22) | ~ m2_fraenkel(v21, v19, v19, v20) | v1_funct_1(v22)))) & ! [v18] : ! [v19] : ( ~ (u1_struct_0(v18) = v19) | ~ l1_group_1(v18) | ~ v4_group_1(v18) | ~ v3_group_1(v18) | ~ v1_group_1(v18) | v3_struct_0(v18) | ? [v20] : (k1_autgroup(v18) = v20 & ! [v21] : (v21 = v20 | ~ m1_fraenkel(v21, v19, v19) | ? [v22] : ((m2_relset_1(v22, v19, v19) & v1_group_6(v22, v18, v18) & v1_funct_2(v22, v19, v19) & v1_funct_1(v22) & ( ~ v3_group_6(v22, v18, v18) | ~ v2_funct_1(v22) | ~ r2_hidden(v22, v21)) & (r2_hidden(v22, v21) | (v3_group_6(v22, v18, v18) & v2_funct_1(v22)))) | (m2_fraenkel(v22, v19, v19, v21) & ( ~ m2_relset_1(v22, v19, v19) | ~ v1_group_6(v22, v18, v18) | ~ v1_funct_2(v22, v19, v19) | ~ v1_funct_1(v22))))) & ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) | ~ v3_group_6(v21, v18, v18) | ~ m2_relset_1(v21, v19, v19) | ~ v1_group_6(v21, v18, v18) | ~ v2_funct_1(v21) | ~ v1_funct_2(v21, v19, v19) | ~ v1_funct_1(v21) | r2_hidden(v21, v20)) & ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) | ~ m2_relset_1(v21, v19, v19) | ~ v1_group_6(v21, v18, v18) | ~ v1_funct_2(v21, v19, v19) | ~ v1_funct_1(v21) | ~ r2_hidden(v21, v20) | v3_group_6(v21, v18, v18)) & ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) | ~ m2_relset_1(v21, v19, v19) | ~ v1_group_6(v21, v18, v18) | ~ v1_funct_2(v21, v19, v19) | ~ v1_funct_1(v21) | ~ r2_hidden(v21, v20) | v2_funct_1(v21)) & ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) | ~ m2_fraenkel(v21, v19, v19, v20) | m2_relset_1(v21, v19, v19)) & ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) | ~ m2_fraenkel(v21, v19, v19, v20) | v1_group_6(v21, v18, v18)) & ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) | ~ m2_fraenkel(v21, v19, v19, v20) | v1_funct_2(v21, v19, v19)) & ! [v21] : ( ~ m1_fraenkel(v20, v19, v19) | ~ m2_fraenkel(v21, v19, v19, v20) | v1_funct_1(v21)))) & ! [v18] : ! [v19] : ( ~ (u1_struct_0(v18) = v19) | ~ l1_group_1(v18) | ~ v4_group_1(v18) | ~ v3_group_1(v18) | ~ v1_group_1(v18) | v3_struct_0(v18) | ? [v20] : (k1_autgroup(v18) = v20 & ! [v21] : ( ~ v4_group_6(v21, v18, v18) | ~ m2_relset_1(v21, v19, v19) | ~ v1_group_6(v21, v18, v18) | ~ v1_funct_2(v21, v19, v19) | ~ v1_funct_1(v21) | r2_hidden(v21, v20)) & ! [v21] : ( ~ m2_relset_1(v21, v19, v19) | ~ v1_group_6(v21, v18, v18) | ~ v1_funct_2(v21, v19, v19) | ~ v1_funct_1(v21) | ~ r2_hidden(v21, v20) | v4_group_6(v21, v18, v18)))) & ! [v18] : ! [v19] : ( ~ (u1_struct_0(v18) = v19) | ~ l1_group_1(v18) | ? [v20] : ? [v21] : (k2_zfmisc_1(v19, v19) = v21 & u1_group_1(v18) = v20 & m2_relset_1(v20, v21, v19) & v1_funct_2(v20, v21, v19) & v1_funct_1(v20))) & ! [v18] : ! [v19] : ( ~ (u1_group_1(v18) = v19) | ~ l1_group_1(v18) | v1_funct_1(v19)) & ! [v18] : ! [v19] : ( ~ (u1_group_1(v18) = v19) | ~ l1_group_1(v18) | ? [v20] : ? [v21] : (k2_zfmisc_1(v20, v20) = v21 & u1_struct_0(v18) = v20 & m2_relset_1(v19, v21, v20) & v1_funct_2(v19, v21, v20))) & ! [v18] : ! [v19] : ( ~ v1_xboole_0(v19) | ~ r2_hidden(v18, v19)) & ! [v18] : ! [v19] : ( ~ m1_subset_1(v19, v18) | ~ v1_fraenkel(v18) | v1_funct_1(v19)) & ! [v18] : ! [v19] : ( ~ m1_subset_1(v19, v18) | ~ v1_fraenkel(v18) | v1_relat_1(v19)) & ! [v18] : ! [v19] : ( ~ m1_subset_1(v18, v19) | v1_xboole_0(v19) | r2_hidden(v18, v19)) & ! [v18] : ! [v19] : ( ~ r2_hidden(v19, v18) | ~ r2_hidden(v18, v19)) & ! [v18] : ! [v19] : ( ~ r2_hidden(v18, v19) | m1_subset_1(v18, v19)) & ! [v18] : (v18 = k1_xboole_0 | ~ v1_xboole_0(v18)) & ! [v18] : ( ~ v1_xboole_0(v18) | ~ v1_funct_1(v18) | ~ v1_relat_1(v18) | v2_funct_1(v18)) & ! [v18] : ( ~ v1_xboole_0(v18) | v1_funct_1(v18)) & ! [v18] : ( ~ l1_group_1(v18) | ~ v3_group_1(v18) | v2_group_1(v18) | v3_struct_0(v18)) & ! [v18] : ( ~ l1_group_1(v18) | l1_struct_0(v18)) & ? [v18] : ? [v19] : ? [v20] : m1_fraenkel(v20, v18, v19) & ? [v18] : ? [v19] : ? [v20] : m2_relset_1(v20, v18, v19) & ? [v18] : ? [v19] : ? [v20] : m1_relset_1(v20, v18, v19) & ? [v18] : ? [v19] : ? [v20] : (v1_funct_2(v20, v18, v19) & m1_relset_1(v20, v18, v19) & v1_funct_1(v20) & v1_relat_1(v20)) & ? [v18] : ? [v19] : ? [v20] : (m1_relset_1(v20, v18, v19) & v1_funct_1(v20) & v1_relat_1(v20)) & ? [v18] : ? [v19] : m1_subset_1(v19, v18) & ? [v18] : r1_tarski(v18, v18))
% 18.71/5.05 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17 yields:
% 18.71/5.05 | (1) k2_funct_1(all_0_14_14) = all_0_13_13 & k1_autgroup(all_0_17_17) = all_0_15_15 & u1_struct_0(all_0_17_17) = all_0_16_16 & l1_struct_0(all_0_1_1) & l1_struct_0(all_0_12_12) & v2_funct_1(all_0_5_5) & v2_funct_1(all_0_10_10) & v2_group_1(all_0_11_11) & v1_xboole_0(all_0_5_5) & v1_xboole_0(all_0_6_6) & v1_xboole_0(all_0_7_7) & v1_xboole_0(k1_xboole_0) & v1_funct_1(all_0_3_3) & v1_funct_1(all_0_5_5) & v1_funct_1(all_0_7_7) & v1_funct_1(all_0_10_10) & v1_relat_1(all_0_3_3) & v1_relat_1(all_0_5_5) & v1_relat_1(all_0_7_7) & v1_relat_1(all_0_10_10) & v1_fraenkel(all_0_2_2) & m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15) & l1_group_1(all_0_0_0) & l1_group_1(all_0_4_4) & l1_group_1(all_0_8_8) & l1_group_1(all_0_11_11) & l1_group_1(all_0_17_17) & v4_group_1(all_0_11_11) & v4_group_1(all_0_17_17) & v3_group_1(all_0_11_11) & v3_group_1(all_0_17_17) & v1_group_1(all_0_4_4) & v1_group_1(all_0_8_8) & v1_group_1(all_0_11_11) & v1_group_1(all_0_17_17) & ~ v1_xboole_0(all_0_2_2) & ~ v1_xboole_0(all_0_9_9) & ~ m2_fraenkel(all_0_13_13, all_0_16_16, all_0_16_16, all_0_15_15) & ~ v3_struct_0(all_0_8_8) & ~ v3_struct_0(all_0_11_11) & ~ v3_struct_0(all_0_12_12) & ~ v3_struct_0(all_0_17_17) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_funct_1(v4) = v5) | ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v4_group_6(v4, v2, v0) | ~ m2_relset_1(v5, v1, v3) | ~ m2_relset_1(v4, v3, v1) | ~ v1_group_6(v5, v0, v2) | ~ v1_group_6(v4, v2, v0) | ~ v1_funct_2(v5, v1, v3) | ~ v1_funct_2(v4, v3, v1) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v4_group_6(v5, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [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] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v3_group_6(v4, v0, v2) | ~ v2_group_6(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v4_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v4_group_6(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v3_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v4_group_6(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v2_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v2_group_6(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v2_funct_1(v4) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v2_funct_1(v4) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v2_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u1_group_1(v0) = v2) | ~ (g1_group_1(v1, v2) = v3) | ~ l1_group_1(v0) | ~ v1_group_1(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] : ( ~ (u1_struct_0(v1) = v3) | ~ (u1_struct_0(v0) = v2) | ~ l1_group_1(v1) | ~ l1_group_1(v0) | ~ v4_group_1(v1) | ~ v4_group_1(v0) | ~ v3_group_1(v1) | ~ v3_group_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v4] : (v1_group_6(v4, v0, v1) & v1_funct_2(v4, v2, v3) & v1_partfun1(v4, v2, v3) & m1_relset_1(v4, v2, v3) & v1_funct_1(v4) & v1_relat_1(v4) & ~ v1_xboole_0(v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v1) | m2_fraenkel(v3, v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | m2_relset_1(v3, v0, v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_funct_2(v3, v0, v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | v1_funct_1(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | m1_subset_1(v3, 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 | ~ (k2_funct_1(v2) = v1) | ~ (k2_funct_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_autgroup(v2) = v1) | ~ (k1_autgroup(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] : ( ~ (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) | ~ v3_struct_0(v2) | v1_xboole_0(v0) | ? [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) | v1_xboole_0(v0) | 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] : ( ~ (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] : ( ~ m1_fraenkel(v2, v0, v1) | ~ v1_xboole_0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) | ? [v3] : m2_fraenkel(v3, v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_fraenkel(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_xboole_0(v2) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v1_partfun1(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | 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] : ( ~ (k2_funct_1(v0) = v1) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | v1_relat_1(v1)) & ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_fraenkel(v1, v2, v2))) & ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v2, v2, v1) | m2_relset_1(v4, v2, v2)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_group_6(v4, v0, v0)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_2(v4, v2, v2)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_1(v4)))) & ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : (v3 = v1 | ~ m1_fraenkel(v3, v2, v2) | ? [v4] : ((m2_relset_1(v4, v2, v2) & v1_group_6(v4, v0, v0) & v1_funct_2(v4, v2, v2) & v1_funct_1(v4) & ( ~ v3_group_6(v4, v0, v0) | ~ v2_funct_1(v4) | ~ r2_hidden(v4, v3)) & (r2_hidden(v4, v3) | (v3_group_6(v4, v0, v0) & v2_funct_1(v4)))) | (m2_fraenkel(v4, v2, v2, v3) & ( ~ m2_relset_1(v4, v2, v2) | ~ v1_group_6(v4, v0, v0) | ~ v1_funct_2(v4, v2, v2) | ~ v1_funct_1(v4))))) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ v3_group_6(v3, v0, v0) | ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v2_funct_1(v3) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | r2_hidden(v3, v1)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v1) | v3_group_6(v3, v0, v0)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v1) | v2_funct_1(v3)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_fraenkel(v3, v2, v2, v1) | m2_relset_1(v3, v2, v2)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_group_6(v3, v0, v0)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_2(v3, v2, v2)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_1(v3)))) & ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ( ~ v4_group_6(v3, v0, v0) | ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | r2_hidden(v3, v1)) & ! [v3] : ( ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v1) | v4_group_6(v3, v0, v0)))) & ! [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) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & m1_fraenkel(v2, v1, v1))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v1, v1, v2) | m2_relset_1(v4, v1, v1)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_group_6(v4, v0, v0)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_2(v4, v1, v1)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_1(v4)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & ! [v3] : (v3 = v2 | ~ m1_fraenkel(v3, v1, v1) | ? [v4] : ((m2_relset_1(v4, v1, v1) & v1_group_6(v4, v0, v0) & v1_funct_2(v4, v1, v1) & v1_funct_1(v4) & ( ~ v3_group_6(v4, v0, v0) | ~ v2_funct_1(v4) | ~ r2_hidden(v4, v3)) & (r2_hidden(v4, v3) | (v3_group_6(v4, v0, v0) & v2_funct_1(v4)))) | (m2_fraenkel(v4, v1, v1, v3) & ( ~ m2_relset_1(v4, v1, v1) | ~ v1_group_6(v4, v0, v0) | ~ v1_funct_2(v4, v1, v1) | ~ v1_funct_1(v4))))) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ v3_group_6(v3, v0, v0) | ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v2_funct_1(v3) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | r2_hidden(v3, v2)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v2) | v3_group_6(v3, v0, v0)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v2) | v2_funct_1(v3)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_fraenkel(v3, v1, v1, v2) | m2_relset_1(v3, v1, v1)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_group_6(v3, v0, v0)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_2(v3, v1, v1)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_1(v3)))) & ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & ! [v3] : ( ~ v4_group_6(v3, v0, v0) | ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | r2_hidden(v3, v2)) & ! [v3] : ( ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v2) | v4_group_6(v3, v0, v0)))) & ! [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(v1, v0) | ~ v1_fraenkel(v0) | v1_funct_1(v1)) & ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, v0) | ~ v1_fraenkel(v0) | v1_relat_1(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] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | v2_funct_1(v0)) & ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0)) & ! [v0] : ( ~ l1_group_1(v0) | ~ v3_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0)) & ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0)) & ? [v0] : ? [v1] : ? [v2] : m1_fraenkel(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) & ? [v0] : ? [v1] : ? [v2] : (v1_funct_2(v2, v0, v1) & m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2)) & ? [v0] : ? [v1] : ? [v2] : (m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2)) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) & ? [v0] : r1_tarski(v0, v0)
% 19.18/5.08 |
% 19.18/5.08 | Applying alpha-rule on (1) yields:
% 19.18/5.08 | (2) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | v1_xboole_0(v0) | v1_group_1(v2) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0))))
% 19.18/5.08 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v4_group_6(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v3_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.18/5.08 | (4) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v1, v1, v2) | m2_relset_1(v4, v1, v1)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_group_6(v4, v0, v0)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_2(v4, v1, v1)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_1(v4))))
% 19.18/5.08 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_struct_0(v2) = v1) | ~ (u1_struct_0(v2) = v0))
% 19.18/5.08 | (6) ! [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))))
% 19.18/5.08 | (7) v4_group_1(all_0_11_11)
% 19.18/5.08 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | ~ v1_xboole_0(v2))
% 19.18/5.08 | (9) v1_xboole_0(all_0_5_5)
% 19.18/5.09 | (10) v1_group_1(all_0_4_4)
% 19.18/5.09 | (11) v3_group_1(all_0_17_17)
% 19.18/5.09 | (12) ! [v0] : ( ~ v1_xboole_0(v0) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | v2_funct_1(v0))
% 19.18/5.09 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v3_group_6(v4, v0, v2) | ~ v2_group_6(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v4_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.18/5.09 | (14) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ m1_subset_1(v0, v2) | r1_tarski(v0, v1))
% 19.18/5.09 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ r1_tarski(v0, v1) | m1_subset_1(v0, v2))
% 19.18/5.09 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v2_group_6(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v2_funct_1(v4) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.18/5.09 | (17) ! [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)))
% 19.18/5.09 | (18) v1_relat_1(all_0_7_7)
% 19.18/5.09 | (19) ~ v3_struct_0(all_0_12_12)
% 19.18/5.09 | (20) v1_group_1(all_0_11_11)
% 19.18/5.09 | (21) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & ! [v3] : (v3 = v2 | ~ m1_fraenkel(v3, v1, v1) | ? [v4] : ((m2_relset_1(v4, v1, v1) & v1_group_6(v4, v0, v0) & v1_funct_2(v4, v1, v1) & v1_funct_1(v4) & ( ~ v3_group_6(v4, v0, v0) | ~ v2_funct_1(v4) | ~ r2_hidden(v4, v3)) & (r2_hidden(v4, v3) | (v3_group_6(v4, v0, v0) & v2_funct_1(v4)))) | (m2_fraenkel(v4, v1, v1, v3) & ( ~ m2_relset_1(v4, v1, v1) | ~ v1_group_6(v4, v0, v0) | ~ v1_funct_2(v4, v1, v1) | ~ v1_funct_1(v4))))) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ v3_group_6(v3, v0, v0) | ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v2_funct_1(v3) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | r2_hidden(v3, v2)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v2) | v3_group_6(v3, v0, v0)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v2) | v2_funct_1(v3)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_fraenkel(v3, v1, v1, v2) | m2_relset_1(v3, v1, v1)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_group_6(v3, v0, v0)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_2(v3, v1, v1)) & ! [v3] : ( ~ m1_fraenkel(v2, v1, v1) | ~ m2_fraenkel(v3, v1, v1, v2) | v1_funct_1(v3))))
% 19.18/5.09 | (22) v1_relat_1(all_0_10_10)
% 19.18/5.09 | (23) ? [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)))
% 19.18/5.09 | (24) ? [v0] : ? [v1] : m1_subset_1(v1, v0)
% 19.18/5.09 | (25) ~ v1_xboole_0(all_0_9_9)
% 19.18/5.09 | (26) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_xboole_0(v1) | ? [v3] : m2_fraenkel(v3, v0, v1, v2))
% 19.18/5.09 | (27) u1_struct_0(all_0_17_17) = all_0_16_16
% 19.18/5.09 | (28) l1_group_1(all_0_17_17)
% 19.18/5.09 | (29) ~ v1_xboole_0(all_0_2_2)
% 19.18/5.09 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v4_group_6(v4, v0, v2) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v2_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.18/5.09 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (g1_group_1(v3, v2) = v1) | ~ (g1_group_1(v3, v2) = v0))
% 19.18/5.09 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_funct_2(v3, v0, v1) | v1_xboole_0(v1))
% 19.18/5.09 | (33) l1_group_1(all_0_4_4)
% 19.18/5.09 | (34) ! [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))))
% 19.18/5.09 | (35) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_xboole_0(v2) | ~ v1_funct_1(v2) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 19.18/5.09 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1) | m1_subset_1(v0, v2))
% 19.18/5.09 | (37) ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & m1_fraenkel(v1, v2, v2)))
% 19.18/5.09 | (38) v2_funct_1(all_0_5_5)
% 19.18/5.09 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_autgroup(v2) = v1) | ~ (k1_autgroup(v2) = v0))
% 19.18/5.09 | (40) v1_funct_1(all_0_10_10)
% 19.18/5.09 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1))
% 19.18/5.10 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (u1_group_1(v2) = v1) | ~ (u1_group_1(v2) = v0))
% 19.18/5.10 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 19.18/5.10 | (44) l1_struct_0(all_0_1_1)
% 19.18/5.10 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_fraenkel(v2, v0, v1) | v1_fraenkel(v2))
% 19.18/5.10 | (46) v1_fraenkel(all_0_2_2)
% 19.18/5.10 | (47) m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.18/5.10 | (48) ! [v0] : ! [v1] : ( ~ r2_hidden(v0, v1) | m1_subset_1(v0, v1))
% 19.18/5.10 | (49) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_funct_2(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_partfun1(v2, v0, v1) | v1_xboole_0(v1) | v1_xboole_0(v0))
% 19.18/5.10 | (50) ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, v0) | ~ v1_fraenkel(v0) | v1_relat_1(v1))
% 19.28/5.10 | (51) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | v1_relat_1(v1))
% 19.28/5.10 | (52) ! [v0] : ! [v1] : ( ~ v1_xboole_0(v1) | ~ r2_hidden(v0, v1))
% 19.28/5.10 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | m2_relset_1(v3, v0, v1) | v1_xboole_0(v1))
% 19.28/5.10 | (54) ? [v0] : r1_tarski(v0, v0)
% 19.28/5.10 | (55) v1_xboole_0(all_0_6_6)
% 19.28/5.10 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k2_funct_1(v4) = v5) | ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ v4_group_6(v4, v2, v0) | ~ m2_relset_1(v5, v1, v3) | ~ m2_relset_1(v4, v3, v1) | ~ v1_group_6(v5, v0, v2) | ~ v1_group_6(v4, v2, v0) | ~ v1_funct_2(v5, v1, v3) | ~ v1_funct_2(v4, v3, v1) | ~ v1_funct_1(v5) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v4_group_6(v5, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.28/5.10 | (57) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ v1_funct_1(v0) | ~ v1_relat_1(v0) | v1_funct_1(v1))
% 19.28/5.10 | (58) l1_group_1(all_0_8_8)
% 19.28/5.10 | (59) ? [v0] : ? [v1] : ? [v2] : (v1_funct_2(v2, v0, v1) & m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2))
% 19.28/5.10 | (60) ! [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)))
% 19.28/5.10 | (61) v1_relat_1(all_0_5_5)
% 19.28/5.10 | (62) l1_group_1(all_0_11_11)
% 19.28/5.10 | (63) v1_group_1(all_0_17_17)
% 19.28/5.10 | (64) v2_group_1(all_0_11_11)
% 19.28/5.10 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 19.28/5.10 | (66) v1_funct_1(all_0_3_3)
% 19.28/5.10 | (67) k2_funct_1(all_0_14_14) = all_0_13_13
% 19.28/5.10 | (68) ~ v3_struct_0(all_0_8_8)
% 19.28/5.10 | (69) ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : (v3 = v1 | ~ m1_fraenkel(v3, v2, v2) | ? [v4] : ((m2_relset_1(v4, v2, v2) & v1_group_6(v4, v0, v0) & v1_funct_2(v4, v2, v2) & v1_funct_1(v4) & ( ~ v3_group_6(v4, v0, v0) | ~ v2_funct_1(v4) | ~ r2_hidden(v4, v3)) & (r2_hidden(v4, v3) | (v3_group_6(v4, v0, v0) & v2_funct_1(v4)))) | (m2_fraenkel(v4, v2, v2, v3) & ( ~ m2_relset_1(v4, v2, v2) | ~ v1_group_6(v4, v0, v0) | ~ v1_funct_2(v4, v2, v2) | ~ v1_funct_1(v4))))) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ v3_group_6(v3, v0, v0) | ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v2_funct_1(v3) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | r2_hidden(v3, v1)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v1) | v3_group_6(v3, v0, v0)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v1) | v2_funct_1(v3)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_fraenkel(v3, v2, v2, v1) | m2_relset_1(v3, v2, v2)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_group_6(v3, v0, v0)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_2(v3, v2, v2)) & ! [v3] : ( ~ m1_fraenkel(v1, v2, v2) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_1(v3))))
% 19.28/5.10 | (70) ! [v0] : ! [v1] : (v1 = v0 | ~ v1_xboole_0(v1) | ~ v1_xboole_0(v0))
% 19.28/5.10 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (u1_struct_0(v2) = v3) | ~ (u1_struct_0(v0) = v1) | ~ m2_relset_1(v4, v1, v3) | ~ v1_group_6(v4, v0, v2) | ~ v2_funct_1(v4) | ~ v1_funct_2(v4, v1, v3) | ~ v1_funct_1(v4) | ~ l1_group_1(v2) | ~ l1_group_1(v0) | ~ v4_group_1(v2) | ~ v4_group_1(v0) | ~ v3_group_1(v2) | ~ v3_group_1(v0) | v2_group_6(v4, v0, v2) | v3_struct_0(v2) | v3_struct_0(v0))
% 19.28/5.10 | (72) ! [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)))
% 19.28/5.10 | (73) ~ v3_struct_0(all_0_11_11)
% 19.28/5.10 | (74) ~ m2_fraenkel(all_0_13_13, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.28/5.10 | (75) ! [v0] : ( ~ v1_xboole_0(v0) | v1_funct_1(v0))
% 19.28/5.10 | (76) v1_funct_1(all_0_5_5)
% 19.28/5.10 | (77) ! [v0] : ! [v1] : ! [v2] : ( ~ v1_partfun1(v2, v0, v1) | ~ m1_relset_1(v2, v0, v1) | ~ v1_funct_1(v2) | v1_funct_2(v2, v0, v1))
% 19.28/5.10 | (78) ? [v0] : ? [v1] : ? [v2] : m1_fraenkel(v2, v0, v1)
% 19.28/5.10 | (79) v1_group_1(all_0_8_8)
% 19.28/5.10 | (80) ! [v0] : ! [v1] : ( ~ (u1_group_1(v0) = v1) | ~ l1_group_1(v0) | v1_funct_1(v1))
% 19.28/5.10 | (81) ! [v0] : ( ~ l1_group_1(v0) | ~ v3_group_1(v0) | v2_group_1(v0) | v3_struct_0(v0))
% 19.28/5.10 | (82) v4_group_1(all_0_17_17)
% 19.28/5.10 | (83) ! [v0] : ! [v1] : ( ~ m1_subset_1(v0, v1) | v1_xboole_0(v1) | r2_hidden(v0, v1))
% 19.28/5.10 | (84) ! [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)))
% 19.28/5.10 | (85) v1_funct_1(all_0_7_7)
% 19.28/5.10 | (86) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1)
% 19.28/5.10 | (87) ! [v0] : ! [v1] : ( ~ m1_subset_1(v1, v0) | ~ v1_fraenkel(v0) | v1_funct_1(v1))
% 19.28/5.10 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u1_struct_0(v1) = v3) | ~ (u1_struct_0(v0) = v2) | ~ l1_group_1(v1) | ~ l1_group_1(v0) | ~ v4_group_1(v1) | ~ v4_group_1(v0) | ~ v3_group_1(v1) | ~ v3_group_1(v0) | v3_struct_0(v1) | v3_struct_0(v0) | ? [v4] : (v1_group_6(v4, v0, v1) & v1_funct_2(v4, v2, v3) & v1_partfun1(v4, v2, v3) & m1_relset_1(v4, v2, v3) & v1_funct_1(v4) & v1_relat_1(v4) & ~ v1_xboole_0(v4)))
% 19.28/5.11 | (89) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & ! [v3] : ( ~ v4_group_6(v3, v0, v0) | ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | r2_hidden(v3, v2)) & ! [v3] : ( ~ m2_relset_1(v3, v1, v1) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v1, v1) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v2) | v4_group_6(v3, v0, v0))))
% 19.28/5.11 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | m1_subset_1(v3, v2))
% 19.28/5.11 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m1_subset_1(v3, v2) | v1_xboole_0(v1) | m2_fraenkel(v3, v0, v1, v2))
% 19.28/5.11 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (u1_struct_0(v0) = v1) | ~ (u1_group_1(v0) = v2) | ~ (g1_group_1(v1, v2) = v3) | ~ l1_group_1(v0) | ~ v1_group_1(v0))
% 19.28/5.11 | (93) ! [v0] : (v0 = k1_xboole_0 | ~ v1_xboole_0(v0))
% 19.28/5.11 | (94) ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v2, v2, v1) | m2_relset_1(v4, v2, v2)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_group_6(v4, v0, v0)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_2(v4, v2, v2)) & ! [v3] : ! [v4] : ( ~ (k2_funct_1(v3) = v4) | ~ m2_fraenkel(v3, v2, v2, v1) | v1_funct_1(v4))))
% 19.28/5.11 | (95) k1_autgroup(all_0_17_17) = all_0_15_15
% 19.28/5.11 | (96) ! [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)))
% 19.28/5.11 | (97) ! [v0] : ! [v1] : ( ~ r2_hidden(v1, v0) | ~ r2_hidden(v0, v1))
% 19.28/5.11 | (98) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_struct_0(v0) | ~ v1_xboole_0(v1) | v3_struct_0(v0))
% 19.28/5.11 | (99) v1_xboole_0(all_0_7_7)
% 19.28/5.11 | (100) ! [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))))
% 19.28/5.11 | (101) ! [v0] : ! [v1] : ( ~ (k1_autgroup(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (u1_struct_0(v0) = v2 & ! [v3] : ( ~ v4_group_6(v3, v0, v0) | ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | r2_hidden(v3, v1)) & ! [v3] : ( ~ m2_relset_1(v3, v2, v2) | ~ v1_group_6(v3, v0, v0) | ~ v1_funct_2(v3, v2, v2) | ~ v1_funct_1(v3) | ~ r2_hidden(v3, v1) | v4_group_6(v3, v0, v0))))
% 19.28/5.11 | (102) ~ v3_struct_0(all_0_17_17)
% 19.28/5.11 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ v1_xboole_0(v2) | ~ m1_subset_1(v1, v3) | ~ r2_hidden(v0, v1))
% 19.28/5.11 | (104) v2_funct_1(all_0_10_10)
% 19.28/5.11 | (105) ! [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))))
% 19.28/5.11 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ m1_fraenkel(v2, v0, v1) | ~ m2_fraenkel(v3, v0, v1, v2) | v1_xboole_0(v1) | v1_funct_1(v3))
% 19.28/5.11 | (107) v1_xboole_0(k1_xboole_0)
% 19.28/5.11 | (108) ! [v0] : ! [v1] : ! [v2] : ( ~ (g1_group_1(v0, v1) = v2) | ~ v1_funct_1(v1) | ~ v3_struct_0(v2) | v1_xboole_0(v0) | ? [v3] : (k2_zfmisc_1(v0, v0) = v3 & ( ~ v1_funct_2(v1, v3, v0) | ~ m1_relset_1(v1, v3, v0))))
% 19.28/5.11 | (109) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k2_funct_1(v2) = v1) | ~ (k2_funct_1(v2) = v0))
% 19.28/5.11 | (110) l1_struct_0(all_0_12_12)
% 19.28/5.11 | (111) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1)
% 19.28/5.11 | (112) ! [v0] : ( ~ l1_group_1(v0) | l1_struct_0(v0))
% 19.28/5.11 | (113) v3_group_1(all_0_11_11)
% 19.28/5.11 | (114) ! [v0] : ! [v1] : ( ~ (u1_struct_0(v0) = v1) | ~ l1_group_1(v0) | ~ v4_group_1(v0) | ~ v3_group_1(v0) | ~ v1_group_1(v0) | v3_struct_0(v0) | ? [v2] : (k1_autgroup(v0) = v2 & m1_fraenkel(v2, v1, v1)))
% 19.28/5.11 | (115) l1_group_1(all_0_0_0)
% 19.28/5.11 | (116) ? [v0] : ? [v1] : ? [v2] : (m1_relset_1(v2, v0, v1) & v1_funct_1(v2) & v1_relat_1(v2))
% 19.28/5.11 | (117) ! [v0] : ! [v1] : ! [v2] : ( ~ m1_relset_1(v2, v0, v1) | m2_relset_1(v2, v0, v1))
% 19.28/5.11 | (118) ! [v0] : ! [v1] : ! [v2] : ( ~ m2_relset_1(v2, v0, v1) | m1_relset_1(v2, v0, v1))
% 19.28/5.11 | (119) v1_relat_1(all_0_3_3)
% 19.28/5.11 |
% 19.28/5.11 | Instantiating formula (96) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), yields:
% 19.28/5.11 | (120) ? [v0] : ? [v1] : (k2_zfmisc_1(all_0_16_16, all_0_16_16) = v1 & u1_group_1(all_0_17_17) = v0 & m2_relset_1(v0, v1, all_0_16_16) & v1_funct_2(v0, v1, all_0_16_16) & v1_funct_1(v0))
% 19.28/5.11 |
% 19.28/5.11 | Instantiating formula (112) with all_0_17_17 and discharging atoms l1_group_1(all_0_17_17), yields:
% 19.28/5.11 | (121) l1_struct_0(all_0_17_17)
% 19.28/5.11 |
% 19.28/5.11 | Instantiating formula (37) with all_0_15_15, all_0_17_17 and discharging atoms k1_autgroup(all_0_17_17) = all_0_15_15, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.11 | (122) ? [v0] : (u1_struct_0(all_0_17_17) = v0 & m1_fraenkel(all_0_15_15, v0, v0))
% 19.28/5.11 |
% 19.28/5.11 | Instantiating formula (94) with all_0_15_15, all_0_17_17 and discharging atoms k1_autgroup(all_0_17_17) = all_0_15_15, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.11 | (123) ? [v0] : (u1_struct_0(all_0_17_17) = v0 & ! [v1] : ! [v2] : ( ~ (k2_funct_1(v1) = v2) | ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | m2_relset_1(v2, v0, v0)) & ! [v1] : ! [v2] : ( ~ (k2_funct_1(v1) = v2) | ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_group_6(v2, all_0_17_17, all_0_17_17)) & ! [v1] : ! [v2] : ( ~ (k2_funct_1(v1) = v2) | ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_funct_2(v2, v0, v0)) & ! [v1] : ! [v2] : ( ~ (k2_funct_1(v1) = v2) | ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_funct_1(v2)))
% 19.28/5.11 |
% 19.28/5.11 | Instantiating formula (69) with all_0_15_15, all_0_17_17 and discharging atoms k1_autgroup(all_0_17_17) = all_0_15_15, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.11 | (124) ? [v0] : (u1_struct_0(all_0_17_17) = v0 & ! [v1] : (v1 = all_0_15_15 | ~ m1_fraenkel(v1, v0, v0) | ? [v2] : ((m2_relset_1(v2, v0, v0) & v1_group_6(v2, all_0_17_17, all_0_17_17) & v1_funct_2(v2, v0, v0) & v1_funct_1(v2) & ( ~ v3_group_6(v2, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v2) | ~ r2_hidden(v2, v1)) & (r2_hidden(v2, v1) | (v3_group_6(v2, all_0_17_17, all_0_17_17) & v2_funct_1(v2)))) | (m2_fraenkel(v2, v0, v0, v1) & ( ~ m2_relset_1(v2, v0, v0) | ~ v1_group_6(v2, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v2, v0, v0) | ~ v1_funct_1(v2))))) & ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) | ~ v3_group_6(v1, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v1, v0, v0) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v1) | ~ v1_funct_2(v1, v0, v0) | ~ v1_funct_1(v1) | r2_hidden(v1, all_0_15_15)) & ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) | ~ m2_relset_1(v1, v0, v0) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, v0, v0) | ~ v1_funct_1(v1) | ~ r2_hidden(v1, all_0_15_15) | v3_group_6(v1, all_0_17_17, all_0_17_17)) & ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) | ~ m2_relset_1(v1, v0, v0) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, v0, v0) | ~ v1_funct_1(v1) | ~ r2_hidden(v1, all_0_15_15) | v2_funct_1(v1)) & ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) | ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | m2_relset_1(v1, v0, v0)) & ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) | ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_group_6(v1, all_0_17_17, all_0_17_17)) & ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) | ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_funct_2(v1, v0, v0)) & ! [v1] : ( ~ m1_fraenkel(all_0_15_15, v0, v0) | ~ m2_fraenkel(v1, v0, v0, all_0_15_15) | v1_funct_1(v1)))
% 19.28/5.12 |
% 19.28/5.12 | Instantiating formula (101) with all_0_15_15, all_0_17_17 and discharging atoms k1_autgroup(all_0_17_17) = all_0_15_15, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12 | (125) ? [v0] : (u1_struct_0(all_0_17_17) = v0 & ! [v1] : ( ~ v4_group_6(v1, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v1, v0, v0) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, v0, v0) | ~ v1_funct_1(v1) | r2_hidden(v1, all_0_15_15)) & ! [v1] : ( ~ m2_relset_1(v1, v0, v0) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, v0, v0) | ~ v1_funct_1(v1) | ~ r2_hidden(v1, all_0_15_15) | v4_group_6(v1, all_0_17_17, all_0_17_17)))
% 19.28/5.12 |
% 19.28/5.12 | Instantiating formula (114) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12 | (126) ? [v0] : (k1_autgroup(all_0_17_17) = v0 & m1_fraenkel(v0, all_0_16_16, all_0_16_16))
% 19.28/5.12 |
% 19.28/5.12 | Instantiating formula (4) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12 | (127) ? [v0] : (k1_autgroup(all_0_17_17) = v0 & ! [v1] : ! [v2] : ( ~ (k2_funct_1(v1) = v2) | ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | m2_relset_1(v2, all_0_16_16, all_0_16_16)) & ! [v1] : ! [v2] : ( ~ (k2_funct_1(v1) = v2) | ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_group_6(v2, all_0_17_17, all_0_17_17)) & ! [v1] : ! [v2] : ( ~ (k2_funct_1(v1) = v2) | ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_funct_2(v2, all_0_16_16, all_0_16_16)) & ! [v1] : ! [v2] : ( ~ (k2_funct_1(v1) = v2) | ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_funct_1(v2)))
% 19.28/5.12 |
% 19.28/5.12 | Instantiating formula (21) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12 | (128) ? [v0] : (k1_autgroup(all_0_17_17) = v0 & ! [v1] : (v1 = v0 | ~ m1_fraenkel(v1, all_0_16_16, all_0_16_16) | ? [v2] : ((m2_relset_1(v2, all_0_16_16, all_0_16_16) & v1_group_6(v2, all_0_17_17, all_0_17_17) & v1_funct_2(v2, all_0_16_16, all_0_16_16) & v1_funct_1(v2) & ( ~ v3_group_6(v2, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v2) | ~ r2_hidden(v2, v1)) & (r2_hidden(v2, v1) | (v3_group_6(v2, all_0_17_17, all_0_17_17) & v2_funct_1(v2)))) | (m2_fraenkel(v2, all_0_16_16, all_0_16_16, v1) & ( ~ m2_relset_1(v2, all_0_16_16, all_0_16_16) | ~ v1_group_6(v2, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v2, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v2))))) & ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) | ~ v3_group_6(v1, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v1) | ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v1) | r2_hidden(v1, v0)) & ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) | ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v1) | ~ r2_hidden(v1, v0) | v3_group_6(v1, all_0_17_17, all_0_17_17)) & ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) | ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v1) | ~ r2_hidden(v1, v0) | v2_funct_1(v1)) & ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | m2_relset_1(v1, all_0_16_16, all_0_16_16)) & ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_group_6(v1, all_0_17_17, all_0_17_17)) & ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_funct_2(v1, all_0_16_16, all_0_16_16)) & ! [v1] : ( ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) | v1_funct_1(v1)))
% 19.28/5.12 |
% 19.28/5.12 | Instantiating formula (89) with all_0_16_16, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = all_0_16_16, l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), v1_group_1(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 19.28/5.12 | (129) ? [v0] : (k1_autgroup(all_0_17_17) = v0 & ! [v1] : ( ~ v4_group_6(v1, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v1) | r2_hidden(v1, v0)) & ! [v1] : ( ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v1) | ~ r2_hidden(v1, v0) | v4_group_6(v1, all_0_17_17, all_0_17_17)))
% 19.28/5.12 |
% 19.28/5.12 | Instantiating (129) with all_29_0_37 yields:
% 19.28/5.12 | (130) k1_autgroup(all_0_17_17) = all_29_0_37 & ! [v0] : ( ~ v4_group_6(v0, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | r2_hidden(v0, all_29_0_37)) & ! [v0] : ( ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_29_0_37) | v4_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.12 |
% 19.28/5.12 | Applying alpha-rule on (130) yields:
% 19.28/5.12 | (131) k1_autgroup(all_0_17_17) = all_29_0_37
% 19.28/5.12 | (132) ! [v0] : ( ~ v4_group_6(v0, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | r2_hidden(v0, all_29_0_37))
% 19.28/5.12 | (133) ! [v0] : ( ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_29_0_37) | v4_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.12 |
% 19.28/5.12 | Instantiating (124) with all_32_0_38 yields:
% 19.28/5.12 | (134) u1_struct_0(all_0_17_17) = all_32_0_38 & ! [v0] : (v0 = all_0_15_15 | ~ m1_fraenkel(v0, all_32_0_38, all_32_0_38) | ? [v1] : ((m2_relset_1(v1, all_32_0_38, all_32_0_38) & v1_group_6(v1, all_0_17_17, all_0_17_17) & v1_funct_2(v1, all_32_0_38, all_32_0_38) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v1) | ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_17_17, all_0_17_17) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_32_0_38, all_32_0_38, v0) & ( ~ m2_relset_1(v1, all_32_0_38, all_32_0_38) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, all_32_0_38, all_32_0_38) | ~ v1_funct_1(v1))))) & ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ v3_group_6(v0, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v0) | ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) | ~ v1_funct_1(v0) | r2_hidden(v0, all_0_15_15)) & ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_0_15_15) | v3_group_6(v0, all_0_17_17, all_0_17_17)) & ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_0_15_15) | v2_funct_1(v0)) & ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | m2_relset_1(v0, all_32_0_38, all_32_0_38)) & ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(v0, all_0_17_17, all_0_17_17)) & ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_2(v0, all_32_0_38, all_32_0_38)) & ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_1(v0))
% 19.28/5.12 |
% 19.28/5.12 | Applying alpha-rule on (134) yields:
% 19.28/5.12 | (135) u1_struct_0(all_0_17_17) = all_32_0_38
% 19.28/5.12 | (136) ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ v3_group_6(v0, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v0) | ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) | ~ v1_funct_1(v0) | r2_hidden(v0, all_0_15_15))
% 19.28/5.12 | (137) ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_0_15_15) | v2_funct_1(v0))
% 19.28/5.12 | (138) ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_1(v0))
% 19.28/5.12 | (139) ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | m2_relset_1(v0, all_32_0_38, all_32_0_38))
% 19.28/5.12 | (140) ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_2(v0, all_32_0_38, all_32_0_38))
% 19.28/5.12 | (141) ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(v0, all_32_0_38, all_32_0_38) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_32_0_38, all_32_0_38) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_0_15_15) | v3_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.12 | (142) ! [v0] : ( ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(v0, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.12 | (143) ! [v0] : (v0 = all_0_15_15 | ~ m1_fraenkel(v0, all_32_0_38, all_32_0_38) | ? [v1] : ((m2_relset_1(v1, all_32_0_38, all_32_0_38) & v1_group_6(v1, all_0_17_17, all_0_17_17) & v1_funct_2(v1, all_32_0_38, all_32_0_38) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v1) | ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_17_17, all_0_17_17) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_32_0_38, all_32_0_38, v0) & ( ~ m2_relset_1(v1, all_32_0_38, all_32_0_38) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, all_32_0_38, all_32_0_38) | ~ v1_funct_1(v1)))))
% 19.28/5.13 |
% 19.28/5.13 | Instantiating (123) with all_37_0_40 yields:
% 19.28/5.13 | (144) u1_struct_0(all_0_17_17) = all_37_0_40 & ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | m2_relset_1(v1, all_37_0_40, all_37_0_40)) & ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_group_6(v1, all_0_17_17, all_0_17_17)) & ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_funct_2(v1, all_37_0_40, all_37_0_40)) & ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_funct_1(v1))
% 19.28/5.13 |
% 19.28/5.13 | Applying alpha-rule on (144) yields:
% 19.28/5.13 | (145) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_funct_2(v1, all_37_0_40, all_37_0_40))
% 19.28/5.13 | (146) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | m2_relset_1(v1, all_37_0_40, all_37_0_40))
% 19.28/5.13 | (147) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_group_6(v1, all_0_17_17, all_0_17_17))
% 19.28/5.13 | (148) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_37_0_40, all_37_0_40, all_0_15_15) | v1_funct_1(v1))
% 19.28/5.13 | (149) u1_struct_0(all_0_17_17) = all_37_0_40
% 19.28/5.13 |
% 19.28/5.13 | Instantiating (120) with all_40_0_41, all_40_1_42 yields:
% 19.28/5.13 | (150) k2_zfmisc_1(all_0_16_16, all_0_16_16) = all_40_0_41 & u1_group_1(all_0_17_17) = all_40_1_42 & m2_relset_1(all_40_1_42, all_40_0_41, all_0_16_16) & v1_funct_2(all_40_1_42, all_40_0_41, all_0_16_16) & v1_funct_1(all_40_1_42)
% 19.28/5.13 |
% 19.28/5.13 | Applying alpha-rule on (150) yields:
% 19.28/5.13 | (151) v1_funct_2(all_40_1_42, all_40_0_41, all_0_16_16)
% 19.28/5.13 | (152) v1_funct_1(all_40_1_42)
% 19.28/5.13 | (153) k2_zfmisc_1(all_0_16_16, all_0_16_16) = all_40_0_41
% 19.28/5.13 | (154) m2_relset_1(all_40_1_42, all_40_0_41, all_0_16_16)
% 19.28/5.13 | (155) u1_group_1(all_0_17_17) = all_40_1_42
% 19.28/5.13 |
% 19.28/5.13 | Instantiating (128) with all_42_0_43 yields:
% 19.28/5.13 | (156) k1_autgroup(all_0_17_17) = all_42_0_43 & ! [v0] : (v0 = all_42_0_43 | ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) | ? [v1] : ((m2_relset_1(v1, all_0_16_16, all_0_16_16) & v1_group_6(v1, all_0_17_17, all_0_17_17) & v1_funct_2(v1, all_0_16_16, all_0_16_16) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v1) | ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_17_17, all_0_17_17) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) & ( ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v1))))) & ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ v3_group_6(v0, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v0) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | r2_hidden(v0, all_42_0_43)) & ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_42_0_43) | v3_group_6(v0, all_0_17_17, all_0_17_17)) & ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_42_0_43) | v2_funct_1(v0)) & ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | m2_relset_1(v0, all_0_16_16, all_0_16_16)) & ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(v0, all_0_17_17, all_0_17_17)) & ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_2(v0, all_0_16_16, all_0_16_16)) & ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_1(v0))
% 19.28/5.13 |
% 19.28/5.13 | Applying alpha-rule on (156) yields:
% 19.28/5.13 | (157) ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.13 | (158) ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | m2_relset_1(v0, all_0_16_16, all_0_16_16))
% 19.28/5.13 | (159) ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_42_0_43) | v2_funct_1(v0))
% 19.28/5.13 | (160) ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_42_0_43) | v3_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.13 | (161) k1_autgroup(all_0_17_17) = all_42_0_43
% 19.28/5.13 | (162) ! [v0] : (v0 = all_42_0_43 | ~ m1_fraenkel(v0, all_0_16_16, all_0_16_16) | ? [v1] : ((m2_relset_1(v1, all_0_16_16, all_0_16_16) & v1_group_6(v1, all_0_17_17, all_0_17_17) & v1_funct_2(v1, all_0_16_16, all_0_16_16) & v1_funct_1(v1) & ( ~ v3_group_6(v1, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v1) | ~ r2_hidden(v1, v0)) & (r2_hidden(v1, v0) | (v3_group_6(v1, all_0_17_17, all_0_17_17) & v2_funct_1(v1)))) | (m2_fraenkel(v1, all_0_16_16, all_0_16_16, v0) & ( ~ m2_relset_1(v1, all_0_16_16, all_0_16_16) | ~ v1_group_6(v1, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v1, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v1)))))
% 19.28/5.13 | (163) ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ v3_group_6(v0, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v0, all_0_16_16, all_0_16_16) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v2_funct_1(v0) | ~ v1_funct_2(v0, all_0_16_16, all_0_16_16) | ~ v1_funct_1(v0) | r2_hidden(v0, all_42_0_43))
% 19.28/5.13 | (164) ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_1(v0))
% 19.28/5.13 | (165) ! [v0] : ( ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_2(v0, all_0_16_16, all_0_16_16))
% 19.28/5.13 |
% 19.28/5.13 | Instantiating (126) with all_45_0_44 yields:
% 19.28/5.13 | (166) k1_autgroup(all_0_17_17) = all_45_0_44 & m1_fraenkel(all_45_0_44, all_0_16_16, all_0_16_16)
% 19.28/5.13 |
% 19.28/5.13 | Applying alpha-rule on (166) yields:
% 19.28/5.13 | (167) k1_autgroup(all_0_17_17) = all_45_0_44
% 19.28/5.13 | (168) m1_fraenkel(all_45_0_44, all_0_16_16, all_0_16_16)
% 19.28/5.13 |
% 19.28/5.13 | Instantiating (125) with all_47_0_45 yields:
% 19.28/5.13 | (169) u1_struct_0(all_0_17_17) = all_47_0_45 & ! [v0] : ( ~ v4_group_6(v0, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v0, all_47_0_45, all_47_0_45) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_47_0_45, all_47_0_45) | ~ v1_funct_1(v0) | r2_hidden(v0, all_0_15_15)) & ! [v0] : ( ~ m2_relset_1(v0, all_47_0_45, all_47_0_45) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_47_0_45, all_47_0_45) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_0_15_15) | v4_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.13 |
% 19.28/5.13 | Applying alpha-rule on (169) yields:
% 19.28/5.13 | (170) u1_struct_0(all_0_17_17) = all_47_0_45
% 19.28/5.13 | (171) ! [v0] : ( ~ v4_group_6(v0, all_0_17_17, all_0_17_17) | ~ m2_relset_1(v0, all_47_0_45, all_47_0_45) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_47_0_45, all_47_0_45) | ~ v1_funct_1(v0) | r2_hidden(v0, all_0_15_15))
% 19.28/5.13 | (172) ! [v0] : ( ~ m2_relset_1(v0, all_47_0_45, all_47_0_45) | ~ v1_group_6(v0, all_0_17_17, all_0_17_17) | ~ v1_funct_2(v0, all_47_0_45, all_47_0_45) | ~ v1_funct_1(v0) | ~ r2_hidden(v0, all_0_15_15) | v4_group_6(v0, all_0_17_17, all_0_17_17))
% 19.28/5.13 |
% 19.28/5.13 | Instantiating (127) with all_50_0_46 yields:
% 19.28/5.13 | (173) k1_autgroup(all_0_17_17) = all_50_0_46 & ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | m2_relset_1(v1, all_0_16_16, all_0_16_16)) & ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_group_6(v1, all_0_17_17, all_0_17_17)) & ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_2(v1, all_0_16_16, all_0_16_16)) & ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_1(v1))
% 19.28/5.13 |
% 19.28/5.13 | Applying alpha-rule on (173) yields:
% 19.28/5.13 | (174) k1_autgroup(all_0_17_17) = all_50_0_46
% 19.28/5.13 | (175) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_group_6(v1, all_0_17_17, all_0_17_17))
% 19.28/5.13 | (176) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | m2_relset_1(v1, all_0_16_16, all_0_16_16))
% 19.28/5.13 | (177) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_2(v1, all_0_16_16, all_0_16_16))
% 19.28/5.13 | (178) ! [v0] : ! [v1] : ( ~ (k2_funct_1(v0) = v1) | ~ m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_1(v1))
% 19.28/5.13 |
% 19.28/5.13 | Instantiating (122) with all_53_0_47 yields:
% 19.28/5.13 | (179) u1_struct_0(all_0_17_17) = all_53_0_47 & m1_fraenkel(all_0_15_15, all_53_0_47, all_53_0_47)
% 19.28/5.13 |
% 19.44/5.13 | Applying alpha-rule on (179) yields:
% 19.44/5.13 | (180) u1_struct_0(all_0_17_17) = all_53_0_47
% 19.44/5.13 | (181) m1_fraenkel(all_0_15_15, all_53_0_47, all_53_0_47)
% 19.44/5.13 |
% 19.44/5.13 | Instantiating formula (39) with all_0_17_17, all_45_0_44, all_0_15_15 and discharging atoms k1_autgroup(all_0_17_17) = all_45_0_44, k1_autgroup(all_0_17_17) = all_0_15_15, yields:
% 19.44/5.13 | (182) all_45_0_44 = all_0_15_15
% 19.44/5.13 |
% 19.44/5.13 | Instantiating formula (39) with all_0_17_17, all_45_0_44, all_50_0_46 and discharging atoms k1_autgroup(all_0_17_17) = all_50_0_46, k1_autgroup(all_0_17_17) = all_45_0_44, yields:
% 19.44/5.13 | (183) all_50_0_46 = all_45_0_44
% 19.44/5.13 |
% 19.44/5.13 | Instantiating formula (39) with all_0_17_17, all_42_0_43, all_50_0_46 and discharging atoms k1_autgroup(all_0_17_17) = all_50_0_46, k1_autgroup(all_0_17_17) = all_42_0_43, yields:
% 19.44/5.13 | (184) all_50_0_46 = all_42_0_43
% 19.44/5.13 |
% 19.44/5.13 | Instantiating formula (39) with all_0_17_17, all_29_0_37, all_45_0_44 and discharging atoms k1_autgroup(all_0_17_17) = all_45_0_44, k1_autgroup(all_0_17_17) = all_29_0_37, yields:
% 19.44/5.13 | (185) all_45_0_44 = all_29_0_37
% 19.44/5.13 |
% 19.44/5.13 | Instantiating formula (5) with all_0_17_17, all_47_0_45, all_0_16_16 and discharging atoms u1_struct_0(all_0_17_17) = all_47_0_45, u1_struct_0(all_0_17_17) = all_0_16_16, yields:
% 19.44/5.13 | (186) all_47_0_45 = all_0_16_16
% 19.44/5.13 |
% 19.44/5.13 | Instantiating formula (5) with all_0_17_17, all_37_0_40, all_53_0_47 and discharging atoms u1_struct_0(all_0_17_17) = all_53_0_47, u1_struct_0(all_0_17_17) = all_37_0_40, yields:
% 19.44/5.13 | (187) all_53_0_47 = all_37_0_40
% 19.44/5.13 |
% 19.44/5.13 | Instantiating formula (5) with all_0_17_17, all_37_0_40, all_47_0_45 and discharging atoms u1_struct_0(all_0_17_17) = all_47_0_45, u1_struct_0(all_0_17_17) = all_37_0_40, yields:
% 19.44/5.13 | (188) all_47_0_45 = all_37_0_40
% 19.44/5.13 |
% 19.44/5.14 | Instantiating formula (5) with all_0_17_17, all_32_0_38, all_53_0_47 and discharging atoms u1_struct_0(all_0_17_17) = all_53_0_47, u1_struct_0(all_0_17_17) = all_32_0_38, yields:
% 19.44/5.14 | (189) all_53_0_47 = all_32_0_38
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (187,189) yields a new equation:
% 19.44/5.14 | (190) all_37_0_40 = all_32_0_38
% 19.44/5.14 |
% 19.44/5.14 | Simplifying 190 yields:
% 19.44/5.14 | (191) all_37_0_40 = all_32_0_38
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (183,184) yields a new equation:
% 19.44/5.14 | (192) all_45_0_44 = all_42_0_43
% 19.44/5.14 |
% 19.44/5.14 | Simplifying 192 yields:
% 19.44/5.14 | (193) all_45_0_44 = all_42_0_43
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (188,186) yields a new equation:
% 19.44/5.14 | (194) all_37_0_40 = all_0_16_16
% 19.44/5.14 |
% 19.44/5.14 | Simplifying 194 yields:
% 19.44/5.14 | (195) all_37_0_40 = all_0_16_16
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (182,193) yields a new equation:
% 19.44/5.14 | (196) all_42_0_43 = all_0_15_15
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (185,193) yields a new equation:
% 19.44/5.14 | (197) all_42_0_43 = all_29_0_37
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (196,197) yields a new equation:
% 19.44/5.14 | (198) all_29_0_37 = all_0_15_15
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (195,191) yields a new equation:
% 19.44/5.14 | (199) all_32_0_38 = all_0_16_16
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (199,191) yields a new equation:
% 19.44/5.14 | (195) all_37_0_40 = all_0_16_16
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (198,197) yields a new equation:
% 19.44/5.14 | (196) all_42_0_43 = all_0_15_15
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (196,184) yields a new equation:
% 19.44/5.14 | (202) all_50_0_46 = all_0_15_15
% 19.44/5.14 |
% 19.44/5.14 | Combining equations (199,189) yields a new equation:
% 19.44/5.14 | (203) all_53_0_47 = all_0_16_16
% 19.44/5.14 |
% 19.44/5.14 | From (199) and (135) follows:
% 19.44/5.14 | (27) u1_struct_0(all_0_17_17) = all_0_16_16
% 19.44/5.14 |
% 19.44/5.14 | From (203)(203) and (181) follows:
% 19.44/5.14 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (90) with all_0_14_14, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15), yields:
% 19.44/5.14 | (206) v1_xboole_0(all_0_16_16) | m1_subset_1(all_0_14_14, all_0_15_15)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (158) with all_0_14_14 yields:
% 19.44/5.14 | (207) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (157) with all_0_14_14 yields:
% 19.44/5.14 | (208) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (165) with all_0_14_14 yields:
% 19.44/5.14 | (209) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (142) with all_0_14_14 yields:
% 19.44/5.14 | (210) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (140) with all_0_14_14 yields:
% 19.44/5.14 | (211) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (138) with all_0_14_14 yields:
% 19.44/5.14 | (212) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_funct_1(all_0_14_14)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (26) with all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), yields:
% 19.44/5.14 | (213) v1_xboole_0(all_0_16_16) | ? [v0] : m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (45) with all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), yields:
% 19.44/5.14 | (214) v1_fraenkel(all_0_15_15)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (118) with all_40_1_42, all_0_16_16, all_40_0_41 and discharging atoms m2_relset_1(all_40_1_42, all_40_0_41, all_0_16_16), yields:
% 19.44/5.14 | (215) m1_relset_1(all_40_1_42, all_40_0_41, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 +-Applying beta-rule and splitting (212), into two cases.
% 19.44/5.14 |-Branch one:
% 19.44/5.14 | (216) v1_funct_1(all_0_14_14)
% 19.44/5.14 |
% 19.44/5.14 +-Applying beta-rule and splitting (207), into two cases.
% 19.44/5.14 |-Branch one:
% 19.44/5.14 | (217) m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 +-Applying beta-rule and splitting (209), into two cases.
% 19.44/5.14 |-Branch one:
% 19.44/5.14 | (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 +-Applying beta-rule and splitting (208), into two cases.
% 19.44/5.14 |-Branch one:
% 19.44/5.14 | (219) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | From (196) and (219) follows:
% 19.44/5.14 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Using (205) and (220) yields:
% 19.44/5.14 | (221) $false
% 19.44/5.14 |
% 19.44/5.14 |-The branch is then unsatisfiable
% 19.44/5.14 |-Branch two:
% 19.44/5.14 | (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.14 | (223) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14 |
% 19.44/5.14 | From (196) and (222) follows:
% 19.44/5.14 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 +-Applying beta-rule and splitting (210), into two cases.
% 19.44/5.14 |-Branch one:
% 19.44/5.14 | (225) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.14 |
% 19.44/5.14 | From (199)(199) and (225) follows:
% 19.44/5.14 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Using (205) and (220) yields:
% 19.44/5.14 | (221) $false
% 19.44/5.14 |
% 19.44/5.14 |-The branch is then unsatisfiable
% 19.44/5.14 |-Branch two:
% 19.44/5.14 | (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.14 | (229) ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14 |
% 19.44/5.14 | From (199)(199) and (228) follows:
% 19.44/5.14 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 +-Applying beta-rule and splitting (229), into two cases.
% 19.44/5.14 |-Branch one:
% 19.44/5.14 | (231) ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.14 |
% 19.44/5.14 | From (199)(199) and (231) follows:
% 19.44/5.14 | (232) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.14 |
% 19.44/5.14 | Using (47) and (232) yields:
% 19.44/5.14 | (221) $false
% 19.44/5.14 |
% 19.44/5.14 |-The branch is then unsatisfiable
% 19.44/5.14 |-Branch two:
% 19.44/5.14 | (234) m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.14 | (235) v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.14 |
% 19.44/5.14 | From (199)(199) and (234) follows:
% 19.44/5.14 | (47) m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (118) with all_0_14_14, all_0_16_16, all_0_16_16 and discharging atoms m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), yields:
% 19.44/5.14 | (237) m1_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (41) with all_40_1_42, all_0_16_16, all_40_0_41 and discharging atoms v1_funct_2(all_40_1_42, all_40_0_41, all_0_16_16), m1_relset_1(all_40_1_42, all_40_0_41, all_0_16_16), v1_funct_1(all_40_1_42), yields:
% 19.44/5.14 | (238) v1_partfun1(all_40_1_42, all_40_0_41, all_0_16_16) | v1_xboole_0(all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (49) with all_0_14_14, all_0_16_16, all_0_16_16 and discharging atoms v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), m1_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_14_14), yields:
% 19.44/5.14 | (239) v1_partfun1(all_0_14_14, all_0_16_16, all_0_16_16) | v1_xboole_0(all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 +-Applying beta-rule and splitting (206), into two cases.
% 19.44/5.14 |-Branch one:
% 19.44/5.14 | (240) v1_xboole_0(all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (93) with all_0_16_16 and discharging atoms v1_xboole_0(all_0_16_16), yields:
% 19.44/5.14 | (241) all_0_16_16 = k1_xboole_0
% 19.44/5.14 |
% 19.44/5.14 | From (241) and (27) follows:
% 19.44/5.14 | (242) u1_struct_0(all_0_17_17) = k1_xboole_0
% 19.44/5.14 |
% 19.44/5.14 | From (241) and (240) follows:
% 19.44/5.14 | (107) v1_xboole_0(k1_xboole_0)
% 19.44/5.14 |
% 19.44/5.14 | Instantiating formula (98) with k1_xboole_0, all_0_17_17 and discharging atoms u1_struct_0(all_0_17_17) = k1_xboole_0, l1_struct_0(all_0_17_17), v1_xboole_0(k1_xboole_0), ~ v3_struct_0(all_0_17_17), yields:
% 19.44/5.14 | (221) $false
% 19.44/5.14 |
% 19.44/5.14 |-The branch is then unsatisfiable
% 19.44/5.14 |-Branch two:
% 19.44/5.14 | (245) ~ v1_xboole_0(all_0_16_16)
% 19.44/5.14 | (246) m1_subset_1(all_0_14_14, all_0_15_15)
% 19.44/5.14 |
% 19.44/5.14 +-Applying beta-rule and splitting (239), into two cases.
% 19.44/5.14 |-Branch one:
% 19.44/5.14 | (240) v1_xboole_0(all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Using (240) and (245) yields:
% 19.44/5.14 | (221) $false
% 19.44/5.14 |
% 19.44/5.14 |-The branch is then unsatisfiable
% 19.44/5.14 |-Branch two:
% 19.44/5.14 | (245) ~ v1_xboole_0(all_0_16_16)
% 19.44/5.14 | (250) v1_partfun1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 +-Applying beta-rule and splitting (238), into two cases.
% 19.44/5.14 |-Branch one:
% 19.44/5.14 | (240) v1_xboole_0(all_0_16_16)
% 19.44/5.14 |
% 19.44/5.14 | Using (240) and (245) yields:
% 19.44/5.14 | (221) $false
% 19.44/5.14 |
% 19.44/5.14 |-The branch is then unsatisfiable
% 19.44/5.14 |-Branch two:
% 19.44/5.15 | (245) ~ v1_xboole_0(all_0_16_16)
% 19.44/5.15 | (254) v1_partfun1(all_40_1_42, all_40_0_41, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 +-Applying beta-rule and splitting (213), into two cases.
% 19.44/5.15 |-Branch one:
% 19.44/5.15 | (240) v1_xboole_0(all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 | Using (240) and (245) yields:
% 19.44/5.15 | (221) $false
% 19.44/5.15 |
% 19.44/5.15 |-The branch is then unsatisfiable
% 19.44/5.15 |-Branch two:
% 19.44/5.15 | (245) ~ v1_xboole_0(all_0_16_16)
% 19.44/5.15 | (258) ? [v0] : m2_fraenkel(v0, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating (258) with all_161_0_52 yields:
% 19.44/5.15 | (259) m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (50) with all_0_14_14, all_0_15_15 and discharging atoms m1_subset_1(all_0_14_14, all_0_15_15), v1_fraenkel(all_0_15_15), yields:
% 19.44/5.15 | (260) v1_relat_1(all_0_14_14)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (83) with all_0_15_15, all_0_14_14 and discharging atoms m1_subset_1(all_0_14_14, all_0_15_15), yields:
% 19.44/5.15 | (261) v1_xboole_0(all_0_15_15) | r2_hidden(all_0_14_14, all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (53) with all_161_0_52, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15), ~ v1_xboole_0(all_0_16_16), yields:
% 19.44/5.15 | (262) m2_relset_1(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (32) with all_161_0_52, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15), ~ v1_xboole_0(all_0_16_16), yields:
% 19.44/5.15 | (263) v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (106) with all_161_0_52, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15), ~ v1_xboole_0(all_0_16_16), yields:
% 19.44/5.15 | (264) v1_funct_1(all_161_0_52)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (90) with all_161_0_52, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15), ~ v1_xboole_0(all_0_16_16), yields:
% 19.44/5.15 | (265) m1_subset_1(all_161_0_52, all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (142) with all_161_0_52 yields:
% 19.44/5.15 | (266) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(all_161_0_52, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (157) with all_161_0_52 yields:
% 19.44/5.15 | (267) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 +-Applying beta-rule and splitting (267), into two cases.
% 19.44/5.15 |-Branch one:
% 19.44/5.15 | (219) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 | From (196) and (219) follows:
% 19.44/5.15 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 | Using (205) and (220) yields:
% 19.44/5.15 | (221) $false
% 19.44/5.15 |
% 19.44/5.15 |-The branch is then unsatisfiable
% 19.44/5.15 |-Branch two:
% 19.44/5.15 | (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.15 | (272) ~ m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | From (196) and (222) follows:
% 19.44/5.15 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 +-Applying beta-rule and splitting (266), into two cases.
% 19.44/5.15 |-Branch one:
% 19.44/5.15 | (225) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.15 |
% 19.44/5.15 | From (199)(199) and (225) follows:
% 19.44/5.15 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 | Using (205) and (220) yields:
% 19.44/5.15 | (221) $false
% 19.44/5.15 |
% 19.44/5.15 |-The branch is then unsatisfiable
% 19.44/5.15 |-Branch two:
% 19.44/5.15 | (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.15 | (278) ~ m2_fraenkel(all_161_0_52, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | From (199)(199) and (228) follows:
% 19.44/5.15 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 +-Applying beta-rule and splitting (272), into two cases.
% 19.44/5.15 |-Branch one:
% 19.44/5.15 | (280) ~ m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.15 |
% 19.44/5.15 | From (196) and (280) follows:
% 19.44/5.15 | (281) ~ m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 | Using (259) and (281) yields:
% 19.44/5.15 | (221) $false
% 19.44/5.15 |
% 19.44/5.15 |-The branch is then unsatisfiable
% 19.44/5.15 |-Branch two:
% 19.44/5.15 | (283) m2_fraenkel(all_161_0_52, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.15 | (284) v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (57) with all_0_13_13, all_0_14_14 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, v1_funct_1(all_0_14_14), v1_relat_1(all_0_14_14), yields:
% 19.44/5.15 | (285) v1_funct_1(all_0_13_13)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (83) with all_0_15_15, all_161_0_52 and discharging atoms m1_subset_1(all_161_0_52, all_0_15_15), yields:
% 19.44/5.15 | (286) v1_xboole_0(all_0_15_15) | r2_hidden(all_161_0_52, all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 +-Applying beta-rule and splitting (261), into two cases.
% 19.44/5.15 |-Branch one:
% 19.44/5.15 | (287) v1_xboole_0(all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (8) with all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), v1_xboole_0(all_0_15_15), yields:
% 19.44/5.15 | (221) $false
% 19.44/5.15 |
% 19.44/5.15 |-The branch is then unsatisfiable
% 19.44/5.15 |-Branch two:
% 19.44/5.15 | (289) ~ v1_xboole_0(all_0_15_15)
% 19.44/5.15 | (290) r2_hidden(all_0_14_14, all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 +-Applying beta-rule and splitting (286), into two cases.
% 19.44/5.15 |-Branch one:
% 19.44/5.15 | (287) v1_xboole_0(all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 | Using (287) and (289) yields:
% 19.44/5.15 | (221) $false
% 19.44/5.15 |
% 19.44/5.15 |-The branch is then unsatisfiable
% 19.44/5.15 |-Branch two:
% 19.44/5.15 | (289) ~ v1_xboole_0(all_0_15_15)
% 19.44/5.15 | (294) r2_hidden(all_161_0_52, all_0_15_15)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (137) with all_161_0_52 and discharging atoms v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17), v1_funct_1(all_161_0_52), r2_hidden(all_161_0_52, all_0_15_15), yields:
% 19.44/5.15 | (295) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(all_161_0_52, all_32_0_38, all_32_0_38) | ~ v1_funct_2(all_161_0_52, all_32_0_38, all_32_0_38) | v2_funct_1(all_161_0_52)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (172) with all_161_0_52 and discharging atoms v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17), v1_funct_1(all_161_0_52), r2_hidden(all_161_0_52, all_0_15_15), yields:
% 19.44/5.15 | (296) ~ m2_relset_1(all_161_0_52, all_47_0_45, all_47_0_45) | ~ v1_funct_2(all_161_0_52, all_47_0_45, all_47_0_45) | v4_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (160) with all_161_0_52 and discharging atoms m2_relset_1(all_161_0_52, all_0_16_16, all_0_16_16), v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17), v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16), v1_funct_1(all_161_0_52), yields:
% 19.44/5.15 | (297) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ r2_hidden(all_161_0_52, all_42_0_43) | v3_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (159) with all_161_0_52 and discharging atoms m2_relset_1(all_161_0_52, all_0_16_16, all_0_16_16), v1_group_6(all_161_0_52, all_0_17_17, all_0_17_17), v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16), v1_funct_1(all_161_0_52), yields:
% 19.44/5.15 | (298) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ r2_hidden(all_161_0_52, all_42_0_43) | v2_funct_1(all_161_0_52)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (141) with all_0_14_14 and discharging atoms v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), r2_hidden(all_0_14_14, all_0_15_15), yields:
% 19.44/5.15 | (299) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38) | ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (137) with all_0_14_14 and discharging atoms v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), r2_hidden(all_0_14_14, all_0_15_15), yields:
% 19.44/5.15 | (300) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38) | ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38) | v2_funct_1(all_0_14_14)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (172) with all_0_14_14 and discharging atoms v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_1(all_0_14_14), r2_hidden(all_0_14_14, all_0_15_15), yields:
% 19.44/5.15 | (301) ~ m2_relset_1(all_0_14_14, all_47_0_45, all_47_0_45) | ~ v1_funct_2(all_0_14_14, all_47_0_45, all_47_0_45) | v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (160) with all_0_14_14 and discharging atoms m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_14_14), yields:
% 19.44/5.15 | (302) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ r2_hidden(all_0_14_14, all_42_0_43) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (159) with all_0_14_14 and discharging atoms m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_14_14), yields:
% 19.44/5.15 | (303) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ r2_hidden(all_0_14_14, all_42_0_43) | v2_funct_1(all_0_14_14)
% 19.44/5.15 |
% 19.44/5.15 | Instantiating formula (133) with all_0_14_14 and discharging atoms m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_14_14), yields:
% 19.44/5.15 | (304) ~ r2_hidden(all_0_14_14, all_29_0_37) | v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 +-Applying beta-rule and splitting (301), into two cases.
% 19.44/5.15 |-Branch one:
% 19.44/5.15 | (305) ~ v1_funct_2(all_0_14_14, all_47_0_45, all_47_0_45)
% 19.44/5.15 |
% 19.44/5.15 | From (186)(186) and (305) follows:
% 19.44/5.15 | (306) ~ v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 | Using (218) and (306) yields:
% 19.44/5.15 | (221) $false
% 19.44/5.15 |
% 19.44/5.15 |-The branch is then unsatisfiable
% 19.44/5.15 |-Branch two:
% 19.44/5.15 | (308) v1_funct_2(all_0_14_14, all_47_0_45, all_47_0_45)
% 19.44/5.15 | (309) ~ m2_relset_1(all_0_14_14, all_47_0_45, all_47_0_45) | v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | From (186)(186) and (308) follows:
% 19.44/5.15 | (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 +-Applying beta-rule and splitting (296), into two cases.
% 19.44/5.15 |-Branch one:
% 19.44/5.15 | (311) ~ v1_funct_2(all_161_0_52, all_47_0_45, all_47_0_45)
% 19.44/5.15 |
% 19.44/5.15 | From (186)(186) and (311) follows:
% 19.44/5.15 | (312) ~ v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 | Using (263) and (312) yields:
% 19.44/5.15 | (221) $false
% 19.44/5.15 |
% 19.44/5.15 |-The branch is then unsatisfiable
% 19.44/5.15 |-Branch two:
% 19.44/5.15 | (314) v1_funct_2(all_161_0_52, all_47_0_45, all_47_0_45)
% 19.44/5.15 | (315) ~ m2_relset_1(all_161_0_52, all_47_0_45, all_47_0_45) | v4_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.15 |
% 19.44/5.15 | From (186)(186) and (314) follows:
% 19.44/5.15 | (263) v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.15 |
% 19.44/5.15 +-Applying beta-rule and splitting (300), into two cases.
% 19.44/5.15 |-Branch one:
% 19.44/5.15 | (317) ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (317) follows:
% 19.44/5.16 | (306) ~ v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (218) and (306) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (320) v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16 | (321) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38) | v2_funct_1(all_0_14_14)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (320) follows:
% 19.44/5.16 | (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (299), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (317) ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (317) follows:
% 19.44/5.16 | (306) ~ v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (218) and (306) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (320) v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16 | (327) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (320) follows:
% 19.44/5.16 | (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (304), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (329) ~ r2_hidden(all_0_14_14, all_29_0_37)
% 19.44/5.16 |
% 19.44/5.16 | From (198) and (329) follows:
% 19.44/5.16 | (330) ~ r2_hidden(all_0_14_14, all_0_15_15)
% 19.44/5.16 |
% 19.44/5.16 | Using (290) and (330) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (332) r2_hidden(all_0_14_14, all_29_0_37)
% 19.44/5.16 | (333) v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (297), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (219) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | From (196) and (219) follows:
% 19.44/5.16 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (205) and (220) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16 | (338) ~ r2_hidden(all_161_0_52, all_42_0_43) | v3_group_6(all_161_0_52, all_0_17_17, all_0_17_17)
% 19.44/5.16 |
% 19.44/5.16 | From (196) and (222) follows:
% 19.44/5.16 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (295), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (340) ~ v1_funct_2(all_161_0_52, all_32_0_38, all_32_0_38)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (340) follows:
% 19.44/5.16 | (312) ~ v1_funct_2(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (263) and (312) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (343) v1_funct_2(all_161_0_52, all_32_0_38, all_32_0_38)
% 19.44/5.16 | (344) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_relset_1(all_161_0_52, all_32_0_38, all_32_0_38) | v2_funct_1(all_161_0_52)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (298), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (219) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | From (196) and (219) follows:
% 19.44/5.16 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (205) and (220) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16 | (349) ~ r2_hidden(all_161_0_52, all_42_0_43) | v2_funct_1(all_161_0_52)
% 19.44/5.16 |
% 19.44/5.16 | From (196) and (222) follows:
% 19.44/5.16 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (327), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (351) ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (351) follows:
% 19.44/5.16 | (352) ~ m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (217) and (352) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (354) m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16 | (355) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (354) follows:
% 19.44/5.16 | (217) m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (302), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (219) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | From (196) and (219) follows:
% 19.44/5.16 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (205) and (220) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16 | (361) ~ r2_hidden(all_0_14_14, all_42_0_43) | v3_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.16 |
% 19.44/5.16 | From (196) and (222) follows:
% 19.44/5.16 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (303), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (219) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | From (196) and (219) follows:
% 19.44/5.16 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (205) and (220) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.16 | (367) ~ r2_hidden(all_0_14_14, all_42_0_43) | v2_funct_1(all_0_14_14)
% 19.44/5.16 |
% 19.44/5.16 | From (196) and (222) follows:
% 19.44/5.16 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (344), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (369) ~ m2_relset_1(all_161_0_52, all_32_0_38, all_32_0_38)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (369) follows:
% 19.44/5.16 | (370) ~ m2_relset_1(all_161_0_52, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (262) and (370) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (372) m2_relset_1(all_161_0_52, all_32_0_38, all_32_0_38)
% 19.44/5.16 | (373) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | v2_funct_1(all_161_0_52)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (373), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (225) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (225) follows:
% 19.44/5.16 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (205) and (220) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.16 | (378) v2_funct_1(all_161_0_52)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (228) follows:
% 19.44/5.16 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (321), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (351) ~ m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (351) follows:
% 19.44/5.16 | (352) ~ m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Using (217) and (352) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (354) m2_relset_1(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.16 | (384) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | v2_funct_1(all_0_14_14)
% 19.44/5.16 |
% 19.44/5.16 | From (199)(199) and (354) follows:
% 19.44/5.16 | (217) m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 | Instantiating formula (146) with all_0_13_13, all_0_14_14 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, yields:
% 19.44/5.16 | (386) ~ m2_fraenkel(all_0_14_14, all_37_0_40, all_37_0_40, all_0_15_15) | m2_relset_1(all_0_13_13, all_37_0_40, all_37_0_40)
% 19.44/5.16 |
% 19.44/5.16 | Instantiating formula (175) with all_0_13_13, all_0_14_14 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, yields:
% 19.44/5.16 | (387) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46) | v1_group_6(all_0_13_13, all_0_17_17, all_0_17_17)
% 19.44/5.16 |
% 19.44/5.16 | Instantiating formula (177) with all_0_13_13, all_0_14_14 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, yields:
% 19.44/5.16 | (388) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46) | v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (388), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (389) v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (386), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (390) m2_relset_1(all_0_13_13, all_37_0_40, all_37_0_40)
% 19.44/5.16 |
% 19.44/5.16 | From (195)(195) and (390) follows:
% 19.44/5.16 | (391) m2_relset_1(all_0_13_13, all_0_16_16, all_0_16_16)
% 19.44/5.16 |
% 19.44/5.16 +-Applying beta-rule and splitting (387), into two cases.
% 19.44/5.16 |-Branch one:
% 19.44/5.16 | (392) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46)
% 19.44/5.16 |
% 19.44/5.16 | From (202) and (392) follows:
% 19.44/5.16 | (232) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.16 |
% 19.44/5.16 | Using (47) and (232) yields:
% 19.44/5.16 | (221) $false
% 19.44/5.16 |
% 19.44/5.16 |-The branch is then unsatisfiable
% 19.44/5.16 |-Branch two:
% 19.44/5.16 | (395) m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46)
% 19.44/5.16 | (396) v1_group_6(all_0_13_13, all_0_17_17, all_0_17_17)
% 19.44/5.16 |
% 19.44/5.16 | Instantiating formula (56) with all_0_13_13, all_0_14_14, all_0_16_16, all_0_17_17, all_0_16_16, all_0_17_17 and discharging atoms k2_funct_1(all_0_14_14) = all_0_13_13, u1_struct_0(all_0_17_17) = all_0_16_16, v4_group_6(all_0_14_14, all_0_17_17, all_0_17_17), m2_relset_1(all_0_13_13, all_0_16_16, all_0_16_16), m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16), v1_group_6(all_0_13_13, all_0_17_17, all_0_17_17), v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17), v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16), v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16), v1_funct_1(all_0_13_13), v1_funct_1(all_0_14_14), l1_group_1(all_0_17_17), v4_group_1(all_0_17_17), v3_group_1(all_0_17_17), ~ v3_struct_0(all_0_17_17), yields:
% 19.44/5.16 | (397) v4_group_6(all_0_13_13, all_0_17_17, all_0_17_17)
% 19.44/5.16 |
% 19.44/5.16 | Instantiating formula (132) with all_0_13_13 and discharging atoms v4_group_6(all_0_13_13, all_0_17_17, all_0_17_17), m2_relset_1(all_0_13_13, all_0_16_16, all_0_16_16), v1_group_6(all_0_13_13, all_0_17_17, all_0_17_17), v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16), v1_funct_1(all_0_13_13), yields:
% 19.44/5.16 | (398) r2_hidden(all_0_13_13, all_29_0_37)
% 19.44/5.17 |
% 19.44/5.17 | From (198) and (398) follows:
% 19.44/5.17 | (399) r2_hidden(all_0_13_13, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | Instantiating formula (48) with all_0_15_15, all_0_13_13 and discharging atoms r2_hidden(all_0_13_13, all_0_15_15), yields:
% 19.44/5.17 | (400) m1_subset_1(all_0_13_13, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | Instantiating formula (91) with all_0_13_13, all_0_15_15, all_0_16_16, all_0_16_16 and discharging atoms m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16), m1_subset_1(all_0_13_13, all_0_15_15), ~ v1_xboole_0(all_0_16_16), ~ m2_fraenkel(all_0_13_13, all_0_16_16, all_0_16_16, all_0_15_15), yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (402) ~ m2_relset_1(all_0_13_13, all_37_0_40, all_37_0_40)
% 19.44/5.17 | (403) ~ m2_fraenkel(all_0_14_14, all_37_0_40, all_37_0_40, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | From (195)(195) and (403) follows:
% 19.44/5.17 | (232) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | Using (47) and (232) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (406) ~ v1_funct_2(all_0_13_13, all_0_16_16, all_0_16_16)
% 19.44/5.17 | (392) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_50_0_46)
% 19.44/5.17 |
% 19.44/5.17 | From (202) and (392) follows:
% 19.44/5.17 | (232) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | Using (47) and (232) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (306) ~ v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.17 | (411) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.17 |
% 19.44/5.17 +-Applying beta-rule and splitting (208), into two cases.
% 19.44/5.17 |-Branch one:
% 19.44/5.17 | (219) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 | From (196) and (219) follows:
% 19.44/5.17 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 | Using (205) and (220) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.17 | (223) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.17 |
% 19.44/5.17 | From (196) and (222) follows:
% 19.44/5.17 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 +-Applying beta-rule and splitting (211), into two cases.
% 19.44/5.17 |-Branch one:
% 19.44/5.17 | (320) v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.17 |
% 19.44/5.17 | From (199)(199) and (320) follows:
% 19.44/5.17 | (218) v1_funct_2(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 | Using (218) and (306) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (317) ~ v1_funct_2(all_0_14_14, all_32_0_38, all_32_0_38)
% 19.44/5.17 | (422) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 +-Applying beta-rule and splitting (210), into two cases.
% 19.44/5.17 |-Branch one:
% 19.44/5.17 | (225) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17 |
% 19.44/5.17 | From (199)(199) and (225) follows:
% 19.44/5.17 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 | Using (205) and (220) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17 | (229) ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15) | v1_group_6(all_0_14_14, all_0_17_17, all_0_17_17)
% 19.44/5.17 |
% 19.44/5.17 | From (199)(199) and (228) follows:
% 19.44/5.17 | (205) m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 +-Applying beta-rule and splitting (422), into two cases.
% 19.44/5.17 |-Branch one:
% 19.44/5.17 | (225) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17 |
% 19.44/5.17 | From (199)(199) and (225) follows:
% 19.44/5.17 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 | Using (205) and (220) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17 | (231) ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | From (199)(199) and (231) follows:
% 19.44/5.17 | (232) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | Using (47) and (232) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (352) ~ m2_relset_1(all_0_14_14, all_0_16_16, all_0_16_16)
% 19.44/5.17 | (411) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16) | ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.17 |
% 19.44/5.17 +-Applying beta-rule and splitting (411), into two cases.
% 19.44/5.17 |-Branch one:
% 19.44/5.17 | (219) ~ m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 | From (196) and (219) follows:
% 19.44/5.17 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 | Using (205) and (220) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (222) m1_fraenkel(all_42_0_43, all_0_16_16, all_0_16_16)
% 19.44/5.17 | (442) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_42_0_43)
% 19.44/5.17 |
% 19.44/5.17 | From (196) and (442) follows:
% 19.44/5.17 | (232) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | Using (47) and (232) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (445) ~ v1_funct_1(all_0_14_14)
% 19.44/5.17 | (422) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38) | ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 +-Applying beta-rule and splitting (422), into two cases.
% 19.44/5.17 |-Branch one:
% 19.44/5.17 | (225) ~ m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17 |
% 19.44/5.17 | From (199)(199) and (225) follows:
% 19.44/5.17 | (220) ~ m1_fraenkel(all_0_15_15, all_0_16_16, all_0_16_16)
% 19.44/5.17 |
% 19.44/5.17 | Using (205) and (220) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 |-Branch two:
% 19.44/5.17 | (228) m1_fraenkel(all_0_15_15, all_32_0_38, all_32_0_38)
% 19.44/5.17 | (231) ~ m2_fraenkel(all_0_14_14, all_32_0_38, all_32_0_38, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | From (199)(199) and (231) follows:
% 19.44/5.17 | (232) ~ m2_fraenkel(all_0_14_14, all_0_16_16, all_0_16_16, all_0_15_15)
% 19.44/5.17 |
% 19.44/5.17 | Using (47) and (232) yields:
% 19.44/5.17 | (221) $false
% 19.44/5.17 |
% 19.44/5.17 |-The branch is then unsatisfiable
% 19.44/5.17 % SZS output end Proof for theBenchmark
% 19.44/5.17
% 19.44/5.17 4549ms
%------------------------------------------------------------------------------