%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEU374+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n013.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 08:49:18 EDT 2022 % Result : Theorem 31.80s 8.96s % Output : Proof 47.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU374+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n013.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jun 19 00:22:59 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.58 ____ _ % 0.18/0.58 ___ / __ \_____(_)___ ________ __________ % 0.18/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.18/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.18/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.18/0.58 % 0.18/0.58 A Theorem Prover for First-Order Logic % 0.18/0.58 (ePrincess v.1.0) % 0.18/0.58 % 0.18/0.58 (c) Philipp Rümmer, 2009-2015 % 0.18/0.58 (c) Peter Backeman, 2014-2015 % 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.18/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.18/0.58 Bug reports to peter@backeman.se % 0.18/0.58 % 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.18/0.58 % 0.18/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.65/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.69/0.96 Prover 0: Preprocessing ... % 2.71/1.27 Prover 0: Warning: ignoring some quantifiers % 2.71/1.29 Prover 0: Constructing countermodel ... % 18.90/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 18.90/6.00 Prover 1: Preprocessing ... % 19.71/6.15 Prover 1: Warning: ignoring some quantifiers % 19.71/6.15 Prover 1: Constructing countermodel ... % 29.78/8.52 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 30.08/8.58 Prover 2: Preprocessing ... % 30.63/8.75 Prover 2: Warning: ignoring some quantifiers % 31.02/8.76 Prover 2: Constructing countermodel ... % 31.80/8.96 Prover 2: proved (436ms) % 31.80/8.96 Prover 0: stopped % 31.80/8.96 Prover 1: stopped % 31.80/8.96 % 31.80/8.96 No countermodel exists, formula is valid % 31.80/8.96 % SZS status Theorem for theBenchmark % 31.80/8.96 % 31.80/8.96 Generating proof ... Warning: ignoring some quantifiers % 46.22/14.15 found it (size 55) % 46.22/14.15 % 46.22/14.15 % SZS output start Proof for theBenchmark % 46.22/14.15 Assumed formulas after preprocessing and simplification: % 46.22/14.15 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ( ~ (v12 = 0) & ~ (v7 = 0) & related(v3, v5, v6) = 0 & related(v1, v5, v6) = v7 & relation_empty_yielding(v15) = 0 & relation_empty_yielding(v9) = 0 & relation_empty_yielding(v8) = 0 & relation_empty_yielding(empty_set) = 0 & rel_str(v18) = 0 & one_sorted_str(v17) = 0 & one_sorted_str(v0) = 0 & net_str(v1, v0) = 0 & subnetstr(v3, v0, v1) = 0 & the_carrier(v3) = v4 & the_carrier(v1) = v2 & one_to_one(v10) = 0 & element(v6, v4) = 0 & element(v6, v2) = 0 & element(v5, v4) = 0 & element(v5, v2) = 0 & relation(v16) = 0 & relation(v15) = 0 & relation(v14) = 0 & relation(v13) = 0 & relation(v11) = 0 & relation(v10) = 0 & relation(v9) = 0 & relation(v8) = 0 & relation(empty_set) = 0 & function(v16) = 0 & function(v15) = 0 & function(v13) = 0 & function(v10) = 0 & function(v8) = 0 & empty(v14) = 0 & empty(v13) = 0 & empty(v11) = v12 & empty(empty_set) = 0 & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (related(v21, v23, v24) = 0) | ~ (related(v19, v23, v24) = v25) | ~ (the_carrier(v21) = v22) | ~ (the_carrier(v19) = v20) | ~ (element(v23, v22) = 0) | ~ (element(v23, v20) = 0) | ? [v26] : (( ~ (v26 = 0) & rel_str(v19) = v26) | ( ~ (v26 = 0) & subrelstr(v21, v19) = v26) | ( ~ (v26 = 0) & element(v24, v22) = v26) | ( ~ (v26 = 0) & element(v24, v20) = v26))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (related(v19, v23, v24) = v25) | ~ (the_carrier(v21) = v22) | ~ (the_carrier(v19) = v20) | ~ (element(v24, v22) = 0) | ~ (element(v23, v22) = 0) | ~ (element(v23, v20) = 0) | ? [v26] : (( ~ (v26 = 0) & related(v21, v23, v24) = v26) | ( ~ (v26 = 0) & rel_str(v19) = v26) | ( ~ (v26 = 0) & subrelstr(v21, v19) = v26) | ( ~ (v26 = 0) & element(v24, v20) = v26))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = 0 | ~ (cartesian_product2(v19, v20) = v22) | ~ (powerset(v22) = v23) | ~ (element(v21, v23) = v24) | ? [v25] : ( ~ (v25 = 0) & relation_of2_as_subset(v21, v19, v20) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v20 = v19 | ~ (relation_dom_restr_as_relation_of(v24, v23, v22, v21) = v20) | ~ (relation_dom_restr_as_relation_of(v24, v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (the_carrier(v21) = v22) | ~ (the_carrier(v19) = v20) | ~ (element(v24, v20) = 0) | ~ (element(v23, v20) = 0) | ? [v25] : (( ~ (v25 = 0) & rel_str(v19) = v25) | ( ~ (v25 = 0) & subrelstr(v21, v19) = v25) | (related(v19, v23, v24) = v25 & (v25 = 0 | ~ (related(v21, v23, v24) = 0) | ~ (element(v23, v22) = 0) | ? [v26] : ( ~ (v26 = 0) & element(v24, v22) = v26)) & (v25 = 0 | ~ (element(v24, v22) = 0) | ~ (element(v23, v22) = 0) | ? [v26] : ( ~ (v26 = 0) & related(v21, v23, v24) = v26))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = 0 | ~ (powerset(v21) = v22) | ~ (element(v20, v22) = 0) | ~ (element(v19, v21) = v23) | ? [v24] : ( ~ (v24 = 0) & in(v19, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (related(v23, v22, v21) = v20) | ~ (related(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (quasi_total(v23, v22, v21) = v20) | ~ (quasi_total(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (relation_of2(v23, v22, v21) = v20) | ~ (relation_of2(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (relation_of2_as_subset(v23, v22, v21) = v20) | ~ (relation_of2_as_subset(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (subnetstr(v23, v22, v21) = v20) | ~ (subnetstr(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_dom_restr_as_relation_of(v19, v20, v21, v22) = v23) | ? [v24] : ((v24 = v23 & relation_dom_restriction(v21, v22) = v23) | ( ~ (v24 = 0) & relation_of2(v21, v19, v20) = v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (relation_dom_restr_as_relation_of(v19, v20, v21, v22) = v23) | ? [v24] : ((v24 = 0 & relation_of2_as_subset(v23, v19, v20) = 0) | ( ~ (v24 = 0) & relation_of2(v21, v19, v20) = v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (cartesian_product2(v19, v20) = v22) | ~ (powerset(v22) = v23) | ~ (element(v21, v23) = 0) | relation(v21) = 0) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (relation_of2(v21, v19, v20) = v22) | ? [v23] : ( ~ (v23 = 0) & relation_of2_as_subset(v21, v19, v20) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (relation_of2_as_subset(v21, v19, v20) = v22) | ? [v23] : ( ~ (v23 = 0) & relation_of2(v21, v19, v20) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (net_str(v21, v19) = v22) | ~ (net_str(v20, v19) = 0) | ? [v23] : (( ~ (v23 = 0) & one_sorted_str(v19) = v23) | ( ~ (v23 = 0) & subnetstr(v21, v19, v20) = v23))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (powerset(v20) = v21) | ~ (element(v19, v21) = v22) | ? [v23] : ( ~ (v23 = 0) & subset(v19, v20) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = 0 | ~ (element(v19, v21) = v22) | ~ (in(v19, v20) = 0) | ? [v23] : ? [v24] : ( ~ (v24 = 0) & powerset(v21) = v23 & element(v20, v23) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (subset(v22, v21) = v20) | ~ (subset(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (relation_dom_restriction(v22, v21) = v20) | ~ (relation_dom_restriction(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (subrelstr(v22, v21) = v20) | ~ (subrelstr(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (net_str(v22, v21) = v20) | ~ (net_str(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (the_mapping(v22, v21) = v20) | ~ (the_mapping(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (cartesian_product2(v22, v21) = v20) | ~ (cartesian_product2(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (element(v22, v21) = v20) | ~ (element(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (in(v22, v21) = v20) | ~ (in(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (the_mapping(v19, v21) = v22) | ~ (the_carrier(v19) = v20) | ? [v23] : (( ~ (v23 = 0) & one_sorted_str(v19) = v23) | ( ~ (v23 = 0) & net_str(v21, v19) = v23) | (the_carrier(v21) = v23 & ! [v24] : ! [v25] : ( ~ (subrelstr(v24, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v29)) & ((v29 = v27 & v25 = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v27) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (subnetstr(v24, v19, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v27)) & (v25 = 0 | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (the_mapping(v19, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v25 & v27 = 0 & subrelstr(v24, v21) = 0 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v25) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v25) & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ! [v25] : ( ~ (the_carrier(v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v28 & v27 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v25) = v28) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v28) & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v25) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ( ~ (net_str(v24, v19) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (((v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v27) | ( ~ (v25 = 0) & subnetstr(v24, v19, v21) = v25)) & ((v25 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (the_carrier(v21) = v22) | ~ (the_carrier(v19) = v20) | ? [v23] : (( ~ (v23 = 0) & one_sorted_str(v19) = v23) | ( ~ (v23 = 0) & net_str(v21, v19) = v23) | (the_mapping(v19, v21) = v23 & ! [v24] : ! [v25] : ( ~ (subrelstr(v24, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29)) & ((v29 = v27 & v25 = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (subnetstr(v24, v19, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27)) & (v25 = 0 | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (the_mapping(v19, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v25 & v27 = 0 & subrelstr(v24, v21) = 0 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v25) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v25) & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ! [v25] : ( ~ (the_carrier(v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v28 & v27 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v25) = v28) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v28) & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v25) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ( ~ (net_str(v24, v19) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (((v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27) | ( ~ (v25 = 0) & subnetstr(v24, v19, v21) = v25)) & ((v25 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (powerset(v21) = v22) | ~ (element(v20, v22) = 0) | ~ (in(v19, v20) = 0) | element(v19, v21) = 0) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (powerset(v21) = v22) | ~ (element(v20, v22) = 0) | ~ (in(v19, v20) = 0) | ? [v23] : ( ~ (v23 = 0) & empty(v21) = v23)) & ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (subset(v19, v20) = v21) | ? [v22] : ? [v23] : ( ~ (v23 = 0) & powerset(v20) = v22 & element(v19, v22) = v23)) & ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (rel_str(v20) = v21) | ~ (rel_str(v19) = 0) | ? [v22] : ( ~ (v22 = 0) & subrelstr(v20, v19) = v22)) & ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (rel_str(v20) = v21) | ~ (one_sorted_str(v19) = 0) | ? [v22] : ( ~ (v22 = 0) & net_str(v20, v19) = v22)) & ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (element(v19, v20) = v21) | ? [v22] : ( ~ (v22 = 0) & in(v19, v20) = v22)) & ! [v19] : ! [v20] : ! [v21] : (v21 = 0 | ~ (in(v19, v20) = v21) | ? [v22] : ((v22 = 0 & empty(v20) = 0) | ( ~ (v22 = 0) & element(v19, v20) = v22))) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (relation_empty_yielding(v21) = v20) | ~ (relation_empty_yielding(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (rel_str(v21) = v20) | ~ (rel_str(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (one_sorted_str(v21) = v20) | ~ (one_sorted_str(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (the_carrier(v21) = v20) | ~ (the_carrier(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (one_to_one(v21) = v20) | ~ (one_to_one(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (powerset(v21) = v20) | ~ (powerset(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (relation(v21) = v20) | ~ (relation(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (function(v21) = v20) | ~ (function(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (empty(v21) = v20) | ~ (empty(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (relation_of2(v21, v19, v20) = 0) | relation_of2_as_subset(v21, v19, v20) = 0) & ! [v19] : ! [v20] : ! [v21] : ( ~ (relation_of2_as_subset(v21, v19, v20) = 0) | relation_of2(v21, v19, v20) = 0) & ! [v19] : ! [v20] : ! [v21] : ( ~ (relation_of2_as_subset(v21, v19, v20) = 0) | ? [v22] : ? [v23] : (cartesian_product2(v19, v20) = v22 & powerset(v22) = v23 & element(v21, v23) = 0)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (relation_dom_restriction(v19, v20) = v21) | ? [v22] : ? [v23] : ((v23 = 0 & v22 = 0 & relation_empty_yielding(v21) = 0 & relation(v21) = 0) | ( ~ (v22 = 0) & relation_empty_yielding(v19) = v22) | ( ~ (v22 = 0) & relation(v19) = v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (relation_dom_restriction(v19, v20) = v21) | ? [v22] : ? [v23] : ((v23 = 0 & v22 = 0 & relation(v21) = 0 & function(v21) = 0) | ( ~ (v22 = 0) & relation(v19) = v22) | ( ~ (v22 = 0) & function(v19) = v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (relation_dom_restriction(v19, v20) = v21) | ? [v22] : ((v22 = 0 & relation(v21) = 0) | ( ~ (v22 = 0) & relation(v19) = v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (subrelstr(v21, v19) = 0) | ~ (the_carrier(v19) = v20) | ? [v22] : (( ~ (v22 = 0) & rel_str(v19) = v22) | (the_carrier(v21) = v22 & ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (related(v21, v23, v24) = 0) | ~ (related(v19, v23, v24) = v25) | ~ (element(v23, v22) = 0) | ~ (element(v23, v20) = 0) | ? [v26] : (( ~ (v26 = 0) & element(v24, v22) = v26) | ( ~ (v26 = 0) & element(v24, v20) = v26))) & ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (related(v19, v23, v24) = v25) | ~ (element(v24, v22) = 0) | ~ (element(v23, v22) = 0) | ~ (element(v23, v20) = 0) | ? [v26] : (( ~ (v26 = 0) & related(v21, v23, v24) = v26) | ( ~ (v26 = 0) & element(v24, v20) = v26))) & ! [v23] : ! [v24] : ( ~ (element(v24, v20) = 0) | ~ (element(v23, v20) = 0) | ? [v25] : (related(v19, v23, v24) = v25 & (v25 = 0 | ~ (related(v21, v23, v24) = 0) | ~ (element(v23, v22) = 0) | ? [v26] : ( ~ (v26 = 0) & element(v24, v22) = v26)) & (v25 = 0 | ~ (element(v24, v22) = 0) | ~ (element(v23, v22) = 0) | ? [v26] : ( ~ (v26 = 0) & related(v21, v23, v24) = v26))))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (net_str(v21, v19) = 0) | ~ (the_carrier(v19) = v20) | ? [v22] : ? [v23] : (( ~ (v22 = 0) & one_sorted_str(v19) = v22) | (the_mapping(v19, v21) = v23 & the_carrier(v21) = v22 & ! [v24] : ! [v25] : ( ~ (subrelstr(v24, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29)) & ((v29 = v27 & v25 = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (subnetstr(v24, v19, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27)) & (v25 = 0 | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (the_mapping(v19, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v25 & v27 = 0 & subrelstr(v24, v21) = 0 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v25) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v25) & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ! [v25] : ( ~ (the_carrier(v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v28 & v27 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v25) = v28) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v28) & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v25) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ( ~ (net_str(v24, v19) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (((v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27) | ( ~ (v25 = 0) & subnetstr(v24, v19, v21) = v25)) & ((v25 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (net_str(v20, v19) = 0) | ~ (subnetstr(v21, v19, v20) = 0) | ? [v22] : ((v22 = 0 & net_str(v21, v19) = 0) | ( ~ (v22 = 0) & one_sorted_str(v19) = v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (the_mapping(v19, v20) = v21) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = 0 & v25 = 0 & v22 = 0 & quasi_total(v21, v23, v24) = 0 & relation_of2_as_subset(v21, v23, v24) = 0 & the_carrier(v20) = v23 & the_carrier(v19) = v24 & function(v21) = 0) | ( ~ (v22 = 0) & one_sorted_str(v19) = v22) | ( ~ (v22 = 0) & net_str(v20, v19) = v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (cartesian_product2(v19, v20) = v21) | ? [v22] : ((v22 = 0 & empty(v20) = 0) | (v22 = 0 & empty(v19) = 0) | ( ~ (v22 = 0) & empty(v21) = v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (powerset(v20) = v21) | ~ (element(v19, v21) = 0) | subset(v19, v20) = 0) & ! [v19] : ! [v20] : ! [v21] : ( ~ (empty(v21) = 0) | ~ (in(v19, v20) = 0) | ? [v22] : ? [v23] : ( ~ (v23 = 0) & powerset(v21) = v22 & element(v20, v22) = v23)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (empty(v20) = 0) | ~ (empty(v19) = 0)) & ! [v19] : ! [v20] : (v20 = 0 | ~ (subset(v19, v19) = v20)) & ! [v19] : ! [v20] : (v20 = 0 | ~ (one_sorted_str(v19) = v20) | ? [v21] : ( ~ (v21 = 0) & rel_str(v19) = v21)) & ! [v19] : ! [v20] : (v20 = 0 | ~ (relation(v19) = v20) | ? [v21] : ( ~ (v21 = 0) & empty(v19) = v21)) & ! [v19] : ! [v20] : (v20 = 0 | ~ (function(v19) = v20) | ? [v21] : ( ~ (v21 = 0) & empty(v19) = v21)) & ! [v19] : ! [v20] : (v20 = 0 | ~ (empty(v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ( ~ (v23 = 0) & powerset(v19) = v21 & element(v22, v21) = 0 & empty(v22) = v23)) & ! [v19] : ! [v20] : ( ~ (subset(v19, v20) = 0) | ? [v21] : (powerset(v20) = v21 & element(v19, v21) = 0)) & ! [v19] : ! [v20] : ( ~ (rel_str(v19) = 0) | ~ (subrelstr(v20, v19) = 0) | rel_str(v20) = 0) & ! [v19] : ! [v20] : ( ~ (one_sorted_str(v19) = 0) | ~ (net_str(v20, v19) = 0) | rel_str(v20) = 0) & ! [v19] : ! [v20] : ( ~ (net_str(v20, v19) = 0) | ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ((v26 = 0 & v25 = 0 & v22 = 0 & quasi_total(v21, v23, v24) = 0 & relation_of2_as_subset(v21, v23, v24) = 0 & the_mapping(v19, v20) = v21 & the_carrier(v20) = v23 & the_carrier(v19) = v24 & function(v21) = 0) | ( ~ (v21 = 0) & one_sorted_str(v19) = v21))) & ! [v19] : ! [v20] : ( ~ (net_str(v20, v19) = 0) | ? [v21] : ? [v22] : ((v22 = 0 & subnetstr(v21, v19, v20) = 0) | ( ~ (v21 = 0) & one_sorted_str(v19) = v21))) & ! [v19] : ! [v20] : ( ~ (one_to_one(v19) = v20) | ? [v21] : ? [v22] : ((v22 = 0 & v21 = 0 & v20 = 0 & relation(v19) = 0 & function(v19) = 0) | ( ~ (v21 = 0) & relation(v19) = v21) | ( ~ (v21 = 0) & function(v19) = v21) | ( ~ (v21 = 0) & empty(v19) = v21))) & ! [v19] : ! [v20] : ( ~ (powerset(v19) = v20) | ? [v21] : ? [v22] : ? [v23] : ((v22 = 0 & ~ (v23 = 0) & element(v21, v20) = 0 & empty(v21) = v23) | (v21 = 0 & empty(v19) = 0))) & ! [v19] : ! [v20] : ( ~ (powerset(v19) = v20) | ? [v21] : ( ~ (v21 = 0) & empty(v20) = v21)) & ! [v19] : ! [v20] : ( ~ (powerset(v19) = v20) | ? [v21] : (element(v21, v20) = 0 & empty(v21) = 0)) & ! [v19] : ! [v20] : ( ~ (element(v19, v20) = 0) | ? [v21] : ((v21 = 0 & empty(v20) = 0) | (v21 = 0 & in(v19, v20) = 0))) & ! [v19] : ! [v20] : ( ~ (in(v20, v19) = 0) | ? [v21] : ( ~ (v21 = 0) & in(v19, v20) = v21)) & ! [v19] : ! [v20] : ( ~ (in(v19, v20) = 0) | element(v19, v20) = 0) & ! [v19] : ! [v20] : ( ~ (in(v19, v20) = 0) | ? [v21] : ( ~ (v21 = 0) & empty(v20) = v21)) & ! [v19] : ! [v20] : ( ~ (in(v19, v20) = 0) | ? [v21] : ( ~ (v21 = 0) & in(v20, v19) = v21)) & ! [v19] : (v19 = empty_set | ~ (empty(v19) = 0)) & ! [v19] : ( ~ (rel_str(v19) = 0) | one_sorted_str(v19) = 0) & ! [v19] : ( ~ (rel_str(v19) = 0) | ? [v20] : subrelstr(v20, v19) = 0) & ! [v19] : ( ~ (rel_str(v19) = 0) | ? [v20] : (the_carrier(v19) = v20 & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (related(v21, v23, v24) = 0) | ~ (related(v19, v23, v24) = v25) | ~ (the_carrier(v21) = v22) | ~ (element(v23, v22) = 0) | ~ (element(v23, v20) = 0) | ? [v26] : (( ~ (v26 = 0) & subrelstr(v21, v19) = v26) | ( ~ (v26 = 0) & element(v24, v22) = v26) | ( ~ (v26 = 0) & element(v24, v20) = v26))) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (related(v19, v23, v24) = v25) | ~ (the_carrier(v21) = v22) | ~ (element(v24, v22) = 0) | ~ (element(v23, v22) = 0) | ~ (element(v23, v20) = 0) | ? [v26] : (( ~ (v26 = 0) & related(v21, v23, v24) = v26) | ( ~ (v26 = 0) & subrelstr(v21, v19) = v26) | ( ~ (v26 = 0) & element(v24, v20) = v26))) & ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (the_carrier(v21) = v22) | ~ (element(v24, v20) = 0) | ~ (element(v23, v20) = 0) | ? [v25] : (( ~ (v25 = 0) & subrelstr(v21, v19) = v25) | (related(v19, v23, v24) = v25 & (v25 = 0 | ~ (related(v21, v23, v24) = 0) | ~ (element(v23, v22) = 0) | ? [v26] : ( ~ (v26 = 0) & element(v24, v22) = v26)) & (v25 = 0 | ~ (element(v24, v22) = 0) | ~ (element(v23, v22) = 0) | ? [v26] : ( ~ (v26 = 0) & related(v21, v23, v24) = v26))))) & ! [v21] : ( ~ (subrelstr(v21, v19) = 0) | ? [v22] : (the_carrier(v21) = v22 & ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (related(v21, v23, v24) = 0) | ~ (related(v19, v23, v24) = v25) | ~ (element(v23, v22) = 0) | ~ (element(v23, v20) = 0) | ? [v26] : (( ~ (v26 = 0) & element(v24, v22) = v26) | ( ~ (v26 = 0) & element(v24, v20) = v26))) & ! [v23] : ! [v24] : ! [v25] : (v25 = 0 | ~ (related(v19, v23, v24) = v25) | ~ (element(v24, v22) = 0) | ~ (element(v23, v22) = 0) | ~ (element(v23, v20) = 0) | ? [v26] : (( ~ (v26 = 0) & related(v21, v23, v24) = v26) | ( ~ (v26 = 0) & element(v24, v20) = v26))) & ! [v23] : ! [v24] : ( ~ (element(v24, v20) = 0) | ~ (element(v23, v20) = 0) | ? [v25] : (related(v19, v23, v24) = v25 & (v25 = 0 | ~ (related(v21, v23, v24) = 0) | ~ (element(v23, v22) = 0) | ? [v26] : ( ~ (v26 = 0) & element(v24, v22) = v26)) & (v25 = 0 | ~ (element(v24, v22) = 0) | ~ (element(v23, v22) = 0) | ? [v26] : ( ~ (v26 = 0) & related(v21, v23, v24) = v26)))))))) & ! [v19] : ( ~ (one_sorted_str(v19) = 0) | ? [v20] : net_str(v20, v19) = 0) & ! [v19] : ( ~ (one_sorted_str(v19) = 0) | ? [v20] : (the_carrier(v19) = v20 & ! [v21] : ! [v22] : ( ~ (the_mapping(v19, v21) = v22) | ? [v23] : (( ~ (v23 = 0) & net_str(v21, v19) = v23) | (the_carrier(v21) = v23 & ! [v24] : ! [v25] : ( ~ (subrelstr(v24, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v29)) & ((v29 = v27 & v25 = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v27) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (subnetstr(v24, v19, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v27)) & (v25 = 0 | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (the_mapping(v19, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v25 & v27 = 0 & subrelstr(v24, v21) = 0 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v25) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v25) & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ! [v25] : ( ~ (the_carrier(v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v28 & v27 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v25) = v28) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v28) & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v25) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ( ~ (net_str(v24, v19) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (((v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v27) | ( ~ (v25 = 0) & subnetstr(v24, v19, v21) = v25)) & ((v25 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v23, v20, v22, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))))) & ! [v21] : ! [v22] : ( ~ (the_carrier(v21) = v22) | ? [v23] : (( ~ (v23 = 0) & net_str(v21, v19) = v23) | (the_mapping(v19, v21) = v23 & ! [v24] : ! [v25] : ( ~ (subrelstr(v24, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29)) & ((v29 = v27 & v25 = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (subnetstr(v24, v19, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27)) & (v25 = 0 | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (the_mapping(v19, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v25 & v27 = 0 & subrelstr(v24, v21) = 0 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v25) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v25) & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ! [v25] : ( ~ (the_carrier(v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v28 & v27 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v25) = v28) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v28) & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v25) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ( ~ (net_str(v24, v19) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (((v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27) | ( ~ (v25 = 0) & subnetstr(v24, v19, v21) = v25)) & ((v25 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))))) & ! [v21] : ( ~ (net_str(v21, v19) = 0) | ? [v22] : ? [v23] : (the_mapping(v19, v21) = v23 & the_carrier(v21) = v22 & ! [v24] : ! [v25] : ( ~ (subrelstr(v24, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29)) & ((v29 = v27 & v25 = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (subnetstr(v24, v19, v21) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (( ~ (v25 = 0) | (v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27)) & (v25 = 0 | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26))))) & ! [v24] : ! [v25] : ( ~ (the_mapping(v19, v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v25 & v27 = 0 & subrelstr(v24, v21) = 0 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v25) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v25) & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ! [v25] : ( ~ (the_carrier(v24) = v25) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (( ~ (v26 = 0) & net_str(v24, v19) = v26) | (((v29 = v28 & v27 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v25) = v28) | ( ~ (v26 = 0) & subnetstr(v24, v19, v21) = v26)) & ((v26 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v28) & the_mapping(v19, v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v25) = v29) | ( ~ (v27 = 0) & subrelstr(v24, v21) = v27))))) & ! [v24] : ( ~ (net_str(v24, v19) = 0) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (((v29 = v27 & v26 = 0 & subrelstr(v24, v21) = 0 & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v27) | ( ~ (v25 = 0) & subnetstr(v24, v19, v21) = v25)) & ((v25 = 0 & subnetstr(v24, v19, v21) = 0) | ( ~ (v29 = v27) & the_mapping(v19, v24) = v27 & the_carrier(v24) = v28 & relation_dom_restr_as_relation_of(v22, v20, v23, v28) = v29) | ( ~ (v26 = 0) & subrelstr(v24, v21) = v26)))))))) & ! [v19] : ( ~ (relation(v19) = 0) | ? [v20] : ? [v21] : ((v21 = 0 & v20 = 0 & one_to_one(v19) = 0 & function(v19) = 0) | ( ~ (v20 = 0) & function(v19) = v20) | ( ~ (v20 = 0) & empty(v19) = v20))) & ! [v19] : ( ~ (function(v19) = 0) | ? [v20] : ? [v21] : ((v21 = 0 & v20 = 0 & one_to_one(v19) = 0 & relation(v19) = 0) | ( ~ (v20 = 0) & relation(v19) = v20) | ( ~ (v20 = 0) & empty(v19) = v20))) & ! [v19] : ( ~ (empty(v19) = 0) | relation(v19) = 0) & ! [v19] : ( ~ (empty(v19) = 0) | function(v19) = 0) & ! [v19] : ( ~ (empty(v19) = 0) | ? [v20] : ? [v21] : ? [v22] : ((v22 = 0 & v21 = 0 & v20 = 0 & one_to_one(v19) = 0 & relation(v19) = 0 & function(v19) = 0) | ( ~ (v20 = 0) & relation(v19) = v20) | ( ~ (v20 = 0) & function(v19) = v20))) & ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : relation_dom_restr_as_relation_of(v22, v21, v20, v19) = v23 & ? [v19] : ? [v20] : ? [v21] : ? [v22] : related(v21, v20, v19) = v22 & ? [v19] : ? [v20] : ? [v21] : ? [v22] : quasi_total(v21, v20, v19) = v22 & ? [v19] : ? [v20] : ? [v21] : ? [v22] : relation_of2(v21, v20, v19) = v22 & ? [v19] : ? [v20] : ? [v21] : ? [v22] : relation_of2_as_subset(v21, v20, v19) = v22 & ? [v19] : ? [v20] : ? [v21] : ? [v22] : subnetstr(v21, v20, v19) = v22 & ? [v19] : ? [v20] : ? [v21] : subset(v20, v19) = v21 & ? [v19] : ? [v20] : ? [v21] : relation_of2(v21, v19, v20) = 0 & ? [v19] : ? [v20] : ? [v21] : relation_of2_as_subset(v21, v19, v20) = 0 & ? [v19] : ? [v20] : ? [v21] : relation_dom_restriction(v20, v19) = v21 & ? [v19] : ? [v20] : ? [v21] : subrelstr(v20, v19) = v21 & ? [v19] : ? [v20] : ? [v21] : net_str(v20, v19) = v21 & ? [v19] : ? [v20] : ? [v21] : the_mapping(v20, v19) = v21 & ? [v19] : ? [v20] : ? [v21] : cartesian_product2(v20, v19) = v21 & ? [v19] : ? [v20] : ? [v21] : element(v20, v19) = v21 & ? [v19] : ? [v20] : ? [v21] : in(v20, v19) = v21 & ? [v19] : ? [v20] : relation_empty_yielding(v19) = v20 & ? [v19] : ? [v20] : rel_str(v19) = v20 & ? [v19] : ? [v20] : one_sorted_str(v19) = v20 & ? [v19] : ? [v20] : the_carrier(v19) = v20 & ? [v19] : ? [v20] : one_to_one(v19) = v20 & ? [v19] : ? [v20] : powerset(v19) = v20 & ? [v19] : ? [v20] : element(v20, v19) = 0 & ? [v19] : ? [v20] : relation(v19) = v20 & ? [v19] : ? [v20] : function(v19) = v20 & ? [v19] : ? [v20] : empty(v19) = v20) % 46.81/14.27 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18 yields: % 46.81/14.27 | (1) ~ (all_0_6_6 = 0) & ~ (all_0_11_11 = 0) & related(all_0_15_15, all_0_13_13, all_0_12_12) = 0 & related(all_0_17_17, all_0_13_13, all_0_12_12) = all_0_11_11 & 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 & rel_str(all_0_0_0) = 0 & one_sorted_str(all_0_1_1) = 0 & one_sorted_str(all_0_18_18) = 0 & net_str(all_0_17_17, all_0_18_18) = 0 & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = 0 & the_carrier(all_0_15_15) = all_0_14_14 & the_carrier(all_0_17_17) = all_0_16_16 & one_to_one(all_0_8_8) = 0 & element(all_0_12_12, all_0_14_14) = 0 & element(all_0_12_12, all_0_16_16) = 0 & element(all_0_13_13, all_0_14_14) = 0 & element(all_0_13_13, all_0_16_16) = 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] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & rel_str(v0) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & related(v2, v4, v5) = v7) | ( ~ (v7 = 0) & rel_str(v0) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [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] : ! [v5] : ( ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & rel_str(v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | (related(v0, v4, v5) = v6 & (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & element(v5, v3) = v7)) & (v6 = 0 | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & related(v2, v4, v5) = v7))))) & ! [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 | ~ (related(v4, v3, v2) = v1) | ~ (related(v4, v3, v2) = v0)) & ! [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 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subrelstr(v3, v2) = v1) | ~ (subrelstr(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 | ~ (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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0, v3) = v4)) & ! [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 | ~ (rel_str(v1) = v2) | ~ (one_sorted_str(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & net_str(v1, v0) = v3)) & ! [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 | ~ (rel_str(v2) = v1) | ~ (rel_str(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 | ~ (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] : ( ~ (subrelstr(v2, v0) = 0) | ~ (the_carrier(v0) = v1) | ? [v3] : (( ~ (v3 = 0) & rel_str(v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (related(v0, v4, v5) = v6) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v0, v4, v5) = v6) | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & related(v2, v4, v5) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & element(v5, v3) = v7)) & (v6 = 0 | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & related(v2, v4, v5) = v7))))))) & ! [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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & rel_str(v0) = v2)) & ! [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] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (powerset(v1) = v2 & element(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (rel_str(v0) = 0) | ~ (subrelstr(v1, v0) = 0) | rel_str(v1) = 0) & ! [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] : ( ~ (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] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : subrelstr(v1, v0) = 0) & ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & related(v2, v4, v5) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (the_carrier(v2) = v3) | ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | (related(v0, v4, v5) = v6 & (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & element(v5, v3) = v7)) & (v6 = 0 | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & related(v2, v4, v5) = v7))))) & ! [v2] : ( ~ (subrelstr(v2, v0) = 0) | ? [v3] : (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (related(v0, v4, v5) = v6) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v0, v4, v5) = v6) | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & related(v2, v4, v5) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & element(v5, v3) = v7)) & (v6 = 0 | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & related(v2, v4, v5) = v7)))))))) & ! [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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7)))))))) & ! [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] : related(v2, v1, v0) = v3 & ? [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] : subset(v1, v0) = v2 & ? [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] : subrelstr(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : net_str(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : the_mapping(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] : rel_str(v0) = v1 & ? [v0] : ? [v1] : one_sorted_str(v0) = v1 & ? [v0] : ? [v1] : the_carrier(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 % 46.81/14.32 | % 46.81/14.32 | Applying alpha-rule on (1) yields: % 46.81/14.32 | (2) element(all_0_12_12, all_0_14_14) = 0 % 46.81/14.32 | (3) ! [v0] : ! [v1] : (v1 = 0 | ~ (relation(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) % 46.81/14.32 | (4) element(all_0_13_13, all_0_14_14) = 0 % 46.81/14.32 | (5) ! [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))) % 46.81/14.32 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) % 46.81/14.32 | (7) ! [v0] : ( ~ (one_sorted_str(v0) = 0) | ? [v1] : net_str(v1, v0) = 0) % 46.81/14.32 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (related(v4, v3, v2) = v1) | ~ (related(v4, v3, v2) = v0)) % 46.81/14.32 | (9) ! [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))) % 46.81/14.32 | (10) ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 % 46.81/14.32 | (11) ! [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))) % 46.81/14.32 | (12) ? [v0] : ? [v1] : relation_empty_yielding(v0) = v1 % 46.81/14.32 | (13) relation_empty_yielding(all_0_9_9) = 0 % 46.81/14.32 | (14) function(all_0_3_3) = 0 % 46.81/14.32 | (15) ! [v0] : ! [v1] : ( ~ (one_sorted_str(v0) = 0) | ~ (net_str(v1, v0) = 0) | rel_str(v1) = 0) % 46.81/14.32 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) % 46.81/14.32 | (17) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (rel_str(v1) = v2) | ~ (rel_str(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & subrelstr(v1, v0) = v3)) % 46.81/14.32 | (18) empty(all_0_4_4) = 0 % 46.81/14.32 | (19) empty(empty_set) = 0 % 46.81/14.32 | (20) relation(all_0_9_9) = 0 % 46.81/14.32 | (21) ! [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)) % 46.81/14.32 | (22) ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : (the_carrier(v0) = v1 & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & related(v2, v4, v5) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (the_carrier(v2) = v3) | ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | (related(v0, v4, v5) = v6 & (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & element(v5, v3) = v7)) & (v6 = 0 | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & related(v2, v4, v5) = v7))))) & ! [v2] : ( ~ (subrelstr(v2, v0) = 0) | ? [v3] : (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (related(v0, v4, v5) = v6) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v0, v4, v5) = v6) | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & related(v2, v4, v5) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & element(v5, v3) = v7)) & (v6 = 0 | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & related(v2, v4, v5) = v7)))))))) % 46.81/14.32 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) % 46.81/14.32 | (24) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) % 46.81/14.32 | (25) ! [v0] : ! [v1] : ( ~ (rel_str(v0) = 0) | ~ (subrelstr(v1, v0) = 0) | rel_str(v1) = 0) % 46.81/14.32 | (26) ? [v0] : ? [v1] : ? [v2] : relation_dom_restriction(v1, v0) = v2 % 46.81/14.32 | (27) ? [v0] : ? [v1] : ? [v2] : subrelstr(v1, v0) = v2 % 46.81/14.32 | (28) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v1) = v3 & element(v0, v3) = v4)) % 46.81/14.32 | (29) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (element(v2, v1) = 0 & empty(v2) = 0)) % 46.81/14.32 | (30) ~ (all_0_11_11 = 0) % 46.81/14.32 | (31) ! [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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) % 46.81/14.33 | (32) the_carrier(all_0_17_17) = all_0_16_16 % 46.81/14.33 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (the_mapping(v3, v2) = v1) | ~ (the_mapping(v3, v2) = v0)) % 46.81/14.33 | (34) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : relation_dom_restr_as_relation_of(v3, v2, v1, v0) = v4 % 46.81/14.33 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (the_carrier(v2) = v1) | ~ (the_carrier(v2) = v0)) % 46.81/14.33 | (36) ! [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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v4, v1, v3, v9) = v10) | ( ~ (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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7)))))))) % 46.81/14.34 | (37) ? [v0] : ? [v1] : one_sorted_str(v0) = v1 % 46.81/14.34 | (38) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) % 46.81/14.34 | (39) ! [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))) % 46.81/14.34 | (40) ? [v0] : ? [v1] : ? [v2] : ? [v3] : relation_of2(v2, v1, v0) = v3 % 46.81/14.34 | (41) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (rel_str(v1) = v2) | ~ (one_sorted_str(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & net_str(v1, v0) = v3)) % 46.81/14.34 | (42) subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = 0 % 46.81/14.34 | (43) ! [v0] : ( ~ (rel_str(v0) = 0) | ? [v1] : subrelstr(v1, v0) = 0) % 46.81/14.34 | (44) ! [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)) % 46.81/14.34 | (45) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) % 46.81/14.34 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_of2_as_subset(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation_of2(v2, v0, v1) = v4)) % 46.81/14.34 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (relation_of2(v2, v0, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & relation_of2_as_subset(v2, v0, v1) = v4)) % 46.81/14.34 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0)) % 46.81/14.34 | (49) relation(all_0_5_5) = 0 % 46.81/14.34 | (50) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | element(v0, v2) = 0) % 46.81/14.34 | (51) ? [v0] : ? [v1] : relation(v0) = v1 % 46.81/14.34 | (52) ! [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))) % 46.81/14.34 | (53) empty(all_0_7_7) = all_0_6_6 % 46.81/14.34 | (54) ~ (all_0_6_6 = 0) % 46.81/14.34 | (55) ? [v0] : ? [v1] : ? [v2] : ? [v3] : subnetstr(v2, v1, v0) = v3 % 46.81/14.34 | (56) ? [v0] : ? [v1] : rel_str(v0) = v1 % 46.81/14.34 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) % 46.81/14.34 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ (cartesian_product2(v0, v1) = v2) | ? [v3] : ((v3 = 0 & empty(v1) = 0) | (v3 = 0 & empty(v0) = 0) | ( ~ (v3 = 0) & empty(v2) = v3))) % 46.81/14.34 | (59) ? [v0] : ? [v1] : ? [v2] : element(v1, v0) = v2 % 46.81/14.34 | (60) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) % 46.81/14.34 | (61) ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) % 46.81/14.34 | (62) ? [v0] : ? [v1] : ? [v2] : net_str(v1, v0) = v2 % 46.81/14.34 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (quasi_total(v4, v3, v2) = v1) | ~ (quasi_total(v4, v3, v2) = v0)) % 46.81/14.34 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (cartesian_product2(v0, v1) = v3) | ~ (powerset(v3) = v4) | ~ (element(v2, v4) = 0) | relation(v2) = 0) % 46.81/14.34 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & related(v2, v4, v5) = v7) | ( ~ (v7 = 0) & rel_str(v0) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) % 46.81/14.34 | (66) ! [v0] : ! [v1] : (v1 = 0 | ~ (one_sorted_str(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & rel_str(v0) = v2)) % 46.81/14.34 | (67) relation(all_0_7_7) = 0 % 46.81/14.34 | (68) ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ((v2 = 0 & empty(v1) = 0) | (v2 = 0 & in(v0, v1) = 0))) % 46.81/14.34 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (net_str(v3, v2) = v1) | ~ (net_str(v3, v2) = v0)) % 46.81/14.34 | (70) relation(all_0_3_3) = 0 % 46.81/14.34 | (71) function(all_0_2_2) = 0 % 46.81/14.34 | (72) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & element(v2, v1) = 0 & empty(v2) = v4) | (v2 = 0 & empty(v0) = 0))) % 46.81/14.34 | (73) relation(all_0_4_4) = 0 % 46.81/14.34 | (74) ! [v0] : ! [v1] : ( ~ (in(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2)) % 46.81/14.34 | (75) relation_empty_yielding(empty_set) = 0 % 46.81/14.34 | (76) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (powerset(v1) = v2 & element(v0, v2) = 0)) % 46.81/14.34 | (77) ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) % 46.81/14.34 | (78) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0) % 46.81/14.34 | (79) one_sorted_str(all_0_18_18) = 0 % 46.81/14.34 | (80) ! [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))) % 46.81/14.34 | (81) ! [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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) % 46.81/14.35 | (82) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | element(v0, v1) = 0) % 46.81/14.35 | (83) relation(all_0_10_10) = 0 % 46.81/14.35 | (84) one_sorted_str(all_0_1_1) = 0 % 46.81/14.35 | (85) net_str(all_0_17_17, all_0_18_18) = 0 % 46.81/14.35 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0)) % 46.81/14.35 | (87) relation(all_0_2_2) = 0 % 46.81/14.35 | (88) ? [v0] : ? [v1] : ? [v2] : relation_of2_as_subset(v2, v0, v1) = 0 % 46.81/14.35 | (89) ? [v0] : ? [v1] : function(v0) = v1 % 46.81/14.35 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (subnetstr(v4, v3, v2) = v1) | ~ (subnetstr(v4, v3, v2) = v0)) % 46.81/14.35 | (91) ! [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))) % 46.81/14.35 | (92) relation_empty_yielding(all_0_3_3) = 0 % 46.81/14.35 | (93) element(all_0_12_12, all_0_16_16) = 0 % 46.81/14.35 | (94) related(all_0_17_17, all_0_13_13, all_0_12_12) = all_0_11_11 % 46.81/14.35 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (rel_str(v2) = v1) | ~ (rel_str(v2) = v0)) % 46.81/14.35 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_dom_restriction(v3, v2) = v1) | ~ (relation_dom_restriction(v3, v2) = v0)) % 46.81/14.35 | (97) ! [v0] : ! [v1] : ! [v2] : ( ~ (subrelstr(v2, v0) = 0) | ~ (the_carrier(v0) = v1) | ? [v3] : (( ~ (v3 = 0) & rel_str(v0) = v3) | (the_carrier(v2) = v3 & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (related(v0, v4, v5) = v6) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v0, v4, v5) = v6) | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & related(v2, v4, v5) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) & ! [v4] : ! [v5] : ( ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (related(v0, v4, v5) = v6 & (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & element(v5, v3) = v7)) & (v6 = 0 | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & related(v2, v4, v5) = v7))))))) % 46.81/14.35 | (98) ! [v0] : ( ~ (empty(v0) = 0) | relation(v0) = 0) % 46.81/14.35 | (99) ! [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))) % 46.81/14.35 | (100) ? [v0] : ? [v1] : one_to_one(v0) = v1 % 46.81/14.35 | (101) ! [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] : ( ~ (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 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10)) & ((v10 = v8 & v6 = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7))))) & ! [v5] : ! [v6] : ( ~ (subnetstr(v5, v0, v2) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (( ~ (v7 = 0) & net_str(v5, v0) = v7) | (( ~ (v6 = 0) | (v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8)) & (v6 = 0 | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v6) | ( ~ (v7 = 0) & subnetstr(v5, v0, v2) = v7)) & ((v7 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v6) & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (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 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v6) = v9) | ( ~ (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] : ( ~ (net_str(v5, v0) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (((v10 = v8 & v7 = 0 & subrelstr(v5, v2) = 0 & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v8) | ( ~ (v6 = 0) & subnetstr(v5, v0, v2) = v6)) & ((v6 = 0 & subnetstr(v5, v0, v2) = 0) | ( ~ (v10 = v8) & the_mapping(v0, v5) = v8 & the_carrier(v5) = v9 & relation_dom_restr_as_relation_of(v3, v1, v4, v9) = v10) | ( ~ (v7 = 0) & subrelstr(v5, v2) = v7))))))) % 46.81/14.35 | (102) ? [v0] : ? [v1] : powerset(v0) = v1 % 46.81/14.35 | (103) ! [v0] : ( ~ (rel_str(v0) = 0) | one_sorted_str(v0) = 0) % 46.81/14.35 | (104) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) % 46.81/14.35 | (105) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) % 46.81/14.35 | (106) ! [v0] : ( ~ (empty(v0) = 0) | function(v0) = 0) % 46.81/14.35 | (107) ? [v0] : ? [v1] : ? [v2] : ? [v3] : relation_of2_as_subset(v2, v1, v0) = v3 % 46.81/14.35 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_sorted_str(v2) = v1) | ~ (one_sorted_str(v2) = v0)) % 46.81/14.35 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v5, v1) = 0) | ~ (element(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & rel_str(v0) = v6) | ( ~ (v6 = 0) & subrelstr(v2, v0) = v6) | (related(v0, v4, v5) = v6 & (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & element(v5, v3) = v7)) & (v6 = 0 | ~ (element(v5, v3) = 0) | ~ (element(v4, v3) = 0) | ? [v7] : ( ~ (v7 = 0) & related(v2, v4, v5) = v7))))) % 46.81/14.35 | (110) ! [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))) % 46.81/14.35 | (111) relation_empty_yielding(all_0_10_10) = 0 % 46.81/14.35 | (112) ? [v0] : ? [v1] : ? [v2] : in(v1, v0) = v2 % 46.81/14.35 | (113) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2_as_subset(v2, v0, v1) = 0) | relation_of2(v2, v0, v1) = 0) % 46.81/14.35 | (114) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_of2(v2, v0, v1) = 0) | relation_of2_as_subset(v2, v0, v1) = 0) % 46.81/14.35 | (115) ! [v0] : ! [v1] : ( ~ (net_str(v1, v0) = 0) | ? [v2] : ? [v3] : ((v3 = 0 & subnetstr(v2, v0, v1) = 0) | ( ~ (v2 = 0) & one_sorted_str(v0) = v2))) % 46.81/14.35 | (116) related(all_0_15_15, all_0_13_13, all_0_12_12) = 0 % 46.81/14.35 | (117) function(all_0_10_10) = 0 % 46.81/14.35 | (118) ! [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)) % 46.81/14.35 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) % 46.81/14.35 | (120) element(all_0_13_13, all_0_16_16) = 0 % 46.81/14.35 | (121) relation(empty_set) = 0 % 46.81/14.35 | (122) ! [v0] : ! [v1] : (v1 = 0 | ~ (empty(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v0) = v2 & element(v3, v2) = 0 & empty(v3) = v4)) % 46.81/14.35 | (123) function(all_0_8_8) = 0 % 46.81/14.35 | (124) ? [v0] : ? [v1] : the_carrier(v0) = v1 % 46.81/14.35 | (125) relation(all_0_8_8) = 0 % 46.81/14.35 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) % 46.81/14.36 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2_as_subset(v4, v3, v2) = v1) | ~ (relation_of2_as_subset(v4, v3, v2) = v0)) % 46.81/14.36 | (128) ? [v0] : ? [v1] : ? [v2] : ? [v3] : quasi_total(v2, v1, v0) = v3 % 46.81/14.36 | (129) ? [v0] : ? [v1] : ? [v2] : cartesian_product2(v1, v0) = v2 % 46.81/14.36 | (130) ? [v0] : ? [v1] : element(v1, v0) = 0 % 46.81/14.36 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (related(v2, v4, v5) = 0) | ~ (related(v0, v4, v5) = v6) | ~ (the_carrier(v2) = v3) | ~ (the_carrier(v0) = v1) | ~ (element(v4, v3) = 0) | ~ (element(v4, v1) = 0) | ? [v7] : (( ~ (v7 = 0) & rel_str(v0) = v7) | ( ~ (v7 = 0) & subrelstr(v2, v0) = v7) | ( ~ (v7 = 0) & element(v5, v3) = v7) | ( ~ (v7 = 0) & element(v5, v1) = v7))) % 46.81/14.36 | (132) ? [v0] : ? [v1] : ? [v2] : the_mapping(v1, v0) = v2 % 46.81/14.36 | (133) one_to_one(all_0_8_8) = 0 % 46.81/14.36 | (134) ! [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))) % 46.81/14.36 | (135) ? [v0] : ? [v1] : empty(v0) = v1 % 46.81/14.36 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subrelstr(v3, v2) = v1) | ~ (subrelstr(v3, v2) = v0)) % 46.81/14.36 | (137) ! [v0] : ! [v1] : ! [v2] : ( ~ (empty(v2) = 0) | ~ (in(v0, v1) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & powerset(v2) = v3 & element(v1, v3) = v4)) % 46.81/14.36 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4)) % 46.81/14.36 | (139) ! [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))) % 46.81/14.36 | (140) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom_restriction(v0, v1) = v2) | ? [v3] : ((v3 = 0 & relation(v2) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) % 46.81/14.36 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (relation_of2(v4, v3, v2) = v1) | ~ (relation_of2(v4, v3, v2) = v0)) % 46.81/14.36 | (142) function(all_0_5_5) = 0 % 46.81/14.36 | (143) ? [v0] : ? [v1] : ? [v2] : ? [v3] : related(v2, v1, v0) = v3 % 46.81/14.36 | (144) ! [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)) % 46.81/14.36 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) % 46.81/14.36 | (146) rel_str(all_0_0_0) = 0 % 46.81/14.36 | (147) ! [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))) % 46.81/14.36 | (148) empty(all_0_5_5) = 0 % 46.81/14.36 | (149) ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) % 46.81/14.36 | (150) ? [v0] : ? [v1] : ? [v2] : relation_of2(v2, v0, v1) = 0 % 46.81/14.36 | (151) ! [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)) % 46.81/14.36 | (152) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (in(v0, v1) = v2) | ? [v3] : ((v3 = 0 & empty(v1) = 0) | ( ~ (v3 = 0) & element(v0, v1) = v3))) % 46.81/14.36 | (153) the_carrier(all_0_15_15) = all_0_14_14 % 46.81/14.36 | (154) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) % 46.81/14.36 | % 46.81/14.36 | Instantiating formula (36) with all_0_18_18 and discharging atoms one_sorted_str(all_0_18_18) = 0, yields: % 46.81/14.36 | (155) ? [v0] : (the_carrier(all_0_18_18) = v0 & ! [v1] : ! [v2] : ( ~ (the_mapping(all_0_18_18, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & net_str(v1, all_0_18_18) = v3) | (the_carrier(v1) = v3 & ! [v4] : ! [v5] : ( ~ (subrelstr(v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (( ~ (v5 = 0) | (v6 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v9)) & ((v9 = v7 & v5 = 0 & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v7) | ( ~ (v6 = 0) & subnetstr(v4, all_0_18_18, v1) = v6))))) & ! [v4] : ! [v5] : ( ~ (subnetstr(v4, all_0_18_18, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (( ~ (v5 = 0) | (v9 = v7 & v6 = 0 & subrelstr(v4, v1) = 0 & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v7)) & (v5 = 0 | ( ~ (v9 = v7) & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v9) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))) & ! [v4] : ! [v5] : ( ~ (the_mapping(all_0_18_18, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (((v9 = v5 & v7 = 0 & subrelstr(v4, v1) = 0 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v5) | ( ~ (v6 = 0) & subnetstr(v4, all_0_18_18, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v5) & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v9) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ! [v5] : ( ~ (the_carrier(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (((v9 = v8 & v7 = 0 & subrelstr(v4, v1) = 0 & the_mapping(all_0_18_18, v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v5) = v8) | ( ~ (v6 = 0) & subnetstr(v4, all_0_18_18, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v8) & the_mapping(all_0_18_18, v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v5) = v9) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ( ~ (net_str(v4, all_0_18_18) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (((v9 = v7 & v6 = 0 & subrelstr(v4, v1) = 0 & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v7) | ( ~ (v5 = 0) & subnetstr(v4, all_0_18_18, v1) = v5)) & ((v5 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v3, v0, v2, v8) = v9) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))))) & ! [v1] : ! [v2] : ( ~ (the_carrier(v1) = v2) | ? [v3] : (( ~ (v3 = 0) & net_str(v1, all_0_18_18) = v3) | (the_mapping(all_0_18_18, v1) = v3 & ! [v4] : ! [v5] : ( ~ (subrelstr(v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (( ~ (v5 = 0) | (v6 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9)) & ((v9 = v7 & v5 = 0 & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7) | ( ~ (v6 = 0) & subnetstr(v4, all_0_18_18, v1) = v6))))) & ! [v4] : ! [v5] : ( ~ (subnetstr(v4, all_0_18_18, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (( ~ (v5 = 0) | (v9 = v7 & v6 = 0 & subrelstr(v4, v1) = 0 & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7)) & (v5 = 0 | ( ~ (v9 = v7) & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))) & ! [v4] : ! [v5] : ( ~ (the_mapping(all_0_18_18, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (((v9 = v5 & v7 = 0 & subrelstr(v4, v1) = 0 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v5) | ( ~ (v6 = 0) & subnetstr(v4, all_0_18_18, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v5) & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ! [v5] : ( ~ (the_carrier(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (((v9 = v8 & v7 = 0 & subrelstr(v4, v1) = 0 & the_mapping(all_0_18_18, v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v5) = v8) | ( ~ (v6 = 0) & subnetstr(v4, all_0_18_18, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v8) & the_mapping(all_0_18_18, v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v5) = v9) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ( ~ (net_str(v4, all_0_18_18) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (((v9 = v7 & v6 = 0 & subrelstr(v4, v1) = 0 & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7) | ( ~ (v5 = 0) & subnetstr(v4, all_0_18_18, v1) = v5)) & ((v5 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))))) & ! [v1] : ( ~ (net_str(v1, all_0_18_18) = 0) | ? [v2] : ? [v3] : (the_mapping(all_0_18_18, v1) = v3 & the_carrier(v1) = v2 & ! [v4] : ! [v5] : ( ~ (subrelstr(v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (( ~ (v5 = 0) | (v6 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9)) & ((v9 = v7 & v5 = 0 & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7) | ( ~ (v6 = 0) & subnetstr(v4, all_0_18_18, v1) = v6))))) & ! [v4] : ! [v5] : ( ~ (subnetstr(v4, all_0_18_18, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (( ~ (v5 = 0) | (v9 = v7 & v6 = 0 & subrelstr(v4, v1) = 0 & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7)) & (v5 = 0 | ( ~ (v9 = v7) & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))) & ! [v4] : ! [v5] : ( ~ (the_mapping(all_0_18_18, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (((v9 = v5 & v7 = 0 & subrelstr(v4, v1) = 0 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v5) | ( ~ (v6 = 0) & subnetstr(v4, all_0_18_18, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v5) & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ! [v5] : ( ~ (the_carrier(v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (( ~ (v6 = 0) & net_str(v4, all_0_18_18) = v6) | (((v9 = v8 & v7 = 0 & subrelstr(v4, v1) = 0 & the_mapping(all_0_18_18, v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v5) = v8) | ( ~ (v6 = 0) & subnetstr(v4, all_0_18_18, v1) = v6)) & ((v6 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v8) & the_mapping(all_0_18_18, v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v5) = v9) | ( ~ (v7 = 0) & subrelstr(v4, v1) = v7))))) & ! [v4] : ( ~ (net_str(v4, all_0_18_18) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (((v9 = v7 & v6 = 0 & subrelstr(v4, v1) = 0 & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v7) | ( ~ (v5 = 0) & subnetstr(v4, all_0_18_18, v1) = v5)) & ((v5 = 0 & subnetstr(v4, all_0_18_18, v1) = 0) | ( ~ (v9 = v7) & the_mapping(all_0_18_18, v4) = v7 & the_carrier(v4) = v8 & relation_dom_restr_as_relation_of(v2, v0, v3, v8) = v9) | ( ~ (v6 = 0) & subrelstr(v4, v1) = v6))))))) % 47.27/14.37 | % 47.27/14.37 | Instantiating formula (15) with all_0_17_17, all_0_18_18 and discharging atoms one_sorted_str(all_0_18_18) = 0, net_str(all_0_17_17, all_0_18_18) = 0, yields: % 47.27/14.37 | (156) rel_str(all_0_17_17) = 0 % 47.27/14.37 | % 47.27/14.37 | Instantiating formula (9) with all_0_15_15, all_0_17_17, all_0_18_18 and discharging atoms net_str(all_0_17_17, all_0_18_18) = 0, subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = 0, yields: % 47.27/14.37 | (157) ? [v0] : ((v0 = 0 & net_str(all_0_15_15, all_0_18_18) = 0) | ( ~ (v0 = 0) & one_sorted_str(all_0_18_18) = v0)) % 47.27/14.37 | % 47.27/14.37 | Instantiating formula (65) with all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17 and discharging atoms related(all_0_17_17, all_0_13_13, all_0_12_12) = all_0_11_11, the_carrier(all_0_15_15) = all_0_14_14, the_carrier(all_0_17_17) = all_0_16_16, element(all_0_12_12, all_0_14_14) = 0, element(all_0_13_13, all_0_14_14) = 0, element(all_0_13_13, all_0_16_16) = 0, yields: % 47.27/14.37 | (158) all_0_11_11 = 0 | ? [v0] : (( ~ (v0 = 0) & related(all_0_15_15, all_0_13_13, all_0_12_12) = v0) | ( ~ (v0 = 0) & rel_str(all_0_17_17) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_15_15, all_0_17_17) = v0) | ( ~ (v0 = 0) & element(all_0_12_12, all_0_16_16) = v0)) % 47.27/14.37 | % 47.27/14.37 | Instantiating (155) with all_65_0_94 yields: % 47.27/14.37 | (159) the_carrier(all_0_18_18) = all_65_0_94 & ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_18_18, v0) = v1) | ? [v2] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (the_carrier(v0) = v2 & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v8)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v6) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_18_18, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v6)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_18_18, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v4 & v6 = 0 & subrelstr(v3, v0) = 0 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v4) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v4) & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v7 & v6 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v4) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ( ~ (net_str(v3, all_0_18_18) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v6) | ( ~ (v4 = 0) & subnetstr(v3, all_0_18_18, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))))) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (the_mapping(all_0_18_18, v0) = v2 & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_18_18, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_18_18, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v4 & v6 = 0 & subrelstr(v3, v0) = 0 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v4) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v4) & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v7 & v6 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v4) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ( ~ (net_str(v3, all_0_18_18) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6) | ( ~ (v4 = 0) & subnetstr(v3, all_0_18_18, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))))) & ! [v0] : ( ~ (net_str(v0, all_0_18_18) = 0) | ? [v1] : ? [v2] : (the_mapping(all_0_18_18, v0) = v2 & the_carrier(v0) = v1 & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_18_18, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_18_18, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v4 & v6 = 0 & subrelstr(v3, v0) = 0 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v4) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v4) & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v7 & v6 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v4) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ( ~ (net_str(v3, all_0_18_18) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6) | ( ~ (v4 = 0) & subnetstr(v3, all_0_18_18, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)))))) % 47.27/14.38 | % 47.27/14.38 | Applying alpha-rule on (159) yields: % 47.27/14.38 | (160) the_carrier(all_0_18_18) = all_65_0_94 % 47.27/14.38 | (161) ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_18_18, v0) = v1) | ? [v2] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (the_carrier(v0) = v2 & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v8)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v6) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_18_18, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v6)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_18_18, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v4 & v6 = 0 & subrelstr(v3, v0) = 0 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v4) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v4) & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v7 & v6 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v4) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ( ~ (net_str(v3, all_0_18_18) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v6) | ( ~ (v4 = 0) & subnetstr(v3, all_0_18_18, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v2, all_65_0_94, v1, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))))) % 47.27/14.38 | (162) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (the_mapping(all_0_18_18, v0) = v2 & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_18_18, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_18_18, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v4 & v6 = 0 & subrelstr(v3, v0) = 0 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v4) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v4) & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v7 & v6 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v4) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ( ~ (net_str(v3, all_0_18_18) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6) | ( ~ (v4 = 0) & subnetstr(v3, all_0_18_18, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))))) % 47.27/14.38 | (163) ! [v0] : ( ~ (net_str(v0, all_0_18_18) = 0) | ? [v1] : ? [v2] : (the_mapping(all_0_18_18, v0) = v2 & the_carrier(v0) = v1 & ! [v3] : ! [v4] : ( ~ (subrelstr(v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8)) & ((v8 = v6 & v4 = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (subnetstr(v3, all_0_18_18, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (( ~ (v4 = 0) | (v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6)) & (v4 = 0 | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5))))) & ! [v3] : ! [v4] : ( ~ (the_mapping(all_0_18_18, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v4 & v6 = 0 & subrelstr(v3, v0) = 0 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v4) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v4) & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ! [v4] : ( ~ (the_carrier(v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (( ~ (v5 = 0) & net_str(v3, all_0_18_18) = v5) | (((v8 = v7 & v6 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v4) = v7) | ( ~ (v5 = 0) & subnetstr(v3, all_0_18_18, v0) = v5)) & ((v5 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v7) & the_mapping(all_0_18_18, v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v4) = v8) | ( ~ (v6 = 0) & subrelstr(v3, v0) = v6))))) & ! [v3] : ( ~ (net_str(v3, all_0_18_18) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (((v8 = v6 & v5 = 0 & subrelstr(v3, v0) = 0 & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v6) | ( ~ (v4 = 0) & subnetstr(v3, all_0_18_18, v0) = v4)) & ((v4 = 0 & subnetstr(v3, all_0_18_18, v0) = 0) | ( ~ (v8 = v6) & the_mapping(all_0_18_18, v3) = v6 & the_carrier(v3) = v7 & relation_dom_restr_as_relation_of(v1, all_65_0_94, v2, v7) = v8) | ( ~ (v5 = 0) & subrelstr(v3, v0) = v5)))))) % 47.27/14.38 | % 47.27/14.38 | Instantiating formula (163) with all_0_17_17 and discharging atoms net_str(all_0_17_17, all_0_18_18) = 0, yields: % 47.27/14.39 | (164) ? [v0] : ? [v1] : (the_mapping(all_0_18_18, all_0_17_17) = v1 & the_carrier(all_0_17_17) = v0 & ! [v2] : ! [v3] : ( ~ (subrelstr(v2, all_0_17_17) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v4 = 0) & net_str(v2, all_0_18_18) = v4) | (( ~ (v3 = 0) | (v4 = 0 & subnetstr(v2, all_0_18_18, all_0_17_17) = 0) | ( ~ (v7 = v5) & the_mapping(all_0_18_18, v2) = v5 & the_carrier(v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v6) = v7)) & ((v7 = v5 & v3 = 0 & the_mapping(all_0_18_18, v2) = v5 & the_carrier(v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v6) = v5) | ( ~ (v4 = 0) & subnetstr(v2, all_0_18_18, all_0_17_17) = v4))))) & ! [v2] : ! [v3] : ( ~ (subnetstr(v2, all_0_18_18, all_0_17_17) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v4 = 0) & net_str(v2, all_0_18_18) = v4) | (( ~ (v3 = 0) | (v7 = v5 & v4 = 0 & subrelstr(v2, all_0_17_17) = 0 & the_mapping(all_0_18_18, v2) = v5 & the_carrier(v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v6) = v5)) & (v3 = 0 | ( ~ (v7 = v5) & the_mapping(all_0_18_18, v2) = v5 & the_carrier(v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v6) = v7) | ( ~ (v4 = 0) & subrelstr(v2, all_0_17_17) = v4))))) & ! [v2] : ! [v3] : ( ~ (the_mapping(all_0_18_18, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v4 = 0) & net_str(v2, all_0_18_18) = v4) | (((v7 = v3 & v5 = 0 & subrelstr(v2, all_0_17_17) = 0 & the_carrier(v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v6) = v3) | ( ~ (v4 = 0) & subnetstr(v2, all_0_18_18, all_0_17_17) = v4)) & ((v4 = 0 & subnetstr(v2, all_0_18_18, all_0_17_17) = 0) | ( ~ (v7 = v3) & the_carrier(v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v6) = v7) | ( ~ (v5 = 0) & subrelstr(v2, all_0_17_17) = v5))))) & ! [v2] : ! [v3] : ( ~ (the_carrier(v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v4 = 0) & net_str(v2, all_0_18_18) = v4) | (((v7 = v6 & v5 = 0 & subrelstr(v2, all_0_17_17) = 0 & the_mapping(all_0_18_18, v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v3) = v6) | ( ~ (v4 = 0) & subnetstr(v2, all_0_18_18, all_0_17_17) = v4)) & ((v4 = 0 & subnetstr(v2, all_0_18_18, all_0_17_17) = 0) | ( ~ (v7 = v6) & the_mapping(all_0_18_18, v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v3) = v7) | ( ~ (v5 = 0) & subrelstr(v2, all_0_17_17) = v5))))) & ! [v2] : ( ~ (net_str(v2, all_0_18_18) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (((v7 = v5 & v4 = 0 & subrelstr(v2, all_0_17_17) = 0 & the_mapping(all_0_18_18, v2) = v5 & the_carrier(v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v6) = v5) | ( ~ (v3 = 0) & subnetstr(v2, all_0_18_18, all_0_17_17) = v3)) & ((v3 = 0 & subnetstr(v2, all_0_18_18, all_0_17_17) = 0) | ( ~ (v7 = v5) & the_mapping(all_0_18_18, v2) = v5 & the_carrier(v2) = v6 & relation_dom_restr_as_relation_of(v0, all_65_0_94, v1, v6) = v7) | ( ~ (v4 = 0) & subrelstr(v2, all_0_17_17) = v4))))) % 47.27/14.39 | % 47.27/14.39 | Instantiating (157) with all_94_0_114 yields: % 47.27/14.39 | (165) (all_94_0_114 = 0 & net_str(all_0_15_15, all_0_18_18) = 0) | ( ~ (all_94_0_114 = 0) & one_sorted_str(all_0_18_18) = all_94_0_114) % 47.27/14.39 | % 47.27/14.39 | Instantiating (164) with all_126_0_167, all_126_1_168 yields: % 47.27/14.39 | (166) the_mapping(all_0_18_18, all_0_17_17) = all_126_0_167 & the_carrier(all_0_17_17) = all_126_1_168 & ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_17_17) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (( ~ (v1 = 0) | (v2 = 0 & subnetstr(v0, all_0_18_18, all_0_17_17) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v5)) & ((v5 = v3 & v1 = 0 & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v3) | ( ~ (v2 = 0) & subnetstr(v0, all_0_18_18, all_0_17_17) = v2))))) & ! [v0] : ! [v1] : ( ~ (subnetstr(v0, all_0_18_18, all_0_17_17) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (( ~ (v1 = 0) | (v5 = v3 & v2 = 0 & subrelstr(v0, all_0_17_17) = 0 & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v3)) & (v1 = 0 | ( ~ (v5 = v3) & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v5) | ( ~ (v2 = 0) & subrelstr(v0, all_0_17_17) = v2))))) & ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_18_18, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (((v5 = v1 & v3 = 0 & subrelstr(v0, all_0_17_17) = 0 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v1) | ( ~ (v2 = 0) & subnetstr(v0, all_0_18_18, all_0_17_17) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_18_18, all_0_17_17) = 0) | ( ~ (v5 = v1) & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v5) | ( ~ (v3 = 0) & subrelstr(v0, all_0_17_17) = v3))))) & ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (((v5 = v4 & v3 = 0 & subrelstr(v0, all_0_17_17) = 0 & the_mapping(all_0_18_18, v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v1) = v4) | ( ~ (v2 = 0) & subnetstr(v0, all_0_18_18, all_0_17_17) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_18_18, all_0_17_17) = 0) | ( ~ (v5 = v4) & the_mapping(all_0_18_18, v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v1) = v5) | ( ~ (v3 = 0) & subrelstr(v0, all_0_17_17) = v3))))) & ! [v0] : ( ~ (net_str(v0, all_0_18_18) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = v3 & v2 = 0 & subrelstr(v0, all_0_17_17) = 0 & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v3) | ( ~ (v1 = 0) & subnetstr(v0, all_0_18_18, all_0_17_17) = v1)) & ((v1 = 0 & subnetstr(v0, all_0_18_18, all_0_17_17) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v5) | ( ~ (v2 = 0) & subrelstr(v0, all_0_17_17) = v2)))) % 47.27/14.39 | % 47.27/14.39 | Applying alpha-rule on (166) yields: % 47.27/14.39 | (167) ! [v0] : ( ~ (net_str(v0, all_0_18_18) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (((v5 = v3 & v2 = 0 & subrelstr(v0, all_0_17_17) = 0 & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v3) | ( ~ (v1 = 0) & subnetstr(v0, all_0_18_18, all_0_17_17) = v1)) & ((v1 = 0 & subnetstr(v0, all_0_18_18, all_0_17_17) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v5) | ( ~ (v2 = 0) & subrelstr(v0, all_0_17_17) = v2)))) % 47.27/14.39 | (168) the_carrier(all_0_17_17) = all_126_1_168 % 47.27/14.39 | (169) ! [v0] : ! [v1] : ( ~ (the_carrier(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (((v5 = v4 & v3 = 0 & subrelstr(v0, all_0_17_17) = 0 & the_mapping(all_0_18_18, v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v1) = v4) | ( ~ (v2 = 0) & subnetstr(v0, all_0_18_18, all_0_17_17) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_18_18, all_0_17_17) = 0) | ( ~ (v5 = v4) & the_mapping(all_0_18_18, v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v1) = v5) | ( ~ (v3 = 0) & subrelstr(v0, all_0_17_17) = v3))))) % 47.27/14.39 | (170) the_mapping(all_0_18_18, all_0_17_17) = all_126_0_167 % 47.27/14.39 | (171) ! [v0] : ! [v1] : ( ~ (subrelstr(v0, all_0_17_17) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (( ~ (v1 = 0) | (v2 = 0 & subnetstr(v0, all_0_18_18, all_0_17_17) = 0) | ( ~ (v5 = v3) & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v5)) & ((v5 = v3 & v1 = 0 & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v3) | ( ~ (v2 = 0) & subnetstr(v0, all_0_18_18, all_0_17_17) = v2))))) % 47.27/14.39 | (172) ! [v0] : ! [v1] : ( ~ (the_mapping(all_0_18_18, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (((v5 = v1 & v3 = 0 & subrelstr(v0, all_0_17_17) = 0 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v1) | ( ~ (v2 = 0) & subnetstr(v0, all_0_18_18, all_0_17_17) = v2)) & ((v2 = 0 & subnetstr(v0, all_0_18_18, all_0_17_17) = 0) | ( ~ (v5 = v1) & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v5) | ( ~ (v3 = 0) & subrelstr(v0, all_0_17_17) = v3))))) % 47.27/14.39 | (173) ! [v0] : ! [v1] : ( ~ (subnetstr(v0, all_0_18_18, all_0_17_17) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (( ~ (v2 = 0) & net_str(v0, all_0_18_18) = v2) | (( ~ (v1 = 0) | (v5 = v3 & v2 = 0 & subrelstr(v0, all_0_17_17) = 0 & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v3)) & (v1 = 0 | ( ~ (v5 = v3) & the_mapping(all_0_18_18, v0) = v3 & the_carrier(v0) = v4 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, v4) = v5) | ( ~ (v2 = 0) & subrelstr(v0, all_0_17_17) = v2))))) % 47.27/14.39 | % 47.27/14.39 | Instantiating formula (169) with all_0_14_14, all_0_15_15 and discharging atoms the_carrier(all_0_15_15) = all_0_14_14, yields: % 47.27/14.39 | (174) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (( ~ (v0 = 0) & net_str(all_0_15_15, all_0_18_18) = v0) | (((v3 = v2 & v1 = 0 & subrelstr(all_0_15_15, all_0_17_17) = 0 & the_mapping(all_0_18_18, all_0_15_15) = v2 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = v2) | ( ~ (v0 = 0) & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = v0)) & ((v0 = 0 & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = 0) | ( ~ (v3 = v2) & the_mapping(all_0_18_18, all_0_15_15) = v2 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = v3) | ( ~ (v1 = 0) & subrelstr(all_0_15_15, all_0_17_17) = v1)))) % 47.27/14.39 | % 47.27/14.39 | Instantiating (174) with all_132_0_175, all_132_1_176, all_132_2_177, all_132_3_178 yields: % 47.27/14.39 | (175) ( ~ (all_132_3_178 = 0) & net_str(all_0_15_15, all_0_18_18) = all_132_3_178) | (((all_132_0_175 = all_132_1_176 & all_132_2_177 = 0 & subrelstr(all_0_15_15, all_0_17_17) = 0 & the_mapping(all_0_18_18, all_0_15_15) = all_132_1_176 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = all_132_1_176) | ( ~ (all_132_3_178 = 0) & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = all_132_3_178)) & ((all_132_3_178 = 0 & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = 0) | ( ~ (all_132_0_175 = all_132_1_176) & the_mapping(all_0_18_18, all_0_15_15) = all_132_1_176 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = all_132_0_175) | ( ~ (all_132_2_177 = 0) & subrelstr(all_0_15_15, all_0_17_17) = all_132_2_177))) % 47.27/14.39 | % 47.27/14.39 +-Applying beta-rule and splitting (158), into two cases. % 47.27/14.39 |-Branch one: % 47.27/14.39 | (176) all_0_11_11 = 0 % 47.27/14.39 | % 47.27/14.39 | Equations (176) can reduce 30 to: % 47.27/14.39 | (177) $false % 47.27/14.40 | % 47.27/14.40 |-The branch is then unsatisfiable % 47.27/14.40 |-Branch two: % 47.27/14.40 | (30) ~ (all_0_11_11 = 0) % 47.27/14.40 | (179) ? [v0] : (( ~ (v0 = 0) & related(all_0_15_15, all_0_13_13, all_0_12_12) = v0) | ( ~ (v0 = 0) & rel_str(all_0_17_17) = v0) | ( ~ (v0 = 0) & subrelstr(all_0_15_15, all_0_17_17) = v0) | ( ~ (v0 = 0) & element(all_0_12_12, all_0_16_16) = v0)) % 47.27/14.40 | % 47.27/14.40 | Instantiating (179) with all_146_0_188 yields: % 47.27/14.40 | (180) ( ~ (all_146_0_188 = 0) & related(all_0_15_15, all_0_13_13, all_0_12_12) = all_146_0_188) | ( ~ (all_146_0_188 = 0) & rel_str(all_0_17_17) = all_146_0_188) | ( ~ (all_146_0_188 = 0) & subrelstr(all_0_15_15, all_0_17_17) = all_146_0_188) | ( ~ (all_146_0_188 = 0) & element(all_0_12_12, all_0_16_16) = all_146_0_188) % 47.27/14.40 | % 47.27/14.40 +-Applying beta-rule and splitting (180), into two cases. % 47.27/14.40 |-Branch one: % 47.27/14.40 | (181) ( ~ (all_146_0_188 = 0) & related(all_0_15_15, all_0_13_13, all_0_12_12) = all_146_0_188) | ( ~ (all_146_0_188 = 0) & rel_str(all_0_17_17) = all_146_0_188) | ( ~ (all_146_0_188 = 0) & subrelstr(all_0_15_15, all_0_17_17) = all_146_0_188) % 47.27/14.40 | % 47.39/14.40 +-Applying beta-rule and splitting (181), into two cases. % 47.39/14.40 |-Branch one: % 47.39/14.40 | (182) ( ~ (all_146_0_188 = 0) & related(all_0_15_15, all_0_13_13, all_0_12_12) = all_146_0_188) | ( ~ (all_146_0_188 = 0) & rel_str(all_0_17_17) = all_146_0_188) % 47.39/14.40 | % 47.39/14.40 +-Applying beta-rule and splitting (182), into two cases. % 47.39/14.40 |-Branch one: % 47.39/14.40 | (183) ~ (all_146_0_188 = 0) & related(all_0_15_15, all_0_13_13, all_0_12_12) = all_146_0_188 % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (183) yields: % 47.39/14.40 | (184) ~ (all_146_0_188 = 0) % 47.39/14.40 | (185) related(all_0_15_15, all_0_13_13, all_0_12_12) = all_146_0_188 % 47.39/14.40 | % 47.39/14.40 | Instantiating formula (8) with all_0_15_15, all_0_13_13, all_0_12_12, all_146_0_188, 0 and discharging atoms related(all_0_15_15, all_0_13_13, all_0_12_12) = all_146_0_188, related(all_0_15_15, all_0_13_13, all_0_12_12) = 0, yields: % 47.39/14.40 | (186) all_146_0_188 = 0 % 47.39/14.40 | % 47.39/14.40 | Equations (186) can reduce 184 to: % 47.39/14.40 | (177) $false % 47.39/14.40 | % 47.39/14.40 |-The branch is then unsatisfiable % 47.39/14.40 |-Branch two: % 47.39/14.40 | (188) ~ (all_146_0_188 = 0) & rel_str(all_0_17_17) = all_146_0_188 % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (188) yields: % 47.39/14.40 | (184) ~ (all_146_0_188 = 0) % 47.39/14.40 | (190) rel_str(all_0_17_17) = all_146_0_188 % 47.39/14.40 | % 47.39/14.40 | Instantiating formula (95) with all_0_17_17, 0, all_146_0_188 and discharging atoms rel_str(all_0_17_17) = all_146_0_188, rel_str(all_0_17_17) = 0, yields: % 47.39/14.40 | (186) all_146_0_188 = 0 % 47.39/14.40 | % 47.39/14.40 | Equations (186) can reduce 184 to: % 47.39/14.40 | (177) $false % 47.39/14.40 | % 47.39/14.40 |-The branch is then unsatisfiable % 47.39/14.40 |-Branch two: % 47.39/14.40 | (193) ~ (all_146_0_188 = 0) & subrelstr(all_0_15_15, all_0_17_17) = all_146_0_188 % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (193) yields: % 47.39/14.40 | (184) ~ (all_146_0_188 = 0) % 47.39/14.40 | (195) subrelstr(all_0_15_15, all_0_17_17) = all_146_0_188 % 47.39/14.40 | % 47.39/14.40 +-Applying beta-rule and splitting (165), into two cases. % 47.39/14.40 |-Branch one: % 47.39/14.40 | (196) all_94_0_114 = 0 & net_str(all_0_15_15, all_0_18_18) = 0 % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (196) yields: % 47.39/14.40 | (197) all_94_0_114 = 0 % 47.39/14.40 | (198) net_str(all_0_15_15, all_0_18_18) = 0 % 47.39/14.40 | % 47.39/14.40 +-Applying beta-rule and splitting (175), into two cases. % 47.39/14.40 |-Branch one: % 47.39/14.40 | (199) ~ (all_132_3_178 = 0) & net_str(all_0_15_15, all_0_18_18) = all_132_3_178 % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (199) yields: % 47.39/14.40 | (200) ~ (all_132_3_178 = 0) % 47.39/14.40 | (201) net_str(all_0_15_15, all_0_18_18) = all_132_3_178 % 47.39/14.40 | % 47.39/14.40 | Instantiating formula (69) with all_0_15_15, all_0_18_18, 0, all_132_3_178 and discharging atoms net_str(all_0_15_15, all_0_18_18) = all_132_3_178, net_str(all_0_15_15, all_0_18_18) = 0, yields: % 47.39/14.40 | (202) all_132_3_178 = 0 % 47.39/14.40 | % 47.39/14.40 | Equations (202) can reduce 200 to: % 47.39/14.40 | (177) $false % 47.39/14.40 | % 47.39/14.40 |-The branch is then unsatisfiable % 47.39/14.40 |-Branch two: % 47.39/14.40 | (204) ((all_132_0_175 = all_132_1_176 & all_132_2_177 = 0 & subrelstr(all_0_15_15, all_0_17_17) = 0 & the_mapping(all_0_18_18, all_0_15_15) = all_132_1_176 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = all_132_1_176) | ( ~ (all_132_3_178 = 0) & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = all_132_3_178)) & ((all_132_3_178 = 0 & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = 0) | ( ~ (all_132_0_175 = all_132_1_176) & the_mapping(all_0_18_18, all_0_15_15) = all_132_1_176 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = all_132_0_175) | ( ~ (all_132_2_177 = 0) & subrelstr(all_0_15_15, all_0_17_17) = all_132_2_177)) % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (204) yields: % 47.39/14.40 | (205) (all_132_0_175 = all_132_1_176 & all_132_2_177 = 0 & subrelstr(all_0_15_15, all_0_17_17) = 0 & the_mapping(all_0_18_18, all_0_15_15) = all_132_1_176 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = all_132_1_176) | ( ~ (all_132_3_178 = 0) & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = all_132_3_178) % 47.39/14.40 | (206) (all_132_3_178 = 0 & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = 0) | ( ~ (all_132_0_175 = all_132_1_176) & the_mapping(all_0_18_18, all_0_15_15) = all_132_1_176 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = all_132_0_175) | ( ~ (all_132_2_177 = 0) & subrelstr(all_0_15_15, all_0_17_17) = all_132_2_177) % 47.39/14.40 | % 47.39/14.40 +-Applying beta-rule and splitting (205), into two cases. % 47.39/14.40 |-Branch one: % 47.39/14.40 | (207) all_132_0_175 = all_132_1_176 & all_132_2_177 = 0 & subrelstr(all_0_15_15, all_0_17_17) = 0 & the_mapping(all_0_18_18, all_0_15_15) = all_132_1_176 & relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = all_132_1_176 % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (207) yields: % 47.39/14.40 | (208) all_132_0_175 = all_132_1_176 % 47.39/14.40 | (209) relation_dom_restr_as_relation_of(all_126_1_168, all_65_0_94, all_126_0_167, all_0_14_14) = all_132_1_176 % 47.39/14.40 | (210) subrelstr(all_0_15_15, all_0_17_17) = 0 % 47.39/14.40 | (211) the_mapping(all_0_18_18, all_0_15_15) = all_132_1_176 % 47.39/14.40 | (212) all_132_2_177 = 0 % 47.39/14.40 | % 47.39/14.40 | Instantiating formula (136) with all_0_15_15, all_0_17_17, 0, all_146_0_188 and discharging atoms subrelstr(all_0_15_15, all_0_17_17) = all_146_0_188, subrelstr(all_0_15_15, all_0_17_17) = 0, yields: % 47.39/14.40 | (186) all_146_0_188 = 0 % 47.39/14.40 | % 47.39/14.40 | Equations (186) can reduce 184 to: % 47.39/14.40 | (177) $false % 47.39/14.40 | % 47.39/14.40 |-The branch is then unsatisfiable % 47.39/14.40 |-Branch two: % 47.39/14.40 | (215) ~ (all_132_3_178 = 0) & subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = all_132_3_178 % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (215) yields: % 47.39/14.40 | (200) ~ (all_132_3_178 = 0) % 47.39/14.40 | (217) subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = all_132_3_178 % 47.39/14.40 | % 47.39/14.40 | Instantiating formula (90) with all_0_15_15, all_0_18_18, all_0_17_17, all_132_3_178, 0 and discharging atoms subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = all_132_3_178, subnetstr(all_0_15_15, all_0_18_18, all_0_17_17) = 0, yields: % 47.39/14.40 | (202) all_132_3_178 = 0 % 47.39/14.40 | % 47.39/14.40 | Equations (202) can reduce 200 to: % 47.39/14.40 | (177) $false % 47.39/14.40 | % 47.39/14.40 |-The branch is then unsatisfiable % 47.39/14.40 |-Branch two: % 47.39/14.40 | (220) ~ (all_94_0_114 = 0) & one_sorted_str(all_0_18_18) = all_94_0_114 % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (220) yields: % 47.39/14.40 | (221) ~ (all_94_0_114 = 0) % 47.39/14.40 | (222) one_sorted_str(all_0_18_18) = all_94_0_114 % 47.39/14.40 | % 47.39/14.40 | Instantiating formula (108) with all_0_18_18, all_94_0_114, 0 and discharging atoms one_sorted_str(all_0_18_18) = all_94_0_114, one_sorted_str(all_0_18_18) = 0, yields: % 47.39/14.40 | (197) all_94_0_114 = 0 % 47.39/14.40 | % 47.39/14.40 | Equations (197) can reduce 221 to: % 47.39/14.40 | (177) $false % 47.39/14.40 | % 47.39/14.40 |-The branch is then unsatisfiable % 47.39/14.40 |-Branch two: % 47.39/14.40 | (225) ~ (all_146_0_188 = 0) & element(all_0_12_12, all_0_16_16) = all_146_0_188 % 47.39/14.40 | % 47.39/14.40 | Applying alpha-rule on (225) yields: % 47.39/14.40 | (184) ~ (all_146_0_188 = 0) % 47.39/14.40 | (227) element(all_0_12_12, all_0_16_16) = all_146_0_188 % 47.39/14.40 | % 47.39/14.40 | Instantiating formula (6) with all_0_12_12, all_0_16_16, all_146_0_188, 0 and discharging atoms element(all_0_12_12, all_0_16_16) = all_146_0_188, element(all_0_12_12, all_0_16_16) = 0, yields: % 47.39/14.40 | (186) all_146_0_188 = 0 % 47.39/14.40 | % 47.39/14.40 | Equations (186) can reduce 184 to: % 47.39/14.40 | (177) $false % 47.39/14.40 | % 47.39/14.40 |-The branch is then unsatisfiable % 47.39/14.40 % SZS output end Proof for theBenchmark % 47.39/14.40 % 47.39/14.40 13809ms %------------------------------------------------------------------------------