%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET719+4 : TPTP v8.1.0. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 00:21:36 EDT 2022 % Result : Theorem 11.43s 3.26s % Output : Proof 26.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SET719+4 : TPTP v8.1.0. Bugfixed v2.2.1. % 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n005.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 09:38:52 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.57 ____ _ % 0.19/0.57 ___ / __ \_____(_)___ ________ __________ % 0.19/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.57 % 0.19/0.57 A Theorem Prover for First-Order Logic % 0.19/0.57 (ePrincess v.1.0) % 0.19/0.57 % 0.19/0.57 (c) Philipp Rümmer, 2009-2015 % 0.19/0.57 (c) Peter Backeman, 2014-2015 % 0.19/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.57 Bug reports to peter@backeman.se % 0.19/0.57 % 0.19/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.57 % 0.19/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.76/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.75/1.00 Prover 0: Preprocessing ... % 3.18/1.34 Prover 0: Warning: ignoring some quantifiers % 3.18/1.38 Prover 0: Constructing countermodel ... % 4.51/1.67 Prover 0: gave up % 4.51/1.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 4.79/1.72 Prover 1: Preprocessing ... % 5.83/1.94 Prover 1: Constructing countermodel ... % 8.09/2.44 Prover 1: gave up % 8.09/2.44 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 8.09/2.48 Prover 2: Preprocessing ... % 9.40/2.76 Prover 2: Warning: ignoring some quantifiers % 9.40/2.78 Prover 2: Constructing countermodel ... % 11.43/3.26 Prover 2: proved (820ms) % 11.43/3.26 % 11.43/3.26 No countermodel exists, formula is valid % 11.43/3.26 % SZS status Theorem for theBenchmark % 11.43/3.27 % 11.43/3.27 Generating proof ... Warning: ignoring some quantifiers % 25.31/6.50 found it (size 206) % 25.31/6.50 % 25.31/6.50 % SZS output start Proof for theBenchmark % 25.31/6.50 Assumed formulas after preprocessing and simplification: % 25.31/6.50 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & inverse_function(v5, v2, v4) = v6 & inverse_function(v1, v3, v4) = v8 & inverse_function(v0, v2, v3) = v7 & one_to_one(v1, v3, v4) = 0 & one_to_one(v0, v2, v3) = 0 & equal_maps(v6, v9, v4, v2) = v10 & compose_function(v7, v8, v4, v3, v2) = v9 & compose_function(v1, v0, v2, v3, v4) = v5 & maps(v1, v3, v4) = 0 & maps(v0, v2, v3) = 0 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v17, v19) = v20) | ~ (apply(v13, v16, v18) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v17, v19) = 0) | ~ (apply(v13, v16, v18) = v20) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v19, v17) = v20) | ~ (apply(v13, v16, v18) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v19, v17) = v20) | ~ (apply(v11, v18, v19) = 0) | ~ (member(v16, v12) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v13, v16, v18) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v19, v17) = v20) | ~ (apply(v11, v16, v17) = 0) | ~ (member(v18, v12) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v13, v16, v18) = v21) | ( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v19, v17) = v20) | ~ (member(v18, v12) = 0) | ~ (member(v16, v12) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v13, v16, v18) = v21) | ( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v17, v19) = v20) | ~ (apply(v13, v16, v18) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v17, v19) = v20) | ~ (apply(v11, v18, v19) = 0) | ~ (member(v16, v12) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v13, v16, v18) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v17, v19) = v20) | ~ (apply(v11, v16, v17) = 0) | ~ (member(v18, v12) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v13, v16, v18) = v21) | ( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v20 = 0 | ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v17, v19) = v20) | ~ (member(v18, v12) = 0) | ~ (member(v16, v12) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v13, v16, v18) = v21) | ( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (compose_function(v11, v12, v13, v14, v15) = v18) | ~ (apply(v18, v16, v17) = v19) | ~ (apply(v12, v16, v20) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v20, v17) = v21) | ( ~ (v21 = 0) & member(v20, v14) = v21) | ( ~ (v21 = 0) & member(v17, v15) = v21) | ( ~ (v21 = 0) & member(v16, v13) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (compose_function(v11, v12, v13, v14, v15) = v18) | ~ (apply(v18, v16, v17) = v19) | ~ (apply(v11, v20, v17) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v12, v16, v20) = v21) | ( ~ (v21 = 0) & member(v20, v14) = v21) | ( ~ (v21 = 0) & member(v17, v15) = v21) | ( ~ (v21 = 0) & member(v16, v13) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (compose_function(v11, v12, v13, v14, v15) = v18) | ~ (apply(v18, v16, v17) = v19) | ~ (member(v20, v14) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v12, v16, v20) = v21) | ( ~ (v21 = 0) & apply(v11, v20, v17) = v21) | ( ~ (v21 = 0) & member(v17, v15) = v21) | ( ~ (v21 = 0) & member(v16, v13) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (compose_predicate(v11, v12, v13, v14, v15, v16) = 0) | ~ (apply(v13, v17, v20) = 0) | ~ (apply(v11, v17, v18) = v19) | ? [v21] : (( ~ (v21 = 0) & apply(v12, v20, v18) = v21) | ( ~ (v21 = 0) & member(v20, v15) = v21) | ( ~ (v21 = 0) & member(v18, v16) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (compose_predicate(v11, v12, v13, v14, v15, v16) = 0) | ~ (apply(v12, v20, v18) = 0) | ~ (apply(v11, v17, v18) = v19) | ? [v21] : (( ~ (v21 = 0) & apply(v13, v17, v20) = v21) | ( ~ (v21 = 0) & member(v20, v15) = v21) | ( ~ (v21 = 0) & member(v18, v16) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : (v19 = 0 | ~ (compose_predicate(v11, v12, v13, v14, v15, v16) = 0) | ~ (apply(v11, v17, v18) = v19) | ~ (member(v20, v15) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v13, v17, v20) = v21) | ( ~ (v21 = 0) & apply(v12, v20, v18) = v21) | ( ~ (v21 = 0) & member(v18, v16) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v17, v19) = v20) | ~ (apply(v11, v18, v19) = 0) | ~ (member(v16, v12) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | (( ~ (v20 = 0) | (v21 = 0 & apply(v13, v16, v18) = 0)) & (v20 = 0 | ( ~ (v21 = 0) & apply(v13, v16, v18) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v17, v19) = v20) | ~ (apply(v11, v16, v17) = 0) | ~ (member(v18, v12) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21) | (( ~ (v20 = 0) | (v21 = 0 & apply(v13, v16, v18) = 0)) & (v20 = 0 | ( ~ (v21 = 0) & apply(v13, v16, v18) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v15, v17, v19) = v20) | ~ (member(v18, v12) = 0) | ~ (member(v16, v12) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | (( ~ (v20 = 0) | (v21 = 0 & apply(v13, v16, v18) = 0)) & (v20 = 0 | ( ~ (v21 = 0) & apply(v13, v16, v18) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v13, v16, v18) = v20) | ~ (apply(v11, v18, v19) = 0) | ~ (member(v17, v14) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v19, v14) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21) | (( ~ (v20 = 0) | (v21 = 0 & apply(v15, v17, v19) = 0)) & (v20 = 0 | ( ~ (v21 = 0) & apply(v15, v17, v19) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v13, v16, v18) = v20) | ~ (apply(v11, v16, v17) = 0) | ~ (member(v19, v14) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v17, v14) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21) | (( ~ (v20 = 0) | (v21 = 0 & apply(v15, v17, v19) = 0)) & (v20 = 0 | ( ~ (v21 = 0) & apply(v15, v17, v19) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ! [v20] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v13, v16, v18) = v20) | ~ (member(v19, v14) = 0) | ~ (member(v17, v14) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v11, v18, v19) = v21) | ( ~ (v21 = 0) & apply(v11, v16, v17) = v21) | ( ~ (v21 = 0) & member(v18, v12) = v21) | ( ~ (v21 = 0) & member(v16, v12) = v21) | (( ~ (v20 = 0) | (v21 = 0 & apply(v15, v17, v19) = 0)) & (v20 = 0 | ( ~ (v21 = 0) & apply(v15, v17, v19) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v18, v19) = 0) | ~ (apply(v11, v16, v17) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & member(v19, v14) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | ( ~ (v20 = 0) & member(v17, v14) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20) | (((v21 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20)) & ((v20 = 0 & apply(v13, v16, v18) = 0) | ( ~ (v21 = 0) & apply(v15, v17, v19) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v18, v19) = 0) | ~ (member(v17, v14) = 0) | ~ (member(v16, v12) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & apply(v11, v16, v17) = v20) | ( ~ (v20 = 0) & member(v19, v14) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | (((v21 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20)) & ((v20 = 0 & apply(v13, v16, v18) = 0) | ( ~ (v21 = 0) & apply(v15, v17, v19) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v16, v17) = 0) | ~ (member(v19, v14) = 0) | ~ (member(v18, v12) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & member(v17, v14) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20) | (((v21 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20)) & ((v20 = 0 & apply(v13, v16, v18) = 0) | ( ~ (v21 = 0) & apply(v15, v17, v19) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | ~ (member(v19, v14) = 0) | ~ (member(v18, v12) = 0) | ~ (member(v17, v14) = 0) | ~ (member(v16, v12) = 0) | ? [v20] : ? [v21] : (( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & apply(v11, v16, v17) = v20) | (((v21 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20)) & ((v20 = 0 & apply(v13, v16, v18) = 0) | ( ~ (v21 = 0) & apply(v15, v17, v19) = v21))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v13, v16, v18) = 0) | ~ (apply(v11, v18, v19) = 0) | ~ (member(v17, v14) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v19, v17) = 0) | ( ~ (v20 = 0) & apply(v11, v16, v17) = v20) | ( ~ (v20 = 0) & member(v19, v14) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v13, v16, v18) = 0) | ~ (apply(v11, v16, v17) = 0) | ~ (member(v19, v14) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v19, v17) = 0) | ( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | ( ~ (v20 = 0) & member(v17, v14) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v13, v16, v18) = 0) | ~ (member(v19, v14) = 0) | ~ (member(v17, v14) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v19, v17) = 0) | ( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & apply(v11, v16, v17) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v18, v19) = 0) | ~ (apply(v11, v16, v17) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v19, v17) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20) | ( ~ (v20 = 0) & member(v19, v14) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | ( ~ (v20 = 0) & member(v17, v14) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v18, v19) = 0) | ~ (member(v17, v14) = 0) | ~ (member(v16, v12) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v19, v17) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20) | ( ~ (v20 = 0) & apply(v11, v16, v17) = v20) | ( ~ (v20 = 0) & member(v19, v14) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v16, v17) = 0) | ~ (member(v19, v14) = 0) | ~ (member(v18, v12) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v19, v17) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20) | ( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & member(v17, v14) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (decreasing(v11, v12, v13, v14, v15) = 0) | ~ (member(v19, v14) = 0) | ~ (member(v18, v12) = 0) | ~ (member(v17, v14) = 0) | ~ (member(v16, v12) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v19, v17) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20) | ( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & apply(v11, v16, v17) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v13, v16, v18) = 0) | ~ (apply(v11, v18, v19) = 0) | ~ (member(v17, v14) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v11, v16, v17) = v20) | ( ~ (v20 = 0) & member(v19, v14) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v13, v16, v18) = 0) | ~ (apply(v11, v16, v17) = 0) | ~ (member(v19, v14) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | ( ~ (v20 = 0) & member(v17, v14) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v13, v16, v18) = 0) | ~ (member(v19, v14) = 0) | ~ (member(v17, v14) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & apply(v11, v16, v17) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v18, v19) = 0) | ~ (apply(v11, v16, v17) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20) | ( ~ (v20 = 0) & member(v19, v14) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20) | ( ~ (v20 = 0) & member(v17, v14) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v18, v19) = 0) | ~ (member(v17, v14) = 0) | ~ (member(v16, v12) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20) | ( ~ (v20 = 0) & apply(v11, v16, v17) = v20) | ( ~ (v20 = 0) & member(v19, v14) = v20) | ( ~ (v20 = 0) & member(v18, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (apply(v11, v16, v17) = 0) | ~ (member(v19, v14) = 0) | ~ (member(v18, v12) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20) | ( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & member(v17, v14) = v20) | ( ~ (v20 = 0) & member(v16, v12) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ! [v19] : ( ~ (increasing(v11, v12, v13, v14, v15) = 0) | ~ (member(v19, v14) = 0) | ~ (member(v18, v12) = 0) | ~ (member(v17, v14) = 0) | ~ (member(v16, v12) = 0) | ? [v20] : ((v20 = 0 & apply(v15, v17, v19) = 0) | ( ~ (v20 = 0) & apply(v13, v16, v18) = v20) | ( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ~ (v20 = 0) & apply(v11, v16, v17) = v20))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v12 = v11 | ~ (compose_predicate(v18, v17, v16, v15, v14, v13) = v12) | ~ (compose_predicate(v18, v17, v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (compose_function(v11, v12, v13, v14, v15) = v18) | ~ (apply(v18, v16, v17) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v22 = 0 & v21 = 0 & v20 = 0 & apply(v12, v16, v19) = 0 & apply(v11, v19, v17) = 0 & member(v19, v14) = 0) | ( ~ (v19 = 0) & member(v17, v15) = v19) | ( ~ (v19 = 0) & member(v16, v13) = v19))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (compose_predicate(v11, v12, v13, v14, v15, v16) = 0) | ~ (apply(v11, v17, v18) = 0) | ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v22 = 0 & v21 = 0 & v20 = 0 & apply(v13, v17, v19) = 0 & apply(v12, v19, v18) = 0 & member(v19, v15) = 0) | ( ~ (v19 = 0) & member(v18, v16) = v19) | ( ~ (v19 = 0) & member(v17, v14) = v19))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (equal_maps(v11, v12, v13, v14) = 0) | ~ (apply(v12, v15, v17) = 0) | ~ (apply(v11, v15, v16) = 0) | ? [v18] : (( ~ (v18 = 0) & member(v17, v14) = v18) | ( ~ (v18 = 0) & member(v16, v14) = v18) | ( ~ (v18 = 0) & member(v15, v13) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (equal_maps(v11, v12, v13, v14) = 0) | ~ (apply(v12, v15, v17) = 0) | ~ (member(v16, v14) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v11, v15, v16) = v18) | ( ~ (v18 = 0) & member(v17, v14) = v18) | ( ~ (v18 = 0) & member(v15, v13) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (equal_maps(v11, v12, v13, v14) = 0) | ~ (apply(v11, v15, v16) = 0) | ~ (member(v17, v14) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v12, v15, v17) = v18) | ( ~ (v18 = 0) & member(v16, v14) = v18) | ( ~ (v18 = 0) & member(v15, v13) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = v16 | ~ (equal_maps(v11, v12, v13, v14) = 0) | ~ (member(v17, v14) = 0) | ~ (member(v16, v14) = 0) | ~ (member(v15, v13) = 0) | ? [v18] : (( ~ (v18 = 0) & apply(v12, v15, v17) = v18) | ( ~ (v18 = 0) & apply(v11, v15, v16) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (compose_predicate(v11, v12, v13, v14, v15, v16) = v17) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (member(v19, v16) = 0 & member(v18, v14) = 0 & ((v24 = 0 & v23 = 0 & v22 = 0 & apply(v13, v18, v21) = 0 & apply(v12, v21, v19) = 0 & member(v21, v15) = 0) | (v20 = 0 & apply(v11, v18, v19) = 0)) & (( ~ (v20 = 0) & apply(v11, v18, v19) = v20) | ( ! [v25] : ( ~ (apply(v13, v18, v25) = 0) | ? [v26] : (( ~ (v26 = 0) & apply(v12, v25, v19) = v26) | ( ~ (v26 = 0) & member(v25, v15) = v26))) & ! [v25] : ( ~ (apply(v12, v25, v19) = 0) | ? [v26] : (( ~ (v26 = 0) & apply(v13, v18, v25) = v26) | ( ~ (v26 = 0) & member(v25, v15) = v26))) & ! [v25] : ( ~ (member(v25, v15) = 0) | ? [v26] : (( ~ (v26 = 0) & apply(v13, v18, v25) = v26) | ( ~ (v26 = 0) & apply(v12, v25, v19) = v26))))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (inverse_image3(v11, v12, v13) = v15) | ~ (apply(v11, v14, v17) = 0) | ~ (member(v14, v15) = v16) | ? [v18] : (( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v14, v13) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (inverse_image3(v11, v12, v13) = v15) | ~ (member(v17, v12) = 0) | ~ (member(v14, v15) = v16) | ? [v18] : (( ~ (v18 = 0) & apply(v11, v14, v17) = v18) | ( ~ (v18 = 0) & member(v14, v13) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (image3(v11, v12, v13) = v15) | ~ (apply(v11, v17, v14) = 0) | ~ (member(v14, v15) = v16) | ? [v18] : (( ~ (v18 = 0) & member(v17, v12) = v18) | ( ~ (v18 = 0) & member(v14, v13) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v16 = 0 | ~ (image3(v11, v12, v13) = v15) | ~ (member(v17, v12) = 0) | ~ (member(v14, v15) = v16) | ? [v18] : (( ~ (v18 = 0) & apply(v11, v17, v14) = v18) | ( ~ (v18 = 0) & member(v14, v13) = v18))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v12 = v11 | ~ (isomorphism(v17, v16, v15, v14, v13) = v12) | ~ (isomorphism(v17, v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v12 = v11 | ~ (decreasing(v17, v16, v15, v14, v13) = v12) | ~ (decreasing(v17, v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v12 = v11 | ~ (increasing(v17, v16, v15, v14, v13) = v12) | ~ (increasing(v17, v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v12 = v11 | ~ (compose_function(v17, v16, v15, v14, v13) = v12) | ~ (compose_function(v17, v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (inverse_function(v11, v12, v13) = v16) | ~ (apply(v16, v15, v14) = v17) | ? [v18] : (( ~ (v18 = 0) & member(v15, v13) = v18) | ( ~ (v18 = 0) & member(v14, v12) = v18) | (( ~ (v17 = 0) | (v18 = 0 & apply(v11, v14, v15) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & apply(v11, v14, v15) = v18))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (inverse_predicate(v11, v12, v13, v14) = 0) | ~ (apply(v12, v15, v16) = v17) | ? [v18] : (( ~ (v18 = 0) & member(v16, v14) = v18) | ( ~ (v18 = 0) & member(v15, v13) = v18) | (( ~ (v17 = 0) | (v18 = 0 & apply(v11, v16, v15) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & apply(v11, v16, v15) = v18))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (inverse_predicate(v11, v12, v13, v14) = 0) | ~ (apply(v11, v16, v15) = v17) | ? [v18] : (( ~ (v18 = 0) & member(v16, v14) = v18) | ( ~ (v18 = 0) & member(v15, v13) = v18) | (( ~ (v17 = 0) | (v18 = 0 & apply(v12, v15, v16) = 0)) & (v17 = 0 | ( ~ (v18 = 0) & apply(v12, v15, v16) = v18))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v15 | ~ (maps(v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (apply(v11, v14, v15) = 0) | ? [v17] : (( ~ (v17 = 0) & member(v16, v13) = v17) | ( ~ (v17 = 0) & member(v15, v13) = v17) | ( ~ (v17 = 0) & member(v14, v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v15 | ~ (maps(v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (member(v15, v13) = 0) | ? [v17] : (( ~ (v17 = 0) & apply(v11, v14, v15) = v17) | ( ~ (v17 = 0) & member(v16, v13) = v17) | ( ~ (v17 = 0) & member(v14, v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v15 | ~ (maps(v11, v12, v13) = 0) | ~ (apply(v11, v14, v15) = 0) | ~ (member(v16, v13) = 0) | ? [v17] : (( ~ (v17 = 0) & apply(v11, v14, v16) = v17) | ( ~ (v17 = 0) & member(v15, v13) = v17) | ( ~ (v17 = 0) & member(v14, v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = v15 | ~ (maps(v11, v12, v13) = 0) | ~ (member(v16, v13) = 0) | ~ (member(v15, v13) = 0) | ~ (member(v14, v12) = 0) | ? [v17] : (( ~ (v17 = 0) & apply(v11, v14, v16) = v17) | ( ~ (v17 = 0) & apply(v11, v14, v15) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (isomorphism(v11, v12, v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ((v26 = 0 & v25 = 0 & v24 = 0 & v23 = 0 & v22 = 0 & v21 = 0 & apply(v11, v19, v20) = 0 & apply(v11, v17, v18) = 0 & member(v20, v14) = 0 & member(v19, v12) = 0 & member(v18, v14) = 0 & member(v17, v12) = 0 & ((v28 = 0 & apply(v15, v18, v20) = 0) | (v27 = 0 & apply(v13, v17, v19) = 0)) & (( ~ (v28 = 0) & apply(v15, v18, v20) = v28) | ( ~ (v27 = 0) & apply(v13, v17, v19) = v27))) | ( ~ (v17 = 0) & one_to_one(v11, v12, v14) = v17) | ( ~ (v17 = 0) & maps(v11, v12, v14) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (decreasing(v11, v12, v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ( ~ (v21 = 0) & apply(v15, v20, v18) = v21 & apply(v13, v17, v19) = 0 & apply(v11, v19, v20) = 0 & apply(v11, v17, v18) = 0 & member(v20, v14) = 0 & member(v19, v12) = 0 & member(v18, v14) = 0 & member(v17, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (increasing(v11, v12, v13, v14, v15) = v16) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ( ~ (v21 = 0) & apply(v15, v18, v20) = v21 & apply(v13, v17, v19) = 0 & apply(v11, v19, v20) = 0 & apply(v11, v17, v18) = 0 & member(v20, v14) = 0 & member(v19, v12) = 0 & member(v18, v14) = 0 & member(v17, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (injective(v11, v12, v13) = 0) | ~ (apply(v11, v15, v16) = 0) | ~ (apply(v11, v14, v16) = 0) | ? [v17] : (( ~ (v17 = 0) & member(v16, v13) = v17) | ( ~ (v17 = 0) & member(v15, v12) = v17) | ( ~ (v17 = 0) & member(v14, v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (injective(v11, v12, v13) = 0) | ~ (apply(v11, v15, v16) = 0) | ~ (member(v14, v12) = 0) | ? [v17] : (( ~ (v17 = 0) & apply(v11, v14, v16) = v17) | ( ~ (v17 = 0) & member(v16, v13) = v17) | ( ~ (v17 = 0) & member(v15, v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (injective(v11, v12, v13) = 0) | ~ (apply(v11, v14, v16) = 0) | ~ (member(v15, v12) = 0) | ? [v17] : (( ~ (v17 = 0) & apply(v11, v15, v16) = v17) | ( ~ (v17 = 0) & member(v16, v13) = v17) | ( ~ (v17 = 0) & member(v14, v12) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = v14 | ~ (injective(v11, v12, v13) = 0) | ~ (member(v16, v13) = 0) | ~ (member(v15, v12) = 0) | ~ (member(v14, v12) = 0) | ? [v17] : (( ~ (v17 = 0) & apply(v11, v15, v16) = v17) | ( ~ (v17 = 0) & apply(v11, v14, v16) = v17))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (inverse_image2(v11, v12) = v14) | ~ (apply(v11, v13, v16) = 0) | ~ (member(v13, v14) = v15) | ? [v17] : ( ~ (v17 = 0) & member(v16, v12) = v17)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (inverse_image2(v11, v12) = v14) | ~ (member(v16, v12) = 0) | ~ (member(v13, v14) = v15) | ? [v17] : ( ~ (v17 = 0) & apply(v11, v13, v16) = v17)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (image2(v11, v12) = v14) | ~ (apply(v11, v16, v13) = 0) | ~ (member(v13, v14) = v15) | ? [v17] : ( ~ (v17 = 0) & member(v16, v12) = v17)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v15 = 0 | ~ (image2(v11, v12) = v14) | ~ (member(v16, v12) = 0) | ~ (member(v13, v14) = v15) | ? [v17] : ( ~ (v17 = 0) & apply(v11, v16, v13) = v17)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v12 = v11 | ~ (inverse_predicate(v16, v15, v14, v13) = v12) | ~ (inverse_predicate(v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v12 = v11 | ~ (equal_maps(v16, v15, v14, v13) = v12) | ~ (equal_maps(v16, v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (inverse_predicate(v11, v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ? [v19] : (member(v17, v14) = 0 & member(v16, v13) = 0 & ((v19 = 0 & apply(v11, v17, v16) = 0) | (v18 = 0 & apply(v12, v16, v17) = 0)) & (( ~ (v19 = 0) & apply(v11, v17, v16) = v19) | ( ~ (v18 = 0) & apply(v12, v16, v17) = v18)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (equal_maps(v11, v12, v13, v14) = v15) | ? [v16] : ? [v17] : ? [v18] : ( ~ (v18 = v17) & apply(v12, v16, v18) = 0 & apply(v11, v16, v17) = 0 & member(v18, v14) = 0 & member(v17, v14) = 0 & member(v16, v13) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (product(v12) = v13) | ~ (member(v11, v14) = v15) | ~ (member(v11, v13) = 0) | ? [v16] : ( ~ (v16 = 0) & member(v14, v12) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (difference(v13, v12) = v14) | ~ (member(v11, v14) = v15) | ? [v16] : ((v16 = 0 & member(v11, v12) = 0) | ( ~ (v16 = 0) & member(v11, v13) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (union(v12, v13) = v14) | ~ (member(v11, v14) = v15) | ? [v16] : ? [v17] : ( ~ (v17 = 0) & ~ (v16 = 0) & member(v11, v13) = v17 & member(v11, v12) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (intersection(v12, v13) = v14) | ~ (member(v11, v14) = v15) | ? [v16] : (( ~ (v16 = 0) & member(v11, v13) = v16) | ( ~ (v16 = 0) & member(v11, v12) = v16))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (sum(v12) = v13) | ~ (member(v15, v12) = 0) | ~ (member(v11, v13) = v14) | ? [v16] : ( ~ (v16 = 0) & member(v11, v15) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (sum(v12) = v13) | ~ (member(v11, v15) = 0) | ~ (member(v11, v13) = v14) | ? [v16] : ( ~ (v16 = 0) & member(v15, v12) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (inverse_image3(v15, v14, v13) = v12) | ~ (inverse_image3(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (image3(v15, v14, v13) = v12) | ~ (image3(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (inverse_function(v15, v14, v13) = v12) | ~ (inverse_function(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (one_to_one(v15, v14, v13) = v12) | ~ (one_to_one(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (surjective(v15, v14, v13) = v12) | ~ (surjective(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (injective(v15, v14, v13) = v12) | ~ (injective(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (maps(v15, v14, v13) = v12) | ~ (maps(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v12 = v11 | ~ (apply(v15, v14, v13) = v12) | ~ (apply(v15, v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v11, v12, v13, v14, v15) = 0) | (one_to_one(v11, v12, v14) = 0 & maps(v11, v12, v14) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inverse_image3(v11, v12, v13) = v15) | ~ (member(v14, v15) = 0) | member(v14, v13) = 0) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (inverse_image3(v11, v12, v13) = v15) | ~ (member(v14, v15) = 0) | ? [v16] : (apply(v11, v14, v16) = 0 & member(v16, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (image3(v11, v12, v13) = v15) | ~ (member(v14, v15) = 0) | member(v14, v13) = 0) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (image3(v11, v12, v13) = v15) | ~ (member(v14, v15) = 0) | ? [v16] : (apply(v11, v16, v14) = 0 & member(v16, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (one_to_one(v11, v12, v13) = v14) | ? [v15] : (( ~ (v15 = 0) & surjective(v11, v12, v13) = v15) | ( ~ (v15 = 0) & injective(v11, v12, v13) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (surjective(v11, v12, v13) = v14) | ? [v15] : (member(v15, v13) = 0 & ! [v16] : ( ~ (apply(v11, v16, v15) = 0) | ? [v17] : ( ~ (v17 = 0) & member(v16, v12) = v17)) & ! [v16] : ( ~ (member(v16, v12) = 0) | ? [v17] : ( ~ (v17 = 0) & apply(v11, v16, v15) = v17)))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (injective(v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ( ~ (v16 = v15) & apply(v11, v16, v17) = 0 & apply(v11, v15, v17) = 0 & member(v17, v13) = 0 & member(v16, v12) = 0 & member(v15, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (identity(v11, v12) = 0) | ~ (apply(v11, v13, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & member(v13, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (maps(v11, v12, v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v22 = 0 & v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & ~ (v17 = v16) & apply(v11, v15, v17) = 0 & apply(v11, v15, v16) = 0 & member(v17, v13) = 0 & member(v16, v13) = 0 & member(v15, v12) = 0) | (v16 = 0 & member(v15, v12) = 0 & ! [v23] : ( ~ (apply(v11, v15, v23) = 0) | ? [v24] : ( ~ (v24 = 0) & member(v23, v13) = v24)) & ! [v23] : ( ~ (member(v23, v13) = 0) | ? [v24] : ( ~ (v24 = 0) & apply(v11, v15, v23) = v24))))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (product(v12) = v13) | ~ (member(v11, v13) = v14) | ? [v15] : ? [v16] : ( ~ (v16 = 0) & member(v15, v12) = 0 & member(v11, v15) = v16)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (unordered_pair(v12, v11) = v13) | ~ (member(v11, v13) = v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (unordered_pair(v11, v12) = v13) | ~ (member(v11, v13) = v14)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (power_set(v12) = v13) | ~ (member(v11, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & subset(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (subset(v11, v12) = 0) | ~ (member(v13, v12) = v14) | ? [v15] : ( ~ (v15 = 0) & member(v13, v11) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = v11 | v12 = v11 | ~ (unordered_pair(v12, v13) = v14) | ~ (member(v11, v14) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (inverse_image2(v14, v13) = v12) | ~ (inverse_image2(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (image2(v14, v13) = v12) | ~ (image2(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (identity(v14, v13) = v12) | ~ (identity(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (unordered_pair(v14, v13) = v12) | ~ (unordered_pair(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (difference(v14, v13) = v12) | ~ (difference(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (union(v14, v13) = v12) | ~ (union(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (intersection(v14, v13) = v12) | ~ (intersection(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (equal_set(v14, v13) = v12) | ~ (equal_set(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (subset(v14, v13) = v12) | ~ (subset(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (member(v14, v13) = v12) | ~ (member(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (inverse_image2(v11, v12) = v14) | ~ (member(v13, v14) = 0) | ? [v15] : (apply(v11, v13, v15) = 0 & member(v15, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (image2(v11, v12) = v14) | ~ (member(v13, v14) = 0) | ? [v15] : (apply(v11, v15, v13) = 0 & member(v15, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (surjective(v11, v12, v13) = v14) | ? [v15] : ((v15 = 0 & v14 = 0 & injective(v11, v12, v13) = 0) | ( ~ (v15 = 0) & one_to_one(v11, v12, v13) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (surjective(v11, v12, v13) = 0) | ~ (member(v14, v13) = 0) | ? [v15] : (apply(v11, v15, v14) = 0 & member(v15, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (injective(v11, v12, v13) = v14) | ? [v15] : ((v15 = 0 & v14 = 0 & surjective(v11, v12, v13) = 0) | ( ~ (v15 = 0) & one_to_one(v11, v12, v13) = v15))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (maps(v11, v12, v13) = 0) | ~ (member(v14, v12) = 0) | ? [v15] : (apply(v11, v14, v15) = 0 & member(v15, v13) = 0)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (product(v12) = v13) | ~ (member(v14, v12) = 0) | ~ (member(v11, v13) = 0) | member(v11, v14) = 0) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (difference(v13, v12) = v14) | ~ (member(v11, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & member(v11, v13) = 0 & member(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (union(v12, v13) = v14) | ~ (member(v11, v14) = 0) | ? [v15] : ((v15 = 0 & member(v11, v13) = 0) | (v15 = 0 & member(v11, v12) = 0))) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (intersection(v12, v13) = v14) | ~ (member(v11, v14) = 0) | (member(v11, v13) = 0 & member(v11, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (identity(v11, v12) = v13) | ? [v14] : ? [v15] : ( ~ (v15 = 0) & apply(v11, v14, v14) = v15 & member(v14, v12) = 0)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (singleton(v11) = v12) | ~ (member(v11, v12) = v13)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (equal_set(v11, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & subset(v12, v11) = v14) | ( ~ (v14 = 0) & subset(v11, v12) = v14))) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (subset(v11, v12) = v13) | ? [v14] : ? [v15] : ( ~ (v15 = 0) & power_set(v12) = v14 & member(v11, v14) = v15)) & ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (subset(v11, v12) = v13) | ? [v14] : ? [v15] : ( ~ (v15 = 0) & member(v14, v12) = v15 & member(v14, v11) = 0)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (product(v13) = v12) | ~ (product(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (sum(v13) = v12) | ~ (sum(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (singleton(v13) = v12) | ~ (singleton(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (singleton(v12) = v13) | ~ (member(v11, v13) = 0)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (power_set(v13) = v12) | ~ (power_set(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (one_to_one(v11, v12, v13) = 0) | (surjective(v11, v12, v13) = 0 & injective(v11, v12, v13) = 0)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (surjective(v11, v12, v13) = 0) | ? [v14] : ((v14 = 0 & one_to_one(v11, v12, v13) = 0) | ( ~ (v14 = 0) & injective(v11, v12, v13) = v14))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (injective(v11, v12, v13) = 0) | ? [v14] : ((v14 = 0 & one_to_one(v11, v12, v13) = 0) | ( ~ (v14 = 0) & surjective(v11, v12, v13) = v14))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (identity(v11, v12) = 0) | ~ (member(v13, v12) = 0) | apply(v11, v13, v13) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (sum(v12) = v13) | ~ (member(v11, v13) = 0) | ? [v14] : (member(v14, v12) = 0 & member(v11, v14) = 0)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (power_set(v12) = v13) | ~ (member(v11, v13) = 0) | subset(v11, v12) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (subset(v12, v11) = v13) | ? [v14] : ((v14 = 0 & v13 = 0 & subset(v11, v12) = 0) | ( ~ (v14 = 0) & equal_set(v11, v12) = v14))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (subset(v11, v12) = v13) | ? [v14] : ((v14 = 0 & v13 = 0 & subset(v12, v11) = 0) | ( ~ (v14 = 0) & equal_set(v11, v12) = v14))) & ! [v11] : ! [v12] : ! [v13] : ( ~ (subset(v11, v12) = 0) | ~ (member(v13, v11) = 0) | member(v13, v12) = 0) & ! [v11] : ! [v12] : ( ~ (equal_set(v11, v12) = 0) | (subset(v12, v11) = 0 & subset(v11, v12) = 0)) & ! [v11] : ! [v12] : ( ~ (subset(v12, v11) = 0) | ? [v13] : ((v13 = 0 & equal_set(v11, v12) = 0) | ( ~ (v13 = 0) & subset(v11, v12) = v13))) & ! [v11] : ! [v12] : ( ~ (subset(v11, v12) = 0) | ? [v13] : (power_set(v12) = v13 & member(v11, v13) = 0)) & ! [v11] : ! [v12] : ( ~ (subset(v11, v12) = 0) | ? [v13] : ((v13 = 0 & equal_set(v11, v12) = 0) | ( ~ (v13 = 0) & subset(v12, v11) = v13))) & ! [v11] : ~ (member(v11, empty_set) = 0) & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : compose_predicate(v16, v15, v14, v13, v12, v11) = v17 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : isomorphism(v15, v14, v13, v12, v11) = v16 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : decreasing(v15, v14, v13, v12, v11) = v16 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : increasing(v15, v14, v13, v12, v11) = v16 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : compose_function(v15, v14, v13, v12, v11) = v16 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : inverse_predicate(v14, v13, v12, v11) = v15 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : equal_maps(v14, v13, v12, v11) = v15 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : inverse_image3(v13, v12, v11) = v14 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : image3(v13, v12, v11) = v14 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : inverse_function(v13, v12, v11) = v14 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : one_to_one(v13, v12, v11) = v14 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : surjective(v13, v12, v11) = v14 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : injective(v13, v12, v11) = v14 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : maps(v13, v12, v11) = v14 & ? [v11] : ? [v12] : ? [v13] : ? [v14] : apply(v13, v12, v11) = v14 & ? [v11] : ? [v12] : ? [v13] : inverse_image2(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : image2(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : identity(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : unordered_pair(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : difference(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : union(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : intersection(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : equal_set(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : subset(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : member(v12, v11) = v13 & ? [v11] : ? [v12] : product(v11) = v12 & ? [v11] : ? [v12] : sum(v11) = v12 & ? [v11] : ? [v12] : singleton(v11) = v12 & ? [v11] : ? [v12] : power_set(v11) = v12) % 25.53/6.61 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 yields: % 25.53/6.61 | (1) ~ (all_0_0_0 = 0) & inverse_function(all_0_5_5, all_0_8_8, all_0_6_6) = all_0_4_4 & inverse_function(all_0_9_9, all_0_7_7, all_0_6_6) = all_0_2_2 & inverse_function(all_0_10_10, all_0_8_8, all_0_7_7) = all_0_3_3 & one_to_one(all_0_9_9, all_0_7_7, all_0_6_6) = 0 & one_to_one(all_0_10_10, all_0_8_8, all_0_7_7) = 0 & equal_maps(all_0_4_4, all_0_1_1, all_0_6_6, all_0_8_8) = all_0_0_0 & compose_function(all_0_3_3, all_0_2_2, all_0_6_6, all_0_7_7, all_0_8_8) = all_0_1_1 & compose_function(all_0_9_9, all_0_10_10, all_0_8_8, all_0_7_7, all_0_6_6) = all_0_5_5 & maps(all_0_9_9, all_0_7_7, all_0_6_6) = 0 & maps(all_0_10_10, all_0_8_8, all_0_7_7) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = 0) | ~ (apply(v2, v5, v7) = v9) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v1, v5, v9) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (member(v9, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v2, v6, v9) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v1, v9, v7) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = v8) | ~ (member(v9, v4) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v1, v5, v8) = 0 & apply(v0, v8, v6) = 0 & member(v8, v3) = 0) | ( ~ (v8 = 0) & member(v6, v4) = v8) | ( ~ (v8 = 0) & member(v5, v2) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v2, v6, v8) = 0 & apply(v1, v8, v7) = 0 & member(v8, v4) = 0) | ( ~ (v8 = 0) & member(v7, v5) = v8) | ( ~ (v8 = 0) & member(v6, v3) = v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ? [v7] : (( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (member(v5, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v4, v5) = v7) | ( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v6, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v3) = 0) | ~ (member(v4, v2) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & apply(v0, v4, v5) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (member(v8, v5) = 0 & member(v7, v3) = 0 & ((v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0) | (v9 = 0 & apply(v0, v7, v8) = 0)) & (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ! [v14] : ( ~ (apply(v2, v7, v14) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v1, v14, v8) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (member(v14, v4) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & apply(v1, v14, v8) = v15))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (apply(v0, v3, v6) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v3, v6) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (apply(v0, v6, v3) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v6, v3) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~ (compose_function(v6, v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, v4, v3) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v4, v2) = v7) | ( ~ (v7 = 0) & member(v3, v1) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v3, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v3, v4) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v5) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v5, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v5, v4) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v1, v4, v5) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v1, v4, v5) = v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v4) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ (member(v5, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v4) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & ((v17 = 0 & apply(v4, v7, v9) = 0) | (v16 = 0 & apply(v2, v6, v8) = 0)) & (( ~ (v17 = 0) & apply(v4, v7, v9) = v17) | ( ~ (v16 = 0) & apply(v2, v6, v8) = v16))) | ( ~ (v6 = 0) & one_to_one(v0, v1, v3) = v6) | ( ~ (v6 = 0) & maps(v0, v1, v3) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v9, v7) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v7, v9) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (apply(v0, v3, v5) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v1) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v5) = v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (apply(v0, v2, v5) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v2, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (apply(v0, v5, v2) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (inverse_predicate(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (member(v6, v3) = 0 & member(v5, v2) = 0 & ((v8 = 0 & apply(v0, v6, v5) = 0) | (v7 = 0 & apply(v1, v5, v6) = 0)) & (( ~ (v8 = 0) & apply(v0, v6, v5) = v8) | ( ~ (v7 = 0) & apply(v1, v5, v6) = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 & member(v7, v3) = 0 & member(v6, v3) = 0 & member(v5, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v3) = v4) | ~ (member(v0, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & member(v3, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ((v5 = 0 & member(v0, v1) = 0) | ( ~ (v5 = 0) & member(v0, v2) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v0, v2) = v6 & member(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : (( ~ (v5 = 0) & member(v0, v2) = v5) | ( ~ (v5 = 0) & member(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v4, v1) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v0, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v0, v4) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v3, v5) = 0 & member(v5, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (one_to_one(v0, v1, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & surjective(v0, v1, v2) = v4) | ( ~ (v4 = 0) & injective(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (surjective(v0, v1, v2) = v3) | ? [v4] : (member(v4, v2) = 0 & ! [v5] : ( ~ (apply(v0, v5, v4) = 0) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v5] : ( ~ (member(v5, v1) = 0) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v4) = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (injective(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v5 = v4) & apply(v0, v5, v6) = 0 & apply(v0, v4, v6) = 0 & member(v6, v2) = 0 & member(v5, v1) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (maps(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v4, v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v2) = 0 & member(v5, v2) = 0 & member(v4, v1) = 0) | (v5 = 0 & member(v4, v1) = 0 & ! [v12] : ( ~ (apply(v0, v4, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & member(v12, v2) = v13)) & ! [v12] : ( ~ (member(v12, v2) = 0) | ? [v13] : ( ~ (v13 = 0) & apply(v0, v4, v12) = v13))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = 0 & member(v0, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & injective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (injective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & surjective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ((v4 = 0 & member(v0, v2) = 0) | (v4 = 0 & member(v0, v1) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & subset(v1, v0) = v3) | ( ~ (v3 = 0) & subset(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (surjective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & injective(v0, v1, v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (injective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & surjective(v0, v1, v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v0, v1) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v1, v0) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) & ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v0, v1) = v2))) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v1, v0) = v2))) & ! [v0] : ~ (member(v0, empty_set) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : compose_predicate(v5, v4, v3, v2, v1, v0) = v6 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : isomorphism(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : decreasing(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : increasing(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : compose_function(v4, v3, v2, v1, v0) = v5 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : inverse_predicate(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : equal_maps(v3, v2, v1, v0) = v4 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_image3(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : image3(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_function(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : one_to_one(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : surjective(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : injective(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : maps(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : ? [v3] : apply(v2, v1, v0) = v3 & ? [v0] : ? [v1] : ? [v2] : inverse_image2(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : image2(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : identity(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : unordered_pair(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : difference(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : union(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : intersection(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : equal_set(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : member(v1, v0) = v2 & ? [v0] : ? [v1] : product(v0) = v1 & ? [v0] : ? [v1] : sum(v0) = v1 & ? [v0] : ? [v1] : singleton(v0) = v1 & ? [v0] : ? [v1] : power_set(v0) = v1 % 25.97/6.66 | % 25.97/6.66 | Applying alpha-rule on (1) yields: % 25.97/6.66 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v2, v5) = v6)) % 25.97/6.66 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v9, v7) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) % 25.97/6.66 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = v6) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : (member(v8, v5) = 0 & member(v7, v3) = 0 & ((v13 = 0 & v12 = 0 & v11 = 0 & apply(v2, v7, v10) = 0 & apply(v1, v10, v8) = 0 & member(v10, v4) = 0) | (v9 = 0 & apply(v0, v7, v8) = 0)) & (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ! [v14] : ( ~ (apply(v2, v7, v14) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v1, v14, v8) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (apply(v1, v14, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & member(v14, v4) = v15))) & ! [v14] : ( ~ (member(v14, v4) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v2, v7, v14) = v15) | ( ~ (v15 = 0) & apply(v1, v14, v8) = v15))))))) % 25.97/6.66 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0)) % 25.97/6.66 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0) % 25.97/6.66 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v3) = v4) | ~ (member(v0, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & member(v3, v1) = v5)) % 25.97/6.66 | (8) ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v0, v1) = v2))) % 25.97/6.66 | (9) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_image3(v2, v1, v0) = v3 % 25.97/6.66 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3)) % 25.97/6.66 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) % 25.97/6.66 | (12) ~ (all_0_0_0 = 0) % 25.97/6.66 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 25.97/6.66 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) % 25.97/6.67 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0)) % 25.97/6.67 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (apply(v0, v3, v5) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) % 25.97/6.67 | (17) ? [v0] : ? [v1] : ? [v2] : ? [v3] : image3(v2, v1, v0) = v3 % 25.97/6.67 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) % 25.97/6.67 | (19) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : equal_maps(v3, v2, v1, v0) = v4 % 25.97/6.67 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) % 25.97/6.67 | (21) ? [v0] : ? [v1] : ? [v2] : ? [v3] : surjective(v2, v1, v0) = v3 % 25.97/6.67 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & v11 = 0 & v10 = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0 & ((v17 = 0 & apply(v4, v7, v9) = 0) | (v16 = 0 & apply(v2, v6, v8) = 0)) & (( ~ (v17 = 0) & apply(v4, v7, v9) = v17) | ( ~ (v16 = 0) & apply(v2, v6, v8) = v16))) | ( ~ (v6 = 0) & one_to_one(v0, v1, v3) = v6) | ( ~ (v6 = 0) & maps(v0, v1, v3) = v6))) % 25.97/6.67 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ((v5 = 0 & member(v0, v1) = 0) | ( ~ (v5 = 0) & member(v0, v2) = v5))) % 25.97/6.67 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 25.97/6.67 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) % 25.97/6.67 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v4) = 0) | ~ (member(v5, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) % 25.97/6.67 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0)) % 25.97/6.67 | (28) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : inverse_predicate(v3, v2, v1, v0) = v4 % 25.97/6.67 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = v8) | ~ (member(v9, v4) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) % 25.97/6.67 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (apply(v0, v5, v2) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) % 25.97/6.67 | (31) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : compose_predicate(v5, v4, v3, v2, v1, v0) = v6 % 25.97/6.67 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) % 25.97/6.67 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9))) % 25.97/6.67 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0)) % 25.97/6.67 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (inverse_predicate(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (member(v6, v3) = 0 & member(v5, v2) = 0 & ((v8 = 0 & apply(v0, v6, v5) = 0) | (v7 = 0 & apply(v1, v5, v6) = 0)) & (( ~ (v8 = 0) & apply(v0, v6, v5) = v8) | ( ~ (v7 = 0) & apply(v1, v5, v6) = v7)))) % 25.97/6.67 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v6, v3) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) % 25.97/6.67 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) % 25.97/6.67 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) % 25.97/6.67 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (surjective(v0, v1, v2) = v3) | ? [v4] : (member(v4, v2) = 0 & ! [v5] : ( ~ (apply(v0, v5, v4) = 0) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) & ! [v5] : ( ~ (member(v5, v1) = 0) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v4) = v6)))) % 25.97/6.67 | (40) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : decreasing(v4, v3, v2, v1, v0) = v5 % 25.97/6.67 | (41) one_to_one(all_0_10_10, all_0_8_8, all_0_7_7) = 0 % 25.97/6.67 | (42) ? [v0] : ? [v1] : singleton(v0) = v1 % 25.97/6.67 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0)) % 25.97/6.67 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0)) % 25.97/6.67 | (45) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : increasing(v4, v3, v2, v1, v0) = v5 % 25.97/6.67 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0)) % 25.97/6.67 | (47) ? [v0] : ? [v1] : power_set(v0) = v1 % 25.97/6.67 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (compose_function(v6, v5, v4, v3, v2) = v1) | ~ (compose_function(v6, v5, v4, v3, v2) = v0)) % 25.97/6.67 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) % 25.97/6.67 | (50) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0)) % 25.97/6.67 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v0, v1) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) % 25.97/6.68 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0) % 25.97/6.68 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0)) % 25.97/6.68 | (54) one_to_one(all_0_9_9, all_0_7_7, all_0_6_6) = 0 % 25.97/6.68 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & member(v0, v2) = v6 & member(v0, v1) = v5)) % 25.97/6.68 | (56) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v1, v0) = v2))) % 25.97/6.68 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) % 25.97/6.68 | (58) compose_function(all_0_3_3, all_0_2_2, all_0_6_6, all_0_7_7, all_0_8_8) = all_0_1_1 % 25.97/6.68 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0)) % 25.97/6.68 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0)) % 25.97/6.68 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (image3(v0, v1, v2) = v4) | ~ (apply(v0, v6, v3) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) % 25.97/6.68 | (62) ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0)) % 25.97/6.68 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v3, v5) = 0 & member(v5, v1) = 0)) % 25.97/6.68 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3)) % 25.97/6.68 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0)) % 25.97/6.68 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v6, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) % 25.97/6.68 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v0, v5, v4) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v1, v4, v5) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v1, v4, v5) = v7))))) % 25.97/6.68 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (image2(v0, v1) = v3) | ~ (member(v5, v1) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & apply(v0, v5, v2) = v6)) % 25.97/6.68 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v4, v7, v9) = v10 & apply(v2, v6, v8) = 0 & apply(v0, v8, v9) = 0 & apply(v0, v6, v7) = 0 & member(v9, v3) = 0 & member(v8, v1) = 0 & member(v7, v3) = 0 & member(v6, v1) = 0)) % 25.97/6.68 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9))) % 25.97/6.68 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0)) % 25.97/6.68 | (72) ? [v0] : ? [v1] : ? [v2] : difference(v1, v0) = v2 % 25.97/6.68 | (73) ? [v0] : ? [v1] : ? [v2] : ? [v3] : one_to_one(v2, v1, v0) = v3 % 25.97/6.68 | (74) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) % 25.97/6.68 | (75) ? [v0] : ? [v1] : product(v0) = v1 % 25.97/6.68 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0)) % 25.97/6.68 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v3) = 0) | ~ (member(v4, v2) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v1, v4, v6) = v7) | ( ~ (v7 = 0) & apply(v0, v4, v5) = v7))) % 25.97/6.68 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (apply(v0, v3, v6) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & member(v6, v1) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) % 25.97/6.68 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) % 25.97/6.68 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 25.97/6.68 | (81) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_predicate(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v5) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v5, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v5, v4) = v7))))) % 25.97/6.68 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) % 25.97/6.68 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = v4) | ? [v5] : (( ~ (v5 = 0) & member(v0, v2) = v5) | ( ~ (v5 = 0) & member(v0, v1) = v5))) % 25.97/6.68 | (84) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 25.97/6.68 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) % 25.97/6.68 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) % 25.97/6.68 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = 0 | ~ (inverse_image2(v0, v1) = v3) | ~ (apply(v0, v2, v5) = 0) | ~ (member(v2, v3) = v4) | ? [v6] : ( ~ (v6 = 0) & member(v5, v1) = v6)) % 25.97/6.68 | (88) ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 % 25.97/6.68 | (89) ? [v0] : ? [v1] : ? [v2] : ? [v3] : apply(v2, v1, v0) = v3 % 25.97/6.68 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (inverse_function(v0, v1, v2) = v5) | ~ (apply(v5, v4, v3) = v6) | ? [v7] : (( ~ (v7 = 0) & member(v4, v2) = v7) | ( ~ (v7 = 0) & member(v3, v1) = v7) | (( ~ (v6 = 0) | (v7 = 0 & apply(v0, v3, v4) = 0)) & (v6 = 0 | ( ~ (v7 = 0) & apply(v0, v3, v4) = v7))))) % 25.97/6.69 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (injective(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v5 = v4) & apply(v0, v5, v6) = 0 & apply(v0, v4, v6) = 0 & member(v6, v2) = 0 & member(v5, v1) = 0 & member(v4, v1) = 0)) % 25.97/6.69 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (equal_maps(v0, v1, v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ( ~ (v7 = v6) & apply(v1, v5, v7) = 0 & apply(v0, v5, v6) = 0 & member(v7, v3) = 0 & member(v6, v3) = 0 & member(v5, v2) = 0)) % 25.97/6.69 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) % 25.97/6.69 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = 0) | ~ (apply(v2, v5, v7) = v9) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) % 25.97/6.69 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (member(v9, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) % 25.97/6.69 | (96) ? [v0] : ? [v1] : ? [v2] : member(v1, v0) = v2 % 25.97/6.69 | (97) ! [v0] : ~ (member(v0, empty_set) = 0) % 25.97/6.69 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v4) = v6))) % 25.97/6.69 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (apply(v0, v4, v5) = 0) | ? [v7] : (( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v5, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) % 25.97/6.69 | (100) inverse_function(all_0_5_5, all_0_8_8, all_0_6_6) = all_0_4_4 % 25.97/6.69 | (101) ! [v0] : ! [v1] : ! [v2] : ( ~ (injective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & surjective(v0, v1, v2) = v3))) % 25.97/6.69 | (102) ! [v0] : ! [v1] : ! [v2] : ( ~ (surjective(v0, v1, v2) = 0) | ? [v3] : ((v3 = 0 & one_to_one(v0, v1, v2) = 0) | ( ~ (v3 = 0) & injective(v0, v1, v2) = v3))) % 25.97/6.69 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) % 25.97/6.69 | (104) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_function(v2, v1, v0) = v3 % 25.97/6.69 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (member(v5, v2) = 0) | ~ (member(v4, v1) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v4, v5) = v6) | ( ~ (v6 = 0) & apply(v0, v3, v5) = v6))) % 25.97/6.69 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0)) % 25.97/6.69 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) % 25.97/6.69 | (108) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) % 25.97/6.69 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0) % 25.97/6.69 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (equal_maps(v0, v1, v2, v3) = 0) | ~ (apply(v1, v4, v6) = 0) | ~ (member(v5, v3) = 0) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v4, v5) = v7) | ( ~ (v7 = 0) & member(v6, v3) = v7) | ( ~ (v7 = 0) & member(v4, v2) = v7))) % 25.97/6.69 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v1, v9, v7) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v6, v9) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) % 25.97/6.69 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0)) % 25.97/6.69 | (113) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4)) % 25.97/6.69 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) % 25.97/6.69 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) % 25.97/6.69 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9))) % 25.97/6.69 | (117) ? [v0] : ? [v1] : ? [v2] : unordered_pair(v1, v0) = v2 % 25.97/6.69 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (apply(v0, v3, v4) = 0) | ? [v6] : (( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) % 25.97/6.69 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v1, v5, v8) = 0 & apply(v0, v8, v6) = 0 & member(v8, v3) = 0) | ( ~ (v8 = 0) & member(v6, v4) = v8) | ( ~ (v8 = 0) & member(v5, v2) = v8))) % 25.97/6.69 | (120) ? [v0] : ? [v1] : ? [v2] : union(v1, v0) = v2 % 25.97/6.69 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (injective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & surjective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4))) % 25.97/6.70 | (122) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0)) % 25.97/6.70 | (123) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : compose_function(v4, v3, v2, v1, v0) = v5 % 25.97/6.70 | (124) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (maps(v0, v1, v2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & v8 = 0 & v7 = 0 & ~ (v6 = v5) & apply(v0, v4, v6) = 0 & apply(v0, v4, v5) = 0 & member(v6, v2) = 0 & member(v5, v2) = 0 & member(v4, v1) = 0) | (v5 = 0 & member(v4, v1) = 0 & ! [v12] : ( ~ (apply(v0, v4, v12) = 0) | ? [v13] : ( ~ (v13 = 0) & member(v12, v2) = v13)) & ! [v12] : ( ~ (member(v12, v2) = 0) | ? [v13] : ( ~ (v13 = 0) & apply(v0, v4, v12) = v13))))) % 25.97/6.70 | (125) maps(all_0_9_9, all_0_7_7, all_0_6_6) = 0 % 25.97/6.70 | (126) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) % 25.97/6.70 | (127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) % 25.97/6.70 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) % 25.97/6.70 | (129) ? [v0] : ? [v1] : ? [v2] : intersection(v1, v0) = v2 % 25.97/6.70 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 25.97/6.70 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (maps(v0, v1, v2) = 0) | ~ (apply(v0, v3, v5) = 0) | ~ (member(v4, v2) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v4) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v3, v1) = v6))) % 25.97/6.70 | (132) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0)) % 25.97/6.70 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4)) % 25.97/6.70 | (134) inverse_function(all_0_9_9, all_0_7_7, all_0_6_6) = all_0_2_2 % 25.97/6.70 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) % 25.97/6.70 | (136) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0)) % 25.97/6.70 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 25.97/6.70 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) % 25.97/6.70 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 25.97/6.70 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) % 25.97/6.70 | (141) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v1, v0) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) % 25.97/6.70 | (142) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) % 25.97/6.70 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) % 26.34/6.70 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v4 = v3 | ~ (injective(v0, v1, v2) = 0) | ~ (apply(v0, v4, v5) = 0) | ~ (member(v3, v1) = 0) | ? [v6] : (( ~ (v6 = 0) & apply(v0, v3, v5) = v6) | ( ~ (v6 = 0) & member(v5, v2) = v6) | ( ~ (v6 = 0) & member(v4, v1) = v6))) % 26.34/6.70 | (145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v1, v5, v9) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v9, v6) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) % 26.34/6.70 | (146) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) % 26.34/6.70 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4)) % 26.34/6.70 | (148) compose_function(all_0_9_9, all_0_10_10, all_0_8_8, all_0_7_7, all_0_6_6) = all_0_5_5 % 26.34/6.70 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9))) % 26.34/6.70 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 26.34/6.70 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 26.34/6.70 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) % 26.34/6.71 | (153) maps(all_0_10_10, all_0_8_8, all_0_7_7) = 0 % 26.34/6.71 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v0, v6, v7) = 0) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ((v11 = 0 & v10 = 0 & v9 = 0 & apply(v2, v6, v8) = 0 & apply(v1, v8, v7) = 0 & member(v8, v4) = 0) | ( ~ (v8 = 0) & member(v7, v5) = v8) | ( ~ (v8 = 0) & member(v6, v3) = v8))) % 26.34/6.71 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) % 26.34/6.71 | (156) ? [v0] : ? [v1] : ? [v2] : inverse_image2(v1, v0) = v2 % 26.34/6.71 | (157) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) % 26.34/6.71 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ? [v10] : (( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9) | (((v10 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9)) & ((v9 = 0 & apply(v2, v5, v7) = 0) | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) % 26.34/6.71 | (159) ? [v0] : ? [v1] : ? [v2] : ? [v3] : maps(v2, v1, v0) = v3 % 26.34/6.71 | (160) ? [v0] : ? [v1] : ? [v2] : equal_set(v1, v0) = v2 % 26.34/6.71 | (161) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0)) % 26.34/6.71 | (162) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v0, v7, v8) = 0) | ~ (apply(v0, v5, v6) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v6, v8) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & member(v8, v3) = v9) | ( ~ (v9 = 0) & member(v7, v1) = v9) | ( ~ (v9 = 0) & member(v6, v3) = v9) | ( ~ (v9 = 0) & member(v5, v1) = v9))) % 26.34/6.71 | (163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_function(v0, v1, v2, v3, v4) = v7) | ~ (apply(v7, v5, v6) = v8) | ~ (apply(v0, v9, v6) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v5, v9) = v10) | ( ~ (v10 = 0) & member(v9, v3) = v10) | ( ~ (v10 = 0) & member(v6, v4) = v10) | ( ~ (v10 = 0) & member(v5, v2) = v10))) % 26.34/6.71 | (164) ? [v0] : ? [v1] : sum(v0) = v1 % 26.34/6.71 | (165) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : isomorphism(v4, v3, v2, v1, v0) = v5 % 26.34/6.71 | (166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (compose_predicate(v0, v1, v2, v3, v4, v5) = 0) | ~ (apply(v2, v6, v9) = 0) | ~ (apply(v0, v6, v7) = v8) | ? [v10] : (( ~ (v10 = 0) & apply(v1, v9, v7) = v10) | ( ~ (v10 = 0) & member(v9, v4) = v10) | ( ~ (v10 = 0) & member(v7, v5) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) % 26.34/6.71 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0)) % 26.34/6.71 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v4, v1) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v0, v4) = v5)) % 26.34/6.71 | (169) ? [v0] : ? [v1] : ? [v2] : image2(v1, v0) = v2 % 26.34/6.71 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v1) | ~ (compose_predicate(v7, v6, v5, v4, v3, v2) = v0)) % 26.34/6.71 | (171) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) % 26.34/6.71 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (product(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = 0 & member(v0, v4) = v5)) % 26.34/6.71 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (increasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v2, v5, v7) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10))) % 26.34/6.71 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v2, v5, v7) = v9) | ~ (member(v8, v3) = 0) | ~ (member(v6, v3) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v4, v6, v8) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v4, v6, v8) = v10))))) % 26.34/6.71 | (175) inverse_function(all_0_10_10, all_0_8_8, all_0_7_7) = all_0_3_3 % 26.34/6.71 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v5 = 0 | ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v6, v1) = 0) | ~ (member(v3, v4) = v5) | ? [v7] : (( ~ (v7 = 0) & apply(v0, v3, v6) = v7) | ( ~ (v7 = 0) & member(v3, v2) = v7))) % 26.34/6.71 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (sum(v1) = v2) | ~ (member(v0, v4) = 0) | ~ (member(v0, v2) = v3) | ? [v5] : ( ~ (v5 = 0) & member(v4, v1) = v5)) % 26.34/6.71 | (178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = v3) | ? [v4] : ((v4 = 0 & v3 = 0 & injective(v0, v1, v2) = 0) | ( ~ (v4 = 0) & one_to_one(v0, v1, v2) = v4))) % 26.34/6.71 | (179) equal_maps(all_0_4_4, all_0_1_1, all_0_6_6, all_0_8_8) = all_0_0_0 % 26.34/6.71 | (180) ? [v0] : ? [v1] : ? [v2] : identity(v1, v0) = v2 % 26.34/6.71 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (apply(v0, v7, v8) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v7, v1) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) % 26.34/6.71 | (182) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (union(v1, v2) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ((v4 = 0 & member(v0, v2) = 0) | (v4 = 0 & member(v0, v1) = 0))) % 26.34/6.71 | (183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (one_to_one(v0, v1, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & surjective(v0, v1, v2) = v4) | ( ~ (v4 = 0) & injective(v0, v1, v2) = v4))) % 26.34/6.71 | (184) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) % 26.34/6.71 | (185) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v6, v8) = v9) | ~ (apply(v0, v5, v6) = 0) | ~ (member(v7, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10) | ( ~ (v10 = 0) & member(v5, v1) = v10) | (( ~ (v9 = 0) | (v10 = 0 & apply(v2, v5, v7) = 0)) & (v9 = 0 | ( ~ (v10 = 0) & apply(v2, v5, v7) = v10))))) % 26.34/6.71 | (186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (apply(v4, v8, v6) = v9) | ~ (member(v7, v1) = 0) | ~ (member(v5, v1) = 0) | ? [v10] : (( ~ (v10 = 0) & apply(v2, v5, v7) = v10) | ( ~ (v10 = 0) & apply(v0, v7, v8) = v10) | ( ~ (v10 = 0) & apply(v0, v5, v6) = v10) | ( ~ (v10 = 0) & member(v8, v3) = v10) | ( ~ (v10 = 0) & member(v6, v3) = v10))) % 26.34/6.71 | (187) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & subset(v1, v0) = v3) | ( ~ (v3 = 0) & subset(v0, v1) = v3))) % 26.34/6.71 | (188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) % 26.34/6.71 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) % 26.34/6.71 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) % 26.34/6.72 | (191) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0)) % 26.34/6.72 | (192) ? [v0] : ? [v1] : ? [v2] : ? [v3] : injective(v2, v1, v0) = v3 % 26.34/6.72 | (193) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) % 26.34/6.72 | % 26.34/6.72 | Instantiating formula (62) with all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms one_to_one(all_0_9_9, all_0_7_7, all_0_6_6) = 0, yields: % 26.34/6.72 | (194) surjective(all_0_9_9, all_0_7_7, all_0_6_6) = 0 & injective(all_0_9_9, all_0_7_7, all_0_6_6) = 0 % 26.34/6.72 | % 26.34/6.72 | Applying alpha-rule on (194) yields: % 26.34/6.72 | (195) surjective(all_0_9_9, all_0_7_7, all_0_6_6) = 0 % 26.34/6.72 | (196) injective(all_0_9_9, all_0_7_7, all_0_6_6) = 0 % 26.34/6.72 | % 26.34/6.72 | Instantiating formula (62) with all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms one_to_one(all_0_10_10, all_0_8_8, all_0_7_7) = 0, yields: % 26.34/6.72 | (197) surjective(all_0_10_10, all_0_8_8, all_0_7_7) = 0 & injective(all_0_10_10, all_0_8_8, all_0_7_7) = 0 % 26.34/6.72 | % 26.34/6.72 | Applying alpha-rule on (197) yields: % 26.34/6.72 | (198) surjective(all_0_10_10, all_0_8_8, all_0_7_7) = 0 % 26.34/6.72 | (199) injective(all_0_10_10, all_0_8_8, all_0_7_7) = 0 % 26.34/6.72 | % 26.34/6.72 | Instantiating formula (92) with all_0_0_0, all_0_8_8, all_0_6_6, all_0_1_1, all_0_4_4 and discharging atoms equal_maps(all_0_4_4, all_0_1_1, all_0_6_6, all_0_8_8) = all_0_0_0, yields: % 26.34/6.72 | (200) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & apply(all_0_1_1, v0, v2) = 0 & apply(all_0_4_4, v0, v1) = 0 & member(v2, all_0_8_8) = 0 & member(v1, all_0_8_8) = 0 & member(v0, all_0_6_6) = 0) % 26.34/6.72 | % 26.34/6.72 +-Applying beta-rule and splitting (200), into two cases. % 26.34/6.72 |-Branch one: % 26.34/6.72 | (201) all_0_0_0 = 0 % 26.34/6.72 | % 26.34/6.72 | Equations (201) can reduce 12 to: % 26.34/6.72 | (202) $false % 26.34/6.72 | % 26.34/6.72 |-The branch is then unsatisfiable % 26.34/6.72 |-Branch two: % 26.34/6.72 | (12) ~ (all_0_0_0 = 0) % 26.34/6.72 | (204) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & apply(all_0_1_1, v0, v2) = 0 & apply(all_0_4_4, v0, v1) = 0 & member(v2, all_0_8_8) = 0 & member(v1, all_0_8_8) = 0 & member(v0, all_0_6_6) = 0) % 26.34/6.72 | % 26.34/6.72 | Instantiating (204) with all_71_0_122, all_71_1_123, all_71_2_124 yields: % 26.34/6.72 | (205) ~ (all_71_0_122 = all_71_1_123) & apply(all_0_1_1, all_71_2_124, all_71_0_122) = 0 & apply(all_0_4_4, all_71_2_124, all_71_1_123) = 0 & member(all_71_0_122, all_0_8_8) = 0 & member(all_71_1_123, all_0_8_8) = 0 & member(all_71_2_124, all_0_6_6) = 0 % 26.34/6.72 | % 26.34/6.72 | Applying alpha-rule on (205) yields: % 26.34/6.72 | (206) member(all_71_0_122, all_0_8_8) = 0 % 26.34/6.72 | (207) apply(all_0_4_4, all_71_2_124, all_71_1_123) = 0 % 26.34/6.72 | (208) ~ (all_71_0_122 = all_71_1_123) % 26.34/6.72 | (209) member(all_71_2_124, all_0_6_6) = 0 % 26.34/6.72 | (210) member(all_71_1_123, all_0_8_8) = 0 % 26.34/6.72 | (211) apply(all_0_1_1, all_71_2_124, all_71_0_122) = 0 % 26.34/6.72 | % 26.34/6.72 | Instantiating formula (119) with all_0_1_1, all_71_0_122, all_71_2_124, all_0_8_8, all_0_7_7, all_0_6_6, all_0_2_2, all_0_3_3 and discharging atoms compose_function(all_0_3_3, all_0_2_2, all_0_6_6, all_0_7_7, all_0_8_8) = all_0_1_1, apply(all_0_1_1, all_71_2_124, all_71_0_122) = 0, yields: % 26.34/6.72 | (212) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & apply(all_0_2_2, all_71_2_124, v0) = 0 & apply(all_0_3_3, v0, all_71_0_122) = 0 & member(v0, all_0_7_7) = 0) | ( ~ (v0 = 0) & member(all_71_0_122, all_0_8_8) = v0) | ( ~ (v0 = 0) & member(all_71_2_124, all_0_6_6) = v0)) % 26.34/6.72 | % 26.34/6.72 | Instantiating formula (90) with 0, all_0_4_4, all_71_2_124, all_71_1_123, all_0_6_6, all_0_8_8, all_0_5_5 and discharging atoms inverse_function(all_0_5_5, all_0_8_8, all_0_6_6) = all_0_4_4, apply(all_0_4_4, all_71_2_124, all_71_1_123) = 0, yields: % 26.34/6.72 | (213) ? [v0] : ((v0 = 0 & apply(all_0_5_5, all_71_1_123, all_71_2_124) = 0) | ( ~ (v0 = 0) & member(all_71_1_123, all_0_8_8) = v0) | ( ~ (v0 = 0) & member(all_71_2_124, all_0_6_6) = v0)) % 26.34/6.72 | % 26.34/6.72 | Instantiating formula (60) with all_71_0_122, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms maps(all_0_10_10, all_0_8_8, all_0_7_7) = 0, member(all_71_0_122, all_0_8_8) = 0, yields: % 26.34/6.72 | (214) ? [v0] : (apply(all_0_10_10, all_71_0_122, v0) = 0 & member(v0, all_0_7_7) = 0) % 26.34/6.72 | % 26.34/6.72 | Instantiating formula (44) with all_71_2_124, all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms surjective(all_0_9_9, all_0_7_7, all_0_6_6) = 0, member(all_71_2_124, all_0_6_6) = 0, yields: % 26.34/6.72 | (215) ? [v0] : (apply(all_0_9_9, v0, all_71_2_124) = 0 & member(v0, all_0_7_7) = 0) % 26.34/6.72 | % 26.34/6.72 | Instantiating (215) with all_78_0_125 yields: % 26.34/6.72 | (216) apply(all_0_9_9, all_78_0_125, all_71_2_124) = 0 & member(all_78_0_125, all_0_7_7) = 0 % 26.34/6.72 | % 26.34/6.72 | Applying alpha-rule on (216) yields: % 26.34/6.72 | (217) apply(all_0_9_9, all_78_0_125, all_71_2_124) = 0 % 26.34/6.72 | (218) member(all_78_0_125, all_0_7_7) = 0 % 26.34/6.72 | % 26.34/6.72 | Instantiating (214) with all_82_0_127 yields: % 26.34/6.72 | (219) apply(all_0_10_10, all_71_0_122, all_82_0_127) = 0 & member(all_82_0_127, all_0_7_7) = 0 % 26.34/6.72 | % 26.34/6.72 | Applying alpha-rule on (219) yields: % 26.34/6.72 | (220) apply(all_0_10_10, all_71_0_122, all_82_0_127) = 0 % 26.34/6.72 | (221) member(all_82_0_127, all_0_7_7) = 0 % 26.34/6.72 | % 26.34/6.72 | Instantiating (213) with all_84_0_128 yields: % 26.34/6.72 | (222) (all_84_0_128 = 0 & apply(all_0_5_5, all_71_1_123, all_71_2_124) = 0) | ( ~ (all_84_0_128 = 0) & member(all_71_1_123, all_0_8_8) = all_84_0_128) | ( ~ (all_84_0_128 = 0) & member(all_71_2_124, all_0_6_6) = all_84_0_128) % 26.34/6.72 | % 26.34/6.72 | Instantiating (212) with all_85_0_129, all_85_1_130, all_85_2_131, all_85_3_132 yields: % 26.34/6.72 | (223) (all_85_0_129 = 0 & all_85_1_130 = 0 & all_85_2_131 = 0 & apply(all_0_2_2, all_71_2_124, all_85_3_132) = 0 & apply(all_0_3_3, all_85_3_132, all_71_0_122) = 0 & member(all_85_3_132, all_0_7_7) = 0) | ( ~ (all_85_3_132 = 0) & member(all_71_0_122, all_0_8_8) = all_85_3_132) | ( ~ (all_85_3_132 = 0) & member(all_71_2_124, all_0_6_6) = all_85_3_132) % 26.34/6.72 | % 26.34/6.72 +-Applying beta-rule and splitting (222), into two cases. % 26.34/6.72 |-Branch one: % 26.34/6.72 | (224) (all_84_0_128 = 0 & apply(all_0_5_5, all_71_1_123, all_71_2_124) = 0) | ( ~ (all_84_0_128 = 0) & member(all_71_1_123, all_0_8_8) = all_84_0_128) % 26.34/6.72 | % 26.34/6.72 +-Applying beta-rule and splitting (224), into two cases. % 26.34/6.72 |-Branch one: % 26.34/6.72 | (225) all_84_0_128 = 0 & apply(all_0_5_5, all_71_1_123, all_71_2_124) = 0 % 26.34/6.72 | % 26.34/6.72 | Applying alpha-rule on (225) yields: % 26.34/6.72 | (226) all_84_0_128 = 0 % 26.34/6.72 | (227) apply(all_0_5_5, all_71_1_123, all_71_2_124) = 0 % 26.34/6.72 | % 26.34/6.72 +-Applying beta-rule and splitting (223), into two cases. % 26.34/6.72 |-Branch one: % 26.34/6.72 | (228) (all_85_0_129 = 0 & all_85_1_130 = 0 & all_85_2_131 = 0 & apply(all_0_2_2, all_71_2_124, all_85_3_132) = 0 & apply(all_0_3_3, all_85_3_132, all_71_0_122) = 0 & member(all_85_3_132, all_0_7_7) = 0) | ( ~ (all_85_3_132 = 0) & member(all_71_0_122, all_0_8_8) = all_85_3_132) % 26.34/6.72 | % 26.34/6.72 +-Applying beta-rule and splitting (228), into two cases. % 26.34/6.72 |-Branch one: % 26.34/6.72 | (229) all_85_0_129 = 0 & all_85_1_130 = 0 & all_85_2_131 = 0 & apply(all_0_2_2, all_71_2_124, all_85_3_132) = 0 & apply(all_0_3_3, all_85_3_132, all_71_0_122) = 0 & member(all_85_3_132, all_0_7_7) = 0 % 26.34/6.72 | % 26.34/6.72 | Applying alpha-rule on (229) yields: % 26.34/6.72 | (230) member(all_85_3_132, all_0_7_7) = 0 % 26.34/6.72 | (231) apply(all_0_2_2, all_71_2_124, all_85_3_132) = 0 % 26.34/6.72 | (232) apply(all_0_3_3, all_85_3_132, all_71_0_122) = 0 % 26.34/6.72 | (233) all_85_1_130 = 0 % 26.34/6.72 | (234) all_85_2_131 = 0 % 26.34/6.72 | (235) all_85_0_129 = 0 % 26.34/6.72 | % 26.34/6.72 | Instantiating formula (90) with 0, all_0_2_2, all_71_2_124, all_85_3_132, all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms inverse_function(all_0_9_9, all_0_7_7, all_0_6_6) = all_0_2_2, apply(all_0_2_2, all_71_2_124, all_85_3_132) = 0, yields: % 26.34/6.72 | (236) ? [v0] : ((v0 = 0 & apply(all_0_9_9, all_85_3_132, all_71_2_124) = 0) | ( ~ (v0 = 0) & member(all_85_3_132, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_2_124, all_0_6_6) = v0)) % 26.34/6.72 | % 26.34/6.72 | Instantiating formula (90) with 0, all_0_3_3, all_85_3_132, all_71_0_122, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms inverse_function(all_0_10_10, all_0_8_8, all_0_7_7) = all_0_3_3, apply(all_0_3_3, all_85_3_132, all_71_0_122) = 0, yields: % 26.34/6.72 | (237) ? [v0] : ((v0 = 0 & apply(all_0_10_10, all_71_0_122, all_85_3_132) = 0) | ( ~ (v0 = 0) & member(all_85_3_132, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_0_122, all_0_8_8) = v0)) % 26.34/6.72 | % 26.34/6.73 | Instantiating formula (119) with all_0_5_5, all_71_2_124, all_71_1_123, all_0_6_6, all_0_7_7, all_0_8_8, all_0_10_10, all_0_9_9 and discharging atoms compose_function(all_0_9_9, all_0_10_10, all_0_8_8, all_0_7_7, all_0_6_6) = all_0_5_5, apply(all_0_5_5, all_71_1_123, all_71_2_124) = 0, yields: % 26.34/6.73 | (238) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((v3 = 0 & v2 = 0 & v1 = 0 & apply(all_0_9_9, v0, all_71_2_124) = 0 & apply(all_0_10_10, all_71_1_123, v0) = 0 & member(v0, all_0_7_7) = 0) | ( ~ (v0 = 0) & member(all_71_1_123, all_0_8_8) = v0) | ( ~ (v0 = 0) & member(all_71_2_124, all_0_6_6) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating formula (144) with all_82_0_127, all_71_0_122, all_71_1_123, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms injective(all_0_10_10, all_0_8_8, all_0_7_7) = 0, apply(all_0_10_10, all_71_0_122, all_82_0_127) = 0, member(all_71_1_123, all_0_8_8) = 0, yields: % 26.34/6.73 | (239) all_71_0_122 = all_71_1_123 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_1_123, all_82_0_127) = v0) | ( ~ (v0 = 0) & member(all_82_0_127, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_0_122, all_0_8_8) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating formula (144) with all_71_2_124, all_78_0_125, all_85_3_132, all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms injective(all_0_9_9, all_0_7_7, all_0_6_6) = 0, apply(all_0_9_9, all_78_0_125, all_71_2_124) = 0, member(all_85_3_132, all_0_7_7) = 0, yields: % 26.34/6.73 | (240) all_85_3_132 = all_78_0_125 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_9_9, all_85_3_132, all_71_2_124) = v0) | ( ~ (v0 = 0) & member(all_78_0_125, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_2_124, all_0_6_6) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating formula (105) with all_85_3_132, all_71_0_122, all_71_1_123, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms injective(all_0_10_10, all_0_8_8, all_0_7_7) = 0, member(all_85_3_132, all_0_7_7) = 0, member(all_71_0_122, all_0_8_8) = 0, member(all_71_1_123, all_0_8_8) = 0, yields: % 26.34/6.73 | (241) all_71_0_122 = all_71_1_123 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_0_122, all_85_3_132) = v0) | ( ~ (v0 = 0) & apply(all_0_10_10, all_71_1_123, all_85_3_132) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating formula (105) with all_82_0_127, all_71_0_122, all_71_1_123, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms injective(all_0_10_10, all_0_8_8, all_0_7_7) = 0, member(all_82_0_127, all_0_7_7) = 0, member(all_71_0_122, all_0_8_8) = 0, member(all_71_1_123, all_0_8_8) = 0, yields: % 26.34/6.73 | (242) all_71_0_122 = all_71_1_123 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_0_122, all_82_0_127) = v0) | ( ~ (v0 = 0) & apply(all_0_10_10, all_71_1_123, all_82_0_127) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating formula (131) with all_82_0_127, all_78_0_125, all_71_0_122, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms maps(all_0_10_10, all_0_8_8, all_0_7_7) = 0, apply(all_0_10_10, all_71_0_122, all_82_0_127) = 0, member(all_78_0_125, all_0_7_7) = 0, yields: % 26.34/6.73 | (243) all_82_0_127 = all_78_0_125 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_0_122, all_78_0_125) = v0) | ( ~ (v0 = 0) & member(all_82_0_127, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_0_122, all_0_8_8) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating formula (105) with all_78_0_125, all_71_0_122, all_71_1_123, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms injective(all_0_10_10, all_0_8_8, all_0_7_7) = 0, member(all_78_0_125, all_0_7_7) = 0, member(all_71_0_122, all_0_8_8) = 0, member(all_71_1_123, all_0_8_8) = 0, yields: % 26.34/6.73 | (244) all_71_0_122 = all_71_1_123 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_0_122, all_78_0_125) = v0) | ( ~ (v0 = 0) & apply(all_0_10_10, all_71_1_123, all_78_0_125) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating (238) with all_109_0_138, all_109_1_139, all_109_2_140, all_109_3_141 yields: % 26.34/6.73 | (245) (all_109_0_138 = 0 & all_109_1_139 = 0 & all_109_2_140 = 0 & apply(all_0_9_9, all_109_3_141, all_71_2_124) = 0 & apply(all_0_10_10, all_71_1_123, all_109_3_141) = 0 & member(all_109_3_141, all_0_7_7) = 0) | ( ~ (all_109_3_141 = 0) & member(all_71_1_123, all_0_8_8) = all_109_3_141) | ( ~ (all_109_3_141 = 0) & member(all_71_2_124, all_0_6_6) = all_109_3_141) % 26.34/6.73 | % 26.34/6.73 | Instantiating (237) with all_110_0_142 yields: % 26.34/6.73 | (246) (all_110_0_142 = 0 & apply(all_0_10_10, all_71_0_122, all_85_3_132) = 0) | ( ~ (all_110_0_142 = 0) & member(all_85_3_132, all_0_7_7) = all_110_0_142) | ( ~ (all_110_0_142 = 0) & member(all_71_0_122, all_0_8_8) = all_110_0_142) % 26.34/6.73 | % 26.34/6.73 | Instantiating (236) with all_111_0_143 yields: % 26.34/6.73 | (247) (all_111_0_143 = 0 & apply(all_0_9_9, all_85_3_132, all_71_2_124) = 0) | ( ~ (all_111_0_143 = 0) & member(all_85_3_132, all_0_7_7) = all_111_0_143) | ( ~ (all_111_0_143 = 0) & member(all_71_2_124, all_0_6_6) = all_111_0_143) % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (247), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (248) (all_111_0_143 = 0 & apply(all_0_9_9, all_85_3_132, all_71_2_124) = 0) | ( ~ (all_111_0_143 = 0) & member(all_85_3_132, all_0_7_7) = all_111_0_143) % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (248), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (249) all_111_0_143 = 0 & apply(all_0_9_9, all_85_3_132, all_71_2_124) = 0 % 26.34/6.73 | % 26.34/6.73 | Applying alpha-rule on (249) yields: % 26.34/6.73 | (250) all_111_0_143 = 0 % 26.34/6.73 | (251) apply(all_0_9_9, all_85_3_132, all_71_2_124) = 0 % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (240), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (252) all_85_3_132 = all_78_0_125 % 26.34/6.73 | % 26.34/6.73 | From (252) and (251) follows: % 26.34/6.73 | (217) apply(all_0_9_9, all_78_0_125, all_71_2_124) = 0 % 26.34/6.73 | % 26.34/6.73 | From (252) and (230) follows: % 26.34/6.73 | (218) member(all_78_0_125, all_0_7_7) = 0 % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (246), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (255) (all_110_0_142 = 0 & apply(all_0_10_10, all_71_0_122, all_85_3_132) = 0) | ( ~ (all_110_0_142 = 0) & member(all_85_3_132, all_0_7_7) = all_110_0_142) % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (255), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (256) all_110_0_142 = 0 & apply(all_0_10_10, all_71_0_122, all_85_3_132) = 0 % 26.34/6.73 | % 26.34/6.73 | Applying alpha-rule on (256) yields: % 26.34/6.73 | (257) all_110_0_142 = 0 % 26.34/6.73 | (258) apply(all_0_10_10, all_71_0_122, all_85_3_132) = 0 % 26.34/6.73 | % 26.34/6.73 | From (252) and (258) follows: % 26.34/6.73 | (259) apply(all_0_10_10, all_71_0_122, all_78_0_125) = 0 % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (241), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (260) all_71_0_122 = all_71_1_123 % 26.34/6.73 | % 26.34/6.73 | Equations (260) can reduce 208 to: % 26.34/6.73 | (202) $false % 26.34/6.73 | % 26.34/6.73 |-The branch is then unsatisfiable % 26.34/6.73 |-Branch two: % 26.34/6.73 | (208) ~ (all_71_0_122 = all_71_1_123) % 26.34/6.73 | (263) ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_0_122, all_85_3_132) = v0) | ( ~ (v0 = 0) & apply(all_0_10_10, all_71_1_123, all_85_3_132) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating (263) with all_133_0_147 yields: % 26.34/6.73 | (264) ( ~ (all_133_0_147 = 0) & apply(all_0_10_10, all_71_0_122, all_85_3_132) = all_133_0_147) | ( ~ (all_133_0_147 = 0) & apply(all_0_10_10, all_71_1_123, all_85_3_132) = all_133_0_147) % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (242), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (260) all_71_0_122 = all_71_1_123 % 26.34/6.73 | % 26.34/6.73 | Equations (260) can reduce 208 to: % 26.34/6.73 | (202) $false % 26.34/6.73 | % 26.34/6.73 |-The branch is then unsatisfiable % 26.34/6.73 |-Branch two: % 26.34/6.73 | (208) ~ (all_71_0_122 = all_71_1_123) % 26.34/6.73 | (268) ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_0_122, all_82_0_127) = v0) | ( ~ (v0 = 0) & apply(all_0_10_10, all_71_1_123, all_82_0_127) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating (268) with all_137_0_148 yields: % 26.34/6.73 | (269) ( ~ (all_137_0_148 = 0) & apply(all_0_10_10, all_71_0_122, all_82_0_127) = all_137_0_148) | ( ~ (all_137_0_148 = 0) & apply(all_0_10_10, all_71_1_123, all_82_0_127) = all_137_0_148) % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (244), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (260) all_71_0_122 = all_71_1_123 % 26.34/6.73 | % 26.34/6.73 | Equations (260) can reduce 208 to: % 26.34/6.73 | (202) $false % 26.34/6.73 | % 26.34/6.73 |-The branch is then unsatisfiable % 26.34/6.73 |-Branch two: % 26.34/6.73 | (208) ~ (all_71_0_122 = all_71_1_123) % 26.34/6.73 | (273) ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_0_122, all_78_0_125) = v0) | ( ~ (v0 = 0) & apply(all_0_10_10, all_71_1_123, all_78_0_125) = v0)) % 26.34/6.73 | % 26.34/6.73 | Instantiating (273) with all_141_0_149 yields: % 26.34/6.73 | (274) ( ~ (all_141_0_149 = 0) & apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_141_0_149) | ( ~ (all_141_0_149 = 0) & apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_141_0_149) % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (264), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (275) ~ (all_133_0_147 = 0) & apply(all_0_10_10, all_71_0_122, all_85_3_132) = all_133_0_147 % 26.34/6.73 | % 26.34/6.73 | Applying alpha-rule on (275) yields: % 26.34/6.73 | (276) ~ (all_133_0_147 = 0) % 26.34/6.73 | (277) apply(all_0_10_10, all_71_0_122, all_85_3_132) = all_133_0_147 % 26.34/6.73 | % 26.34/6.73 | From (252) and (277) follows: % 26.34/6.73 | (278) apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_133_0_147 % 26.34/6.73 | % 26.34/6.73 | Instantiating formula (43) with all_0_10_10, all_71_0_122, all_78_0_125, 0, all_133_0_147 and discharging atoms apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_133_0_147, apply(all_0_10_10, all_71_0_122, all_78_0_125) = 0, yields: % 26.34/6.73 | (279) all_133_0_147 = 0 % 26.34/6.73 | % 26.34/6.73 | Equations (279) can reduce 276 to: % 26.34/6.73 | (202) $false % 26.34/6.73 | % 26.34/6.73 |-The branch is then unsatisfiable % 26.34/6.73 |-Branch two: % 26.34/6.73 | (281) ~ (all_133_0_147 = 0) & apply(all_0_10_10, all_71_1_123, all_85_3_132) = all_133_0_147 % 26.34/6.73 | % 26.34/6.73 | Applying alpha-rule on (281) yields: % 26.34/6.73 | (276) ~ (all_133_0_147 = 0) % 26.34/6.73 | (283) apply(all_0_10_10, all_71_1_123, all_85_3_132) = all_133_0_147 % 26.34/6.73 | % 26.34/6.73 | From (252) and (283) follows: % 26.34/6.73 | (284) apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_133_0_147 % 26.34/6.73 | % 26.34/6.73 +-Applying beta-rule and splitting (239), into two cases. % 26.34/6.73 |-Branch one: % 26.34/6.73 | (260) all_71_0_122 = all_71_1_123 % 26.34/6.73 | % 26.34/6.73 | Equations (260) can reduce 208 to: % 26.34/6.73 | (202) $false % 26.34/6.73 | % 26.34/6.73 |-The branch is then unsatisfiable % 26.34/6.73 |-Branch two: % 26.34/6.73 | (208) ~ (all_71_0_122 = all_71_1_123) % 26.34/6.73 | (288) ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_1_123, all_82_0_127) = v0) | ( ~ (v0 = 0) & member(all_82_0_127, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_0_122, all_0_8_8) = v0)) % 26.34/6.74 | % 26.34/6.74 | Instantiating (288) with all_149_0_153 yields: % 26.34/6.74 | (289) ( ~ (all_149_0_153 = 0) & apply(all_0_10_10, all_71_1_123, all_82_0_127) = all_149_0_153) | ( ~ (all_149_0_153 = 0) & member(all_82_0_127, all_0_7_7) = all_149_0_153) | ( ~ (all_149_0_153 = 0) & member(all_71_0_122, all_0_8_8) = all_149_0_153) % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (289), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (290) ( ~ (all_149_0_153 = 0) & apply(all_0_10_10, all_71_1_123, all_82_0_127) = all_149_0_153) | ( ~ (all_149_0_153 = 0) & member(all_82_0_127, all_0_7_7) = all_149_0_153) % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (290), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (291) ~ (all_149_0_153 = 0) & apply(all_0_10_10, all_71_1_123, all_82_0_127) = all_149_0_153 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (291) yields: % 26.34/6.74 | (292) ~ (all_149_0_153 = 0) % 26.34/6.74 | (293) apply(all_0_10_10, all_71_1_123, all_82_0_127) = all_149_0_153 % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (243), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (294) all_82_0_127 = all_78_0_125 % 26.34/6.74 | % 26.34/6.74 | From (294) and (220) follows: % 26.34/6.74 | (259) apply(all_0_10_10, all_71_0_122, all_78_0_125) = 0 % 26.34/6.74 | % 26.34/6.74 | From (294) and (293) follows: % 26.34/6.74 | (296) apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_149_0_153 % 26.34/6.74 | % 26.34/6.74 | From (294) and (221) follows: % 26.34/6.74 | (218) member(all_78_0_125, all_0_7_7) = 0 % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (274), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (298) ~ (all_141_0_149 = 0) & apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_141_0_149 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (298) yields: % 26.34/6.74 | (299) ~ (all_141_0_149 = 0) % 26.34/6.74 | (300) apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_141_0_149 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (43) with all_0_10_10, all_71_0_122, all_78_0_125, 0, all_141_0_149 and discharging atoms apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_141_0_149, apply(all_0_10_10, all_71_0_122, all_78_0_125) = 0, yields: % 26.34/6.74 | (301) all_141_0_149 = 0 % 26.34/6.74 | % 26.34/6.74 | Equations (301) can reduce 299 to: % 26.34/6.74 | (202) $false % 26.34/6.74 | % 26.34/6.74 |-The branch is then unsatisfiable % 26.34/6.74 |-Branch two: % 26.34/6.74 | (303) ~ (all_141_0_149 = 0) & apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_141_0_149 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (303) yields: % 26.34/6.74 | (299) ~ (all_141_0_149 = 0) % 26.34/6.74 | (305) apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_141_0_149 % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (269), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (306) ~ (all_137_0_148 = 0) & apply(all_0_10_10, all_71_0_122, all_82_0_127) = all_137_0_148 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (306) yields: % 26.34/6.74 | (307) ~ (all_137_0_148 = 0) % 26.34/6.74 | (308) apply(all_0_10_10, all_71_0_122, all_82_0_127) = all_137_0_148 % 26.34/6.74 | % 26.34/6.74 | From (294) and (308) follows: % 26.34/6.74 | (309) apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_137_0_148 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (43) with all_0_10_10, all_71_0_122, all_78_0_125, 0, all_137_0_148 and discharging atoms apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_137_0_148, apply(all_0_10_10, all_71_0_122, all_78_0_125) = 0, yields: % 26.34/6.74 | (310) all_137_0_148 = 0 % 26.34/6.74 | % 26.34/6.74 | Equations (310) can reduce 307 to: % 26.34/6.74 | (202) $false % 26.34/6.74 | % 26.34/6.74 |-The branch is then unsatisfiable % 26.34/6.74 |-Branch two: % 26.34/6.74 | (312) ~ (all_137_0_148 = 0) & apply(all_0_10_10, all_71_1_123, all_82_0_127) = all_137_0_148 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (312) yields: % 26.34/6.74 | (307) ~ (all_137_0_148 = 0) % 26.34/6.74 | (314) apply(all_0_10_10, all_71_1_123, all_82_0_127) = all_137_0_148 % 26.34/6.74 | % 26.34/6.74 | From (294) and (314) follows: % 26.34/6.74 | (315) apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_137_0_148 % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (245), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (316) (all_109_0_138 = 0 & all_109_1_139 = 0 & all_109_2_140 = 0 & apply(all_0_9_9, all_109_3_141, all_71_2_124) = 0 & apply(all_0_10_10, all_71_1_123, all_109_3_141) = 0 & member(all_109_3_141, all_0_7_7) = 0) | ( ~ (all_109_3_141 = 0) & member(all_71_1_123, all_0_8_8) = all_109_3_141) % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (316), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (317) all_109_0_138 = 0 & all_109_1_139 = 0 & all_109_2_140 = 0 & apply(all_0_9_9, all_109_3_141, all_71_2_124) = 0 & apply(all_0_10_10, all_71_1_123, all_109_3_141) = 0 & member(all_109_3_141, all_0_7_7) = 0 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (317) yields: % 26.34/6.74 | (318) all_109_0_138 = 0 % 26.34/6.74 | (319) member(all_109_3_141, all_0_7_7) = 0 % 26.34/6.74 | (320) apply(all_0_10_10, all_71_1_123, all_109_3_141) = 0 % 26.34/6.74 | (321) all_109_2_140 = 0 % 26.34/6.74 | (322) apply(all_0_9_9, all_109_3_141, all_71_2_124) = 0 % 26.34/6.74 | (323) all_109_1_139 = 0 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (43) with all_0_10_10, all_71_1_123, all_78_0_125, all_141_0_149, all_149_0_153 and discharging atoms apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_149_0_153, apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_141_0_149, yields: % 26.34/6.74 | (324) all_149_0_153 = all_141_0_149 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (43) with all_0_10_10, all_71_1_123, all_78_0_125, all_137_0_148, all_141_0_149 and discharging atoms apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_141_0_149, apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_137_0_148, yields: % 26.34/6.74 | (325) all_141_0_149 = all_137_0_148 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (43) with all_0_10_10, all_71_1_123, all_78_0_125, all_133_0_147, all_149_0_153 and discharging atoms apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_149_0_153, apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_133_0_147, yields: % 26.34/6.74 | (326) all_149_0_153 = all_133_0_147 % 26.34/6.74 | % 26.34/6.74 | Combining equations (324,326) yields a new equation: % 26.34/6.74 | (327) all_141_0_149 = all_133_0_147 % 26.34/6.74 | % 26.34/6.74 | Simplifying 327 yields: % 26.34/6.74 | (328) all_141_0_149 = all_133_0_147 % 26.34/6.74 | % 26.34/6.74 | Combining equations (328,325) yields a new equation: % 26.34/6.74 | (329) all_137_0_148 = all_133_0_147 % 26.34/6.74 | % 26.34/6.74 | Equations (329) can reduce 307 to: % 26.34/6.74 | (276) ~ (all_133_0_147 = 0) % 26.34/6.74 | % 26.34/6.74 | From (329) and (315) follows: % 26.34/6.74 | (284) apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_133_0_147 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (144) with all_71_2_124, all_109_3_141, all_78_0_125, all_0_6_6, all_0_7_7, all_0_9_9 and discharging atoms injective(all_0_9_9, all_0_7_7, all_0_6_6) = 0, apply(all_0_9_9, all_109_3_141, all_71_2_124) = 0, member(all_78_0_125, all_0_7_7) = 0, yields: % 26.34/6.74 | (332) all_109_3_141 = all_78_0_125 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_9_9, all_78_0_125, all_71_2_124) = v0) | ( ~ (v0 = 0) & member(all_109_3_141, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_2_124, all_0_6_6) = v0)) % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (332), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (333) all_109_3_141 = all_78_0_125 % 26.34/6.74 | % 26.34/6.74 | From (333) and (320) follows: % 26.34/6.74 | (334) apply(all_0_10_10, all_71_1_123, all_78_0_125) = 0 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (43) with all_0_10_10, all_71_1_123, all_78_0_125, 0, all_133_0_147 and discharging atoms apply(all_0_10_10, all_71_1_123, all_78_0_125) = all_133_0_147, apply(all_0_10_10, all_71_1_123, all_78_0_125) = 0, yields: % 26.34/6.74 | (279) all_133_0_147 = 0 % 26.34/6.74 | % 26.34/6.74 | Equations (279) can reduce 276 to: % 26.34/6.74 | (202) $false % 26.34/6.74 | % 26.34/6.74 |-The branch is then unsatisfiable % 26.34/6.74 |-Branch two: % 26.34/6.74 | (337) ~ (all_109_3_141 = all_78_0_125) % 26.34/6.74 | (338) ? [v0] : (( ~ (v0 = 0) & apply(all_0_9_9, all_78_0_125, all_71_2_124) = v0) | ( ~ (v0 = 0) & member(all_109_3_141, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_2_124, all_0_6_6) = v0)) % 26.34/6.74 | % 26.34/6.74 | Instantiating (338) with all_211_0_294 yields: % 26.34/6.74 | (339) ( ~ (all_211_0_294 = 0) & apply(all_0_9_9, all_78_0_125, all_71_2_124) = all_211_0_294) | ( ~ (all_211_0_294 = 0) & member(all_109_3_141, all_0_7_7) = all_211_0_294) | ( ~ (all_211_0_294 = 0) & member(all_71_2_124, all_0_6_6) = all_211_0_294) % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (339), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (340) ( ~ (all_211_0_294 = 0) & apply(all_0_9_9, all_78_0_125, all_71_2_124) = all_211_0_294) | ( ~ (all_211_0_294 = 0) & member(all_109_3_141, all_0_7_7) = all_211_0_294) % 26.34/6.74 | % 26.34/6.74 +-Applying beta-rule and splitting (340), into two cases. % 26.34/6.74 |-Branch one: % 26.34/6.74 | (341) ~ (all_211_0_294 = 0) & apply(all_0_9_9, all_78_0_125, all_71_2_124) = all_211_0_294 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (341) yields: % 26.34/6.74 | (342) ~ (all_211_0_294 = 0) % 26.34/6.74 | (343) apply(all_0_9_9, all_78_0_125, all_71_2_124) = all_211_0_294 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (43) with all_0_9_9, all_78_0_125, all_71_2_124, all_211_0_294, 0 and discharging atoms apply(all_0_9_9, all_78_0_125, all_71_2_124) = all_211_0_294, apply(all_0_9_9, all_78_0_125, all_71_2_124) = 0, yields: % 26.34/6.74 | (344) all_211_0_294 = 0 % 26.34/6.74 | % 26.34/6.74 | Equations (344) can reduce 342 to: % 26.34/6.74 | (202) $false % 26.34/6.74 | % 26.34/6.74 |-The branch is then unsatisfiable % 26.34/6.74 |-Branch two: % 26.34/6.74 | (346) ~ (all_211_0_294 = 0) & member(all_109_3_141, all_0_7_7) = all_211_0_294 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (346) yields: % 26.34/6.74 | (342) ~ (all_211_0_294 = 0) % 26.34/6.74 | (348) member(all_109_3_141, all_0_7_7) = all_211_0_294 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (188) with all_109_3_141, all_0_7_7, all_211_0_294, 0 and discharging atoms member(all_109_3_141, all_0_7_7) = all_211_0_294, member(all_109_3_141, all_0_7_7) = 0, yields: % 26.34/6.74 | (344) all_211_0_294 = 0 % 26.34/6.74 | % 26.34/6.74 | Equations (344) can reduce 342 to: % 26.34/6.74 | (202) $false % 26.34/6.74 | % 26.34/6.74 |-The branch is then unsatisfiable % 26.34/6.74 |-Branch two: % 26.34/6.74 | (351) ~ (all_211_0_294 = 0) & member(all_71_2_124, all_0_6_6) = all_211_0_294 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (351) yields: % 26.34/6.74 | (342) ~ (all_211_0_294 = 0) % 26.34/6.74 | (353) member(all_71_2_124, all_0_6_6) = all_211_0_294 % 26.34/6.74 | % 26.34/6.74 | Instantiating formula (188) with all_71_2_124, all_0_6_6, all_211_0_294, 0 and discharging atoms member(all_71_2_124, all_0_6_6) = all_211_0_294, member(all_71_2_124, all_0_6_6) = 0, yields: % 26.34/6.74 | (344) all_211_0_294 = 0 % 26.34/6.74 | % 26.34/6.74 | Equations (344) can reduce 342 to: % 26.34/6.74 | (202) $false % 26.34/6.74 | % 26.34/6.74 |-The branch is then unsatisfiable % 26.34/6.74 |-Branch two: % 26.34/6.74 | (356) ~ (all_109_3_141 = 0) & member(all_71_1_123, all_0_8_8) = all_109_3_141 % 26.34/6.74 | % 26.34/6.74 | Applying alpha-rule on (356) yields: % 26.34/6.74 | (357) ~ (all_109_3_141 = 0) % 26.34/6.74 | (358) member(all_71_1_123, all_0_8_8) = all_109_3_141 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_71_1_123, all_0_8_8, all_109_3_141, 0 and discharging atoms member(all_71_1_123, all_0_8_8) = all_109_3_141, member(all_71_1_123, all_0_8_8) = 0, yields: % 26.34/6.75 | (359) all_109_3_141 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (359) can reduce 357 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (361) ~ (all_109_3_141 = 0) & member(all_71_2_124, all_0_6_6) = all_109_3_141 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (361) yields: % 26.34/6.75 | (357) ~ (all_109_3_141 = 0) % 26.34/6.75 | (363) member(all_71_2_124, all_0_6_6) = all_109_3_141 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_71_2_124, all_0_6_6, all_109_3_141, 0 and discharging atoms member(all_71_2_124, all_0_6_6) = all_109_3_141, member(all_71_2_124, all_0_6_6) = 0, yields: % 26.34/6.75 | (359) all_109_3_141 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (359) can reduce 357 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (366) ~ (all_82_0_127 = all_78_0_125) % 26.34/6.75 | (367) ? [v0] : (( ~ (v0 = 0) & apply(all_0_10_10, all_71_0_122, all_78_0_125) = v0) | ( ~ (v0 = 0) & member(all_82_0_127, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_0_122, all_0_8_8) = v0)) % 26.34/6.75 | % 26.34/6.75 | Instantiating (367) with all_162_0_691 yields: % 26.34/6.75 | (368) ( ~ (all_162_0_691 = 0) & apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_162_0_691) | ( ~ (all_162_0_691 = 0) & member(all_82_0_127, all_0_7_7) = all_162_0_691) | ( ~ (all_162_0_691 = 0) & member(all_71_0_122, all_0_8_8) = all_162_0_691) % 26.34/6.75 | % 26.34/6.75 +-Applying beta-rule and splitting (368), into two cases. % 26.34/6.75 |-Branch one: % 26.34/6.75 | (369) ( ~ (all_162_0_691 = 0) & apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_162_0_691) | ( ~ (all_162_0_691 = 0) & member(all_82_0_127, all_0_7_7) = all_162_0_691) % 26.34/6.75 | % 26.34/6.75 +-Applying beta-rule and splitting (369), into two cases. % 26.34/6.75 |-Branch one: % 26.34/6.75 | (370) ~ (all_162_0_691 = 0) & apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_162_0_691 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (370) yields: % 26.34/6.75 | (371) ~ (all_162_0_691 = 0) % 26.34/6.75 | (372) apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_162_0_691 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (43) with all_0_10_10, all_71_0_122, all_78_0_125, 0, all_162_0_691 and discharging atoms apply(all_0_10_10, all_71_0_122, all_78_0_125) = all_162_0_691, apply(all_0_10_10, all_71_0_122, all_78_0_125) = 0, yields: % 26.34/6.75 | (373) all_162_0_691 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (373) can reduce 371 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (375) ~ (all_162_0_691 = 0) & member(all_82_0_127, all_0_7_7) = all_162_0_691 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (375) yields: % 26.34/6.75 | (371) ~ (all_162_0_691 = 0) % 26.34/6.75 | (377) member(all_82_0_127, all_0_7_7) = all_162_0_691 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_82_0_127, all_0_7_7, all_162_0_691, 0 and discharging atoms member(all_82_0_127, all_0_7_7) = all_162_0_691, member(all_82_0_127, all_0_7_7) = 0, yields: % 26.34/6.75 | (373) all_162_0_691 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (373) can reduce 371 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (380) ~ (all_162_0_691 = 0) & member(all_71_0_122, all_0_8_8) = all_162_0_691 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (380) yields: % 26.34/6.75 | (371) ~ (all_162_0_691 = 0) % 26.34/6.75 | (382) member(all_71_0_122, all_0_8_8) = all_162_0_691 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_71_0_122, all_0_8_8, all_162_0_691, 0 and discharging atoms member(all_71_0_122, all_0_8_8) = all_162_0_691, member(all_71_0_122, all_0_8_8) = 0, yields: % 26.34/6.75 | (373) all_162_0_691 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (373) can reduce 371 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (385) ~ (all_149_0_153 = 0) & member(all_82_0_127, all_0_7_7) = all_149_0_153 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (385) yields: % 26.34/6.75 | (292) ~ (all_149_0_153 = 0) % 26.34/6.75 | (387) member(all_82_0_127, all_0_7_7) = all_149_0_153 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_82_0_127, all_0_7_7, all_149_0_153, 0 and discharging atoms member(all_82_0_127, all_0_7_7) = all_149_0_153, member(all_82_0_127, all_0_7_7) = 0, yields: % 26.34/6.75 | (388) all_149_0_153 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (388) can reduce 292 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (390) ~ (all_149_0_153 = 0) & member(all_71_0_122, all_0_8_8) = all_149_0_153 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (390) yields: % 26.34/6.75 | (292) ~ (all_149_0_153 = 0) % 26.34/6.75 | (392) member(all_71_0_122, all_0_8_8) = all_149_0_153 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_71_0_122, all_0_8_8, all_149_0_153, 0 and discharging atoms member(all_71_0_122, all_0_8_8) = all_149_0_153, member(all_71_0_122, all_0_8_8) = 0, yields: % 26.34/6.75 | (388) all_149_0_153 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (388) can reduce 292 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (395) ~ (all_110_0_142 = 0) & member(all_85_3_132, all_0_7_7) = all_110_0_142 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (395) yields: % 26.34/6.75 | (396) ~ (all_110_0_142 = 0) % 26.34/6.75 | (397) member(all_85_3_132, all_0_7_7) = all_110_0_142 % 26.34/6.75 | % 26.34/6.75 | From (252) and (397) follows: % 26.34/6.75 | (398) member(all_78_0_125, all_0_7_7) = all_110_0_142 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_78_0_125, all_0_7_7, all_110_0_142, 0 and discharging atoms member(all_78_0_125, all_0_7_7) = all_110_0_142, member(all_78_0_125, all_0_7_7) = 0, yields: % 26.34/6.75 | (257) all_110_0_142 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (257) can reduce 396 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (401) ~ (all_110_0_142 = 0) & member(all_71_0_122, all_0_8_8) = all_110_0_142 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (401) yields: % 26.34/6.75 | (396) ~ (all_110_0_142 = 0) % 26.34/6.75 | (403) member(all_71_0_122, all_0_8_8) = all_110_0_142 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_71_0_122, all_0_8_8, all_110_0_142, 0 and discharging atoms member(all_71_0_122, all_0_8_8) = all_110_0_142, member(all_71_0_122, all_0_8_8) = 0, yields: % 26.34/6.75 | (257) all_110_0_142 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (257) can reduce 396 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (406) ~ (all_85_3_132 = all_78_0_125) % 26.34/6.75 | (407) ? [v0] : (( ~ (v0 = 0) & apply(all_0_9_9, all_85_3_132, all_71_2_124) = v0) | ( ~ (v0 = 0) & member(all_78_0_125, all_0_7_7) = v0) | ( ~ (v0 = 0) & member(all_71_2_124, all_0_6_6) = v0)) % 26.34/6.75 | % 26.34/6.75 | Instantiating (407) with all_126_0_753 yields: % 26.34/6.75 | (408) ( ~ (all_126_0_753 = 0) & apply(all_0_9_9, all_85_3_132, all_71_2_124) = all_126_0_753) | ( ~ (all_126_0_753 = 0) & member(all_78_0_125, all_0_7_7) = all_126_0_753) | ( ~ (all_126_0_753 = 0) & member(all_71_2_124, all_0_6_6) = all_126_0_753) % 26.34/6.75 | % 26.34/6.75 +-Applying beta-rule and splitting (408), into two cases. % 26.34/6.75 |-Branch one: % 26.34/6.75 | (409) ( ~ (all_126_0_753 = 0) & apply(all_0_9_9, all_85_3_132, all_71_2_124) = all_126_0_753) | ( ~ (all_126_0_753 = 0) & member(all_78_0_125, all_0_7_7) = all_126_0_753) % 26.34/6.75 | % 26.34/6.75 +-Applying beta-rule and splitting (409), into two cases. % 26.34/6.75 |-Branch one: % 26.34/6.75 | (410) ~ (all_126_0_753 = 0) & apply(all_0_9_9, all_85_3_132, all_71_2_124) = all_126_0_753 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (410) yields: % 26.34/6.75 | (411) ~ (all_126_0_753 = 0) % 26.34/6.75 | (412) apply(all_0_9_9, all_85_3_132, all_71_2_124) = all_126_0_753 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (43) with all_0_9_9, all_85_3_132, all_71_2_124, 0, all_126_0_753 and discharging atoms apply(all_0_9_9, all_85_3_132, all_71_2_124) = all_126_0_753, apply(all_0_9_9, all_85_3_132, all_71_2_124) = 0, yields: % 26.34/6.75 | (413) all_126_0_753 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (413) can reduce 411 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (415) ~ (all_126_0_753 = 0) & member(all_78_0_125, all_0_7_7) = all_126_0_753 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (415) yields: % 26.34/6.75 | (411) ~ (all_126_0_753 = 0) % 26.34/6.75 | (417) member(all_78_0_125, all_0_7_7) = all_126_0_753 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_78_0_125, all_0_7_7, all_126_0_753, 0 and discharging atoms member(all_78_0_125, all_0_7_7) = all_126_0_753, member(all_78_0_125, all_0_7_7) = 0, yields: % 26.34/6.75 | (413) all_126_0_753 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (413) can reduce 411 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (420) ~ (all_126_0_753 = 0) & member(all_71_2_124, all_0_6_6) = all_126_0_753 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (420) yields: % 26.34/6.75 | (411) ~ (all_126_0_753 = 0) % 26.34/6.75 | (422) member(all_71_2_124, all_0_6_6) = all_126_0_753 % 26.34/6.75 | % 26.34/6.75 | Instantiating formula (188) with all_71_2_124, all_0_6_6, all_126_0_753, 0 and discharging atoms member(all_71_2_124, all_0_6_6) = all_126_0_753, member(all_71_2_124, all_0_6_6) = 0, yields: % 26.34/6.75 | (413) all_126_0_753 = 0 % 26.34/6.75 | % 26.34/6.75 | Equations (413) can reduce 411 to: % 26.34/6.75 | (202) $false % 26.34/6.75 | % 26.34/6.75 |-The branch is then unsatisfiable % 26.34/6.75 |-Branch two: % 26.34/6.75 | (425) ~ (all_111_0_143 = 0) & member(all_85_3_132, all_0_7_7) = all_111_0_143 % 26.34/6.75 | % 26.34/6.75 | Applying alpha-rule on (425) yields: % 26.34/6.75 | (426) ~ (all_111_0_143 = 0) % 26.34/6.75 | (427) member(all_85_3_132, all_0_7_7) = all_111_0_143 % 26.34/6.75 | % 26.34/6.76 | Instantiating formula (188) with all_85_3_132, all_0_7_7, all_111_0_143, 0 and discharging atoms member(all_85_3_132, all_0_7_7) = all_111_0_143, member(all_85_3_132, all_0_7_7) = 0, yields: % 26.34/6.76 | (250) all_111_0_143 = 0 % 26.34/6.76 | % 26.34/6.76 | Equations (250) can reduce 426 to: % 26.34/6.76 | (202) $false % 26.34/6.76 | % 26.34/6.76 |-The branch is then unsatisfiable % 26.34/6.76 |-Branch two: % 26.34/6.76 | (430) ~ (all_111_0_143 = 0) & member(all_71_2_124, all_0_6_6) = all_111_0_143 % 26.34/6.76 | % 26.34/6.76 | Applying alpha-rule on (430) yields: % 26.34/6.76 | (426) ~ (all_111_0_143 = 0) % 26.34/6.76 | (432) member(all_71_2_124, all_0_6_6) = all_111_0_143 % 26.34/6.76 | % 26.34/6.76 | Instantiating formula (188) with all_71_2_124, all_0_6_6, all_111_0_143, 0 and discharging atoms member(all_71_2_124, all_0_6_6) = all_111_0_143, member(all_71_2_124, all_0_6_6) = 0, yields: % 26.34/6.76 | (250) all_111_0_143 = 0 % 26.34/6.76 | % 26.34/6.76 | Equations (250) can reduce 426 to: % 26.34/6.76 | (202) $false % 26.34/6.76 | % 26.34/6.76 |-The branch is then unsatisfiable % 26.34/6.76 |-Branch two: % 26.34/6.76 | (435) ~ (all_85_3_132 = 0) & member(all_71_0_122, all_0_8_8) = all_85_3_132 % 26.34/6.76 | % 26.34/6.76 | Applying alpha-rule on (435) yields: % 26.34/6.76 | (436) ~ (all_85_3_132 = 0) % 26.34/6.76 | (437) member(all_71_0_122, all_0_8_8) = all_85_3_132 % 26.34/6.76 | % 26.34/6.76 | Instantiating formula (188) with all_71_0_122, all_0_8_8, all_85_3_132, 0 and discharging atoms member(all_71_0_122, all_0_8_8) = all_85_3_132, member(all_71_0_122, all_0_8_8) = 0, yields: % 26.34/6.76 | (438) all_85_3_132 = 0 % 26.34/6.76 | % 26.34/6.76 | Equations (438) can reduce 436 to: % 26.34/6.76 | (202) $false % 26.34/6.76 | % 26.34/6.76 |-The branch is then unsatisfiable % 26.34/6.76 |-Branch two: % 26.34/6.76 | (440) ~ (all_85_3_132 = 0) & member(all_71_2_124, all_0_6_6) = all_85_3_132 % 26.34/6.76 | % 26.34/6.76 | Applying alpha-rule on (440) yields: % 26.34/6.76 | (436) ~ (all_85_3_132 = 0) % 26.34/6.76 | (442) member(all_71_2_124, all_0_6_6) = all_85_3_132 % 26.34/6.76 | % 26.34/6.76 | Instantiating formula (188) with all_71_2_124, all_0_6_6, all_85_3_132, 0 and discharging atoms member(all_71_2_124, all_0_6_6) = all_85_3_132, member(all_71_2_124, all_0_6_6) = 0, yields: % 26.34/6.76 | (438) all_85_3_132 = 0 % 26.34/6.76 | % 26.34/6.76 | Equations (438) can reduce 436 to: % 26.34/6.76 | (202) $false % 26.34/6.76 | % 26.34/6.76 |-The branch is then unsatisfiable % 26.34/6.76 |-Branch two: % 26.34/6.76 | (445) ~ (all_84_0_128 = 0) & member(all_71_1_123, all_0_8_8) = all_84_0_128 % 26.34/6.76 | % 26.34/6.76 | Applying alpha-rule on (445) yields: % 26.34/6.76 | (446) ~ (all_84_0_128 = 0) % 26.34/6.76 | (447) member(all_71_1_123, all_0_8_8) = all_84_0_128 % 26.34/6.76 | % 26.34/6.76 | Instantiating formula (188) with all_71_1_123, all_0_8_8, all_84_0_128, 0 and discharging atoms member(all_71_1_123, all_0_8_8) = all_84_0_128, member(all_71_1_123, all_0_8_8) = 0, yields: % 26.34/6.76 | (226) all_84_0_128 = 0 % 26.34/6.76 | % 26.34/6.76 | Equations (226) can reduce 446 to: % 26.34/6.76 | (202) $false % 26.34/6.76 | % 26.34/6.76 |-The branch is then unsatisfiable % 26.34/6.76 |-Branch two: % 26.34/6.76 | (450) ~ (all_84_0_128 = 0) & member(all_71_2_124, all_0_6_6) = all_84_0_128 % 26.34/6.76 | % 26.34/6.76 | Applying alpha-rule on (450) yields: % 26.34/6.76 | (446) ~ (all_84_0_128 = 0) % 26.34/6.76 | (452) member(all_71_2_124, all_0_6_6) = all_84_0_128 % 26.34/6.76 | % 26.34/6.76 | Instantiating formula (188) with all_71_2_124, all_0_6_6, all_84_0_128, 0 and discharging atoms member(all_71_2_124, all_0_6_6) = all_84_0_128, member(all_71_2_124, all_0_6_6) = 0, yields: % 26.34/6.76 | (226) all_84_0_128 = 0 % 26.34/6.76 | % 26.34/6.76 | Equations (226) can reduce 446 to: % 26.34/6.76 | (202) $false % 26.34/6.76 | % 26.34/6.76 |-The branch is then unsatisfiable % 26.34/6.76 % SZS output end Proof for theBenchmark % 26.34/6.76 % 26.34/6.76 6176ms %------------------------------------------------------------------------------