%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SET732+4 : TPTP v8.1.0. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 00:21:42 EDT 2022 % Result : Theorem 10.75s 3.18s % Output : Proof 21.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SET732+4 : TPTP v8.1.0. Bugfixed v2.2.1. % 0.06/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n016.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 22:59:42 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.59 ____ _ % 0.19/0.59 ___ / __ \_____(_)___ ________ __________ % 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic % 0.19/0.59 (ePrincess v.1.0) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2015 % 0.19/0.59 (c) Peter Backeman, 2014-2015 % 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.59 Bug reports to peter@backeman.se % 0.19/0.59 % 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.59 % 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.73/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.99/1.01 Prover 0: Preprocessing ... % 3.63/1.45 Prover 0: Warning: ignoring some quantifiers % 3.67/1.49 Prover 0: Constructing countermodel ... % 4.61/1.75 Prover 0: gave up % 4.61/1.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 4.98/1.80 Prover 1: Preprocessing ... % 5.88/2.04 Prover 1: Constructing countermodel ... % 6.39/2.08 Prover 1: gave up % 6.39/2.08 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 6.39/2.12 Prover 2: Preprocessing ... % 7.75/2.42 Prover 2: Warning: ignoring some quantifiers % 7.89/2.44 Prover 2: Constructing countermodel ... % 10.75/3.18 Prover 2: proved (1102ms) % 10.75/3.18 % 10.75/3.18 No countermodel exists, formula is valid % 10.75/3.18 % SZS status Theorem for theBenchmark % 10.75/3.18 % 10.75/3.18 Generating proof ... Warning: ignoring some quantifiers % 19.60/5.19 found it (size 111) % 19.60/5.19 % 19.60/5.19 % SZS output start Proof for theBenchmark % 19.60/5.19 Assumed formulas after preprocessing and simplification: % 19.60/5.19 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ( ~ (v5 = 0) & image2(v0, v2) = v4 & one_to_one(v1, v2, v4) = v5 & injective(v0, v2, v3) = 0 & maps(v0, v2, v3) = 0 & subset(v4, v3) = 0 & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v12, v14) = v15) | ~ (apply(v8, v11, v13) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v12, v14) = 0) | ~ (apply(v8, v11, v13) = v15) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v14, v12) = v15) | ~ (apply(v8, v11, v13) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v14, v12) = v15) | ~ (apply(v6, v13, v14) = 0) | ~ (member(v11, v7) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v8, v11, v13) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v14, v12) = v15) | ~ (apply(v6, v11, v12) = 0) | ~ (member(v13, v7) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v8, v11, v13) = v16) | ( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v14, v12) = v15) | ~ (member(v13, v7) = 0) | ~ (member(v11, v7) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v8, v11, v13) = v16) | ( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v12, v14) = v15) | ~ (apply(v8, v11, v13) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v12, v14) = v15) | ~ (apply(v6, v13, v14) = 0) | ~ (member(v11, v7) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v8, v11, v13) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v12, v14) = v15) | ~ (apply(v6, v11, v12) = 0) | ~ (member(v13, v7) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v8, v11, v13) = v16) | ( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v12, v14) = v15) | ~ (member(v13, v7) = 0) | ~ (member(v11, v7) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v8, v11, v13) = v16) | ( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (compose_function(v6, v7, v8, v9, v10) = v13) | ~ (apply(v13, v11, v12) = v14) | ~ (apply(v7, v11, v15) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v15, v12) = v16) | ( ~ (v16 = 0) & member(v15, v9) = v16) | ( ~ (v16 = 0) & member(v12, v10) = v16) | ( ~ (v16 = 0) & member(v11, v8) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (compose_function(v6, v7, v8, v9, v10) = v13) | ~ (apply(v13, v11, v12) = v14) | ~ (apply(v6, v15, v12) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v7, v11, v15) = v16) | ( ~ (v16 = 0) & member(v15, v9) = v16) | ( ~ (v16 = 0) & member(v12, v10) = v16) | ( ~ (v16 = 0) & member(v11, v8) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (compose_function(v6, v7, v8, v9, v10) = v13) | ~ (apply(v13, v11, v12) = v14) | ~ (member(v15, v9) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v7, v11, v15) = v16) | ( ~ (v16 = 0) & apply(v6, v15, v12) = v16) | ( ~ (v16 = 0) & member(v12, v10) = v16) | ( ~ (v16 = 0) & member(v11, v8) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (compose_predicate(v6, v7, v8, v9, v10, v11) = 0) | ~ (apply(v8, v12, v15) = 0) | ~ (apply(v6, v12, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & apply(v7, v15, v13) = v16) | ( ~ (v16 = 0) & member(v15, v10) = v16) | ( ~ (v16 = 0) & member(v13, v11) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (compose_predicate(v6, v7, v8, v9, v10, v11) = 0) | ~ (apply(v7, v15, v13) = 0) | ~ (apply(v6, v12, v13) = v14) | ? [v16] : (( ~ (v16 = 0) & apply(v8, v12, v15) = v16) | ( ~ (v16 = 0) & member(v15, v10) = v16) | ( ~ (v16 = 0) & member(v13, v11) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = 0 | ~ (compose_predicate(v6, v7, v8, v9, v10, v11) = 0) | ~ (apply(v6, v12, v13) = v14) | ~ (member(v15, v10) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v8, v12, v15) = v16) | ( ~ (v16 = 0) & apply(v7, v15, v13) = v16) | ( ~ (v16 = 0) & member(v13, v11) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v12, v14) = v15) | ~ (apply(v6, v13, v14) = 0) | ~ (member(v11, v7) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | (( ~ (v15 = 0) | (v16 = 0 & apply(v8, v11, v13) = 0)) & (v15 = 0 | ( ~ (v16 = 0) & apply(v8, v11, v13) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v12, v14) = v15) | ~ (apply(v6, v11, v12) = 0) | ~ (member(v13, v7) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16) | (( ~ (v15 = 0) | (v16 = 0 & apply(v8, v11, v13) = 0)) & (v15 = 0 | ( ~ (v16 = 0) & apply(v8, v11, v13) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v10, v12, v14) = v15) | ~ (member(v13, v7) = 0) | ~ (member(v11, v7) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | (( ~ (v15 = 0) | (v16 = 0 & apply(v8, v11, v13) = 0)) & (v15 = 0 | ( ~ (v16 = 0) & apply(v8, v11, v13) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = v15) | ~ (apply(v6, v13, v14) = 0) | ~ (member(v12, v9) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v14, v9) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16) | (( ~ (v15 = 0) | (v16 = 0 & apply(v10, v12, v14) = 0)) & (v15 = 0 | ( ~ (v16 = 0) & apply(v10, v12, v14) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = v15) | ~ (apply(v6, v11, v12) = 0) | ~ (member(v14, v9) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v12, v9) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16) | (( ~ (v15 = 0) | (v16 = 0 & apply(v10, v12, v14) = 0)) & (v15 = 0 | ( ~ (v16 = 0) & apply(v10, v12, v14) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = v15) | ~ (member(v14, v9) = 0) | ~ (member(v12, v9) = 0) | ? [v16] : (( ~ (v16 = 0) & apply(v6, v13, v14) = v16) | ( ~ (v16 = 0) & apply(v6, v11, v12) = v16) | ( ~ (v16 = 0) & member(v13, v7) = v16) | ( ~ (v16 = 0) & member(v11, v7) = v16) | (( ~ (v15 = 0) | (v16 = 0 & apply(v10, v12, v14) = 0)) & (v15 = 0 | ( ~ (v16 = 0) & apply(v10, v12, v14) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v13, v14) = 0) | ~ (apply(v6, v11, v12) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | ( ~ (v15 = 0) & member(v12, v9) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15) | (((v16 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15)) & ((v15 = 0 & apply(v8, v11, v13) = 0) | ( ~ (v16 = 0) & apply(v10, v12, v14) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v13, v14) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v7) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & apply(v6, v11, v12) = v15) | ( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | (((v16 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15)) & ((v15 = 0 & apply(v8, v11, v13) = 0) | ( ~ (v16 = 0) & apply(v10, v12, v14) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v11, v12) = 0) | ~ (member(v14, v9) = 0) | ~ (member(v13, v7) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & member(v12, v9) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15) | (((v16 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15)) & ((v15 = 0 & apply(v8, v11, v13) = 0) | ( ~ (v16 = 0) & apply(v10, v12, v14) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | ~ (member(v14, v9) = 0) | ~ (member(v13, v7) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v7) = 0) | ? [v15] : ? [v16] : (( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & apply(v6, v11, v12) = v15) | (((v16 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15)) & ((v15 = 0 & apply(v8, v11, v13) = 0) | ( ~ (v16 = 0) & apply(v10, v12, v14) = v16))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (apply(v6, v13, v14) = 0) | ~ (member(v12, v9) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v14, v12) = 0) | ( ~ (v15 = 0) & apply(v6, v11, v12) = v15) | ( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (apply(v6, v11, v12) = 0) | ~ (member(v14, v9) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v14, v12) = 0) | ( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | ( ~ (v15 = 0) & member(v12, v9) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (member(v14, v9) = 0) | ~ (member(v12, v9) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v14, v12) = 0) | ( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & apply(v6, v11, v12) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v13, v14) = 0) | ~ (apply(v6, v11, v12) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v14, v12) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15) | ( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | ( ~ (v15 = 0) & member(v12, v9) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v13, v14) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v7) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v14, v12) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15) | ( ~ (v15 = 0) & apply(v6, v11, v12) = v15) | ( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v11, v12) = 0) | ~ (member(v14, v9) = 0) | ~ (member(v13, v7) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v14, v12) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15) | ( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & member(v12, v9) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (decreasing(v6, v7, v8, v9, v10) = 0) | ~ (member(v14, v9) = 0) | ~ (member(v13, v7) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v7) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v14, v12) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15) | ( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & apply(v6, v11, v12) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (apply(v6, v13, v14) = 0) | ~ (member(v12, v9) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v6, v11, v12) = v15) | ( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (apply(v6, v11, v12) = 0) | ~ (member(v14, v9) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | ( ~ (v15 = 0) & member(v12, v9) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v8, v11, v13) = 0) | ~ (member(v14, v9) = 0) | ~ (member(v12, v9) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & apply(v6, v11, v12) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v13, v14) = 0) | ~ (apply(v6, v11, v12) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15) | ( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15) | ( ~ (v15 = 0) & member(v12, v9) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v13, v14) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v7) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15) | ( ~ (v15 = 0) & apply(v6, v11, v12) = v15) | ( ~ (v15 = 0) & member(v14, v9) = v15) | ( ~ (v15 = 0) & member(v13, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (apply(v6, v11, v12) = 0) | ~ (member(v14, v9) = 0) | ~ (member(v13, v7) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15) | ( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & member(v12, v9) = v15) | ( ~ (v15 = 0) & member(v11, v7) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ( ~ (increasing(v6, v7, v8, v9, v10) = 0) | ~ (member(v14, v9) = 0) | ~ (member(v13, v7) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v7) = 0) | ? [v15] : ((v15 = 0 & apply(v10, v12, v14) = 0) | ( ~ (v15 = 0) & apply(v8, v11, v13) = v15) | ( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ~ (v15 = 0) & apply(v6, v11, v12) = v15))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v7 = v6 | ~ (compose_predicate(v13, v12, v11, v10, v9, v8) = v7) | ~ (compose_predicate(v13, v12, v11, v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (compose_function(v6, v7, v8, v9, v10) = v13) | ~ (apply(v13, v11, v12) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = 0 & v16 = 0 & v15 = 0 & apply(v7, v11, v14) = 0 & apply(v6, v14, v12) = 0 & member(v14, v9) = 0) | ( ~ (v14 = 0) & member(v12, v10) = v14) | ( ~ (v14 = 0) & member(v11, v8) = v14))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (compose_predicate(v6, v7, v8, v9, v10, v11) = 0) | ~ (apply(v6, v12, v13) = 0) | ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = 0 & v16 = 0 & v15 = 0 & apply(v8, v12, v14) = 0 & apply(v7, v14, v13) = 0 & member(v14, v10) = 0) | ( ~ (v14 = 0) & member(v13, v11) = v14) | ( ~ (v14 = 0) & member(v12, v9) = v14))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (equal_maps(v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (apply(v6, v10, v11) = 0) | ? [v13] : (( ~ (v13 = 0) & member(v12, v9) = v13) | ( ~ (v13 = 0) & member(v11, v9) = v13) | ( ~ (v13 = 0) & member(v10, v8) = v13))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (equal_maps(v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v12) = 0) | ~ (member(v11, v9) = 0) | ? [v13] : (( ~ (v13 = 0) & apply(v6, v10, v11) = v13) | ( ~ (v13 = 0) & member(v12, v9) = v13) | ( ~ (v13 = 0) & member(v10, v8) = v13))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (equal_maps(v6, v7, v8, v9) = 0) | ~ (apply(v6, v10, v11) = 0) | ~ (member(v12, v9) = 0) | ? [v13] : (( ~ (v13 = 0) & apply(v7, v10, v12) = v13) | ( ~ (v13 = 0) & member(v11, v9) = v13) | ( ~ (v13 = 0) & member(v10, v8) = v13))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v11 | ~ (equal_maps(v6, v7, v8, v9) = 0) | ~ (member(v12, v9) = 0) | ~ (member(v11, v9) = 0) | ~ (member(v10, v8) = 0) | ? [v13] : (( ~ (v13 = 0) & apply(v7, v10, v12) = v13) | ( ~ (v13 = 0) & apply(v6, v10, v11) = v13))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (compose_predicate(v6, v7, v8, v9, v10, v11) = v12) | ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (member(v14, v11) = 0 & member(v13, v9) = 0 & ((v19 = 0 & v18 = 0 & v17 = 0 & apply(v8, v13, v16) = 0 & apply(v7, v16, v14) = 0 & member(v16, v10) = 0) | (v15 = 0 & apply(v6, v13, v14) = 0)) & (( ~ (v15 = 0) & apply(v6, v13, v14) = v15) | ( ! [v20] : ( ~ (apply(v8, v13, v20) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v7, v20, v14) = v21) | ( ~ (v21 = 0) & member(v20, v10) = v21))) & ! [v20] : ( ~ (apply(v7, v20, v14) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v8, v13, v20) = v21) | ( ~ (v21 = 0) & member(v20, v10) = v21))) & ! [v20] : ( ~ (member(v20, v10) = 0) | ? [v21] : (( ~ (v21 = 0) & apply(v8, v13, v20) = v21) | ( ~ (v21 = 0) & apply(v7, v20, v14) = v21))))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (inverse_image3(v6, v7, v8) = v10) | ~ (apply(v6, v9, v12) = 0) | ~ (member(v9, v10) = v11) | ? [v13] : (( ~ (v13 = 0) & member(v12, v7) = v13) | ( ~ (v13 = 0) & member(v9, v8) = v13))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (inverse_image3(v6, v7, v8) = v10) | ~ (member(v12, v7) = 0) | ~ (member(v9, v10) = v11) | ? [v13] : (( ~ (v13 = 0) & apply(v6, v9, v12) = v13) | ( ~ (v13 = 0) & member(v9, v8) = v13))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (image3(v6, v7, v8) = v10) | ~ (apply(v6, v12, v9) = 0) | ~ (member(v9, v10) = v11) | ? [v13] : (( ~ (v13 = 0) & member(v12, v7) = v13) | ( ~ (v13 = 0) & member(v9, v8) = v13))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (image3(v6, v7, v8) = v10) | ~ (member(v12, v7) = 0) | ~ (member(v9, v10) = v11) | ? [v13] : (( ~ (v13 = 0) & apply(v6, v12, v9) = v13) | ( ~ (v13 = 0) & member(v9, v8) = v13))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v7 = v6 | ~ (isomorphism(v12, v11, v10, v9, v8) = v7) | ~ (isomorphism(v12, v11, v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v7 = v6 | ~ (decreasing(v12, v11, v10, v9, v8) = v7) | ~ (decreasing(v12, v11, v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v7 = v6 | ~ (increasing(v12, v11, v10, v9, v8) = v7) | ~ (increasing(v12, v11, v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v7 = v6 | ~ (compose_function(v12, v11, v10, v9, v8) = v7) | ~ (compose_function(v12, v11, v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (inverse_function(v6, v7, v8) = v11) | ~ (apply(v11, v10, v9) = v12) | ? [v13] : (( ~ (v13 = 0) & member(v10, v8) = v13) | ( ~ (v13 = 0) & member(v9, v7) = v13) | (( ~ (v12 = 0) | (v13 = 0 & apply(v6, v9, v10) = 0)) & (v12 = 0 | ( ~ (v13 = 0) & apply(v6, v9, v10) = v13))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (inverse_predicate(v6, v7, v8, v9) = 0) | ~ (apply(v7, v10, v11) = v12) | ? [v13] : (( ~ (v13 = 0) & member(v11, v9) = v13) | ( ~ (v13 = 0) & member(v10, v8) = v13) | (( ~ (v12 = 0) | (v13 = 0 & apply(v6, v11, v10) = 0)) & (v12 = 0 | ( ~ (v13 = 0) & apply(v6, v11, v10) = v13))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (inverse_predicate(v6, v7, v8, v9) = 0) | ~ (apply(v6, v11, v10) = v12) | ? [v13] : (( ~ (v13 = 0) & member(v11, v9) = v13) | ( ~ (v13 = 0) & member(v10, v8) = v13) | (( ~ (v12 = 0) | (v13 = 0 & apply(v7, v10, v11) = 0)) & (v12 = 0 | ( ~ (v13 = 0) & apply(v7, v10, v11) = v13))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (maps(v6, v7, v8) = 0) | ~ (apply(v6, v9, v11) = 0) | ~ (apply(v6, v9, v10) = 0) | ? [v12] : (( ~ (v12 = 0) & member(v11, v8) = v12) | ( ~ (v12 = 0) & member(v10, v8) = v12) | ( ~ (v12 = 0) & member(v9, v7) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (maps(v6, v7, v8) = 0) | ~ (apply(v6, v9, v11) = 0) | ~ (member(v10, v8) = 0) | ? [v12] : (( ~ (v12 = 0) & apply(v6, v9, v10) = v12) | ( ~ (v12 = 0) & member(v11, v8) = v12) | ( ~ (v12 = 0) & member(v9, v7) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (maps(v6, v7, v8) = 0) | ~ (apply(v6, 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))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v10 | ~ (maps(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(v6, v9, v10) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (isomorphism(v6, v7, v8, v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ((v21 = 0 & v20 = 0 & v19 = 0 & v18 = 0 & v17 = 0 & v16 = 0 & apply(v6, v14, v15) = 0 & apply(v6, v12, v13) = 0 & member(v15, v9) = 0 & member(v14, v7) = 0 & member(v13, v9) = 0 & member(v12, v7) = 0 & ((v23 = 0 & apply(v10, v13, v15) = 0) | (v22 = 0 & apply(v8, v12, v14) = 0)) & (( ~ (v23 = 0) & apply(v10, v13, v15) = v23) | ( ~ (v22 = 0) & apply(v8, v12, v14) = v22))) | ( ~ (v12 = 0) & one_to_one(v6, v7, v9) = v12) | ( ~ (v12 = 0) & maps(v6, v7, v9) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (decreasing(v6, v7, v8, v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = 0) & apply(v10, v15, v13) = v16 & apply(v8, v12, v14) = 0 & apply(v6, v14, v15) = 0 & apply(v6, v12, v13) = 0 & member(v15, v9) = 0 & member(v14, v7) = 0 & member(v13, v9) = 0 & member(v12, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (increasing(v6, v7, v8, v9, v10) = v11) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ( ~ (v16 = 0) & apply(v10, v13, v15) = v16 & apply(v8, v12, v14) = 0 & apply(v6, v14, v15) = 0 & apply(v6, v12, v13) = 0 & member(v15, v9) = 0 & member(v14, v7) = 0 & member(v13, v9) = 0 & member(v12, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (injective(v6, v7, v8) = 0) | ~ (apply(v6, v10, v11) = 0) | ~ (apply(v6, v9, v11) = 0) | ? [v12] : (( ~ (v12 = 0) & member(v11, v8) = v12) | ( ~ (v12 = 0) & member(v10, v7) = v12) | ( ~ (v12 = 0) & member(v9, v7) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (injective(v6, v7, v8) = 0) | ~ (apply(v6, v10, v11) = 0) | ~ (member(v9, v7) = 0) | ? [v12] : (( ~ (v12 = 0) & apply(v6, v9, v11) = v12) | ( ~ (v12 = 0) & member(v11, v8) = v12) | ( ~ (v12 = 0) & member(v10, v7) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (injective(v6, v7, v8) = 0) | ~ (apply(v6, v9, v11) = 0) | ~ (member(v10, v7) = 0) | ? [v12] : (( ~ (v12 = 0) & apply(v6, v10, v11) = v12) | ( ~ (v12 = 0) & member(v11, v8) = v12) | ( ~ (v12 = 0) & member(v9, v7) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = v9 | ~ (injective(v6, v7, v8) = 0) | ~ (member(v11, v8) = 0) | ~ (member(v10, v7) = 0) | ~ (member(v9, v7) = 0) | ? [v12] : (( ~ (v12 = 0) & apply(v6, v10, v11) = v12) | ( ~ (v12 = 0) & apply(v6, v9, v11) = v12))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (inverse_image2(v6, v7) = v9) | ~ (apply(v6, v8, v11) = 0) | ~ (member(v8, v9) = v10) | ? [v12] : ( ~ (v12 = 0) & member(v11, v7) = v12)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (inverse_image2(v6, v7) = v9) | ~ (member(v11, v7) = 0) | ~ (member(v8, v9) = v10) | ? [v12] : ( ~ (v12 = 0) & apply(v6, v8, v11) = v12)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (image2(v6, v7) = v9) | ~ (apply(v6, v11, v8) = 0) | ~ (member(v8, v9) = v10) | ? [v12] : ( ~ (v12 = 0) & member(v11, v7) = v12)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v10 = 0 | ~ (image2(v6, v7) = v9) | ~ (member(v11, v7) = 0) | ~ (member(v8, v9) = v10) | ? [v12] : ( ~ (v12 = 0) & apply(v6, v11, v8) = v12)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v7 = v6 | ~ (inverse_predicate(v11, v10, v9, v8) = v7) | ~ (inverse_predicate(v11, v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v7 = v6 | ~ (equal_maps(v11, v10, v9, v8) = v7) | ~ (equal_maps(v11, v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (inverse_predicate(v6, v7, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (member(v12, v9) = 0 & member(v11, v8) = 0 & ((v14 = 0 & apply(v6, v12, v11) = 0) | (v13 = 0 & apply(v7, v11, v12) = 0)) & (( ~ (v14 = 0) & apply(v6, v12, v11) = v14) | ( ~ (v13 = 0) & apply(v7, v11, v12) = v13)))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (equal_maps(v6, v7, v8, v9) = v10) | ? [v11] : ? [v12] : ? [v13] : ( ~ (v13 = v12) & apply(v7, v11, v13) = 0 & apply(v6, v11, v12) = 0 & member(v13, v9) = 0 & member(v12, v9) = 0 & member(v11, v8) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (product(v7) = v8) | ~ (member(v6, v9) = v10) | ~ (member(v6, v8) = 0) | ? [v11] : ( ~ (v11 = 0) & member(v9, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (difference(v8, v7) = v9) | ~ (member(v6, v9) = v10) | ? [v11] : ((v11 = 0 & member(v6, v7) = 0) | ( ~ (v11 = 0) & member(v6, v8) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (union(v7, v8) = v9) | ~ (member(v6, v9) = v10) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & ~ (v11 = 0) & member(v6, v8) = v12 & member(v6, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (intersection(v7, v8) = v9) | ~ (member(v6, v9) = v10) | ? [v11] : (( ~ (v11 = 0) & member(v6, v8) = v11) | ( ~ (v11 = 0) & member(v6, v7) = v11))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = 0 | ~ (sum(v7) = v8) | ~ (member(v10, v7) = 0) | ~ (member(v6, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & member(v6, v10) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v9 = 0 | ~ (sum(v7) = v8) | ~ (member(v6, v10) = 0) | ~ (member(v6, v8) = v9) | ? [v11] : ( ~ (v11 = 0) & member(v10, v7) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (inverse_image3(v10, v9, v8) = v7) | ~ (inverse_image3(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (image3(v10, v9, v8) = v7) | ~ (image3(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (inverse_function(v10, v9, v8) = v7) | ~ (inverse_function(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (one_to_one(v10, v9, v8) = v7) | ~ (one_to_one(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (surjective(v10, v9, v8) = v7) | ~ (surjective(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (injective(v10, v9, v8) = v7) | ~ (injective(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (maps(v10, v9, v8) = v7) | ~ (maps(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v7 = v6 | ~ (apply(v10, v9, v8) = v7) | ~ (apply(v10, v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (isomorphism(v6, v7, v8, v9, v10) = 0) | (one_to_one(v6, v7, v9) = 0 & maps(v6, v7, v9) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (inverse_image3(v6, v7, v8) = v10) | ~ (member(v9, v10) = 0) | member(v9, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (inverse_image3(v6, v7, v8) = v10) | ~ (member(v9, v10) = 0) | ? [v11] : (apply(v6, v9, v11) = 0 & member(v11, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (image3(v6, v7, v8) = v10) | ~ (member(v9, v10) = 0) | member(v9, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (image3(v6, v7, v8) = v10) | ~ (member(v9, v10) = 0) | ? [v11] : (apply(v6, v11, v9) = 0 & member(v11, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (one_to_one(v6, v7, v8) = v9) | ? [v10] : (( ~ (v10 = 0) & surjective(v6, v7, v8) = v10) | ( ~ (v10 = 0) & injective(v6, v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (surjective(v6, v7, v8) = v9) | ? [v10] : (member(v10, v8) = 0 & ! [v11] : ( ~ (apply(v6, v11, v10) = 0) | ? [v12] : ( ~ (v12 = 0) & member(v11, v7) = v12)) & ! [v11] : ( ~ (member(v11, v7) = 0) | ? [v12] : ( ~ (v12 = 0) & apply(v6, v11, v10) = v12)))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (injective(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ( ~ (v11 = v10) & apply(v6, v11, v12) = 0 & apply(v6, v10, v12) = 0 & member(v12, v8) = 0 & member(v11, v7) = 0 & member(v10, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (identity(v6, v7) = 0) | ~ (apply(v6, v8, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & member(v8, v7) = v10)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (maps(v6, v7, v8) = v9) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ((v17 = 0 & v16 = 0 & v15 = 0 & v14 = 0 & v13 = 0 & ~ (v12 = v11) & apply(v6, v10, v12) = 0 & apply(v6, v10, v11) = 0 & member(v12, v8) = 0 & member(v11, v8) = 0 & member(v10, v7) = 0) | (v11 = 0 & member(v10, v7) = 0 & ! [v18] : ( ~ (apply(v6, v10, v18) = 0) | ? [v19] : ( ~ (v19 = 0) & member(v18, v8) = v19)) & ! [v18] : ( ~ (member(v18, v8) = 0) | ? [v19] : ( ~ (v19 = 0) & apply(v6, v10, v18) = v19))))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (product(v7) = v8) | ~ (member(v6, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & member(v10, v7) = 0 & member(v6, v10) = v11)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (unordered_pair(v7, v6) = v8) | ~ (member(v6, v8) = v9)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (unordered_pair(v6, v7) = v8) | ~ (member(v6, v8) = v9)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (power_set(v7) = v8) | ~ (member(v6, v8) = v9) | ? [v10] : ( ~ (v10 = 0) & subset(v6, v7) = v10)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (subset(v6, v7) = 0) | ~ (member(v8, v7) = v9) | ? [v10] : ( ~ (v10 = 0) & member(v8, v6) = v10)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v8 = v6 | v7 = v6 | ~ (unordered_pair(v7, v8) = v9) | ~ (member(v6, v9) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (inverse_image2(v9, v8) = v7) | ~ (inverse_image2(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (image2(v9, v8) = v7) | ~ (image2(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (identity(v9, v8) = v7) | ~ (identity(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (unordered_pair(v9, v8) = v7) | ~ (unordered_pair(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (difference(v9, v8) = v7) | ~ (difference(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (union(v9, v8) = v7) | ~ (union(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (intersection(v9, v8) = v7) | ~ (intersection(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (equal_set(v9, v8) = v7) | ~ (equal_set(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (subset(v9, v8) = v7) | ~ (subset(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (member(v9, v8) = v7) | ~ (member(v9, v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (inverse_image2(v6, v7) = v9) | ~ (member(v8, v9) = 0) | ? [v10] : (apply(v6, v8, v10) = 0 & member(v10, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (image2(v6, v7) = v9) | ~ (member(v8, v9) = 0) | ? [v10] : (apply(v6, v10, v8) = 0 & member(v10, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (surjective(v6, v7, v8) = v9) | ? [v10] : ((v10 = 0 & v9 = 0 & injective(v6, v7, v8) = 0) | ( ~ (v10 = 0) & one_to_one(v6, v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (surjective(v6, v7, v8) = 0) | ~ (member(v9, v8) = 0) | ? [v10] : (apply(v6, v10, v9) = 0 & member(v10, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (injective(v6, v7, v8) = v9) | ? [v10] : ((v10 = 0 & v9 = 0 & surjective(v6, v7, v8) = 0) | ( ~ (v10 = 0) & one_to_one(v6, v7, v8) = v10))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (maps(v6, v7, v8) = 0) | ~ (member(v9, v7) = 0) | ? [v10] : (apply(v6, v9, v10) = 0 & member(v10, v8) = 0)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (product(v7) = v8) | ~ (member(v9, v7) = 0) | ~ (member(v6, v8) = 0) | member(v6, v9) = 0) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (difference(v8, v7) = v9) | ~ (member(v6, v9) = 0) | ? [v10] : ( ~ (v10 = 0) & member(v6, v8) = 0 & member(v6, v7) = v10)) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (union(v7, v8) = v9) | ~ (member(v6, v9) = 0) | ? [v10] : ((v10 = 0 & member(v6, v8) = 0) | (v10 = 0 & member(v6, v7) = 0))) & ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (intersection(v7, v8) = v9) | ~ (member(v6, v9) = 0) | (member(v6, v8) = 0 & member(v6, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (identity(v6, v7) = v8) | ? [v9] : ? [v10] : ( ~ (v10 = 0) & apply(v6, v9, v9) = v10 & member(v9, v7) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (singleton(v6) = v7) | ~ (member(v6, v7) = v8)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (equal_set(v6, v7) = v8) | ? [v9] : (( ~ (v9 = 0) & subset(v7, v6) = v9) | ( ~ (v9 = 0) & subset(v6, v7) = v9))) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (subset(v6, v7) = v8) | ? [v9] : ? [v10] : ( ~ (v10 = 0) & power_set(v7) = v9 & member(v6, v9) = v10)) & ! [v6] : ! [v7] : ! [v8] : (v8 = 0 | ~ (subset(v6, v7) = v8) | ? [v9] : ? [v10] : ( ~ (v10 = 0) & member(v9, v7) = v10 & member(v9, v6) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (product(v8) = v7) | ~ (product(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (sum(v8) = v7) | ~ (sum(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (singleton(v8) = v7) | ~ (singleton(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (singleton(v7) = v8) | ~ (member(v6, v8) = 0)) & ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (power_set(v8) = v7) | ~ (power_set(v8) = v6)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (one_to_one(v6, v7, v8) = 0) | (surjective(v6, v7, v8) = 0 & injective(v6, v7, v8) = 0)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (surjective(v6, v7, v8) = 0) | ? [v9] : ((v9 = 0 & one_to_one(v6, v7, v8) = 0) | ( ~ (v9 = 0) & injective(v6, v7, v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (injective(v6, v7, v8) = 0) | ? [v9] : ((v9 = 0 & one_to_one(v6, v7, v8) = 0) | ( ~ (v9 = 0) & surjective(v6, v7, v8) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (identity(v6, v7) = 0) | ~ (member(v8, v7) = 0) | apply(v6, v8, v8) = 0) & ! [v6] : ! [v7] : ! [v8] : ( ~ (apply(v1, v6, v7) = v8) | ? [v9] : (( ~ (v9 = 0) & member(v7, v4) = v9) | ( ~ (v9 = 0) & member(v6, v2) = v9) | (( ~ (v8 = 0) | (v9 = 0 & apply(v0, v6, v7) = 0)) & (v8 = 0 | ( ~ (v9 = 0) & apply(v0, v6, v7) = v9))))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (apply(v0, v6, v7) = v8) | ? [v9] : (( ~ (v9 = 0) & member(v7, v4) = v9) | ( ~ (v9 = 0) & member(v6, v2) = v9) | (( ~ (v8 = 0) | (v9 = 0 & apply(v1, v6, v7) = 0)) & (v8 = 0 | ( ~ (v9 = 0) & apply(v1, v6, v7) = v9))))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (sum(v7) = v8) | ~ (member(v6, v8) = 0) | ? [v9] : (member(v9, v7) = 0 & member(v6, v9) = 0)) & ! [v6] : ! [v7] : ! [v8] : ( ~ (power_set(v7) = v8) | ~ (member(v6, v8) = 0) | subset(v6, v7) = 0) & ! [v6] : ! [v7] : ! [v8] : ( ~ (subset(v7, v6) = v8) | ? [v9] : ((v9 = 0 & v8 = 0 & subset(v6, v7) = 0) | ( ~ (v9 = 0) & equal_set(v6, v7) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (subset(v6, v7) = v8) | ? [v9] : ((v9 = 0 & v8 = 0 & subset(v7, v6) = 0) | ( ~ (v9 = 0) & equal_set(v6, v7) = v9))) & ! [v6] : ! [v7] : ! [v8] : ( ~ (subset(v6, v7) = 0) | ~ (member(v8, v6) = 0) | member(v8, v7) = 0) & ! [v6] : ! [v7] : ( ~ (equal_set(v6, v7) = 0) | (subset(v7, v6) = 0 & subset(v6, v7) = 0)) & ! [v6] : ! [v7] : ( ~ (subset(v7, v6) = 0) | ? [v8] : ((v8 = 0 & equal_set(v6, v7) = 0) | ( ~ (v8 = 0) & subset(v6, v7) = v8))) & ! [v6] : ! [v7] : ( ~ (subset(v6, v7) = 0) | ? [v8] : (power_set(v7) = v8 & member(v6, v8) = 0)) & ! [v6] : ! [v7] : ( ~ (subset(v6, v7) = 0) | ? [v8] : ((v8 = 0 & equal_set(v6, v7) = 0) | ( ~ (v8 = 0) & subset(v7, v6) = v8))) & ! [v6] : ~ (member(v6, empty_set) = 0) & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : compose_predicate(v11, v10, v9, v8, v7, v6) = v12 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : isomorphism(v10, v9, v8, v7, v6) = v11 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : decreasing(v10, v9, v8, v7, v6) = v11 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : increasing(v10, v9, v8, v7, v6) = v11 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : compose_function(v10, v9, v8, v7, v6) = v11 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : inverse_predicate(v9, v8, v7, v6) = v10 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : equal_maps(v9, v8, v7, v6) = v10 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : inverse_image3(v8, v7, v6) = v9 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : image3(v8, v7, v6) = v9 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : inverse_function(v8, v7, v6) = v9 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : one_to_one(v8, v7, v6) = v9 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : surjective(v8, v7, v6) = v9 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : injective(v8, v7, v6) = v9 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : maps(v8, v7, v6) = v9 & ? [v6] : ? [v7] : ? [v8] : ? [v9] : apply(v8, v7, v6) = v9 & ? [v6] : ? [v7] : ? [v8] : inverse_image2(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : image2(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : identity(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : unordered_pair(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : difference(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : union(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : intersection(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : equal_set(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : subset(v7, v6) = v8 & ? [v6] : ? [v7] : ? [v8] : member(v7, v6) = v8 & ? [v6] : ? [v7] : product(v6) = v7 & ? [v6] : ? [v7] : sum(v6) = v7 & ? [v6] : ? [v7] : singleton(v6) = v7 & ? [v6] : ? [v7] : power_set(v6) = v7) % 20.37/5.34 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 yields: % 20.37/5.34 | (1) ~ (all_0_0_0 = 0) & image2(all_0_5_5, all_0_3_3) = all_0_1_1 & one_to_one(all_0_4_4, all_0_3_3, all_0_1_1) = all_0_0_0 & injective(all_0_5_5, all_0_3_3, all_0_2_2) = 0 & maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0 & subset(all_0_1_1, 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] : ( ~ (apply(all_0_4_4, v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & member(v1, all_0_1_1) = v3) | ( ~ (v3 = 0) & member(v0, all_0_3_3) = v3) | (( ~ (v2 = 0) | (v3 = 0 & apply(all_0_5_5, v0, v1) = 0)) & (v2 = 0 | ( ~ (v3 = 0) & apply(all_0_5_5, v0, v1) = v3))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (apply(all_0_5_5, v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & member(v1, all_0_1_1) = v3) | ( ~ (v3 = 0) & member(v0, all_0_3_3) = v3) | (( ~ (v2 = 0) | (v3 = 0 & apply(all_0_4_4, v0, v1) = 0)) & (v2 = 0 | ( ~ (v3 = 0) & apply(all_0_4_4, v0, v1) = v3))))) & ! [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 % 20.56/5.40 | % 20.56/5.40 | Applying alpha-rule on (1) yields: % 20.56/5.40 | (2) ! [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))) % 20.56/5.40 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (power_set(v1) = v2) | ~ (member(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) % 20.56/5.40 | (4) ! [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))) % 20.56/5.40 | (5) ! [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)))) % 20.56/5.40 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (inverse_image2(v3, v2) = v1) | ~ (inverse_image2(v3, v2) = v0)) % 20.56/5.40 | (7) ! [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))) % 20.56/5.40 | (8) ! [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))) % 20.56/5.40 | (9) ! [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)) % 20.56/5.40 | (10) ! [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))) % 20.56/5.40 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (injective(v4, v3, v2) = v1) | ~ (injective(v4, v3, v2) = v0)) % 20.56/5.40 | (12) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : isomorphism(v4, v3, v2, v1, v0) = v5 % 20.56/5.40 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v0, v1) = v2) | ~ (member(v0, v2) = v3)) % 20.56/5.40 | (14) ? [v0] : ? [v1] : ? [v2] : ? [v3] : injective(v2, v1, v0) = v3 % 20.56/5.40 | (15) ! [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))) % 20.56/5.40 | (16) ! [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))) % 20.56/5.40 | (17) ! [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))) % 20.56/5.40 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (identity(v0, v1) = 0) | ~ (member(v2, v1) = 0) | apply(v0, v2, v2) = 0) % 20.56/5.40 | (19) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v1, v0) = v2))) % 20.56/5.40 | (20) ! [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)) % 20.56/5.40 | (21) ! [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))))) % 20.56/5.41 | (22) ! [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)) % 20.56/5.41 | (23) ! [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))))))) % 20.56/5.41 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (intersection(v3, v2) = v1) | ~ (intersection(v3, v2) = v0)) % 20.56/5.41 | (25) ~ (all_0_0_0 = 0) % 20.56/5.41 | (26) ! [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))) % 20.56/5.41 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | ? [v5] : (apply(v0, v5, v3) = 0 & member(v5, v1) = 0)) % 20.56/5.41 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (member(v2, v0) = 0) | member(v2, v1) = 0) % 20.56/5.41 | (29) ! [v0] : ~ (member(v0, empty_set) = 0) % 20.56/5.41 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (isomorphism(v0, v1, v2, v3, v4) = 0) | (one_to_one(v0, v1, v3) = 0 & maps(v0, v1, v3) = 0)) % 20.56/5.41 | (31) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : increasing(v4, v3, v2, v1, v0) = v5 % 20.56/5.41 | (32) ! [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))) % 20.56/5.41 | (33) subset(all_0_1_1, all_0_2_2) = 0 % 20.56/5.41 | (34) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & power_set(v1) = v3 & member(v0, v3) = v4)) % 20.56/5.41 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) % 20.56/5.41 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (intersection(v1, v2) = v3) | ~ (member(v0, v3) = 0) | (member(v0, v2) = 0 & member(v0, v1) = 0)) % 20.56/5.41 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v1) = v2) | ~ (member(v0, v2) = 0)) % 20.56/5.41 | (38) ! [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))) % 20.56/5.41 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (unordered_pair(v1, v0) = v2) | ~ (member(v0, v2) = v3)) % 20.56/5.41 | (40) ! [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))) % 20.56/5.41 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (power_set(v2) = v1) | ~ (power_set(v2) = v0)) % 20.56/5.41 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (product(v1) = v2) | ~ (member(v3, v1) = 0) | ~ (member(v0, v2) = 0) | member(v0, v3) = 0) % 20.56/5.41 | (43) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : inverse_predicate(v3, v2, v1, v0) = v4 % 20.56/5.41 | (44) ! [v0] : ! [v1] : ( ~ (equal_set(v0, v1) = 0) | (subset(v1, v0) = 0 & subset(v0, v1) = 0)) % 20.56/5.41 | (45) ! [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))) % 20.56/5.41 | (46) ! [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))) % 20.56/5.41 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (sum(v1) = v2) | ~ (member(v0, v2) = 0) | ? [v3] : (member(v3, v1) = 0 & member(v0, v3) = 0)) % 20.56/5.41 | (48) ! [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))))) % 20.56/5.41 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (maps(v4, v3, v2) = v1) | ~ (maps(v4, v3, v2) = v0)) % 20.56/5.41 | (50) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v1, v0) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) % 20.56/5.41 | (51) ? [v0] : ? [v1] : ? [v2] : ? [v3] : one_to_one(v2, v1, v0) = v3 % 20.56/5.41 | (52) ! [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)) % 20.56/5.42 | (53) ? [v0] : ? [v1] : ? [v2] : union(v1, v0) = v2 % 20.56/5.42 | (54) ! [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))) % 20.56/5.42 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v4, v2) = 0 & member(v4, v1) = 0)) % 20.56/5.42 | (56) ? [v0] : ? [v1] : ? [v2] : ? [v3] : surjective(v2, v1, v0) = v3 % 20.56/5.42 | (57) ? [v0] : ? [v1] : sum(v0) = v1 % 20.56/5.42 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (product(v2) = v1) | ~ (product(v2) = v0)) % 20.56/5.42 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) % 20.56/5.42 | (60) ! [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)) % 20.56/5.42 | (61) ? [v0] : ? [v1] : ? [v2] : identity(v1, v0) = v2 % 20.56/5.42 | (62) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | ? [v2] : (power_set(v1) = v2 & member(v0, v2) = 0)) % 20.56/5.42 | (63) ! [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))))) % 20.56/5.42 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_function(v4, v3, v2) = v1) | ~ (inverse_function(v4, v3, v2) = v0)) % 20.56/5.42 | (65) ! [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))) % 20.56/5.42 | (66) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (singleton(v0) = v1) | ~ (member(v0, v1) = v2)) % 20.56/5.42 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (equal_maps(v5, v4, v3, v2) = v1) | ~ (equal_maps(v5, v4, v3, v2) = v0)) % 20.56/5.42 | (68) ? [v0] : ? [v1] : power_set(v0) = v1 % 20.56/5.42 | (69) ! [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))) % 20.56/5.42 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (image3(v4, v3, v2) = v1) | ~ (image3(v4, v3, v2) = v0)) % 20.56/5.42 | (71) ? [v0] : ? [v1] : ? [v2] : member(v1, v0) = v2 % 20.56/5.42 | (72) ! [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))) % 20.56/5.42 | (73) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : compose_function(v4, v3, v2, v1, v0) = v5 % 20.56/5.42 | (74) ! [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))) % 20.56/5.42 | (75) ! [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))) % 20.56/5.42 | (76) ? [v0] : ? [v1] : ? [v2] : equal_set(v1, v0) = v2 % 20.56/5.42 | (77) ! [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))))) % 20.56/5.42 | (78) maps(all_0_5_5, all_0_3_3, all_0_2_2) = 0 % 20.56/5.42 | (79) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : compose_predicate(v5, v4, v3, v2, v1, v0) = v6 % 20.56/5.42 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (identity(v0, v1) = 0) | ~ (apply(v0, v2, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v1) = v4)) % 20.56/5.42 | (81) ! [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))) % 20.56/5.42 | (82) ! [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))) % 20.56/5.42 | (83) ! [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))) % 20.56/5.42 | (84) ! [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)) % 20.56/5.42 | (85) ! [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))) % 20.56/5.43 | (86) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v1, v0) = v2) | ? [v3] : ((v3 = 0 & v2 = 0 & subset(v0, v1) = 0) | ( ~ (v3 = 0) & equal_set(v0, v1) = v3))) % 20.56/5.43 | (87) ? [v0] : ? [v1] : ? [v2] : unordered_pair(v1, v0) = v2 % 20.56/5.43 | (88) ! [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))) % 20.56/5.43 | (89) ? [v0] : ? [v1] : ? [v2] : ? [v3] : image3(v2, v1, v0) = v3 % 20.56/5.43 | (90) ! [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))))) % 20.56/5.43 | (91) ! [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))) % 20.56/5.43 | (92) ! [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))) % 20.56/5.43 | (93) ? [v0] : ? [v1] : ? [v2] : inverse_image2(v1, v0) = v2 % 20.56/5.43 | (94) ! [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))) % 20.56/5.43 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (equal_set(v3, v2) = v1) | ~ (equal_set(v3, v2) = v0)) % 20.56/5.43 | (96) ! [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)) % 20.56/5.43 | (97) injective(all_0_5_5, all_0_3_3, all_0_2_2) = 0 % 20.56/5.43 | (98) ! [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))) % 20.56/5.43 | (99) ! [v0] : ! [v1] : ! [v2] : ( ~ (one_to_one(v0, v1, v2) = 0) | (surjective(v0, v1, v2) = 0 & injective(v0, v1, v2) = 0)) % 20.56/5.43 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (apply(v4, v3, v2) = v1) | ~ (apply(v4, v3, v2) = v0)) % 20.56/5.43 | (101) ! [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))) % 20.56/5.43 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) % 20.56/5.43 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (inverse_predicate(v5, v4, v3, v2) = v1) | ~ (inverse_predicate(v5, v4, v3, v2) = v0)) % 20.56/5.43 | (104) ! [v0] : ! [v1] : ( ~ (subset(v1, v0) = 0) | ? [v2] : ((v2 = 0 & equal_set(v0, v1) = 0) | ( ~ (v2 = 0) & subset(v0, v1) = v2))) % 20.56/5.43 | (105) ! [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))))) % 20.56/5.43 | (106) ! [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))) % 20.56/5.43 | (107) ! [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)) % 20.56/5.43 | (108) ! [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))) % 20.56/5.43 | (109) ! [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))))) % 20.56/5.43 | (110) ? [v0] : ? [v1] : ? [v2] : intersection(v1, v0) = v2 % 20.56/5.43 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (member(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & member(v2, v0) = v4)) % 20.56/5.43 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (sum(v2) = v1) | ~ (sum(v2) = v0)) % 20.56/5.44 | (113) ! [v0] : ! [v1] : ! [v2] : ( ~ (apply(all_0_4_4, v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & member(v1, all_0_1_1) = v3) | ( ~ (v3 = 0) & member(v0, all_0_3_3) = v3) | (( ~ (v2 = 0) | (v3 = 0 & apply(all_0_5_5, v0, v1) = 0)) & (v2 = 0 | ( ~ (v3 = 0) & apply(all_0_5_5, v0, v1) = v3))))) % 20.56/5.44 | (114) ! [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)) % 20.56/5.44 | (115) ! [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)) % 20.56/5.44 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (decreasing(v0, v1, v2, v3, v4) = 0) | ~ (member(v8, v3) = 0) | ~ (member(v7, v1) = 0) | ~ (member(v6, v3) = 0) | ~ (member(v5, v1) = 0) | ? [v9] : ((v9 = 0 & apply(v4, v8, v6) = 0) | ( ~ (v9 = 0) & apply(v2, v5, v7) = v9) | ( ~ (v9 = 0) & apply(v0, v7, v8) = v9) | ( ~ (v9 = 0) & apply(v0, v5, v6) = v9))) % 20.56/5.44 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) % 20.56/5.44 | (118) ! [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))) % 20.56/5.44 | (119) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v0 | v1 = v0 | ~ (unordered_pair(v1, v2) = v3) | ~ (member(v0, v3) = 0)) % 20.56/5.44 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (surjective(v0, v1, v2) = 0) | ~ (member(v3, v2) = 0) | ? [v4] : (apply(v0, v4, v3) = 0 & member(v4, v1) = 0)) % 20.56/5.44 | (121) ! [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))) % 20.56/5.44 | (122) ! [v0] : ! [v1] : ! [v2] : ( ~ (apply(all_0_5_5, v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & member(v1, all_0_1_1) = v3) | ( ~ (v3 = 0) & member(v0, all_0_3_3) = v3) | (( ~ (v2 = 0) | (v3 = 0 & apply(all_0_4_4, v0, v1) = 0)) & (v2 = 0 | ( ~ (v3 = 0) & apply(all_0_4_4, v0, v1) = v3))))) % 20.56/5.44 | (123) ! [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)) % 20.56/5.44 | (124) ! [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))) % 20.56/5.44 | (125) ! [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))) % 20.56/5.44 | (126) ! [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))) % 20.95/5.44 | (127) ! [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))) % 20.95/5.44 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (surjective(v4, v3, v2) = v1) | ~ (surjective(v4, v3, v2) = v0)) % 20.95/5.44 | (129) ! [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))) % 20.95/5.44 | (130) ? [v0] : ? [v1] : ? [v2] : ? [v3] : maps(v2, v1, v0) = v3 % 20.95/5.44 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (isomorphism(v6, v5, v4, v3, v2) = v1) | ~ (isomorphism(v6, v5, v4, v3, v2) = v0)) % 20.95/5.44 | (132) ! [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))) % 20.95/5.44 | (133) ! [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))) % 20.95/5.44 | (134) ! [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))))) % 20.95/5.44 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (decreasing(v6, v5, v4, v3, v2) = v1) | ~ (decreasing(v6, v5, v4, v3, v2) = v0)) % 20.95/5.44 | (136) ? [v0] : ? [v1] : singleton(v0) = v1 % 20.95/5.44 | (137) ! [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))) % 20.95/5.44 | (138) ! [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))))) % 20.95/5.45 | (139) ? [v0] : ? [v1] : ? [v2] : image2(v1, v0) = v2 % 20.95/5.45 | (140) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (equal_set(v0, v1) = v2) | ? [v3] : (( ~ (v3 = 0) & subset(v1, v0) = v3) | ( ~ (v3 = 0) & subset(v0, v1) = v3))) % 20.95/5.45 | (141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (inverse_image2(v0, v1) = v3) | ~ (member(v2, v3) = 0) | ? [v4] : (apply(v0, v2, v4) = 0 & member(v4, v1) = 0)) % 20.95/5.45 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (one_to_one(v4, v3, v2) = v1) | ~ (one_to_one(v4, v3, v2) = v0)) % 20.95/5.45 | (143) ! [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))) % 20.95/5.45 | (144) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_function(v2, v1, v0) = v3 % 20.95/5.45 | (145) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : equal_maps(v3, v2, v1, v0) = v4 % 20.95/5.45 | (146) ! [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))) % 20.95/5.45 | (147) ? [v0] : ? [v1] : ? [v2] : ? [v3] : apply(v2, v1, v0) = v3 % 20.95/5.45 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (maps(v0, v1, v2) = 0) | ~ (member(v3, v1) = 0) | ? [v4] : (apply(v0, v3, v4) = 0 & member(v4, v2) = 0)) % 20.95/5.45 | (149) ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 % 20.95/5.45 | (150) ! [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)) % 20.95/5.45 | (151) ! [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)) % 20.95/5.45 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (inverse_image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) % 20.95/5.45 | (153) ! [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))) % 20.95/5.45 | (154) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (inverse_image3(v4, v3, v2) = v1) | ~ (inverse_image3(v4, v3, v2) = v0)) % 20.95/5.45 | (155) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : decreasing(v4, v3, v2, v1, v0) = v5 % 20.95/5.45 | (156) ! [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))) % 20.95/5.45 | (157) one_to_one(all_0_4_4, all_0_3_3, all_0_1_1) = all_0_0_0 % 20.95/5.45 | (158) ! [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))) % 20.95/5.45 | (159) ! [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))) % 20.95/5.45 | (160) ! [v0] : ! [v1] : ! [v2] : ( ~ (power_set(v1) = v2) | ~ (member(v0, v2) = 0) | subset(v0, v1) = 0) % 20.95/5.45 | (161) ! [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))))) % 20.95/5.45 | (162) ! [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))))) % 20.95/5.45 | (163) ? [v0] : ? [v1] : ? [v2] : ? [v3] : inverse_image3(v2, v1, v0) = v3 % 20.95/5.45 | (164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (identity(v3, v2) = v1) | ~ (identity(v3, v2) = v0)) % 20.95/5.45 | (165) ! [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)) % 20.95/5.45 | (166) ! [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))))) % 20.95/5.45 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) % 20.95/5.45 | (168) image2(all_0_5_5, all_0_3_3) = all_0_1_1 % 20.95/5.46 | (169) ! [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))) % 20.95/5.46 | (170) ! [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))))) % 20.95/5.46 | (171) ! [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))) % 20.95/5.46 | (172) ! [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))) % 20.95/5.46 | (173) ! [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))) % 20.95/5.46 | (174) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0)) % 20.95/5.46 | (175) ! [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))) % 20.95/5.46 | (176) ! [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))) % 20.95/5.46 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (image2(v3, v2) = v1) | ~ (image2(v3, v2) = v0)) % 20.95/5.46 | (178) ? [v0] : ? [v1] : ? [v2] : difference(v1, v0) = v2 % 20.95/5.46 | (179) ! [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)) % 20.95/5.46 | (180) ! [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)))) % 20.95/5.46 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (difference(v2, v1) = v3) | ~ (member(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & member(v0, v2) = 0 & member(v0, v1) = v4)) % 20.95/5.46 | (182) ! [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))) % 20.95/5.46 | (183) ! [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)) % 20.95/5.46 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (union(v3, v2) = v1) | ~ (union(v3, v2) = v0)) % 20.95/5.46 | (185) ? [v0] : ? [v1] : product(v0) = v1 % 20.95/5.46 | (186) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (identity(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & apply(v0, v3, v3) = v4 & member(v3, v1) = 0)) % 20.95/5.46 | (187) ! [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))))) % 20.95/5.46 | (188) ! [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))) % 20.95/5.46 | (189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (image3(v0, v1, v2) = v4) | ~ (member(v3, v4) = 0) | member(v3, v2) = 0) % 20.95/5.46 | (190) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = v0 | ~ (increasing(v6, v5, v4, v3, v2) = v1) | ~ (increasing(v6, v5, v4, v3, v2) = v0)) % 20.95/5.46 | % 20.95/5.46 | Instantiating formula (158) with all_0_0_0, all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms one_to_one(all_0_4_4, all_0_3_3, all_0_1_1) = all_0_0_0, yields: % 20.95/5.46 | (191) all_0_0_0 = 0 | ? [v0] : (( ~ (v0 = 0) & surjective(all_0_4_4, all_0_3_3, all_0_1_1) = v0) | ( ~ (v0 = 0) & injective(all_0_4_4, all_0_3_3, all_0_1_1) = v0)) % 20.95/5.46 | % 20.95/5.47 +-Applying beta-rule and splitting (191), into two cases. % 20.95/5.47 |-Branch one: % 20.95/5.47 | (192) all_0_0_0 = 0 % 20.95/5.47 | % 20.95/5.47 | Equations (192) can reduce 25 to: % 20.95/5.47 | (193) $false % 20.95/5.47 | % 20.95/5.47 |-The branch is then unsatisfiable % 20.95/5.47 |-Branch two: % 20.95/5.47 | (25) ~ (all_0_0_0 = 0) % 20.95/5.47 | (195) ? [v0] : (( ~ (v0 = 0) & surjective(all_0_4_4, all_0_3_3, all_0_1_1) = v0) | ( ~ (v0 = 0) & injective(all_0_4_4, all_0_3_3, all_0_1_1) = v0)) % 20.95/5.47 | % 20.95/5.47 | Instantiating (195) with all_78_0_124 yields: % 20.95/5.47 | (196) ( ~ (all_78_0_124 = 0) & surjective(all_0_4_4, all_0_3_3, all_0_1_1) = all_78_0_124) | ( ~ (all_78_0_124 = 0) & injective(all_0_4_4, all_0_3_3, all_0_1_1) = all_78_0_124) % 20.95/5.47 | % 20.95/5.47 +-Applying beta-rule and splitting (196), into two cases. % 20.95/5.47 |-Branch one: % 20.95/5.47 | (197) ~ (all_78_0_124 = 0) & surjective(all_0_4_4, all_0_3_3, all_0_1_1) = all_78_0_124 % 20.95/5.47 | % 20.95/5.47 | Applying alpha-rule on (197) yields: % 20.95/5.47 | (198) ~ (all_78_0_124 = 0) % 20.95/5.47 | (199) surjective(all_0_4_4, all_0_3_3, all_0_1_1) = all_78_0_124 % 20.95/5.47 | % 20.95/5.47 | Instantiating formula (5) with all_78_0_124, all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms surjective(all_0_4_4, all_0_3_3, all_0_1_1) = all_78_0_124, yields: % 20.95/5.47 | (200) all_78_0_124 = 0 | ? [v0] : (member(v0, all_0_1_1) = 0 & ! [v1] : ( ~ (apply(all_0_4_4, v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & member(v1, all_0_3_3) = v2)) & ! [v1] : ( ~ (member(v1, all_0_3_3) = 0) | ? [v2] : ( ~ (v2 = 0) & apply(all_0_4_4, v1, v0) = v2))) % 20.95/5.47 | % 20.95/5.47 +-Applying beta-rule and splitting (200), into two cases. % 20.95/5.47 |-Branch one: % 20.95/5.47 | (201) all_78_0_124 = 0 % 20.95/5.47 | % 20.95/5.47 | Equations (201) can reduce 198 to: % 20.95/5.47 | (193) $false % 20.95/5.47 | % 20.95/5.47 |-The branch is then unsatisfiable % 20.95/5.47 |-Branch two: % 20.95/5.47 | (198) ~ (all_78_0_124 = 0) % 20.95/5.47 | (204) ? [v0] : (member(v0, all_0_1_1) = 0 & ! [v1] : ( ~ (apply(all_0_4_4, v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & member(v1, all_0_3_3) = v2)) & ! [v1] : ( ~ (member(v1, all_0_3_3) = 0) | ? [v2] : ( ~ (v2 = 0) & apply(all_0_4_4, v1, v0) = v2))) % 20.95/5.47 | % 20.95/5.47 | Instantiating (204) with all_130_0_126 yields: % 20.95/5.47 | (205) member(all_130_0_126, all_0_1_1) = 0 & ! [v0] : ( ~ (apply(all_0_4_4, v0, all_130_0_126) = 0) | ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_3_3) = v1)) & ! [v0] : ( ~ (member(v0, all_0_3_3) = 0) | ? [v1] : ( ~ (v1 = 0) & apply(all_0_4_4, v0, all_130_0_126) = v1)) % 20.95/5.47 | % 20.95/5.47 | Applying alpha-rule on (205) yields: % 20.95/5.47 | (206) member(all_130_0_126, all_0_1_1) = 0 % 20.95/5.47 | (207) ! [v0] : ( ~ (apply(all_0_4_4, v0, all_130_0_126) = 0) | ? [v1] : ( ~ (v1 = 0) & member(v0, all_0_3_3) = v1)) % 20.95/5.47 | (208) ! [v0] : ( ~ (member(v0, all_0_3_3) = 0) | ? [v1] : ( ~ (v1 = 0) & apply(all_0_4_4, v0, all_130_0_126) = v1)) % 20.95/5.47 | % 20.95/5.47 | Instantiating formula (55) with all_0_1_1, all_130_0_126, all_0_3_3, all_0_5_5 and discharging atoms image2(all_0_5_5, all_0_3_3) = all_0_1_1, member(all_130_0_126, all_0_1_1) = 0, yields: % 20.95/5.47 | (209) ? [v0] : (apply(all_0_5_5, v0, all_130_0_126) = 0 & member(v0, all_0_3_3) = 0) % 20.95/5.47 | % 20.95/5.47 | Instantiating (209) with all_139_0_127 yields: % 20.95/5.47 | (210) apply(all_0_5_5, all_139_0_127, all_130_0_126) = 0 & member(all_139_0_127, all_0_3_3) = 0 % 20.95/5.47 | % 20.95/5.47 | Applying alpha-rule on (210) yields: % 20.95/5.47 | (211) apply(all_0_5_5, all_139_0_127, all_130_0_126) = 0 % 20.95/5.47 | (212) member(all_139_0_127, all_0_3_3) = 0 % 20.95/5.47 | % 20.95/5.47 | Instantiating formula (122) with 0, all_130_0_126, all_139_0_127 and discharging atoms apply(all_0_5_5, all_139_0_127, all_130_0_126) = 0, yields: % 20.95/5.47 | (213) ? [v0] : ((v0 = 0 & apply(all_0_4_4, all_139_0_127, all_130_0_126) = 0) | ( ~ (v0 = 0) & member(all_139_0_127, all_0_3_3) = v0) | ( ~ (v0 = 0) & member(all_130_0_126, all_0_1_1) = v0)) % 20.95/5.47 | % 20.95/5.47 | Instantiating formula (208) with all_139_0_127 and discharging atoms member(all_139_0_127, all_0_3_3) = 0, yields: % 20.95/5.47 | (214) ? [v0] : ( ~ (v0 = 0) & apply(all_0_4_4, all_139_0_127, all_130_0_126) = v0) % 20.95/5.47 | % 20.95/5.47 | Instantiating (213) with all_150_0_130 yields: % 20.95/5.47 | (215) (all_150_0_130 = 0 & apply(all_0_4_4, all_139_0_127, all_130_0_126) = 0) | ( ~ (all_150_0_130 = 0) & member(all_139_0_127, all_0_3_3) = all_150_0_130) | ( ~ (all_150_0_130 = 0) & member(all_130_0_126, all_0_1_1) = all_150_0_130) % 20.95/5.47 | % 20.95/5.47 | Instantiating (214) with all_151_0_131 yields: % 20.95/5.47 | (216) ~ (all_151_0_131 = 0) & apply(all_0_4_4, all_139_0_127, all_130_0_126) = all_151_0_131 % 20.95/5.47 | % 20.95/5.47 | Applying alpha-rule on (216) yields: % 20.95/5.47 | (217) ~ (all_151_0_131 = 0) % 20.95/5.47 | (218) apply(all_0_4_4, all_139_0_127, all_130_0_126) = all_151_0_131 % 20.95/5.47 | % 20.95/5.47 +-Applying beta-rule and splitting (215), into two cases. % 20.95/5.47 |-Branch one: % 20.95/5.47 | (219) (all_150_0_130 = 0 & apply(all_0_4_4, all_139_0_127, all_130_0_126) = 0) | ( ~ (all_150_0_130 = 0) & member(all_139_0_127, all_0_3_3) = all_150_0_130) % 20.95/5.47 | % 20.95/5.47 +-Applying beta-rule and splitting (219), into two cases. % 20.95/5.47 |-Branch one: % 20.95/5.47 | (220) all_150_0_130 = 0 & apply(all_0_4_4, all_139_0_127, all_130_0_126) = 0 % 20.95/5.47 | % 20.95/5.47 | Applying alpha-rule on (220) yields: % 20.95/5.47 | (221) all_150_0_130 = 0 % 20.95/5.47 | (222) apply(all_0_4_4, all_139_0_127, all_130_0_126) = 0 % 20.95/5.47 | % 20.95/5.47 | Instantiating formula (100) with all_0_4_4, all_139_0_127, all_130_0_126, 0, all_151_0_131 and discharging atoms apply(all_0_4_4, all_139_0_127, all_130_0_126) = all_151_0_131, apply(all_0_4_4, all_139_0_127, all_130_0_126) = 0, yields: % 20.95/5.47 | (223) all_151_0_131 = 0 % 20.95/5.47 | % 20.95/5.47 | Equations (223) can reduce 217 to: % 20.95/5.47 | (193) $false % 20.95/5.47 | % 20.95/5.47 |-The branch is then unsatisfiable % 20.95/5.47 |-Branch two: % 20.95/5.47 | (225) ~ (all_150_0_130 = 0) & member(all_139_0_127, all_0_3_3) = all_150_0_130 % 20.95/5.47 | % 20.95/5.47 | Applying alpha-rule on (225) yields: % 20.95/5.47 | (226) ~ (all_150_0_130 = 0) % 20.95/5.47 | (227) member(all_139_0_127, all_0_3_3) = all_150_0_130 % 20.95/5.47 | % 20.95/5.47 | Instantiating formula (117) with all_139_0_127, all_0_3_3, all_150_0_130, 0 and discharging atoms member(all_139_0_127, all_0_3_3) = all_150_0_130, member(all_139_0_127, all_0_3_3) = 0, yields: % 20.95/5.48 | (221) all_150_0_130 = 0 % 20.95/5.48 | % 20.95/5.48 | Equations (221) can reduce 226 to: % 20.95/5.48 | (193) $false % 20.95/5.48 | % 20.95/5.48 |-The branch is then unsatisfiable % 20.95/5.48 |-Branch two: % 20.95/5.48 | (230) ~ (all_150_0_130 = 0) & member(all_130_0_126, all_0_1_1) = all_150_0_130 % 20.95/5.48 | % 20.95/5.48 | Applying alpha-rule on (230) yields: % 20.95/5.48 | (226) ~ (all_150_0_130 = 0) % 20.95/5.48 | (232) member(all_130_0_126, all_0_1_1) = all_150_0_130 % 20.95/5.48 | % 20.95/5.48 | Instantiating formula (117) with all_130_0_126, all_0_1_1, all_150_0_130, 0 and discharging atoms member(all_130_0_126, all_0_1_1) = all_150_0_130, member(all_130_0_126, all_0_1_1) = 0, yields: % 20.95/5.48 | (221) all_150_0_130 = 0 % 20.95/5.48 | % 20.95/5.48 | Equations (221) can reduce 226 to: % 20.95/5.48 | (193) $false % 20.95/5.48 | % 20.95/5.48 |-The branch is then unsatisfiable % 20.95/5.48 |-Branch two: % 20.95/5.48 | (235) ~ (all_78_0_124 = 0) & injective(all_0_4_4, all_0_3_3, all_0_1_1) = all_78_0_124 % 20.95/5.48 | % 20.95/5.48 | Applying alpha-rule on (235) yields: % 20.95/5.48 | (198) ~ (all_78_0_124 = 0) % 20.95/5.48 | (237) injective(all_0_4_4, all_0_3_3, all_0_1_1) = all_78_0_124 % 20.95/5.48 | % 20.95/5.48 | Instantiating formula (150) with all_78_0_124, all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms injective(all_0_4_4, all_0_3_3, all_0_1_1) = all_78_0_124, yields: % 20.95/5.48 | (238) all_78_0_124 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = v0) & apply(all_0_4_4, v1, v2) = 0 & apply(all_0_4_4, v0, v2) = 0 & member(v2, all_0_1_1) = 0 & member(v1, all_0_3_3) = 0 & member(v0, all_0_3_3) = 0) % 20.95/5.48 | % 20.95/5.48 +-Applying beta-rule and splitting (238), into two cases. % 20.95/5.48 |-Branch one: % 20.95/5.48 | (201) all_78_0_124 = 0 % 20.95/5.48 | % 20.95/5.48 | Equations (201) can reduce 198 to: % 20.95/5.48 | (193) $false % 20.95/5.48 | % 20.95/5.48 |-The branch is then unsatisfiable % 20.95/5.48 |-Branch two: % 20.95/5.48 | (198) ~ (all_78_0_124 = 0) % 20.95/5.48 | (242) ? [v0] : ? [v1] : ? [v2] : ( ~ (v1 = v0) & apply(all_0_4_4, v1, v2) = 0 & apply(all_0_4_4, v0, v2) = 0 & member(v2, all_0_1_1) = 0 & member(v1, all_0_3_3) = 0 & member(v0, all_0_3_3) = 0) % 20.95/5.48 | % 20.95/5.48 | Instantiating (242) with all_130_0_132, all_130_1_133, all_130_2_134 yields: % 20.95/5.48 | (243) ~ (all_130_1_133 = all_130_2_134) & apply(all_0_4_4, all_130_1_133, all_130_0_132) = 0 & apply(all_0_4_4, all_130_2_134, all_130_0_132) = 0 & member(all_130_0_132, all_0_1_1) = 0 & member(all_130_1_133, all_0_3_3) = 0 & member(all_130_2_134, all_0_3_3) = 0 % 20.95/5.48 | % 20.95/5.48 | Applying alpha-rule on (243) yields: % 20.95/5.48 | (244) apply(all_0_4_4, all_130_2_134, all_130_0_132) = 0 % 20.95/5.48 | (245) apply(all_0_4_4, all_130_1_133, all_130_0_132) = 0 % 20.95/5.48 | (246) member(all_130_1_133, all_0_3_3) = 0 % 20.95/5.48 | (247) ~ (all_130_1_133 = all_130_2_134) % 20.95/5.48 | (248) member(all_130_0_132, all_0_1_1) = 0 % 20.95/5.48 | (249) member(all_130_2_134, all_0_3_3) = 0 % 20.95/5.48 | % 20.95/5.48 | Instantiating formula (113) with 0, all_130_0_132, all_130_1_133 and discharging atoms apply(all_0_4_4, all_130_1_133, all_130_0_132) = 0, yields: % 20.95/5.48 | (250) ? [v0] : ((v0 = 0 & apply(all_0_5_5, all_130_1_133, all_130_0_132) = 0) | ( ~ (v0 = 0) & member(all_130_0_132, all_0_1_1) = v0) | ( ~ (v0 = 0) & member(all_130_1_133, all_0_3_3) = v0)) % 20.95/5.48 | % 20.95/5.48 | Instantiating formula (113) with 0, all_130_0_132, all_130_2_134 and discharging atoms apply(all_0_4_4, all_130_2_134, all_130_0_132) = 0, yields: % 20.95/5.48 | (251) ? [v0] : ((v0 = 0 & apply(all_0_5_5, all_130_2_134, all_130_0_132) = 0) | ( ~ (v0 = 0) & member(all_130_0_132, all_0_1_1) = v0) | ( ~ (v0 = 0) & member(all_130_2_134, all_0_3_3) = v0)) % 20.95/5.48 | % 20.95/5.48 | Instantiating formula (55) with all_0_1_1, all_130_0_132, all_0_3_3, all_0_5_5 and discharging atoms image2(all_0_5_5, all_0_3_3) = all_0_1_1, member(all_130_0_132, all_0_1_1) = 0, yields: % 20.95/5.48 | (252) ? [v0] : (apply(all_0_5_5, v0, all_130_0_132) = 0 & member(v0, all_0_3_3) = 0) % 20.95/5.48 | % 20.95/5.48 | Instantiating formula (28) with all_130_0_132, all_0_2_2, all_0_1_1 and discharging atoms subset(all_0_1_1, all_0_2_2) = 0, member(all_130_0_132, all_0_1_1) = 0, yields: % 20.95/5.48 | (253) member(all_130_0_132, all_0_2_2) = 0 % 20.95/5.48 | % 20.95/5.48 | Instantiating (252) with all_140_0_136 yields: % 20.95/5.48 | (254) apply(all_0_5_5, all_140_0_136, all_130_0_132) = 0 & member(all_140_0_136, all_0_3_3) = 0 % 20.95/5.48 | % 20.95/5.48 | Applying alpha-rule on (254) yields: % 20.95/5.48 | (255) apply(all_0_5_5, all_140_0_136, all_130_0_132) = 0 % 20.95/5.48 | (256) member(all_140_0_136, all_0_3_3) = 0 % 20.95/5.48 | % 20.95/5.48 | Instantiating (251) with all_144_0_138 yields: % 20.95/5.48 | (257) (all_144_0_138 = 0 & apply(all_0_5_5, all_130_2_134, all_130_0_132) = 0) | ( ~ (all_144_0_138 = 0) & member(all_130_0_132, all_0_1_1) = all_144_0_138) | ( ~ (all_144_0_138 = 0) & member(all_130_2_134, all_0_3_3) = all_144_0_138) % 20.95/5.48 | % 20.95/5.48 | Instantiating (250) with all_145_0_139 yields: % 20.95/5.48 | (258) (all_145_0_139 = 0 & apply(all_0_5_5, all_130_1_133, all_130_0_132) = 0) | ( ~ (all_145_0_139 = 0) & member(all_130_0_132, all_0_1_1) = all_145_0_139) | ( ~ (all_145_0_139 = 0) & member(all_130_1_133, all_0_3_3) = all_145_0_139) % 20.95/5.48 | % 20.95/5.48 +-Applying beta-rule and splitting (257), into two cases. % 20.95/5.48 |-Branch one: % 20.95/5.48 | (259) (all_144_0_138 = 0 & apply(all_0_5_5, all_130_2_134, all_130_0_132) = 0) | ( ~ (all_144_0_138 = 0) & member(all_130_0_132, all_0_1_1) = all_144_0_138) % 20.95/5.48 | % 20.95/5.48 +-Applying beta-rule and splitting (259), into two cases. % 20.95/5.48 |-Branch one: % 20.95/5.48 | (260) all_144_0_138 = 0 & apply(all_0_5_5, all_130_2_134, all_130_0_132) = 0 % 20.95/5.48 | % 20.95/5.48 | Applying alpha-rule on (260) yields: % 20.95/5.48 | (261) all_144_0_138 = 0 % 20.95/5.48 | (262) apply(all_0_5_5, all_130_2_134, all_130_0_132) = 0 % 20.95/5.48 | % 20.95/5.48 +-Applying beta-rule and splitting (258), into two cases. % 20.95/5.48 |-Branch one: % 20.95/5.48 | (263) (all_145_0_139 = 0 & apply(all_0_5_5, all_130_1_133, all_130_0_132) = 0) | ( ~ (all_145_0_139 = 0) & member(all_130_0_132, all_0_1_1) = all_145_0_139) % 20.95/5.48 | % 20.95/5.48 +-Applying beta-rule and splitting (263), into two cases. % 20.95/5.48 |-Branch one: % 20.95/5.48 | (264) all_145_0_139 = 0 & apply(all_0_5_5, all_130_1_133, all_130_0_132) = 0 % 20.95/5.48 | % 20.95/5.48 | Applying alpha-rule on (264) yields: % 20.95/5.48 | (265) all_145_0_139 = 0 % 20.95/5.48 | (266) apply(all_0_5_5, all_130_1_133, all_130_0_132) = 0 % 20.95/5.48 | % 20.95/5.48 | Instantiating formula (126) with all_130_0_132, all_130_1_133, all_130_2_134, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms injective(all_0_5_5, all_0_3_3, all_0_2_2) = 0, apply(all_0_5_5, all_130_1_133, all_130_0_132) = 0, member(all_130_2_134, all_0_3_3) = 0, yields: % 20.95/5.49 | (267) all_130_1_133 = all_130_2_134 | ? [v0] : (( ~ (v0 = 0) & apply(all_0_5_5, all_130_2_134, all_130_0_132) = v0) | ( ~ (v0 = 0) & member(all_130_0_132, all_0_2_2) = v0) | ( ~ (v0 = 0) & member(all_130_1_133, all_0_3_3) = v0)) % 20.95/5.49 | % 20.95/5.49 | Instantiating formula (124) with all_130_0_132, all_130_2_134, all_140_0_136, all_0_2_2, all_0_3_3, all_0_5_5 and discharging atoms injective(all_0_5_5, all_0_3_3, all_0_2_2) = 0, apply(all_0_5_5, all_140_0_136, all_130_0_132) = 0, apply(all_0_5_5, all_130_2_134, all_130_0_132) = 0, yields: % 20.95/5.49 | (268) all_140_0_136 = all_130_2_134 | ? [v0] : (( ~ (v0 = 0) & member(all_140_0_136, all_0_3_3) = v0) | ( ~ (v0 = 0) & member(all_130_0_132, all_0_2_2) = v0) | ( ~ (v0 = 0) & member(all_130_2_134, all_0_3_3) = v0)) % 20.95/5.49 | % 20.95/5.49 +-Applying beta-rule and splitting (268), into two cases. % 20.95/5.49 |-Branch one: % 20.95/5.49 | (269) all_140_0_136 = all_130_2_134 % 20.95/5.49 | % 20.95/5.49 | From (269) and (255) follows: % 20.95/5.49 | (262) apply(all_0_5_5, all_130_2_134, all_130_0_132) = 0 % 20.95/5.49 | % 20.95/5.49 +-Applying beta-rule and splitting (267), into two cases. % 20.95/5.49 |-Branch one: % 20.95/5.49 | (271) all_130_1_133 = all_130_2_134 % 20.95/5.49 | % 20.95/5.49 | Equations (271) can reduce 247 to: % 20.95/5.49 | (193) $false % 20.95/5.49 | % 20.95/5.49 |-The branch is then unsatisfiable % 20.95/5.49 |-Branch two: % 20.95/5.49 | (247) ~ (all_130_1_133 = all_130_2_134) % 20.95/5.49 | (274) ? [v0] : (( ~ (v0 = 0) & apply(all_0_5_5, all_130_2_134, all_130_0_132) = v0) | ( ~ (v0 = 0) & member(all_130_0_132, all_0_2_2) = v0) | ( ~ (v0 = 0) & member(all_130_1_133, all_0_3_3) = v0)) % 20.95/5.49 | % 20.95/5.49 | Instantiating (274) with all_179_0_147 yields: % 20.95/5.49 | (275) ( ~ (all_179_0_147 = 0) & apply(all_0_5_5, all_130_2_134, all_130_0_132) = all_179_0_147) | ( ~ (all_179_0_147 = 0) & member(all_130_0_132, all_0_2_2) = all_179_0_147) | ( ~ (all_179_0_147 = 0) & member(all_130_1_133, all_0_3_3) = all_179_0_147) % 20.95/5.49 | % 20.95/5.49 +-Applying beta-rule and splitting (275), into two cases. % 20.95/5.49 |-Branch one: % 20.95/5.49 | (276) ( ~ (all_179_0_147 = 0) & apply(all_0_5_5, all_130_2_134, all_130_0_132) = all_179_0_147) | ( ~ (all_179_0_147 = 0) & member(all_130_0_132, all_0_2_2) = all_179_0_147) % 20.95/5.49 | % 20.95/5.49 +-Applying beta-rule and splitting (276), into two cases. % 20.95/5.49 |-Branch one: % 20.95/5.49 | (277) ~ (all_179_0_147 = 0) & apply(all_0_5_5, all_130_2_134, all_130_0_132) = all_179_0_147 % 20.95/5.49 | % 20.95/5.49 | Applying alpha-rule on (277) yields: % 20.95/5.49 | (278) ~ (all_179_0_147 = 0) % 20.95/5.49 | (279) apply(all_0_5_5, all_130_2_134, all_130_0_132) = all_179_0_147 % 20.95/5.49 | % 20.95/5.49 | Instantiating formula (100) with all_0_5_5, all_130_2_134, all_130_0_132, all_179_0_147, 0 and discharging atoms apply(all_0_5_5, all_130_2_134, all_130_0_132) = all_179_0_147, apply(all_0_5_5, all_130_2_134, all_130_0_132) = 0, yields: % 20.95/5.49 | (280) all_179_0_147 = 0 % 20.95/5.49 | % 20.95/5.49 | Equations (280) can reduce 278 to: % 20.95/5.49 | (193) $false % 20.95/5.49 | % 20.95/5.49 |-The branch is then unsatisfiable % 20.95/5.49 |-Branch two: % 20.95/5.49 | (282) ~ (all_179_0_147 = 0) & member(all_130_0_132, all_0_2_2) = all_179_0_147 % 20.95/5.49 | % 20.95/5.49 | Applying alpha-rule on (282) yields: % 20.95/5.49 | (278) ~ (all_179_0_147 = 0) % 20.95/5.49 | (284) member(all_130_0_132, all_0_2_2) = all_179_0_147 % 20.95/5.49 | % 20.95/5.49 | Instantiating formula (117) with all_130_0_132, all_0_2_2, all_179_0_147, 0 and discharging atoms member(all_130_0_132, all_0_2_2) = all_179_0_147, member(all_130_0_132, all_0_2_2) = 0, yields: % 20.95/5.49 | (280) all_179_0_147 = 0 % 20.95/5.49 | % 20.95/5.49 | Equations (280) can reduce 278 to: % 20.95/5.49 | (193) $false % 20.95/5.49 | % 20.95/5.49 |-The branch is then unsatisfiable % 20.95/5.49 |-Branch two: % 21.16/5.49 | (287) ~ (all_179_0_147 = 0) & member(all_130_1_133, all_0_3_3) = all_179_0_147 % 21.16/5.49 | % 21.16/5.49 | Applying alpha-rule on (287) yields: % 21.16/5.49 | (278) ~ (all_179_0_147 = 0) % 21.16/5.49 | (289) member(all_130_1_133, all_0_3_3) = all_179_0_147 % 21.16/5.49 | % 21.16/5.49 | Instantiating formula (117) with all_130_1_133, all_0_3_3, all_179_0_147, 0 and discharging atoms member(all_130_1_133, all_0_3_3) = all_179_0_147, member(all_130_1_133, all_0_3_3) = 0, yields: % 21.16/5.49 | (280) all_179_0_147 = 0 % 21.16/5.49 | % 21.16/5.49 | Equations (280) can reduce 278 to: % 21.16/5.49 | (193) $false % 21.16/5.49 | % 21.16/5.49 |-The branch is then unsatisfiable % 21.16/5.49 |-Branch two: % 21.16/5.49 | (292) ~ (all_140_0_136 = all_130_2_134) % 21.16/5.49 | (293) ? [v0] : (( ~ (v0 = 0) & member(all_140_0_136, all_0_3_3) = v0) | ( ~ (v0 = 0) & member(all_130_0_132, all_0_2_2) = v0) | ( ~ (v0 = 0) & member(all_130_2_134, all_0_3_3) = v0)) % 21.16/5.49 | % 21.16/5.49 | Instantiating (293) with all_175_0_340 yields: % 21.16/5.49 | (294) ( ~ (all_175_0_340 = 0) & member(all_140_0_136, all_0_3_3) = all_175_0_340) | ( ~ (all_175_0_340 = 0) & member(all_130_0_132, all_0_2_2) = all_175_0_340) | ( ~ (all_175_0_340 = 0) & member(all_130_2_134, all_0_3_3) = all_175_0_340) % 21.16/5.49 | % 21.16/5.49 +-Applying beta-rule and splitting (294), into two cases. % 21.16/5.49 |-Branch one: % 21.16/5.49 | (295) ( ~ (all_175_0_340 = 0) & member(all_140_0_136, all_0_3_3) = all_175_0_340) | ( ~ (all_175_0_340 = 0) & member(all_130_0_132, all_0_2_2) = all_175_0_340) % 21.16/5.49 | % 21.16/5.49 +-Applying beta-rule and splitting (295), into two cases. % 21.16/5.49 |-Branch one: % 21.16/5.49 | (296) ~ (all_175_0_340 = 0) & member(all_140_0_136, all_0_3_3) = all_175_0_340 % 21.16/5.49 | % 21.16/5.49 | Applying alpha-rule on (296) yields: % 21.16/5.49 | (297) ~ (all_175_0_340 = 0) % 21.16/5.49 | (298) member(all_140_0_136, all_0_3_3) = all_175_0_340 % 21.16/5.49 | % 21.16/5.49 | Instantiating formula (117) with all_140_0_136, all_0_3_3, all_175_0_340, 0 and discharging atoms member(all_140_0_136, all_0_3_3) = all_175_0_340, member(all_140_0_136, all_0_3_3) = 0, yields: % 21.16/5.49 | (299) all_175_0_340 = 0 % 21.16/5.49 | % 21.16/5.49 | Equations (299) can reduce 297 to: % 21.16/5.49 | (193) $false % 21.16/5.49 | % 21.16/5.49 |-The branch is then unsatisfiable % 21.16/5.49 |-Branch two: % 21.16/5.50 | (301) ~ (all_175_0_340 = 0) & member(all_130_0_132, all_0_2_2) = all_175_0_340 % 21.16/5.50 | % 21.16/5.50 | Applying alpha-rule on (301) yields: % 21.16/5.50 | (297) ~ (all_175_0_340 = 0) % 21.16/5.50 | (303) member(all_130_0_132, all_0_2_2) = all_175_0_340 % 21.16/5.50 | % 21.16/5.50 | Instantiating formula (117) with all_130_0_132, all_0_2_2, all_175_0_340, 0 and discharging atoms member(all_130_0_132, all_0_2_2) = all_175_0_340, member(all_130_0_132, all_0_2_2) = 0, yields: % 21.16/5.50 | (299) all_175_0_340 = 0 % 21.16/5.50 | % 21.16/5.50 | Equations (299) can reduce 297 to: % 21.16/5.50 | (193) $false % 21.16/5.50 | % 21.16/5.50 |-The branch is then unsatisfiable % 21.16/5.50 |-Branch two: % 21.16/5.50 | (306) ~ (all_175_0_340 = 0) & member(all_130_2_134, all_0_3_3) = all_175_0_340 % 21.16/5.50 | % 21.16/5.50 | Applying alpha-rule on (306) yields: % 21.16/5.50 | (297) ~ (all_175_0_340 = 0) % 21.16/5.50 | (308) member(all_130_2_134, all_0_3_3) = all_175_0_340 % 21.16/5.50 | % 21.16/5.50 | Instantiating formula (117) with all_130_2_134, all_0_3_3, all_175_0_340, 0 and discharging atoms member(all_130_2_134, all_0_3_3) = all_175_0_340, member(all_130_2_134, all_0_3_3) = 0, yields: % 21.16/5.50 | (299) all_175_0_340 = 0 % 21.16/5.50 | % 21.16/5.50 | Equations (299) can reduce 297 to: % 21.16/5.50 | (193) $false % 21.16/5.50 | % 21.16/5.50 |-The branch is then unsatisfiable % 21.16/5.50 |-Branch two: % 21.16/5.50 | (311) ~ (all_145_0_139 = 0) & member(all_130_0_132, all_0_1_1) = all_145_0_139 % 21.16/5.50 | % 21.16/5.50 | Applying alpha-rule on (311) yields: % 21.16/5.50 | (312) ~ (all_145_0_139 = 0) % 21.16/5.50 | (313) member(all_130_0_132, all_0_1_1) = all_145_0_139 % 21.16/5.50 | % 21.16/5.50 | Instantiating formula (117) with all_130_0_132, all_0_1_1, all_145_0_139, 0 and discharging atoms member(all_130_0_132, all_0_1_1) = all_145_0_139, member(all_130_0_132, all_0_1_1) = 0, yields: % 21.16/5.50 | (265) all_145_0_139 = 0 % 21.16/5.50 | % 21.16/5.50 | Equations (265) can reduce 312 to: % 21.16/5.50 | (193) $false % 21.16/5.50 | % 21.16/5.50 |-The branch is then unsatisfiable % 21.16/5.50 |-Branch two: % 21.16/5.50 | (316) ~ (all_145_0_139 = 0) & member(all_130_1_133, all_0_3_3) = all_145_0_139 % 21.16/5.50 | % 21.16/5.50 | Applying alpha-rule on (316) yields: % 21.16/5.50 | (312) ~ (all_145_0_139 = 0) % 21.16/5.50 | (318) member(all_130_1_133, all_0_3_3) = all_145_0_139 % 21.16/5.50 | % 21.16/5.50 | Instantiating formula (117) with all_130_1_133, all_0_3_3, all_145_0_139, 0 and discharging atoms member(all_130_1_133, all_0_3_3) = all_145_0_139, member(all_130_1_133, all_0_3_3) = 0, yields: % 21.16/5.50 | (265) all_145_0_139 = 0 % 21.16/5.50 | % 21.16/5.50 | Equations (265) can reduce 312 to: % 21.16/5.50 | (193) $false % 21.16/5.50 | % 21.16/5.50 |-The branch is then unsatisfiable % 21.16/5.50 |-Branch two: % 21.16/5.50 | (321) ~ (all_144_0_138 = 0) & member(all_130_0_132, all_0_1_1) = all_144_0_138 % 21.16/5.50 | % 21.16/5.50 | Applying alpha-rule on (321) yields: % 21.16/5.50 | (322) ~ (all_144_0_138 = 0) % 21.16/5.50 | (323) member(all_130_0_132, all_0_1_1) = all_144_0_138 % 21.16/5.50 | % 21.16/5.50 | Instantiating formula (117) with all_130_0_132, all_0_1_1, all_144_0_138, 0 and discharging atoms member(all_130_0_132, all_0_1_1) = all_144_0_138, member(all_130_0_132, all_0_1_1) = 0, yields: % 21.16/5.50 | (261) all_144_0_138 = 0 % 21.16/5.50 | % 21.16/5.50 | Equations (261) can reduce 322 to: % 21.16/5.50 | (193) $false % 21.16/5.50 | % 21.16/5.50 |-The branch is then unsatisfiable % 21.16/5.50 |-Branch two: % 21.16/5.50 | (326) ~ (all_144_0_138 = 0) & member(all_130_2_134, all_0_3_3) = all_144_0_138 % 21.16/5.50 | % 21.16/5.50 | Applying alpha-rule on (326) yields: % 21.16/5.50 | (322) ~ (all_144_0_138 = 0) % 21.16/5.50 | (328) member(all_130_2_134, all_0_3_3) = all_144_0_138 % 21.16/5.50 | % 21.16/5.50 | Instantiating formula (117) with all_130_2_134, all_0_3_3, all_144_0_138, 0 and discharging atoms member(all_130_2_134, all_0_3_3) = all_144_0_138, member(all_130_2_134, all_0_3_3) = 0, yields: % 21.16/5.50 | (261) all_144_0_138 = 0 % 21.16/5.50 | % 21.16/5.50 | Equations (261) can reduce 322 to: % 21.16/5.50 | (193) $false % 21.16/5.50 | % 21.16/5.50 |-The branch is then unsatisfiable % 21.16/5.50 % SZS output end Proof for theBenchmark % 21.16/5.50 % 21.16/5.50 4897ms %------------------------------------------------------------------------------