%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET713+4 : TPTP v8.1.0. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n010.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 00:21:34 EDT 2022 % Result : Theorem 8.65s 2.54s % Output : Proof 12.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET713+4 : TPTP v8.1.0. Bugfixed v2.2.1. % 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n010.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 : Sat Jul 9 22:08:15 EDT 2022 % 0.12/0.33 % CPUTime : % 0.55/0.57 ____ _ % 0.55/0.57 ___ / __ \_____(_)___ ________ __________ % 0.55/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.55/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.55/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.55/0.57 % 0.55/0.57 A Theorem Prover for First-Order Logic % 0.55/0.57 (ePrincess v.1.0) % 0.55/0.57 % 0.55/0.57 (c) Philipp Rümmer, 2009-2015 % 0.55/0.57 (c) Peter Backeman, 2014-2015 % 0.55/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.55/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.55/0.57 Bug reports to peter@backeman.se % 0.55/0.57 % 0.55/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.55/0.57 % 0.55/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.55/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.78/0.97 Prover 0: Preprocessing ... % 3.23/1.32 Prover 0: Warning: ignoring some quantifiers % 3.23/1.35 Prover 0: Constructing countermodel ... % 4.28/1.57 Prover 0: gave up % 4.28/1.57 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 4.28/1.63 Prover 1: Preprocessing ... % 5.60/1.87 Prover 1: Constructing countermodel ... % 5.60/1.91 Prover 1: gave up % 5.60/1.91 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 5.92/1.95 Prover 2: Preprocessing ... % 7.30/2.26 Prover 2: Warning: ignoring some quantifiers % 7.30/2.28 Prover 2: Constructing countermodel ... % 8.65/2.54 Prover 2: proved (625ms) % 8.65/2.54 % 8.65/2.54 No countermodel exists, formula is valid % 8.65/2.54 % SZS status Theorem for theBenchmark % 8.65/2.54 % 8.65/2.54 Generating proof ... Warning: ignoring some quantifiers % 11.55/3.23 found it (size 88) % 11.55/3.23 % 11.55/3.23 % SZS output start Proof for theBenchmark % 11.55/3.23 Assumed formulas after preprocessing and simplification: % 11.55/3.23 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = 0) & inverse_function(v0, v1, v2) = v3 & one_to_one(v3, v2, v1) = v4 & one_to_one(v0, v1, v2) = 0 & maps(v0, v1, v2) = 0 & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v11, v13) = v14) | ~ (apply(v7, v10, v12) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v11, v13) = 0) | ~ (apply(v7, v10, v12) = v14) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v13, v11) = v14) | ~ (apply(v7, v10, v12) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v13, v11) = v14) | ~ (apply(v5, v12, v13) = 0) | ~ (member(v10, v6) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v7, v10, v12) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v13, v11) = v14) | ~ (apply(v5, v10, v11) = 0) | ~ (member(v12, v6) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v7, v10, v12) = v15) | ( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v13, v11) = v14) | ~ (member(v12, v6) = 0) | ~ (member(v10, v6) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v7, v10, v12) = v15) | ( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v11, v13) = v14) | ~ (apply(v7, v10, v12) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v11, v13) = v14) | ~ (apply(v5, v12, v13) = 0) | ~ (member(v10, v6) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v7, v10, v12) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v11, v13) = v14) | ~ (apply(v5, v10, v11) = 0) | ~ (member(v12, v6) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v7, v10, v12) = v15) | ( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v11, v13) = v14) | ~ (member(v12, v6) = 0) | ~ (member(v10, v6) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v7, v10, v12) = v15) | ( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (compose_function(v5, v6, v7, v8, v9) = v12) | ~ (apply(v12, v10, v11) = v13) | ~ (apply(v6, v10, v14) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v14, v11) = v15) | ( ~ (v15 = 0) & member(v14, v8) = v15) | ( ~ (v15 = 0) & member(v11, v9) = v15) | ( ~ (v15 = 0) & member(v10, v7) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (compose_function(v5, v6, v7, v8, v9) = v12) | ~ (apply(v12, v10, v11) = v13) | ~ (apply(v5, v14, v11) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v6, v10, v14) = v15) | ( ~ (v15 = 0) & member(v14, v8) = v15) | ( ~ (v15 = 0) & member(v11, v9) = v15) | ( ~ (v15 = 0) & member(v10, v7) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (compose_function(v5, v6, v7, v8, v9) = v12) | ~ (apply(v12, v10, v11) = v13) | ~ (member(v14, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v6, v10, v14) = v15) | ( ~ (v15 = 0) & apply(v5, v14, v11) = v15) | ( ~ (v15 = 0) & member(v11, v9) = v15) | ( ~ (v15 = 0) & member(v10, v7) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (compose_predicate(v5, v6, v7, v8, v9, v10) = 0) | ~ (apply(v7, v11, v14) = 0) | ~ (apply(v5, v11, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & apply(v6, v14, v12) = v15) | ( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (compose_predicate(v5, v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v14, v12) = 0) | ~ (apply(v5, v11, v12) = v13) | ? [v15] : (( ~ (v15 = 0) & apply(v7, v11, v14) = v15) | ( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v13 = 0 | ~ (compose_predicate(v5, v6, v7, v8, v9, v10) = 0) | ~ (apply(v5, v11, v12) = v13) | ~ (member(v14, v9) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v7, v11, v14) = v15) | ( ~ (v15 = 0) & apply(v6, v14, v12) = v15) | ( ~ (v15 = 0) & member(v12, v10) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v11, v13) = v14) | ~ (apply(v5, v12, v13) = 0) | ~ (member(v10, v6) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | (( ~ (v14 = 0) | (v15 = 0 & apply(v7, v10, v12) = 0)) & (v14 = 0 | ( ~ (v15 = 0) & apply(v7, v10, v12) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v11, v13) = v14) | ~ (apply(v5, v10, v11) = 0) | ~ (member(v12, v6) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15) | (( ~ (v14 = 0) | (v15 = 0 & apply(v7, v10, v12) = 0)) & (v14 = 0 | ( ~ (v15 = 0) & apply(v7, v10, v12) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v9, v11, v13) = v14) | ~ (member(v12, v6) = 0) | ~ (member(v10, v6) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | (( ~ (v14 = 0) | (v15 = 0 & apply(v7, v10, v12) = 0)) & (v14 = 0 | ( ~ (v15 = 0) & apply(v7, v10, v12) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = v14) | ~ (apply(v5, v12, v13) = 0) | ~ (member(v11, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v13, v8) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15) | (( ~ (v14 = 0) | (v15 = 0 & apply(v9, v11, v13) = 0)) & (v14 = 0 | ( ~ (v15 = 0) & apply(v9, v11, v13) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = v14) | ~ (apply(v5, v10, v11) = 0) | ~ (member(v13, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v11, v8) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15) | (( ~ (v14 = 0) | (v15 = 0 & apply(v9, v11, v13) = 0)) & (v14 = 0 | ( ~ (v15 = 0) & apply(v9, v11, v13) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = v14) | ~ (member(v13, v8) = 0) | ~ (member(v11, v8) = 0) | ? [v15] : (( ~ (v15 = 0) & apply(v5, v12, v13) = v15) | ( ~ (v15 = 0) & apply(v5, v10, v11) = v15) | ( ~ (v15 = 0) & member(v12, v6) = v15) | ( ~ (v15 = 0) & member(v10, v6) = v15) | (( ~ (v14 = 0) | (v15 = 0 & apply(v9, v11, v13) = 0)) & (v14 = 0 | ( ~ (v15 = 0) & apply(v9, v11, v13) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v5, v12, v13) = 0) | ~ (apply(v5, v10, v11) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | ( ~ (v14 = 0) & member(v11, v8) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14) | (((v15 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14)) & ((v14 = 0 & apply(v7, v10, v12) = 0) | ( ~ (v15 = 0) & apply(v9, v11, v13) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v5, v12, v13) = 0) | ~ (member(v11, v8) = 0) | ~ (member(v10, v6) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & apply(v5, v10, v11) = v14) | ( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | (((v15 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14)) & ((v14 = 0 & apply(v7, v10, v12) = 0) | ( ~ (v15 = 0) & apply(v9, v11, v13) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (apply(v5, v10, v11) = 0) | ~ (member(v13, v8) = 0) | ~ (member(v12, v6) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & member(v11, v8) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14) | (((v15 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14)) & ((v14 = 0 & apply(v7, v10, v12) = 0) | ( ~ (v15 = 0) & apply(v9, v11, v13) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | ~ (member(v13, v8) = 0) | ~ (member(v12, v6) = 0) | ~ (member(v11, v8) = 0) | ~ (member(v10, v6) = 0) | ? [v14] : ? [v15] : (( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & apply(v5, v10, v11) = v14) | (((v15 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14)) & ((v14 = 0 & apply(v7, v10, v12) = 0) | ( ~ (v15 = 0) & apply(v9, v11, v13) = v15))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (apply(v5, v12, v13) = 0) | ~ (member(v11, v8) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v13, v11) = 0) | ( ~ (v14 = 0) & apply(v5, v10, v11) = v14) | ( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (apply(v5, v10, v11) = 0) | ~ (member(v13, v8) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v13, v11) = 0) | ( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | ( ~ (v14 = 0) & member(v11, v8) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (member(v13, v8) = 0) | ~ (member(v11, v8) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v13, v11) = 0) | ( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & apply(v5, v10, v11) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v5, v12, v13) = 0) | ~ (apply(v5, v10, v11) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v13, v11) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14) | ( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | ( ~ (v14 = 0) & member(v11, v8) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v5, v12, v13) = 0) | ~ (member(v11, v8) = 0) | ~ (member(v10, v6) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v13, v11) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14) | ( ~ (v14 = 0) & apply(v5, v10, v11) = v14) | ( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v5, v10, v11) = 0) | ~ (member(v13, v8) = 0) | ~ (member(v12, v6) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v13, v11) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14) | ( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & member(v11, v8) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (decreasing(v5, v6, v7, v8, v9) = 0) | ~ (member(v13, v8) = 0) | ~ (member(v12, v6) = 0) | ~ (member(v11, v8) = 0) | ~ (member(v10, v6) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v13, v11) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14) | ( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & apply(v5, v10, v11) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (apply(v5, v12, v13) = 0) | ~ (member(v11, v8) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v5, v10, v11) = v14) | ( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (apply(v5, v10, v11) = 0) | ~ (member(v13, v8) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | ( ~ (v14 = 0) & member(v11, v8) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (member(v13, v8) = 0) | ~ (member(v11, v8) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & apply(v5, v10, v11) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v5, v12, v13) = 0) | ~ (apply(v5, v10, v11) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14) | ( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14) | ( ~ (v14 = 0) & member(v11, v8) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v5, v12, v13) = 0) | ~ (member(v11, v8) = 0) | ~ (member(v10, v6) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14) | ( ~ (v14 = 0) & apply(v5, v10, v11) = v14) | ( ~ (v14 = 0) & member(v13, v8) = v14) | ( ~ (v14 = 0) & member(v12, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (apply(v5, v10, v11) = 0) | ~ (member(v13, v8) = 0) | ~ (member(v12, v6) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14) | ( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & member(v11, v8) = v14) | ( ~ (v14 = 0) & member(v10, v6) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (increasing(v5, v6, v7, v8, v9) = 0) | ~ (member(v13, v8) = 0) | ~ (member(v12, v6) = 0) | ~ (member(v11, v8) = 0) | ~ (member(v10, v6) = 0) | ? [v14] : ((v14 = 0 & apply(v9, v11, v13) = 0) | ( ~ (v14 = 0) & apply(v7, v10, v12) = v14) | ( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ~ (v14 = 0) & apply(v5, v10, v11) = v14))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v6 = v5 | ~ (compose_predicate(v12, v11, v10, v9, v8, v7) = v6) | ~ (compose_predicate(v12, v11, v10, v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (compose_function(v5, v6, v7, v8, v9) = v12) | ~ (apply(v12, v10, v11) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = 0 & v15 = 0 & v14 = 0 & apply(v6, v10, v13) = 0 & apply(v5, v13, v11) = 0 & member(v13, v8) = 0) | ( ~ (v13 = 0) & member(v11, v9) = v13) | ( ~ (v13 = 0) & member(v10, v7) = v13))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (compose_predicate(v5, v6, v7, v8, v9, v10) = 0) | ~ (apply(v5, v11, v12) = 0) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = 0 & v15 = 0 & v14 = 0 & apply(v7, v11, v13) = 0 & apply(v6, v13, v12) = 0 & member(v13, v9) = 0) | ( ~ (v13 = 0) & member(v12, v10) = v13) | ( ~ (v13 = 0) & member(v11, v8) = v13))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (equal_maps(v5, v6, v7, v8) = 0) | ~ (apply(v6, v9, v11) = 0) | ~ (apply(v5, v9, v10) = 0) | ? [v12] : (( ~ (v12 = 0) & member(v11, v8) = v12) | ( ~ (v12 = 0) & member(v10, v8) = v12) | ( ~ (v12 = 0) & member(v9, v7) = v12))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (equal_maps(v5, v6, v7, v8) = 0) | ~ (apply(v6, v9, v11) = 0) | ~ (member(v10, v8) = 0) | ? [v12] : (( ~ (v12 = 0) & apply(v5, v9, v10) = v12) | ( ~ (v12 = 0) & member(v11, v8) = v12) | ( ~ (v12 = 0) & member(v9, v7) = v12))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (equal_maps(v5, v6, v7, v8) = 0) | ~ (apply(v5, v9, v10) = 0) | ~ (member(v11, v8) = 0) | ? [v12] : (( ~ (v12 = 0) & apply(v6, v9, v11) = v12) | ( ~ (v12 = 0) & member(v10, v8) = v12) | ( ~ (v12 = 0) & member(v9, v7) = v12))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (equal_maps(v5, v6, v7, v8) = 0) | ~ (member(v11, v8) = 0) | ~ (member(v10, v8) = 0) | ~ (member(v9, v7) = 0) | ? [v12] : (( ~ (v12 = 0) & apply(v6, v9, v11) = v12) | ( ~ (v12 = 0) & apply(v5, v9, v10) = v12))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (compose_predicate(v5, v6, v7, v8, v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : (member(v13, v10) = 0 & member(v12, v8) = 0 & ((v18 = 0 & v17 = 0 & v16 = 0 & apply(v7, v12, v15) = 0 & apply(v6, v15, v13) = 0 & member(v15, v9) = 0) | (v14 = 0 & apply(v5, v12, v13) = 0)) & (( ~ (v14 = 0) & apply(v5, v12, v13) = v14) | ( ! [v19] : ( ~ (apply(v7, v12, v19) = 0) | ? [v20] : (( ~ (v20 = 0) & apply(v6, v19, v13) = v20) | ( ~ (v20 = 0) & member(v19, v9) = v20))) & ! [v19] : ( ~ (apply(v6, v19, v13) = 0) | ? [v20] : (( ~ (v20 = 0) & apply(v7, v12, v19) = v20) | ( ~ (v20 = 0) & member(v19, v9) = v20))) & ! [v19] : ( ~ (member(v19, v9) = 0) | ? [v20] : (( ~ (v20 = 0) & apply(v7, v12, v19) = v20) | ( ~ (v20 = 0) & apply(v6, v19, v13) = v20))))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (inverse_image3(v5, v6, v7) = v9) | ~ (apply(v5, v8, v11) = 0) | ~ (member(v8, v9) = v10) | ? [v12] : (( ~ (v12 = 0) & member(v11, v6) = v12) | ( ~ (v12 = 0) & member(v8, v7) = v12))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (inverse_image3(v5, v6, v7) = v9) | ~ (member(v11, v6) = 0) | ~ (member(v8, v9) = v10) | ? [v12] : (( ~ (v12 = 0) & apply(v5, v8, v11) = v12) | ( ~ (v12 = 0) & member(v8, v7) = v12))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (image3(v5, v6, v7) = v9) | ~ (apply(v5, v11, v8) = 0) | ~ (member(v8, v9) = v10) | ? [v12] : (( ~ (v12 = 0) & member(v11, v6) = v12) | ( ~ (v12 = 0) & member(v8, v7) = v12))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (image3(v5, v6, v7) = v9) | ~ (member(v11, v6) = 0) | ~ (member(v8, v9) = v10) | ? [v12] : (( ~ (v12 = 0) & apply(v5, v11, v8) = v12) | ( ~ (v12 = 0) & member(v8, v7) = v12))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v6 = v5 | ~ (isomorphism(v11, v10, v9, v8, v7) = v6) | ~ (isomorphism(v11, v10, v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v6 = v5 | ~ (decreasing(v11, v10, v9, v8, v7) = v6) | ~ (decreasing(v11, v10, v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v6 = v5 | ~ (increasing(v11, v10, v9, v8, v7) = v6) | ~ (increasing(v11, v10, v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v6 = v5 | ~ (compose_function(v11, v10, v9, v8, v7) = v6) | ~ (compose_function(v11, v10, v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (inverse_function(v5, v6, v7) = v10) | ~ (apply(v10, v9, v8) = v11) | ? [v12] : (( ~ (v12 = 0) & member(v9, v7) = v12) | ( ~ (v12 = 0) & member(v8, v6) = v12) | (( ~ (v11 = 0) | (v12 = 0 & apply(v5, v8, v9) = 0)) & (v11 = 0 | ( ~ (v12 = 0) & apply(v5, v8, v9) = v12))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (inverse_predicate(v5, v6, v7, v8) = 0) | ~ (apply(v6, v9, v10) = v11) | ? [v12] : (( ~ (v12 = 0) & member(v10, v8) = v12) | ( ~ (v12 = 0) & member(v9, v7) = v12) | (( ~ (v11 = 0) | (v12 = 0 & apply(v5, v10, v9) = 0)) & (v11 = 0 | ( ~ (v12 = 0) & apply(v5, v10, v9) = v12))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (inverse_predicate(v5, v6, v7, v8) = 0) | ~ (apply(v5, v10, v9) = v11) | ? [v12] : (( ~ (v12 = 0) & member(v10, v8) = v12) | ( ~ (v12 = 0) & member(v9, v7) = v12) | (( ~ (v11 = 0) | (v12 = 0 & apply(v6, v9, v10) = 0)) & (v11 = 0 | ( ~ (v12 = 0) & apply(v6, v9, v10) = v12))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v9 | ~ (maps(v5, v6, v7) = 0) | ~ (apply(v5, v8, v10) = 0) | ~ (apply(v5, v8, v9) = 0) | ? [v11] : (( ~ (v11 = 0) & member(v10, v7) = v11) | ( ~ (v11 = 0) & member(v9, v7) = v11) | ( ~ (v11 = 0) & member(v8, v6) = v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v9 | ~ (maps(v5, v6, v7) = 0) | ~ (apply(v5, v8, v10) = 0) | ~ (member(v9, v7) = 0) | ? [v11] : (( ~ (v11 = 0) & apply(v5, v8, v9) = v11) | ( ~ (v11 = 0) & member(v10, v7) = v11) | ( ~ (v11 = 0) & member(v8, v6) = v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v9 | ~ (maps(v5, v6, v7) = 0) | ~ (apply(v5, v8, v9) = 0) | ~ (member(v10, v7) = 0) | ? [v11] : (( ~ (v11 = 0) & apply(v5, v8, v10) = v11) | ( ~ (v11 = 0) & member(v9, v7) = v11) | ( ~ (v11 = 0) & member(v8, v6) = v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = v9 | ~ (maps(v5, v6, v7) = 0) | ~ (member(v10, v7) = 0) | ~ (member(v9, v7) = 0) | ~ (member(v8, v6) = 0) | ? [v11] : (( ~ (v11 = 0) & apply(v5, v8, v10) = v11) | ( ~ (v11 = 0) & apply(v5, v8, v9) = v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (isomorphism(v5, v6, v7, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ((v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & v15 = 0 & apply(v5, v13, v14) = 0 & apply(v5, v11, v12) = 0 & member(v14, v8) = 0 & member(v13, v6) = 0 & member(v12, v8) = 0 & member(v11, v6) = 0 & ((v22 = 0 & apply(v9, v12, v14) = 0) | (v21 = 0 & apply(v7, v11, v13) = 0)) & (( ~ (v22 = 0) & apply(v9, v12, v14) = v22) | ( ~ (v21 = 0) & apply(v7, v11, v13) = v21))) | ( ~ (v11 = 0) & one_to_one(v5, v6, v8) = v11) | ( ~ (v11 = 0) & maps(v5, v6, v8) = v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (decreasing(v5, v6, v7, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = 0) & apply(v9, v14, v12) = v15 & apply(v7, v11, v13) = 0 & apply(v5, v13, v14) = 0 & apply(v5, v11, v12) = 0 & member(v14, v8) = 0 & member(v13, v6) = 0 & member(v12, v8) = 0 & member(v11, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (increasing(v5, v6, v7, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ( ~ (v15 = 0) & apply(v9, v12, v14) = v15 & apply(v7, v11, v13) = 0 & apply(v5, v13, v14) = 0 & apply(v5, v11, v12) = 0 & member(v14, v8) = 0 & member(v13, v6) = 0 & member(v12, v8) = 0 & member(v11, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (injective(v5, v6, v7) = 0) | ~ (apply(v5, v9, v10) = 0) | ~ (apply(v5, v8, v10) = 0) | ? [v11] : (( ~ (v11 = 0) & member(v10, v7) = v11) | ( ~ (v11 = 0) & member(v9, v6) = v11) | ( ~ (v11 = 0) & member(v8, v6) = v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (injective(v5, v6, v7) = 0) | ~ (apply(v5, v9, v10) = 0) | ~ (member(v8, v6) = 0) | ? [v11] : (( ~ (v11 = 0) & apply(v5, v8, v10) = v11) | ( ~ (v11 = 0) & member(v10, v7) = v11) | ( ~ (v11 = 0) & member(v9, v6) = v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (injective(v5, v6, v7) = 0) | ~ (apply(v5, v8, v10) = 0) | ~ (member(v9, v6) = 0) | ? [v11] : (( ~ (v11 = 0) & apply(v5, v9, v10) = v11) | ( ~ (v11 = 0) & member(v10, v7) = v11) | ( ~ (v11 = 0) & member(v8, v6) = v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (injective(v5, v6, v7) = 0) | ~ (member(v10, v7) = 0) | ~ (member(v9, v6) = 0) | ~ (member(v8, v6) = 0) | ? [v11] : (( ~ (v11 = 0) & apply(v5, v9, v10) = v11) | ( ~ (v11 = 0) & apply(v5, v8, v10) = v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = 0 | ~ (inverse_image2(v5, v6) = v8) | ~ (apply(v5, v7, v10) = 0) | ~ (member(v7, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & member(v10, v6) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = 0 | ~ (inverse_image2(v5, v6) = v8) | ~ (member(v10, v6) = 0) | ~ (member(v7, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & apply(v5, v7, v10) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = 0 | ~ (image2(v5, v6) = v8) | ~ (apply(v5, v10, v7) = 0) | ~ (member(v7, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & member(v10, v6) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = 0 | ~ (image2(v5, v6) = v8) | ~ (member(v10, v6) = 0) | ~ (member(v7, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & apply(v5, v10, v7) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v6 = v5 | ~ (inverse_predicate(v10, v9, v8, v7) = v6) | ~ (inverse_predicate(v10, v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v6 = v5 | ~ (equal_maps(v10, v9, v8, v7) = v6) | ~ (equal_maps(v10, v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (inverse_predicate(v5, v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : (member(v11, v8) = 0 & member(v10, v7) = 0 & ((v13 = 0 & apply(v5, v11, v10) = 0) | (v12 = 0 & apply(v6, v10, v11) = 0)) & (( ~ (v13 = 0) & apply(v5, v11, v10) = v13) | ( ~ (v12 = 0) & apply(v6, v10, v11) = v12)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (equal_maps(v5, v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ( ~ (v12 = v11) & apply(v6, v10, v12) = 0 & apply(v5, v10, v11) = 0 & member(v12, v8) = 0 & member(v11, v8) = 0 & member(v10, v7) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (product(v6) = v7) | ~ (member(v5, v8) = v9) | ~ (member(v5, v7) = 0) | ? [v10] : ( ~ (v10 = 0) & member(v8, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (difference(v7, v6) = v8) | ~ (member(v5, v8) = v9) | ? [v10] : ((v10 = 0 & member(v5, v6) = 0) | ( ~ (v10 = 0) & member(v5, v7) = v10))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (union(v6, v7) = v8) | ~ (member(v5, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & ~ (v10 = 0) & member(v5, v7) = v11 & member(v5, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (intersection(v6, v7) = v8) | ~ (member(v5, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & member(v5, v7) = v10) | ( ~ (v10 = 0) & member(v5, v6) = v10))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (sum(v6) = v7) | ~ (member(v9, v6) = 0) | ~ (member(v5, v7) = v8) | ? [v10] : ( ~ (v10 = 0) & member(v5, v9) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = 0 | ~ (sum(v6) = v7) | ~ (member(v5, v9) = 0) | ~ (member(v5, v7) = v8) | ? [v10] : ( ~ (v10 = 0) & member(v9, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = v5 | ~ (inverse_image3(v9, v8, v7) = v6) | ~ (inverse_image3(v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = v5 | ~ (image3(v9, v8, v7) = v6) | ~ (image3(v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = v5 | ~ (inverse_function(v9, v8, v7) = v6) | ~ (inverse_function(v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = v5 | ~ (one_to_one(v9, v8, v7) = v6) | ~ (one_to_one(v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = v5 | ~ (surjective(v9, v8, v7) = v6) | ~ (surjective(v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = v5 | ~ (injective(v9, v8, v7) = v6) | ~ (injective(v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = v5 | ~ (maps(v9, v8, v7) = v6) | ~ (maps(v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v6 = v5 | ~ (apply(v9, v8, v7) = v6) | ~ (apply(v9, v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (isomorphism(v5, v6, v7, v8, v9) = 0) | (one_to_one(v5, v6, v8) = 0 & maps(v5, v6, v8) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (inverse_image3(v5, v6, v7) = v9) | ~ (member(v8, v9) = 0) | member(v8, v7) = 0) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (inverse_image3(v5, v6, v7) = v9) | ~ (member(v8, v9) = 0) | ? [v10] : (apply(v5, v8, v10) = 0 & member(v10, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (image3(v5, v6, v7) = v9) | ~ (member(v8, v9) = 0) | member(v8, v7) = 0) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (image3(v5, v6, v7) = v9) | ~ (member(v8, v9) = 0) | ? [v10] : (apply(v5, v10, v8) = 0 & member(v10, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (one_to_one(v5, v6, v7) = v8) | ? [v9] : (( ~ (v9 = 0) & surjective(v5, v6, v7) = v9) | ( ~ (v9 = 0) & injective(v5, v6, v7) = v9))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (surjective(v5, v6, v7) = v8) | ? [v9] : (member(v9, v7) = 0 & ! [v10] : ( ~ (apply(v5, v10, v9) = 0) | ? [v11] : ( ~ (v11 = 0) & member(v10, v6) = v11)) & ! [v10] : ( ~ (member(v10, v6) = 0) | ? [v11] : ( ~ (v11 = 0) & apply(v5, v10, v9) = v11)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (injective(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v10 = v9) & apply(v5, v10, v11) = 0 & apply(v5, v9, v11) = 0 & member(v11, v7) = 0 & member(v10, v6) = 0 & member(v9, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (identity(v5, v6) = 0) | ~ (apply(v5, v7, v7) = v8) | ? [v9] : ( ~ (v9 = 0) & member(v7, v6) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (maps(v5, v6, v7) = v8) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ((v16 = 0 & v15 = 0 & v14 = 0 & v13 = 0 & v12 = 0 & ~ (v11 = v10) & apply(v5, v9, v11) = 0 & apply(v5, v9, v10) = 0 & member(v11, v7) = 0 & member(v10, v7) = 0 & member(v9, v6) = 0) | (v10 = 0 & member(v9, v6) = 0 & ! [v17] : ( ~ (apply(v5, v9, v17) = 0) | ? [v18] : ( ~ (v18 = 0) & member(v17, v7) = v18)) & ! [v17] : ( ~ (member(v17, v7) = 0) | ? [v18] : ( ~ (v18 = 0) & apply(v5, v9, v17) = v18))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (product(v6) = v7) | ~ (member(v5, v7) = v8) | ? [v9] : ? [v10] : ( ~ (v10 = 0) & member(v9, v6) = 0 & member(v5, v9) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (unordered_pair(v6, v5) = v7) | ~ (member(v5, v7) = v8)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (unordered_pair(v5, v6) = v7) | ~ (member(v5, v7) = v8)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (power_set(v6) = v7) | ~ (member(v5, v7) = v8) | ? [v9] : ( ~ (v9 = 0) & subset(v5, v6) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (subset(v5, v6) = 0) | ~ (member(v7, v6) = v8) | ? [v9] : ( ~ (v9 = 0) & member(v7, v5) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v7 = v5 | v6 = v5 | ~ (unordered_pair(v6, v7) = v8) | ~ (member(v5, v8) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (inverse_image2(v8, v7) = v6) | ~ (inverse_image2(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (image2(v8, v7) = v6) | ~ (image2(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (identity(v8, v7) = v6) | ~ (identity(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (unordered_pair(v8, v7) = v6) | ~ (unordered_pair(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (difference(v8, v7) = v6) | ~ (difference(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (union(v8, v7) = v6) | ~ (union(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (intersection(v8, v7) = v6) | ~ (intersection(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (equal_set(v8, v7) = v6) | ~ (equal_set(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (subset(v8, v7) = v6) | ~ (subset(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (member(v8, v7) = v6) | ~ (member(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (inverse_image2(v5, v6) = v8) | ~ (member(v7, v8) = 0) | ? [v9] : (apply(v5, v7, v9) = 0 & member(v9, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (image2(v5, v6) = v8) | ~ (member(v7, v8) = 0) | ? [v9] : (apply(v5, v9, v7) = 0 & member(v9, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (surjective(v5, v6, v7) = v8) | ? [v9] : ((v9 = 0 & v8 = 0 & injective(v5, v6, v7) = 0) | ( ~ (v9 = 0) & one_to_one(v5, v6, v7) = v9))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (surjective(v5, v6, v7) = 0) | ~ (member(v8, v7) = 0) | ? [v9] : (apply(v5, v9, v8) = 0 & member(v9, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (injective(v5, v6, v7) = v8) | ? [v9] : ((v9 = 0 & v8 = 0 & surjective(v5, v6, v7) = 0) | ( ~ (v9 = 0) & one_to_one(v5, v6, v7) = v9))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (maps(v5, v6, v7) = 0) | ~ (member(v8, v6) = 0) | ? [v9] : (apply(v5, v8, v9) = 0 & member(v9, v7) = 0)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (product(v6) = v7) | ~ (member(v8, v6) = 0) | ~ (member(v5, v7) = 0) | member(v5, v8) = 0) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (difference(v7, v6) = v8) | ~ (member(v5, v8) = 0) | ? [v9] : ( ~ (v9 = 0) & member(v5, v7) = 0 & member(v5, v6) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (union(v6, v7) = v8) | ~ (member(v5, v8) = 0) | ? [v9] : ((v9 = 0 & member(v5, v7) = 0) | (v9 = 0 & member(v5, v6) = 0))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (intersection(v6, v7) = v8) | ~ (member(v5, v8) = 0) | (member(v5, v7) = 0 & member(v5, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (identity(v5, v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & apply(v5, v8, v8) = v9 & member(v8, v6) = 0)) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (singleton(v5) = v6) | ~ (member(v5, v6) = v7)) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (equal_set(v5, v6) = v7) | ? [v8] : (( ~ (v8 = 0) & subset(v6, v5) = v8) | ( ~ (v8 = 0) & subset(v5, v6) = v8))) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (subset(v5, v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & power_set(v6) = v8 & member(v5, v8) = v9)) & ! [v5] : ! [v6] : ! [v7] : (v7 = 0 | ~ (subset(v5, v6) = v7) | ? [v8] : ? [v9] : ( ~ (v9 = 0) & member(v8, v6) = v9 & member(v8, v5) = 0)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (product(v7) = v6) | ~ (product(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (sum(v7) = v6) | ~ (sum(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (singleton(v7) = v6) | ~ (singleton(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (singleton(v6) = v7) | ~ (member(v5, v7) = 0)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (power_set(v7) = v6) | ~ (power_set(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (one_to_one(v5, v6, v7) = 0) | (surjective(v5, v6, v7) = 0 & injective(v5, v6, v7) = 0)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (surjective(v5, v6, v7) = 0) | ? [v8] : ((v8 = 0 & one_to_one(v5, v6, v7) = 0) | ( ~ (v8 = 0) & injective(v5, v6, v7) = v8))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (injective(v5, v6, v7) = 0) | ? [v8] : ((v8 = 0 & one_to_one(v5, v6, v7) = 0) | ( ~ (v8 = 0) & surjective(v5, v6, v7) = v8))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (identity(v5, v6) = 0) | ~ (member(v7, v6) = 0) | apply(v5, v7, v7) = 0) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sum(v6) = v7) | ~ (member(v5, v7) = 0) | ? [v8] : (member(v8, v6) = 0 & member(v5, v8) = 0)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (power_set(v6) = v7) | ~ (member(v5, v7) = 0) | subset(v5, v6) = 0) & ! [v5] : ! [v6] : ! [v7] : ( ~ (subset(v6, v5) = v7) | ? [v8] : ((v8 = 0 & v7 = 0 & subset(v5, v6) = 0) | ( ~ (v8 = 0) & equal_set(v5, v6) = v8))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (subset(v5, v6) = v7) | ? [v8] : ((v8 = 0 & v7 = 0 & subset(v6, v5) = 0) | ( ~ (v8 = 0) & equal_set(v5, v6) = v8))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (subset(v5, v6) = 0) | ~ (member(v7, v5) = 0) | member(v7, v6) = 0) & ! [v5] : ! [v6] : ( ~ (equal_set(v5, v6) = 0) | (subset(v6, v5) = 0 & subset(v5, v6) = 0)) & ! [v5] : ! [v6] : ( ~ (subset(v6, v5) = 0) | ? [v7] : ((v7 = 0 & equal_set(v5, v6) = 0) | ( ~ (v7 = 0) & subset(v5, v6) = v7))) & ! [v5] : ! [v6] : ( ~ (subset(v5, v6) = 0) | ? [v7] : (power_set(v6) = v7 & member(v5, v7) = 0)) & ! [v5] : ! [v6] : ( ~ (subset(v5, v6) = 0) | ? [v7] : ((v7 = 0 & equal_set(v5, v6) = 0) | ( ~ (v7 = 0) & subset(v6, v5) = v7))) & ! [v5] : ~ (member(v5, empty_set) = 0) & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : compose_predicate(v10, v9, v8, v7, v6, v5) = v11 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : isomorphism(v9, v8, v7, v6, v5) = v10 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : decreasing(v9, v8, v7, v6, v5) = v10 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : increasing(v9, v8, v7, v6, v5) = v10 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : compose_function(v9, v8, v7, v6, v5) = v10 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : inverse_predicate(v8, v7, v6, v5) = v9 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : equal_maps(v8, v7, v6, v5) = v9 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : inverse_image3(v7, v6, v5) = v8 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : image3(v7, v6, v5) = v8 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : inverse_function(v7, v6, v5) = v8 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : one_to_one(v7, v6, v5) = v8 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : surjective(v7, v6, v5) = v8 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : injective(v7, v6, v5) = v8 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : maps(v7, v6, v5) = v8 & ? [v5] : ? [v6] : ? [v7] : ? [v8] : apply(v7, v6, v5) = v8 & ? [v5] : ? [v6] : ? [v7] : inverse_image2(v6, v5) = v7 & ? [v5] : ? [v6] : ? [v7] : image2(v6, v5) = v7 & ? [v5] : ? [v6] : ? [v7] : identity(v6, v5) = v7 & ? [v5] : ? [v6] : ? [v7] : unordered_pair(v6, v5) = v7 & ? [v5] : ? [v6] : ? [v7] : difference(v6, v5) = v7 & ? [v5] : ? [v6] : ? [v7] : union(v6, v5) = v7 & ? [v5] : ? [v6] : ? [v7] : intersection(v6, v5) = v7 & ? [v5] : ? [v6] : ? [v7] : equal_set(v6, v5) = v7 & ? [v5] : ? [v6] : ? [v7] : subset(v6, v5) = v7 & ? [v5] : ? [v6] : ? [v7] : member(v6, v5) = v7 & ? [v5] : ? [v6] : product(v5) = v6 & ? [v5] : ? [v6] : sum(v5) = v6 & ? [v5] : ? [v6] : singleton(v5) = v6 & ? [v5] : ? [v6] : power_set(v5) = v6) % 12.18/3.33 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields: % 12.18/3.33 | (1) ~ (all_0_0_0 = 0) & inverse_function(all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1 & one_to_one(all_0_1_1, all_0_2_2, all_0_3_3) = all_0_0_0 & one_to_one(all_0_4_4, all_0_3_3, all_0_2_2) = 0 & maps(all_0_4_4, all_0_3_3, all_0_2_2) = 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 % 12.18/3.37 | % 12.18/3.37 | Applying alpha-rule on (1) yields: % 12.18/3.37 | (2) ? [v0] : ? [v1] : product(v0) = v1 % 12.41/3.37 | (3) ! [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))) % 12.41/3.37 | (4) ! [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))) % 12.41/3.37 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v1, v0) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) % 12.41/3.37 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) % 12.41/3.37 | (7) ! [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))) % 12.41/3.37 | (8) ? [v0] : ? [v1] : ? [v2] : image2(v1, v0) = v2 % 12.41/3.37 | (9) ? [v0] : ? [v1] : ? [v2] : intersection(v1, v0) = v2 % 12.41/3.37 | (10) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) % 12.41/3.37 | (11) ! [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))) % 12.41/3.38 | (12) ! [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))) % 12.41/3.38 | (13) ! [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))))) % 12.41/3.38 | (14) ! [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))))) % 12.41/3.38 | (15) ! [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))) % 12.41/3.38 | (16) ! [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))) % 12.41/3.38 | (17) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : isomorphism(v4, v3, v2, v1, v0) = v5 % 12.41/3.38 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0)) % 12.41/3.38 | (19) ? [v0] : ? [v1] : sum(v0) = v1 % 12.41/3.38 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) % 12.41/3.38 | (21) ! [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))))) % 12.41/3.38 | (22) ! [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))) % 12.41/3.38 | (23) ! [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)) % 12.41/3.38 | (24) ! [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))) % 12.41/3.38 | (25) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : compose_function(v4, v3, v2, v1, v0) = v5 % 12.41/3.38 | (26) ! [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))))))) % 12.41/3.38 | (27) ! [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))) % 12.41/3.38 | (28) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : equal_maps(v3, v2, v1, v0) = v4 % 12.41/3.38 | (29) ! [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))) % 12.41/3.38 | (30) ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 % 12.41/3.38 | (31) ! [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))) % 12.41/3.38 | (32) ! [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))) % 12.41/3.38 | (33) one_to_one(all_0_4_4, all_0_3_3, all_0_2_2) = 0 % 12.41/3.38 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0)) % 12.41/3.38 | (35) ! [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))) % 12.41/3.39 | (36) ! [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))) % 12.41/3.39 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4)) % 12.41/3.39 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0)) % 12.41/3.39 | (39) ! [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))) % 12.41/3.39 | (40) ! [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)) % 12.41/3.39 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0)) % 12.41/3.39 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0)) % 12.41/3.39 | (43) ! [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))) % 12.41/3.39 | (44) ! [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)) % 12.41/3.39 | (45) ! [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))))) % 12.41/3.39 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0)) % 12.41/3.39 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3)) % 12.41/3.39 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0)) % 12.41/3.39 | (49) ! [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)))) % 12.41/3.39 | (50) ! [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))) % 12.41/3.39 | (51) ? [v0] : ? [v1] : ? [v2] : identity(v1, v0) = v2 % 12.41/3.39 | (52) ! [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))) % 12.41/3.39 | (53) ! [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))) % 12.41/3.39 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) % 12.41/3.39 | (55) ! [v0] : ~ (member(v0, empty_set) = 0) % 12.41/3.39 | (56) ! [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))) % 12.41/3.39 | (57) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : inverse_predicate(v3, v2, v1, v0) = v4 % 12.41/3.39 | (58) ! [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)) % 12.41/3.39 | (59) ! [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)) % 12.41/3.39 | (60) ! [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)) % 12.41/3.39 | (61) ! [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))) % 12.41/3.39 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0)) % 12.41/3.39 | (63) ! [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))) % 12.41/3.39 | (64) ? [v0] : ? [v1] : ? [v2] : ? [v3] : surjective(v2, v1, v0) = v3 % 12.41/3.39 | (65) ! [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))) % 12.41/3.39 | (66) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_function(v2, v1, v0) = v3 % 12.41/3.39 | (67) ! [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))) % 12.41/3.39 | (68) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : compose_predicate(v5, v4, v3, v2, v1, v0) = v6 % 12.41/3.39 | (69) ? [v0] : ? [v1] : ? [v2] : ? [v3] : apply(v2, v1, v0) = v3 % 12.41/3.40 | (70) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) % 12.41/3.40 | (71) ! [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))) % 12.41/3.40 | (72) ! [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))))) % 12.41/3.40 | (73) ? [v0] : ? [v1] : ? [v2] : ? [v3] : image3(v2, v1, v0) = v3 % 12.41/3.40 | (74) ! [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)) % 12.41/3.40 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) % 12.41/3.40 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0)) % 12.41/3.40 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0)) % 12.41/3.40 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0)) % 12.41/3.40 | (79) ! [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))) % 12.41/3.40 | (80) ! [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)) % 12.41/3.40 | (81) ! [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))) % 12.41/3.40 | (82) ? [v0] : ? [v1] : ? [v2] : member(v1, v0) = v2 % 12.41/3.40 | (83) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v1, v0) = v2))) % 12.41/3.40 | (84) ! [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))))) % 12.41/3.40 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0)) % 12.41/3.40 | (86) ! [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))))) % 12.41/3.40 | (87) ! [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))))) % 12.41/3.40 | (88) ? [v0] : ? [v1] : ? [v2] : ? [v3] : one_to_one(v2, v1, v0) = v3 % 12.41/3.40 | (89) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0)) % 12.41/3.40 | (90) ! [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))) % 12.41/3.40 | (91) ! [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))) % 12.41/3.40 | (92) ? [v0] : ? [v1] : ? [v2] : inverse_image2(v1, v0) = v2 % 12.41/3.40 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) % 12.41/3.40 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) % 12.41/3.40 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) % 12.41/3.40 | (96) ! [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))))) % 12.41/3.40 | (97) ! [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))) % 12.41/3.40 | (98) maps(all_0_4_4, all_0_3_3, all_0_2_2) = 0 % 12.41/3.40 | (99) ! [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)) % 12.41/3.40 | (100) ! [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))) % 12.41/3.40 | (101) ! [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)) % 12.41/3.40 | (102) ! [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))) % 12.41/3.40 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) % 12.41/3.41 | (104) ! [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))) % 12.41/3.41 | (105) ! [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))) % 12.41/3.41 | (106) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : increasing(v4, v3, v2, v1, v0) = v5 % 12.41/3.41 | (107) ? [v0] : ? [v1] : singleton(v0) = v1 % 12.41/3.41 | (108) ! [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))) % 12.41/3.41 | (109) ! [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))) % 12.41/3.41 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) % 12.41/3.41 | (111) ? [v0] : ? [v1] : power_set(v0) = v1 % 12.41/3.41 | (112) ? [v0] : ? [v1] : ? [v2] : difference(v1, v0) = v2 % 12.41/3.41 | (113) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0)) % 12.41/3.41 | (114) ! [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))) % 12.41/3.41 | (115) ! [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))) % 12.41/3.41 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3)) % 12.41/3.41 | (117) ! [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))))) % 12.41/3.41 | (118) ? [v0] : ? [v1] : ? [v2] : equal_set(v1, v0) = v2 % 12.41/3.41 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) % 12.41/3.41 | (120) ! [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)) % 12.41/3.41 | (121) ~ (all_0_0_0 = 0) % 12.41/3.41 | (122) ! [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))) % 12.41/3.41 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) % 12.41/3.41 | (124) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0)) % 12.41/3.41 | (125) ! [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)) % 12.41/3.41 | (126) ! [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)) % 12.41/3.41 | (127) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v0, v1) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) % 12.41/3.41 | (128) ! [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))))) % 12.41/3.41 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) % 12.41/3.41 | (130) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4)) % 12.41/3.41 | (131) ! [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))))) % 12.41/3.41 | (132) ! [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))) % 12.41/3.41 | (133) ! [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))) % 12.41/3.41 | (134) ! [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))) % 12.41/3.41 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0)) % 12.41/3.41 | (136) ! [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))) % 12.41/3.41 | (137) ! [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))) % 12.41/3.42 | (138) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4)) % 12.41/3.42 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) % 12.41/3.42 | (140) ! [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))) % 12.41/3.42 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) % 12.41/3.42 | (142) ! [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))) % 12.41/3.42 | (143) ! [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)) % 12.41/3.42 | (144) ! [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)))) % 12.41/3.42 | (145) ! [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))) % 12.41/3.42 | (146) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0)) % 12.41/3.42 | (147) ! [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))) % 12.41/3.42 | (148) ? [v0] : ? [v1] : ? [v2] : ? [v3] : maps(v2, v1, v0) = v3 % 12.41/3.42 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) % 12.41/3.42 | (150) ! [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))) % 12.41/3.42 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) % 12.41/3.42 | (152) ! [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))))) % 12.41/3.42 | (153) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) % 12.41/3.42 | (154) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_image3(v2, v1, v0) = v3 % 12.41/3.42 | (155) ! [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))))) % 12.41/3.42 | (156) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : decreasing(v4, v3, v2, v1, v0) = v5 % 12.41/3.42 | (157) ! [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))) % 12.41/3.42 | (158) one_to_one(all_0_1_1, all_0_2_2, all_0_3_3) = all_0_0_0 % 12.41/3.42 | (159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) % 12.41/3.42 | (160) inverse_function(all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1 % 12.41/3.42 | (161) ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0) % 12.41/3.42 | (162) ! [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))) % 12.41/3.42 | (163) ! [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))) % 12.41/3.42 | (164) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0) % 12.41/3.42 | (165) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) % 12.41/3.42 | (166) ! [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))) % 12.41/3.42 | (167) ! [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)) % 12.41/3.42 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0)) % 12.41/3.42 | (169) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) % 12.41/3.42 | (170) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0)) % 12.41/3.42 | (171) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & subset(v1, v0) = v3) | ( ~ (v3 = 0) & subset(v0, v1) = v3))) % 12.41/3.42 | (172) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0)) % 12.41/3.42 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0)) % 12.41/3.42 | (174) ? [v0] : ? [v1] : ? [v2] : union(v1, v0) = v2 % 12.41/3.42 | (175) ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v0, v1) = v2))) % 12.41/3.42 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0)) % 12.41/3.42 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) % 12.41/3.42 | (178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) % 12.41/3.42 | (179) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) % 12.41/3.42 | (180) ! [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))) % 12.41/3.43 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0)) % 12.41/3.43 | (182) ? [v0] : ? [v1] : ? [v2] : ? [v3] : injective(v2, v1, v0) = v3 % 12.41/3.43 | (183) ! [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))) % 12.41/3.43 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0) % 12.41/3.43 | (185) ! [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))) % 12.41/3.43 | (186) ? [v0] : ? [v1] : ? [v2] : unordered_pair(v1, v0) = v2 % 12.41/3.43 | (187) ! [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)) % 12.41/3.43 | % 12.41/3.43 | Instantiating formula (52) with all_0_0_0, all_0_3_3, all_0_2_2, all_0_1_1 and discharging atoms one_to_one(all_0_1_1, all_0_2_2, all_0_3_3) = all_0_0_0, yields: % 12.41/3.43 | (188) all_0_0_0 = 0 | ? [v0] : (( ~ (v0 = 0) & surjective(all_0_1_1, all_0_2_2, all_0_3_3) = v0) | ( ~ (v0 = 0) & injective(all_0_1_1, all_0_2_2, all_0_3_3) = v0)) % 12.41/3.43 | % 12.41/3.43 +-Applying beta-rule and splitting (188), into two cases. % 12.41/3.43 |-Branch one: % 12.41/3.43 | (189) all_0_0_0 = 0 % 12.41/3.43 | % 12.41/3.43 | Equations (189) can reduce 121 to: % 12.41/3.43 | (190) $false % 12.41/3.43 | % 12.41/3.43 |-The branch is then unsatisfiable % 12.41/3.43 |-Branch two: % 12.41/3.43 | (121) ~ (all_0_0_0 = 0) % 12.41/3.43 | (192) ? [v0] : (( ~ (v0 = 0) & surjective(all_0_1_1, all_0_2_2, all_0_3_3) = v0) | ( ~ (v0 = 0) & injective(all_0_1_1, all_0_2_2, all_0_3_3) = v0)) % 12.41/3.43 | % 12.41/3.43 | Instantiating (192) with all_71_0_116 yields: % 12.41/3.43 | (193) ( ~ (all_71_0_116 = 0) & surjective(all_0_1_1, all_0_2_2, all_0_3_3) = all_71_0_116) | ( ~ (all_71_0_116 = 0) & injective(all_0_1_1, all_0_2_2, all_0_3_3) = all_71_0_116) % 12.41/3.43 | % 12.41/3.43 +-Applying beta-rule and splitting (193), into two cases. % 12.41/3.43 |-Branch one: % 12.41/3.43 | (194) ~ (all_71_0_116 = 0) & surjective(all_0_1_1, all_0_2_2, all_0_3_3) = all_71_0_116 % 12.41/3.43 | % 12.41/3.43 | Applying alpha-rule on (194) yields: % 12.41/3.43 | (195) ~ (all_71_0_116 = 0) % 12.41/3.43 | (196) surjective(all_0_1_1, all_0_2_2, all_0_3_3) = all_71_0_116 % 12.41/3.43 | % 12.41/3.43 | Instantiating formula (49) with all_71_0_116, all_0_3_3, all_0_2_2, all_0_1_1 and discharging atoms surjective(all_0_1_1, all_0_2_2, all_0_3_3) = all_71_0_116, yields: % 12.41/3.43 | (197) all_71_0_116 = 0 | ? [v0] : (member(v0, all_0_3_3) = 0 & ! [v1] : ( ~ (apply(all_0_1_1, v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & member(v1, all_0_2_2) = v2)) & ! [v1] : ( ~ (member(v1, all_0_2_2) = 0) | ? [v2] : ( ~ (v2 = 0) & apply(all_0_1_1, v1, v0) = v2))) % 12.41/3.43 | % 12.41/3.43 +-Applying beta-rule and splitting (197), into two cases. % 12.41/3.43 |-Branch one: % 12.41/3.43 | (198) all_71_0_116 = 0 % 12.41/3.43 | % 12.41/3.43 | Equations (198) can reduce 195 to: % 12.41/3.43 | (190) $false % 12.41/3.43 | % 12.41/3.43 |-The branch is then unsatisfiable % 12.41/3.43 |-Branch two: % 12.41/3.43 | (195) ~ (all_71_0_116 = 0) % 12.41/3.43 | (201) ? [v0] : (member(v0, all_0_3_3) = 0 & ! [v1] : ( ~ (apply(all_0_1_1, v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & member(v1, all_0_2_2) = v2)) & ! [v1] : ( ~ (member(v1, all_0_2_2) = 0) | ? [v2] : ( ~ (v2 = 0) & apply(all_0_1_1, v1, v0) = v2))) % 12.41/3.43 | % 12.41/3.43 | Instantiating (201) with all_86_0_117 yields: % 12.41/3.43 | (202) member(all_86_0_117, all_0_3_3) = 0 & ! [v0] : ( ~ (apply(all_0_1_1, v0, all_86_0_117) = 0) | ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_2_2) = v1)) & ! [v0] : ( ~ (member(v0, all_0_2_2) = 0) | ? [v1] : ( ~ (v1 = 0) & apply(all_0_1_1, v0, all_86_0_117) = v1)) % 12.41/3.43 | % 12.41/3.43 | Applying alpha-rule on (202) yields: % 12.41/3.43 | (203) member(all_86_0_117, all_0_3_3) = 0 % 12.41/3.43 | (204) ! [v0] : ( ~ (apply(all_0_1_1, v0, all_86_0_117) = 0) | ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_2_2) = v1)) % 12.41/3.43 | (205) ! [v0] : ( ~ (member(v0, all_0_2_2) = 0) | ? [v1] : ( ~ (v1 = 0) & apply(all_0_1_1, v0, all_86_0_117) = v1)) % 12.41/3.43 | % 12.41/3.43 | Instantiating formula (38) with all_86_0_117, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms maps(all_0_4_4, all_0_3_3, all_0_2_2) = 0, member(all_86_0_117, all_0_3_3) = 0, yields: % 12.41/3.43 | (206) ? [v0] : (apply(all_0_4_4, all_86_0_117, v0) = 0 & member(v0, all_0_2_2) = 0) % 12.41/3.43 | % 12.41/3.43 | Instantiating (206) with all_94_0_118 yields: % 12.41/3.43 | (207) apply(all_0_4_4, all_86_0_117, all_94_0_118) = 0 & member(all_94_0_118, all_0_2_2) = 0 % 12.41/3.43 | % 12.41/3.43 | Applying alpha-rule on (207) yields: % 12.41/3.43 | (208) apply(all_0_4_4, all_86_0_117, all_94_0_118) = 0 % 12.41/3.43 | (209) member(all_94_0_118, all_0_2_2) = 0 % 12.41/3.43 | % 12.41/3.43 | Instantiating formula (205) with all_94_0_118 and discharging atoms member(all_94_0_118, all_0_2_2) = 0, yields: % 12.41/3.43 | (210) ? [v0] : ( ~ (v0 = 0) & apply(all_0_1_1, all_94_0_118, all_86_0_117) = v0) % 12.41/3.43 | % 12.41/3.43 | Instantiating (210) with all_101_0_119 yields: % 12.41/3.43 | (211) ~ (all_101_0_119 = 0) & apply(all_0_1_1, all_94_0_118, all_86_0_117) = all_101_0_119 % 12.41/3.43 | % 12.41/3.43 | Applying alpha-rule on (211) yields: % 12.41/3.43 | (212) ~ (all_101_0_119 = 0) % 12.41/3.43 | (213) apply(all_0_1_1, all_94_0_118, all_86_0_117) = all_101_0_119 % 12.41/3.43 | % 12.41/3.43 | Instantiating formula (87) with all_101_0_119, all_0_1_1, all_94_0_118, all_86_0_117, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms inverse_function(all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1, apply(all_0_1_1, all_94_0_118, all_86_0_117) = all_101_0_119, yields: % 12.41/3.43 | (214) ? [v0] : (( ~ (v0 = 0) & member(all_94_0_118, all_0_2_2) = v0) | ( ~ (v0 = 0) & member(all_86_0_117, all_0_3_3) = v0) | (( ~ (all_101_0_119 = 0) | (v0 = 0 & apply(all_0_4_4, all_86_0_117, all_94_0_118) = 0)) & (all_101_0_119 = 0 | ( ~ (v0 = 0) & apply(all_0_4_4, all_86_0_117, all_94_0_118) = v0)))) % 12.41/3.43 | % 12.41/3.43 | Instantiating (214) with all_112_0_122 yields: % 12.41/3.43 | (215) ( ~ (all_112_0_122 = 0) & member(all_94_0_118, all_0_2_2) = all_112_0_122) | ( ~ (all_112_0_122 = 0) & member(all_86_0_117, all_0_3_3) = all_112_0_122) | (( ~ (all_101_0_119 = 0) | (all_112_0_122 = 0 & apply(all_0_4_4, all_86_0_117, all_94_0_118) = 0)) & (all_101_0_119 = 0 | ( ~ (all_112_0_122 = 0) & apply(all_0_4_4, all_86_0_117, all_94_0_118) = all_112_0_122))) % 12.41/3.43 | % 12.41/3.43 +-Applying beta-rule and splitting (215), into two cases. % 12.41/3.43 |-Branch one: % 12.41/3.43 | (216) ( ~ (all_112_0_122 = 0) & member(all_94_0_118, all_0_2_2) = all_112_0_122) | ( ~ (all_112_0_122 = 0) & member(all_86_0_117, all_0_3_3) = all_112_0_122) % 12.41/3.43 | % 12.41/3.43 +-Applying beta-rule and splitting (216), into two cases. % 12.41/3.43 |-Branch one: % 12.41/3.43 | (217) ~ (all_112_0_122 = 0) & member(all_94_0_118, all_0_2_2) = all_112_0_122 % 12.41/3.43 | % 12.41/3.43 | Applying alpha-rule on (217) yields: % 12.41/3.43 | (218) ~ (all_112_0_122 = 0) % 12.41/3.43 | (219) member(all_94_0_118, all_0_2_2) = all_112_0_122 % 12.41/3.43 | % 12.41/3.43 | Instantiating formula (94) with all_94_0_118, all_0_2_2, all_112_0_122, 0 and discharging atoms member(all_94_0_118, all_0_2_2) = all_112_0_122, member(all_94_0_118, all_0_2_2) = 0, yields: % 12.41/3.43 | (220) all_112_0_122 = 0 % 12.41/3.43 | % 12.41/3.43 | Equations (220) can reduce 218 to: % 12.41/3.43 | (190) $false % 12.41/3.43 | % 12.41/3.43 |-The branch is then unsatisfiable % 12.41/3.43 |-Branch two: % 12.41/3.43 | (222) ~ (all_112_0_122 = 0) & member(all_86_0_117, all_0_3_3) = all_112_0_122 % 12.41/3.43 | % 12.41/3.43 | Applying alpha-rule on (222) yields: % 12.41/3.43 | (218) ~ (all_112_0_122 = 0) % 12.41/3.43 | (224) member(all_86_0_117, all_0_3_3) = all_112_0_122 % 12.41/3.43 | % 12.41/3.43 | Instantiating formula (94) with all_86_0_117, all_0_3_3, all_112_0_122, 0 and discharging atoms member(all_86_0_117, all_0_3_3) = all_112_0_122, member(all_86_0_117, all_0_3_3) = 0, yields: % 12.41/3.43 | (220) all_112_0_122 = 0 % 12.41/3.43 | % 12.41/3.43 | Equations (220) can reduce 218 to: % 12.41/3.43 | (190) $false % 12.41/3.43 | % 12.41/3.43 |-The branch is then unsatisfiable % 12.41/3.43 |-Branch two: % 12.41/3.43 | (227) ( ~ (all_101_0_119 = 0) | (all_112_0_122 = 0 & apply(all_0_4_4, all_86_0_117, all_94_0_118) = 0)) & (all_101_0_119 = 0 | ( ~ (all_112_0_122 = 0) & apply(all_0_4_4, all_86_0_117, all_94_0_118) = all_112_0_122)) % 12.41/3.43 | % 12.41/3.43 | Applying alpha-rule on (227) yields: % 12.41/3.43 | (228) ~ (all_101_0_119 = 0) | (all_112_0_122 = 0 & apply(all_0_4_4, all_86_0_117, all_94_0_118) = 0) % 12.41/3.43 | (229) all_101_0_119 = 0 | ( ~ (all_112_0_122 = 0) & apply(all_0_4_4, all_86_0_117, all_94_0_118) = all_112_0_122) % 12.41/3.44 | % 12.41/3.44 +-Applying beta-rule and splitting (229), into two cases. % 12.41/3.44 |-Branch one: % 12.41/3.44 | (230) all_101_0_119 = 0 % 12.41/3.44 | % 12.41/3.44 | Equations (230) can reduce 212 to: % 12.41/3.44 | (190) $false % 12.41/3.44 | % 12.41/3.44 |-The branch is then unsatisfiable % 12.41/3.44 |-Branch two: % 12.41/3.44 | (212) ~ (all_101_0_119 = 0) % 12.41/3.44 | (233) ~ (all_112_0_122 = 0) & apply(all_0_4_4, all_86_0_117, all_94_0_118) = all_112_0_122 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (233) yields: % 12.41/3.44 | (218) ~ (all_112_0_122 = 0) % 12.41/3.44 | (235) apply(all_0_4_4, all_86_0_117, all_94_0_118) = all_112_0_122 % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (173) with all_0_4_4, all_86_0_117, all_94_0_118, all_112_0_122, 0 and discharging atoms apply(all_0_4_4, all_86_0_117, all_94_0_118) = all_112_0_122, apply(all_0_4_4, all_86_0_117, all_94_0_118) = 0, yields: % 12.41/3.44 | (220) all_112_0_122 = 0 % 12.41/3.44 | % 12.41/3.44 | Equations (220) can reduce 218 to: % 12.41/3.44 | (190) $false % 12.41/3.44 | % 12.41/3.44 |-The branch is then unsatisfiable % 12.41/3.44 |-Branch two: % 12.41/3.44 | (238) ~ (all_71_0_116 = 0) & injective(all_0_1_1, all_0_2_2, all_0_3_3) = all_71_0_116 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (238) yields: % 12.41/3.44 | (195) ~ (all_71_0_116 = 0) % 12.41/3.44 | (240) injective(all_0_1_1, all_0_2_2, all_0_3_3) = all_71_0_116 % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (126) with all_71_0_116, all_0_3_3, all_0_2_2, all_0_1_1 and discharging atoms injective(all_0_1_1, all_0_2_2, all_0_3_3) = all_71_0_116, yields: % 12.41/3.44 | (241) all_71_0_116 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = v0) & apply(all_0_1_1, v1, v2) = 0 & apply(all_0_1_1, v0, v2) = 0 & member(v2, all_0_3_3) = 0 & member(v1, all_0_2_2) = 0 & member(v0, all_0_2_2) = 0) % 12.41/3.44 | % 12.41/3.44 +-Applying beta-rule and splitting (241), into two cases. % 12.41/3.44 |-Branch one: % 12.41/3.44 | (198) all_71_0_116 = 0 % 12.41/3.44 | % 12.41/3.44 | Equations (198) can reduce 195 to: % 12.41/3.44 | (190) $false % 12.41/3.44 | % 12.41/3.44 |-The branch is then unsatisfiable % 12.41/3.44 |-Branch two: % 12.41/3.44 | (195) ~ (all_71_0_116 = 0) % 12.41/3.44 | (245) ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = v0) & apply(all_0_1_1, v1, v2) = 0 & apply(all_0_1_1, v0, v2) = 0 & member(v2, all_0_3_3) = 0 & member(v1, all_0_2_2) = 0 & member(v0, all_0_2_2) = 0) % 12.41/3.44 | % 12.41/3.44 | Instantiating (245) with all_86_0_130, all_86_1_131, all_86_2_132 yields: % 12.41/3.44 | (246) ~ (all_86_1_131 = all_86_2_132) & apply(all_0_1_1, all_86_1_131, all_86_0_130) = 0 & apply(all_0_1_1, all_86_2_132, all_86_0_130) = 0 & member(all_86_0_130, all_0_3_3) = 0 & member(all_86_1_131, all_0_2_2) = 0 & member(all_86_2_132, all_0_2_2) = 0 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (246) yields: % 12.41/3.44 | (247) apply(all_0_1_1, all_86_1_131, all_86_0_130) = 0 % 12.41/3.44 | (248) ~ (all_86_1_131 = all_86_2_132) % 12.41/3.44 | (249) apply(all_0_1_1, all_86_2_132, all_86_0_130) = 0 % 12.41/3.44 | (250) member(all_86_0_130, all_0_3_3) = 0 % 12.41/3.44 | (251) member(all_86_2_132, all_0_2_2) = 0 % 12.41/3.44 | (252) member(all_86_1_131, all_0_2_2) = 0 % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (87) with 0, all_0_1_1, all_86_1_131, all_86_0_130, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms inverse_function(all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1, apply(all_0_1_1, all_86_1_131, all_86_0_130) = 0, yields: % 12.41/3.44 | (253) ? [v0] : ((v0 = 0 & apply(all_0_4_4, all_86_0_130, all_86_1_131) = 0) | ( ~ (v0 = 0) & member(all_86_0_130, all_0_3_3) = v0) | ( ~ (v0 = 0) & member(all_86_1_131, all_0_2_2) = v0)) % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (87) with 0, all_0_1_1, all_86_2_132, all_86_0_130, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms inverse_function(all_0_4_4, all_0_3_3, all_0_2_2) = all_0_1_1, apply(all_0_1_1, all_86_2_132, all_86_0_130) = 0, yields: % 12.41/3.44 | (254) ? [v0] : ((v0 = 0 & apply(all_0_4_4, all_86_0_130, all_86_2_132) = 0) | ( ~ (v0 = 0) & member(all_86_0_130, all_0_3_3) = v0) | ( ~ (v0 = 0) & member(all_86_2_132, all_0_2_2) = v0)) % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (142) with all_86_2_132, all_86_1_131, all_86_0_130, all_0_2_2, all_0_3_3, all_0_4_4 and discharging atoms maps(all_0_4_4, all_0_3_3, all_0_2_2) = 0, member(all_86_0_130, all_0_3_3) = 0, member(all_86_1_131, all_0_2_2) = 0, member(all_86_2_132, all_0_2_2) = 0, yields: % 12.41/3.44 | (255) all_86_1_131 = all_86_2_132 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_4_4, all_86_0_130, all_86_1_131) = v0) | ( ~ (v0 = 0) & apply(all_0_4_4, all_86_0_130, all_86_2_132) = v0)) % 12.41/3.44 | % 12.41/3.44 | Instantiating (254) with all_97_0_135 yields: % 12.41/3.44 | (256) (all_97_0_135 = 0 & apply(all_0_4_4, all_86_0_130, all_86_2_132) = 0) | ( ~ (all_97_0_135 = 0) & member(all_86_0_130, all_0_3_3) = all_97_0_135) | ( ~ (all_97_0_135 = 0) & member(all_86_2_132, all_0_2_2) = all_97_0_135) % 12.41/3.44 | % 12.41/3.44 | Instantiating (253) with all_98_0_136 yields: % 12.41/3.44 | (257) (all_98_0_136 = 0 & apply(all_0_4_4, all_86_0_130, all_86_1_131) = 0) | ( ~ (all_98_0_136 = 0) & member(all_86_0_130, all_0_3_3) = all_98_0_136) | ( ~ (all_98_0_136 = 0) & member(all_86_1_131, all_0_2_2) = all_98_0_136) % 12.41/3.44 | % 12.41/3.44 +-Applying beta-rule and splitting (256), into two cases. % 12.41/3.44 |-Branch one: % 12.41/3.44 | (258) (all_97_0_135 = 0 & apply(all_0_4_4, all_86_0_130, all_86_2_132) = 0) | ( ~ (all_97_0_135 = 0) & member(all_86_0_130, all_0_3_3) = all_97_0_135) % 12.41/3.44 | % 12.41/3.44 +-Applying beta-rule and splitting (258), into two cases. % 12.41/3.44 |-Branch one: % 12.41/3.44 | (259) all_97_0_135 = 0 & apply(all_0_4_4, all_86_0_130, all_86_2_132) = 0 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (259) yields: % 12.41/3.44 | (260) all_97_0_135 = 0 % 12.41/3.44 | (261) apply(all_0_4_4, all_86_0_130, all_86_2_132) = 0 % 12.41/3.44 | % 12.41/3.44 +-Applying beta-rule and splitting (255), into two cases. % 12.41/3.44 |-Branch one: % 12.41/3.44 | (262) all_86_1_131 = all_86_2_132 % 12.41/3.44 | % 12.41/3.44 | Equations (262) can reduce 248 to: % 12.41/3.44 | (190) $false % 12.41/3.44 | % 12.41/3.44 |-The branch is then unsatisfiable % 12.41/3.44 |-Branch two: % 12.41/3.44 | (248) ~ (all_86_1_131 = all_86_2_132) % 12.41/3.44 | (265) ? [v0] : (( ~ (v0 = 0) & apply(all_0_4_4, all_86_0_130, all_86_1_131) = v0) | ( ~ (v0 = 0) & apply(all_0_4_4, all_86_0_130, all_86_2_132) = v0)) % 12.41/3.44 | % 12.41/3.44 | Instantiating (265) with all_108_0_138 yields: % 12.41/3.44 | (266) ( ~ (all_108_0_138 = 0) & apply(all_0_4_4, all_86_0_130, all_86_1_131) = all_108_0_138) | ( ~ (all_108_0_138 = 0) & apply(all_0_4_4, all_86_0_130, all_86_2_132) = all_108_0_138) % 12.41/3.44 | % 12.41/3.44 +-Applying beta-rule and splitting (257), into two cases. % 12.41/3.44 |-Branch one: % 12.41/3.44 | (267) (all_98_0_136 = 0 & apply(all_0_4_4, all_86_0_130, all_86_1_131) = 0) | ( ~ (all_98_0_136 = 0) & member(all_86_0_130, all_0_3_3) = all_98_0_136) % 12.41/3.44 | % 12.41/3.44 +-Applying beta-rule and splitting (267), into two cases. % 12.41/3.44 |-Branch one: % 12.41/3.44 | (268) all_98_0_136 = 0 & apply(all_0_4_4, all_86_0_130, all_86_1_131) = 0 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (268) yields: % 12.41/3.44 | (269) all_98_0_136 = 0 % 12.41/3.44 | (270) apply(all_0_4_4, all_86_0_130, all_86_1_131) = 0 % 12.41/3.44 | % 12.41/3.44 +-Applying beta-rule and splitting (266), into two cases. % 12.41/3.44 |-Branch one: % 12.41/3.44 | (271) ~ (all_108_0_138 = 0) & apply(all_0_4_4, all_86_0_130, all_86_1_131) = all_108_0_138 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (271) yields: % 12.41/3.44 | (272) ~ (all_108_0_138 = 0) % 12.41/3.44 | (273) apply(all_0_4_4, all_86_0_130, all_86_1_131) = all_108_0_138 % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (173) with all_0_4_4, all_86_0_130, all_86_1_131, 0, all_108_0_138 and discharging atoms apply(all_0_4_4, all_86_0_130, all_86_1_131) = all_108_0_138, apply(all_0_4_4, all_86_0_130, all_86_1_131) = 0, yields: % 12.41/3.44 | (274) all_108_0_138 = 0 % 12.41/3.44 | % 12.41/3.44 | Equations (274) can reduce 272 to: % 12.41/3.44 | (190) $false % 12.41/3.44 | % 12.41/3.44 |-The branch is then unsatisfiable % 12.41/3.44 |-Branch two: % 12.41/3.44 | (276) ~ (all_108_0_138 = 0) & apply(all_0_4_4, all_86_0_130, all_86_2_132) = all_108_0_138 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (276) yields: % 12.41/3.44 | (272) ~ (all_108_0_138 = 0) % 12.41/3.44 | (278) apply(all_0_4_4, all_86_0_130, all_86_2_132) = all_108_0_138 % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (173) with all_0_4_4, all_86_0_130, all_86_2_132, 0, all_108_0_138 and discharging atoms apply(all_0_4_4, all_86_0_130, all_86_2_132) = all_108_0_138, apply(all_0_4_4, all_86_0_130, all_86_2_132) = 0, yields: % 12.41/3.44 | (274) all_108_0_138 = 0 % 12.41/3.44 | % 12.41/3.44 | Equations (274) can reduce 272 to: % 12.41/3.44 | (190) $false % 12.41/3.44 | % 12.41/3.44 |-The branch is then unsatisfiable % 12.41/3.44 |-Branch two: % 12.41/3.44 | (281) ~ (all_98_0_136 = 0) & member(all_86_0_130, all_0_3_3) = all_98_0_136 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (281) yields: % 12.41/3.44 | (282) ~ (all_98_0_136 = 0) % 12.41/3.44 | (283) member(all_86_0_130, all_0_3_3) = all_98_0_136 % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (94) with all_86_0_130, all_0_3_3, all_98_0_136, 0 and discharging atoms member(all_86_0_130, all_0_3_3) = all_98_0_136, member(all_86_0_130, all_0_3_3) = 0, yields: % 12.41/3.44 | (269) all_98_0_136 = 0 % 12.41/3.44 | % 12.41/3.44 | Equations (269) can reduce 282 to: % 12.41/3.44 | (190) $false % 12.41/3.44 | % 12.41/3.44 |-The branch is then unsatisfiable % 12.41/3.44 |-Branch two: % 12.41/3.44 | (286) ~ (all_98_0_136 = 0) & member(all_86_1_131, all_0_2_2) = all_98_0_136 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (286) yields: % 12.41/3.44 | (282) ~ (all_98_0_136 = 0) % 12.41/3.44 | (288) member(all_86_1_131, all_0_2_2) = all_98_0_136 % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (94) with all_86_1_131, all_0_2_2, all_98_0_136, 0 and discharging atoms member(all_86_1_131, all_0_2_2) = all_98_0_136, member(all_86_1_131, all_0_2_2) = 0, yields: % 12.41/3.44 | (269) all_98_0_136 = 0 % 12.41/3.44 | % 12.41/3.44 | Equations (269) can reduce 282 to: % 12.41/3.44 | (190) $false % 12.41/3.44 | % 12.41/3.44 |-The branch is then unsatisfiable % 12.41/3.44 |-Branch two: % 12.41/3.44 | (291) ~ (all_97_0_135 = 0) & member(all_86_0_130, all_0_3_3) = all_97_0_135 % 12.41/3.44 | % 12.41/3.44 | Applying alpha-rule on (291) yields: % 12.41/3.44 | (292) ~ (all_97_0_135 = 0) % 12.41/3.44 | (293) member(all_86_0_130, all_0_3_3) = all_97_0_135 % 12.41/3.44 | % 12.41/3.44 | Instantiating formula (94) with all_86_0_130, all_0_3_3, all_97_0_135, 0 and discharging atoms member(all_86_0_130, all_0_3_3) = all_97_0_135, member(all_86_0_130, all_0_3_3) = 0, yields: % 12.41/3.44 | (260) all_97_0_135 = 0 % 12.41/3.44 | % 12.41/3.44 | Equations (260) can reduce 292 to: % 12.41/3.44 | (190) $false % 12.41/3.44 | % 12.41/3.44 |-The branch is then unsatisfiable % 12.41/3.44 |-Branch two: % 12.41/3.44 | (296) ~ (all_97_0_135 = 0) & member(all_86_2_132, all_0_2_2) = all_97_0_135 % 12.41/3.44 | % 12.41/3.45 | Applying alpha-rule on (296) yields: % 12.41/3.45 | (292) ~ (all_97_0_135 = 0) % 12.41/3.45 | (298) member(all_86_2_132, all_0_2_2) = all_97_0_135 % 12.41/3.45 | % 12.41/3.45 | Instantiating formula (94) with all_86_2_132, all_0_2_2, all_97_0_135, 0 and discharging atoms member(all_86_2_132, all_0_2_2) = all_97_0_135, member(all_86_2_132, all_0_2_2) = 0, yields: % 12.41/3.45 | (260) all_97_0_135 = 0 % 12.41/3.45 | % 12.41/3.45 | Equations (260) can reduce 292 to: % 12.41/3.45 | (190) $false % 12.41/3.45 | % 12.41/3.45 |-The branch is then unsatisfiable % 12.41/3.45 % SZS output end Proof for theBenchmark % 12.41/3.45 % 12.41/3.45 2862ms %------------------------------------------------------------------------------