TSTP Solution File: SEU451+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n016.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 : Tue Jul 19 08:50:15 EDT 2022
% Result : Theorem 18.56s 5.04s
% Output : Proof 24.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.15 % Command : ePrincess-casc -timeout=%d %s
% 0.15/0.37 % Computer : n016.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sun Jun 19 15:27:24 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.58/0.63 ____ _
% 0.58/0.63 ___ / __ \_____(_)___ ________ __________
% 0.58/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.63
% 0.58/0.63 A Theorem Prover for First-Order Logic
% 0.58/0.64 (ePrincess v.1.0)
% 0.58/0.64
% 0.58/0.64 (c) Philipp Rümmer, 2009-2015
% 0.58/0.64 (c) Peter Backeman, 2014-2015
% 0.58/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.64 Bug reports to peter@backeman.se
% 0.58/0.64
% 0.58/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.64
% 0.58/0.64 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.75/1.02 Prover 0: Preprocessing ...
% 2.43/1.30 Prover 0: Warning: ignoring some quantifiers
% 2.68/1.33 Prover 0: Constructing countermodel ...
% 5.70/2.01 Prover 0: gave up
% 5.70/2.01 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 5.70/2.06 Prover 1: Preprocessing ...
% 6.40/2.17 Prover 1: Warning: ignoring some quantifiers
% 6.40/2.17 Prover 1: Constructing countermodel ...
% 6.79/2.27 Prover 1: gave up
% 6.79/2.27 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 6.79/2.30 Prover 2: Preprocessing ...
% 7.63/2.41 Prover 2: Warning: ignoring some quantifiers
% 7.65/2.42 Prover 2: Constructing countermodel ...
% 15.89/4.42 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 15.99/4.47 Prover 3: Preprocessing ...
% 16.36/4.53 Prover 3: Warning: ignoring some quantifiers
% 16.36/4.53 Prover 3: Constructing countermodel ...
% 17.07/4.73 Prover 3: gave up
% 17.07/4.73 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 17.29/4.75 Prover 4: Preprocessing ...
% 17.58/4.84 Prover 4: Warning: ignoring some quantifiers
% 17.58/4.84 Prover 4: Constructing countermodel ...
% 18.56/5.04 Prover 4: proved (314ms)
% 18.56/5.04 Prover 2: stopped
% 18.56/5.04
% 18.56/5.04 No countermodel exists, formula is valid
% 18.56/5.04 % SZS status Theorem for theBenchmark
% 18.56/5.04
% 18.56/5.04 Generating proof ... Warning: ignoring some quantifiers
% 23.62/6.24 found it (size 160)
% 23.62/6.24
% 23.62/6.24 % SZS output start Proof for theBenchmark
% 23.62/6.24 Assumed formulas after preprocessing and simplification:
% 23.62/6.24 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v9 = 0) & ~ (v6 = v4) & v3_relat_1(v7) = 0 & v3_relat_1(k1_xboole_0) = 0 & k9_relset_2(v0, v1, v1, v2, v5) = v6 & k9_relset_2(v0, v0, v1, v3, v2) = v4 & m2_relset_1(v2, v0, v1) = 0 & k6_partfun1(v1) = v5 & k6_partfun1(v0) = v3 & v1_xboole_0(v10) = 0 & v1_xboole_0(v8) = v9 & v1_xboole_0(k1_xboole_0) = 0 & v1_relat_1(v10) = 0 & v1_relat_1(v8) = 0 & v1_relat_1(v7) = 0 & v1_relat_1(k1_xboole_0) = 0 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v12 = v11 | ~ (k7_relset_1(v18, v17, v16, v15, v14, v13) = v12) | ~ (k7_relset_1(v18, v17, v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v12 = v11 | ~ (k9_relset_2(v17, v16, v15, v14, v13) = v12) | ~ (k9_relset_2(v17, v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k7_relset_1(v11, v12, v13, v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (m1_relset_1(v16, v13, v14) = v19 & m1_relset_1(v15, v11, v12) = v18 & m2_relset_1(v17, v11, v14) = v20 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = 0))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (k7_relset_1(v11, v12, v13, v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : (m1_relset_1(v16, v13, v14) = v19 & m1_relset_1(v15, v11, v12) = v18 & k5_relat_1(v15, v16) = v20 & ( ~ (v19 = 0) | ~ (v18 = 0) | v20 = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (k2_zfmisc_1(v11, v12) = v14) | ~ (k1_zfmisc_1(v14) = v15) | ~ (m1_subset_1(v13, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & m2_relset_1(v13, v11, v12) = v17)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k9_relset_2(v11, v12, v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (m2_relset_1(v16, v11, v13) = v23 & k2_zfmisc_1(v12, v13) = v20 & k2_zfmisc_1(v11, v12) = v17 & k1_zfmisc_1(v20) = v21 & k1_zfmisc_1(v17) = v18 & m1_subset_1(v15, v21) = v22 & m1_subset_1(v14, v18) = v19 & ( ~ (v22 = 0) | ~ (v19 = 0) | v23 = 0))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (k9_relset_2(v11, v12, v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k5_relat_1(v14, v15) = v23 & k2_zfmisc_1(v12, v13) = v20 & k2_zfmisc_1(v11, v12) = v17 & k1_zfmisc_1(v20) = v21 & k1_zfmisc_1(v17) = v18 & m1_subset_1(v15, v21) = v22 & m1_subset_1(v14, v18) = v19 & ( ~ (v22 = 0) | ~ (v19 = 0) | v23 = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (k1_zfmisc_1(v13) = v14) | ~ (m1_subset_1(v12, v14) = 0) | ~ (m1_subset_1(v11, v13) = v15) | ? [v16] : ( ~ (v16 = 0) & r2_hidden(v11, v12) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (m1_relset_1(v15, v14, v13) = v12) | ~ (m1_relset_1(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (m2_relset_1(v15, v14, v13) = v12) | ~ (m2_relset_1(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (v1_partfun1(v15, v14, v13) = v12) | ~ (v1_partfun1(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k7_relset_1(v11, v12, v12, v12, v13, v14) = v15) | ~ (k6_partfun1(v12) = v14) | ? [v16] : ? [v17] : ? [v18] : (k7_relset_1(v11, v11, v11, v12, v17, v13) = v18 & m2_relset_1(v13, v11, v12) = v16 & k6_partfun1(v11) = v17 & ( ~ (v16 = 0) | (v18 = v13 & v15 = v13)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k7_relset_1(v11, v11, v11, v12, v14, v13) = v15) | ~ (k6_partfun1(v11) = v14) | ? [v16] : ? [v17] : ? [v18] : (k7_relset_1(v11, v12, v12, v12, v13, v17) = v18 & m2_relset_1(v13, v11, v12) = v16 & k6_partfun1(v12) = v17 & ( ~ (v16 = 0) | (v18 = v13 & v15 = v13)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (k2_zfmisc_1(v11, v12) = v14) | ~ (k1_zfmisc_1(v14) = v15) | ~ (m1_subset_1(v13, v15) = 0) | v1_relat_1(v13) = 0) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (m1_relset_1(v13, v11, v12) = v14) | ? [v15] : ( ~ (v15 = 0) & m2_relset_1(v13, v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (m2_relset_1(v13, v11, v12) = v14) | ? [v15] : ( ~ (v15 = 0) & m1_relset_1(v13, v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (k1_zfmisc_1(v12) = v13) | ~ (m1_subset_1(v11, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & r1_tarski(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (m1_subset_1(v11, v13) = v14) | ~ (r2_hidden(v11, v12) = 0) | ? [v15] : ? [v16] : ( ~ (v16 = 0) & k1_zfmisc_1(v13) = v15 & m1_subset_1(v12, v15) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (r1_tarski(v14, v13) = v12) | ~ (r1_tarski(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (k5_relat_1(v14, v13) = v12) | ~ (k5_relat_1(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (k2_zfmisc_1(v14, v13) = v12) | ~ (k2_zfmisc_1(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (m1_subset_1(v14, v13) = v12) | ~ (m1_subset_1(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (r2_hidden(v14, v13) = v12) | ~ (r2_hidden(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) | ~ (m1_subset_1(v12, v14) = 0) | ~ (r2_hidden(v11, v12) = 0) | m1_subset_1(v11, v13) = 0) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (k1_zfmisc_1(v13) = v14) | ~ (m1_subset_1(v12, v14) = 0) | ~ (r2_hidden(v11, v12) = 0) | ? [v15] : ( ~ (v15 = 0) & v1_xboole_0(v13) = v15)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (r1_tarski(v11, v12) = v13) | ? [v14] : ? [v15] : ( ~ (v15 = 0) & k1_zfmisc_1(v12) = v14 & m1_subset_1(v11, v14) = v15)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (m1_subset_1(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & r2_hidden(v11, v12) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (r2_hidden(v11, v12) = v13) | ? [v14] : ? [v15] : (m1_subset_1(v11, v12) = v14 & v1_xboole_0(v12) = v15 & ( ~ (v14 = 0) | v15 = 0))) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (v3_relat_1(v13) = v12) | ~ (v3_relat_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (v4_relat_2(v13) = v12) | ~ (v4_relat_2(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (v1_funct_1(v13) = v12) | ~ (v1_funct_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (k6_relat_1(v13) = v12) | ~ (k6_relat_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (k6_partfun1(v13) = v12) | ~ (k6_partfun1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (k1_zfmisc_1(v13) = v12) | ~ (k1_zfmisc_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (v1_xboole_0(v13) = v12) | ~ (v1_xboole_0(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (v1_relat_1(v13) = v12) | ~ (v1_relat_1(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (v3_relat_2(v13) = v12) | ~ (v3_relat_2(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (v8_relat_2(v13) = v12) | ~ (v8_relat_2(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (v1_relat_2(v13) = v12) | ~ (v1_relat_2(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (m1_relset_1(v13, v11, v12) = 0) | m2_relset_1(v13, v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (m2_relset_1(v13, v11, v12) = 0) | m1_relset_1(v13, v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (m2_relset_1(v13, v11, v12) = 0) | ? [v14] : ? [v15] : (k7_relset_1(v11, v12, v12, v12, v13, v15) = v13 & k7_relset_1(v11, v11, v11, v12, v14, v13) = v13 & k6_partfun1(v12) = v15 & k6_partfun1(v11) = v14)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (m2_relset_1(v13, v11, v12) = 0) | ? [v14] : ? [v15] : (k2_zfmisc_1(v11, v12) = v14 & k1_zfmisc_1(v14) = v15 & m1_subset_1(v13, v15) = 0)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k5_relat_1(v12, v11) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (v1_xboole_0(v13) = v16 & v1_xboole_0(v11) = v14 & v1_relat_1(v13) = v17 & v1_relat_1(v12) = v15 & ( ~ (v15 = 0) | ~ (v14 = 0) | (v17 = 0 & v16 = 0)))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k5_relat_1(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : (v1_xboole_0(v13) = v16 & v1_xboole_0(v11) = v14 & v1_relat_1(v13) = v17 & v1_relat_1(v12) = v15 & ( ~ (v15 = 0) | ~ (v14 = 0) | (v17 = 0 & v16 = 0)))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k5_relat_1(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (v1_relat_1(v13) = v16 & v1_relat_1(v12) = v15 & v1_relat_1(v11) = v14 & ( ~ (v15 = 0) | ~ (v14 = 0) | v16 = 0))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_zfmisc_1(v11, v12) = v13) | v1_relat_1(v13) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k2_zfmisc_1(v11, v12) = v13) | ? [v14] : ? [v15] : ? [v16] : (v1_xboole_0(v13) = v16 & v1_xboole_0(v12) = v15 & v1_xboole_0(v11) = v14 & ( ~ (v16 = 0) | v15 = 0 | v14 = 0))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (k1_zfmisc_1(v12) = v13) | ~ (m1_subset_1(v11, v13) = 0) | r1_tarski(v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (v1_xboole_0(v13) = 0) | ~ (r2_hidden(v11, v12) = 0) | ? [v14] : ? [v15] : ( ~ (v15 = 0) & k1_zfmisc_1(v13) = v14 & m1_subset_1(v12, v14) = v15)) & ! [v11] : ! [v12] : (v12 = v11 | ~ (v1_xboole_0(v12) = 0) | ~ (v1_xboole_0(v11) = 0)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (r1_tarski(v11, v11) = v12)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (v1_xboole_0(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = 0) & k1_zfmisc_1(v11) = v13 & m1_subset_1(v14, v13) = 0 & v1_xboole_0(v14) = v15)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (v1_relat_1(v11) = v12) | ? [v13] : ( ~ (v13 = 0) & v1_xboole_0(v11) = v13)) & ! [v11] : ! [v12] : ( ~ (r1_tarski(v11, v12) = 0) | ? [v13] : (k1_zfmisc_1(v12) = v13 & m1_subset_1(v11, v13) = 0)) & ! [v11] : ! [v12] : ( ~ (k6_relat_1(v11) = v12) | v4_relat_2(v12) = 0) & ! [v11] : ! [v12] : ( ~ (k6_relat_1(v11) = v12) | v1_funct_1(v12) = 0) & ! [v11] : ! [v12] : ( ~ (k6_relat_1(v11) = v12) | k6_partfun1(v11) = v12) & ! [v11] : ! [v12] : ( ~ (k6_relat_1(v11) = v12) | v1_relat_1(v12) = 0) & ! [v11] : ! [v12] : ( ~ (k6_relat_1(v11) = v12) | v3_relat_2(v12) = 0) & ! [v11] : ! [v12] : ( ~ (k6_relat_1(v11) = v12) | v8_relat_2(v12) = 0) & ! [v11] : ! [v12] : ( ~ (k6_relat_1(v11) = v12) | v1_relat_2(v12) = 0) & ! [v11] : ! [v12] : ( ~ (k6_partfun1(v11) = v12) | k6_relat_1(v11) = v12) & ! [v11] : ! [v12] : ( ~ (k6_partfun1(v11) = v12) | m2_relset_1(v12, v11, v11) = 0) & ! [v11] : ! [v12] : ( ~ (k6_partfun1(v11) = v12) | v1_partfun1(v12, v11, v11) = 0) & ! [v11] : ! [v12] : ( ~ (k1_zfmisc_1(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ((v14 = 0 & ~ (v15 = 0) & m1_subset_1(v13, v12) = 0 & v1_xboole_0(v13) = v15) | (v13 = 0 & v1_xboole_0(v11) = 0))) & ! [v11] : ! [v12] : ( ~ (k1_zfmisc_1(v11) = v12) | ? [v13] : ( ~ (v13 = 0) & v1_xboole_0(v12) = v13)) & ! [v11] : ! [v12] : ( ~ (k1_zfmisc_1(v11) = v12) | ? [v13] : (m1_subset_1(v13, v12) = 0 & v1_xboole_0(v13) = 0)) & ! [v11] : ! [v12] : ( ~ (m1_subset_1(v11, v12) = 0) | ? [v13] : ? [v14] : (v1_xboole_0(v12) = v13 & r2_hidden(v11, v12) = v14 & (v14 = 0 | v13 = 0))) & ! [v11] : ! [v12] : ( ~ (v1_relat_2(v11) = v12) | ? [v13] : ? [v14] : ? [v15] : (v1_relat_1(v11) = v13 & v3_relat_2(v11) = v14 & v8_relat_2(v11) = v15 & ( ~ (v15 = 0) | ~ (v14 = 0) | ~ (v13 = 0) | v12 = 0))) & ! [v11] : ! [v12] : ( ~ (r2_hidden(v12, v11) = 0) | ? [v13] : ( ~ (v13 = 0) & r2_hidden(v11, v12) = v13)) & ! [v11] : ! [v12] : ( ~ (r2_hidden(v11, v12) = 0) | m1_subset_1(v11, v12) = 0) & ! [v11] : ! [v12] : ( ~ (r2_hidden(v11, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & v1_xboole_0(v12) = v13)) & ! [v11] : ! [v12] : ( ~ (r2_hidden(v11, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & r2_hidden(v12, v11) = v13)) & ! [v11] : (v11 = k1_xboole_0 | ~ (v1_xboole_0(v11) = 0)) & ! [v11] : ( ~ (v1_xboole_0(v11) = 0) | v1_relat_1(v11) = 0) & ! [v11] : ( ~ (v1_relat_1(v11) = 0) | ? [v12] : ? [v13] : ? [v14] : (v3_relat_2(v11) = v12 & v8_relat_2(v11) = v13 & v1_relat_2(v11) = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))) & ! [v11] : ( ~ (v3_relat_2(v11) = 0) | ? [v12] : ? [v13] : ? [v14] : (v1_relat_1(v11) = v12 & v8_relat_2(v11) = v13 & v1_relat_2(v11) = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))) & ! [v11] : ( ~ (v8_relat_2(v11) = 0) | ? [v12] : ? [v13] : ? [v14] : (v1_relat_1(v11) = v12 & v3_relat_2(v11) = v13 & v1_relat_2(v11) = v14 & ( ~ (v13 = 0) | ~ (v12 = 0) | v14 = 0))) & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : (k9_relset_2(v11, v12, v13, v14, v15) = v22 & k5_relat_1(v14, v15) = v23 & k2_zfmisc_1(v12, v13) = v19 & k2_zfmisc_1(v11, v12) = v16 & k1_zfmisc_1(v19) = v20 & k1_zfmisc_1(v16) = v17 & m1_subset_1(v15, v20) = v21 & m1_subset_1(v14, v17) = v18 & ( ~ (v21 = 0) | ~ (v18 = 0) | v23 = v22)) & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : (m1_relset_1(v16, v13, v14) = v18 & m1_relset_1(v15, v11, v12) = v17 & k7_relset_1(v11, v12, v13, v14, v15, v16) = v19 & k5_relat_1(v15, v16) = v20 & ( ~ (v18 = 0) | ~ (v17 = 0) | v20 = v19)) & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (k7_relset_1(v11, v12, v12, v12, v13, v17) = v18 & k7_relset_1(v11, v11, v11, v12, v15, v13) = v16 & m2_relset_1(v13, v11, v12) = v14 & k6_partfun1(v12) = v17 & k6_partfun1(v11) = v15 & ( ~ (v14 = 0) | (v18 = v13 & v16 = v13))) & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : (k1_zfmisc_1(v13) = v15 & m1_subset_1(v12, v15) = v16 & m1_subset_1(v11, v13) = v17 & r2_hidden(v11, v12) = v14 & ( ~ (v16 = 0) | ~ (v14 = 0) | v17 = 0)) & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (r1_tarski(v11, v12) = v13 & k1_zfmisc_1(v12) = v14 & m1_subset_1(v11, v14) = v15 & ( ~ (v13 = 0) | v15 = 0)) & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : (v1_relat_1(v11) = v12 & v3_relat_2(v11) = v13 & v8_relat_2(v11) = v14 & v1_relat_2(v11) = v15 & ( ~ (v14 = 0) | ~ (v13 = 0) | ~ (v12 = 0) | v15 = 0)) & ? [v11] : ? [v12] : ? [v13] : ? [v14] : (v1_xboole_0(v12) = v14 & r2_hidden(v11, v12) = v13 & ( ~ (v14 = 0) | ~ (v13 = 0))) & ? [v11] : ? [v12] : ? [v13] : m1_relset_1(v13, v11, v12) = 0 & ? [v11] : ? [v12] : ? [v13] : m2_relset_1(v13, v11, v12) = 0 & ? [v11] : ? [v12] : ? [v13] : (v1_funct_1(v13) = 0 & m1_relset_1(v13, v11, v12) = 0 & v1_relat_1(v13) = 0) & ? [v11] : ? [v12] : m1_subset_1(v12, v11) = 0 & ? [v11] : ? [v12] : (v4_relat_2(v12) = 0 & m1_relset_1(v12, v11, v11) = 0 & v1_partfun1(v12, v11, v11) = 0 & v1_relat_1(v12) = 0 & v3_relat_2(v12) = 0 & v8_relat_2(v12) = 0 & v1_relat_2(v12) = 0) & ? [v11] : ? [v12] : (v4_relat_2(v12) = 0 & k6_relat_1(v11) = v12) & ? [v11] : ? [v12] : (v1_funct_1(v12) = 0 & k6_relat_1(v11) = v12) & ? [v11] : ? [v12] : (k6_partfun1(v11) = v12 & v1_partfun1(v12, v11, v11) = 0))
% 23.62/6.30 | 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 yields:
% 23.62/6.30 | (1) ~ (all_0_1_1 = 0) & ~ (all_0_4_4 = all_0_6_6) & v3_relat_1(all_0_3_3) = 0 & v3_relat_1(k1_xboole_0) = 0 & k9_relset_2(all_0_10_10, all_0_9_9, all_0_9_9, all_0_8_8, all_0_5_5) = all_0_4_4 & k9_relset_2(all_0_10_10, all_0_10_10, all_0_9_9, all_0_7_7, all_0_8_8) = all_0_6_6 & m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = 0 & k6_partfun1(all_0_9_9) = all_0_5_5 & k6_partfun1(all_0_10_10) = all_0_7_7 & v1_xboole_0(all_0_0_0) = 0 & v1_xboole_0(all_0_2_2) = all_0_1_1 & v1_xboole_0(k1_xboole_0) = 0 & v1_relat_1(all_0_0_0) = 0 & v1_relat_1(all_0_2_2) = 0 & v1_relat_1(all_0_3_3) = 0 & v1_relat_1(k1_xboole_0) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k7_relset_1(v7, v6, v5, v4, v3, v2) = v1) | ~ (k7_relset_1(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (k9_relset_2(v6, v5, v4, v3, v2) = v1) | ~ (k9_relset_2(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k7_relset_1(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (m1_relset_1(v5, v2, v3) = v8 & m1_relset_1(v4, v0, v1) = v7 & m2_relset_1(v6, v0, v3) = v9 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k7_relset_1(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (m1_relset_1(v5, v2, v3) = v8 & m1_relset_1(v4, v0, v1) = v7 & k5_relat_1(v4, v5) = v9 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (k2_zfmisc_1(v0, v1) = v3) | ~ (k1_zfmisc_1(v3) = v4) | ~ (m1_subset_1(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & m2_relset_1(v2, v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k9_relset_2(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (m2_relset_1(v5, v0, v2) = v12 & k2_zfmisc_1(v1, v2) = v9 & k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v9) = v10 & k1_zfmisc_1(v6) = v7 & m1_subset_1(v4, v10) = v11 & m1_subset_1(v3, v7) = v8 & ( ~ (v11 = 0) | ~ (v8 = 0) | v12 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k9_relset_2(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k5_relat_1(v3, v4) = v12 & k2_zfmisc_1(v1, v2) = v9 & k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v9) = v10 & k1_zfmisc_1(v6) = v7 & m1_subset_1(v4, v10) = v11 & m1_subset_1(v3, v7) = v8 & ( ~ (v11 = 0) | ~ (v8 = 0) | v12 = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (k1_zfmisc_1(v2) = v3) | ~ (m1_subset_1(v1, v3) = 0) | ~ (m1_subset_1(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & r2_hidden(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (m1_relset_1(v4, v3, v2) = v1) | ~ (m1_relset_1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (m2_relset_1(v4, v3, v2) = v1) | ~ (m2_relset_1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (v1_partfun1(v4, v3, v2) = v1) | ~ (v1_partfun1(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k7_relset_1(v0, v1, v1, v1, v2, v3) = v4) | ~ (k6_partfun1(v1) = v3) | ? [v5] : ? [v6] : ? [v7] : (k7_relset_1(v0, v0, v0, v1, v6, v2) = v7 & m2_relset_1(v2, v0, v1) = v5 & k6_partfun1(v0) = v6 & ( ~ (v5 = 0) | (v7 = v2 & v4 = v2)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k7_relset_1(v0, v0, v0, v1, v3, v2) = v4) | ~ (k6_partfun1(v0) = v3) | ? [v5] : ? [v6] : ? [v7] : (k7_relset_1(v0, v1, v1, v1, v2, v6) = v7 & m2_relset_1(v2, v0, v1) = v5 & k6_partfun1(v1) = v6 & ( ~ (v5 = 0) | (v7 = v2 & v4 = v2)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ (k1_zfmisc_1(v3) = v4) | ~ (m1_subset_1(v2, v4) = 0) | v1_relat_1(v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (m1_relset_1(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & m2_relset_1(v2, v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (m2_relset_1(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & m1_relset_1(v2, v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (k1_zfmisc_1(v1) = v2) | ~ (m1_subset_1(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & r1_tarski(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (m1_subset_1(v0, v2) = v3) | ~ (r2_hidden(v0, v1) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & k1_zfmisc_1(v2) = v4 & m1_subset_1(v1, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (r1_tarski(v3, v2) = v1) | ~ (r1_tarski(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_relat_1(v3, v2) = v1) | ~ (k5_relat_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m1_subset_1(v3, v2) = v1) | ~ (m1_subset_1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (r2_hidden(v3, v2) = v1) | ~ (r2_hidden(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ (m1_subset_1(v1, v3) = 0) | ~ (r2_hidden(v0, v1) = 0) | m1_subset_1(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ (m1_subset_1(v1, v3) = 0) | ~ (r2_hidden(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & v1_xboole_0(v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (r1_tarski(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & k1_zfmisc_1(v1) = v3 & m1_subset_1(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (m1_subset_1(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & r2_hidden(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (r2_hidden(v0, v1) = v2) | ? [v3] : ? [v4] : (m1_subset_1(v0, v1) = v3 & v1_xboole_0(v1) = v4 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v3_relat_1(v2) = v1) | ~ (v3_relat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v4_relat_2(v2) = v1) | ~ (v4_relat_2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_funct_1(v2) = v1) | ~ (v1_funct_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k6_relat_1(v2) = v1) | ~ (k6_relat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k6_partfun1(v2) = v1) | ~ (k6_partfun1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_xboole_0(v2) = v1) | ~ (v1_xboole_0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_relat_1(v2) = v1) | ~ (v1_relat_1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v3_relat_2(v2) = v1) | ~ (v3_relat_2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v8_relat_2(v2) = v1) | ~ (v8_relat_2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_relat_2(v2) = v1) | ~ (v1_relat_2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m1_relset_1(v2, v0, v1) = 0) | m2_relset_1(v2, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m2_relset_1(v2, v0, v1) = 0) | m1_relset_1(v2, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m2_relset_1(v2, v0, v1) = 0) | ? [v3] : ? [v4] : (k7_relset_1(v0, v1, v1, v1, v2, v4) = v2 & k7_relset_1(v0, v0, v0, v1, v3, v2) = v2 & k6_partfun1(v1) = v4 & k6_partfun1(v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (m2_relset_1(v2, v0, v1) = 0) | ? [v3] : ? [v4] : (k2_zfmisc_1(v0, v1) = v3 & k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (v1_xboole_0(v2) = v5 & v1_xboole_0(v0) = v3 & v1_relat_1(v2) = v6 & v1_relat_1(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (v1_xboole_0(v2) = v5 & v1_xboole_0(v0) = v3 & v1_relat_1(v2) = v6 & v1_relat_1(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (v1_relat_1(v2) = v5 & v1_relat_1(v1) = v4 & v1_relat_1(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | v1_relat_1(v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (v1_xboole_0(v2) = v5 & v1_xboole_0(v1) = v4 & v1_xboole_0(v0) = v3 & ( ~ (v5 = 0) | v4 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ (m1_subset_1(v0, v2) = 0) | r1_tarski(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (v1_xboole_0(v2) = 0) | ~ (r2_hidden(v0, v1) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v3) = v4)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (v1_xboole_0(v1) = 0) | ~ (v1_xboole_0(v0) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (r1_tarski(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (v1_xboole_0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & k1_zfmisc_1(v0) = v2 & m1_subset_1(v3, v2) = 0 & v1_xboole_0(v3) = v4)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (v1_relat_1(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & v1_xboole_0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (r1_tarski(v0, v1) = 0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v4_relat_2(v1) = 0) & ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v1_funct_1(v1) = 0) & ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | k6_partfun1(v0) = v1) & ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v1_relat_1(v1) = 0) & ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v3_relat_2(v1) = 0) & ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v8_relat_2(v1) = 0) & ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v1_relat_2(v1) = 0) & ! [v0] : ! [v1] : ( ~ (k6_partfun1(v0) = v1) | k6_relat_1(v0) = v1) & ! [v0] : ! [v1] : ( ~ (k6_partfun1(v0) = v1) | m2_relset_1(v1, v0, v0) = 0) & ! [v0] : ! [v1] : ( ~ (k6_partfun1(v0) = v1) | v1_partfun1(v1, v0, v0) = 0) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & m1_subset_1(v2, v1) = 0 & v1_xboole_0(v2) = v4) | (v2 = 0 & v1_xboole_0(v0) = 0))) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & v1_xboole_0(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (m1_subset_1(v2, v1) = 0 & v1_xboole_0(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (m1_subset_1(v0, v1) = 0) | ? [v2] : ? [v3] : (v1_xboole_0(v1) = v2 & r2_hidden(v0, v1) = v3 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (v1_relat_2(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (v1_relat_1(v0) = v2 & v3_relat_2(v0) = v3 & v8_relat_2(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0))) & ! [v0] : ! [v1] : ( ~ (r2_hidden(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & r2_hidden(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (r2_hidden(v0, v1) = 0) | m1_subset_1(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (r2_hidden(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & v1_xboole_0(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (r2_hidden(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & r2_hidden(v1, v0) = v2)) & ! [v0] : (v0 = k1_xboole_0 | ~ (v1_xboole_0(v0) = 0)) & ! [v0] : ( ~ (v1_xboole_0(v0) = 0) | v1_relat_1(v0) = 0) & ! [v0] : ( ~ (v1_relat_1(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (v3_relat_2(v0) = v1 & v8_relat_2(v0) = v2 & v1_relat_2(v0) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0))) & ! [v0] : ( ~ (v3_relat_2(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (v1_relat_1(v0) = v1 & v8_relat_2(v0) = v2 & v1_relat_2(v0) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0))) & ! [v0] : ( ~ (v8_relat_2(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (v1_relat_1(v0) = v1 & v3_relat_2(v0) = v2 & v1_relat_2(v0) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k9_relset_2(v0, v1, v2, v3, v4) = v11 & k5_relat_1(v3, v4) = v12 & k2_zfmisc_1(v1, v2) = v8 & k2_zfmisc_1(v0, v1) = v5 & k1_zfmisc_1(v8) = v9 & k1_zfmisc_1(v5) = v6 & m1_subset_1(v4, v9) = v10 & m1_subset_1(v3, v6) = v7 & ( ~ (v10 = 0) | ~ (v7 = 0) | v12 = v11)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (m1_relset_1(v5, v2, v3) = v7 & m1_relset_1(v4, v0, v1) = v6 & k7_relset_1(v0, v1, v2, v3, v4, v5) = v8 & k5_relat_1(v4, v5) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = v8)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (k7_relset_1(v0, v1, v1, v1, v2, v6) = v7 & k7_relset_1(v0, v0, v0, v1, v4, v2) = v5 & m2_relset_1(v2, v0, v1) = v3 & k6_partfun1(v1) = v6 & k6_partfun1(v0) = v4 & ( ~ (v3 = 0) | (v7 = v2 & v5 = v2))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (k1_zfmisc_1(v2) = v4 & m1_subset_1(v1, v4) = v5 & m1_subset_1(v0, v2) = v6 & r2_hidden(v0, v1) = v3 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (r1_tarski(v0, v1) = v2 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v0, v3) = v4 & ( ~ (v2 = 0) | v4 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (v1_relat_1(v0) = v1 & v3_relat_2(v0) = v2 & v8_relat_2(v0) = v3 & v1_relat_2(v0) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | v4 = 0)) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : (v1_xboole_0(v1) = v3 & r2_hidden(v0, v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0))) & ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) = 0 & ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) = 0 & ? [v0] : ? [v1] : ? [v2] : (v1_funct_1(v2) = 0 & m1_relset_1(v2, v0, v1) = 0 & v1_relat_1(v2) = 0) & ? [v0] : ? [v1] : m1_subset_1(v1, v0) = 0 & ? [v0] : ? [v1] : (v4_relat_2(v1) = 0 & m1_relset_1(v1, v0, v0) = 0 & v1_partfun1(v1, v0, v0) = 0 & v1_relat_1(v1) = 0 & v3_relat_2(v1) = 0 & v8_relat_2(v1) = 0 & v1_relat_2(v1) = 0) & ? [v0] : ? [v1] : (v4_relat_2(v1) = 0 & k6_relat_1(v0) = v1) & ? [v0] : ? [v1] : (v1_funct_1(v1) = 0 & k6_relat_1(v0) = v1) & ? [v0] : ? [v1] : (k6_partfun1(v0) = v1 & v1_partfun1(v1, v0, v0) = 0)
% 23.62/6.32 |
% 23.62/6.32 | Applying alpha-rule on (1) yields:
% 23.62/6.32 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ (m1_subset_1(v1, v3) = 0) | ~ (r2_hidden(v0, v1) = 0) | m1_subset_1(v0, v2) = 0)
% 23.62/6.32 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k2_zfmisc_1(v0, v1) = v3) | ~ (k1_zfmisc_1(v3) = v4) | ~ (m1_subset_1(v2, v4) = 0) | v1_relat_1(v2) = 0)
% 24.12/6.32 | (4) ! [v0] : ! [v1] : (v1 = 0 | ~ (v1_relat_1(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & v1_xboole_0(v0) = v2))
% 24.12/6.32 | (5) v1_xboole_0(all_0_2_2) = all_0_1_1
% 24.12/6.32 | (6) ! [v0] : ! [v1] : (v1 = v0 | ~ (v1_xboole_0(v1) = 0) | ~ (v1_xboole_0(v0) = 0))
% 24.12/6.32 | (7) ! [v0] : (v0 = k1_xboole_0 | ~ (v1_xboole_0(v0) = 0))
% 24.12/6.32 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v3_relat_2(v2) = v1) | ~ (v3_relat_2(v2) = v0))
% 24.12/6.32 | (9) ! [v0] : ! [v1] : ( ~ (k6_partfun1(v0) = v1) | k6_relat_1(v0) = v1)
% 24.12/6.32 | (10) ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | k6_partfun1(v0) = v1)
% 24.12/6.32 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_relat_1(v2) = v1) | ~ (v1_relat_1(v2) = v0))
% 24.12/6.32 | (12) v3_relat_1(k1_xboole_0) = 0
% 24.12/6.32 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (k1_zfmisc_1(v2) = v3) | ~ (m1_subset_1(v1, v3) = 0) | ~ (r2_hidden(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & v1_xboole_0(v2) = v4))
% 24.12/6.32 | (14) ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v1_relat_1(v1) = 0)
% 24.12/6.32 | (15) ! [v0] : ( ~ (v1_relat_1(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (v3_relat_2(v0) = v1 & v8_relat_2(v0) = v2 & v1_relat_2(v0) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0)))
% 24.12/6.33 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v8_relat_2(v2) = v1) | ~ (v8_relat_2(v2) = v0))
% 24.12/6.33 | (17) ? [v0] : ? [v1] : (v4_relat_2(v1) = 0 & m1_relset_1(v1, v0, v0) = 0 & v1_partfun1(v1, v0, v0) = 0 & v1_relat_1(v1) = 0 & v3_relat_2(v1) = 0 & v8_relat_2(v1) = 0 & v1_relat_2(v1) = 0)
% 24.12/6.33 | (18) v1_relat_1(all_0_0_0) = 0
% 24.12/6.33 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k9_relset_2(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k5_relat_1(v3, v4) = v12 & k2_zfmisc_1(v1, v2) = v9 & k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v9) = v10 & k1_zfmisc_1(v6) = v7 & m1_subset_1(v4, v10) = v11 & m1_subset_1(v3, v7) = v8 & ( ~ (v11 = 0) | ~ (v8 = 0) | v12 = v5)))
% 24.12/6.33 | (20) ! [v0] : ! [v1] : (v1 = 0 | ~ (v1_xboole_0(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & k1_zfmisc_1(v0) = v2 & m1_subset_1(v3, v2) = 0 & v1_xboole_0(v3) = v4))
% 24.12/6.33 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (m2_relset_1(v2, v0, v1) = 0) | ? [v3] : ? [v4] : (k2_zfmisc_1(v0, v1) = v3 & k1_zfmisc_1(v3) = v4 & m1_subset_1(v2, v4) = 0))
% 24.12/6.33 | (22) ? [v0] : ? [v1] : ? [v2] : m1_relset_1(v2, v0, v1) = 0
% 24.12/6.33 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (v1_relat_1(v2) = v5 & v1_relat_1(v1) = v4 & v1_relat_1(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = 0)))
% 24.12/6.33 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (v1_partfun1(v4, v3, v2) = v1) | ~ (v1_partfun1(v4, v3, v2) = v0))
% 24.12/6.33 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_xboole_0(v2) = v1) | ~ (v1_xboole_0(v2) = v0))
% 24.12/6.33 | (26) ? [v0] : ? [v1] : (k6_partfun1(v0) = v1 & v1_partfun1(v1, v0, v0) = 0)
% 24.12/6.33 | (27) ? [v0] : ? [v1] : (v1_funct_1(v1) = 0 & k6_relat_1(v0) = v1)
% 24.12/6.33 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k7_relset_1(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (m1_relset_1(v5, v2, v3) = v8 & m1_relset_1(v4, v0, v1) = v7 & m2_relset_1(v6, v0, v3) = v9 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = 0)))
% 24.12/6.33 | (29) k6_partfun1(all_0_9_9) = all_0_5_5
% 24.12/6.33 | (30) ! [v0] : ( ~ (v8_relat_2(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (v1_relat_1(v0) = v1 & v3_relat_2(v0) = v2 & v1_relat_2(v0) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0)))
% 24.12/6.33 | (31) ! [v0] : ! [v1] : ! [v2] : ( ~ (m2_relset_1(v2, v0, v1) = 0) | ? [v3] : ? [v4] : (k7_relset_1(v0, v1, v1, v1, v2, v4) = v2 & k7_relset_1(v0, v0, v0, v1, v3, v2) = v2 & k6_partfun1(v1) = v4 & k6_partfun1(v0) = v3))
% 24.12/6.33 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (v1_xboole_0(v2) = v5 & v1_xboole_0(v1) = v4 & v1_xboole_0(v0) = v3 & ( ~ (v5 = 0) | v4 = 0 | v3 = 0)))
% 24.12/6.33 | (33) ~ (all_0_1_1 = 0)
% 24.12/6.33 | (34) ! [v0] : ! [v1] : ( ~ (r2_hidden(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & v1_xboole_0(v1) = v2))
% 24.12/6.33 | (35) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (m1_relset_1(v5, v2, v3) = v7 & m1_relset_1(v4, v0, v1) = v6 & k7_relset_1(v0, v1, v2, v3, v4, v5) = v8 & k5_relat_1(v4, v5) = v9 & ( ~ (v7 = 0) | ~ (v6 = 0) | v9 = v8))
% 24.12/6.33 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k2_zfmisc_1(v3, v2) = v1) | ~ (k2_zfmisc_1(v3, v2) = v0))
% 24.12/6.33 | (37) ! [v0] : ! [v1] : ! [v2] : ( ~ (k1_zfmisc_1(v1) = v2) | ~ (m1_subset_1(v0, v2) = 0) | r1_tarski(v0, v1) = 0)
% 24.12/6.33 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (m1_subset_1(v0, v2) = v3) | ~ (r2_hidden(v0, v1) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & k1_zfmisc_1(v2) = v4 & m1_subset_1(v1, v4) = v5))
% 24.12/6.33 | (39) ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v1_funct_1(v1) = 0)
% 24.12/6.33 | (40) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (r2_hidden(v0, v1) = v2) | ? [v3] : ? [v4] : (m1_subset_1(v0, v1) = v3 & v1_xboole_0(v1) = v4 & ( ~ (v3 = 0) | v4 = 0)))
% 24.12/6.33 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (m2_relset_1(v2, v0, v1) = 0) | m1_relset_1(v2, v0, v1) = 0)
% 24.12/6.33 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (m1_relset_1(v2, v0, v1) = 0) | m2_relset_1(v2, v0, v1) = 0)
% 24.12/6.33 | (43) ! [v0] : ! [v1] : ( ~ (r1_tarski(v0, v1) = 0) | ? [v2] : (k1_zfmisc_1(v1) = v2 & m1_subset_1(v0, v2) = 0))
% 24.12/6.33 | (44) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (m1_subset_1(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & r2_hidden(v0, v1) = v3))
% 24.12/6.33 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ (k2_zfmisc_1(v0, v1) = v2) | v1_relat_1(v2) = 0)
% 24.12/6.33 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (k1_zfmisc_1(v2) = v3) | ~ (m1_subset_1(v1, v3) = 0) | ~ (m1_subset_1(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & r2_hidden(v0, v1) = v5))
% 24.12/6.34 | (47) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & v1_xboole_0(v1) = v2))
% 24.12/6.34 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (k7_relset_1(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : (m1_relset_1(v5, v2, v3) = v8 & m1_relset_1(v4, v0, v1) = v7 & k5_relat_1(v4, v5) = v9 & ( ~ (v8 = 0) | ~ (v7 = 0) | v9 = v6)))
% 24.12/6.34 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (r2_hidden(v3, v2) = v1) | ~ (r2_hidden(v3, v2) = v0))
% 24.12/6.34 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (k1_zfmisc_1(v1) = v2) | ~ (m1_subset_1(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & r1_tarski(v0, v1) = v4))
% 24.12/6.34 | (51) k9_relset_2(all_0_10_10, all_0_10_10, all_0_9_9, all_0_7_7, all_0_8_8) = all_0_6_6
% 24.12/6.34 | (52) ? [v0] : ? [v1] : (v4_relat_2(v1) = 0 & k6_relat_1(v0) = v1)
% 24.12/6.34 | (53) ! [v0] : ! [v1] : ( ~ (v1_relat_2(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (v1_relat_1(v0) = v2 & v3_relat_2(v0) = v3 & v8_relat_2(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0)))
% 24.12/6.34 | (54) v3_relat_1(all_0_3_3) = 0
% 24.12/6.34 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k6_partfun1(v2) = v1) | ~ (k6_partfun1(v2) = v0))
% 24.12/6.34 | (56) ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v8_relat_2(v1) = 0)
% 24.12/6.34 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_funct_1(v2) = v1) | ~ (v1_funct_1(v2) = v0))
% 24.12/6.34 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v4_relat_2(v2) = v1) | ~ (v4_relat_2(v2) = v0))
% 24.12/6.34 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (m2_relset_1(v4, v3, v2) = v1) | ~ (m2_relset_1(v4, v3, v2) = v0))
% 24.12/6.34 | (60) ~ (all_0_4_4 = all_0_6_6)
% 24.12/6.34 | (61) ? [v0] : ? [v1] : ? [v2] : (v1_funct_1(v2) = 0 & m1_relset_1(v2, v0, v1) = 0 & v1_relat_1(v2) = 0)
% 24.12/6.34 | (62) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (k1_zfmisc_1(v2) = v4 & m1_subset_1(v1, v4) = v5 & m1_subset_1(v0, v2) = v6 & r2_hidden(v0, v1) = v3 & ( ~ (v5 = 0) | ~ (v3 = 0) | v6 = 0))
% 24.12/6.34 | (63) m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = 0
% 24.12/6.34 | (64) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (v1_relat_1(v0) = v1 & v3_relat_2(v0) = v2 & v8_relat_2(v0) = v3 & v1_relat_2(v0) = v4 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | v4 = 0))
% 24.12/6.34 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k7_relset_1(v0, v0, v0, v1, v3, v2) = v4) | ~ (k6_partfun1(v0) = v3) | ? [v5] : ? [v6] : ? [v7] : (k7_relset_1(v0, v1, v1, v1, v2, v6) = v7 & m2_relset_1(v2, v0, v1) = v5 & k6_partfun1(v1) = v6 & ( ~ (v5 = 0) | (v7 = v2 & v4 = v2))))
% 24.12/6.34 | (66) v1_relat_1(all_0_3_3) = 0
% 24.12/6.34 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (r1_tarski(v3, v2) = v1) | ~ (r1_tarski(v3, v2) = v0))
% 24.12/6.34 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (m2_relset_1(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & m1_relset_1(v2, v0, v1) = v4))
% 24.12/6.34 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (m1_relset_1(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & m2_relset_1(v2, v0, v1) = v4))
% 24.12/6.34 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v1, v0) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (v1_xboole_0(v2) = v5 & v1_xboole_0(v0) = v3 & v1_relat_1(v2) = v6 & v1_relat_1(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 24.12/6.34 | (71) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (k7_relset_1(v0, v1, v1, v1, v2, v6) = v7 & k7_relset_1(v0, v0, v0, v1, v4, v2) = v5 & m2_relset_1(v2, v0, v1) = v3 & k6_partfun1(v1) = v6 & k6_partfun1(v0) = v4 & ( ~ (v3 = 0) | (v7 = v2 & v5 = v2)))
% 24.12/6.34 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k1_zfmisc_1(v2) = v1) | ~ (k1_zfmisc_1(v2) = v0))
% 24.12/6.34 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (k6_relat_1(v2) = v1) | ~ (k6_relat_1(v2) = v0))
% 24.12/6.34 | (74) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (k9_relset_2(v0, v1, v2, v3, v4) = v11 & k5_relat_1(v3, v4) = v12 & k2_zfmisc_1(v1, v2) = v8 & k2_zfmisc_1(v0, v1) = v5 & k1_zfmisc_1(v8) = v9 & k1_zfmisc_1(v5) = v6 & m1_subset_1(v4, v9) = v10 & m1_subset_1(v3, v6) = v7 & ( ~ (v10 = 0) | ~ (v7 = 0) | v12 = v11))
% 24.12/6.34 | (75) ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v4_relat_2(v1) = 0)
% 24.12/6.34 | (76) ! [v0] : ! [v1] : (v1 = 0 | ~ (r1_tarski(v0, v0) = v1))
% 24.12/6.34 | (77) ! [v0] : ! [v1] : ( ~ (m1_subset_1(v0, v1) = 0) | ? [v2] : ? [v3] : (v1_xboole_0(v1) = v2 & r2_hidden(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 24.12/6.35 | (78) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (v1_xboole_0(v1) = v3 & r2_hidden(v0, v1) = v2 & ( ~ (v3 = 0) | ~ (v2 = 0)))
% 24.12/6.35 | (79) ! [v0] : ! [v1] : ( ~ (r2_hidden(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & r2_hidden(v0, v1) = v2))
% 24.12/6.35 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (v1_xboole_0(v2) = 0) | ~ (r2_hidden(v0, v1) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & k1_zfmisc_1(v2) = v3 & m1_subset_1(v1, v3) = v4))
% 24.12/6.35 | (81) ! [v0] : ! [v1] : ( ~ (k6_partfun1(v0) = v1) | v1_partfun1(v1, v0, v0) = 0)
% 24.12/6.35 | (82) v1_relat_1(k1_xboole_0) = 0
% 24.12/6.35 | (83) v1_xboole_0(k1_xboole_0) = 0
% 24.12/6.35 | (84) ? [v0] : ? [v1] : m1_subset_1(v1, v0) = 0
% 24.12/6.35 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (k9_relset_2(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (m2_relset_1(v5, v0, v2) = v12 & k2_zfmisc_1(v1, v2) = v9 & k2_zfmisc_1(v0, v1) = v6 & k1_zfmisc_1(v9) = v10 & k1_zfmisc_1(v6) = v7 & m1_subset_1(v4, v10) = v11 & m1_subset_1(v3, v7) = v8 & ( ~ (v11 = 0) | ~ (v8 = 0) | v12 = 0)))
% 24.12/6.35 | (86) v1_relat_1(all_0_2_2) = 0
% 24.12/6.35 | (87) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : (m1_subset_1(v2, v1) = 0 & v1_xboole_0(v2) = 0))
% 24.12/6.35 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (m1_relset_1(v4, v3, v2) = v1) | ~ (m1_relset_1(v4, v3, v2) = v0))
% 24.12/6.35 | (89) ? [v0] : ? [v1] : ? [v2] : m2_relset_1(v2, v0, v1) = 0
% 24.12/6.35 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (k7_relset_1(v0, v1, v1, v1, v2, v3) = v4) | ~ (k6_partfun1(v1) = v3) | ? [v5] : ? [v6] : ? [v7] : (k7_relset_1(v0, v0, v0, v1, v6, v2) = v7 & m2_relset_1(v2, v0, v1) = v5 & k6_partfun1(v0) = v6 & ( ~ (v5 = 0) | (v7 = v2 & v4 = v2))))
% 24.12/6.35 | (91) ! [v0] : ! [v1] : ( ~ (k1_zfmisc_1(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & m1_subset_1(v2, v1) = 0 & v1_xboole_0(v2) = v4) | (v2 = 0 & v1_xboole_0(v0) = 0)))
% 24.12/6.35 | (92) ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v3_relat_2(v1) = 0)
% 24.12/6.35 | (93) k9_relset_2(all_0_10_10, all_0_9_9, all_0_9_9, all_0_8_8, all_0_5_5) = all_0_4_4
% 24.12/6.35 | (94) ! [v0] : ! [v1] : ( ~ (r2_hidden(v0, v1) = 0) | m1_subset_1(v0, v1) = 0)
% 24.12/6.35 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (k2_zfmisc_1(v0, v1) = v3) | ~ (k1_zfmisc_1(v3) = v4) | ~ (m1_subset_1(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & m2_relset_1(v2, v0, v1) = v6))
% 24.12/6.35 | (96) ! [v0] : ( ~ (v3_relat_2(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : (v1_relat_1(v0) = v1 & v8_relat_2(v0) = v2 & v1_relat_2(v0) = v3 & ( ~ (v2 = 0) | ~ (v1 = 0) | v3 = 0)))
% 24.12/6.35 | (97) ! [v0] : ! [v1] : ( ~ (k6_relat_1(v0) = v1) | v1_relat_2(v1) = 0)
% 24.12/6.35 | (98) ! [v0] : ! [v1] : ! [v2] : ( ~ (k5_relat_1(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (v1_xboole_0(v2) = v5 & v1_xboole_0(v0) = v3 & v1_relat_1(v2) = v6 & v1_relat_1(v1) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0))))
% 24.12/6.35 | (99) ! [v0] : ( ~ (v1_xboole_0(v0) = 0) | v1_relat_1(v0) = 0)
% 24.12/6.35 | (100) ! [v0] : ! [v1] : ( ~ (r2_hidden(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & r2_hidden(v1, v0) = v2))
% 24.12/6.35 | (101) ! [v0] : ! [v1] : ( ~ (k6_partfun1(v0) = v1) | m2_relset_1(v1, v0, v0) = 0)
% 24.12/6.35 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (k7_relset_1(v7, v6, v5, v4, v3, v2) = v1) | ~ (k7_relset_1(v7, v6, v5, v4, v3, v2) = v0))
% 24.12/6.35 | (103) k6_partfun1(all_0_10_10) = all_0_7_7
% 24.12/6.35 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (k5_relat_1(v3, v2) = v1) | ~ (k5_relat_1(v3, v2) = v0))
% 24.12/6.35 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (k9_relset_2(v6, v5, v4, v3, v2) = v1) | ~ (k9_relset_2(v6, v5, v4, v3, v2) = v0))
% 24.12/6.35 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m1_subset_1(v3, v2) = v1) | ~ (m1_subset_1(v3, v2) = v0))
% 24.12/6.35 | (107) v1_xboole_0(all_0_0_0) = 0
% 24.12/6.35 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v3_relat_1(v2) = v1) | ~ (v3_relat_1(v2) = v0))
% 24.12/6.35 | (109) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (v1_relat_2(v2) = v1) | ~ (v1_relat_2(v2) = v0))
% 24.12/6.35 | (110) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (r1_tarski(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & k1_zfmisc_1(v1) = v3 & m1_subset_1(v0, v3) = v4))
% 24.12/6.35 | (111) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (r1_tarski(v0, v1) = v2 & k1_zfmisc_1(v1) = v3 & m1_subset_1(v0, v3) = v4 & ( ~ (v2 = 0) | v4 = 0))
% 24.12/6.36 |
% 24.12/6.36 | Instantiating formula (85) with all_0_4_4, all_0_5_5, all_0_8_8, all_0_9_9, all_0_9_9, all_0_10_10 and discharging atoms k9_relset_2(all_0_10_10, all_0_9_9, all_0_9_9, all_0_8_8, all_0_5_5) = all_0_4_4, yields:
% 24.12/6.36 | (112) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (m2_relset_1(all_0_4_4, all_0_10_10, all_0_9_9) = v6 & k2_zfmisc_1(all_0_9_9, all_0_9_9) = v3 & k2_zfmisc_1(all_0_10_10, all_0_9_9) = v0 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v1 & m1_subset_1(all_0_5_5, v4) = v5 & m1_subset_1(all_0_8_8, v1) = v2 & ( ~ (v5 = 0) | ~ (v2 = 0) | v6 = 0))
% 24.12/6.36 |
% 24.12/6.36 | Instantiating formula (19) with all_0_4_4, all_0_5_5, all_0_8_8, all_0_9_9, all_0_9_9, all_0_10_10 and discharging atoms k9_relset_2(all_0_10_10, all_0_9_9, all_0_9_9, all_0_8_8, all_0_5_5) = all_0_4_4, yields:
% 24.12/6.36 | (113) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (k5_relat_1(all_0_8_8, all_0_5_5) = v6 & k2_zfmisc_1(all_0_9_9, all_0_9_9) = v3 & k2_zfmisc_1(all_0_10_10, all_0_9_9) = v0 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v1 & m1_subset_1(all_0_5_5, v4) = v5 & m1_subset_1(all_0_8_8, v1) = v2 & ( ~ (v5 = 0) | ~ (v2 = 0) | v6 = all_0_4_4))
% 24.12/6.36 |
% 24.12/6.36 | Instantiating formula (85) with all_0_6_6, all_0_8_8, all_0_7_7, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms k9_relset_2(all_0_10_10, all_0_10_10, all_0_9_9, all_0_7_7, all_0_8_8) = all_0_6_6, yields:
% 24.12/6.36 | (114) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (m2_relset_1(all_0_6_6, all_0_10_10, all_0_9_9) = v6 & k2_zfmisc_1(all_0_10_10, all_0_9_9) = v3 & k2_zfmisc_1(all_0_10_10, all_0_10_10) = v0 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v1 & m1_subset_1(all_0_7_7, v1) = v2 & m1_subset_1(all_0_8_8, v4) = v5 & ( ~ (v5 = 0) | ~ (v2 = 0) | v6 = 0))
% 24.12/6.36 |
% 24.12/6.36 | Instantiating formula (19) with all_0_6_6, all_0_8_8, all_0_7_7, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms k9_relset_2(all_0_10_10, all_0_10_10, all_0_9_9, all_0_7_7, all_0_8_8) = all_0_6_6, yields:
% 24.12/6.36 | (115) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (k5_relat_1(all_0_7_7, all_0_8_8) = v6 & k2_zfmisc_1(all_0_10_10, all_0_9_9) = v3 & k2_zfmisc_1(all_0_10_10, all_0_10_10) = v0 & k1_zfmisc_1(v3) = v4 & k1_zfmisc_1(v0) = v1 & m1_subset_1(all_0_7_7, v1) = v2 & m1_subset_1(all_0_8_8, v4) = v5 & ( ~ (v5 = 0) | ~ (v2 = 0) | v6 = all_0_6_6))
% 24.12/6.36 |
% 24.12/6.36 | Instantiating formula (41) with all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = 0, yields:
% 24.12/6.36 | (116) m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = 0
% 24.12/6.36 |
% 24.12/6.36 | Instantiating formula (31) with all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = 0, yields:
% 24.12/6.36 | (117) ? [v0] : ? [v1] : (k7_relset_1(all_0_10_10, all_0_9_9, all_0_9_9, all_0_9_9, all_0_8_8, v1) = all_0_8_8 & k7_relset_1(all_0_10_10, all_0_10_10, all_0_10_10, all_0_9_9, v0, all_0_8_8) = all_0_8_8 & k6_partfun1(all_0_9_9) = v1 & k6_partfun1(all_0_10_10) = v0)
% 24.12/6.36 |
% 24.12/6.36 | Instantiating formula (21) with all_0_8_8, all_0_9_9, all_0_10_10 and discharging atoms m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = 0, yields:
% 24.12/6.36 | (118) ? [v0] : ? [v1] : (k2_zfmisc_1(all_0_10_10, all_0_9_9) = v0 & k1_zfmisc_1(v0) = v1 & m1_subset_1(all_0_8_8, v1) = 0)
% 24.12/6.36 |
% 24.12/6.36 | Instantiating formula (101) with all_0_5_5, all_0_9_9 and discharging atoms k6_partfun1(all_0_9_9) = all_0_5_5, yields:
% 24.12/6.36 | (119) m2_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = 0
% 24.12/6.36 |
% 24.12/6.36 | Instantiating formula (101) with all_0_7_7, all_0_10_10 and discharging atoms k6_partfun1(all_0_10_10) = all_0_7_7, yields:
% 24.12/6.36 | (120) m2_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = 0
% 24.12/6.36 |
% 24.12/6.36 | Instantiating (118) with all_80_0_131, all_80_1_132 yields:
% 24.12/6.36 | (121) k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_80_1_132 & k1_zfmisc_1(all_80_1_132) = all_80_0_131 & m1_subset_1(all_0_8_8, all_80_0_131) = 0
% 24.12/6.36 |
% 24.12/6.36 | Applying alpha-rule on (121) yields:
% 24.12/6.36 | (122) k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_80_1_132
% 24.12/6.36 | (123) k1_zfmisc_1(all_80_1_132) = all_80_0_131
% 24.12/6.36 | (124) m1_subset_1(all_0_8_8, all_80_0_131) = 0
% 24.12/6.36 |
% 24.12/6.36 | Instantiating (114) with all_95_0_149, all_95_1_150, all_95_2_151, all_95_3_152, all_95_4_153, all_95_5_154, all_95_6_155 yields:
% 24.12/6.36 | (125) m2_relset_1(all_0_6_6, all_0_10_10, all_0_9_9) = all_95_0_149 & k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_95_3_152 & k2_zfmisc_1(all_0_10_10, all_0_10_10) = all_95_6_155 & k1_zfmisc_1(all_95_3_152) = all_95_2_151 & k1_zfmisc_1(all_95_6_155) = all_95_5_154 & m1_subset_1(all_0_7_7, all_95_5_154) = all_95_4_153 & m1_subset_1(all_0_8_8, all_95_2_151) = all_95_1_150 & ( ~ (all_95_1_150 = 0) | ~ (all_95_4_153 = 0) | all_95_0_149 = 0)
% 24.12/6.36 |
% 24.12/6.36 | Applying alpha-rule on (125) yields:
% 24.12/6.36 | (126) k1_zfmisc_1(all_95_6_155) = all_95_5_154
% 24.12/6.36 | (127) m1_subset_1(all_0_7_7, all_95_5_154) = all_95_4_153
% 24.12/6.36 | (128) k2_zfmisc_1(all_0_10_10, all_0_10_10) = all_95_6_155
% 24.12/6.36 | (129) ~ (all_95_1_150 = 0) | ~ (all_95_4_153 = 0) | all_95_0_149 = 0
% 24.12/6.36 | (130) m2_relset_1(all_0_6_6, all_0_10_10, all_0_9_9) = all_95_0_149
% 24.12/6.36 | (131) m1_subset_1(all_0_8_8, all_95_2_151) = all_95_1_150
% 24.12/6.36 | (132) k1_zfmisc_1(all_95_3_152) = all_95_2_151
% 24.12/6.36 | (133) k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_95_3_152
% 24.12/6.36 |
% 24.12/6.36 | Instantiating (113) with all_97_0_156, all_97_1_157, all_97_2_158, all_97_3_159, all_97_4_160, all_97_5_161, all_97_6_162 yields:
% 24.12/6.36 | (134) k5_relat_1(all_0_8_8, all_0_5_5) = all_97_0_156 & k2_zfmisc_1(all_0_9_9, all_0_9_9) = all_97_3_159 & k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_97_6_162 & k1_zfmisc_1(all_97_3_159) = all_97_2_158 & k1_zfmisc_1(all_97_6_162) = all_97_5_161 & m1_subset_1(all_0_5_5, all_97_2_158) = all_97_1_157 & m1_subset_1(all_0_8_8, all_97_5_161) = all_97_4_160 & ( ~ (all_97_1_157 = 0) | ~ (all_97_4_160 = 0) | all_97_0_156 = all_0_4_4)
% 24.12/6.36 |
% 24.12/6.36 | Applying alpha-rule on (134) yields:
% 24.12/6.36 | (135) k5_relat_1(all_0_8_8, all_0_5_5) = all_97_0_156
% 24.12/6.36 | (136) k1_zfmisc_1(all_97_6_162) = all_97_5_161
% 24.12/6.36 | (137) k1_zfmisc_1(all_97_3_159) = all_97_2_158
% 24.12/6.36 | (138) k2_zfmisc_1(all_0_9_9, all_0_9_9) = all_97_3_159
% 24.12/6.36 | (139) k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_97_6_162
% 24.12/6.36 | (140) m1_subset_1(all_0_8_8, all_97_5_161) = all_97_4_160
% 24.12/6.36 | (141) m1_subset_1(all_0_5_5, all_97_2_158) = all_97_1_157
% 24.12/6.36 | (142) ~ (all_97_1_157 = 0) | ~ (all_97_4_160 = 0) | all_97_0_156 = all_0_4_4
% 24.12/6.36 |
% 24.12/6.36 | Instantiating (117) with all_99_0_163, all_99_1_164 yields:
% 24.12/6.36 | (143) k7_relset_1(all_0_10_10, all_0_9_9, all_0_9_9, all_0_9_9, all_0_8_8, all_99_0_163) = all_0_8_8 & k7_relset_1(all_0_10_10, all_0_10_10, all_0_10_10, all_0_9_9, all_99_1_164, all_0_8_8) = all_0_8_8 & k6_partfun1(all_0_9_9) = all_99_0_163 & k6_partfun1(all_0_10_10) = all_99_1_164
% 24.12/6.36 |
% 24.12/6.36 | Applying alpha-rule on (143) yields:
% 24.12/6.36 | (144) k7_relset_1(all_0_10_10, all_0_9_9, all_0_9_9, all_0_9_9, all_0_8_8, all_99_0_163) = all_0_8_8
% 24.12/6.36 | (145) k7_relset_1(all_0_10_10, all_0_10_10, all_0_10_10, all_0_9_9, all_99_1_164, all_0_8_8) = all_0_8_8
% 24.12/6.36 | (146) k6_partfun1(all_0_9_9) = all_99_0_163
% 24.12/6.36 | (147) k6_partfun1(all_0_10_10) = all_99_1_164
% 24.12/6.36 |
% 24.12/6.36 | Instantiating (115) with all_117_0_190, all_117_1_191, all_117_2_192, all_117_3_193, all_117_4_194, all_117_5_195, all_117_6_196 yields:
% 24.12/6.36 | (148) k5_relat_1(all_0_7_7, all_0_8_8) = all_117_0_190 & k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_117_3_193 & k2_zfmisc_1(all_0_10_10, all_0_10_10) = all_117_6_196 & k1_zfmisc_1(all_117_3_193) = all_117_2_192 & k1_zfmisc_1(all_117_6_196) = all_117_5_195 & m1_subset_1(all_0_7_7, all_117_5_195) = all_117_4_194 & m1_subset_1(all_0_8_8, all_117_2_192) = all_117_1_191 & ( ~ (all_117_1_191 = 0) | ~ (all_117_4_194 = 0) | all_117_0_190 = all_0_6_6)
% 24.12/6.36 |
% 24.12/6.36 | Applying alpha-rule on (148) yields:
% 24.12/6.36 | (149) k5_relat_1(all_0_7_7, all_0_8_8) = all_117_0_190
% 24.12/6.37 | (150) ~ (all_117_1_191 = 0) | ~ (all_117_4_194 = 0) | all_117_0_190 = all_0_6_6
% 24.12/6.37 | (151) k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_117_3_193
% 24.12/6.37 | (152) k2_zfmisc_1(all_0_10_10, all_0_10_10) = all_117_6_196
% 24.12/6.37 | (153) k1_zfmisc_1(all_117_3_193) = all_117_2_192
% 24.12/6.37 | (154) m1_subset_1(all_0_8_8, all_117_2_192) = all_117_1_191
% 24.12/6.37 | (155) m1_subset_1(all_0_7_7, all_117_5_195) = all_117_4_194
% 24.12/6.37 | (156) k1_zfmisc_1(all_117_6_196) = all_117_5_195
% 24.12/6.37 |
% 24.12/6.37 | Instantiating (112) with all_119_0_197, all_119_1_198, all_119_2_199, all_119_3_200, all_119_4_201, all_119_5_202, all_119_6_203 yields:
% 24.12/6.37 | (157) m2_relset_1(all_0_4_4, all_0_10_10, all_0_9_9) = all_119_0_197 & k2_zfmisc_1(all_0_9_9, all_0_9_9) = all_119_3_200 & k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_119_6_203 & k1_zfmisc_1(all_119_3_200) = all_119_2_199 & k1_zfmisc_1(all_119_6_203) = all_119_5_202 & m1_subset_1(all_0_5_5, all_119_2_199) = all_119_1_198 & m1_subset_1(all_0_8_8, all_119_5_202) = all_119_4_201 & ( ~ (all_119_1_198 = 0) | ~ (all_119_4_201 = 0) | all_119_0_197 = 0)
% 24.12/6.37 |
% 24.12/6.37 | Applying alpha-rule on (157) yields:
% 24.12/6.37 | (158) k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_119_6_203
% 24.12/6.37 | (159) k1_zfmisc_1(all_119_3_200) = all_119_2_199
% 24.12/6.37 | (160) m1_subset_1(all_0_5_5, all_119_2_199) = all_119_1_198
% 24.12/6.37 | (161) k1_zfmisc_1(all_119_6_203) = all_119_5_202
% 24.12/6.37 | (162) m1_subset_1(all_0_8_8, all_119_5_202) = all_119_4_201
% 24.12/6.37 | (163) k2_zfmisc_1(all_0_9_9, all_0_9_9) = all_119_3_200
% 24.12/6.37 | (164) ~ (all_119_1_198 = 0) | ~ (all_119_4_201 = 0) | all_119_0_197 = 0
% 24.12/6.37 | (165) m2_relset_1(all_0_4_4, all_0_10_10, all_0_9_9) = all_119_0_197
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (55) with all_0_9_9, all_99_0_163, all_0_5_5 and discharging atoms k6_partfun1(all_0_9_9) = all_99_0_163, k6_partfun1(all_0_9_9) = all_0_5_5, yields:
% 24.12/6.37 | (166) all_99_0_163 = all_0_5_5
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (55) with all_0_10_10, all_99_1_164, all_0_7_7 and discharging atoms k6_partfun1(all_0_10_10) = all_99_1_164, k6_partfun1(all_0_10_10) = all_0_7_7, yields:
% 24.12/6.37 | (167) all_99_1_164 = all_0_7_7
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (36) with all_0_9_9, all_0_9_9, all_97_3_159, all_119_3_200 and discharging atoms k2_zfmisc_1(all_0_9_9, all_0_9_9) = all_119_3_200, k2_zfmisc_1(all_0_9_9, all_0_9_9) = all_97_3_159, yields:
% 24.12/6.37 | (168) all_119_3_200 = all_97_3_159
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (36) with all_0_10_10, all_0_9_9, all_117_3_193, all_119_6_203 and discharging atoms k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_119_6_203, k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_117_3_193, yields:
% 24.12/6.37 | (169) all_119_6_203 = all_117_3_193
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (36) with all_0_10_10, all_0_9_9, all_97_6_162, all_117_3_193 and discharging atoms k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_117_3_193, k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_97_6_162, yields:
% 24.12/6.37 | (170) all_117_3_193 = all_97_6_162
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (36) with all_0_10_10, all_0_9_9, all_95_3_152, all_97_6_162 and discharging atoms k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_97_6_162, k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_95_3_152, yields:
% 24.12/6.37 | (171) all_97_6_162 = all_95_3_152
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (36) with all_0_10_10, all_0_9_9, all_80_1_132, all_119_6_203 and discharging atoms k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_119_6_203, k2_zfmisc_1(all_0_10_10, all_0_9_9) = all_80_1_132, yields:
% 24.12/6.37 | (172) all_119_6_203 = all_80_1_132
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (36) with all_0_10_10, all_0_10_10, all_95_6_155, all_117_6_196 and discharging atoms k2_zfmisc_1(all_0_10_10, all_0_10_10) = all_117_6_196, k2_zfmisc_1(all_0_10_10, all_0_10_10) = all_95_6_155, yields:
% 24.12/6.37 | (173) all_117_6_196 = all_95_6_155
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (169,172) yields a new equation:
% 24.12/6.37 | (174) all_117_3_193 = all_80_1_132
% 24.12/6.37 |
% 24.12/6.37 | Simplifying 174 yields:
% 24.12/6.37 | (175) all_117_3_193 = all_80_1_132
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (170,175) yields a new equation:
% 24.12/6.37 | (176) all_97_6_162 = all_80_1_132
% 24.12/6.37 |
% 24.12/6.37 | Simplifying 176 yields:
% 24.12/6.37 | (177) all_97_6_162 = all_80_1_132
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (177,171) yields a new equation:
% 24.12/6.37 | (178) all_95_3_152 = all_80_1_132
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (178,171) yields a new equation:
% 24.12/6.37 | (177) all_97_6_162 = all_80_1_132
% 24.12/6.37 |
% 24.12/6.37 | From (166) and (144) follows:
% 24.12/6.37 | (180) k7_relset_1(all_0_10_10, all_0_9_9, all_0_9_9, all_0_9_9, all_0_8_8, all_0_5_5) = all_0_8_8
% 24.12/6.37 |
% 24.12/6.37 | From (167) and (145) follows:
% 24.12/6.37 | (181) k7_relset_1(all_0_10_10, all_0_10_10, all_0_10_10, all_0_9_9, all_0_7_7, all_0_8_8) = all_0_8_8
% 24.12/6.37 |
% 24.12/6.37 | From (168) and (163) follows:
% 24.12/6.37 | (138) k2_zfmisc_1(all_0_9_9, all_0_9_9) = all_97_3_159
% 24.12/6.37 |
% 24.12/6.37 | From (173) and (152) follows:
% 24.12/6.37 | (128) k2_zfmisc_1(all_0_10_10, all_0_10_10) = all_95_6_155
% 24.12/6.37 |
% 24.12/6.37 | From (168) and (159) follows:
% 24.12/6.37 | (184) k1_zfmisc_1(all_97_3_159) = all_119_2_199
% 24.12/6.37 |
% 24.12/6.37 | From (172) and (161) follows:
% 24.12/6.37 | (185) k1_zfmisc_1(all_80_1_132) = all_119_5_202
% 24.12/6.37 |
% 24.12/6.37 | From (175) and (153) follows:
% 24.12/6.37 | (186) k1_zfmisc_1(all_80_1_132) = all_117_2_192
% 24.12/6.37 |
% 24.12/6.37 | From (173) and (156) follows:
% 24.12/6.37 | (187) k1_zfmisc_1(all_95_6_155) = all_117_5_195
% 24.12/6.37 |
% 24.12/6.37 | From (177) and (136) follows:
% 24.12/6.37 | (188) k1_zfmisc_1(all_80_1_132) = all_97_5_161
% 24.12/6.37 |
% 24.12/6.37 | From (178) and (132) follows:
% 24.12/6.37 | (189) k1_zfmisc_1(all_80_1_132) = all_95_2_151
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (72) with all_97_3_159, all_119_2_199, all_97_2_158 and discharging atoms k1_zfmisc_1(all_97_3_159) = all_119_2_199, k1_zfmisc_1(all_97_3_159) = all_97_2_158, yields:
% 24.12/6.37 | (190) all_119_2_199 = all_97_2_158
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (72) with all_95_6_155, all_117_5_195, all_95_5_154 and discharging atoms k1_zfmisc_1(all_95_6_155) = all_117_5_195, k1_zfmisc_1(all_95_6_155) = all_95_5_154, yields:
% 24.12/6.37 | (191) all_117_5_195 = all_95_5_154
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (72) with all_80_1_132, all_117_2_192, all_119_5_202 and discharging atoms k1_zfmisc_1(all_80_1_132) = all_119_5_202, k1_zfmisc_1(all_80_1_132) = all_117_2_192, yields:
% 24.12/6.37 | (192) all_119_5_202 = all_117_2_192
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (72) with all_80_1_132, all_97_5_161, all_80_0_131 and discharging atoms k1_zfmisc_1(all_80_1_132) = all_97_5_161, k1_zfmisc_1(all_80_1_132) = all_80_0_131, yields:
% 24.12/6.37 | (193) all_97_5_161 = all_80_0_131
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (72) with all_80_1_132, all_97_5_161, all_119_5_202 and discharging atoms k1_zfmisc_1(all_80_1_132) = all_119_5_202, k1_zfmisc_1(all_80_1_132) = all_97_5_161, yields:
% 24.12/6.37 | (194) all_119_5_202 = all_97_5_161
% 24.12/6.37 |
% 24.12/6.37 | Instantiating formula (72) with all_80_1_132, all_95_2_151, all_119_5_202 and discharging atoms k1_zfmisc_1(all_80_1_132) = all_119_5_202, k1_zfmisc_1(all_80_1_132) = all_95_2_151, yields:
% 24.12/6.37 | (195) all_119_5_202 = all_95_2_151
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (195,192) yields a new equation:
% 24.12/6.37 | (196) all_117_2_192 = all_95_2_151
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (194,192) yields a new equation:
% 24.12/6.37 | (197) all_117_2_192 = all_97_5_161
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (197,196) yields a new equation:
% 24.12/6.37 | (198) all_97_5_161 = all_95_2_151
% 24.12/6.37 |
% 24.12/6.37 | Simplifying 198 yields:
% 24.12/6.37 | (199) all_97_5_161 = all_95_2_151
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (193,199) yields a new equation:
% 24.12/6.37 | (200) all_95_2_151 = all_80_0_131
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (200,199) yields a new equation:
% 24.12/6.37 | (193) all_97_5_161 = all_80_0_131
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (200,196) yields a new equation:
% 24.12/6.37 | (202) all_117_2_192 = all_80_0_131
% 24.12/6.37 |
% 24.12/6.37 | Combining equations (202,192) yields a new equation:
% 24.12/6.37 | (203) all_119_5_202 = all_80_0_131
% 24.12/6.38 |
% 24.12/6.38 | From (190) and (184) follows:
% 24.12/6.38 | (137) k1_zfmisc_1(all_97_3_159) = all_97_2_158
% 24.12/6.38 |
% 24.12/6.38 | From (191) and (187) follows:
% 24.12/6.38 | (126) k1_zfmisc_1(all_95_6_155) = all_95_5_154
% 24.12/6.38 |
% 24.12/6.38 | From (190) and (160) follows:
% 24.12/6.38 | (206) m1_subset_1(all_0_5_5, all_97_2_158) = all_119_1_198
% 24.12/6.38 |
% 24.12/6.38 | From (191) and (155) follows:
% 24.12/6.38 | (207) m1_subset_1(all_0_7_7, all_95_5_154) = all_117_4_194
% 24.12/6.38 |
% 24.12/6.38 | From (203) and (162) follows:
% 24.12/6.38 | (208) m1_subset_1(all_0_8_8, all_80_0_131) = all_119_4_201
% 24.12/6.38 |
% 24.12/6.38 | From (202) and (154) follows:
% 24.12/6.38 | (209) m1_subset_1(all_0_8_8, all_80_0_131) = all_117_1_191
% 24.12/6.38 |
% 24.12/6.38 | From (193) and (140) follows:
% 24.12/6.38 | (210) m1_subset_1(all_0_8_8, all_80_0_131) = all_97_4_160
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (106) with all_0_5_5, all_97_2_158, all_119_1_198, all_97_1_157 and discharging atoms m1_subset_1(all_0_5_5, all_97_2_158) = all_119_1_198, m1_subset_1(all_0_5_5, all_97_2_158) = all_97_1_157, yields:
% 24.12/6.38 | (211) all_119_1_198 = all_97_1_157
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (106) with all_0_7_7, all_95_5_154, all_117_4_194, all_95_4_153 and discharging atoms m1_subset_1(all_0_7_7, all_95_5_154) = all_117_4_194, m1_subset_1(all_0_7_7, all_95_5_154) = all_95_4_153, yields:
% 24.12/6.38 | (212) all_117_4_194 = all_95_4_153
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (106) with all_0_8_8, all_80_0_131, all_119_4_201, 0 and discharging atoms m1_subset_1(all_0_8_8, all_80_0_131) = all_119_4_201, m1_subset_1(all_0_8_8, all_80_0_131) = 0, yields:
% 24.12/6.38 | (213) all_119_4_201 = 0
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (106) with all_0_8_8, all_80_0_131, all_117_1_191, all_119_4_201 and discharging atoms m1_subset_1(all_0_8_8, all_80_0_131) = all_119_4_201, m1_subset_1(all_0_8_8, all_80_0_131) = all_117_1_191, yields:
% 24.12/6.38 | (214) all_119_4_201 = all_117_1_191
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (106) with all_0_8_8, all_80_0_131, all_97_4_160, all_117_1_191 and discharging atoms m1_subset_1(all_0_8_8, all_80_0_131) = all_117_1_191, m1_subset_1(all_0_8_8, all_80_0_131) = all_97_4_160, yields:
% 24.12/6.38 | (215) all_117_1_191 = all_97_4_160
% 24.12/6.38 |
% 24.12/6.38 | Combining equations (214,213) yields a new equation:
% 24.12/6.38 | (216) all_117_1_191 = 0
% 24.12/6.38 |
% 24.12/6.38 | Simplifying 216 yields:
% 24.12/6.38 | (217) all_117_1_191 = 0
% 24.12/6.38 |
% 24.12/6.38 | Combining equations (215,217) yields a new equation:
% 24.12/6.38 | (218) all_97_4_160 = 0
% 24.12/6.38 |
% 24.12/6.38 | Simplifying 218 yields:
% 24.12/6.38 | (219) all_97_4_160 = 0
% 24.12/6.38 |
% 24.12/6.38 | From (211) and (206) follows:
% 24.12/6.38 | (141) m1_subset_1(all_0_5_5, all_97_2_158) = all_97_1_157
% 24.12/6.38 |
% 24.12/6.38 | From (212) and (207) follows:
% 24.12/6.38 | (127) m1_subset_1(all_0_7_7, all_95_5_154) = all_95_4_153
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (28) with all_0_8_8, all_0_5_5, all_0_8_8, all_0_9_9, all_0_9_9, all_0_9_9, all_0_10_10 and discharging atoms k7_relset_1(all_0_10_10, all_0_9_9, all_0_9_9, all_0_9_9, all_0_8_8, all_0_5_5) = all_0_8_8, yields:
% 24.12/6.38 | (222) ? [v0] : ? [v1] : ? [v2] : (m1_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = v1 & m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = v0 & m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (48) with all_0_8_8, all_0_5_5, all_0_8_8, all_0_9_9, all_0_9_9, all_0_9_9, all_0_10_10 and discharging atoms k7_relset_1(all_0_10_10, all_0_9_9, all_0_9_9, all_0_9_9, all_0_8_8, all_0_5_5) = all_0_8_8, yields:
% 24.12/6.38 | (223) ? [v0] : ? [v1] : ? [v2] : (m1_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = v1 & m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = v0 & k5_relat_1(all_0_8_8, all_0_5_5) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_8_8))
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (28) with all_0_8_8, all_0_8_8, all_0_7_7, all_0_9_9, all_0_10_10, all_0_10_10, all_0_10_10 and discharging atoms k7_relset_1(all_0_10_10, all_0_10_10, all_0_10_10, all_0_9_9, all_0_7_7, all_0_8_8) = all_0_8_8, yields:
% 24.12/6.38 | (224) ? [v0] : ? [v1] : ? [v2] : (m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = v0 & m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = v1 & m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = 0))
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (48) with all_0_8_8, all_0_8_8, all_0_7_7, all_0_9_9, all_0_10_10, all_0_10_10, all_0_10_10 and discharging atoms k7_relset_1(all_0_10_10, all_0_10_10, all_0_10_10, all_0_9_9, all_0_7_7, all_0_8_8) = all_0_8_8, yields:
% 24.12/6.38 | (225) ? [v0] : ? [v1] : ? [v2] : (m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = v0 & m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = v1 & k5_relat_1(all_0_7_7, all_0_8_8) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v2 = all_0_8_8))
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (41) with all_0_5_5, all_0_9_9, all_0_9_9 and discharging atoms m2_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = 0, yields:
% 24.12/6.38 | (226) m1_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = 0
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (41) with all_0_7_7, all_0_10_10, all_0_10_10 and discharging atoms m2_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = 0, yields:
% 24.12/6.38 | (227) m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = 0
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (95) with all_97_1_157, all_97_2_158, all_97_3_159, all_0_5_5, all_0_9_9, all_0_9_9 and discharging atoms k2_zfmisc_1(all_0_9_9, all_0_9_9) = all_97_3_159, k1_zfmisc_1(all_97_3_159) = all_97_2_158, m1_subset_1(all_0_5_5, all_97_2_158) = all_97_1_157, yields:
% 24.12/6.38 | (228) all_97_1_157 = 0 | ? [v0] : ( ~ (v0 = 0) & m2_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = v0)
% 24.12/6.38 |
% 24.12/6.38 | Instantiating formula (95) with all_95_4_153, all_95_5_154, all_95_6_155, all_0_7_7, all_0_10_10, all_0_10_10 and discharging atoms k2_zfmisc_1(all_0_10_10, all_0_10_10) = all_95_6_155, k1_zfmisc_1(all_95_6_155) = all_95_5_154, m1_subset_1(all_0_7_7, all_95_5_154) = all_95_4_153, yields:
% 24.12/6.38 | (229) all_95_4_153 = 0 | ? [v0] : ( ~ (v0 = 0) & m2_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = v0)
% 24.12/6.38 |
% 24.12/6.38 | Instantiating (225) with all_190_0_269, all_190_1_270, all_190_2_271 yields:
% 24.12/6.38 | (230) m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_190_2_271 & m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_190_1_270 & k5_relat_1(all_0_7_7, all_0_8_8) = all_190_0_269 & ( ~ (all_190_1_270 = 0) | ~ (all_190_2_271 = 0) | all_190_0_269 = all_0_8_8)
% 24.12/6.38 |
% 24.12/6.38 | Applying alpha-rule on (230) yields:
% 24.12/6.38 | (231) m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_190_2_271
% 24.12/6.38 | (232) m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_190_1_270
% 24.12/6.38 | (233) k5_relat_1(all_0_7_7, all_0_8_8) = all_190_0_269
% 24.12/6.38 | (234) ~ (all_190_1_270 = 0) | ~ (all_190_2_271 = 0) | all_190_0_269 = all_0_8_8
% 24.12/6.38 |
% 24.12/6.38 | Instantiating (222) with all_215_0_309, all_215_1_310, all_215_2_311 yields:
% 24.12/6.38 | (235) m1_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = all_215_1_310 & m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_215_2_311 & m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_215_0_309 & ( ~ (all_215_1_310 = 0) | ~ (all_215_2_311 = 0) | all_215_0_309 = 0)
% 24.12/6.38 |
% 24.12/6.38 | Applying alpha-rule on (235) yields:
% 24.12/6.38 | (236) m1_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = all_215_1_310
% 24.12/6.38 | (237) m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_215_2_311
% 24.12/6.38 | (238) m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_215_0_309
% 24.12/6.38 | (239) ~ (all_215_1_310 = 0) | ~ (all_215_2_311 = 0) | all_215_0_309 = 0
% 24.12/6.38 |
% 24.12/6.38 | Instantiating (224) with all_266_0_372, all_266_1_373, all_266_2_374 yields:
% 24.12/6.38 | (240) m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_266_2_374 & m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_266_1_373 & m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_266_0_372 & ( ~ (all_266_1_373 = 0) | ~ (all_266_2_374 = 0) | all_266_0_372 = 0)
% 24.12/6.38 |
% 24.12/6.38 | Applying alpha-rule on (240) yields:
% 24.12/6.38 | (241) m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_266_2_374
% 24.12/6.38 | (242) m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_266_1_373
% 24.12/6.38 | (243) m2_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_266_0_372
% 24.12/6.38 | (244) ~ (all_266_1_373 = 0) | ~ (all_266_2_374 = 0) | all_266_0_372 = 0
% 24.12/6.38 |
% 24.12/6.38 | Instantiating (223) with all_278_0_387, all_278_1_388, all_278_2_389 yields:
% 24.12/6.38 | (245) m1_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = all_278_1_388 & m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_278_2_389 & k5_relat_1(all_0_8_8, all_0_5_5) = all_278_0_387 & ( ~ (all_278_1_388 = 0) | ~ (all_278_2_389 = 0) | all_278_0_387 = all_0_8_8)
% 24.12/6.38 |
% 24.12/6.38 | Applying alpha-rule on (245) yields:
% 24.12/6.38 | (246) m1_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = all_278_1_388
% 24.12/6.38 | (247) m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_278_2_389
% 24.12/6.38 | (248) k5_relat_1(all_0_8_8, all_0_5_5) = all_278_0_387
% 24.12/6.38 | (249) ~ (all_278_1_388 = 0) | ~ (all_278_2_389 = 0) | all_278_0_387 = all_0_8_8
% 24.12/6.38 |
% 24.12/6.38 +-Applying beta-rule and splitting (228), into two cases.
% 24.12/6.38 |-Branch one:
% 24.12/6.38 | (250) all_97_1_157 = 0
% 24.12/6.38 |
% 24.12/6.38 +-Applying beta-rule and splitting (142), into two cases.
% 24.12/6.38 |-Branch one:
% 24.12/6.38 | (251) ~ (all_97_1_157 = 0)
% 24.12/6.38 |
% 24.12/6.38 | Equations (250) can reduce 251 to:
% 24.12/6.38 | (252) $false
% 24.12/6.38 |
% 24.12/6.38 |-The branch is then unsatisfiable
% 24.12/6.38 |-Branch two:
% 24.12/6.38 | (250) all_97_1_157 = 0
% 24.12/6.38 | (254) ~ (all_97_4_160 = 0) | all_97_0_156 = all_0_4_4
% 24.12/6.38 |
% 24.12/6.38 +-Applying beta-rule and splitting (229), into two cases.
% 24.12/6.38 |-Branch one:
% 24.12/6.38 | (255) all_95_4_153 = 0
% 24.12/6.38 |
% 24.12/6.38 | Combining equations (255,212) yields a new equation:
% 24.12/6.38 | (256) all_117_4_194 = 0
% 24.12/6.38 |
% 24.12/6.38 +-Applying beta-rule and splitting (254), into two cases.
% 24.12/6.38 |-Branch one:
% 24.12/6.38 | (257) ~ (all_97_4_160 = 0)
% 24.12/6.38 |
% 24.12/6.38 | Equations (219) can reduce 257 to:
% 24.12/6.38 | (252) $false
% 24.12/6.38 |
% 24.12/6.38 |-The branch is then unsatisfiable
% 24.12/6.38 |-Branch two:
% 24.12/6.38 | (219) all_97_4_160 = 0
% 24.12/6.38 | (260) all_97_0_156 = all_0_4_4
% 24.12/6.38 |
% 24.12/6.38 | From (260) and (135) follows:
% 24.12/6.38 | (261) k5_relat_1(all_0_8_8, all_0_5_5) = all_0_4_4
% 24.12/6.38 |
% 24.12/6.38 +-Applying beta-rule and splitting (150), into two cases.
% 24.12/6.38 |-Branch one:
% 24.12/6.38 | (262) ~ (all_117_1_191 = 0)
% 24.12/6.39 |
% 24.12/6.39 | Equations (217) can reduce 262 to:
% 24.12/6.39 | (252) $false
% 24.12/6.39 |
% 24.12/6.39 |-The branch is then unsatisfiable
% 24.12/6.39 |-Branch two:
% 24.12/6.39 | (217) all_117_1_191 = 0
% 24.12/6.39 | (265) ~ (all_117_4_194 = 0) | all_117_0_190 = all_0_6_6
% 24.12/6.39 |
% 24.12/6.39 +-Applying beta-rule and splitting (265), into two cases.
% 24.12/6.39 |-Branch one:
% 24.12/6.39 | (266) ~ (all_117_4_194 = 0)
% 24.12/6.39 |
% 24.12/6.39 | Equations (256) can reduce 266 to:
% 24.12/6.39 | (252) $false
% 24.12/6.39 |
% 24.12/6.39 |-The branch is then unsatisfiable
% 24.12/6.39 |-Branch two:
% 24.12/6.39 | (256) all_117_4_194 = 0
% 24.12/6.39 | (269) all_117_0_190 = all_0_6_6
% 24.12/6.39 |
% 24.12/6.39 | From (269) and (149) follows:
% 24.12/6.39 | (270) k5_relat_1(all_0_7_7, all_0_8_8) = all_0_6_6
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (88) with all_0_5_5, all_0_9_9, all_0_9_9, 0, all_278_1_388 and discharging atoms m1_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = all_278_1_388, m1_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = 0, yields:
% 24.12/6.39 | (271) all_278_1_388 = 0
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (88) with all_0_7_7, all_0_10_10, all_0_10_10, all_190_2_271, all_266_2_374 and discharging atoms m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_266_2_374, m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_190_2_271, yields:
% 24.12/6.39 | (272) all_266_2_374 = all_190_2_271
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (88) with all_0_7_7, all_0_10_10, all_0_10_10, 0, all_266_2_374 and discharging atoms m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_266_2_374, m1_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = 0, yields:
% 24.12/6.39 | (273) all_266_2_374 = 0
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (88) with all_0_8_8, all_0_10_10, all_0_9_9, all_278_2_389, 0 and discharging atoms m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_278_2_389, m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = 0, yields:
% 24.12/6.39 | (274) all_278_2_389 = 0
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (88) with all_0_8_8, all_0_10_10, all_0_9_9, all_266_1_373, all_278_2_389 and discharging atoms m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_278_2_389, m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_266_1_373, yields:
% 24.12/6.39 | (275) all_278_2_389 = all_266_1_373
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (88) with all_0_8_8, all_0_10_10, all_0_9_9, all_215_2_311, all_278_2_389 and discharging atoms m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_278_2_389, m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_215_2_311, yields:
% 24.12/6.39 | (276) all_278_2_389 = all_215_2_311
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (88) with all_0_8_8, all_0_10_10, all_0_9_9, all_190_1_270, all_215_2_311 and discharging atoms m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_215_2_311, m1_relset_1(all_0_8_8, all_0_10_10, all_0_9_9) = all_190_1_270, yields:
% 24.12/6.39 | (277) all_215_2_311 = all_190_1_270
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (104) with all_0_7_7, all_0_8_8, all_0_6_6, all_190_0_269 and discharging atoms k5_relat_1(all_0_7_7, all_0_8_8) = all_190_0_269, k5_relat_1(all_0_7_7, all_0_8_8) = all_0_6_6, yields:
% 24.12/6.39 | (278) all_190_0_269 = all_0_6_6
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (104) with all_0_8_8, all_0_5_5, all_0_4_4, all_278_0_387 and discharging atoms k5_relat_1(all_0_8_8, all_0_5_5) = all_278_0_387, k5_relat_1(all_0_8_8, all_0_5_5) = all_0_4_4, yields:
% 24.12/6.39 | (279) all_278_0_387 = all_0_4_4
% 24.12/6.39 |
% 24.12/6.39 | Combining equations (274,275) yields a new equation:
% 24.12/6.39 | (280) all_266_1_373 = 0
% 24.12/6.39 |
% 24.12/6.39 | Combining equations (276,275) yields a new equation:
% 24.12/6.39 | (281) all_266_1_373 = all_215_2_311
% 24.12/6.39 |
% 24.12/6.39 | Combining equations (281,280) yields a new equation:
% 24.12/6.39 | (282) all_215_2_311 = 0
% 24.12/6.39 |
% 24.12/6.39 | Simplifying 282 yields:
% 24.12/6.39 | (283) all_215_2_311 = 0
% 24.12/6.39 |
% 24.12/6.39 | Combining equations (272,273) yields a new equation:
% 24.12/6.39 | (284) all_190_2_271 = 0
% 24.12/6.39 |
% 24.12/6.39 | Simplifying 284 yields:
% 24.12/6.39 | (285) all_190_2_271 = 0
% 24.12/6.39 |
% 24.12/6.39 | Combining equations (277,283) yields a new equation:
% 24.12/6.39 | (286) all_190_1_270 = 0
% 24.12/6.39 |
% 24.12/6.39 | Simplifying 286 yields:
% 24.12/6.39 | (287) all_190_1_270 = 0
% 24.12/6.39 |
% 24.12/6.39 | Combining equations (280,275) yields a new equation:
% 24.12/6.39 | (274) all_278_2_389 = 0
% 24.12/6.39 |
% 24.12/6.39 +-Applying beta-rule and splitting (249), into two cases.
% 24.12/6.39 |-Branch one:
% 24.12/6.39 | (289) ~ (all_278_1_388 = 0)
% 24.12/6.39 |
% 24.12/6.39 | Equations (271) can reduce 289 to:
% 24.12/6.39 | (252) $false
% 24.12/6.39 |
% 24.12/6.39 |-The branch is then unsatisfiable
% 24.12/6.39 |-Branch two:
% 24.12/6.39 | (271) all_278_1_388 = 0
% 24.12/6.39 | (292) ~ (all_278_2_389 = 0) | all_278_0_387 = all_0_8_8
% 24.12/6.39 |
% 24.12/6.39 +-Applying beta-rule and splitting (234), into two cases.
% 24.12/6.39 |-Branch one:
% 24.12/6.39 | (293) ~ (all_190_1_270 = 0)
% 24.12/6.39 |
% 24.12/6.39 | Equations (287) can reduce 293 to:
% 24.12/6.39 | (252) $false
% 24.12/6.39 |
% 24.12/6.39 |-The branch is then unsatisfiable
% 24.12/6.39 |-Branch two:
% 24.12/6.39 | (287) all_190_1_270 = 0
% 24.12/6.39 | (296) ~ (all_190_2_271 = 0) | all_190_0_269 = all_0_8_8
% 24.12/6.39 |
% 24.12/6.39 +-Applying beta-rule and splitting (292), into two cases.
% 24.12/6.39 |-Branch one:
% 24.12/6.39 | (297) ~ (all_278_2_389 = 0)
% 24.12/6.39 |
% 24.12/6.39 | Equations (274) can reduce 297 to:
% 24.12/6.39 | (252) $false
% 24.12/6.39 |
% 24.12/6.39 |-The branch is then unsatisfiable
% 24.12/6.39 |-Branch two:
% 24.12/6.39 | (274) all_278_2_389 = 0
% 24.12/6.39 | (300) all_278_0_387 = all_0_8_8
% 24.12/6.39 |
% 24.12/6.39 | Combining equations (279,300) yields a new equation:
% 24.12/6.39 | (301) all_0_4_4 = all_0_8_8
% 24.12/6.39 |
% 24.12/6.39 | Simplifying 301 yields:
% 24.12/6.39 | (302) all_0_4_4 = all_0_8_8
% 24.12/6.39 |
% 24.12/6.39 | Equations (302) can reduce 60 to:
% 24.12/6.39 | (303) ~ (all_0_6_6 = all_0_8_8)
% 24.12/6.39 |
% 24.12/6.39 | Simplifying 303 yields:
% 24.12/6.39 | (304) ~ (all_0_6_6 = all_0_8_8)
% 24.12/6.39 |
% 24.12/6.39 +-Applying beta-rule and splitting (296), into two cases.
% 24.12/6.39 |-Branch one:
% 24.12/6.39 | (305) ~ (all_190_2_271 = 0)
% 24.12/6.39 |
% 24.12/6.39 | Equations (285) can reduce 305 to:
% 24.12/6.39 | (252) $false
% 24.12/6.39 |
% 24.12/6.39 |-The branch is then unsatisfiable
% 24.12/6.39 |-Branch two:
% 24.12/6.39 | (285) all_190_2_271 = 0
% 24.12/6.39 | (308) all_190_0_269 = all_0_8_8
% 24.12/6.39 |
% 24.12/6.39 | Combining equations (278,308) yields a new equation:
% 24.12/6.39 | (309) all_0_6_6 = all_0_8_8
% 24.12/6.39 |
% 24.12/6.39 | Simplifying 309 yields:
% 24.12/6.39 | (310) all_0_6_6 = all_0_8_8
% 24.12/6.39 |
% 24.12/6.39 | Equations (310) can reduce 304 to:
% 24.12/6.39 | (252) $false
% 24.12/6.39 |
% 24.12/6.39 |-The branch is then unsatisfiable
% 24.12/6.39 |-Branch two:
% 24.12/6.39 | (312) ~ (all_95_4_153 = 0)
% 24.12/6.39 | (313) ? [v0] : ( ~ (v0 = 0) & m2_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = v0)
% 24.12/6.39 |
% 24.12/6.39 | Instantiating (313) with all_307_0_408 yields:
% 24.12/6.39 | (314) ~ (all_307_0_408 = 0) & m2_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_307_0_408
% 24.12/6.39 |
% 24.12/6.39 | Applying alpha-rule on (314) yields:
% 24.12/6.39 | (315) ~ (all_307_0_408 = 0)
% 24.12/6.39 | (316) m2_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_307_0_408
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (59) with all_0_7_7, all_0_10_10, all_0_10_10, all_307_0_408, 0 and discharging atoms m2_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = all_307_0_408, m2_relset_1(all_0_7_7, all_0_10_10, all_0_10_10) = 0, yields:
% 24.12/6.39 | (317) all_307_0_408 = 0
% 24.12/6.39 |
% 24.12/6.39 | Equations (317) can reduce 315 to:
% 24.12/6.39 | (252) $false
% 24.12/6.39 |
% 24.12/6.39 |-The branch is then unsatisfiable
% 24.12/6.39 |-Branch two:
% 24.12/6.39 | (251) ~ (all_97_1_157 = 0)
% 24.12/6.39 | (320) ? [v0] : ( ~ (v0 = 0) & m2_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = v0)
% 24.12/6.39 |
% 24.12/6.39 | Instantiating (320) with all_295_0_423 yields:
% 24.12/6.39 | (321) ~ (all_295_0_423 = 0) & m2_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = all_295_0_423
% 24.12/6.39 |
% 24.12/6.39 | Applying alpha-rule on (321) yields:
% 24.12/6.39 | (322) ~ (all_295_0_423 = 0)
% 24.12/6.39 | (323) m2_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = all_295_0_423
% 24.12/6.39 |
% 24.12/6.39 | Instantiating formula (59) with all_0_5_5, all_0_9_9, all_0_9_9, all_295_0_423, 0 and discharging atoms m2_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = all_295_0_423, m2_relset_1(all_0_5_5, all_0_9_9, all_0_9_9) = 0, yields:
% 24.12/6.39 | (324) all_295_0_423 = 0
% 24.12/6.39 |
% 24.12/6.39 | Equations (324) can reduce 322 to:
% 24.12/6.39 | (252) $false
% 24.12/6.39 |
% 24.12/6.39 |-The branch is then unsatisfiable
% 24.12/6.39 % SZS output end Proof for theBenchmark
% 24.12/6.39
% 24.12/6.39 5747ms
%------------------------------------------------------------------------------