%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEU373+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 08:49:17 EDT 2022 % Result : Theorem 38.50s 14.65s % Output : Proof 47.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU373+1 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jun 20 02:10:46 EDT 2022 % 0.13/0.34 % CPUTime : % 0.58/0.59 ____ _ % 0.58/0.59 ___ / __ \_____(_)___ ________ __________ % 0.58/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.58/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.58/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.58/0.59 % 0.58/0.59 A Theorem Prover for First-Order Logic % 0.58/0.59 (ePrincess v.1.0) % 0.58/0.59 % 0.58/0.59 (c) Philipp Rümmer, 2009-2015 % 0.58/0.59 (c) Peter Backeman, 2014-2015 % 0.58/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.58/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.58/0.59 Bug reports to peter@backeman.se % 0.58/0.59 % 0.58/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.58/0.59 % 0.58/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.72/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.78/0.97 Prover 0: Preprocessing ... % 2.75/1.26 Prover 0: Warning: ignoring some quantifiers % 2.75/1.29 Prover 0: Constructing countermodel ... % 26.47/11.64 Prover 0: stopped % 26.47/11.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 26.81/11.72 Prover 1: Preprocessing ... % 27.47/11.87 Prover 1: Warning: ignoring some quantifiers % 27.47/11.87 Prover 1: Constructing countermodel ... % 35.20/13.87 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 35.49/13.92 Prover 2: Preprocessing ... % 36.49/14.15 Prover 2: Warning: ignoring some quantifiers % 36.49/14.16 Prover 2: Constructing countermodel ... % 38.50/14.64 Prover 2: proved (774ms) % 38.50/14.65 Prover 1: stopped % 38.50/14.65 % 38.50/14.65 No countermodel exists, formula is valid % 38.50/14.65 % SZS status Theorem for theBenchmark % 38.50/14.65 % 38.50/14.65 Generating proof ... Warning: ignoring some quantifiers % 46.10/16.46 found it (size 125) % 46.10/16.46 % 46.10/16.46 % SZS output start Proof for theBenchmark % 46.10/16.46 Assumed formulas after preprocessing and simplification: % 46.10/16.46 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ( ~ (v10 = 0) & ~ (v5 = 0) & relation_empty_yielding(v13) = 0 & relation_empty_yielding(v7) = 0 & relation_empty_yielding(v6) = 0 & relation_empty_yielding(empty_set) = 0 & one_sorted_str(v15) = 0 & one_sorted_str(v0) = 0 & net_str(v1, v0) = 0 & subnetstr(v3, v0, v1) = 0 & the_carrier(v3) = v4 & the_carrier(v1) = v2 & rel_str(v16) = 0 & subset(v4, v2) = v5 & one_to_one(v8) = 0 & relation(v14) = 0 & relation(v13) = 0 & relation(v12) = 0 & relation(v11) = 0 & relation(v9) = 0 & relation(v8) = 0 & relation(v7) = 0 & relation(v6) = 0 & relation(empty_set) = 0 & function(v14) = 0 & function(v13) = 0 & function(v11) = 0 & function(v8) = 0 & function(v6) = 0 & empty(v12) = 0 & empty(v11) = 0 & empty(v9) = v10 & empty(empty_set) = 0 & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (cartesian_product2(v17, v18) = v20) | ~ (powerset(v20) = v21) | ~ (element(v19, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & relation_of2_as_subset(v19, v17, v18) = v23)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v18 = v17 | ~ (relation_dom_restr_as_relation_of(v22, v21, v20, v19) = v18) | ~ (relation_dom_restr_as_relation_of(v22, v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (powerset(v19) = v20) | ~ (element(v18, v20) = 0) | ~ (element(v17, v19) = v21) | ? [v22] : ( ~ (v22 = 0) & in(v17, v18) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (quasi_total(v21, v20, v19) = v18) | ~ (quasi_total(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (relation_of2(v21, v20, v19) = v18) | ~ (relation_of2(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (relation_of2_as_subset(v21, v20, v19) = v18) | ~ (relation_of2_as_subset(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : (v18 = v17 | ~ (subnetstr(v21, v20, v19) = v18) | ~ (subnetstr(v21, v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (relation_dom_restr_as_relation_of(v17, v18, v19, v20) = v21) | ? [v22] : ((v22 = v21 & relation_dom_restriction(v19, v20) = v21) | ( ~ (v22 = 0) & relation_of2(v19, v17, v18) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (relation_dom_restr_as_relation_of(v17, v18, v19, v20) = v21) | ? [v22] : ((v22 = 0 & relation_of2_as_subset(v21, v17, v18) = 0) | ( ~ (v22 = 0) & relation_of2(v19, v17, v18) = v22))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ! [v21] : ( ~ (cartesian_product2(v17, v18) = v20) | ~ (powerset(v20) = v21) | ~ (element(v19, v21) = 0) | relation(v19) = 0) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (relation_of2(v19, v17, v18) = v20) | ? [v21] : ( ~ (v21 = 0) & relation_of2_as_subset(v19, v17, v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (relation_of2_as_subset(v19, v17, v18) = v20) | ? [v21] : ( ~ (v21 = 0) & relation_of2(v19, v17, v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (net_str(v19, v17) = v20) | ~ (net_str(v18, v17) = 0) | ? [v21] : (( ~ (v21 = 0) & one_sorted_str(v17) = v21) | ( ~ (v21 = 0) & subnetstr(v19, v17, v18) = v21))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (powerset(v18) = v19) | ~ (element(v17, v19) = v20) | ? [v21] : ( ~ (v21 = 0) & subset(v17, v18) = v21)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (element(v17, v19) = v20) | ~ (in(v17, v18) = 0) | ? [v21] : ? [v22] : ( ~ (v22 = 0) & powerset(v19) = v21 & element(v18, v21) = v22)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (relation_dom_restriction(v20, v19) = v18) | ~ (relation_dom_restriction(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (net_str(v20, v19) = v18) | ~ (net_str(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (the_mapping(v20, v19) = v18) | ~ (the_mapping(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (subrelstr(v20, v19) = v18) | ~ (subrelstr(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (subset(v20, v19) = v18) | ~ (subset(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (cartesian_product2(v20, v19) = v18) | ~ (cartesian_product2(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (element(v20, v19) = v18) | ~ (element(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v18 = v17 | ~ (in(v20, v19) = v18) | ~ (in(v20, v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (the_mapping(v17, v19) = v20) | ~ (the_carrier(v17) = v18) | ? [v21] : (( ~ (v21 = 0) & one_sorted_str(v17) = v21) | ( ~ (v21 = 0) & net_str(v19, v17) = v21) | (the_carrier(v19) = v21 & ! [v22] : ! [v23] : ( ~ (subnetstr(v22, v17, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0)) & (v23 = 0 | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))) & ! [v22] : ! [v23] : ( ~ (the_mapping(v17, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v23 & v25 = 0 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v23 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v23) & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (the_carrier(v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v26 & v25 = 0 & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v21, v18, v20, v23) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v26) & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v21, v18, v20, v23) = v27) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (subrelstr(v22, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v27 & the_carrier(v22) = v26)) & ((v27 = v25 & v23 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v25 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24))))) & ! [v22] : ( ~ (net_str(v22, v17) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (((v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v23 = 0) & subnetstr(v22, v17, v19) = v23)) & ((v23 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (the_carrier(v19) = v20) | ~ (the_carrier(v17) = v18) | ? [v21] : (( ~ (v21 = 0) & one_sorted_str(v17) = v21) | ( ~ (v21 = 0) & net_str(v19, v17) = v21) | (the_mapping(v17, v19) = v21 & ! [v22] : ! [v23] : ( ~ (subnetstr(v22, v17, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0)) & (v23 = 0 | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))) & ! [v22] : ! [v23] : ( ~ (the_mapping(v17, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v23 & v25 = 0 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v23 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v23) & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (the_carrier(v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v26 & v25 = 0 & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v20, v18, v21, v23) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v26) & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v20, v18, v21, v23) = v27) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (subrelstr(v22, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26)) & ((v27 = v25 & v23 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24))))) & ! [v22] : ( ~ (net_str(v22, v17) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (((v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v23 = 0) & subnetstr(v22, v17, v19) = v23)) & ((v23 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))))) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (powerset(v19) = v20) | ~ (element(v18, v20) = 0) | ~ (in(v17, v18) = 0) | element(v17, v19) = 0) & ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (powerset(v19) = v20) | ~ (element(v18, v20) = 0) | ~ (in(v17, v18) = 0) | ? [v21] : ( ~ (v21 = 0) & empty(v19) = v21)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (one_sorted_str(v17) = 0) | ~ (rel_str(v18) = v19) | ? [v20] : ( ~ (v20 = 0) & net_str(v18, v17) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (rel_str(v18) = v19) | ~ (rel_str(v17) = 0) | ? [v20] : ( ~ (v20 = 0) & subrelstr(v18, v17) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (subset(v17, v18) = v19) | ? [v20] : ? [v21] : ( ~ (v21 = 0) & powerset(v18) = v20 & element(v17, v20) = v21)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (element(v17, v18) = v19) | ? [v20] : ( ~ (v20 = 0) & in(v17, v18) = v20)) & ! [v17] : ! [v18] : ! [v19] : (v19 = 0 | ~ (in(v17, v18) = v19) | ? [v20] : ((v20 = 0 & empty(v18) = 0) | ( ~ (v20 = 0) & element(v17, v18) = v20))) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (relation_empty_yielding(v19) = v18) | ~ (relation_empty_yielding(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (one_sorted_str(v19) = v18) | ~ (one_sorted_str(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (the_carrier(v19) = v18) | ~ (the_carrier(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (rel_str(v19) = v18) | ~ (rel_str(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (the_InternalRel(v19) = v18) | ~ (the_InternalRel(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (one_to_one(v19) = v18) | ~ (one_to_one(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (powerset(v19) = v18) | ~ (powerset(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (relation(v19) = v18) | ~ (relation(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (function(v19) = v18) | ~ (function(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : (v18 = v17 | ~ (empty(v19) = v18) | ~ (empty(v19) = v17)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (relation_of2(v19, v17, v18) = 0) | relation_of2_as_subset(v19, v17, v18) = 0) & ! [v17] : ! [v18] : ! [v19] : ( ~ (relation_of2_as_subset(v19, v17, v18) = 0) | relation_of2(v19, v17, v18) = 0) & ! [v17] : ! [v18] : ! [v19] : ( ~ (relation_of2_as_subset(v19, v17, v18) = 0) | ? [v20] : ? [v21] : (cartesian_product2(v17, v18) = v20 & powerset(v20) = v21 & element(v19, v21) = 0)) & ! [v17] : ! [v18] : ! [v19] : ( ~ (relation_dom_restriction(v17, v18) = v19) | ? [v20] : ? [v21] : ((v21 = 0 & v20 = 0 & relation_empty_yielding(v19) = 0 & relation(v19) = 0) | ( ~ (v20 = 0) & relation_empty_yielding(v17) = v20) | ( ~ (v20 = 0) & relation(v17) = v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (relation_dom_restriction(v17, v18) = v19) | ? [v20] : ? [v21] : ((v21 = 0 & v20 = 0 & relation(v19) = 0 & function(v19) = 0) | ( ~ (v20 = 0) & relation(v17) = v20) | ( ~ (v20 = 0) & function(v17) = v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (relation_dom_restriction(v17, v18) = v19) | ? [v20] : ((v20 = 0 & relation(v19) = 0) | ( ~ (v20 = 0) & relation(v17) = v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (net_str(v19, v17) = 0) | ~ (the_carrier(v17) = v18) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & one_sorted_str(v17) = v20) | (the_mapping(v17, v19) = v21 & the_carrier(v19) = v20 & ! [v22] : ! [v23] : ( ~ (subnetstr(v22, v17, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0)) & (v23 = 0 | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))) & ! [v22] : ! [v23] : ( ~ (the_mapping(v17, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v23 & v25 = 0 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v23 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v23) & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (the_carrier(v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v26 & v25 = 0 & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v20, v18, v21, v23) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v26) & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v20, v18, v21, v23) = v27) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (subrelstr(v22, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26)) & ((v27 = v25 & v23 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24))))) & ! [v22] : ( ~ (net_str(v22, v17) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (((v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v23 = 0) & subnetstr(v22, v17, v19) = v23)) & ((v23 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (net_str(v18, v17) = 0) | ~ (subnetstr(v19, v17, v18) = 0) | ? [v20] : ((v20 = 0 & net_str(v19, v17) = 0) | ( ~ (v20 = 0) & one_sorted_str(v17) = v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (the_mapping(v17, v18) = v19) | ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = 0 & v23 = 0 & v20 = 0 & quasi_total(v19, v21, v22) = 0 & relation_of2_as_subset(v19, v21, v22) = 0 & the_carrier(v18) = v21 & the_carrier(v17) = v22 & function(v19) = 0) | ( ~ (v20 = 0) & one_sorted_str(v17) = v20) | ( ~ (v20 = 0) & net_str(v18, v17) = v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (cartesian_product2(v17, v18) = v19) | ? [v20] : ((v20 = 0 & empty(v18) = 0) | (v20 = 0 & empty(v17) = 0) | ( ~ (v20 = 0) & empty(v19) = v20))) & ! [v17] : ! [v18] : ! [v19] : ( ~ (powerset(v18) = v19) | ~ (element(v17, v19) = 0) | subset(v17, v18) = 0) & ! [v17] : ! [v18] : ! [v19] : ( ~ (empty(v19) = 0) | ~ (in(v17, v18) = 0) | ? [v20] : ? [v21] : ( ~ (v21 = 0) & powerset(v19) = v20 & element(v18, v20) = v21)) & ! [v17] : ! [v18] : (v18 = v17 | ~ (empty(v18) = 0) | ~ (empty(v17) = 0)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (one_sorted_str(v17) = v18) | ? [v19] : ( ~ (v19 = 0) & rel_str(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (subset(v17, v17) = v18)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (relation(v17) = v18) | ? [v19] : ( ~ (v19 = 0) & empty(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (function(v17) = v18) | ? [v19] : ( ~ (v19 = 0) & empty(v17) = v19)) & ! [v17] : ! [v18] : (v18 = 0 | ~ (empty(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ( ~ (v21 = 0) & powerset(v17) = v19 & element(v20, v19) = 0 & empty(v20) = v21)) & ! [v17] : ! [v18] : ( ~ (one_sorted_str(v17) = 0) | ~ (net_str(v18, v17) = 0) | rel_str(v18) = 0) & ! [v17] : ! [v18] : ( ~ (net_str(v18, v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ((v24 = 0 & v23 = 0 & v20 = 0 & quasi_total(v19, v21, v22) = 0 & relation_of2_as_subset(v19, v21, v22) = 0 & the_mapping(v17, v18) = v19 & the_carrier(v18) = v21 & the_carrier(v17) = v22 & function(v19) = 0) | ( ~ (v19 = 0) & one_sorted_str(v17) = v19))) & ! [v17] : ! [v18] : ( ~ (net_str(v18, v17) = 0) | ? [v19] : ? [v20] : ((v20 = 0 & subnetstr(v19, v17, v18) = 0) | ( ~ (v19 = 0) & one_sorted_str(v17) = v19))) & ! [v17] : ! [v18] : ( ~ (the_carrier(v17) = v18) | ? [v19] : ? [v20] : ((v20 = 0 & relation_of2_as_subset(v19, v18, v18) = 0 & the_InternalRel(v17) = v19) | ( ~ (v19 = 0) & rel_str(v17) = v19))) & ! [v17] : ! [v18] : ( ~ (the_carrier(v17) = v18) | ? [v19] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (the_InternalRel(v17) = v19 & ! [v20] : ! [v21] : ( ~ (the_carrier(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v22 = 0) & rel_str(v20) = v22) | (((v25 = 0 & v23 = 0 & the_InternalRel(v20) = v24 & subset(v24, v19) = 0 & subset(v21, v18) = 0) | ( ~ (v22 = 0) & subrelstr(v20, v17) = v22)) & ((v22 = 0 & subrelstr(v20, v17) = 0) | ( ~ (v25 = 0) & the_InternalRel(v20) = v24 & subset(v24, v19) = v25) | ( ~ (v23 = 0) & subset(v21, v18) = v23))))) & ! [v20] : ! [v21] : ( ~ (subrelstr(v20, v17) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v22 = 0) & rel_str(v20) = v22) | (( ~ (v21 = 0) | (v25 = 0 & v23 = 0 & the_carrier(v20) = v22 & the_InternalRel(v20) = v24 & subset(v24, v19) = 0 & subset(v22, v18) = 0)) & (v21 = 0 | ( ~ (v25 = 0) & the_InternalRel(v20) = v24 & subset(v24, v19) = v25) | ( ~ (v23 = 0) & the_carrier(v20) = v22 & subset(v22, v18) = v23))))) & ! [v20] : ! [v21] : ( ~ (the_InternalRel(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v22 = 0) & rel_str(v20) = v22) | (((v25 = 0 & v24 = 0 & the_carrier(v20) = v23 & subset(v23, v18) = 0 & subset(v21, v19) = 0) | ( ~ (v22 = 0) & subrelstr(v20, v17) = v22)) & ((v22 = 0 & subrelstr(v20, v17) = 0) | ( ~ (v25 = 0) & subset(v21, v19) = v25) | ( ~ (v24 = 0) & the_carrier(v20) = v23 & subset(v23, v18) = v24))))) & ! [v20] : ( ~ (rel_str(v20) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (((v25 = 0 & v23 = 0 & the_carrier(v20) = v22 & the_InternalRel(v20) = v24 & subset(v24, v19) = 0 & subset(v22, v18) = 0) | ( ~ (v21 = 0) & subrelstr(v20, v17) = v21)) & ((v21 = 0 & subrelstr(v20, v17) = 0) | ( ~ (v25 = 0) & the_InternalRel(v20) = v24 & subset(v24, v19) = v25) | ( ~ (v23 = 0) & the_carrier(v20) = v22 & subset(v22, v18) = v23))))))) & ! [v17] : ! [v18] : ( ~ (rel_str(v17) = 0) | ~ (subrelstr(v18, v17) = 0) | rel_str(v18) = 0) & ! [v17] : ! [v18] : ( ~ (the_InternalRel(v17) = v18) | ? [v19] : ? [v20] : ((v20 = 0 & relation_of2_as_subset(v18, v19, v19) = 0 & the_carrier(v17) = v19) | ( ~ (v19 = 0) & rel_str(v17) = v19))) & ! [v17] : ! [v18] : ( ~ (the_InternalRel(v17) = v18) | ? [v19] : (( ~ (v19 = 0) & rel_str(v17) = v19) | (the_carrier(v17) = v19 & ! [v20] : ! [v21] : ( ~ (the_carrier(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v22 = 0) & rel_str(v20) = v22) | (((v25 = 0 & v23 = 0 & the_InternalRel(v20) = v24 & subset(v24, v18) = 0 & subset(v21, v19) = 0) | ( ~ (v22 = 0) & subrelstr(v20, v17) = v22)) & ((v22 = 0 & subrelstr(v20, v17) = 0) | ( ~ (v25 = 0) & the_InternalRel(v20) = v24 & subset(v24, v18) = v25) | ( ~ (v23 = 0) & subset(v21, v19) = v23))))) & ! [v20] : ! [v21] : ( ~ (subrelstr(v20, v17) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v22 = 0) & rel_str(v20) = v22) | (( ~ (v21 = 0) | (v25 = 0 & v23 = 0 & the_carrier(v20) = v22 & the_InternalRel(v20) = v24 & subset(v24, v18) = 0 & subset(v22, v19) = 0)) & (v21 = 0 | ( ~ (v25 = 0) & the_InternalRel(v20) = v24 & subset(v24, v18) = v25) | ( ~ (v23 = 0) & the_carrier(v20) = v22 & subset(v22, v19) = v23))))) & ! [v20] : ! [v21] : ( ~ (the_InternalRel(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v22 = 0) & rel_str(v20) = v22) | (((v25 = 0 & v24 = 0 & the_carrier(v20) = v23 & subset(v23, v19) = 0 & subset(v21, v18) = 0) | ( ~ (v22 = 0) & subrelstr(v20, v17) = v22)) & ((v22 = 0 & subrelstr(v20, v17) = 0) | ( ~ (v25 = 0) & subset(v21, v18) = v25) | ( ~ (v24 = 0) & the_carrier(v20) = v23 & subset(v23, v19) = v24))))) & ! [v20] : ( ~ (rel_str(v20) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (((v25 = 0 & v23 = 0 & the_carrier(v20) = v22 & the_InternalRel(v20) = v24 & subset(v24, v18) = 0 & subset(v22, v19) = 0) | ( ~ (v21 = 0) & subrelstr(v20, v17) = v21)) & ((v21 = 0 & subrelstr(v20, v17) = 0) | ( ~ (v25 = 0) & the_InternalRel(v20) = v24 & subset(v24, v18) = v25) | ( ~ (v23 = 0) & the_carrier(v20) = v22 & subset(v22, v19) = v23))))))) & ! [v17] : ! [v18] : ( ~ (subset(v17, v18) = 0) | ? [v19] : (powerset(v18) = v19 & element(v17, v19) = 0)) & ! [v17] : ! [v18] : ( ~ (one_to_one(v17) = v18) | ? [v19] : ? [v20] : ((v20 = 0 & v19 = 0 & v18 = 0 & relation(v17) = 0 & function(v17) = 0) | ( ~ (v19 = 0) & relation(v17) = v19) | ( ~ (v19 = 0) & function(v17) = v19) | ( ~ (v19 = 0) & empty(v17) = v19))) & ! [v17] : ! [v18] : ( ~ (powerset(v17) = v18) | ? [v19] : ? [v20] : ? [v21] : ((v20 = 0 & ~ (v21 = 0) & element(v19, v18) = 0 & empty(v19) = v21) | (v19 = 0 & empty(v17) = 0))) & ! [v17] : ! [v18] : ( ~ (powerset(v17) = v18) | ? [v19] : ( ~ (v19 = 0) & empty(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (powerset(v17) = v18) | ? [v19] : (element(v19, v18) = 0 & empty(v19) = 0)) & ! [v17] : ! [v18] : ( ~ (element(v17, v18) = 0) | ? [v19] : ((v19 = 0 & empty(v18) = 0) | (v19 = 0 & in(v17, v18) = 0))) & ! [v17] : ! [v18] : ( ~ (in(v18, v17) = 0) | ? [v19] : ( ~ (v19 = 0) & in(v17, v18) = v19)) & ! [v17] : ! [v18] : ( ~ (in(v17, v18) = 0) | element(v17, v18) = 0) & ! [v17] : ! [v18] : ( ~ (in(v17, v18) = 0) | ? [v19] : ( ~ (v19 = 0) & empty(v18) = v19)) & ! [v17] : ! [v18] : ( ~ (in(v17, v18) = 0) | ? [v19] : ( ~ (v19 = 0) & in(v18, v17) = v19)) & ! [v17] : (v17 = empty_set | ~ (empty(v17) = 0)) & ! [v17] : ( ~ (one_sorted_str(v17) = 0) | ? [v18] : net_str(v18, v17) = 0) & ! [v17] : ( ~ (one_sorted_str(v17) = 0) | ? [v18] : (the_carrier(v17) = v18 & ! [v19] : ! [v20] : ( ~ (the_mapping(v17, v19) = v20) | ? [v21] : (( ~ (v21 = 0) & net_str(v19, v17) = v21) | (the_carrier(v19) = v21 & ! [v22] : ! [v23] : ( ~ (subnetstr(v22, v17, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0)) & (v23 = 0 | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))) & ! [v22] : ! [v23] : ( ~ (the_mapping(v17, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v23 & v25 = 0 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v23 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v23) & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (the_carrier(v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v26 & v25 = 0 & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v21, v18, v20, v23) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v26) & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v21, v18, v20, v23) = v27) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (subrelstr(v22, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v27 & the_carrier(v22) = v26)) & ((v27 = v25 & v23 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v25 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24))))) & ! [v22] : ( ~ (net_str(v22, v17) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (((v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v23 = 0) & subnetstr(v22, v17, v19) = v23)) & ((v23 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v21, v18, v20, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))))) & ! [v19] : ! [v20] : ( ~ (the_carrier(v19) = v20) | ? [v21] : (( ~ (v21 = 0) & net_str(v19, v17) = v21) | (the_mapping(v17, v19) = v21 & ! [v22] : ! [v23] : ( ~ (subnetstr(v22, v17, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0)) & (v23 = 0 | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))) & ! [v22] : ! [v23] : ( ~ (the_mapping(v17, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v23 & v25 = 0 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v23 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v23) & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (the_carrier(v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v26 & v25 = 0 & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v20, v18, v21, v23) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v26) & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v20, v18, v21, v23) = v27) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (subrelstr(v22, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26)) & ((v27 = v25 & v23 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24))))) & ! [v22] : ( ~ (net_str(v22, v17) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (((v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v23 = 0) & subnetstr(v22, v17, v19) = v23)) & ((v23 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))))) & ! [v19] : ( ~ (net_str(v19, v17) = 0) | ? [v20] : ? [v21] : (the_mapping(v17, v19) = v21 & the_carrier(v19) = v20 & ! [v22] : ! [v23] : ( ~ (subnetstr(v22, v17, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0)) & (v23 = 0 | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24))))) & ! [v22] : ! [v23] : ( ~ (the_mapping(v17, v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v23 & v25 = 0 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v23 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v23) & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (the_carrier(v22) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (((v27 = v26 & v25 = 0 & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v20, v18, v21, v23) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24)) & ((v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v26) & the_mapping(v17, v22) = v26 & relation_dom_restr_as_relation_of(v20, v18, v21, v23) = v27) | ( ~ (v25 = 0) & subrelstr(v22, v19) = v25))))) & ! [v22] : ! [v23] : ( ~ (subrelstr(v22, v19) = v23) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (( ~ (v24 = 0) & net_str(v22, v17) = v24) | (( ~ (v23 = 0) | (v24 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26)) & ((v27 = v25 & v23 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subnetstr(v22, v17, v19) = v24))))) & ! [v22] : ( ~ (net_str(v22, v17) = 0) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (((v27 = v25 & v24 = 0 & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v25 & the_carrier(v22) = v26 & subrelstr(v22, v19) = 0) | ( ~ (v23 = 0) & subnetstr(v22, v17, v19) = v23)) & ((v23 = 0 & subnetstr(v22, v17, v19) = 0) | ( ~ (v27 = v25) & the_mapping(v17, v22) = v25 & relation_dom_restr_as_relation_of(v20, v18, v21, v26) = v27 & the_carrier(v22) = v26) | ( ~ (v24 = 0) & subrelstr(v22, v19) = v24)))))))) & ! [v17] : ( ~ (rel_str(v17) = 0) | one_sorted_str(v17) = 0) & ! [v17] : ( ~ (rel_str(v17) = 0) | ? [v18] : ? [v19] : (relation_of2_as_subset(v18, v19, v19) = 0 & the_carrier(v17) = v19 & the_InternalRel(v17) = v18)) & ! [v17] : ( ~ (rel_str(v17) = 0) | ? [v18] : ? [v19] : (the_carrier(v17) = v18 & the_InternalRel(v17) = v19 & ! [v20] : ! [v21] : ( ~ (the_carrier(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v22 = 0) & rel_str(v20) = v22) | (((v25 = 0 & v23 = 0 & the_InternalRel(v20) = v24 & subset(v24, v19) = 0 & subset(v21, v18) = 0) | ( ~ (v22 = 0) & subrelstr(v20, v17) = v22)) & ((v22 = 0 & subrelstr(v20, v17) = 0) | ( ~ (v25 = 0) & the_InternalRel(v20) = v24 & subset(v24, v19) = v25) | ( ~ (v23 = 0) & subset(v21, v18) = v23))))) & ! [v20] : ! [v21] : ( ~ (subrelstr(v20, v17) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v22 = 0) & rel_str(v20) = v22) | (( ~ (v21 = 0) | (v25 = 0 & v23 = 0 & the_carrier(v20) = v22 & the_InternalRel(v20) = v24 & subset(v24, v19) = 0 & subset(v22, v18) = 0)) & (v21 = 0 | ( ~ (v25 = 0) & the_InternalRel(v20) = v24 & subset(v24, v19) = v25) | ( ~ (v23 = 0) & the_carrier(v20) = v22 & subset(v22, v18) = v23))))) & ! [v20] : ! [v21] : ( ~ (the_InternalRel(v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (( ~ (v22 = 0) & rel_str(v20) = v22) | (((v25 = 0 & v24 = 0 & the_carrier(v20) = v23 & subset(v23, v18) = 0 & subset(v21, v19) = 0) | ( ~ (v22 = 0) & subrelstr(v20, v17) = v22)) & ((v22 = 0 & subrelstr(v20, v17) = 0) | ( ~ (v25 = 0) & subset(v21, v19) = v25) | ( ~ (v24 = 0) & the_carrier(v20) = v23 & subset(v23, v18) = v24))))) & ! [v20] : ( ~ (rel_str(v20) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : (((v25 = 0 & v23 = 0 & the_carrier(v20) = v22 & the_InternalRel(v20) = v24 & subset(v24, v19) = 0 & subset(v22, v18) = 0) | ( ~ (v21 = 0) & subrelstr(v20, v17) = v21)) & ((v21 = 0 & subrelstr(v20, v17) = 0) | ( ~ (v25 = 0) & the_InternalRel(v20) = v24 & subset(v24, v19) = v25) | ( ~ (v23 = 0) & the_carrier(v20) = v22 & subset(v22, v18) = v23)))))) & ! [v17] : ( ~ (rel_str(v17) = 0) | ? [v18] : subrelstr(v18, v17) = 0) & ! [v17] : ( ~ (relation(v17) = 0) | ? [v18] : ? [v19] : ((v19 = 0 & v18 = 0 & one_to_one(v17) = 0 & function(v17) = 0) | ( ~ (v18 = 0) & function(v17) = v18) | ( ~ (v18 = 0) & empty(v17) = v18))) & ! [v17] : ( ~ (function(v17) = 0) | ? [v18] : ? [v19] : ((v19 = 0 & v18 = 0 & one_to_one(v17) = 0 & relation(v17) = 0) | ( ~ (v18 = 0) & relation(v17) = v18) | ( ~ (v18 = 0) & empty(v17) = v18))) & ! [v17] : ( ~ (empty(v17) = 0) | relation(v17) = 0) & ! [v17] : ( ~ (empty(v17) = 0) | function(v17) = 0) & ! [v17] : ( ~ (empty(v17) = 0) | ? [v18] : ? [v19] : ? [v20] : ((v20 = 0 & v19 = 0 & v18 = 0 & one_to_one(v17) = 0 & relation(v17) = 0 & function(v17) = 0) | ( ~ (v18 = 0) & relation(v17) = v18) | ( ~ (v18 = 0) & function(v17) = v18))) & ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : relation_dom_restr_as_relation_of(v20, v19, v18, v17) = v21 & ? [v17] : ? [v18] : ? [v19] : ? [v20] : quasi_total(v19, v18, v17) = v20 & ? [v17] : ? [v18] : ? [v19] : ? [v20] : relation_of2(v19, v18, v17) = v20 & ? [v17] : ? [v18] : ? [v19] : ? [v20] : relation_of2_as_subset(v19, v18, v17) = v20 & ? [v17] : ? [v18] : ? [v19] : ? [v20] : subnetstr(v19, v18, v17) = v20 & ? [v17] : ? [v18] : ? [v19] : relation_of2(v19, v17, v18) = 0 & ? [v17] : ? [v18] : ? [v19] : relation_of2_as_subset(v19, v17, v18) = 0 & ? [v17] : ? [v18] : ? [v19] : relation_dom_restriction(v18, v17) = v19 & ? [v17] : ? [v18] : ? [v19] : net_str(v18, v17) = v19 & ? [v17] : ? [v18] : ? [v19] : the_mapping(v18, v17) = v19 & ? [v17] : ? [v18] : ? [v19] : subrelstr(v18, v17) = v19 & ? [v17] : ? [v18] : ? [v19] : subset(v18, v17) = v19 & ? [v17] : ? [v18] : ? [v19] : cartesian_product2(v18, v17) = v19 & ? [v17] : ? [v18] : ? [v19] : element(v18, v17) = v19 & ? [v17] : ? [v18] : ? [v19] : in(v18, v17) = v19 & ? [v17] : ? [v18] : relation_empty_yielding(v17) = v18 & ? [v17] : ? [v18] : one_sorted_str(v17) = v18 & ? [v17] : ? [v18] : the_carrier(v17) = v18 & ? [v17] : ? [v18] : rel_str(v17) = v18 & ? [v17] : ? [v18] : the_InternalRel(v17) = v18 & ? [v17] : ? [v18] : one_to_one(v17) = v18 & ? [v17] : ? [v18] : powerset(v17) = v18 & ? [v17] : ? [v18] : element(v18, v17) = 0 & ? [v17] : ? [v18] : relation(v17) = v18 & ? [v17] : ? [v18] : function(v17) = v18 & ? [v17] : ? [v18] : empty(v17) = v18) % 46.44/16.57 | 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 yields: % 46.44/16.57 | (1) ~ (all_0_6_6 = 0) & ~ (all_0_11_11 = 0) & relation_empty_yielding(all_0_3_3) = 0 & relation_empty_yielding(all_0_9_9) = 0 & relation_empty_yielding(all_0_10_10) = 0 & relation_empty_yielding(empty_set) = 0 & one_sorted_str(all_0_1_1) = 0 & one_sorted_str(all_0_16_16) = 0 & net_str(all_0_15_15, all_0_16_16) = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0 & the_carrier(all_0_13_13) = all_0_12_12 & the_carrier(all_0_15_15) = all_0_14_14 & rel_str(all_0_0_0) = 0 & subset(all_0_12_12, all_0_14_14) = all_0_11_11 & one_to_one(all_0_8_8) = 0 & relation(all_0_2_2) = 0 & relation(all_0_3_3) = 0 & relation(all_0_4_4) = 0 & relation(all_0_5_5) = 0 & relation(all_0_7_7) = 0 & relation(all_0_8_8) = 0 & relation(all_0_9_9) = 0 & relation(all_0_10_10) = 0 & relation(empty_set) = 0 & function(all_0_2_2) = 0 & function(all_0_3_3) = 0 & function(all_0_5_5) = 0 & function(all_0_8_8) = 0 & function(all_0_10_10) = 0 & empty(all_0_4_4) = 0 & empty(all_0_5_5) = 0 & empty(all_0_7_7) = all_0_6_6 & empty(empty_set) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (cartesian_product2(v0, v1) = v3) | ~ (powerset(v3) = v4) | ~ (element(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation_of2_as_subset(v2, v0, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (relation_dom_restr_as_relation_of(v5, v4, v3, v2) = v1) | ~ (relation_dom_restr_as_relation_of(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (quasi_total(v4, v3, v2) = v1) | ~ (quasi_total(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2(v4, v3, v2) = v1) | ~ (relation_of2(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2_as_subset(v4, v3, v2) = v1) | ~ (relation_of2_as_subset(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subnetstr(v4, v3, v2) = v1) | ~ (subnetstr(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom_restr_as_relation_of(v0, v1, v2, v3) = v4) | ? [v5] : ((v5 = v4 & relation_dom_restriction(v2, v3) = v4) | ( ~ (v5 = 0) & relation_of2(v2, v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom_restr_as_relation_of(v0, v1, v2, v3) = v4) | ? [v5] : ((v5 = 0 & relation_of2_as_subset(v4, v0, v1) = 0) | ( ~ (v5 = 0) & relation_of2(v2, v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cartesian_product2(v0, v1) = v3) | ~ (powerset(v3) = v4) | ~ (element(v2, v4) = 0) | relation(v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_of2(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_of2_as_subset(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation_of2(v2, v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (net_str(v2, v0) = v3) | ~ (net_str(v1, v0) = 0) | ? [v4] : (( ~ (v4 = 0) & one_sorted_str(v0) = v4) | ( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (element(v0, v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & powerset(v2) = v4 & element(v1, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (net_str(v3, v2) = v1) | ~ (net_str(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (the_mapping(v3, v2) = v1) | ~ (the_mapping(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subrelstr(v3, v2) = v1) | ~ (subrelstr(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_mapping(v0, v2) = v3) | ~ (the_carrier(v0) = v1) | ? [v4] : (( ~ (v4 = 0) & one_sorted_str(v0) = v4) | ( ~ (v4 = 0) & net_str(v2, v0) = v4) | (the_carrier(v2) = v4 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ? [v4] : (( ~ (v4 = 0) & one_sorted_str(v0) = v4) | ( ~ (v4 = 0) & net_str(v2, v0) = v4) | (the_mapping(v0, v2) = v4 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | element(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (one_sorted_str(v0) = 0) | ~ (rel_str(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & net_str(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (rel_str(v1) = v2) | ~ (rel_str(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & subrelstr(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (in(v0, v1) = v2) | ? [v3] : ((v3 = 0 & empty(v1) = 0) | ( ~ (v3 = 0) & element(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_sorted_str(v2) = v1) | ~ (one_sorted_str(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (rel_str(v2) = v1) | ~ (rel_str(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_InternalRel(v2) = v1) | ~ (the_InternalRel(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2_as_subset(v2, v0, v1) = 0) | relation_of2(v2, v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2_as_subset(v2, v0, v1) = 0) | ? [v3] : ? [v4] : (cartesian_product2(v0, v1) = v3 & powerset(v3) = v4 & element(v2, v4) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & relation_empty_yielding(v2) = 0 & relation(v2) = 0) | ( ~ (v3 = 0) & relation_empty_yielding(v0) = v3) | ( ~ (v3 = 0) & relation(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & relation(v2) = 0 & function(v2) = 0) | ( ~ (v3 = 0) & relation(v0) = v3) | ( ~ (v3 = 0) & function(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ((v3 = 0 & relation(v2) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (net_str(v2, v0) = 0) | ~ (the_carrier(v0) = v1) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & one_sorted_str(v0) = v3) | (the_mapping(v0, v2) = v4 & the_carrier(v2) = v3 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (net_str(v1, v0) = 0) | ~ (subnetstr(v2, v0, v1) = 0) | ? [v3] : ((v3 = 0 & net_str(v2, v0) = 0) | ( ~ (v3 = 0) & one_sorted_str(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (the_mapping(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & v3 = 0 & quasi_total(v2, v4, v5) = 0 & relation_of2_as_subset(v2, v4, v5) = 0 & the_carrier(v1) = v4 & the_carrier(v0) = v5 & function(v2) = 0) | ( ~ (v3 = 0) & one_sorted_str(v0) = v3) | ( ~ (v3 = 0) & net_str(v1, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ((v3 = 0 & empty(v1) = 0) | (v3 = 0 & empty(v0) = 0) | ( ~ (v3 = 0) & empty(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (empty(v2) = 0) | ~ (in(v0, v1) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = v4)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & rel_str(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (relation(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & element(v3, v2) = 0 & empty(v3) = v4)) & ! [v0] : ! [v1] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | rel_str(v1) = 0) & ! [v0] : ! [v1] : ( ~ (net_str(v1, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & v3 = 0 & quasi_total(v2, v4, v5) = 0 & relation_of2_as_subset(v2, v4, v5) = 0 & the_mapping(v0, v1) = v2 & the_carrier(v1) = v4 & the_carrier(v0) = v5 & function(v2) = 0) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (net_str(v1, v0) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & subnetstr(v2, v0, v1) = 0) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & relation_of2_as_subset(v2, v1, v1) = 0 & the_InternalRel(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_InternalRel(v0) = v2 & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & subset(v4, v1) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_InternalRel(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v2) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v1) = v7))))) & ! [v3] : ( ~ (rel_str(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))))) & ! [v0] : ! [v1] : ( ~ (rel_str(v0) = 0) | ~ (subrelstr(v1, v0) = 0) | rel_str(v1) = 0) & ! [v0] : ! [v1] : ( ~ (the_InternalRel(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & relation_of2_as_subset(v1, v2, v2) = 0 & the_carrier(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (the_InternalRel(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_carrier(v0) = v2 & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & subset(v4, v2) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v5, v2) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v2) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_InternalRel(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v1) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v2) = v7))))) & ! [v3] : ( ~ (rel_str(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v5, v2) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v2) = v6))))))) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (powerset(v1) = v2 & element(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & relation(v0) = 0 & function(v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2) | ( ~ (v2 = 0) & function(v0) = v2) | ( ~ (v2 = 0) & empty(v0) = v2))) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & element(v2, v1) = 0 & empty(v2) = v4) | (v2 = 0 & empty(v0) = 0))) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0)) & ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ((v2 = 0 & empty(v1) = 0) | (v2 = 0 & in(v0, v1) = 0))) & ! [v0] : ! [v1] : ( ~ (in(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | element(v0, v1) = 0) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) & ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) & ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : net_str(v1, v0) = 0) & ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ( ~ (the_mapping(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & net_str(v2, v0) = v4) | (the_carrier(v2) = v4 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) & ! [v2] : ! [v3] : ( ~ (the_carrier(v2) = v3) | ? [v4] : (( ~ (v4 = 0) & net_str(v2, v0) = v4) | (the_mapping(v0, v2) = v4 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) & ! [v2] : ( ~ (net_str(v2, v0) = 0) | ? [v3] : ? [v4] : (the_mapping(v0, v2) = v4 & the_carrier(v2) = v3 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7)))))))) & ! [v0] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : ? [v2] : (relation_of2_as_subset(v1, v2, v2) = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v1)) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : ? [v2] : (the_carrier(v0) = v1 & the_InternalRel(v0) = v2 & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & subset(v4, v1) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_InternalRel(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v2) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v1) = v7))))) & ! [v3] : ( ~ (rel_str(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6)))))) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : subrelstr(v1, v0) = 0) & ! [v0] : ( ~ (relation(v0) = 0) | ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & function(v0) = 0) | ( ~ (v1 = 0) & function(v0) = v1) | ( ~ (v1 = 0) & empty(v0) = v1))) & ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & relation(v0) = 0) | ( ~ (v1 = 0) & relation(v0) = v1) | ( ~ (v1 = 0) & empty(v0) = v1))) & ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0) & ! [v0] : ( ~ (empty(v0) = 0) | function(v0) = 0) & ! [v0] : ( ~ (empty(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & relation(v0) = 0 & function(v0) = 0) | ( ~ (v1 = 0) & relation(v0) = v1) | ( ~ (v1 = 0) & function(v0) = v1))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : relation_dom_restr_as_relation_of(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : quasi_total(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : relation_of2(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : relation_of2_as_subset(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : subnetstr(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : relation_of2(v2, v0, v1) = 0 & ? [v0] : ? [v1] : ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0 & ? [v0] : ? [v1] : ? [v2] : relation_dom_restriction(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : net_str(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : the_mapping(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : subrelstr(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : cartesian_product2(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : element(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : in(v1, v0) = v2 & ? [v0] : ? [v1] : relation_empty_yielding(v0) = v1 & ? [v0] : ? [v1] : one_sorted_str(v0) = v1 & ? [v0] : ? [v1] : the_carrier(v0) = v1 & ? [v0] : ? [v1] : rel_str(v0) = v1 & ? [v0] : ? [v1] : the_InternalRel(v0) = v1 & ? [v0] : ? [v1] : one_to_one(v0) = v1 & ? [v0] : ? [v1] : powerset(v0) = v1 & ? [v0] : ? [v1] : element(v1, v0) = 0 & ? [v0] : ? [v1] : relation(v0) = v1 & ? [v0] : ? [v1] : function(v0) = v1 & ? [v0] : ? [v1] : empty(v0) = v1 % 46.77/16.61 | % 46.77/16.61 | Applying alpha-rule on (1) yields: % 46.77/16.61 | (2) empty(empty_set) = 0 % 46.77/16.61 | (3) ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : net_str(v1, v0) = 0) % 46.77/16.61 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) % 46.77/16.61 | (5) function(all_0_8_8) = 0 % 46.77/16.61 | (6) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0)) % 46.77/16.61 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2_as_subset(v2, v0, v1) = 0) | relation_of2(v2, v0, v1) = 0) % 46.77/16.61 | (8) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, v1) = 0) % 46.77/16.61 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cartesian_product2(v0, v1) = v3) | ~ (powerset(v3) = v4) | ~ (element(v2, v4) = 0) | relation(v2) = 0) % 46.77/16.61 | (10) ! [v0] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0) % 46.77/16.61 | (11) ? [v0] : ? [v1] : ? [v2] : cartesian_product2(v1, v0) = v2 % 46.77/16.61 | (12) one_sorted_str(all_0_16_16) = 0 % 46.77/16.61 | (13) one_sorted_str(all_0_1_1) = 0 % 46.77/16.61 | (14) function(all_0_10_10) = 0 % 46.77/16.61 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) % 46.77/16.61 | (16) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & element(v2, v1) = 0 & empty(v2) = v4) | (v2 = 0 & empty(v0) = 0))) % 46.77/16.61 | (17) one_to_one(all_0_8_8) = 0 % 46.77/16.61 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_of2_as_subset(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation_of2(v2, v0, v1) = v4)) % 46.77/16.61 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_of2(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4)) % 46.77/16.61 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) % 46.77/16.61 | (21) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_InternalRel(v0) = v2 & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & subset(v4, v1) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_InternalRel(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v2) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v1) = v7))))) & ! [v3] : ( ~ (rel_str(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))))) % 46.77/16.62 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) % 46.77/16.62 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ? [v4] : (( ~ (v4 = 0) & one_sorted_str(v0) = v4) | ( ~ (v4 = 0) & net_str(v2, v0) = v4) | (the_mapping(v0, v2) = v4 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) % 46.77/16.62 | (24) ? [v0] : ? [v1] : element(v1, v0) = 0 % 46.77/16.62 | (25) relation(all_0_8_8) = 0 % 46.77/16.62 | (26) relation(all_0_7_7) = 0 % 46.77/16.62 | (27) ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ( ~ (the_mapping(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & net_str(v2, v0) = v4) | (the_carrier(v2) = v4 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) & ! [v2] : ! [v3] : ( ~ (the_carrier(v2) = v3) | ? [v4] : (( ~ (v4 = 0) & net_str(v2, v0) = v4) | (the_mapping(v0, v2) = v4 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) & ! [v2] : ( ~ (net_str(v2, v0) = 0) | ? [v3] : ? [v4] : (the_mapping(v0, v2) = v4 & the_carrier(v2) = v3 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7)))))))) % 46.77/16.63 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ((v3 = 0 & relation(v2) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) % 46.77/16.63 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subnetstr(v4, v3, v2) = v1) | ~ (subnetstr(v4, v3, v2) = v0)) % 46.77/16.63 | (30) ! [v0] : ! [v1] : ( ~ (net_str(v1, v0) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & subnetstr(v2, v0, v1) = 0) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2))) % 46.77/16.63 | (31) ? [v0] : ? [v1] : one_sorted_str(v0) = v1 % 46.77/16.63 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0)) % 46.77/16.63 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2(v4, v3, v2) = v1) | ~ (relation_of2(v4, v3, v2) = v0)) % 46.77/16.63 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4)) % 46.77/16.63 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (relation_dom_restr_as_relation_of(v5, v4, v3, v2) = v1) | ~ (relation_dom_restr_as_relation_of(v5, v4, v3, v2) = v0)) % 46.77/16.63 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_sorted_str(v2) = v1) | ~ (one_sorted_str(v2) = v0)) % 46.77/16.63 | (37) ? [v0] : ? [v1] : ? [v2] : relation_of2(v2, v0, v1) = 0 % 46.77/16.63 | (38) ? [v0] : ? [v1] : ? [v2] : ? [v3] : quasi_total(v2, v1, v0) = v3 % 46.77/16.63 | (39) relation(all_0_10_10) = 0 % 46.77/16.63 | (40) ? [v0] : ? [v1] : function(v0) = v1 % 46.77/16.63 | (41) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) % 46.77/16.63 | (42) relation(all_0_5_5) = 0 % 46.77/16.63 | (43) ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) % 46.77/16.63 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | element(v0, v2) = 0) % 46.77/16.63 | (45) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : relation_dom_restr_as_relation_of(v3, v2, v1, v0) = v4 % 46.77/16.63 | (46) ? [v0] : ? [v1] : ? [v2] : ? [v3] : relation_of2(v2, v1, v0) = v3 % 46.77/16.63 | (47) ? [v0] : ? [v1] : ? [v2] : ? [v3] : subnetstr(v2, v1, v0) = v3 % 46.77/16.63 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) % 46.77/16.63 | (49) ? [v0] : ? [v1] : relation_empty_yielding(v0) = v1 % 46.77/16.63 | (50) ? [v0] : ? [v1] : the_InternalRel(v0) = v1 % 46.77/16.63 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) % 46.77/16.63 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (quasi_total(v4, v3, v2) = v1) | ~ (quasi_total(v4, v3, v2) = v0)) % 46.77/16.63 | (53) ! [v0] : ! [v1] : ( ~ (net_str(v1, v0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & v3 = 0 & quasi_total(v2, v4, v5) = 0 & relation_of2_as_subset(v2, v4, v5) = 0 & the_mapping(v0, v1) = v2 & the_carrier(v1) = v4 & the_carrier(v0) = v5 & function(v2) = 0) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2))) % 46.77/16.63 | (54) ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 % 46.77/16.63 | (55) ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & relation(v0) = 0 & function(v0) = 0) | ( ~ (v2 = 0) & relation(v0) = v2) | ( ~ (v2 = 0) & function(v0) = v2) | ( ~ (v2 = 0) & empty(v0) = v2))) % 46.77/16.63 | (56) ~ (all_0_6_6 = 0) % 46.77/16.63 | (57) ! [v0] : ( ~ (empty(v0) = 0) | function(v0) = 0) % 46.77/16.63 | (58) ! [v0] : ! [v1] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | rel_str(v1) = 0) % 46.77/16.63 | (59) ? [v0] : ? [v1] : ? [v2] : net_str(v1, v0) = v2 % 46.77/16.63 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5)) % 46.77/16.63 | (61) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) % 46.77/16.63 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (rel_str(v2) = v1) | ~ (rel_str(v2) = v0)) % 46.77/16.63 | (63) ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0) % 46.77/16.63 | (64) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) % 46.77/16.63 | (65) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (rel_str(v1) = v2) | ~ (rel_str(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & subrelstr(v1, v0) = v3)) % 46.77/16.63 | (66) relation(all_0_3_3) = 0 % 46.77/16.63 | (67) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & relation(v2) = 0 & function(v2) = 0) | ( ~ (v3 = 0) & relation(v0) = v3) | ( ~ (v3 = 0) & function(v0) = v3))) % 46.77/16.63 | (68) empty(all_0_7_7) = all_0_6_6 % 46.77/16.63 | (69) ! [v0] : ! [v1] : ! [v2] : ( ~ (empty(v2) = 0) | ~ (in(v0, v1) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = v4)) % 46.77/16.63 | (70) ! [v0] : ( ~ (function(v0) = 0) | ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & relation(v0) = 0) | ( ~ (v1 = 0) & relation(v0) = v1) | ( ~ (v1 = 0) & empty(v0) = v1))) % 46.77/16.63 | (71) relation_empty_yielding(all_0_9_9) = 0 % 46.77/16.63 | (72) ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : subrelstr(v1, v0) = 0) % 46.77/16.63 | (73) relation(empty_set) = 0 % 46.77/16.63 | (74) relation_empty_yielding(all_0_10_10) = 0 % 46.77/16.63 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (net_str(v3, v2) = v1) | ~ (net_str(v3, v2) = v0)) % 46.77/16.63 | (76) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & relation_of2_as_subset(v2, v1, v1) = 0 & the_InternalRel(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2))) % 46.77/16.63 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (the_mapping(v3, v2) = v1) | ~ (the_mapping(v3, v2) = v0)) % 46.77/16.63 | (78) ? [v0] : ? [v1] : one_to_one(v0) = v1 % 46.77/16.63 | (79) ? [v0] : ? [v1] : powerset(v0) = v1 % 46.77/16.63 | (80) relation_empty_yielding(empty_set) = 0 % 46.77/16.63 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom_restr_as_relation_of(v0, v1, v2, v3) = v4) | ? [v5] : ((v5 = 0 & relation_of2_as_subset(v4, v0, v1) = 0) | ( ~ (v5 = 0) & relation_of2(v2, v0, v1) = v5))) % 46.77/16.63 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0)) % 46.77/16.63 | (83) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : ((v4 = 0 & v3 = 0 & relation_empty_yielding(v2) = 0 & relation(v2) = 0) | ( ~ (v3 = 0) & relation_empty_yielding(v0) = v3) | ( ~ (v3 = 0) & relation(v0) = v3))) % 46.77/16.63 | (84) ! [v0] : ! [v1] : (v1 = 0 | ~ (relation(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) % 46.77/16.63 | (85) ! [v0] : ! [v1] : ! [v2] : ( ~ (net_str(v2, v0) = 0) | ~ (the_carrier(v0) = v1) | ? [v3] : ? [v4] : (( ~ (v3 = 0) & one_sorted_str(v0) = v3) | (the_mapping(v0, v2) = v4 & the_carrier(v2) = v3 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) % 46.77/16.64 | (86) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) % 46.77/16.64 | (87) ! [v0] : ( ~ (relation(v0) = 0) | ? [v1] : ? [v2] : ((v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & function(v0) = 0) | ( ~ (v1 = 0) & function(v0) = v1) | ( ~ (v1 = 0) & empty(v0) = v1))) % 46.77/16.64 | (88) ! [v0] : ! [v1] : ! [v2] : ( ~ (the_mapping(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ((v7 = 0 & v6 = 0 & v3 = 0 & quasi_total(v2, v4, v5) = 0 & relation_of2_as_subset(v2, v4, v5) = 0 & the_carrier(v1) = v4 & the_carrier(v0) = v5 & function(v2) = 0) | ( ~ (v3 = 0) & one_sorted_str(v0) = v3) | ( ~ (v3 = 0) & net_str(v1, v0) = v3))) % 46.77/16.64 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_InternalRel(v2) = v1) | ~ (the_InternalRel(v2) = v0)) % 46.77/16.64 | (90) subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0 % 46.77/16.64 | (91) ~ (all_0_11_11 = 0) % 46.77/16.64 | (92) ? [v0] : ? [v1] : empty(v0) = v1 % 46.77/16.64 | (93) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2_as_subset(v2, v0, v1) = 0) | ? [v3] : ? [v4] : (cartesian_product2(v0, v1) = v3 & powerset(v3) = v4 & element(v2, v4) = 0)) % 46.77/16.64 | (94) rel_str(all_0_0_0) = 0 % 46.77/16.64 | (95) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & element(v3, v2) = 0 & empty(v3) = v4)) % 46.77/16.64 | (96) ? [v0] : ? [v1] : ? [v2] : ? [v3] : relation_of2_as_subset(v2, v1, v0) = v3 % 46.77/16.64 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0)) % 46.77/16.64 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (element(v0, v2) = v3) | ~ (in(v0, v1) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & powerset(v2) = v4 & element(v1, v4) = v5)) % 46.77/16.64 | (99) relation_empty_yielding(all_0_3_3) = 0 % 46.77/16.64 | (100) ? [v0] : ? [v1] : ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0 % 46.77/16.64 | (101) ! [v0] : ! [v1] : ( ~ (the_InternalRel(v0) = v1) | ? [v2] : ? [v3] : ((v3 = 0 & relation_of2_as_subset(v1, v2, v2) = 0 & the_carrier(v0) = v2) | ( ~ (v2 = 0) & rel_str(v0) = v2))) % 46.77/16.64 | (102) ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & rel_str(v0) = v2)) % 46.77/16.64 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (cartesian_product2(v0, v1) = v3) | ~ (powerset(v3) = v4) | ~ (element(v2, v4) = v5) | ? [v6] : ( ~ (v6 = 0) & relation_of2_as_subset(v2, v0, v1) = v6)) % 46.77/16.64 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) % 46.77/16.64 | (105) the_carrier(all_0_15_15) = all_0_14_14 % 46.77/16.64 | (106) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (powerset(v1) = v2 & element(v0, v2) = 0)) % 46.77/16.64 | (107) function(all_0_3_3) = 0 % 46.77/16.64 | (108) ! [v0] : ( ~ (empty(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & one_to_one(v0) = 0 & relation(v0) = 0 & function(v0) = 0) | ( ~ (v1 = 0) & relation(v0) = v1) | ( ~ (v1 = 0) & function(v0) = v1))) % 46.77/16.64 | (109) ? [v0] : ? [v1] : rel_str(v0) = v1 % 46.77/16.64 | (110) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | element(v0, v1) = 0) % 46.77/16.64 | (111) ? [v0] : ? [v1] : ? [v2] : relation_dom_restriction(v1, v0) = v2 % 46.77/16.64 | (112) relation(all_0_4_4) = 0 % 46.77/16.64 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subrelstr(v3, v2) = v1) | ~ (subrelstr(v3, v2) = v0)) % 46.77/16.64 | (114) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) % 46.77/16.64 | (115) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0, v3) = v4)) % 46.77/16.64 | (116) ? [v0] : ? [v1] : ? [v2] : element(v1, v0) = v2 % 46.77/16.64 | (117) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (one_sorted_str(v0) = 0) | ~ (rel_str(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & net_str(v1, v0) = v3)) % 46.77/16.64 | (118) function(all_0_2_2) = 0 % 46.77/16.64 | (119) ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : ? [v2] : (the_carrier(v0) = v1 & the_InternalRel(v0) = v2 & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & subset(v4, v1) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_InternalRel(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v2) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v1) = v7))))) & ! [v3] : ( ~ (rel_str(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v2) = 0 & subset(v5, v1) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v2) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v1) = v6)))))) % 46.77/16.64 | (120) ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ((v2 = 0 & empty(v1) = 0) | (v2 = 0 & in(v0, v1) = 0))) % 46.77/16.64 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (net_str(v2, v0) = v3) | ~ (net_str(v1, v0) = 0) | ? [v4] : (( ~ (v4 = 0) & one_sorted_str(v0) = v4) | ( ~ (v4 = 0) & subnetstr(v2, v0, v1) = v4))) % 46.77/16.64 | (122) ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : ? [v2] : (relation_of2_as_subset(v1, v2, v2) = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v1)) % 46.77/16.64 | (123) ? [v0] : ? [v1] : the_carrier(v0) = v1 % 46.77/16.64 | (124) ? [v0] : ? [v1] : ? [v2] : in(v1, v0) = v2 % 46.77/16.64 | (125) ! [v0] : ! [v1] : ( ~ (in(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2)) % 46.77/16.64 | (126) ? [v0] : ? [v1] : ? [v2] : subrelstr(v1, v0) = v2 % 46.77/16.64 | (127) the_carrier(all_0_13_13) = all_0_12_12 % 46.77/16.64 | (128) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (in(v0, v1) = v2) | ? [v3] : ((v3 = 0 & empty(v1) = 0) | ( ~ (v3 = 0) & element(v0, v1) = v3))) % 46.77/16.64 | (129) ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ((v3 = 0 & empty(v1) = 0) | (v3 = 0 & empty(v0) = 0) | ( ~ (v3 = 0) & empty(v2) = v3))) % 46.77/16.64 | (130) ! [v0] : ! [v1] : ! [v2] : ( ~ (net_str(v1, v0) = 0) | ~ (subnetstr(v2, v0, v1) = 0) | ? [v3] : ((v3 = 0 & net_str(v2, v0) = 0) | ( ~ (v3 = 0) & one_sorted_str(v0) = v3))) % 46.77/16.64 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (the_mapping(v0, v2) = v3) | ~ (the_carrier(v0) = v1) | ? [v4] : (( ~ (v4 = 0) & one_sorted_str(v0) = v4) | ( ~ (v4 = 0) & net_str(v2, v0) = v4) | (the_carrier(v2) = v4 & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (the_mapping(v0, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v6 & v8 = 0 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v6 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (the_carrier(v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (((v10 = v9 & v8 = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v9) & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v10) | ( ~ (v8 = 0) & subrelstr(v5, v2) = v8))))) & ! [v5] : ! [v6] : ( ~ (subrelstr(v5, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8 & the_carrier(v5) = v9 & subrelstr(v5, v2) = 0) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10 & the_carrier(v5) = v9) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) % 46.77/16.65 | (132) ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) % 46.77/16.65 | (133) relation(all_0_9_9) = 0 % 46.77/16.65 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_dom_restr_as_relation_of(v0, v1, v2, v3) = v4) | ? [v5] : ((v5 = v4 & relation_dom_restriction(v2, v3) = v4) | ( ~ (v5 = 0) & relation_of2(v2, v0, v1) = v5))) % 46.77/16.65 | (135) subset(all_0_12_12, all_0_14_14) = all_0_11_11 % 46.77/16.65 | (136) relation(all_0_2_2) = 0 % 46.77/16.65 | (137) function(all_0_5_5) = 0 % 46.77/16.65 | (138) ? [v0] : ? [v1] : ? [v2] : the_mapping(v1, v0) = v2 % 46.77/16.65 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2_as_subset(v4, v3, v2) = v1) | ~ (relation_of2_as_subset(v4, v3, v2) = v0)) % 46.77/16.65 | (140) net_str(all_0_15_15, all_0_16_16) = 0 % 46.77/16.65 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) % 46.77/16.65 | (142) ! [v0] : ! [v1] : ( ~ (the_InternalRel(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (the_carrier(v0) = v2 & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v6 = 0 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v4, v2) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & subset(v4, v2) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (( ~ (v4 = 0) | (v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v5, v2) = 0)) & (v4 = 0 | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v2) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_InternalRel(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & rel_str(v3) = v5) | (((v8 = 0 & v7 = 0 & the_carrier(v3) = v6 & subset(v6, v2) = 0 & subset(v4, v1) = 0) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)) & ((v5 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & subset(v4, v1) = v8) | ( ~ (v7 = 0) & the_carrier(v3) = v6 & subset(v6, v2) = v7))))) & ! [v3] : ( ~ (rel_str(v3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = 0 & v6 = 0 & the_carrier(v3) = v5 & the_InternalRel(v3) = v7 & subset(v7, v1) = 0 & subset(v5, v2) = 0) | ( ~ (v4 = 0) & subrelstr(v3, v0) = v4)) & ((v4 = 0 & subrelstr(v3, v0) = 0) | ( ~ (v8 = 0) & the_InternalRel(v3) = v7 & subset(v7, v1) = v8) | ( ~ (v6 = 0) & the_carrier(v3) = v5 & subset(v5, v2) = v6))))))) % 46.77/16.65 | (143) empty(all_0_5_5) = 0 % 46.77/16.65 | (144) ? [v0] : ? [v1] : relation(v0) = v1 % 46.77/16.65 | (145) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0) % 46.77/16.65 | (146) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) % 46.77/16.65 | (147) ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) % 46.77/16.65 | (148) ! [v0] : ! [v1] : ( ~ (rel_str(v0) = 0) | ~ (subrelstr(v1, v0) = 0) | rel_str(v1) = 0) % 46.77/16.65 | (149) empty(all_0_4_4) = 0 % 46.77/16.65 | (150) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) % 46.77/16.65 | % 46.77/16.65 | Instantiating formula (27) with all_0_16_16 and discharging atoms one_sorted_str(all_0_16_16) = 0, yields: % 46.77/16.65 | (151) ? [v0] : (the_carrier(all_0_16_16) = v0 & ! [v1] : ! [v2] : ( ~ (the_mapping(all_0_16_16, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & net_str(v1, all_0_16_16) = v3) | (the_carrier(v1) = v3 & ! [v4] : ! [v5] : ( ~ (subnetstr(v4, all_0_16_16, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (( ~ (v5 = 0) | (v9 = v7 & v6 = 0 & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v7 & the_carrier(v4) = v8 & subrelstr(v4, v1) = 0)) & (v5 = 0 | ( ~ (v9 = v7) & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v9 & the_carrier(v4) = v8) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))) & ! [v4] : ! [v5] : ( ~ (the_mapping(all_0_16_16, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (((v9 = v5 & v7 = 0 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v5 & the_carrier(v4) = v8 & subrelstr(v4, v1) = 0) | ( ~ (v6 = 0) & subnetstr(v4, all_0_16_16, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v5) & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v9 & the_carrier(v4) = v8) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ! [v5] : ( ~ (the_carrier(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (((v9 = v8 & v7 = 0 & the_mapping(all_0_16_16, v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v5) = v8 & subrelstr(v4, v1) = 0) | ( ~ (v6 = 0) & subnetstr(v4, all_0_16_16, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v8) & the_mapping(all_0_16_16, v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v5) = v9) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ! [v5] : ( ~ (subrelstr(v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (( ~ (v5 = 0) | (v6 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v9 & the_carrier(v4) = v8)) & ((v9 = v7 & v5 = 0 & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v7 & the_carrier(v4) = v8) | ( ~ (v6 = 0) & subnetstr(v4, all_0_16_16, v1) = v6))))) & ! [v4] : ( ~ (net_str(v4, all_0_16_16) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (((v9 = v7 & v6 = 0 & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v7 & the_carrier(v4) = v8 & subrelstr(v4, v1) = 0) | ( ~ (v5 = 0) & subnetstr(v4, all_0_16_16, v1) = v5)) & ((v5 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v9 & the_carrier(v4) = v8) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))))) & ! [v1] : ! [v2] : ( ~ (the_carrier(v1) = v2) | ? [v3] : (( ~ (v3 = 0) & net_str(v1, all_0_16_16) = v3) | (the_mapping(all_0_16_16, v1) = v3 & ! [v4] : ! [v5] : ( ~ (subnetstr(v4, all_0_16_16, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (( ~ (v5 = 0) | (v9 = v7 & v6 = 0 & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7 & the_carrier(v4) = v8 & subrelstr(v4, v1) = 0)) & (v5 = 0 | ( ~ (v9 = v7) & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9 & the_carrier(v4) = v8) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))) & ! [v4] : ! [v5] : ( ~ (the_mapping(all_0_16_16, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (((v9 = v5 & v7 = 0 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v5 & the_carrier(v4) = v8 & subrelstr(v4, v1) = 0) | ( ~ (v6 = 0) & subnetstr(v4, all_0_16_16, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v5) & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9 & the_carrier(v4) = v8) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ! [v5] : ( ~ (the_carrier(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (((v9 = v8 & v7 = 0 & the_mapping(all_0_16_16, v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v5) = v8 & subrelstr(v4, v1) = 0) | ( ~ (v6 = 0) & subnetstr(v4, all_0_16_16, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v8) & the_mapping(all_0_16_16, v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v5) = v9) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ! [v5] : ( ~ (subrelstr(v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (( ~ (v5 = 0) | (v6 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9 & the_carrier(v4) = v8)) & ((v9 = v7 & v5 = 0 & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7 & the_carrier(v4) = v8) | ( ~ (v6 = 0) & subnetstr(v4, all_0_16_16, v1) = v6))))) & ! [v4] : ( ~ (net_str(v4, all_0_16_16) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (((v9 = v7 & v6 = 0 & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7 & the_carrier(v4) = v8 & subrelstr(v4, v1) = 0) | ( ~ (v5 = 0) & subnetstr(v4, all_0_16_16, v1) = v5)) & ((v5 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9 & the_carrier(v4) = v8) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))))) & ! [v1] : ( ~ (net_str(v1, all_0_16_16) = 0) | ? [v2] : ? [v3] : (the_mapping(all_0_16_16, v1) = v3 & the_carrier(v1) = v2 & ! [v4] : ! [v5] : ( ~ (subnetstr(v4, all_0_16_16, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (( ~ (v5 = 0) | (v9 = v7 & v6 = 0 & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7 & the_carrier(v4) = v8 & subrelstr(v4, v1) = 0)) & (v5 = 0 | ( ~ (v9 = v7) & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9 & the_carrier(v4) = v8) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))) & ! [v4] : ! [v5] : ( ~ (the_mapping(all_0_16_16, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (((v9 = v5 & v7 = 0 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v5 & the_carrier(v4) = v8 & subrelstr(v4, v1) = 0) | ( ~ (v6 = 0) & subnetstr(v4, all_0_16_16, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v5) & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9 & the_carrier(v4) = v8) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ! [v5] : ( ~ (the_carrier(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (((v9 = v8 & v7 = 0 & the_mapping(all_0_16_16, v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v5) = v8 & subrelstr(v4, v1) = 0) | ( ~ (v6 = 0) & subnetstr(v4, all_0_16_16, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v8) & the_mapping(all_0_16_16, v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v5) = v9) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ! [v5] : ( ~ (subrelstr(v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_16_16) = v6) | (( ~ (v5 = 0) | (v6 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9 & the_carrier(v4) = v8)) & ((v9 = v7 & v5 = 0 & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7 & the_carrier(v4) = v8) | ( ~ (v6 = 0) & subnetstr(v4, all_0_16_16, v1) = v6))))) & ! [v4] : ( ~ (net_str(v4, all_0_16_16) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (((v9 = v7 & v6 = 0 & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7 & the_carrier(v4) = v8 & subrelstr(v4, v1) = 0) | ( ~ (v5 = 0) & subnetstr(v4, all_0_16_16, v1) = v5)) & ((v5 = 0 & subnetstr(v4, all_0_16_16, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_16_16, v4) = v7 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9 & the_carrier(v4) = v8) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))))) % 46.77/16.66 | % 46.77/16.66 | Instantiating formula (58) with all_0_15_15, all_0_16_16 and discharging atoms one_sorted_str(all_0_16_16) = 0, net_str(all_0_15_15, all_0_16_16) = 0, yields: % 46.77/16.66 | (152) rel_str(all_0_15_15) = 0 % 46.77/16.66 | % 46.77/16.66 | Instantiating formula (130) with all_0_13_13, all_0_15_15, all_0_16_16 and discharging atoms net_str(all_0_15_15, all_0_16_16) = 0, subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0, yields: % 46.77/16.66 | (153) ? [v0] : ((v0 = 0 & net_str(all_0_13_13, all_0_16_16) = 0) | ( ~ (v0 = 0) & one_sorted_str(all_0_16_16) = v0)) % 46.77/16.66 | % 46.77/16.66 | Instantiating formula (21) with all_0_14_14, all_0_15_15 and discharging atoms the_carrier(all_0_15_15) = all_0_14_14, yields: % 46.77/16.66 | (154) ? [v0] : (( ~ (v0 = 0) & rel_str(all_0_15_15) = v0) | (the_InternalRel(all_0_15_15) = v0 & ! [v1] : ! [v2] : ( ~ (the_carrier(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v3 = 0) & rel_str(v1) = v3) | (((v6 = 0 & v4 = 0 & the_InternalRel(v1) = v5 & subset(v5, v0) = 0 & subset(v2, all_0_14_14) = 0) | ( ~ (v3 = 0) & subrelstr(v1, all_0_15_15) = v3)) & ((v3 = 0 & subrelstr(v1, all_0_15_15) = 0) | ( ~ (v6 = 0) & the_InternalRel(v1) = v5 & subset(v5, v0) = v6) | ( ~ (v4 = 0) & subset(v2, all_0_14_14) = v4))))) & ! [v1] : ! [v2] : ( ~ (subrelstr(v1, all_0_15_15) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v3 = 0) & rel_str(v1) = v3) | (( ~ (v2 = 0) | (v6 = 0 & v4 = 0 & the_carrier(v1) = v3 & the_InternalRel(v1) = v5 & subset(v5, v0) = 0 & subset(v3, all_0_14_14) = 0)) & (v2 = 0 | ( ~ (v6 = 0) & the_InternalRel(v1) = v5 & subset(v5, v0) = v6) | ( ~ (v4 = 0) & the_carrier(v1) = v3 & subset(v3, all_0_14_14) = v4))))) & ! [v1] : ! [v2] : ( ~ (the_InternalRel(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v3 = 0) & rel_str(v1) = v3) | (((v6 = 0 & v5 = 0 & the_carrier(v1) = v4 & subset(v4, all_0_14_14) = 0 & subset(v2, v0) = 0) | ( ~ (v3 = 0) & subrelstr(v1, all_0_15_15) = v3)) & ((v3 = 0 & subrelstr(v1, all_0_15_15) = 0) | ( ~ (v6 = 0) & subset(v2, v0) = v6) | ( ~ (v5 = 0) & the_carrier(v1) = v4 & subset(v4, all_0_14_14) = v5))))) & ! [v1] : ( ~ (rel_str(v1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (((v6 = 0 & v4 = 0 & the_carrier(v1) = v3 & the_InternalRel(v1) = v5 & subset(v5, v0) = 0 & subset(v3, all_0_14_14) = 0) | ( ~ (v2 = 0) & subrelstr(v1, all_0_15_15) = v2)) & ((v2 = 0 & subrelstr(v1, all_0_15_15) = 0) | ( ~ (v6 = 0) & the_InternalRel(v1) = v5 & subset(v5, v0) = v6) | ( ~ (v4 = 0) & the_carrier(v1) = v3 & subset(v3, all_0_14_14) = v4)))))) % 46.77/16.66 | % 46.77/16.66 | Instantiating formula (10) with all_0_0_0 and discharging atoms rel_str(all_0_0_0) = 0, yields: % 46.77/16.66 | (155) one_sorted_str(all_0_0_0) = 0 % 46.77/16.66 | % 46.77/16.66 | Instantiating formula (115) with all_0_11_11, all_0_14_14, all_0_12_12 and discharging atoms subset(all_0_12_12, all_0_14_14) = all_0_11_11, yields: % 46.77/16.66 | (156) all_0_11_11 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & powerset(all_0_14_14) = v0 & element(all_0_12_12, v0) = v1) % 46.77/16.66 | % 46.77/16.66 | Instantiating (153) with all_72_0_102 yields: % 46.77/16.66 | (157) (all_72_0_102 = 0 & net_str(all_0_13_13, all_0_16_16) = 0) | ( ~ (all_72_0_102 = 0) & one_sorted_str(all_0_16_16) = all_72_0_102) % 46.77/16.66 | % 46.77/16.66 | Instantiating (151) with all_90_0_127 yields: % 46.77/16.66 | (158) the_carrier(all_0_16_16) = all_90_0_127 & ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_16_16, v0) = v1) | ? [v2] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (the_carrier(v0) = v2 & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_16_16, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_16_16, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v4 & v6 = 0 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v4 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v4) & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v7 & v6 = 0 & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v4) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v8 & the_carrier(v3) = v7)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v6 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5))))) & ! [v3] : ( ~ (net_str(v3, all_0_16_16) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v4 = 0) & subnetstr(v3, all_0_16_16, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))))) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (the_mapping(all_0_16_16, v0) = v2 & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_16_16, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_16_16, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v4 & v6 = 0 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v4 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v4) & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v7 & v6 = 0 & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v4) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5))))) & ! [v3] : ( ~ (net_str(v3, all_0_16_16) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v4 = 0) & subnetstr(v3, all_0_16_16, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))))) & ! [v0] : ( ~ (net_str(v0, all_0_16_16) = 0) | ? [v1] : ? [v2] : (the_mapping(all_0_16_16, v0) = v2 & the_carrier(v0) = v1 & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_16_16, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_16_16, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v4 & v6 = 0 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v4 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v4) & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v7 & v6 = 0 & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v4) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5))))) & ! [v3] : ( ~ (net_str(v3, all_0_16_16) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v4 = 0) & subnetstr(v3, all_0_16_16, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)))))) % 46.77/16.67 | % 46.77/16.67 | Applying alpha-rule on (158) yields: % 46.77/16.67 | (159) the_carrier(all_0_16_16) = all_90_0_127 % 46.77/16.67 | (160) ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_16_16, v0) = v1) | ? [v2] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (the_carrier(v0) = v2 & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_16_16, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_16_16, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v4 & v6 = 0 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v4 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v4) & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v7 & v6 = 0 & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v4) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v8 & the_carrier(v3) = v7)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v6 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5))))) & ! [v3] : ( ~ (net_str(v3, all_0_16_16) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v4 = 0) & subnetstr(v3, all_0_16_16, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v2, all_90_0_127, v1, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))))) % 46.77/16.67 | (161) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (the_mapping(all_0_16_16, v0) = v2 & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_16_16, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_16_16, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v4 & v6 = 0 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v4 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v4) & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v7 & v6 = 0 & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v4) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5))))) & ! [v3] : ( ~ (net_str(v3, all_0_16_16) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v4 = 0) & subnetstr(v3, all_0_16_16, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))))) % 46.77/16.67 | (162) ! [v0] : ( ~ (net_str(v0, all_0_16_16) = 0) | ? [v1] : ? [v2] : (the_mapping(all_0_16_16, v0) = v2 & the_carrier(v0) = v1 & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_16_16, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_16_16, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v4 & v6 = 0 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v4 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v4) & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (((v8 = v7 & v6 = 0 & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v4) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_16_16, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_16_16) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_16_16, v0) = v5))))) & ! [v3] : ( ~ (net_str(v3, all_0_16_16) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v6 & the_carrier(v3) = v7 & subrelstr(v3, v0) = 0) | ( ~ (v4 = 0) & subnetstr(v3, all_0_16_16, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_16_16, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_16_16, v3) = v6 & relation_dom_restr_as_relation_of(v1, all_90_0_127, v2, v7) = v8 & the_carrier(v3) = v7) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)))))) % 46.77/16.67 | % 46.77/16.67 | Instantiating formula (162) with all_0_15_15 and discharging atoms net_str(all_0_15_15, all_0_16_16) = 0, yields: % 46.77/16.68 | (163) ? [v0] : ? [v1] : (the_mapping(all_0_16_16, all_0_15_15) = v1 & the_carrier(all_0_15_15) = v0 & ! [v2] : ! [v3] : ( ~ (subnetstr(v2, all_0_16_16, all_0_15_15) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v4 = 0) & net_str(v2, all_0_16_16) = v4) | (( ~ (v3 = 0) | (v7 = v5 & v4 = 0 & the_mapping(all_0_16_16, v2) = v5 & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v6) = v5 & the_carrier(v2) = v6 & subrelstr(v2, all_0_15_15) = 0)) & (v3 = 0 | ( ~ (v7 = v5) & the_mapping(all_0_16_16, v2) = v5 & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v6) = v7 & the_carrier(v2) = v6) | ( ~ (v4 = 0) & subrelstr(v2, all_0_15_15) = v4))))) & ! [v2] : ! [v3] : ( ~ (the_mapping(all_0_16_16, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v4 = 0) & net_str(v2, all_0_16_16) = v4) | (((v7 = v3 & v5 = 0 & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v6) = v3 & the_carrier(v2) = v6 & subrelstr(v2, all_0_15_15) = 0) | ( ~ (v4 = 0) & subnetstr(v2, all_0_16_16, all_0_15_15) = v4)) & ((v4 = 0 & subnetstr(v2, all_0_16_16, all_0_15_15) = 0) | ( ~ (v7 = v3) & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v6) = v7 & the_carrier(v2) = v6) | ( ~ (v5 = 0) & subrelstr(v2, all_0_15_15) = v5))))) & ! [v2] : ! [v3] : ( ~ (the_carrier(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v4 = 0) & net_str(v2, all_0_16_16) = v4) | (((v7 = v6 & v5 = 0 & the_mapping(all_0_16_16, v2) = v6 & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v3) = v6 & subrelstr(v2, all_0_15_15) = 0) | ( ~ (v4 = 0) & subnetstr(v2, all_0_16_16, all_0_15_15) = v4)) & ((v4 = 0 & subnetstr(v2, all_0_16_16, all_0_15_15) = 0) | ( ~ (v7 = v6) & the_mapping(all_0_16_16, v2) = v6 & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v3) = v7) | ( ~ (v5 = 0) & subrelstr(v2, all_0_15_15) = v5))))) & ! [v2] : ! [v3] : ( ~ (subrelstr(v2, all_0_15_15) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v4 = 0) & net_str(v2, all_0_16_16) = v4) | (( ~ (v3 = 0) | (v4 = 0 & subnetstr(v2, all_0_16_16, all_0_15_15) = 0) | ( ~ (v7 = v5) & the_mapping(all_0_16_16, v2) = v5 & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v6) = v7 & the_carrier(v2) = v6)) & ((v7 = v5 & v3 = 0 & the_mapping(all_0_16_16, v2) = v5 & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v6) = v5 & the_carrier(v2) = v6) | ( ~ (v4 = 0) & subnetstr(v2, all_0_16_16, all_0_15_15) = v4))))) & ! [v2] : ( ~ (net_str(v2, all_0_16_16) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (((v7 = v5 & v4 = 0 & the_mapping(all_0_16_16, v2) = v5 & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v6) = v5 & the_carrier(v2) = v6 & subrelstr(v2, all_0_15_15) = 0) | ( ~ (v3 = 0) & subnetstr(v2, all_0_16_16, all_0_15_15) = v3)) & ((v3 = 0 & subnetstr(v2, all_0_16_16, all_0_15_15) = 0) | ( ~ (v7 = v5) & the_mapping(all_0_16_16, v2) = v5 & relation_dom_restr_as_relation_of(v0, all_90_0_127, v1, v6) = v7 & the_carrier(v2) = v6) | ( ~ (v4 = 0) & subrelstr(v2, all_0_15_15) = v4))))) % 47.20/16.68 | % 47.20/16.68 | Instantiating formula (161) with all_0_14_14, all_0_15_15 and discharging atoms the_carrier(all_0_15_15) = all_0_14_14, yields: % 47.20/16.68 | (164) ? [v0] : (( ~ (v0 = 0) & net_str(all_0_15_15, all_0_16_16) = v0) | (the_mapping(all_0_16_16, all_0_15_15) = v0 & ! [v1] : ! [v2] : ( ~ (subnetstr(v1, all_0_16_16, all_0_15_15) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v3 = 0) & net_str(v1, all_0_16_16) = v3) | (( ~ (v2 = 0) | (v6 = v4 & v3 = 0 & the_mapping(all_0_16_16, v1) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v5) = v4 & the_carrier(v1) = v5 & subrelstr(v1, all_0_15_15) = 0)) & (v2 = 0 | ( ~ (v6 = v4) & the_mapping(all_0_16_16, v1) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v5) = v6 & the_carrier(v1) = v5) | ( ~ (v3 = 0) & subrelstr(v1, all_0_15_15) = v3))))) & ! [v1] : ! [v2] : ( ~ (the_mapping(all_0_16_16, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v3 = 0) & net_str(v1, all_0_16_16) = v3) | (((v6 = v2 & v4 = 0 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v5) = v2 & the_carrier(v1) = v5 & subrelstr(v1, all_0_15_15) = 0) | ( ~ (v3 = 0) & subnetstr(v1, all_0_16_16, all_0_15_15) = v3)) & ((v3 = 0 & subnetstr(v1, all_0_16_16, all_0_15_15) = 0) | ( ~ (v6 = v2) & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v5) = v6 & the_carrier(v1) = v5) | ( ~ (v4 = 0) & subrelstr(v1, all_0_15_15) = v4))))) & ! [v1] : ! [v2] : ( ~ (the_carrier(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v3 = 0) & net_str(v1, all_0_16_16) = v3) | (((v6 = v5 & v4 = 0 & the_mapping(all_0_16_16, v1) = v5 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v2) = v5 & subrelstr(v1, all_0_15_15) = 0) | ( ~ (v3 = 0) & subnetstr(v1, all_0_16_16, all_0_15_15) = v3)) & ((v3 = 0 & subnetstr(v1, all_0_16_16, all_0_15_15) = 0) | ( ~ (v6 = v5) & the_mapping(all_0_16_16, v1) = v5 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v2) = v6) | ( ~ (v4 = 0) & subrelstr(v1, all_0_15_15) = v4))))) & ! [v1] : ! [v2] : ( ~ (subrelstr(v1, all_0_15_15) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (( ~ (v3 = 0) & net_str(v1, all_0_16_16) = v3) | (( ~ (v2 = 0) | (v3 = 0 & subnetstr(v1, all_0_16_16, all_0_15_15) = 0) | ( ~ (v6 = v4) & the_mapping(all_0_16_16, v1) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v5) = v6 & the_carrier(v1) = v5)) & ((v6 = v4 & v2 = 0 & the_mapping(all_0_16_16, v1) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v5) = v4 & the_carrier(v1) = v5) | ( ~ (v3 = 0) & subnetstr(v1, all_0_16_16, all_0_15_15) = v3))))) & ! [v1] : ( ~ (net_str(v1, all_0_16_16) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (((v6 = v4 & v3 = 0 & the_mapping(all_0_16_16, v1) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v5) = v4 & the_carrier(v1) = v5 & subrelstr(v1, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v1, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v1, all_0_16_16, all_0_15_15) = 0) | ( ~ (v6 = v4) & the_mapping(all_0_16_16, v1) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, v0, v5) = v6 & the_carrier(v1) = v5) | ( ~ (v3 = 0) & subrelstr(v1, all_0_15_15) = v3)))))) % 47.20/16.68 | % 47.20/16.68 | Instantiating (154) with all_106_0_140 yields: % 47.20/16.68 | (165) ( ~ (all_106_0_140 = 0) & rel_str(all_0_15_15) = all_106_0_140) | (the_InternalRel(all_0_15_15) = all_106_0_140 & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = 0 & subset(v1, all_0_14_14) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = v5) | ( ~ (v3 = 0) & subset(v1, all_0_14_14) = v3))))) & ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = 0 & subset(v2, all_0_14_14) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_14_14) = v3))))) & ! [v0] : ! [v1] : ( ~ (the_InternalRel(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_0_14_14) = 0 & subset(v1, all_106_0_140) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v5 = 0) & subset(v1, all_106_0_140) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_0_14_14) = v4))))) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = 0 & subset(v2, all_0_14_14) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_15_15) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_14_14) = v3))))) % 47.20/16.68 | % 47.20/16.68 | Instantiating (164) with all_112_0_152 yields: % 47.20/16.68 | (166) ( ~ (all_112_0_152 = 0) & net_str(all_0_15_15, all_0_16_16) = all_112_0_152) | (the_mapping(all_0_16_16, all_0_15_15) = all_112_0_152 & ! [v0] : ! [v1] : ( ~ (subnetstr(v0, all_0_16_16, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0)) & (v1 = 0 | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2))))) & ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_16_16, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v1 & v3 = 0 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v1 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v1) & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v4 & v3 = 0 & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v1) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v4) & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v1) = v5) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) & ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4)) & ((v5 = v3 & v1 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v3 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2))))) & ! [v0] : ( ~ (net_str(v0, all_0_16_16) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v1 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v1)) & ((v1 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2))))) % 47.20/16.68 | % 47.20/16.68 | Instantiating (163) with all_114_0_154, all_114_1_155 yields: % 47.20/16.68 | (167) the_mapping(all_0_16_16, all_0_15_15) = all_114_0_154 & the_carrier(all_0_15_15) = all_114_1_155 & ! [v0] : ! [v1] : ( ~ (subnetstr(v0, all_0_16_16, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0)) & (v1 = 0 | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2))))) & ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_16_16, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v1 & v3 = 0 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v1 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v1) & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v4 & v3 = 0 & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v1) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v4) & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v1) = v5) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) & ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v5 & the_carrier(v0) = v4)) & ((v5 = v3 & v1 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v3 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2))))) & ! [v0] : ( ~ (net_str(v0, all_0_16_16) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v1 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v1)) & ((v1 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)))) % 47.20/16.69 | % 47.20/16.69 | Applying alpha-rule on (167) yields: % 47.20/16.69 | (168) ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v5 & the_carrier(v0) = v4)) & ((v5 = v3 & v1 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v3 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2))))) % 47.20/16.69 | (169) ! [v0] : ( ~ (net_str(v0, all_0_16_16) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v1 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v1)) & ((v1 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)))) % 47.20/16.69 | (170) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v4 & v3 = 0 & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v1) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v4) & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v1) = v5) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) % 47.20/16.69 | (171) the_carrier(all_0_15_15) = all_114_1_155 % 47.20/16.69 | (172) the_mapping(all_0_16_16, all_0_15_15) = all_114_0_154 % 47.20/16.69 | (173) ! [v0] : ! [v1] : ( ~ (subnetstr(v0, all_0_16_16, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0)) & (v1 = 0 | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2))))) % 47.20/16.69 | (174) ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_16_16, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v1 & v3 = 0 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v1 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v1) & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) % 47.20/16.69 | % 47.20/16.69 | Instantiating formula (170) with all_0_12_12, all_0_13_13 and discharging atoms the_carrier(all_0_13_13) = all_0_12_12, yields: % 47.20/16.69 | (175) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (( ~ (v0 = 0) & net_str(all_0_13_13, all_0_16_16) = v0) | (((v3 = v2 & v1 = 0 & the_mapping(all_0_16_16, all_0_13_13) = v2 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = v2 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (v0 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = v0)) & ((v0 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (v3 = v2) & the_mapping(all_0_16_16, all_0_13_13) = v2 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = v3) | ( ~ (v1 = 0) & subrelstr(all_0_13_13, all_0_15_15) = v1)))) % 47.20/16.69 | % 47.20/16.69 | Instantiating (175) with all_121_0_173, all_121_1_174, all_121_2_175, all_121_3_176 yields: % 47.20/16.69 | (176) ( ~ (all_121_3_176 = 0) & net_str(all_0_13_13, all_0_16_16) = all_121_3_176) | (((all_121_0_173 = all_121_1_174 & all_121_2_175 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_1_174 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_121_3_176 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176)) & ((all_121_3_176 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (all_121_0_173 = all_121_1_174) & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_0_173) | ( ~ (all_121_2_175 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_121_2_175))) % 47.20/16.69 | % 47.20/16.69 +-Applying beta-rule and splitting (165), into two cases. % 47.20/16.69 |-Branch one: % 47.20/16.69 | (177) ~ (all_106_0_140 = 0) & rel_str(all_0_15_15) = all_106_0_140 % 47.20/16.69 | % 47.20/16.69 | Applying alpha-rule on (177) yields: % 47.20/16.69 | (178) ~ (all_106_0_140 = 0) % 47.20/16.69 | (179) rel_str(all_0_15_15) = all_106_0_140 % 47.20/16.69 | % 47.20/16.69 | Instantiating formula (62) with all_0_15_15, 0, all_106_0_140 and discharging atoms rel_str(all_0_15_15) = all_106_0_140, rel_str(all_0_15_15) = 0, yields: % 47.20/16.69 | (180) all_106_0_140 = 0 % 47.20/16.69 | % 47.20/16.69 | Equations (180) can reduce 178 to: % 47.20/16.69 | (181) $false % 47.20/16.69 | % 47.20/16.69 |-The branch is then unsatisfiable % 47.20/16.69 |-Branch two: % 47.20/16.69 | (182) the_InternalRel(all_0_15_15) = all_106_0_140 & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = 0 & subset(v1, all_0_14_14) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = v5) | ( ~ (v3 = 0) & subset(v1, all_0_14_14) = v3))))) & ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = 0 & subset(v2, all_0_14_14) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_14_14) = v3))))) & ! [v0] : ! [v1] : ( ~ (the_InternalRel(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_0_14_14) = 0 & subset(v1, all_106_0_140) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v5 = 0) & subset(v1, all_106_0_140) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_0_14_14) = v4))))) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = 0 & subset(v2, all_0_14_14) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_15_15) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_14_14) = v3)))) % 47.20/16.69 | % 47.20/16.69 | Applying alpha-rule on (182) yields: % 47.20/16.69 | (183) ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (( ~ (v1 = 0) | (v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = 0 & subset(v2, all_0_14_14) = 0)) & (v1 = 0 | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_14_14) = v3))))) % 47.20/16.69 | (184) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v3 = 0 & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = 0 & subset(v1, all_0_14_14) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = v5) | ( ~ (v3 = 0) & subset(v1, all_0_14_14) = v3))))) % 47.20/16.69 | (185) the_InternalRel(all_0_15_15) = all_106_0_140 % 47.20/16.69 | (186) ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = 0 & v3 = 0 & the_carrier(v0) = v2 & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = 0 & subset(v2, all_0_14_14) = 0) | ( ~ (v1 = 0) & subrelstr(v0, all_0_15_15) = v1)) & ((v1 = 0 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v5 = 0) & the_InternalRel(v0) = v4 & subset(v4, all_106_0_140) = v5) | ( ~ (v3 = 0) & the_carrier(v0) = v2 & subset(v2, all_0_14_14) = v3)))) % 47.20/16.69 | (187) ! [v0] : ! [v1] : ( ~ (the_InternalRel(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & rel_str(v0) = v2) | (((v5 = 0 & v4 = 0 & the_carrier(v0) = v3 & subset(v3, all_0_14_14) = 0 & subset(v1, all_106_0_140) = 0) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)) & ((v2 = 0 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v5 = 0) & subset(v1, all_106_0_140) = v5) | ( ~ (v4 = 0) & the_carrier(v0) = v3 & subset(v3, all_0_14_14) = v4))))) % 47.20/16.70 | % 47.20/16.70 | Instantiating formula (184) with all_0_12_12, all_0_13_13 and discharging atoms the_carrier(all_0_13_13) = all_0_12_12, yields: % 47.20/16.70 | (188) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (( ~ (v0 = 0) & rel_str(all_0_13_13) = v0) | (((v3 = 0 & v1 = 0 & the_InternalRel(all_0_13_13) = v2 & subset(v2, all_106_0_140) = 0 & subset(all_0_12_12, all_0_14_14) = 0) | ( ~ (v0 = 0) & subrelstr(all_0_13_13, all_0_15_15) = v0)) & ((v0 = 0 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (v3 = 0) & the_InternalRel(all_0_13_13) = v2 & subset(v2, all_106_0_140) = v3) | ( ~ (v1 = 0) & subset(all_0_12_12, all_0_14_14) = v1)))) % 47.20/16.70 | % 47.20/16.70 | Instantiating (188) with all_131_0_200, all_131_1_201, all_131_2_202, all_131_3_203 yields: % 47.20/16.70 | (189) ( ~ (all_131_3_203 = 0) & rel_str(all_0_13_13) = all_131_3_203) | (((all_131_0_200 = 0 & all_131_2_202 = 0 & the_InternalRel(all_0_13_13) = all_131_1_201 & subset(all_131_1_201, all_106_0_140) = 0 & subset(all_0_12_12, all_0_14_14) = 0) | ( ~ (all_131_3_203 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_131_3_203)) & ((all_131_3_203 = 0 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_131_0_200 = 0) & the_InternalRel(all_0_13_13) = all_131_1_201 & subset(all_131_1_201, all_106_0_140) = all_131_0_200) | ( ~ (all_131_2_202 = 0) & subset(all_0_12_12, all_0_14_14) = all_131_2_202))) % 47.20/16.70 | % 47.20/16.70 +-Applying beta-rule and splitting (156), into two cases. % 47.20/16.70 |-Branch one: % 47.20/16.70 | (190) all_0_11_11 = 0 % 47.20/16.70 | % 47.20/16.70 | Equations (190) can reduce 91 to: % 47.20/16.70 | (181) $false % 47.20/16.70 | % 47.20/16.70 |-The branch is then unsatisfiable % 47.20/16.70 |-Branch two: % 47.20/16.70 | (91) ~ (all_0_11_11 = 0) % 47.20/16.70 | (193) ? [v0] : ? [v1] : ( ~ (v1 = 0) & powerset(all_0_14_14) = v0 & element(all_0_12_12, v0) = v1) % 47.20/16.70 | % 47.20/16.70 +-Applying beta-rule and splitting (166), into two cases. % 47.20/16.70 |-Branch one: % 47.20/16.70 | (194) ~ (all_112_0_152 = 0) & net_str(all_0_15_15, all_0_16_16) = all_112_0_152 % 47.20/16.70 | % 47.20/16.70 | Applying alpha-rule on (194) yields: % 47.20/16.70 | (195) ~ (all_112_0_152 = 0) % 47.29/16.70 | (196) net_str(all_0_15_15, all_0_16_16) = all_112_0_152 % 47.29/16.70 | % 47.29/16.70 | Instantiating formula (75) with all_0_15_15, all_0_16_16, all_112_0_152, 0 and discharging atoms net_str(all_0_15_15, all_0_16_16) = all_112_0_152, net_str(all_0_15_15, all_0_16_16) = 0, yields: % 47.29/16.70 | (197) all_112_0_152 = 0 % 47.29/16.70 | % 47.29/16.70 | Equations (197) can reduce 195 to: % 47.29/16.70 | (181) $false % 47.29/16.70 | % 47.29/16.70 |-The branch is then unsatisfiable % 47.29/16.70 |-Branch two: % 47.29/16.70 | (199) the_mapping(all_0_16_16, all_0_15_15) = all_112_0_152 & ! [v0] : ! [v1] : ( ~ (subnetstr(v0, all_0_16_16, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0)) & (v1 = 0 | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2))))) & ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_16_16, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v1 & v3 = 0 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v1 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v1) & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v4 & v3 = 0 & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v1) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v4) & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v1) = v5) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) & ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4)) & ((v5 = v3 & v1 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v3 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2))))) & ! [v0] : ( ~ (net_str(v0, all_0_16_16) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v1 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v1)) & ((v1 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)))) % 47.29/16.70 | % 47.29/16.70 | Applying alpha-rule on (199) yields: % 47.29/16.70 | (200) ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_16_16, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v1 & v3 = 0 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v1 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v1) & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) % 47.29/16.70 | (201) ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4)) & ((v5 = v3 & v1 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v3 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2))))) % 47.29/16.70 | (202) ! [v0] : ( ~ (net_str(v0, all_0_16_16) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v1 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v1)) & ((v1 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2)))) % 47.29/16.70 | (203) ! [v0] : ! [v1] : ( ~ (subnetstr(v0, all_0_16_16, all_0_15_15) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (( ~ (v1 = 0) | (v5 = v3 & v2 = 0 & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v3 & the_carrier(v0) = v4 & subrelstr(v0, all_0_15_15) = 0)) & (v1 = 0 | ( ~ (v5 = v3) & the_mapping(all_0_16_16, v0) = v3 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v4) = v5 & the_carrier(v0) = v4) | ( ~ (v2 = 0) & subrelstr(v0, all_0_15_15) = v2))))) % 47.29/16.70 | (204) the_mapping(all_0_16_16, all_0_15_15) = all_112_0_152 % 47.29/16.70 | (205) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_16_16) = v2) | (((v5 = v4 & v3 = 0 & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v1) = v4 & subrelstr(v0, all_0_15_15) = 0) | ( ~ (v2 = 0) & subnetstr(v0, all_0_16_16, all_0_15_15) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_16_16, all_0_15_15) = 0) | ( ~ (v5 = v4) & the_mapping(all_0_16_16, v0) = v4 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, v1) = v5) | ( ~ (v3 = 0) & subrelstr(v0, all_0_15_15) = v3))))) % 47.29/16.70 | % 47.29/16.70 | Instantiating formula (205) with all_0_12_12, all_0_13_13 and discharging atoms the_carrier(all_0_13_13) = all_0_12_12, yields: % 47.29/16.70 | (206) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (( ~ (v0 = 0) & net_str(all_0_13_13, all_0_16_16) = v0) | (((v3 = v2 & v1 = 0 & the_mapping(all_0_16_16, all_0_13_13) = v2 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = v2 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (v0 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = v0)) & ((v0 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (v3 = v2) & the_mapping(all_0_16_16, all_0_13_13) = v2 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = v3) | ( ~ (v1 = 0) & subrelstr(all_0_13_13, all_0_15_15) = v1)))) % 47.29/16.70 | % 47.29/16.70 | Instantiating (206) with all_164_0_213, all_164_1_214, all_164_2_215, all_164_3_216 yields: % 47.29/16.70 | (207) ( ~ (all_164_3_216 = 0) & net_str(all_0_13_13, all_0_16_16) = all_164_3_216) | (((all_164_0_213 = all_164_1_214 & all_164_2_215 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_1_214 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_164_3_216 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_164_3_216)) & ((all_164_3_216 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (all_164_0_213 = all_164_1_214) & the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_0_213) | ( ~ (all_164_2_215 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_164_2_215))) % 47.29/16.70 | % 47.29/16.70 +-Applying beta-rule and splitting (157), into two cases. % 47.29/16.70 |-Branch one: % 47.29/16.70 | (208) all_72_0_102 = 0 & net_str(all_0_13_13, all_0_16_16) = 0 % 47.29/16.70 | % 47.29/16.70 | Applying alpha-rule on (208) yields: % 47.29/16.70 | (209) all_72_0_102 = 0 % 47.29/16.70 | (210) net_str(all_0_13_13, all_0_16_16) = 0 % 47.29/16.70 | % 47.29/16.70 +-Applying beta-rule and splitting (189), into two cases. % 47.29/16.70 |-Branch one: % 47.29/16.70 | (211) ~ (all_131_3_203 = 0) & rel_str(all_0_13_13) = all_131_3_203 % 47.29/16.70 | % 47.29/16.70 | Applying alpha-rule on (211) yields: % 47.29/16.70 | (212) ~ (all_131_3_203 = 0) % 47.29/16.70 | (213) rel_str(all_0_13_13) = all_131_3_203 % 47.29/16.70 | % 47.29/16.70 +-Applying beta-rule and splitting (207), into two cases. % 47.29/16.70 |-Branch one: % 47.29/16.70 | (214) ~ (all_164_3_216 = 0) & net_str(all_0_13_13, all_0_16_16) = all_164_3_216 % 47.29/16.70 | % 47.29/16.70 | Applying alpha-rule on (214) yields: % 47.29/16.70 | (215) ~ (all_164_3_216 = 0) % 47.29/16.70 | (216) net_str(all_0_13_13, all_0_16_16) = all_164_3_216 % 47.29/16.70 | % 47.29/16.70 | Instantiating formula (75) with all_0_13_13, all_0_16_16, 0, all_164_3_216 and discharging atoms net_str(all_0_13_13, all_0_16_16) = all_164_3_216, net_str(all_0_13_13, all_0_16_16) = 0, yields: % 47.29/16.70 | (217) all_164_3_216 = 0 % 47.29/16.70 | % 47.29/16.70 | Equations (217) can reduce 215 to: % 47.29/16.70 | (181) $false % 47.29/16.70 | % 47.29/16.70 |-The branch is then unsatisfiable % 47.29/16.70 |-Branch two: % 47.29/16.70 | (219) ((all_164_0_213 = all_164_1_214 & all_164_2_215 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_1_214 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_164_3_216 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_164_3_216)) & ((all_164_3_216 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (all_164_0_213 = all_164_1_214) & the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_0_213) | ( ~ (all_164_2_215 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_164_2_215)) % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (219) yields: % 47.29/16.71 | (220) (all_164_0_213 = all_164_1_214 & all_164_2_215 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_1_214 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_164_3_216 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_164_3_216) % 47.29/16.71 | (221) (all_164_3_216 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (all_164_0_213 = all_164_1_214) & the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_0_213) | ( ~ (all_164_2_215 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_164_2_215) % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (220), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (222) all_164_0_213 = all_164_1_214 & all_164_2_215 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_1_214 & subrelstr(all_0_13_13, all_0_15_15) = 0 % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (222) yields: % 47.29/16.71 | (223) subrelstr(all_0_13_13, all_0_15_15) = 0 % 47.29/16.71 | (224) relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_1_214 % 47.29/16.71 | (225) all_164_2_215 = 0 % 47.29/16.71 | (226) all_164_0_213 = all_164_1_214 % 47.29/16.71 | (227) the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (221), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (228) (all_164_3_216 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (all_164_0_213 = all_164_1_214) & the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_0_213) % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (228), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (229) all_164_3_216 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0 % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (229) yields: % 47.29/16.71 | (217) all_164_3_216 = 0 % 47.29/16.71 | (90) subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0 % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (176), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (232) ~ (all_121_3_176 = 0) & net_str(all_0_13_13, all_0_16_16) = all_121_3_176 % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (232) yields: % 47.29/16.71 | (233) ~ (all_121_3_176 = 0) % 47.29/16.71 | (234) net_str(all_0_13_13, all_0_16_16) = all_121_3_176 % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (75) with all_0_13_13, all_0_16_16, 0, all_121_3_176 and discharging atoms net_str(all_0_13_13, all_0_16_16) = all_121_3_176, net_str(all_0_13_13, all_0_16_16) = 0, yields: % 47.29/16.71 | (235) all_121_3_176 = 0 % 47.29/16.71 | % 47.29/16.71 | Equations (235) can reduce 233 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (237) ((all_121_0_173 = all_121_1_174 & all_121_2_175 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_1_174 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_121_3_176 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176)) & ((all_121_3_176 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (all_121_0_173 = all_121_1_174) & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_0_173) | ( ~ (all_121_2_175 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_121_2_175)) % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (237) yields: % 47.29/16.71 | (238) (all_121_0_173 = all_121_1_174 & all_121_2_175 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_1_174 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_121_3_176 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176) % 47.29/16.71 | (239) (all_121_3_176 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (all_121_0_173 = all_121_1_174) & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_0_173) | ( ~ (all_121_2_175 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_121_2_175) % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (238), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (240) all_121_0_173 = all_121_1_174 & all_121_2_175 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_1_174 & subrelstr(all_0_13_13, all_0_15_15) = 0 % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (240) yields: % 47.29/16.71 | (223) subrelstr(all_0_13_13, all_0_15_15) = 0 % 47.29/16.71 | (242) relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_1_174 % 47.29/16.71 | (243) all_121_2_175 = 0 % 47.29/16.71 | (244) all_121_0_173 = all_121_1_174 % 47.29/16.71 | (245) the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (117) with all_131_3_203, all_0_13_13, all_0_1_1 and discharging atoms one_sorted_str(all_0_1_1) = 0, rel_str(all_0_13_13) = all_131_3_203, yields: % 47.29/16.71 | (246) all_131_3_203 = 0 | ? [v0] : ( ~ (v0 = 0) & net_str(all_0_13_13, all_0_1_1) = v0) % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (117) with all_131_3_203, all_0_13_13, all_0_16_16 and discharging atoms one_sorted_str(all_0_16_16) = 0, rel_str(all_0_13_13) = all_131_3_203, yields: % 47.29/16.71 | (247) all_131_3_203 = 0 | ? [v0] : ( ~ (v0 = 0) & net_str(all_0_13_13, all_0_16_16) = v0) % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (117) with all_131_3_203, all_0_13_13, all_0_0_0 and discharging atoms one_sorted_str(all_0_0_0) = 0, rel_str(all_0_13_13) = all_131_3_203, yields: % 47.29/16.71 | (248) all_131_3_203 = 0 | ? [v0] : ( ~ (v0 = 0) & net_str(all_0_13_13, all_0_0_0) = v0) % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (65) with all_131_3_203, all_0_13_13, all_0_0_0 and discharging atoms rel_str(all_0_0_0) = 0, rel_str(all_0_13_13) = all_131_3_203, yields: % 47.29/16.71 | (249) all_131_3_203 = 0 | ? [v0] : ( ~ (v0 = 0) & subrelstr(all_0_13_13, all_0_0_0) = v0) % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (65) with all_131_3_203, all_0_13_13, all_0_15_15 and discharging atoms rel_str(all_0_13_13) = all_131_3_203, rel_str(all_0_15_15) = 0, yields: % 47.29/16.71 | (250) all_131_3_203 = 0 | ? [v0] : ( ~ (v0 = 0) & subrelstr(all_0_13_13, all_0_15_15) = v0) % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (148) with all_0_13_13, all_0_15_15 and discharging atoms rel_str(all_0_15_15) = 0, subrelstr(all_0_13_13, all_0_15_15) = 0, yields: % 47.29/16.71 | (251) rel_str(all_0_13_13) = 0 % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (250), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (252) all_131_3_203 = 0 % 47.29/16.71 | % 47.29/16.71 | Equations (252) can reduce 212 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (212) ~ (all_131_3_203 = 0) % 47.29/16.71 | (255) ? [v0] : ( ~ (v0 = 0) & subrelstr(all_0_13_13, all_0_15_15) = v0) % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (249), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (252) all_131_3_203 = 0 % 47.29/16.71 | % 47.29/16.71 | Equations (252) can reduce 212 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (212) ~ (all_131_3_203 = 0) % 47.29/16.71 | (259) ? [v0] : ( ~ (v0 = 0) & subrelstr(all_0_13_13, all_0_0_0) = v0) % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (248), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (252) all_131_3_203 = 0 % 47.29/16.71 | % 47.29/16.71 | Equations (252) can reduce 212 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (212) ~ (all_131_3_203 = 0) % 47.29/16.71 | (263) ? [v0] : ( ~ (v0 = 0) & net_str(all_0_13_13, all_0_0_0) = v0) % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (247), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (252) all_131_3_203 = 0 % 47.29/16.71 | % 47.29/16.71 | Equations (252) can reduce 212 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (212) ~ (all_131_3_203 = 0) % 47.29/16.71 | (267) ? [v0] : ( ~ (v0 = 0) & net_str(all_0_13_13, all_0_16_16) = v0) % 47.29/16.71 | % 47.29/16.71 +-Applying beta-rule and splitting (246), into two cases. % 47.29/16.71 |-Branch one: % 47.29/16.71 | (252) all_131_3_203 = 0 % 47.29/16.71 | % 47.29/16.71 | Equations (252) can reduce 212 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (212) ~ (all_131_3_203 = 0) % 47.29/16.71 | (271) ? [v0] : ( ~ (v0 = 0) & net_str(all_0_13_13, all_0_1_1) = v0) % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (62) with all_0_13_13, 0, all_131_3_203 and discharging atoms rel_str(all_0_13_13) = all_131_3_203, rel_str(all_0_13_13) = 0, yields: % 47.29/16.71 | (252) all_131_3_203 = 0 % 47.29/16.71 | % 47.29/16.71 | Equations (252) can reduce 212 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (274) ~ (all_121_3_176 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176 % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (274) yields: % 47.29/16.71 | (233) ~ (all_121_3_176 = 0) % 47.29/16.71 | (276) subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176 % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (29) with all_0_13_13, all_0_16_16, all_0_15_15, all_121_3_176, 0 and discharging atoms subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176, subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0, yields: % 47.29/16.71 | (235) all_121_3_176 = 0 % 47.29/16.71 | % 47.29/16.71 | Equations (235) can reduce 233 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (279) ~ (all_164_0_213 = all_164_1_214) & the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 & relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_0_213 % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (279) yields: % 47.29/16.71 | (280) ~ (all_164_0_213 = all_164_1_214) % 47.29/16.71 | (227) the_mapping(all_0_16_16, all_0_13_13) = all_164_1_214 % 47.29/16.71 | (282) relation_dom_restr_as_relation_of(all_0_14_14, all_90_0_127, all_112_0_152, all_0_12_12) = all_164_0_213 % 47.29/16.71 | % 47.29/16.71 | Equations (226) can reduce 280 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (284) ~ (all_164_2_215 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_164_2_215 % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (284) yields: % 47.29/16.71 | (285) ~ (all_164_2_215 = 0) % 47.29/16.71 | (286) subrelstr(all_0_13_13, all_0_15_15) = all_164_2_215 % 47.29/16.71 | % 47.29/16.71 | Equations (225) can reduce 285 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (288) ~ (all_164_3_216 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_164_3_216 % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (288) yields: % 47.29/16.71 | (215) ~ (all_164_3_216 = 0) % 47.29/16.71 | (290) subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_164_3_216 % 47.29/16.71 | % 47.29/16.71 | Instantiating formula (29) with all_0_13_13, all_0_16_16, all_0_15_15, all_164_3_216, 0 and discharging atoms subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_164_3_216, subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0, yields: % 47.29/16.71 | (217) all_164_3_216 = 0 % 47.29/16.71 | % 47.29/16.71 | Equations (217) can reduce 215 to: % 47.29/16.71 | (181) $false % 47.29/16.71 | % 47.29/16.71 |-The branch is then unsatisfiable % 47.29/16.71 |-Branch two: % 47.29/16.71 | (293) ((all_131_0_200 = 0 & all_131_2_202 = 0 & the_InternalRel(all_0_13_13) = all_131_1_201 & subset(all_131_1_201, all_106_0_140) = 0 & subset(all_0_12_12, all_0_14_14) = 0) | ( ~ (all_131_3_203 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_131_3_203)) & ((all_131_3_203 = 0 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_131_0_200 = 0) & the_InternalRel(all_0_13_13) = all_131_1_201 & subset(all_131_1_201, all_106_0_140) = all_131_0_200) | ( ~ (all_131_2_202 = 0) & subset(all_0_12_12, all_0_14_14) = all_131_2_202)) % 47.29/16.71 | % 47.29/16.71 | Applying alpha-rule on (293) yields: % 47.29/16.71 | (294) (all_131_0_200 = 0 & all_131_2_202 = 0 & the_InternalRel(all_0_13_13) = all_131_1_201 & subset(all_131_1_201, all_106_0_140) = 0 & subset(all_0_12_12, all_0_14_14) = 0) | ( ~ (all_131_3_203 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_131_3_203) % 47.29/16.71 | (295) (all_131_3_203 = 0 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_131_0_200 = 0) & the_InternalRel(all_0_13_13) = all_131_1_201 & subset(all_131_1_201, all_106_0_140) = all_131_0_200) | ( ~ (all_131_2_202 = 0) & subset(all_0_12_12, all_0_14_14) = all_131_2_202) % 47.29/16.72 | % 47.29/16.72 +-Applying beta-rule and splitting (176), into two cases. % 47.29/16.72 |-Branch one: % 47.29/16.72 | (232) ~ (all_121_3_176 = 0) & net_str(all_0_13_13, all_0_16_16) = all_121_3_176 % 47.29/16.72 | % 47.29/16.72 | Applying alpha-rule on (232) yields: % 47.29/16.72 | (233) ~ (all_121_3_176 = 0) % 47.29/16.72 | (234) net_str(all_0_13_13, all_0_16_16) = all_121_3_176 % 47.29/16.72 | % 47.29/16.72 | Instantiating formula (75) with all_0_13_13, all_0_16_16, 0, all_121_3_176 and discharging atoms net_str(all_0_13_13, all_0_16_16) = all_121_3_176, net_str(all_0_13_13, all_0_16_16) = 0, yields: % 47.29/16.72 | (235) all_121_3_176 = 0 % 47.29/16.72 | % 47.29/16.72 | Equations (235) can reduce 233 to: % 47.29/16.72 | (181) $false % 47.29/16.72 | % 47.29/16.72 |-The branch is then unsatisfiable % 47.29/16.72 |-Branch two: % 47.29/16.72 | (237) ((all_121_0_173 = all_121_1_174 & all_121_2_175 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_1_174 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_121_3_176 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176)) & ((all_121_3_176 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (all_121_0_173 = all_121_1_174) & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_0_173) | ( ~ (all_121_2_175 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_121_2_175)) % 47.29/16.72 | % 47.29/16.72 | Applying alpha-rule on (237) yields: % 47.29/16.72 | (238) (all_121_0_173 = all_121_1_174 & all_121_2_175 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_1_174 & subrelstr(all_0_13_13, all_0_15_15) = 0) | ( ~ (all_121_3_176 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176) % 47.29/16.72 | (239) (all_121_3_176 = 0 & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0) | ( ~ (all_121_0_173 = all_121_1_174) & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_0_173) | ( ~ (all_121_2_175 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_121_2_175) % 47.29/16.72 | % 47.29/16.72 +-Applying beta-rule and splitting (294), into two cases. % 47.29/16.72 |-Branch one: % 47.29/16.72 | (304) all_131_0_200 = 0 & all_131_2_202 = 0 & the_InternalRel(all_0_13_13) = all_131_1_201 & subset(all_131_1_201, all_106_0_140) = 0 & subset(all_0_12_12, all_0_14_14) = 0 % 47.29/16.72 | % 47.29/16.72 | Applying alpha-rule on (304) yields: % 47.29/16.72 | (305) subset(all_131_1_201, all_106_0_140) = 0 % 47.29/16.72 | (306) all_131_0_200 = 0 % 47.38/16.72 | (307) the_InternalRel(all_0_13_13) = all_131_1_201 % 47.38/16.72 | (308) subset(all_0_12_12, all_0_14_14) = 0 % 47.38/16.72 | (309) all_131_2_202 = 0 % 47.38/16.72 | % 47.38/16.72 | Instantiating formula (4) with all_0_12_12, all_0_14_14, 0, all_0_11_11 and discharging atoms subset(all_0_12_12, all_0_14_14) = all_0_11_11, subset(all_0_12_12, all_0_14_14) = 0, yields: % 47.38/16.72 | (190) all_0_11_11 = 0 % 47.38/16.72 | % 47.38/16.72 | Equations (190) can reduce 91 to: % 47.38/16.72 | (181) $false % 47.38/16.72 | % 47.38/16.72 |-The branch is then unsatisfiable % 47.38/16.72 |-Branch two: % 47.38/16.72 | (312) ~ (all_131_3_203 = 0) & subrelstr(all_0_13_13, all_0_15_15) = all_131_3_203 % 47.38/16.72 | % 47.38/16.72 | Applying alpha-rule on (312) yields: % 47.38/16.72 | (212) ~ (all_131_3_203 = 0) % 47.38/16.72 | (314) subrelstr(all_0_13_13, all_0_15_15) = all_131_3_203 % 47.38/16.72 | % 47.38/16.72 +-Applying beta-rule and splitting (238), into two cases. % 47.38/16.72 |-Branch one: % 47.38/16.72 | (240) all_121_0_173 = all_121_1_174 & all_121_2_175 = 0 & the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 & relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_1_174 & subrelstr(all_0_13_13, all_0_15_15) = 0 % 47.38/16.72 | % 47.38/16.72 | Applying alpha-rule on (240) yields: % 47.38/16.72 | (223) subrelstr(all_0_13_13, all_0_15_15) = 0 % 47.38/16.72 | (242) relation_dom_restr_as_relation_of(all_114_1_155, all_90_0_127, all_114_0_154, all_0_12_12) = all_121_1_174 % 47.38/16.72 | (243) all_121_2_175 = 0 % 47.38/16.72 | (244) all_121_0_173 = all_121_1_174 % 47.38/16.72 | (245) the_mapping(all_0_16_16, all_0_13_13) = all_121_1_174 % 47.38/16.72 | % 47.38/16.72 | Instantiating formula (113) with all_0_13_13, all_0_15_15, 0, all_131_3_203 and discharging atoms subrelstr(all_0_13_13, all_0_15_15) = all_131_3_203, subrelstr(all_0_13_13, all_0_15_15) = 0, yields: % 47.38/16.72 | (252) all_131_3_203 = 0 % 47.38/16.72 | % 47.38/16.72 | Equations (252) can reduce 212 to: % 47.38/16.72 | (181) $false % 47.38/16.72 | % 47.38/16.72 |-The branch is then unsatisfiable % 47.38/16.72 |-Branch two: % 47.38/16.72 | (274) ~ (all_121_3_176 = 0) & subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176 % 47.38/16.72 | % 47.38/16.72 | Applying alpha-rule on (274) yields: % 47.38/16.72 | (233) ~ (all_121_3_176 = 0) % 47.38/16.72 | (276) subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176 % 47.38/16.72 | % 47.38/16.72 | Instantiating formula (29) with all_0_13_13, all_0_16_16, all_0_15_15, all_121_3_176, 0 and discharging atoms subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = all_121_3_176, subnetstr(all_0_13_13, all_0_16_16, all_0_15_15) = 0, yields: % 47.38/16.72 | (235) all_121_3_176 = 0 % 47.38/16.72 | % 47.38/16.72 | Equations (235) can reduce 233 to: % 47.38/16.72 | (181) $false % 47.38/16.72 | % 47.38/16.72 |-The branch is then unsatisfiable % 47.38/16.72 |-Branch two: % 47.38/16.72 | (328) ~ (all_72_0_102 = 0) & one_sorted_str(all_0_16_16) = all_72_0_102 % 47.38/16.72 | % 47.38/16.72 | Applying alpha-rule on (328) yields: % 47.38/16.72 | (329) ~ (all_72_0_102 = 0) % 47.38/16.72 | (330) one_sorted_str(all_0_16_16) = all_72_0_102 % 47.38/16.72 | % 47.38/16.72 | Instantiating formula (36) with all_0_16_16, all_72_0_102, 0 and discharging atoms one_sorted_str(all_0_16_16) = all_72_0_102, one_sorted_str(all_0_16_16) = 0, yields: % 47.38/16.72 | (209) all_72_0_102 = 0 % 47.38/16.72 | % 47.38/16.72 | Equations (209) can reduce 329 to: % 47.38/16.72 | (181) $false % 47.38/16.72 | % 47.38/16.72 |-The branch is then unsatisfiable % 47.38/16.72 % SZS output end Proof for theBenchmark % 47.38/16.72 % 47.38/16.72 16119ms %------------------------------------------------------------------------------