%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : PRO009+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n017.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 : Mon Jul 18 17:43:56 EDT 2022 % Result : Theorem 149.99s 105.92s % Output : Proof 165.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : PRO009+1 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.15/0.35 % Computer : n017.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Mon Jun 13 02:57:52 EDT 2022 % 0.15/0.35 % CPUTime : % 0.56/0.59 ____ _ % 0.56/0.59 ___ / __ \_____(_)___ ________ __________ % 0.56/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.56/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.56/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.56/0.60 % 0.56/0.60 A Theorem Prover for First-Order Logic % 0.56/0.60 (ePrincess v.1.0) % 0.56/0.60 % 0.56/0.60 (c) Philipp Rümmer, 2009-2015 % 0.56/0.60 (c) Peter Backeman, 2014-2015 % 0.56/0.60 (contributions by Angelo Brillout, Peter Baumgartner) % 0.56/0.60 Free software under GNU Lesser General Public License (LGPL). % 0.56/0.60 Bug reports to peter@backeman.se % 0.56/0.60 % 0.56/0.60 For more information, visit http://user.uu.se/~petba168/breu/ % 0.56/0.60 % 0.56/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.71/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.73/1.00 Prover 0: Preprocessing ... % 2.47/1.27 Prover 0: Constructing countermodel ... % 19.20/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 19.60/6.02 Prover 1: Preprocessing ... % 20.49/6.22 Prover 1: Constructing countermodel ... % 30.13/8.54 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 30.36/8.59 Prover 2: Preprocessing ... % 31.11/8.76 Prover 2: Warning: ignoring some quantifiers % 31.11/8.77 Prover 2: Constructing countermodel ... % 40.76/11.41 Prover 0: stopped % 41.03/11.61 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 41.19/11.67 Prover 3: Preprocessing ... % 41.19/11.69 Prover 3: Constructing countermodel ... % 85.02/53.00 Prover 3: stopped % 85.26/53.20 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 85.47/53.26 Prover 4: Preprocessing ... % 85.86/53.37 Prover 4: Warning: ignoring some quantifiers % 86.03/53.37 Prover 4: Constructing countermodel ... % 147.56/104.75 Prover 2: stopped % 147.76/104.99 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 147.82/105.03 Prover 5: Preprocessing ... % 148.10/105.11 Prover 5: Constructing countermodel ... % 149.99/105.92 Prover 5: proved (930ms) % 149.99/105.92 Prover 1: stopped % 149.99/105.92 Prover 4: stopped % 149.99/105.92 % 149.99/105.92 No countermodel exists, formula is valid % 149.99/105.92 % SZS status Theorem for theBenchmark % 149.99/105.92 % 149.99/105.92 Generating proof ... found it (size 456) % 163.99/109.78 % 163.99/109.78 % SZS output start Proof for theBenchmark % 163.99/109.78 Assumed formulas after preprocessing and simplification: % 163.99/109.78 | (0) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (next_subocc(v4, v3, v2) = v1) | ~ (next_subocc(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (min_precedes(v4, v3, v2) = v1) | ~ (min_precedes(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leaf_occ(v3, v2) = v1) | ~ (leaf_occ(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root_occ(v3, v2) = v1) | ~ (root_occ(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subactivity_occurrence(v3, v2) = v1) | ~ (subactivity_occurrence(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leaf(v3, v2) = v1) | ~ (leaf(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root(v3, v2) = v1) | ~ (root(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (atocc(v3, v2) = v1) | ~ (atocc(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (precedes(v3, v2) = v1) | ~ (precedes(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (earlier(v3, v2) = v1) | ~ (earlier(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subactivity(v3, v2) = v1) | ~ (subactivity(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (occurrence_of(v3, v2) = v1) | ~ (occurrence_of(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (legal(v2) = v1) | ~ (legal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (arboreal(v2) = v1) | ~ (arboreal(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atomic(v2) = v1) | ~ (atomic(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (activity(v2) = v1) | ~ (activity(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (activity_occurrence(v2) = v1) | ~ (activity_occurrence(v2) = v0)) & ? [v0] : ( ~ (v0 = 0) & ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & atomic(tptp1) = 0 & atomic(tptp2) = 0 & atomic(tptp4) = 0 & atomic(tptp3) = 0 & atomic(tptp0) = v0 & activity(tptp0) = 0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (subactivity_occurrence(v4, v2) = 0) | ~ (min_precedes(v4, v3, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v3, v2) = v9 & min_precedes(v3, v4, v1) = v10 & arboreal(v4) = v8 & arboreal(v3) = v7 & occurrence_of(v2, v1) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (subactivity_occurrence(v4, v2) = 0) | ~ (min_precedes(v3, v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v3, v2) = v9 & min_precedes(v4, v3, v1) = v10 & arboreal(v4) = v8 & arboreal(v3) = v7 & occurrence_of(v2, v1) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (subactivity_occurrence(v3, v2) = 0) | ~ (min_precedes(v4, v3, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v4, v2) = v9 & min_precedes(v3, v4, v1) = v10 & arboreal(v4) = v8 & arboreal(v3) = v7 & occurrence_of(v2, v1) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (subactivity_occurrence(v3, v2) = 0) | ~ (min_precedes(v3, v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v4, v2) = v9 & min_precedes(v4, v3, v1) = v10 & arboreal(v4) = v8 & arboreal(v3) = v7 & occurrence_of(v2, v1) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (min_precedes(v4, v3, v1) = v5) | ~ (occurrence_of(v2, v1) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v4, v2) = v9 & subactivity_occurrence(v3, v2) = v8 & min_precedes(v3, v4, v1) = v10 & arboreal(v4) = v7 & arboreal(v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (min_precedes(v3, v4, v1) = v5) | ~ (occurrence_of(v2, v1) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v4, v2) = v9 & subactivity_occurrence(v3, v2) = v8 & min_precedes(v4, v3, v1) = v10 & arboreal(v4) = v7 & arboreal(v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v3, v4) = v5) | ~ (subactivity(v1, v2) = 0) | ? [v6] : ? [v7] : ( ~ (v7 = 0) & subactivity_occurrence(v6, v4) = 0 & subactivity_occurrence(v6, v3) = v7) | ? [v6] : ? [v7] : (occurrence_of(v4, v2) = v7 & occurrence_of(v3, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v3, v4) = 0) | ~ (atomic(v1) = v5) | ~ (occurrence_of(v4, v2) = 0) | ? [v6] : ? [v7] : (subactivity(v1, v2) = v7 & occurrence_of(v3, v1) = v6 & ( ~ (v6 = 0) | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v3, v4) = 0) | ~ (subactivity(v1, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : (atomic(v1) = v8 & occurrence_of(v4, v2) = v7 & occurrence_of(v3, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v2, v4) = 0) | ~ (subactivity_occurrence(v1, v4) = v5) | ~ (occurrence_of(v4, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & min_precedes(v1, v2, v3) = v6)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v1, v4) = v5) | ~ (min_precedes(v1, v2, v3) = 0) | ? [v6] : ? [v7] : (subactivity_occurrence(v2, v4) = v7 & occurrence_of(v4, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (min_precedes(v3, v1, v4) = 0) | ~ (min_precedes(v2, v3, v4) = v5) | ? [v6] : ? [v7] : (min_precedes(v2, v1, v4) = v6 & precedes(v2, v3) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (min_precedes(v2, v3, v4) = v5) | ~ (min_precedes(v2, v1, v4) = 0) | ? [v6] : ? [v7] : (min_precedes(v3, v1, v4) = v6 & precedes(v2, v3) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (min_precedes(v2, v3, v4) = v5) | ~ (min_precedes(v1, v3, v4) = 0) | ? [v6] : ? [v7] : (min_precedes(v1, v2, v4) = v6 & precedes(v2, v3) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (min_precedes(v2, v3, v4) = v5) | ~ (min_precedes(v1, v2, v4) = 0) | ? [v6] : ? [v7] : (min_precedes(v1, v3, v4) = v6 & precedes(v2, v3) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (subactivity_occurrence(v4, v2) = 0) | ~ (subactivity_occurrence(v3, v2) = 0) | ~ (occurrence_of(v2, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (min_precedes(v4, v3, v1) = v8 & min_precedes(v3, v4, v1) = v7 & arboreal(v4) = v6 & arboreal(v3) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (subactivity_occurrence(v4, v2) = 0) | ~ (arboreal(v3) = 0) | ~ (occurrence_of(v2, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (subactivity_occurrence(v3, v2) = v6 & min_precedes(v4, v3, v1) = v8 & min_precedes(v3, v4, v1) = v7 & arboreal(v4) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (subactivity_occurrence(v3, v2) = 0) | ~ (arboreal(v4) = 0) | ~ (occurrence_of(v2, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (subactivity_occurrence(v4, v2) = v6 & min_precedes(v4, v3, v1) = v8 & min_precedes(v3, v4, v1) = v7 & arboreal(v3) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (arboreal(v4) = 0) | ~ (arboreal(v3) = 0) | ~ (occurrence_of(v2, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (subactivity_occurrence(v4, v2) = v6 & subactivity_occurrence(v3, v2) = v5 & min_precedes(v4, v3, v1) = v8 & min_precedes(v3, v4, v1) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v1 | ~ (earlier(v3, v2) = 0) | ~ (earlier(v3, v1) = v4) | ? [v5] : ? [v6] : (earlier(v1, v3) = v6 & earlier(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v1 | ~ (earlier(v3, v2) = 0) | ~ (earlier(v1, v3) = v4) | ? [v5] : ? [v6] : (earlier(v3, v1) = v6 & earlier(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v1 | ~ (earlier(v3, v1) = v4) | ~ (earlier(v1, v2) = 0) | ? [v5] : ? [v6] : (earlier(v3, v2) = v5 & earlier(v1, v3) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v1 | ~ (earlier(v1, v3) = v4) | ~ (earlier(v1, v2) = 0) | ? [v5] : ? [v6] : (earlier(v3, v2) = v5 & earlier(v3, v1) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = 0) | ~ (subactivity_occurrence(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & subactivity_occurrence(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v1, v3) = v4) | ~ (subactivity_occurrence(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & subactivity_occurrence(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (next_subocc(v1, v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v1, v2, v3) = v5) | ? [v5] : (min_precedes(v5, v2, v3) = 0 & min_precedes(v1, v5, v3) = 0)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (earlier(v2, v3) = 0) | ~ (earlier(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & earlier(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (earlier(v1, v3) = v4) | ~ (earlier(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & earlier(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (subactivity_occurrence(v2, v4) = 0) | ~ (min_precedes(v1, v2, v3) = 0) | ? [v5] : ? [v6] : (subactivity_occurrence(v1, v4) = v6 & occurrence_of(v4, v3) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v3, v1, v4) = 0) | ~ (min_precedes(v2, v1, v4) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & precedes(v2, v3) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v3, v1, v4) = 0) | ~ (precedes(v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & min_precedes(v2, v1, v4) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v2, v1, v4) = 0) | ~ (precedes(v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v3, v1, v4) = v5 & min_precedes(v2, v3, v4) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v3, v4) = 0) | ~ (min_precedes(v1, v2, v4) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & precedes(v2, v3) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v3, v4) = 0) | ~ (precedes(v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & min_precedes(v1, v2, v4) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v2, v4) = 0) | ~ (precedes(v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & min_precedes(v1, v3, v4) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & next_subocc(v1, v2, v3) = v5) | (v4 = 0 & ! [v5] : ( ~ (min_precedes(v5, v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & min_precedes(v1, v5, v3) = v6)) & ! [v5] : ( ~ (min_precedes(v1, v5, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & min_precedes(v5, v2, v3) = v6)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v2, v3) = 0) | ~ (occurrence_of(v4, v3) = 0) | ? [v5] : ? [v6] : (subactivity_occurrence(v2, v4) = v5 & subactivity_occurrence(v1, v4) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (arboreal(v1) = v3) | ~ (atomic(v2) = v4) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v2) = v5) | (( ~ (v4 = 0) | v3 = 0) & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (activity(v1) = v3) | ~ (activity_occurrence(v2) = v4) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v1) = v5) | (v4 = 0 & v3 = 0)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (activity_occurrence(v2) = v4) | ~ (activity_occurrence(v1) = v3) | ? [v5] : ( ~ (v5 = 0) & subactivity_occurrence(v1, v2) = v5) | (v4 = 0 & v3 = 0)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (occurrence_of(v4, v2) = 0) | ~ (occurrence_of(v3, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v3, v4) = v6 & atomic(v1) = v5 & subactivity(v1, v2) = v7 & ( ~ (v6 = 0) | v7 = 0 | v5 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (occurrence_of(v4, v2) = 0) | ~ (occurrence_of(v3, v1) = 0) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & subactivity_occurrence(v5, v4) = 0 & subactivity_occurrence(v5, v3) = v6) | ? [v5] : ? [v6] : (subactivity_occurrence(v3, v4) = v6 & subactivity(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (occurrence_of(v1, v3) = 0) | ~ (occurrence_of(v1, v2) = 0)) & ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (earlier(v3, v2) = 0) | ~ (earlier(v1, v2) = 0) | ? [v4] : ? [v5] : (earlier(v3, v1) = v4 & earlier(v1, v3) = v5 & (v5 = 0 | v4 = 0))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leaf_occ(v1, v2) = v3) | ? [v4] : (subactivity_occurrence(v1, v2) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (leaf(v1, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & occurrence_of(v2, v5) = v6)) & ! [v5] : ( ~ (v4 = 0) | ~ (occurrence_of(v2, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & leaf(v1, v5) = v6)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (root_occ(v1, v2) = v3) | ? [v4] : (subactivity_occurrence(v1, v2) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (root(v1, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & occurrence_of(v2, v5) = v6)) & ! [v5] : ( ~ (v4 = 0) | ~ (occurrence_of(v2, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & root(v1, v5) = v6)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leaf(v1, v2) = v3) | ? [v4] : min_precedes(v1, v4, v2) = 0 | ( ! [v4] : ~ (min_precedes(v4, v1, v2) = 0) & ? [v4] : ( ~ (v4 = 0) & root(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (root(v1, v2) = v3) | ? [v4] : ? [v5] : (atocc(v1, v2) = v4 & legal(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (atocc(v1, v2) = v3) | ( ! [v4] : ( ~ (atomic(v4) = 0) | ? [v5] : ? [v6] : (subactivity(v2, v4) = v5 & occurrence_of(v1, v4) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v4] : ( ~ (subactivity(v2, v4) = 0) | ? [v5] : ? [v6] : (atomic(v4) = v5 & occurrence_of(v1, v4) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v4] : ( ~ (occurrence_of(v1, v4) = 0) | ? [v5] : ? [v6] : (atomic(v4) = v6 & subactivity(v2, v4) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (precedes(v1, v2) = v3) | ? [v4] : ? [v5] : (legal(v2) = v5 & earlier(v1, v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (legal(v2) = v3) | ~ (legal(v1) = 0) | ? [v4] : ( ~ (v4 = 0) & earlier(v2, v1) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v2, v3) = 0) | ~ (subactivity_occurrence(v1, v2) = 0) | subactivity_occurrence(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v2) = v3) | leaf_occ(v1, v2) = 0 | ( ! [v4] : ( ~ (v3 = 0) | ~ (leaf(v1, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v4) = v5)) & ! [v4] : ( ~ (v3 = 0) | ~ (occurrence_of(v2, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leaf(v1, v4) = v5)))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v2) = v3) | root_occ(v1, v2) = 0 | ( ! [v4] : ( ~ (v3 = 0) | ~ (root(v1, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v4) = v5)) & ! [v4] : ( ~ (v3 = 0) | ~ (occurrence_of(v2, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & root(v1, v4) = v5)))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v2) = v3) | ? [v4] : (v3 = 0 & leaf(v1, v4) = 0 & occurrence_of(v2, v4) = 0) | ? [v4] : ( ~ (v4 = 0) & leaf_occ(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v2) = v3) | ? [v4] : (v3 = 0 & root(v1, v4) = 0 & occurrence_of(v2, v4) = 0) | ? [v4] : ( ~ (v4 = 0) & root_occ(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (next_subocc(v1, v2, v3) = 0) | (min_precedes(v1, v2, v3) = 0 & ! [v4] : ( ~ (min_precedes(v4, v2, v3) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v1, v4, v3) = v5)) & ! [v4] : ( ~ (min_precedes(v1, v4, v3) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v4, v2, v3) = v5)))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (root(v1, v2) = v3) | leaf(v1, v2) = 0 | ? [v4] : min_precedes(v1, v4, v2) = 0 | ( ~ (v3 = 0) & ! [v4] : ~ (min_precedes(v4, v1, v2) = 0))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (root(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leaf(v1, v2) = v4) | ( ! [v4] : ~ (min_precedes(v1, v4, v2) = 0) & (v3 = 0 | ? [v4] : min_precedes(v4, v1, v2) = 0))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v3, v1) = 0) | ? [v4] : ? [v5] : (atocc(v3, v5) = 0 & atocc(v2, v4) = 0 & subactivity(v5, v1) = 0 & subactivity(v4, v1) = 0)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v3, v1) = 0) | ? [v4] : (subactivity_occurrence(v3, v4) = 0 & subactivity_occurrence(v2, v4) = 0 & occurrence_of(v4, v1) = 0)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | next_subocc(v1, v2, v3) = 0 | ? [v4] : (min_precedes(v4, v2, v3) = 0 & min_precedes(v1, v4, v3) = 0)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | precedes(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & root(v2, v3) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & atomic(v3) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | ? [v4] : (root(v4, v3) = 0 & min_precedes(v4, v2, v3) = 0)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (earlier(v2, v3) = 0) | ~ (earlier(v1, v2) = 0) | earlier(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (earlier(v1, v2) = v3) | ? [v4] : ? [v5] : (precedes(v1, v2) = v4 & legal(v2) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [v1] : ! [v2] : (v2 = 0 | ~ (arboreal(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & legal(v1) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (subactivity(v1, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & activity(v1) = v3)) & ! [v1] : ! [v2] : ( ~ (leaf_occ(v1, v2) = 0) | ? [v3] : (subactivity_occurrence(v1, v2) = v3 & ? [v4] : (v3 = 0 & leaf(v1, v4) = 0 & occurrence_of(v2, v4) = 0))) & ! [v1] : ! [v2] : ( ~ (root_occ(v1, v2) = 0) | ? [v3] : (subactivity_occurrence(v1, v2) = v3 & ? [v4] : (v3 = 0 & root(v1, v4) = 0 & occurrence_of(v2, v4) = 0))) & ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v1, v2) = 0) | (activity_occurrence(v2) = 0 & activity_occurrence(v1) = 0)) & ! [v1] : ! [v2] : ( ~ (leaf(v1, v2) = 0) | ( ! [v3] : ~ (min_precedes(v1, v3, v2) = 0) & (root(v1, v2) = 0 | ? [v3] : min_precedes(v3, v1, v2) = 0))) & ! [v1] : ! [v2] : ( ~ (root(v2, v1) = 0) | atomic(v1) = 0 | ? [v3] : (subactivity_occurrence(v2, v3) = 0 & occurrence_of(v3, v1) = 0)) & ! [v1] : ! [v2] : ( ~ (root(v2, v1) = 0) | ? [v3] : (atocc(v2, v3) = 0 & subactivity(v3, v1) = 0)) & ! [v1] : ! [v2] : ( ~ (root(v1, v2) = 0) | legal(v1) = 0) & ! [v1] : ! [v2] : ( ~ (atocc(v1, v2) = 0) | ? [v3] : ? [v4] : (root(v1, v2) = v4 & legal(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (atocc(v1, v2) = 0) | ? [v3] : (atomic(v3) = 0 & subactivity(v2, v3) = 0 & occurrence_of(v1, v3) = 0)) & ! [v1] : ! [v2] : ( ~ (precedes(v1, v2) = 0) | (legal(v2) = 0 & earlier(v1, v2) = 0)) & ! [v1] : ! [v2] : ( ~ (earlier(v2, v1) = 0) | ? [v3] : ? [v4] : (legal(v2) = v4 & legal(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (earlier(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & earlier(v1, v2) = v3)) & ! [v1] : ! [v2] : ( ~ (earlier(v1, v2) = 0) | ? [v3] : ? [v4] : (precedes(v1, v2) = v4 & legal(v2) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (earlier(v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & earlier(v2, v1) = v3)) & ! [v1] : ! [v2] : ( ~ (occurrence_of(v2, v1) = 0) | atomic(v1) = 0 | ? [v3] : (subactivity_occurrence(v3, v2) = 0 & root(v3, v1) = 0)) & ! [v1] : ! [v2] : ( ~ (occurrence_of(v2, v1) = 0) | (activity(v1) = 0 & activity_occurrence(v2) = 0)) & ! [v1] : ! [v2] : ( ~ (occurrence_of(v1, v2) = 0) | ? [v3] : ? [v4] : (arboreal(v1) = v3 & atomic(v2) = v4 & ( ~ (v4 = 0) | v3 = 0) & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ( ~ (legal(v1) = 0) | arboreal(v1) = 0) & ! [v1] : ( ~ (activity(v1) = 0) | subactivity(v1, v1) = 0) & ! [v1] : ( ~ (activity_occurrence(v1) = 0) | ? [v2] : (activity(v2) = 0 & occurrence_of(v1, v2) = 0)) & ! [v1] : ( ~ (occurrence_of(v1, tptp0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v4, v1) = 0 & root_occ(v2, v1) = 0 & next_subocc(v3, v4, tptp0) = 0 & next_subocc(v2, v3, tptp0) = 0 & occurrence_of(v4, tptp1) = v6 & occurrence_of(v4, tptp2) = v5 & occurrence_of(v3, tptp4) = 0 & occurrence_of(v2, tptp3) = 0 & (v6 = 0 | v5 = 0))) & ? [v1] : (occurrence_of(v1, tptp0) = 0 & ! [v2] : ! [v3] : ! [v4] : ( ~ (root_occ(v2, v1) = 0) | ~ (occurrence_of(v3, tptp1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp2) = v6 & occurrence_of(v2, tptp3) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v5 = 0) | ( ~ (v6 = 0) & ~ (v4 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (root_occ(v2, v1) = 0) | ~ (occurrence_of(v3, tptp2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp1) = v6 & occurrence_of(v2, tptp3) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v5 = 0) | ( ~ (v6 = 0) & ~ (v4 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (occurrence_of(v3, tptp1) = v4) | ~ (occurrence_of(v2, tptp3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & root_occ(v2, v1) = v5 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp2) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v5 = 0) | ( ~ (v6 = 0) & ~ (v4 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (occurrence_of(v3, tptp2) = v4) | ~ (occurrence_of(v2, tptp3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & root_occ(v2, v1) = v5 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v5 = 0) | ( ~ (v6 = 0) & ~ (v4 = 0))))) & ! [v2] : ! [v3] : ( ~ (leaf_occ(v3, v1) = 0) | ~ (root_occ(v2, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp1) = v6 & occurrence_of(v3, tptp2) = v5 & occurrence_of(v2, tptp3) = v4 & ( ~ (v7 = 0) | ~ (v4 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) & ! [v2] : ! [v3] : ( ~ (leaf_occ(v3, v1) = 0) | ~ (occurrence_of(v2, tptp3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (root_occ(v2, v1) = v4 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp1) = v6 & occurrence_of(v3, tptp2) = v5 & ( ~ (v7 = 0) | ~ (v4 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) & ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v3, tptp0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & root_occ(v2, v1) = v5 & occurrence_of(v3, tptp1) = v7 & occurrence_of(v3, tptp2) = v6 & occurrence_of(v2, tptp3) = v4 & ( ~ (v8 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))))))) % 164.26/109.89 | Applying alpha-rule on (0) yields: % 164.26/109.89 | (1) ? [v0] : ( ~ (v0 = 0) & ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & atomic(tptp1) = 0 & atomic(tptp2) = 0 & atomic(tptp4) = 0 & atomic(tptp3) = 0 & atomic(tptp0) = v0 & activity(tptp0) = 0 & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (subactivity_occurrence(v4, v2) = 0) | ~ (min_precedes(v4, v3, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v3, v2) = v9 & min_precedes(v3, v4, v1) = v10 & arboreal(v4) = v8 & arboreal(v3) = v7 & occurrence_of(v2, v1) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (subactivity_occurrence(v4, v2) = 0) | ~ (min_precedes(v3, v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v3, v2) = v9 & min_precedes(v4, v3, v1) = v10 & arboreal(v4) = v8 & arboreal(v3) = v7 & occurrence_of(v2, v1) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (subactivity_occurrence(v3, v2) = 0) | ~ (min_precedes(v4, v3, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v4, v2) = v9 & min_precedes(v3, v4, v1) = v10 & arboreal(v4) = v8 & arboreal(v3) = v7 & occurrence_of(v2, v1) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (subactivity_occurrence(v3, v2) = 0) | ~ (min_precedes(v3, v4, v1) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v4, v2) = v9 & min_precedes(v4, v3, v1) = v10 & arboreal(v4) = v8 & arboreal(v3) = v7 & occurrence_of(v2, v1) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (min_precedes(v4, v3, v1) = v5) | ~ (occurrence_of(v2, v1) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v4, v2) = v9 & subactivity_occurrence(v3, v2) = v8 & min_precedes(v3, v4, v1) = v10 & arboreal(v4) = v7 & arboreal(v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | v4 = v3 | ~ (min_precedes(v3, v4, v1) = v5) | ~ (occurrence_of(v2, v1) = 0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (subactivity_occurrence(v4, v2) = v9 & subactivity_occurrence(v3, v2) = v8 & min_precedes(v4, v3, v1) = v10 & arboreal(v4) = v7 & arboreal(v3) = v6 & ( ~ (v9 = 0) | ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | v10 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v3, v4) = v5) | ~ (subactivity(v1, v2) = 0) | ? [v6] : ? [v7] : ( ~ (v7 = 0) & subactivity_occurrence(v6, v4) = 0 & subactivity_occurrence(v6, v3) = v7) | ? [v6] : ? [v7] : (occurrence_of(v4, v2) = v7 & occurrence_of(v3, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v3, v4) = 0) | ~ (atomic(v1) = v5) | ~ (occurrence_of(v4, v2) = 0) | ? [v6] : ? [v7] : (subactivity(v1, v2) = v7 & occurrence_of(v3, v1) = v6 & ( ~ (v6 = 0) | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v3, v4) = 0) | ~ (subactivity(v1, v2) = v5) | ? [v6] : ? [v7] : ? [v8] : (atomic(v1) = v8 & occurrence_of(v4, v2) = v7 & occurrence_of(v3, v1) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0) | v8 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v2, v4) = 0) | ~ (subactivity_occurrence(v1, v4) = v5) | ~ (occurrence_of(v4, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & min_precedes(v1, v2, v3) = v6)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (subactivity_occurrence(v1, v4) = v5) | ~ (min_precedes(v1, v2, v3) = 0) | ? [v6] : ? [v7] : (subactivity_occurrence(v2, v4) = v7 & occurrence_of(v4, v3) = v6 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (min_precedes(v3, v1, v4) = 0) | ~ (min_precedes(v2, v3, v4) = v5) | ? [v6] : ? [v7] : (min_precedes(v2, v1, v4) = v6 & precedes(v2, v3) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (min_precedes(v2, v3, v4) = v5) | ~ (min_precedes(v2, v1, v4) = 0) | ? [v6] : ? [v7] : (min_precedes(v3, v1, v4) = v6 & precedes(v2, v3) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (min_precedes(v2, v3, v4) = v5) | ~ (min_precedes(v1, v3, v4) = 0) | ? [v6] : ? [v7] : (min_precedes(v1, v2, v4) = v6 & precedes(v2, v3) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = 0 | ~ (min_precedes(v2, v3, v4) = v5) | ~ (min_precedes(v1, v2, v4) = 0) | ? [v6] : ? [v7] : (min_precedes(v1, v3, v4) = v6 & precedes(v2, v3) = v7 & ( ~ (v7 = 0) | ~ (v6 = 0)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (subactivity_occurrence(v4, v2) = 0) | ~ (subactivity_occurrence(v3, v2) = 0) | ~ (occurrence_of(v2, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (min_precedes(v4, v3, v1) = v8 & min_precedes(v3, v4, v1) = v7 & arboreal(v4) = v6 & arboreal(v3) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (subactivity_occurrence(v4, v2) = 0) | ~ (arboreal(v3) = 0) | ~ (occurrence_of(v2, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (subactivity_occurrence(v3, v2) = v6 & min_precedes(v4, v3, v1) = v8 & min_precedes(v3, v4, v1) = v7 & arboreal(v4) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (subactivity_occurrence(v3, v2) = 0) | ~ (arboreal(v4) = 0) | ~ (occurrence_of(v2, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (subactivity_occurrence(v4, v2) = v6 & min_precedes(v4, v3, v1) = v8 & min_precedes(v3, v4, v1) = v7 & arboreal(v3) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (arboreal(v4) = 0) | ~ (arboreal(v3) = 0) | ~ (occurrence_of(v2, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (subactivity_occurrence(v4, v2) = v6 & subactivity_occurrence(v3, v2) = v5 & min_precedes(v4, v3, v1) = v8 & min_precedes(v3, v4, v1) = v7 & ( ~ (v6 = 0) | ~ (v5 = 0) | v8 = 0 | v7 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v1 | ~ (earlier(v3, v2) = 0) | ~ (earlier(v3, v1) = v4) | ? [v5] : ? [v6] : (earlier(v1, v3) = v6 & earlier(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v1 | ~ (earlier(v3, v2) = 0) | ~ (earlier(v1, v3) = v4) | ? [v5] : ? [v6] : (earlier(v3, v1) = v6 & earlier(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v1 | ~ (earlier(v3, v1) = v4) | ~ (earlier(v1, v2) = 0) | ? [v5] : ? [v6] : (earlier(v3, v2) = v5 & earlier(v1, v3) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v1 | ~ (earlier(v1, v3) = v4) | ~ (earlier(v1, v2) = 0) | ? [v5] : ? [v6] : (earlier(v3, v2) = v5 & earlier(v3, v1) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = 0) | ~ (subactivity_occurrence(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & subactivity_occurrence(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v1, v3) = v4) | ~ (subactivity_occurrence(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & subactivity_occurrence(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (next_subocc(v1, v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v1, v2, v3) = v5) | ? [v5] : (min_precedes(v5, v2, v3) = 0 & min_precedes(v1, v5, v3) = 0)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (earlier(v2, v3) = 0) | ~ (earlier(v1, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & earlier(v1, v2) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (earlier(v1, v3) = v4) | ~ (earlier(v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & earlier(v2, v3) = v5)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (subactivity_occurrence(v2, v4) = 0) | ~ (min_precedes(v1, v2, v3) = 0) | ? [v5] : ? [v6] : (subactivity_occurrence(v1, v4) = v6 & occurrence_of(v4, v3) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v3, v1, v4) = 0) | ~ (min_precedes(v2, v1, v4) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & precedes(v2, v3) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v3, v1, v4) = 0) | ~ (precedes(v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & min_precedes(v2, v1, v4) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v2, v1, v4) = 0) | ~ (precedes(v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v3, v1, v4) = v5 & min_precedes(v2, v3, v4) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v3, v4) = 0) | ~ (min_precedes(v1, v2, v4) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & precedes(v2, v3) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v3, v4) = 0) | ~ (precedes(v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & min_precedes(v1, v2, v4) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v2, v4) = 0) | ~ (precedes(v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v3, v4) = v6 & min_precedes(v1, v3, v4) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v2, v3) = v4) | ? [v5] : ( ~ (v5 = 0) & next_subocc(v1, v2, v3) = v5) | (v4 = 0 & ! [v5] : ( ~ (min_precedes(v5, v2, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & min_precedes(v1, v5, v3) = v6)) & ! [v5] : ( ~ (min_precedes(v1, v5, v3) = 0) | ? [v6] : ( ~ (v6 = 0) & min_precedes(v5, v2, v3) = v6)))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (min_precedes(v1, v2, v3) = 0) | ~ (occurrence_of(v4, v3) = 0) | ? [v5] : ? [v6] : (subactivity_occurrence(v2, v4) = v5 & subactivity_occurrence(v1, v4) = v6 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (arboreal(v1) = v3) | ~ (atomic(v2) = v4) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v2) = v5) | (( ~ (v4 = 0) | v3 = 0) & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (activity(v1) = v3) | ~ (activity_occurrence(v2) = v4) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v1) = v5) | (v4 = 0 & v3 = 0)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (activity_occurrence(v2) = v4) | ~ (activity_occurrence(v1) = v3) | ? [v5] : ( ~ (v5 = 0) & subactivity_occurrence(v1, v2) = v5) | (v4 = 0 & v3 = 0)) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (occurrence_of(v4, v2) = 0) | ~ (occurrence_of(v3, v1) = 0) | ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v3, v4) = v6 & atomic(v1) = v5 & subactivity(v1, v2) = v7 & ( ~ (v6 = 0) | v7 = 0 | v5 = 0))) & ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (occurrence_of(v4, v2) = 0) | ~ (occurrence_of(v3, v1) = 0) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & subactivity_occurrence(v5, v4) = 0 & subactivity_occurrence(v5, v3) = v6) | ? [v5] : ? [v6] : (subactivity_occurrence(v3, v4) = v6 & subactivity(v1, v2) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (occurrence_of(v1, v3) = 0) | ~ (occurrence_of(v1, v2) = 0)) & ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (earlier(v3, v2) = 0) | ~ (earlier(v1, v2) = 0) | ? [v4] : ? [v5] : (earlier(v3, v1) = v4 & earlier(v1, v3) = v5 & (v5 = 0 | v4 = 0))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leaf_occ(v1, v2) = v3) | ? [v4] : (subactivity_occurrence(v1, v2) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (leaf(v1, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & occurrence_of(v2, v5) = v6)) & ! [v5] : ( ~ (v4 = 0) | ~ (occurrence_of(v2, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & leaf(v1, v5) = v6)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (root_occ(v1, v2) = v3) | ? [v4] : (subactivity_occurrence(v1, v2) = v4 & ! [v5] : ( ~ (v4 = 0) | ~ (root(v1, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & occurrence_of(v2, v5) = v6)) & ! [v5] : ( ~ (v4 = 0) | ~ (occurrence_of(v2, v5) = 0) | ? [v6] : ( ~ (v6 = 0) & root(v1, v5) = v6)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (leaf(v1, v2) = v3) | ? [v4] : min_precedes(v1, v4, v2) = 0 | ( ! [v4] : ~ (min_precedes(v4, v1, v2) = 0) & ? [v4] : ( ~ (v4 = 0) & root(v1, v2) = v4))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (root(v1, v2) = v3) | ? [v4] : ? [v5] : (atocc(v1, v2) = v4 & legal(v1) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (atocc(v1, v2) = v3) | ( ! [v4] : ( ~ (atomic(v4) = 0) | ? [v5] : ? [v6] : (subactivity(v2, v4) = v5 & occurrence_of(v1, v4) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v4] : ( ~ (subactivity(v2, v4) = 0) | ? [v5] : ? [v6] : (atomic(v4) = v5 & occurrence_of(v1, v4) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v4] : ( ~ (occurrence_of(v1, v4) = 0) | ? [v5] : ? [v6] : (atomic(v4) = v6 & subactivity(v2, v4) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (precedes(v1, v2) = v3) | ? [v4] : ? [v5] : (legal(v2) = v5 & earlier(v1, v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (legal(v2) = v3) | ~ (legal(v1) = 0) | ? [v4] : ( ~ (v4 = 0) & earlier(v2, v1) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v2, v3) = 0) | ~ (subactivity_occurrence(v1, v2) = 0) | subactivity_occurrence(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v2) = v3) | leaf_occ(v1, v2) = 0 | ( ! [v4] : ( ~ (v3 = 0) | ~ (leaf(v1, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v4) = v5)) & ! [v4] : ( ~ (v3 = 0) | ~ (occurrence_of(v2, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leaf(v1, v4) = v5)))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v2) = v3) | root_occ(v1, v2) = 0 | ( ! [v4] : ( ~ (v3 = 0) | ~ (root(v1, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v2, v4) = v5)) & ! [v4] : ( ~ (v3 = 0) | ~ (occurrence_of(v2, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & root(v1, v4) = v5)))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v2) = v3) | ? [v4] : (v3 = 0 & leaf(v1, v4) = 0 & occurrence_of(v2, v4) = 0) | ? [v4] : ( ~ (v4 = 0) & leaf_occ(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v2) = v3) | ? [v4] : (v3 = 0 & root(v1, v4) = 0 & occurrence_of(v2, v4) = 0) | ? [v4] : ( ~ (v4 = 0) & root_occ(v1, v2) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (next_subocc(v1, v2, v3) = 0) | (min_precedes(v1, v2, v3) = 0 & ! [v4] : ( ~ (min_precedes(v4, v2, v3) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v1, v4, v3) = v5)) & ! [v4] : ( ~ (min_precedes(v1, v4, v3) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v4, v2, v3) = v5)))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (root(v1, v2) = v3) | leaf(v1, v2) = 0 | ? [v4] : min_precedes(v1, v4, v2) = 0 | ( ~ (v3 = 0) & ! [v4] : ~ (min_precedes(v4, v1, v2) = 0))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (root(v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & leaf(v1, v2) = v4) | ( ! [v4] : ~ (min_precedes(v1, v4, v2) = 0) & (v3 = 0 | ? [v4] : min_precedes(v4, v1, v2) = 0))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v3, v1) = 0) | ? [v4] : ? [v5] : (atocc(v3, v5) = 0 & atocc(v2, v4) = 0 & subactivity(v5, v1) = 0 & subactivity(v4, v1) = 0)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v3, v1) = 0) | ? [v4] : (subactivity_occurrence(v3, v4) = 0 & subactivity_occurrence(v2, v4) = 0 & occurrence_of(v4, v1) = 0)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | next_subocc(v1, v2, v3) = 0 | ? [v4] : (min_precedes(v4, v2, v3) = 0 & min_precedes(v1, v4, v3) = 0)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | precedes(v1, v2) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & root(v2, v3) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & atomic(v3) = v4)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v2, v3) = 0) | ? [v4] : (root(v4, v3) = 0 & min_precedes(v4, v2, v3) = 0)) & ! [v1] : ! [v2] : ! [v3] : ( ~ (earlier(v2, v3) = 0) | ~ (earlier(v1, v2) = 0) | earlier(v1, v3) = 0) & ! [v1] : ! [v2] : ! [v3] : ( ~ (earlier(v1, v2) = v3) | ? [v4] : ? [v5] : (precedes(v1, v2) = v4 & legal(v2) = v5 & ( ~ (v4 = 0) | (v5 = 0 & v3 = 0)))) & ! [v1] : ! [v2] : (v2 = 0 | ~ (arboreal(v1) = v2) | ? [v3] : ( ~ (v3 = 0) & legal(v1) = v3)) & ! [v1] : ! [v2] : (v2 = 0 | ~ (subactivity(v1, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & activity(v1) = v3)) & ! [v1] : ! [v2] : ( ~ (leaf_occ(v1, v2) = 0) | ? [v3] : (subactivity_occurrence(v1, v2) = v3 & ? [v4] : (v3 = 0 & leaf(v1, v4) = 0 & occurrence_of(v2, v4) = 0))) & ! [v1] : ! [v2] : ( ~ (root_occ(v1, v2) = 0) | ? [v3] : (subactivity_occurrence(v1, v2) = v3 & ? [v4] : (v3 = 0 & root(v1, v4) = 0 & occurrence_of(v2, v4) = 0))) & ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v1, v2) = 0) | (activity_occurrence(v2) = 0 & activity_occurrence(v1) = 0)) & ! [v1] : ! [v2] : ( ~ (leaf(v1, v2) = 0) | ( ! [v3] : ~ (min_precedes(v1, v3, v2) = 0) & (root(v1, v2) = 0 | ? [v3] : min_precedes(v3, v1, v2) = 0))) & ! [v1] : ! [v2] : ( ~ (root(v2, v1) = 0) | atomic(v1) = 0 | ? [v3] : (subactivity_occurrence(v2, v3) = 0 & occurrence_of(v3, v1) = 0)) & ! [v1] : ! [v2] : ( ~ (root(v2, v1) = 0) | ? [v3] : (atocc(v2, v3) = 0 & subactivity(v3, v1) = 0)) & ! [v1] : ! [v2] : ( ~ (root(v1, v2) = 0) | legal(v1) = 0) & ! [v1] : ! [v2] : ( ~ (atocc(v1, v2) = 0) | ? [v3] : ? [v4] : (root(v1, v2) = v4 & legal(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (atocc(v1, v2) = 0) | ? [v3] : (atomic(v3) = 0 & subactivity(v2, v3) = 0 & occurrence_of(v1, v3) = 0)) & ! [v1] : ! [v2] : ( ~ (precedes(v1, v2) = 0) | (legal(v2) = 0 & earlier(v1, v2) = 0)) & ! [v1] : ! [v2] : ( ~ (earlier(v2, v1) = 0) | ? [v3] : ? [v4] : (legal(v2) = v4 & legal(v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (earlier(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & earlier(v1, v2) = v3)) & ! [v1] : ! [v2] : ( ~ (earlier(v1, v2) = 0) | ? [v3] : ? [v4] : (precedes(v1, v2) = v4 & legal(v2) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ! [v2] : ( ~ (earlier(v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & earlier(v2, v1) = v3)) & ! [v1] : ! [v2] : ( ~ (occurrence_of(v2, v1) = 0) | atomic(v1) = 0 | ? [v3] : (subactivity_occurrence(v3, v2) = 0 & root(v3, v1) = 0)) & ! [v1] : ! [v2] : ( ~ (occurrence_of(v2, v1) = 0) | (activity(v1) = 0 & activity_occurrence(v2) = 0)) & ! [v1] : ! [v2] : ( ~ (occurrence_of(v1, v2) = 0) | ? [v3] : ? [v4] : (arboreal(v1) = v3 & atomic(v2) = v4 & ( ~ (v4 = 0) | v3 = 0) & ( ~ (v3 = 0) | v4 = 0))) & ! [v1] : ( ~ (legal(v1) = 0) | arboreal(v1) = 0) & ! [v1] : ( ~ (activity(v1) = 0) | subactivity(v1, v1) = 0) & ! [v1] : ( ~ (activity_occurrence(v1) = 0) | ? [v2] : (activity(v2) = 0 & occurrence_of(v1, v2) = 0)) & ! [v1] : ( ~ (occurrence_of(v1, tptp0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v4, v1) = 0 & root_occ(v2, v1) = 0 & next_subocc(v3, v4, tptp0) = 0 & next_subocc(v2, v3, tptp0) = 0 & occurrence_of(v4, tptp1) = v6 & occurrence_of(v4, tptp2) = v5 & occurrence_of(v3, tptp4) = 0 & occurrence_of(v2, tptp3) = 0 & (v6 = 0 | v5 = 0))) & ? [v1] : (occurrence_of(v1, tptp0) = 0 & ! [v2] : ! [v3] : ! [v4] : ( ~ (root_occ(v2, v1) = 0) | ~ (occurrence_of(v3, tptp1) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp2) = v6 & occurrence_of(v2, tptp3) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v5 = 0) | ( ~ (v6 = 0) & ~ (v4 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (root_occ(v2, v1) = 0) | ~ (occurrence_of(v3, tptp2) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp1) = v6 & occurrence_of(v2, tptp3) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v5 = 0) | ( ~ (v6 = 0) & ~ (v4 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (occurrence_of(v3, tptp1) = v4) | ~ (occurrence_of(v2, tptp3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & root_occ(v2, v1) = v5 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp2) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v5 = 0) | ( ~ (v6 = 0) & ~ (v4 = 0))))) & ! [v2] : ! [v3] : ! [v4] : ( ~ (occurrence_of(v3, tptp2) = v4) | ~ (occurrence_of(v2, tptp3) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & root_occ(v2, v1) = v5 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp1) = v6 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v5 = 0) | ( ~ (v6 = 0) & ~ (v4 = 0))))) & ! [v2] : ! [v3] : ( ~ (leaf_occ(v3, v1) = 0) | ~ (root_occ(v2, v1) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp1) = v6 & occurrence_of(v3, tptp2) = v5 & occurrence_of(v2, tptp3) = v4 & ( ~ (v7 = 0) | ~ (v4 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) & ! [v2] : ! [v3] : ( ~ (leaf_occ(v3, v1) = 0) | ~ (occurrence_of(v2, tptp3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (root_occ(v2, v1) = v4 & min_precedes(v2, v3, tptp0) = v7 & occurrence_of(v3, tptp1) = v6 & occurrence_of(v3, tptp2) = v5 & ( ~ (v7 = 0) | ~ (v4 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0))))) & ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v3, tptp0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : (leaf_occ(v3, v1) = v8 & root_occ(v2, v1) = v5 & occurrence_of(v3, tptp1) = v7 & occurrence_of(v3, tptp2) = v6 & occurrence_of(v2, tptp3) = v4 & ( ~ (v8 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ( ~ (v7 = 0) & ~ (v6 = 0))))))) % 164.68/109.93 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (precedes(v3, v2) = v1) | ~ (precedes(v3, v2) = v0)) % 164.68/109.93 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subactivity(v3, v2) = v1) | ~ (subactivity(v3, v2) = v0)) % 164.68/109.93 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (activity(v2) = v1) | ~ (activity(v2) = v0)) % 164.68/109.93 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leaf(v3, v2) = v1) | ~ (leaf(v3, v2) = v0)) % 164.68/109.93 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atomic(v2) = v1) | ~ (atomic(v2) = v0)) % 164.68/109.93 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root(v3, v2) = v1) | ~ (root(v3, v2) = v0)) % 164.68/109.93 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (arboreal(v2) = v1) | ~ (arboreal(v2) = v0)) % 164.68/109.93 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (legal(v2) = v1) | ~ (legal(v2) = v0)) % 164.68/109.93 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (occurrence_of(v3, v2) = v1) | ~ (occurrence_of(v3, v2) = v0)) % 164.68/109.93 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (atocc(v3, v2) = v1) | ~ (atocc(v3, v2) = v0)) % 164.68/109.93 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (leaf_occ(v3, v2) = v1) | ~ (leaf_occ(v3, v2) = v0)) % 164.68/109.93 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (root_occ(v3, v2) = v1) | ~ (root_occ(v3, v2) = v0)) % 164.68/109.93 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (earlier(v3, v2) = v1) | ~ (earlier(v3, v2) = v0)) % 164.68/109.93 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (activity_occurrence(v2) = v1) | ~ (activity_occurrence(v2) = v0)) % 164.68/109.93 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subactivity_occurrence(v3, v2) = v1) | ~ (subactivity_occurrence(v3, v2) = v0)) % 164.68/109.93 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (min_precedes(v4, v3, v2) = v1) | ~ (min_precedes(v4, v3, v2) = v0)) % 164.68/109.93 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (next_subocc(v4, v3, v2) = v1) | ~ (next_subocc(v4, v3, v2) = v0)) % 164.68/109.93 | % 164.68/109.93 | Instantiating (1) with all_1_0_0 yields: % 164.68/109.93 | (19) ~ (all_1_0_0 = 0) & ~ (tptp1 = tptp2) & ~ (tptp1 = tptp4) & ~ (tptp1 = tptp3) & ~ (tptp2 = tptp4) & ~ (tptp2 = tptp3) & ~ (tptp4 = tptp3) & atomic(tptp1) = 0 & atomic(tptp2) = 0 & atomic(tptp4) = 0 & atomic(tptp3) = 0 & atomic(tptp0) = all_1_0_0 & activity(tptp0) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (subactivity_occurrence(v3, v1) = 0) | ~ (min_precedes(v3, v2, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v2, v1) = v8 & min_precedes(v2, v3, v0) = v9 & arboreal(v3) = v7 & arboreal(v2) = v6 & occurrence_of(v1, v0) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (subactivity_occurrence(v3, v1) = 0) | ~ (min_precedes(v2, v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v2, v1) = v8 & min_precedes(v3, v2, v0) = v9 & arboreal(v3) = v7 & arboreal(v2) = v6 & occurrence_of(v1, v0) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (min_precedes(v3, v2, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v3, v1) = v8 & min_precedes(v2, v3, v0) = v9 & arboreal(v3) = v7 & arboreal(v2) = v6 & occurrence_of(v1, v0) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (min_precedes(v2, v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v3, v1) = v8 & min_precedes(v3, v2, v0) = v9 & arboreal(v3) = v7 & arboreal(v2) = v6 & occurrence_of(v1, v0) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (min_precedes(v3, v2, v0) = v4) | ~ (occurrence_of(v1, v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v3, v1) = v8 & subactivity_occurrence(v2, v1) = v7 & min_precedes(v2, v3, v0) = v9 & arboreal(v3) = v6 & arboreal(v2) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (min_precedes(v2, v3, v0) = v4) | ~ (occurrence_of(v1, v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v3, v1) = v8 & subactivity_occurrence(v2, v1) = v7 & min_precedes(v3, v2, v0) = v9 & arboreal(v3) = v6 & arboreal(v2) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = v4) | ~ (subactivity(v0, v1) = 0) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & subactivity_occurrence(v5, v3) = 0 & subactivity_occurrence(v5, v2) = v6) | ? [v5] : ? [v6] : (occurrence_of(v3, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = 0) | ~ (atomic(v0) = v4) | ~ (occurrence_of(v3, v1) = 0) | ? [v5] : ? [v6] : (subactivity(v0, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = 0) | ~ (subactivity(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : (atomic(v0) = v7 & occurrence_of(v3, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v1, v3) = 0) | ~ (subactivity_occurrence(v0, v3) = v4) | ~ (occurrence_of(v3, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v0, v1, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v0, v3) = v4) | ~ (min_precedes(v0, v1, v2) = 0) | ? [v5] : ? [v6] : (subactivity_occurrence(v1, v3) = v6 & occurrence_of(v3, v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (min_precedes(v2, v0, v3) = 0) | ~ (min_precedes(v1, v2, v3) = v4) | ? [v5] : ? [v6] : (min_precedes(v1, v0, v3) = v5 & precedes(v1, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (min_precedes(v1, v2, v3) = v4) | ~ (min_precedes(v1, v0, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v0, v3) = v5 & precedes(v1, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (min_precedes(v1, v2, v3) = v4) | ~ (min_precedes(v0, v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v0, v1, v3) = v5 & precedes(v1, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (min_precedes(v1, v2, v3) = v4) | ~ (min_precedes(v0, v1, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v0, v2, v3) = v5 & precedes(v1, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (subactivity_occurrence(v3, v1) = 0) | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & arboreal(v3) = v5 & arboreal(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (subactivity_occurrence(v3, v1) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v2, v1) = v5 & min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & arboreal(v3) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (arboreal(v3) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v3, v1) = v5 & min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & arboreal(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (arboreal(v3) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v3, v1) = v5 & subactivity_occurrence(v2, v1) = v4 & min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v2, v1) = 0) | ~ (earlier(v2, v0) = v3) | ? [v4] : ? [v5] : (earlier(v0, v2) = v5 & earlier(v0, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v2, v1) = 0) | ~ (earlier(v0, v2) = v3) | ? [v4] : ? [v5] : (earlier(v2, v0) = v5 & earlier(v0, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v2, v0) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ? [v5] : (earlier(v2, v1) = v4 & earlier(v0, v2) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v0, v2) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ? [v5] : (earlier(v2, v1) = v4 & earlier(v2, v0) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subactivity_occurrence(v1, v2) = 0) | ~ (subactivity_occurrence(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subactivity_occurrence(v0, v2) = v3) | ~ (subactivity_occurrence(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (next_subocc(v0, v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & min_precedes(v0, v1, v2) = v4) | ? [v4] : (min_precedes(v4, v1, v2) = 0 & min_precedes(v0, v4, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (earlier(v1, v2) = 0) | ~ (earlier(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & earlier(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (earlier(v0, v2) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & earlier(v1, v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v3) = 0) | ~ (min_precedes(v0, v1, v2) = 0) | ? [v4] : ? [v5] : (subactivity_occurrence(v0, v3) = v5 & occurrence_of(v3, v2) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v0, v3) = 0) | ~ (min_precedes(v1, v0, v3) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & precedes(v1, v2) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v0, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & min_precedes(v1, v0, v3) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v0, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v2, v0, v3) = v4 & min_precedes(v1, v2, v3) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v2, v3) = 0) | ~ (min_precedes(v0, v1, v3) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & precedes(v1, v2) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v2, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & min_precedes(v0, v1, v3) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v1, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & min_precedes(v0, v2, v3) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & next_subocc(v0, v1, v2) = v4) | (v3 = 0 & ! [v4] : ( ~ (min_precedes(v4, v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v0, v4, v2) = v5)) & ! [v4] : ( ~ (min_precedes(v0, v4, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v4, v1, v2) = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v1, v2) = 0) | ~ (occurrence_of(v3, v2) = 0) | ? [v4] : ? [v5] : (subactivity_occurrence(v1, v3) = v4 & subactivity_occurrence(v0, v3) = v5 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (arboreal(v0) = v2) | ~ (atomic(v1) = v3) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v0, v1) = v4) | (( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (activity(v0) = v2) | ~ (activity_occurrence(v1) = v3) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v0) = v4) | (v3 = 0 & v2 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (activity_occurrence(v1) = v3) | ~ (activity_occurrence(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v0, v1) = v4) | (v3 = 0 & v2 = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (occurrence_of(v3, v1) = 0) | ~ (occurrence_of(v2, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : (subactivity_occurrence(v2, v3) = v5 & atomic(v0) = v4 & subactivity(v0, v1) = v6 & ( ~ (v5 = 0) | v6 = 0 | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (occurrence_of(v3, v1) = 0) | ~ (occurrence_of(v2, v0) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & subactivity_occurrence(v4, v3) = 0 & subactivity_occurrence(v4, v2) = v5) | ? [v4] : ? [v5] : (subactivity_occurrence(v2, v3) = v5 & subactivity(v0, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (occurrence_of(v0, v2) = 0) | ~ (occurrence_of(v0, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (earlier(v2, v1) = 0) | ~ (earlier(v0, v1) = 0) | ? [v3] : ? [v4] : (earlier(v2, v0) = v3 & earlier(v0, v2) = v4 & (v4 = 0 | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leaf_occ(v0, v1) = v2) | ? [v3] : (subactivity_occurrence(v0, v1) = v3 & ! [v4] : ( ~ (v3 = 0) | ~ (leaf(v0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v4) = v5)) & ! [v4] : ( ~ (v3 = 0) | ~ (occurrence_of(v1, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leaf(v0, v4) = v5)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (root_occ(v0, v1) = v2) | ? [v3] : (subactivity_occurrence(v0, v1) = v3 & ! [v4] : ( ~ (v3 = 0) | ~ (root(v0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v4) = v5)) & ! [v4] : ( ~ (v3 = 0) | ~ (occurrence_of(v1, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & root(v0, v4) = v5)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leaf(v0, v1) = v2) | ? [v3] : min_precedes(v0, v3, v1) = 0 | ( ! [v3] : ~ (min_precedes(v3, v0, v1) = 0) & ? [v3] : ( ~ (v3 = 0) & root(v0, v1) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (root(v0, v1) = v2) | ? [v3] : ? [v4] : (atocc(v0, v1) = v3 & legal(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (atocc(v0, v1) = v2) | ( ! [v3] : ( ~ (atomic(v3) = 0) | ? [v4] : ? [v5] : (subactivity(v1, v3) = v4 & occurrence_of(v0, v3) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v3] : ( ~ (subactivity(v1, v3) = 0) | ? [v4] : ? [v5] : (atomic(v3) = v4 & occurrence_of(v0, v3) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v3] : ( ~ (occurrence_of(v0, v3) = 0) | ? [v4] : ? [v5] : (atomic(v3) = v5 & subactivity(v1, v3) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (precedes(v0, v1) = v2) | ? [v3] : ? [v4] : (legal(v1) = v4 & earlier(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (legal(v1) = v2) | ~ (legal(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & earlier(v1, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v1, v2) = 0) | ~ (subactivity_occurrence(v0, v1) = 0) | subactivity_occurrence(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v0, v1) = v2) | leaf_occ(v0, v1) = 0 | ( ! [v3] : ( ~ (v2 = 0) | ~ (leaf(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v3) = v4)) & ! [v3] : ( ~ (v2 = 0) | ~ (occurrence_of(v1, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & leaf(v0, v3) = v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v0, v1) = v2) | root_occ(v0, v1) = 0 | ( ! [v3] : ( ~ (v2 = 0) | ~ (root(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v3) = v4)) & ! [v3] : ( ~ (v2 = 0) | ~ (occurrence_of(v1, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & root(v0, v3) = v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v0, v1) = v2) | ? [v3] : (v2 = 0 & leaf(v0, v3) = 0 & occurrence_of(v1, v3) = 0) | ? [v3] : ( ~ (v3 = 0) & leaf_occ(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v0, v1) = v2) | ? [v3] : (v2 = 0 & root(v0, v3) = 0 & occurrence_of(v1, v3) = 0) | ? [v3] : ( ~ (v3 = 0) & root_occ(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (next_subocc(v0, v1, v2) = 0) | (min_precedes(v0, v1, v2) = 0 & ! [v3] : ( ~ (min_precedes(v3, v1, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & min_precedes(v0, v3, v2) = v4)) & ! [v3] : ( ~ (min_precedes(v0, v3, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & min_precedes(v3, v1, v2) = v4)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (root(v0, v1) = v2) | leaf(v0, v1) = 0 | ? [v3] : min_precedes(v0, v3, v1) = 0 | ( ~ (v2 = 0) & ! [v3] : ~ (min_precedes(v3, v0, v1) = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (root(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leaf(v0, v1) = v3) | ( ! [v3] : ~ (min_precedes(v0, v3, v1) = 0) & (v2 = 0 | ? [v3] : min_precedes(v3, v0, v1) = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, v0) = 0) | ? [v3] : ? [v4] : (atocc(v2, v4) = 0 & atocc(v1, v3) = 0 & subactivity(v4, v0) = 0 & subactivity(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, v0) = 0) | ? [v3] : (subactivity_occurrence(v2, v3) = 0 & subactivity_occurrence(v1, v3) = 0 & occurrence_of(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | next_subocc(v0, v1, v2) = 0 | ? [v3] : (min_precedes(v3, v1, v2) = 0 & min_precedes(v0, v3, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | precedes(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & root(v1, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & atomic(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : (root(v3, v2) = 0 & min_precedes(v3, v1, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (earlier(v1, v2) = 0) | ~ (earlier(v0, v1) = 0) | earlier(v0, v2) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (earlier(v0, v1) = v2) | ? [v3] : ? [v4] : (precedes(v0, v1) = v3 & legal(v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (arboreal(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & legal(v0) = v2)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subactivity(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & activity(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (leaf_occ(v0, v1) = 0) | ? [v2] : (subactivity_occurrence(v0, v1) = v2 & ? [v3] : (v2 = 0 & leaf(v0, v3) = 0 & occurrence_of(v1, v3) = 0))) & ! [v0] : ! [v1] : ( ~ (root_occ(v0, v1) = 0) | ? [v2] : (subactivity_occurrence(v0, v1) = v2 & ? [v3] : (v2 = 0 & root(v0, v3) = 0 & occurrence_of(v1, v3) = 0))) & ! [v0] : ! [v1] : ( ~ (subactivity_occurrence(v0, v1) = 0) | (activity_occurrence(v1) = 0 & activity_occurrence(v0) = 0)) & ! [v0] : ! [v1] : ( ~ (leaf(v0, v1) = 0) | ( ! [v2] : ~ (min_precedes(v0, v2, v1) = 0) & (root(v0, v1) = 0 | ? [v2] : min_precedes(v2, v0, v1) = 0))) & ! [v0] : ! [v1] : ( ~ (root(v1, v0) = 0) | atomic(v0) = 0 | ? [v2] : (subactivity_occurrence(v1, v2) = 0 & occurrence_of(v2, v0) = 0)) & ! [v0] : ! [v1] : ( ~ (root(v1, v0) = 0) | ? [v2] : (atocc(v1, v2) = 0 & subactivity(v2, v0) = 0)) & ! [v0] : ! [v1] : ( ~ (root(v0, v1) = 0) | legal(v0) = 0) & ! [v0] : ! [v1] : ( ~ (atocc(v0, v1) = 0) | ? [v2] : ? [v3] : (root(v0, v1) = v3 & legal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (atocc(v0, v1) = 0) | ? [v2] : (atomic(v2) = 0 & subactivity(v1, v2) = 0 & occurrence_of(v0, v2) = 0)) & ! [v0] : ! [v1] : ( ~ (precedes(v0, v1) = 0) | (legal(v1) = 0 & earlier(v0, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (earlier(v1, v0) = 0) | ? [v2] : ? [v3] : (legal(v1) = v3 & legal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (earlier(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & earlier(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (earlier(v0, v1) = 0) | ? [v2] : ? [v3] : (precedes(v0, v1) = v3 & legal(v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ( ~ (earlier(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & earlier(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (occurrence_of(v1, v0) = 0) | atomic(v0) = 0 | ? [v2] : (subactivity_occurrence(v2, v1) = 0 & root(v2, v0) = 0)) & ! [v0] : ! [v1] : ( ~ (occurrence_of(v1, v0) = 0) | (activity(v0) = 0 & activity_occurrence(v1) = 0)) & ! [v0] : ! [v1] : ( ~ (occurrence_of(v0, v1) = 0) | ? [v2] : ? [v3] : (arboreal(v0) = v2 & atomic(v1) = v3 & ( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 = 0))) & ! [v0] : ( ~ (legal(v0) = 0) | arboreal(v0) = 0) & ! [v0] : ( ~ (activity(v0) = 0) | subactivity(v0, v0) = 0) & ! [v0] : ( ~ (activity_occurrence(v0) = 0) | ? [v1] : (activity(v1) = 0 & occurrence_of(v0, v1) = 0)) & ! [v0] : ( ~ (occurrence_of(v0, tptp0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (leaf_occ(v3, v0) = 0 & root_occ(v1, v0) = 0 & next_subocc(v2, v3, tptp0) = 0 & next_subocc(v1, v2, tptp0) = 0 & occurrence_of(v3, tptp1) = v5 & occurrence_of(v3, tptp2) = v4 & occurrence_of(v2, tptp4) = 0 & occurrence_of(v1, tptp3) = 0 & (v5 = 0 | v4 = 0))) & ? [v0] : (occurrence_of(v0, tptp0) = 0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (root_occ(v1, v0) = 0) | ~ (occurrence_of(v2, tptp1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp2) = v5 & occurrence_of(v1, tptp3) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (root_occ(v1, v0) = 0) | ~ (occurrence_of(v2, tptp2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp1) = v5 & occurrence_of(v1, tptp3) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (occurrence_of(v2, tptp1) = v3) | ~ (occurrence_of(v1, tptp3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & root_occ(v1, v0) = v4 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp2) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (occurrence_of(v2, tptp2) = v3) | ~ (occurrence_of(v1, tptp3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & root_occ(v1, v0) = v4 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp1) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0))))) & ! [v1] : ! [v2] : ( ~ (leaf_occ(v2, v0) = 0) | ~ (root_occ(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp1) = v5 & occurrence_of(v2, tptp2) = v4 & occurrence_of(v1, tptp3) = v3 & ( ~ (v6 = 0) | ~ (v3 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v1] : ! [v2] : ( ~ (leaf_occ(v2, v0) = 0) | ~ (occurrence_of(v1, tptp3) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (root_occ(v1, v0) = v3 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp1) = v5 & occurrence_of(v2, tptp2) = v4 & ( ~ (v6 = 0) | ~ (v3 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, tptp0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & root_occ(v1, v0) = v4 & occurrence_of(v2, tptp1) = v6 & occurrence_of(v2, tptp2) = v5 & occurrence_of(v1, tptp3) = v3 & ( ~ (v7 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0)))))) % 164.68/109.96 | % 164.68/109.96 | Applying alpha-rule on (19) yields: % 164.68/109.96 | (20) ! [v0] : ! [v1] : ( ~ (root(v1, v0) = 0) | atomic(v0) = 0 | ? [v2] : (subactivity_occurrence(v1, v2) = 0 & occurrence_of(v2, v0) = 0)) % 164.68/109.96 | (21) ! [v0] : ! [v1] : ( ~ (root_occ(v0, v1) = 0) | ? [v2] : (subactivity_occurrence(v0, v1) = v2 & ? [v3] : (v2 = 0 & root(v0, v3) = 0 & occurrence_of(v1, v3) = 0))) % 164.68/109.96 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & root(v1, v2) = v3)) % 164.68/109.96 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (min_precedes(v1, v2, v3) = v4) | ~ (min_precedes(v1, v0, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v2, v0, v3) = v5 & precedes(v1, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 164.68/109.96 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v0, v3) = 0) | ~ (min_precedes(v1, v0, v3) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & precedes(v1, v2) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 164.68/109.96 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v0, v3) = v4) | ~ (min_precedes(v0, v1, v2) = 0) | ? [v5] : ? [v6] : (subactivity_occurrence(v1, v3) = v6 & occurrence_of(v3, v2) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 164.68/109.97 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (min_precedes(v1, v2, v3) = v4) | ~ (min_precedes(v0, v1, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v0, v2, v3) = v5 & precedes(v1, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 164.68/109.97 | (27) ~ (all_1_0_0 = 0) % 164.68/109.97 | (28) atomic(tptp3) = 0 % 164.68/109.97 | (29) ~ (tptp1 = tptp3) % 164.68/109.97 | (30) ! [v0] : ! [v1] : ( ~ (earlier(v0, v1) = 0) | ? [v2] : ? [v3] : (precedes(v0, v1) = v3 & legal(v1) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 164.68/109.97 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v2, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & min_precedes(v0, v1, v3) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 164.68/109.97 | (32) ! [v0] : ! [v1] : ( ~ (earlier(v1, v0) = 0) | ? [v2] : ? [v3] : (legal(v1) = v3 & legal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 164.68/109.97 | (33) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (earlier(v2, v1) = 0) | ~ (earlier(v0, v1) = 0) | ? [v3] : ? [v4] : (earlier(v2, v0) = v3 & earlier(v0, v2) = v4 & (v4 = 0 | v3 = 0))) % 164.68/109.97 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subactivity_occurrence(v1, v2) = 0) | ~ (subactivity_occurrence(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v0, v1) = v4)) % 164.68/109.97 | (35) ~ (tptp1 = tptp2) % 164.68/109.97 | (36) ~ (tptp2 = tptp3) % 164.68/109.97 | (37) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (root_occ(v0, v1) = v2) | ? [v3] : (subactivity_occurrence(v0, v1) = v3 & ! [v4] : ( ~ (v3 = 0) | ~ (root(v0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v4) = v5)) & ! [v4] : ( ~ (v3 = 0) | ~ (occurrence_of(v1, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & root(v0, v4) = v5)))) % 164.68/109.97 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (subactivity_occurrence(v3, v1) = 0) | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & arboreal(v3) = v5 & arboreal(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0))) % 164.68/109.97 | (39) ~ (tptp4 = tptp3) % 164.68/109.97 | (40) ! [v0] : ( ~ (activity_occurrence(v0) = 0) | ? [v1] : (activity(v1) = 0 & occurrence_of(v0, v1) = 0)) % 164.68/109.97 | (41) atomic(tptp0) = all_1_0_0 % 164.68/109.97 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (activity(v0) = v2) | ~ (activity_occurrence(v1) = v3) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v0) = v4) | (v3 = 0 & v2 = 0)) % 164.68/109.97 | (43) ! [v0] : ! [v1] : ( ~ (leaf_occ(v0, v1) = 0) | ? [v2] : (subactivity_occurrence(v0, v1) = v2 & ? [v3] : (v2 = 0 & leaf(v0, v3) = 0 & occurrence_of(v1, v3) = 0))) % 164.68/109.97 | (44) ! [v0] : ! [v1] : ( ~ (occurrence_of(v1, v0) = 0) | atomic(v0) = 0 | ? [v2] : (subactivity_occurrence(v2, v1) = 0 & root(v2, v0) = 0)) % 164.68/109.97 | (45) ! [v0] : ( ~ (activity(v0) = 0) | subactivity(v0, v0) = 0) % 164.68/109.97 | (46) ~ (tptp1 = tptp4) % 164.68/109.97 | (47) atomic(tptp4) = 0 % 164.68/109.97 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (earlier(v1, v2) = 0) | ~ (earlier(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & earlier(v0, v1) = v4)) % 164.68/109.97 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (subactivity_occurrence(v1, v3) = 0) | ~ (min_precedes(v0, v1, v2) = 0) | ? [v4] : ? [v5] : (subactivity_occurrence(v0, v3) = v5 & occurrence_of(v3, v2) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 164.68/109.97 | (50) ! [v0] : ( ~ (occurrence_of(v0, tptp0) = 0) | ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : (leaf_occ(v3, v0) = 0 & root_occ(v1, v0) = 0 & next_subocc(v2, v3, tptp0) = 0 & next_subocc(v1, v2, tptp0) = 0 & occurrence_of(v3, tptp1) = v5 & occurrence_of(v3, tptp2) = v4 & occurrence_of(v2, tptp4) = 0 & occurrence_of(v1, tptp3) = 0 & (v5 = 0 | v4 = 0))) % 164.68/109.97 | (51) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : (root(v3, v2) = 0 & min_precedes(v3, v1, v2) = 0)) % 164.68/109.97 | (52) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leaf(v0, v1) = v2) | ? [v3] : min_precedes(v0, v3, v1) = 0 | ( ! [v3] : ~ (min_precedes(v3, v0, v1) = 0) & ? [v3] : ( ~ (v3 = 0) & root(v0, v1) = v3))) % 164.68/109.97 | (53) ! [v0] : ! [v1] : ( ~ (occurrence_of(v0, v1) = 0) | ? [v2] : ? [v3] : (arboreal(v0) = v2 & atomic(v1) = v3 & ( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 = 0))) % 164.68/109.97 | (54) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (leaf_occ(v0, v1) = v2) | ? [v3] : (subactivity_occurrence(v0, v1) = v3 & ! [v4] : ( ~ (v3 = 0) | ~ (leaf(v0, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & occurrence_of(v1, v4) = v5)) & ! [v4] : ( ~ (v3 = 0) | ~ (occurrence_of(v1, v4) = 0) | ? [v5] : ( ~ (v5 = 0) & leaf(v0, v4) = v5)))) % 164.68/109.97 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (arboreal(v3) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v3, v1) = v5 & subactivity_occurrence(v2, v1) = v4 & min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0))) % 164.68/109.97 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (activity_occurrence(v1) = v3) | ~ (activity_occurrence(v0) = v2) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v0, v1) = v4) | (v3 = 0 & v2 = 0)) % 164.68/109.97 | (57) ! [v0] : ! [v1] : ! [v2] : ( ~ (next_subocc(v0, v1, v2) = 0) | (min_precedes(v0, v1, v2) = 0 & ! [v3] : ( ~ (min_precedes(v3, v1, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & min_precedes(v0, v3, v2) = v4)) & ! [v3] : ( ~ (min_precedes(v0, v3, v2) = 0) | ? [v4] : ( ~ (v4 = 0) & min_precedes(v3, v1, v2) = v4)))) % 164.68/109.97 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subactivity_occurrence(v0, v2) = v3) | ~ (subactivity_occurrence(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & subactivity_occurrence(v1, v2) = v4)) % 164.68/109.97 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ (earlier(v0, v1) = v2) | ? [v3] : ? [v4] : (precedes(v0, v1) = v3 & legal(v1) = v4 & ( ~ (v3 = 0) | (v4 = 0 & v2 = 0)))) % 164.68/109.97 | (60) ! [v0] : ! [v1] : ( ~ (earlier(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & earlier(v0, v1) = v2)) % 164.68/109.97 | (61) ! [v0] : ! [v1] : ! [v2] : ( ~ (earlier(v1, v2) = 0) | ~ (earlier(v0, v1) = 0) | earlier(v0, v2) = 0) % 164.68/109.97 | (62) ? [v0] : (occurrence_of(v0, tptp0) = 0 & ! [v1] : ! [v2] : ! [v3] : ( ~ (root_occ(v1, v0) = 0) | ~ (occurrence_of(v2, tptp1) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp2) = v5 & occurrence_of(v1, tptp3) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (root_occ(v1, v0) = 0) | ~ (occurrence_of(v2, tptp2) = v3) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp1) = v5 & occurrence_of(v1, tptp3) = v4 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (occurrence_of(v2, tptp1) = v3) | ~ (occurrence_of(v1, tptp3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & root_occ(v1, v0) = v4 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp2) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0))))) & ! [v1] : ! [v2] : ! [v3] : ( ~ (occurrence_of(v2, tptp2) = v3) | ~ (occurrence_of(v1, tptp3) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & root_occ(v1, v0) = v4 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp1) = v5 & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v4 = 0) | ( ~ (v5 = 0) & ~ (v3 = 0))))) & ! [v1] : ! [v2] : ( ~ (leaf_occ(v2, v0) = 0) | ~ (root_occ(v1, v0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp1) = v5 & occurrence_of(v2, tptp2) = v4 & occurrence_of(v1, tptp3) = v3 & ( ~ (v6 = 0) | ~ (v3 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v1] : ! [v2] : ( ~ (leaf_occ(v2, v0) = 0) | ~ (occurrence_of(v1, tptp3) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (root_occ(v1, v0) = v3 & min_precedes(v1, v2, tptp0) = v6 & occurrence_of(v2, tptp1) = v5 & occurrence_of(v2, tptp2) = v4 & ( ~ (v6 = 0) | ~ (v3 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) & ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, tptp0) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (leaf_occ(v2, v0) = v7 & root_occ(v1, v0) = v4 & occurrence_of(v2, tptp1) = v6 & occurrence_of(v2, tptp2) = v5 & occurrence_of(v1, tptp3) = v3 & ( ~ (v7 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | ( ~ (v6 = 0) & ~ (v5 = 0)))))) % 164.68/109.98 | (63) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (arboreal(v3) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v3, v1) = v5 & min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & arboreal(v2) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0))) % 164.68/109.98 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (earlier(v0, v2) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & earlier(v1, v2) = v4)) % 164.68/109.98 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = v4) | ~ (subactivity(v0, v1) = 0) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & subactivity_occurrence(v5, v3) = 0 & subactivity_occurrence(v5, v2) = v6) | ? [v5] : ? [v6] : (occurrence_of(v3, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 164.68/109.98 | (66) atomic(tptp2) = 0 % 164.68/109.98 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (next_subocc(v0, v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & min_precedes(v0, v1, v2) = v4) | ? [v4] : (min_precedes(v4, v1, v2) = 0 & min_precedes(v0, v4, v2) = 0)) % 164.68/109.98 | (68) ! [v0] : ! [v1] : ( ~ (precedes(v0, v1) = 0) | (legal(v1) = 0 & earlier(v0, v1) = 0)) % 164.68/109.98 | (69) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (precedes(v0, v1) = v2) | ? [v3] : ? [v4] : (legal(v1) = v4 & earlier(v0, v1) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 164.68/109.98 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (occurrence_of(v3, v1) = 0) | ~ (occurrence_of(v2, v0) = 0) | ? [v4] : ? [v5] : ( ~ (v5 = 0) & subactivity_occurrence(v4, v3) = 0 & subactivity_occurrence(v4, v2) = v5) | ? [v4] : ? [v5] : (subactivity_occurrence(v2, v3) = v5 & subactivity(v0, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 164.68/109.98 | (71) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v2, v1) = 0) | ~ (earlier(v0, v2) = v3) | ? [v4] : ? [v5] : (earlier(v2, v0) = v5 & earlier(v0, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 164.68/109.98 | (72) ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v0, v1) = v2) | ? [v3] : (v2 = 0 & root(v0, v3) = 0 & occurrence_of(v1, v3) = 0) | ? [v3] : ( ~ (v3 = 0) & root_occ(v0, v1) = v3)) % 164.68/109.98 | (73) ! [v0] : ! [v1] : ( ~ (occurrence_of(v1, v0) = 0) | (activity(v0) = 0 & activity_occurrence(v1) = 0)) % 164.68/109.98 | (74) ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v0, v1) = v2) | leaf_occ(v0, v1) = 0 | ( ! [v3] : ( ~ (v2 = 0) | ~ (leaf(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v3) = v4)) & ! [v3] : ( ~ (v2 = 0) | ~ (occurrence_of(v1, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & leaf(v0, v3) = v4)))) % 164.68/109.98 | (75) ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v1, v2) = 0) | ~ (subactivity_occurrence(v0, v1) = 0) | subactivity_occurrence(v0, v2) = 0) % 164.68/109.98 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | ? [v3] : ( ~ (v3 = 0) & atomic(v2) = v3)) % 164.68/109.98 | (77) atomic(tptp1) = 0 % 164.68/109.98 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (min_precedes(v2, v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v3, v1) = v8 & min_precedes(v3, v2, v0) = v9 & arboreal(v3) = v7 & arboreal(v2) = v6 & occurrence_of(v1, v0) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) % 164.68/109.98 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (min_precedes(v2, v3, v0) = v4) | ~ (occurrence_of(v1, v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v3, v1) = v8 & subactivity_occurrence(v2, v1) = v7 & min_precedes(v3, v2, v0) = v9 & arboreal(v3) = v6 & arboreal(v2) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) % 164.68/109.98 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (root(v0, v1) = v2) | leaf(v0, v1) = 0 | ? [v3] : min_precedes(v0, v3, v1) = 0 | ( ~ (v2 = 0) & ! [v3] : ~ (min_precedes(v3, v0, v1) = 0))) % 164.68/109.98 | (81) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, v0) = 0) | ? [v3] : (subactivity_occurrence(v2, v3) = 0 & subactivity_occurrence(v1, v3) = 0 & occurrence_of(v3, v0) = 0)) % 165.11/109.98 | (82) activity(tptp0) = 0 % 165.11/109.98 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (subactivity_occurrence(v3, v1) = 0) | ~ (min_precedes(v2, v3, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v2, v1) = v8 & min_precedes(v3, v2, v0) = v9 & arboreal(v3) = v7 & arboreal(v2) = v6 & occurrence_of(v1, v0) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) % 165.11/109.98 | (84) ! [v0] : ! [v1] : ( ~ (atocc(v0, v1) = 0) | ? [v2] : (atomic(v2) = 0 & subactivity(v1, v2) = 0 & occurrence_of(v0, v2) = 0)) % 165.11/109.98 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (subactivity_occurrence(v3, v1) = 0) | ~ (arboreal(v2) = 0) | ~ (occurrence_of(v1, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : ? [v7] : (subactivity_occurrence(v2, v1) = v5 & min_precedes(v3, v2, v0) = v7 & min_precedes(v2, v3, v0) = v6 & arboreal(v3) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0) | v7 = 0 | v6 = 0))) % 165.11/109.98 | (86) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v1, v3) = 0) | ~ (subactivity_occurrence(v0, v3) = v4) | ~ (occurrence_of(v3, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v0, v1, v2) = v5)) % 165.11/109.98 | (87) ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v0, v1) = v2) | root_occ(v0, v1) = 0 | ( ! [v3] : ( ~ (v2 = 0) | ~ (root(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v1, v3) = v4)) & ! [v3] : ( ~ (v2 = 0) | ~ (occurrence_of(v1, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & root(v0, v3) = v4)))) % 165.11/109.98 | (88) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | next_subocc(v0, v1, v2) = 0 | ? [v3] : (min_precedes(v3, v1, v2) = 0 & min_precedes(v0, v3, v2) = 0)) % 165.11/109.98 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (subactivity_occurrence(v2, v1) = 0) | ~ (min_precedes(v3, v2, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v3, v1) = v8 & min_precedes(v2, v3, v0) = v9 & arboreal(v3) = v7 & arboreal(v2) = v6 & occurrence_of(v1, v0) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) % 165.12/109.98 | (90) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (min_precedes(v2, v0, v3) = 0) | ~ (min_precedes(v1, v2, v3) = v4) | ? [v5] : ? [v6] : (min_precedes(v1, v0, v3) = v5 & precedes(v1, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 165.12/109.99 | (91) ! [v0] : ! [v1] : ( ~ (atocc(v0, v1) = 0) | ? [v2] : ? [v3] : (root(v0, v1) = v3 & legal(v0) = v2 & ( ~ (v2 = 0) | v3 = 0))) % 165.12/109.99 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = 0) | ~ (subactivity(v0, v1) = v4) | ? [v5] : ? [v6] : ? [v7] : (atomic(v0) = v7 & occurrence_of(v3, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v6 = 0) | ~ (v5 = 0) | v7 = 0))) % 165.12/109.99 | (93) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (min_precedes(v1, v2, v3) = v4) | ~ (min_precedes(v0, v2, v3) = 0) | ? [v5] : ? [v6] : (min_precedes(v0, v1, v3) = v5 & precedes(v1, v2) = v6 & ( ~ (v6 = 0) | ~ (v5 = 0)))) % 165.12/109.99 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (occurrence_of(v3, v1) = 0) | ~ (occurrence_of(v2, v0) = 0) | ? [v4] : ? [v5] : ? [v6] : (subactivity_occurrence(v2, v3) = v5 & atomic(v0) = v4 & subactivity(v0, v1) = v6 & ( ~ (v5 = 0) | v6 = 0 | v4 = 0))) % 165.12/109.99 | (95) ! [v0] : ! [v1] : ( ~ (leaf(v0, v1) = 0) | ( ! [v2] : ~ (min_precedes(v0, v2, v1) = 0) & (root(v0, v1) = 0 | ? [v2] : min_precedes(v2, v0, v1) = 0))) % 165.12/109.99 | (96) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v1, v2, v0) = 0) | ? [v3] : ? [v4] : (atocc(v2, v4) = 0 & atocc(v1, v3) = 0 & subactivity(v4, v0) = 0 & subactivity(v3, v0) = 0)) % 165.12/109.99 | (97) ! [v0] : ! [v1] : ! [v2] : ( ~ (root(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & leaf(v0, v1) = v3) | ( ! [v3] : ~ (min_precedes(v0, v3, v1) = 0) & (v2 = 0 | ? [v3] : min_precedes(v3, v0, v1) = 0))) % 165.12/109.99 | (98) ! [v0] : ( ~ (legal(v0) = 0) | arboreal(v0) = 0) % 165.12/109.99 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v1, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & min_precedes(v0, v2, v3) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 165.12/109.99 | (100) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (root(v0, v1) = v2) | ? [v3] : ? [v4] : (atocc(v0, v1) = v3 & legal(v0) = v4 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 165.12/109.99 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v1, v0, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v2, v0, v3) = v4 & min_precedes(v1, v2, v3) = v5 & ( ~ (v4 = 0) | v5 = 0))) % 165.12/109.99 | (102) ! [v0] : ! [v1] : ! [v2] : ( ~ (min_precedes(v0, v1, v2) = 0) | precedes(v0, v1) = 0) % 165.12/109.99 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v1, v2) = 0) | ~ (occurrence_of(v3, v2) = 0) | ? [v4] : ? [v5] : (subactivity_occurrence(v1, v3) = v4 & subactivity_occurrence(v0, v3) = v5 & ( ~ (v4 = 0) | v5 = 0))) % 165.12/109.99 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (arboreal(v0) = v2) | ~ (atomic(v1) = v3) | ? [v4] : ( ~ (v4 = 0) & occurrence_of(v0, v1) = v4) | (( ~ (v3 = 0) | v2 = 0) & ( ~ (v2 = 0) | v3 = 0))) % 165.12/109.99 | (105) ! [v0] : ! [v1] : ( ~ (earlier(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & earlier(v1, v0) = v2)) % 165.12/109.99 | (106) ! [v0] : ! [v1] : ( ~ (root(v1, v0) = 0) | ? [v2] : (atocc(v1, v2) = 0 & subactivity(v2, v0) = 0)) % 165.12/109.99 | (107) ! [v0] : ! [v1] : (v1 = 0 | ~ (subactivity(v0, v0) = v1) | ? [v2] : ( ~ (v2 = 0) & activity(v0) = v2)) % 165.12/109.99 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (subactivity_occurrence(v3, v1) = 0) | ~ (min_precedes(v3, v2, v0) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v2, v1) = v8 & min_precedes(v2, v3, v0) = v9 & arboreal(v3) = v7 & arboreal(v2) = v6 & occurrence_of(v1, v0) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) % 165.12/109.99 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v2, v0, v3) = 0) | ~ (precedes(v1, v2) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & min_precedes(v1, v0, v3) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 165.12/109.99 | (110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v0, v2) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ? [v5] : (earlier(v2, v1) = v4 & earlier(v2, v0) = v5 & ( ~ (v4 = 0) | v5 = 0))) % 165.12/109.99 | (111) ! [v0] : ! [v1] : ! [v2] : ( ~ (subactivity_occurrence(v0, v1) = v2) | ? [v3] : (v2 = 0 & leaf(v0, v3) = 0 & occurrence_of(v1, v3) = 0) | ? [v3] : ( ~ (v3 = 0) & leaf_occ(v0, v1) = v3)) % 165.12/109.99 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v1, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & next_subocc(v0, v1, v2) = v4) | (v3 = 0 & ! [v4] : ( ~ (min_precedes(v4, v1, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v0, v4, v2) = v5)) & ! [v4] : ( ~ (min_precedes(v0, v4, v2) = 0) | ? [v5] : ( ~ (v5 = 0) & min_precedes(v4, v1, v2) = v5)))) % 165.12/109.99 | (113) ! [v0] : ! [v1] : (v1 = 0 | ~ (arboreal(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & legal(v0) = v2)) % 165.12/109.99 | (114) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (atocc(v0, v1) = v2) | ( ! [v3] : ( ~ (atomic(v3) = 0) | ? [v4] : ? [v5] : (subactivity(v1, v3) = v4 & occurrence_of(v0, v3) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v3] : ( ~ (subactivity(v1, v3) = 0) | ? [v4] : ? [v5] : (atomic(v3) = v4 & occurrence_of(v0, v3) = v5 & ( ~ (v5 = 0) | ~ (v4 = 0)))) & ! [v3] : ( ~ (occurrence_of(v0, v3) = 0) | ? [v4] : ? [v5] : (atomic(v3) = v5 & subactivity(v1, v3) = v4 & ( ~ (v5 = 0) | ~ (v4 = 0)))))) % 165.12/109.99 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | v3 = v2 | ~ (min_precedes(v3, v2, v0) = v4) | ~ (occurrence_of(v1, v0) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (subactivity_occurrence(v3, v1) = v8 & subactivity_occurrence(v2, v1) = v7 & min_precedes(v2, v3, v0) = v9 & arboreal(v3) = v6 & arboreal(v2) = v5 & ( ~ (v8 = 0) | ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | v9 = 0))) % 165.12/109.99 | (116) ~ (tptp2 = tptp4) % 165.12/109.99 | (117) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (legal(v1) = v2) | ~ (legal(v0) = 0) | ? [v3] : ( ~ (v3 = 0) & earlier(v1, v0) = v3)) % 165.12/109.99 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v2, v1) = 0) | ~ (earlier(v2, v0) = v3) | ? [v4] : ? [v5] : (earlier(v0, v2) = v5 & earlier(v0, v1) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 165.12/109.99 | (119) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (occurrence_of(v0, v2) = 0) | ~ (occurrence_of(v0, v1) = 0)) % 165.12/109.99 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (subactivity_occurrence(v2, v3) = 0) | ~ (atomic(v0) = v4) | ~ (occurrence_of(v3, v1) = 0) | ? [v5] : ? [v6] : (subactivity(v0, v1) = v6 & occurrence_of(v2, v0) = v5 & ( ~ (v5 = 0) | v6 = 0))) % 165.12/109.99 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v2 = v0 | ~ (earlier(v2, v0) = v3) | ~ (earlier(v0, v1) = 0) | ? [v4] : ? [v5] : (earlier(v2, v1) = v4 & earlier(v0, v2) = v5 & ( ~ (v4 = 0) | v5 = 0))) % 165.12/109.99 | (122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (min_precedes(v0, v2, v3) = 0) | ~ (min_precedes(v0, v1, v3) = 0) | ? [v4] : ? [v5] : (min_precedes(v1, v2, v3) = v5 & precedes(v1, v2) = v4 & ( ~ (v4 = 0) | v5 = 0))) % 165.12/109.99 | (123) ! [v0] : ! [v1] : ( ~ (subactivity_occurrence(v0, v1) = 0) | (activity_occurrence(v1) = 0 & activity_occurrence(v0) = 0)) % 165.12/109.99 | (124) ! [v0] : ! [v1] : ( ~ (root(v0, v1) = 0) | legal(v0) = 0) % 165.12/109.99 | % 165.12/109.99 | Instantiating (62) with all_4_0_1 yields: % 165.12/109.99 | (125) occurrence_of(all_4_0_1, tptp0) = 0 & ! [v0] : ! [v1] : ! [v2] : ( ~ (root_occ(v0, all_4_0_1) = 0) | ~ (occurrence_of(v1, tptp1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp2) = v4 & occurrence_of(v0, tptp3) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v4 = 0) & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (root_occ(v0, all_4_0_1) = 0) | ~ (occurrence_of(v1, tptp2) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp1) = v4 & occurrence_of(v0, tptp3) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v4 = 0) & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (occurrence_of(v1, tptp1) = v2) | ~ (occurrence_of(v0, tptp3) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & root_occ(v0, all_4_0_1) = v3 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp2) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v4 = 0) & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (occurrence_of(v1, tptp2) = v2) | ~ (occurrence_of(v0, tptp3) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & root_occ(v0, all_4_0_1) = v3 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp1) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v4 = 0) & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ( ~ (leaf_occ(v1, all_4_0_1) = 0) | ~ (root_occ(v0, all_4_0_1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp1) = v4 & occurrence_of(v1, tptp2) = v3 & occurrence_of(v0, tptp3) = v2 & ( ~ (v5 = 0) | ~ (v2 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ( ~ (leaf_occ(v1, all_4_0_1) = 0) | ~ (occurrence_of(v0, tptp3) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (root_occ(v0, all_4_0_1) = v2 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp1) = v4 & occurrence_of(v1, tptp2) = v3 & ( ~ (v5 = 0) | ~ (v2 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))) & ! [v0] : ! [v1] : ( ~ (min_precedes(v0, v1, tptp0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & root_occ(v0, all_4_0_1) = v3 & occurrence_of(v1, tptp1) = v5 & occurrence_of(v1, tptp2) = v4 & occurrence_of(v0, tptp3) = v2 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) % 165.12/110.00 | % 165.12/110.00 | Applying alpha-rule on (125) yields: % 165.12/110.00 | (126) ! [v0] : ! [v1] : ! [v2] : ( ~ (occurrence_of(v1, tptp2) = v2) | ~ (occurrence_of(v0, tptp3) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & root_occ(v0, all_4_0_1) = v3 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp1) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v4 = 0) & ~ (v2 = 0))))) % 165.12/110.00 | (127) ! [v0] : ! [v1] : ! [v2] : ( ~ (root_occ(v0, all_4_0_1) = 0) | ~ (occurrence_of(v1, tptp1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp2) = v4 & occurrence_of(v0, tptp3) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v4 = 0) & ~ (v2 = 0))))) % 165.12/110.00 | (128) ! [v0] : ! [v1] : ( ~ (leaf_occ(v1, all_4_0_1) = 0) | ~ (root_occ(v0, all_4_0_1) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp1) = v4 & occurrence_of(v1, tptp2) = v3 & occurrence_of(v0, tptp3) = v2 & ( ~ (v5 = 0) | ~ (v2 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))) % 165.12/110.00 | (129) ! [v0] : ! [v1] : ( ~ (min_precedes(v0, v1, tptp0) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & root_occ(v0, all_4_0_1) = v3 & occurrence_of(v1, tptp1) = v5 & occurrence_of(v1, tptp2) = v4 & occurrence_of(v0, tptp3) = v2 & ( ~ (v6 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | ( ~ (v5 = 0) & ~ (v4 = 0))))) % 165.12/110.00 | (130) ! [v0] : ! [v1] : ! [v2] : ( ~ (occurrence_of(v1, tptp1) = v2) | ~ (occurrence_of(v0, tptp3) = 0) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & root_occ(v0, all_4_0_1) = v3 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp2) = v4 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v4 = 0) & ~ (v2 = 0))))) % 165.12/110.00 | (131) ! [v0] : ! [v1] : ( ~ (leaf_occ(v1, all_4_0_1) = 0) | ~ (occurrence_of(v0, tptp3) = 0) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (root_occ(v0, all_4_0_1) = v2 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp1) = v4 & occurrence_of(v1, tptp2) = v3 & ( ~ (v5 = 0) | ~ (v2 = 0) | ( ~ (v4 = 0) & ~ (v3 = 0))))) % 165.12/110.00 | (132) occurrence_of(all_4_0_1, tptp0) = 0 % 165.12/110.00 | (133) ! [v0] : ! [v1] : ! [v2] : ( ~ (root_occ(v0, all_4_0_1) = 0) | ~ (occurrence_of(v1, tptp2) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : (leaf_occ(v1, all_4_0_1) = v6 & min_precedes(v0, v1, tptp0) = v5 & occurrence_of(v1, tptp1) = v4 & occurrence_of(v0, tptp3) = v3 & ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v3 = 0) | ( ~ (v4 = 0) & ~ (v2 = 0))))) % 165.12/110.00 | % 165.18/110.00 | Instantiating formula (6) with tptp0, all_1_0_0, 0 and discharging atoms atomic(tptp0) = all_1_0_0, yields: % 165.18/110.00 | (134) all_1_0_0 = 0 | ~ (atomic(tptp0) = 0) % 165.18/110.00 | % 165.18/110.00 | Instantiating formula (50) with all_4_0_1 and discharging atoms occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.18/110.00 | (135) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (leaf_occ(v2, all_4_0_1) = 0 & root_occ(v0, all_4_0_1) = 0 & next_subocc(v1, v2, tptp0) = 0 & next_subocc(v0, v1, tptp0) = 0 & occurrence_of(v2, tptp1) = v4 & occurrence_of(v2, tptp2) = v3 & occurrence_of(v1, tptp4) = 0 & occurrence_of(v0, tptp3) = 0 & (v4 = 0 | v3 = 0)) % 165.18/110.00 | % 165.18/110.00 | Instantiating formula (44) with all_4_0_1, tptp0 and discharging atoms occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.18/110.00 | (136) atomic(tptp0) = 0 | ? [v0] : (subactivity_occurrence(v0, all_4_0_1) = 0 & root(v0, tptp0) = 0) % 165.18/110.00 | % 165.18/110.00 | Instantiating (135) with all_15_0_5, all_15_1_6, all_15_2_7, all_15_3_8, all_15_4_9 yields: % 165.18/110.00 | (137) leaf_occ(all_15_2_7, all_4_0_1) = 0 & root_occ(all_15_4_9, all_4_0_1) = 0 & next_subocc(all_15_3_8, all_15_2_7, tptp0) = 0 & next_subocc(all_15_4_9, all_15_3_8, tptp0) = 0 & occurrence_of(all_15_2_7, tptp1) = all_15_0_5 & occurrence_of(all_15_2_7, tptp2) = all_15_1_6 & occurrence_of(all_15_3_8, tptp4) = 0 & occurrence_of(all_15_4_9, tptp3) = 0 & (all_15_0_5 = 0 | all_15_1_6 = 0) % 165.18/110.00 | % 165.18/110.00 | Applying alpha-rule on (137) yields: % 165.18/110.00 | (138) occurrence_of(all_15_2_7, tptp1) = all_15_0_5 % 165.18/110.00 | (139) next_subocc(all_15_3_8, all_15_2_7, tptp0) = 0 % 165.18/110.00 | (140) occurrence_of(all_15_4_9, tptp3) = 0 % 165.18/110.00 | (141) next_subocc(all_15_4_9, all_15_3_8, tptp0) = 0 % 165.18/110.00 | (142) occurrence_of(all_15_3_8, tptp4) = 0 % 165.18/110.00 | (143) root_occ(all_15_4_9, all_4_0_1) = 0 % 165.18/110.00 | (144) occurrence_of(all_15_2_7, tptp2) = all_15_1_6 % 165.18/110.00 | (145) all_15_0_5 = 0 | all_15_1_6 = 0 % 165.18/110.00 | (146) leaf_occ(all_15_2_7, all_4_0_1) = 0 % 165.18/110.00 | % 165.18/110.00 +-Applying beta-rule and splitting (136), into two cases. % 165.18/110.00 |-Branch one: % 165.18/110.00 | (147) atomic(tptp0) = 0 % 165.18/110.00 | % 165.18/110.00 +-Applying beta-rule and splitting (134), into two cases. % 165.18/110.00 |-Branch one: % 165.18/110.00 | (148) ~ (atomic(tptp0) = 0) % 165.18/110.00 | % 165.18/110.00 | Using (147) and (148) yields: % 165.18/110.00 | (149) $false % 165.18/110.00 | % 165.18/110.00 |-The branch is then unsatisfiable % 165.18/110.00 |-Branch two: % 165.18/110.00 | (147) atomic(tptp0) = 0 % 165.18/110.00 | (151) all_1_0_0 = 0 % 165.18/110.00 | % 165.18/110.00 | Equations (151) can reduce 27 to: % 165.18/110.00 | (152) $false % 165.18/110.00 | % 165.18/110.00 |-The branch is then unsatisfiable % 165.18/110.00 |-Branch two: % 165.18/110.00 | (148) ~ (atomic(tptp0) = 0) % 165.18/110.00 | (154) ? [v0] : (subactivity_occurrence(v0, all_4_0_1) = 0 & root(v0, tptp0) = 0) % 165.18/110.00 | % 165.18/110.00 | Instantiating (154) with all_23_0_12 yields: % 165.18/110.00 | (155) subactivity_occurrence(all_23_0_12, all_4_0_1) = 0 & root(all_23_0_12, tptp0) = 0 % 165.18/110.00 | % 165.18/110.00 | Applying alpha-rule on (155) yields: % 165.18/110.00 | (156) subactivity_occurrence(all_23_0_12, all_4_0_1) = 0 % 165.18/110.00 | (157) root(all_23_0_12, tptp0) = 0 % 165.18/110.00 | % 165.18/110.00 | Instantiating formula (119) with tptp3, tptp4, all_15_4_9 and discharging atoms occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.18/110.00 | (158) tptp4 = tptp3 | ~ (occurrence_of(all_15_4_9, tptp4) = 0) % 165.18/110.00 | % 165.18/110.00 +-Applying beta-rule and splitting (158), into two cases. % 165.18/110.00 |-Branch one: % 165.18/110.00 | (159) ~ (occurrence_of(all_15_4_9, tptp4) = 0) % 165.18/110.01 | % 165.18/110.01 | Using (142) and (159) yields: % 165.18/110.01 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (43) with all_4_0_1, all_15_2_7 and discharging atoms leaf_occ(all_15_2_7, all_4_0_1) = 0, yields: % 165.18/110.01 | (161) ? [v0] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v0 & ? [v1] : (v0 = 0 & leaf(all_15_2_7, v1) = 0 & occurrence_of(all_4_0_1, v1) = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (128) with all_15_2_7, all_15_4_9 and discharging atoms leaf_occ(all_15_2_7, all_4_0_1) = 0, root_occ(all_15_4_9, all_4_0_1) = 0, yields: % 165.18/110.01 | (162) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (min_precedes(all_15_4_9, all_15_2_7, tptp0) = v3 & occurrence_of(all_15_2_7, tptp1) = v2 & occurrence_of(all_15_2_7, tptp2) = v1 & occurrence_of(all_15_4_9, tptp3) = v0 & ( ~ (v3 = 0) | ~ (v0 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (21) with all_4_0_1, all_15_4_9 and discharging atoms root_occ(all_15_4_9, all_4_0_1) = 0, yields: % 165.18/110.01 | (163) ? [v0] : (subactivity_occurrence(all_15_4_9, all_4_0_1) = v0 & ? [v1] : (v0 = 0 & root(all_15_4_9, v1) = 0 & occurrence_of(all_4_0_1, v1) = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (123) with all_4_0_1, all_23_0_12 and discharging atoms subactivity_occurrence(all_23_0_12, all_4_0_1) = 0, yields: % 165.18/110.01 | (164) activity_occurrence(all_23_0_12) = 0 & activity_occurrence(all_4_0_1) = 0 % 165.18/110.01 | % 165.18/110.01 | Applying alpha-rule on (164) yields: % 165.18/110.01 | (165) activity_occurrence(all_23_0_12) = 0 % 165.18/110.01 | (166) activity_occurrence(all_4_0_1) = 0 % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (57) with tptp0, all_15_2_7, all_15_3_8 and discharging atoms next_subocc(all_15_3_8, all_15_2_7, tptp0) = 0, yields: % 165.18/110.01 | (167) min_precedes(all_15_3_8, all_15_2_7, tptp0) = 0 & ! [v0] : ( ~ (min_precedes(v0, all_15_2_7, tptp0) = 0) | ? [v1] : ( ~ (v1 = 0) & min_precedes(all_15_3_8, v0, tptp0) = v1)) & ! [v0] : ( ~ (min_precedes(all_15_3_8, v0, tptp0) = 0) | ? [v1] : ( ~ (v1 = 0) & min_precedes(v0, all_15_2_7, tptp0) = v1)) % 165.18/110.01 | % 165.18/110.01 | Applying alpha-rule on (167) yields: % 165.18/110.01 | (168) min_precedes(all_15_3_8, all_15_2_7, tptp0) = 0 % 165.18/110.01 | (169) ! [v0] : ( ~ (min_precedes(v0, all_15_2_7, tptp0) = 0) | ? [v1] : ( ~ (v1 = 0) & min_precedes(all_15_3_8, v0, tptp0) = v1)) % 165.18/110.01 | (170) ! [v0] : ( ~ (min_precedes(all_15_3_8, v0, tptp0) = 0) | ? [v1] : ( ~ (v1 = 0) & min_precedes(v0, all_15_2_7, tptp0) = v1)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (57) with tptp0, all_15_3_8, all_15_4_9 and discharging atoms next_subocc(all_15_4_9, all_15_3_8, tptp0) = 0, yields: % 165.18/110.01 | (171) min_precedes(all_15_4_9, all_15_3_8, tptp0) = 0 & ! [v0] : ( ~ (min_precedes(v0, all_15_3_8, tptp0) = 0) | ? [v1] : ( ~ (v1 = 0) & min_precedes(all_15_4_9, v0, tptp0) = v1)) & ! [v0] : ( ~ (min_precedes(all_15_4_9, v0, tptp0) = 0) | ? [v1] : ( ~ (v1 = 0) & min_precedes(v0, all_15_3_8, tptp0) = v1)) % 165.18/110.01 | % 165.18/110.01 | Applying alpha-rule on (171) yields: % 165.18/110.01 | (172) min_precedes(all_15_4_9, all_15_3_8, tptp0) = 0 % 165.18/110.01 | (173) ! [v0] : ( ~ (min_precedes(v0, all_15_3_8, tptp0) = 0) | ? [v1] : ( ~ (v1 = 0) & min_precedes(all_15_4_9, v0, tptp0) = v1)) % 165.18/110.01 | (174) ! [v0] : ( ~ (min_precedes(all_15_4_9, v0, tptp0) = 0) | ? [v1] : ( ~ (v1 = 0) & min_precedes(v0, all_15_3_8, tptp0) = v1)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (20) with all_23_0_12, tptp0 and discharging atoms root(all_23_0_12, tptp0) = 0, ~ (atomic(tptp0) = 0), yields: % 165.18/110.01 | (175) ? [v0] : (subactivity_occurrence(all_23_0_12, v0) = 0 & occurrence_of(v0, tptp0) = 0) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (40) with all_4_0_1 and discharging atoms activity_occurrence(all_4_0_1) = 0, yields: % 165.18/110.01 | (176) ? [v0] : (activity(v0) = 0 & occurrence_of(all_4_0_1, v0) = 0) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (73) with all_15_2_7, tptp1 yields: % 165.18/110.01 | (177) ~ (occurrence_of(all_15_2_7, tptp1) = 0) | (activity(tptp1) = 0 & activity_occurrence(all_15_2_7) = 0) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (53) with tptp1, all_15_2_7 yields: % 165.18/110.01 | (178) ~ (occurrence_of(all_15_2_7, tptp1) = 0) | ? [v0] : ? [v1] : (arboreal(all_15_2_7) = v0 & atomic(tptp1) = v1 & ( ~ (v1 = 0) | v0 = 0) & ( ~ (v0 = 0) | v1 = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (127) with all_15_0_5, all_15_2_7, all_15_4_9 and discharging atoms root_occ(all_15_4_9, all_4_0_1) = 0, occurrence_of(all_15_2_7, tptp1) = all_15_0_5, yields: % 165.18/110.01 | (179) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leaf_occ(all_15_2_7, all_4_0_1) = v3 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = v2 & occurrence_of(all_15_2_7, tptp2) = v1 & occurrence_of(all_15_4_9, tptp3) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v0 = 0) | ( ~ (v1 = 0) & ~ (all_15_0_5 = 0)))) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (73) with all_15_2_7, tptp2 yields: % 165.18/110.01 | (180) ~ (occurrence_of(all_15_2_7, tptp2) = 0) | (activity(tptp2) = 0 & activity_occurrence(all_15_2_7) = 0) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (53) with tptp2, all_15_2_7 yields: % 165.18/110.01 | (181) ~ (occurrence_of(all_15_2_7, tptp2) = 0) | ? [v0] : ? [v1] : (arboreal(all_15_2_7) = v0 & atomic(tptp2) = v1 & ( ~ (v1 = 0) | v0 = 0) & ( ~ (v0 = 0) | v1 = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (133) with all_15_1_6, all_15_2_7, all_15_4_9 and discharging atoms root_occ(all_15_4_9, all_4_0_1) = 0, occurrence_of(all_15_2_7, tptp2) = all_15_1_6, yields: % 165.18/110.01 | (182) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leaf_occ(all_15_2_7, all_4_0_1) = v3 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = v2 & occurrence_of(all_15_2_7, tptp1) = v1 & occurrence_of(all_15_4_9, tptp3) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v0 = 0) | ( ~ (v1 = 0) & ~ (all_15_1_6 = 0)))) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (94) with all_15_3_8, all_15_3_8, tptp4, tptp4 and discharging atoms occurrence_of(all_15_3_8, tptp4) = 0, yields: % 165.18/110.01 | (183) ? [v0] : ? [v1] : ? [v2] : (subactivity_occurrence(all_15_3_8, all_15_3_8) = v1 & atomic(tptp4) = v0 & subactivity(tptp4, tptp4) = v2 & ( ~ (v1 = 0) | v2 = 0 | v0 = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (53) with tptp4, all_15_3_8 and discharging atoms occurrence_of(all_15_3_8, tptp4) = 0, yields: % 165.18/110.01 | (184) ? [v0] : ? [v1] : (arboreal(all_15_3_8) = v0 & atomic(tptp4) = v1 & ( ~ (v1 = 0) | v0 = 0) & ( ~ (v0 = 0) | v1 = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (94) with all_4_0_1, all_15_4_9, tptp0, tptp3 and discharging atoms occurrence_of(all_15_4_9, tptp3) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.18/110.01 | (185) ? [v0] : ? [v1] : ? [v2] : (subactivity_occurrence(all_15_4_9, all_4_0_1) = v1 & atomic(tptp3) = v0 & subactivity(tptp3, tptp0) = v2 & ( ~ (v1 = 0) | v2 = 0 | v0 = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (94) with all_15_3_8, all_15_4_9, tptp4, tptp3 and discharging atoms occurrence_of(all_15_3_8, tptp4) = 0, occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.18/110.01 | (186) ? [v0] : ? [v1] : ? [v2] : (subactivity_occurrence(all_15_4_9, all_15_3_8) = v1 & atomic(tptp3) = v0 & subactivity(tptp3, tptp4) = v2 & ( ~ (v1 = 0) | v2 = 0 | v0 = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (94) with all_15_4_9, all_15_4_9, tptp3, tptp3 and discharging atoms occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.18/110.01 | (187) ? [v0] : ? [v1] : ? [v2] : (subactivity_occurrence(all_15_4_9, all_15_4_9) = v1 & atomic(tptp3) = v0 & subactivity(tptp3, tptp3) = v2 & ( ~ (v1 = 0) | v2 = 0 | v0 = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (130) with all_15_0_5, all_15_2_7, all_15_4_9 and discharging atoms occurrence_of(all_15_2_7, tptp1) = all_15_0_5, occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.18/110.01 | (188) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leaf_occ(all_15_2_7, all_4_0_1) = v3 & root_occ(all_15_4_9, all_4_0_1) = v0 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = v2 & occurrence_of(all_15_2_7, tptp2) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v0 = 0) | ( ~ (v1 = 0) & ~ (all_15_0_5 = 0)))) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (126) with all_15_1_6, all_15_2_7, all_15_4_9 and discharging atoms occurrence_of(all_15_2_7, tptp2) = all_15_1_6, occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.18/110.01 | (189) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (leaf_occ(all_15_2_7, all_4_0_1) = v3 & root_occ(all_15_4_9, all_4_0_1) = v0 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = v2 & occurrence_of(all_15_2_7, tptp1) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v0 = 0) | ( ~ (v1 = 0) & ~ (all_15_1_6 = 0)))) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (131) with all_15_2_7, all_15_4_9 and discharging atoms leaf_occ(all_15_2_7, all_4_0_1) = 0, occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.18/110.01 | (190) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (root_occ(all_15_4_9, all_4_0_1) = v0 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = v3 & occurrence_of(all_15_2_7, tptp1) = v2 & occurrence_of(all_15_2_7, tptp2) = v1 & ( ~ (v3 = 0) | ~ (v0 = 0) | ( ~ (v2 = 0) & ~ (v1 = 0)))) % 165.18/110.01 | % 165.18/110.01 | Instantiating formula (53) with tptp3, all_15_4_9 and discharging atoms occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.18/110.01 | (191) ? [v0] : ? [v1] : (arboreal(all_15_4_9) = v0 & atomic(tptp3) = v1 & ( ~ (v1 = 0) | v0 = 0) & ( ~ (v0 = 0) | v1 = 0)) % 165.18/110.01 | % 165.18/110.01 | Instantiating (185) with all_59_0_16, all_59_1_17, all_59_2_18 yields: % 165.18/110.01 | (192) subactivity_occurrence(all_15_4_9, all_4_0_1) = all_59_1_17 & atomic(tptp3) = all_59_2_18 & subactivity(tptp3, tptp0) = all_59_0_16 & ( ~ (all_59_1_17 = 0) | all_59_0_16 = 0 | all_59_2_18 = 0) % 165.18/110.01 | % 165.18/110.01 | Applying alpha-rule on (192) yields: % 165.18/110.01 | (193) subactivity_occurrence(all_15_4_9, all_4_0_1) = all_59_1_17 % 165.18/110.01 | (194) atomic(tptp3) = all_59_2_18 % 165.18/110.01 | (195) subactivity(tptp3, tptp0) = all_59_0_16 % 165.18/110.01 | (196) ~ (all_59_1_17 = 0) | all_59_0_16 = 0 | all_59_2_18 = 0 % 165.18/110.01 | % 165.18/110.01 | Instantiating (190) with all_61_0_19, all_61_1_20, all_61_2_21, all_61_3_22 yields: % 165.18/110.01 | (197) root_occ(all_15_4_9, all_4_0_1) = all_61_3_22 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19 & occurrence_of(all_15_2_7, tptp1) = all_61_1_20 & occurrence_of(all_15_2_7, tptp2) = all_61_2_21 & ( ~ (all_61_0_19 = 0) | ~ (all_61_3_22 = 0) | ( ~ (all_61_1_20 = 0) & ~ (all_61_2_21 = 0))) % 165.18/110.01 | % 165.18/110.01 | Applying alpha-rule on (197) yields: % 165.18/110.01 | (198) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19 % 165.18/110.01 | (199) root_occ(all_15_4_9, all_4_0_1) = all_61_3_22 % 165.18/110.01 | (200) ~ (all_61_0_19 = 0) | ~ (all_61_3_22 = 0) | ( ~ (all_61_1_20 = 0) & ~ (all_61_2_21 = 0)) % 165.18/110.01 | (201) occurrence_of(all_15_2_7, tptp1) = all_61_1_20 % 165.18/110.01 | (202) occurrence_of(all_15_2_7, tptp2) = all_61_2_21 % 165.18/110.01 | % 165.18/110.02 | Instantiating (189) with all_63_0_23, all_63_1_24, all_63_2_25, all_63_3_26 yields: % 165.18/110.02 | (203) leaf_occ(all_15_2_7, all_4_0_1) = all_63_0_23 & root_occ(all_15_4_9, all_4_0_1) = all_63_3_26 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_63_1_24 & occurrence_of(all_15_2_7, tptp1) = all_63_2_25 & ( ~ (all_63_0_23 = 0) | ~ (all_63_1_24 = 0) | ~ (all_63_3_26 = 0) | ( ~ (all_63_2_25 = 0) & ~ (all_15_1_6 = 0))) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (203) yields: % 165.18/110.02 | (204) leaf_occ(all_15_2_7, all_4_0_1) = all_63_0_23 % 165.18/110.02 | (205) ~ (all_63_0_23 = 0) | ~ (all_63_1_24 = 0) | ~ (all_63_3_26 = 0) | ( ~ (all_63_2_25 = 0) & ~ (all_15_1_6 = 0)) % 165.18/110.02 | (206) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_63_1_24 % 165.18/110.02 | (207) occurrence_of(all_15_2_7, tptp1) = all_63_2_25 % 165.18/110.02 | (208) root_occ(all_15_4_9, all_4_0_1) = all_63_3_26 % 165.18/110.02 | % 165.18/110.02 | Instantiating (187) with all_65_0_27, all_65_1_28, all_65_2_29 yields: % 165.18/110.02 | (209) subactivity_occurrence(all_15_4_9, all_15_4_9) = all_65_1_28 & atomic(tptp3) = all_65_2_29 & subactivity(tptp3, tptp3) = all_65_0_27 & ( ~ (all_65_1_28 = 0) | all_65_0_27 = 0 | all_65_2_29 = 0) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (209) yields: % 165.18/110.02 | (210) subactivity_occurrence(all_15_4_9, all_15_4_9) = all_65_1_28 % 165.18/110.02 | (211) atomic(tptp3) = all_65_2_29 % 165.18/110.02 | (212) subactivity(tptp3, tptp3) = all_65_0_27 % 165.18/110.02 | (213) ~ (all_65_1_28 = 0) | all_65_0_27 = 0 | all_65_2_29 = 0 % 165.18/110.02 | % 165.18/110.02 | Instantiating (175) with all_67_0_30 yields: % 165.18/110.02 | (214) subactivity_occurrence(all_23_0_12, all_67_0_30) = 0 & occurrence_of(all_67_0_30, tptp0) = 0 % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (214) yields: % 165.18/110.02 | (215) subactivity_occurrence(all_23_0_12, all_67_0_30) = 0 % 165.18/110.02 | (216) occurrence_of(all_67_0_30, tptp0) = 0 % 165.18/110.02 | % 165.18/110.02 | Instantiating (186) with all_69_0_31, all_69_1_32, all_69_2_33 yields: % 165.18/110.02 | (217) subactivity_occurrence(all_15_4_9, all_15_3_8) = all_69_1_32 & atomic(tptp3) = all_69_2_33 & subactivity(tptp3, tptp4) = all_69_0_31 & ( ~ (all_69_1_32 = 0) | all_69_0_31 = 0 | all_69_2_33 = 0) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (217) yields: % 165.18/110.02 | (218) subactivity_occurrence(all_15_4_9, all_15_3_8) = all_69_1_32 % 165.18/110.02 | (219) atomic(tptp3) = all_69_2_33 % 165.18/110.02 | (220) subactivity(tptp3, tptp4) = all_69_0_31 % 165.18/110.02 | (221) ~ (all_69_1_32 = 0) | all_69_0_31 = 0 | all_69_2_33 = 0 % 165.18/110.02 | % 165.18/110.02 | Instantiating (188) with all_71_0_34, all_71_1_35, all_71_2_36, all_71_3_37 yields: % 165.18/110.02 | (222) leaf_occ(all_15_2_7, all_4_0_1) = all_71_0_34 & root_occ(all_15_4_9, all_4_0_1) = all_71_3_37 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_71_1_35 & occurrence_of(all_15_2_7, tptp2) = all_71_2_36 & ( ~ (all_71_0_34 = 0) | ~ (all_71_1_35 = 0) | ~ (all_71_3_37 = 0) | ( ~ (all_71_2_36 = 0) & ~ (all_15_0_5 = 0))) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (222) yields: % 165.18/110.02 | (223) ~ (all_71_0_34 = 0) | ~ (all_71_1_35 = 0) | ~ (all_71_3_37 = 0) | ( ~ (all_71_2_36 = 0) & ~ (all_15_0_5 = 0)) % 165.18/110.02 | (224) leaf_occ(all_15_2_7, all_4_0_1) = all_71_0_34 % 165.18/110.02 | (225) root_occ(all_15_4_9, all_4_0_1) = all_71_3_37 % 165.18/110.02 | (226) occurrence_of(all_15_2_7, tptp2) = all_71_2_36 % 165.18/110.02 | (227) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_71_1_35 % 165.18/110.02 | % 165.18/110.02 | Instantiating (184) with all_75_0_41, all_75_1_42 yields: % 165.18/110.02 | (228) arboreal(all_15_3_8) = all_75_1_42 & atomic(tptp4) = all_75_0_41 & ( ~ (all_75_0_41 = 0) | all_75_1_42 = 0) & ( ~ (all_75_1_42 = 0) | all_75_0_41 = 0) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (228) yields: % 165.18/110.02 | (229) arboreal(all_15_3_8) = all_75_1_42 % 165.18/110.02 | (230) atomic(tptp4) = all_75_0_41 % 165.18/110.02 | (231) ~ (all_75_0_41 = 0) | all_75_1_42 = 0 % 165.18/110.02 | (232) ~ (all_75_1_42 = 0) | all_75_0_41 = 0 % 165.18/110.02 | % 165.18/110.02 | Instantiating (183) with all_77_0_43, all_77_1_44, all_77_2_45 yields: % 165.18/110.02 | (233) subactivity_occurrence(all_15_3_8, all_15_3_8) = all_77_1_44 & atomic(tptp4) = all_77_2_45 & subactivity(tptp4, tptp4) = all_77_0_43 & ( ~ (all_77_1_44 = 0) | all_77_0_43 = 0 | all_77_2_45 = 0) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (233) yields: % 165.18/110.02 | (234) subactivity_occurrence(all_15_3_8, all_15_3_8) = all_77_1_44 % 165.18/110.02 | (235) atomic(tptp4) = all_77_2_45 % 165.18/110.02 | (236) subactivity(tptp4, tptp4) = all_77_0_43 % 165.18/110.02 | (237) ~ (all_77_1_44 = 0) | all_77_0_43 = 0 | all_77_2_45 = 0 % 165.18/110.02 | % 165.18/110.02 | Instantiating (179) with all_81_0_49, all_81_1_50, all_81_2_51, all_81_3_52 yields: % 165.18/110.02 | (238) leaf_occ(all_15_2_7, all_4_0_1) = all_81_0_49 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_81_1_50 & occurrence_of(all_15_2_7, tptp2) = all_81_2_51 & occurrence_of(all_15_4_9, tptp3) = all_81_3_52 & ( ~ (all_81_0_49 = 0) | ~ (all_81_1_50 = 0) | ~ (all_81_3_52 = 0) | ( ~ (all_81_2_51 = 0) & ~ (all_15_0_5 = 0))) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (238) yields: % 165.18/110.02 | (239) occurrence_of(all_15_2_7, tptp2) = all_81_2_51 % 165.18/110.02 | (240) occurrence_of(all_15_4_9, tptp3) = all_81_3_52 % 165.18/110.02 | (241) ~ (all_81_0_49 = 0) | ~ (all_81_1_50 = 0) | ~ (all_81_3_52 = 0) | ( ~ (all_81_2_51 = 0) & ~ (all_15_0_5 = 0)) % 165.18/110.02 | (242) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_81_1_50 % 165.18/110.02 | (243) leaf_occ(all_15_2_7, all_4_0_1) = all_81_0_49 % 165.18/110.02 | % 165.18/110.02 | Instantiating (176) with all_83_0_53 yields: % 165.18/110.02 | (244) activity(all_83_0_53) = 0 & occurrence_of(all_4_0_1, all_83_0_53) = 0 % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (244) yields: % 165.18/110.02 | (245) activity(all_83_0_53) = 0 % 165.18/110.02 | (246) occurrence_of(all_4_0_1, all_83_0_53) = 0 % 165.18/110.02 | % 165.18/110.02 | Instantiating (191) with all_87_0_57, all_87_1_58 yields: % 165.18/110.02 | (247) arboreal(all_15_4_9) = all_87_1_58 & atomic(tptp3) = all_87_0_57 & ( ~ (all_87_0_57 = 0) | all_87_1_58 = 0) & ( ~ (all_87_1_58 = 0) | all_87_0_57 = 0) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (247) yields: % 165.18/110.02 | (248) arboreal(all_15_4_9) = all_87_1_58 % 165.18/110.02 | (249) atomic(tptp3) = all_87_0_57 % 165.18/110.02 | (250) ~ (all_87_0_57 = 0) | all_87_1_58 = 0 % 165.18/110.02 | (251) ~ (all_87_1_58 = 0) | all_87_0_57 = 0 % 165.18/110.02 | % 165.18/110.02 | Instantiating (182) with all_91_0_60, all_91_1_61, all_91_2_62, all_91_3_63 yields: % 165.18/110.02 | (252) leaf_occ(all_15_2_7, all_4_0_1) = all_91_0_60 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_91_1_61 & occurrence_of(all_15_2_7, tptp1) = all_91_2_62 & occurrence_of(all_15_4_9, tptp3) = all_91_3_63 & ( ~ (all_91_0_60 = 0) | ~ (all_91_1_61 = 0) | ~ (all_91_3_63 = 0) | ( ~ (all_91_2_62 = 0) & ~ (all_15_1_6 = 0))) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (252) yields: % 165.18/110.02 | (253) leaf_occ(all_15_2_7, all_4_0_1) = all_91_0_60 % 165.18/110.02 | (254) occurrence_of(all_15_2_7, tptp1) = all_91_2_62 % 165.18/110.02 | (255) occurrence_of(all_15_4_9, tptp3) = all_91_3_63 % 165.18/110.02 | (256) ~ (all_91_0_60 = 0) | ~ (all_91_1_61 = 0) | ~ (all_91_3_63 = 0) | ( ~ (all_91_2_62 = 0) & ~ (all_15_1_6 = 0)) % 165.18/110.02 | (257) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_91_1_61 % 165.18/110.02 | % 165.18/110.02 | Instantiating (163) with all_93_0_64 yields: % 165.18/110.02 | (258) subactivity_occurrence(all_15_4_9, all_4_0_1) = all_93_0_64 & ? [v0] : (all_93_0_64 = 0 & root(all_15_4_9, v0) = 0 & occurrence_of(all_4_0_1, v0) = 0) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (258) yields: % 165.18/110.02 | (259) subactivity_occurrence(all_15_4_9, all_4_0_1) = all_93_0_64 % 165.18/110.02 | (260) ? [v0] : (all_93_0_64 = 0 & root(all_15_4_9, v0) = 0 & occurrence_of(all_4_0_1, v0) = 0) % 165.18/110.02 | % 165.18/110.02 | Instantiating (162) with all_95_0_65, all_95_1_66, all_95_2_67, all_95_3_68 yields: % 165.18/110.02 | (261) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_95_0_65 & occurrence_of(all_15_2_7, tptp1) = all_95_1_66 & occurrence_of(all_15_2_7, tptp2) = all_95_2_67 & occurrence_of(all_15_4_9, tptp3) = all_95_3_68 & ( ~ (all_95_0_65 = 0) | ~ (all_95_3_68 = 0) | ( ~ (all_95_1_66 = 0) & ~ (all_95_2_67 = 0))) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (261) yields: % 165.18/110.02 | (262) occurrence_of(all_15_2_7, tptp1) = all_95_1_66 % 165.18/110.02 | (263) occurrence_of(all_15_2_7, tptp2) = all_95_2_67 % 165.18/110.02 | (264) occurrence_of(all_15_4_9, tptp3) = all_95_3_68 % 165.18/110.02 | (265) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_95_0_65 % 165.18/110.02 | (266) ~ (all_95_0_65 = 0) | ~ (all_95_3_68 = 0) | ( ~ (all_95_1_66 = 0) & ~ (all_95_2_67 = 0)) % 165.18/110.02 | % 165.18/110.02 | Instantiating (161) with all_97_0_69 yields: % 165.18/110.02 | (267) subactivity_occurrence(all_15_2_7, all_4_0_1) = all_97_0_69 & ? [v0] : (all_97_0_69 = 0 & leaf(all_15_2_7, v0) = 0 & occurrence_of(all_4_0_1, v0) = 0) % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (267) yields: % 165.18/110.02 | (268) subactivity_occurrence(all_15_2_7, all_4_0_1) = all_97_0_69 % 165.18/110.02 | (269) ? [v0] : (all_97_0_69 = 0 & leaf(all_15_2_7, v0) = 0 & occurrence_of(all_4_0_1, v0) = 0) % 165.18/110.02 | % 165.18/110.02 | Instantiating (260) with all_99_0_70 yields: % 165.18/110.02 | (270) all_93_0_64 = 0 & root(all_15_4_9, all_99_0_70) = 0 & occurrence_of(all_4_0_1, all_99_0_70) = 0 % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (270) yields: % 165.18/110.02 | (271) all_93_0_64 = 0 % 165.18/110.02 | (272) root(all_15_4_9, all_99_0_70) = 0 % 165.18/110.02 | (273) occurrence_of(all_4_0_1, all_99_0_70) = 0 % 165.18/110.02 | % 165.18/110.02 | Instantiating (269) with all_101_0_71 yields: % 165.18/110.02 | (274) all_97_0_69 = 0 & leaf(all_15_2_7, all_101_0_71) = 0 & occurrence_of(all_4_0_1, all_101_0_71) = 0 % 165.18/110.02 | % 165.18/110.02 | Applying alpha-rule on (274) yields: % 165.18/110.02 | (275) all_97_0_69 = 0 % 165.18/110.02 | (276) leaf(all_15_2_7, all_101_0_71) = 0 % 165.18/110.02 | (277) occurrence_of(all_4_0_1, all_101_0_71) = 0 % 165.18/110.02 | % 165.18/110.02 | From (275) and (268) follows: % 165.18/110.02 | (278) subactivity_occurrence(all_15_2_7, all_4_0_1) = 0 % 165.18/110.02 | % 165.18/110.02 | From (271) and (259) follows: % 165.18/110.03 | (279) subactivity_occurrence(all_15_4_9, all_4_0_1) = 0 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (12) with all_15_2_7, all_4_0_1, all_81_0_49, 0 and discharging atoms leaf_occ(all_15_2_7, all_4_0_1) = all_81_0_49, leaf_occ(all_15_2_7, all_4_0_1) = 0, yields: % 165.18/110.03 | (280) all_81_0_49 = 0 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (12) with all_15_2_7, all_4_0_1, all_81_0_49, all_91_0_60 and discharging atoms leaf_occ(all_15_2_7, all_4_0_1) = all_91_0_60, leaf_occ(all_15_2_7, all_4_0_1) = all_81_0_49, yields: % 165.18/110.03 | (281) all_91_0_60 = all_81_0_49 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (12) with all_15_2_7, all_4_0_1, all_71_0_34, all_91_0_60 and discharging atoms leaf_occ(all_15_2_7, all_4_0_1) = all_91_0_60, leaf_occ(all_15_2_7, all_4_0_1) = all_71_0_34, yields: % 165.18/110.03 | (282) all_91_0_60 = all_71_0_34 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (13) with all_15_4_9, all_4_0_1, all_63_3_26, 0 and discharging atoms root_occ(all_15_4_9, all_4_0_1) = all_63_3_26, root_occ(all_15_4_9, all_4_0_1) = 0, yields: % 165.18/110.03 | (283) all_63_3_26 = 0 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (13) with all_15_4_9, all_4_0_1, all_63_3_26, all_71_3_37 and discharging atoms root_occ(all_15_4_9, all_4_0_1) = all_71_3_37, root_occ(all_15_4_9, all_4_0_1) = all_63_3_26, yields: % 165.18/110.03 | (284) all_71_3_37 = all_63_3_26 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (13) with all_15_4_9, all_4_0_1, all_61_3_22, all_71_3_37 and discharging atoms root_occ(all_15_4_9, all_4_0_1) = all_71_3_37, root_occ(all_15_4_9, all_4_0_1) = all_61_3_22, yields: % 165.18/110.03 | (285) all_71_3_37 = all_61_3_22 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (16) with all_15_4_9, all_4_0_1, all_59_1_17, 0 and discharging atoms subactivity_occurrence(all_15_4_9, all_4_0_1) = all_59_1_17, subactivity_occurrence(all_15_4_9, all_4_0_1) = 0, yields: % 165.18/110.03 | (286) all_59_1_17 = 0 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (17) with all_15_4_9, all_15_2_7, tptp0, all_91_1_61, all_95_0_65 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_95_0_65, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_91_1_61, yields: % 165.18/110.03 | (287) all_95_0_65 = all_91_1_61 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (17) with all_15_4_9, all_15_2_7, tptp0, all_81_1_50, all_91_1_61 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_91_1_61, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_81_1_50, yields: % 165.18/110.03 | (288) all_91_1_61 = all_81_1_50 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (17) with all_15_4_9, all_15_2_7, tptp0, all_71_1_35, all_91_1_61 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_91_1_61, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_71_1_35, yields: % 165.18/110.03 | (289) all_91_1_61 = all_71_1_35 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (17) with all_15_4_9, all_15_2_7, tptp0, all_63_1_24, all_95_0_65 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_95_0_65, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_63_1_24, yields: % 165.18/110.03 | (290) all_95_0_65 = all_63_1_24 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (17) with all_15_4_9, all_15_2_7, tptp0, all_61_0_19, all_81_1_50 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_81_1_50, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19, yields: % 165.18/110.03 | (291) all_81_1_50 = all_61_0_19 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (6) with tptp4, all_77_2_45, 0 and discharging atoms atomic(tptp4) = all_77_2_45, atomic(tptp4) = 0, yields: % 165.18/110.03 | (292) all_77_2_45 = 0 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (6) with tptp4, all_75_0_41, all_77_2_45 and discharging atoms atomic(tptp4) = all_77_2_45, atomic(tptp4) = all_75_0_41, yields: % 165.18/110.03 | (293) all_77_2_45 = all_75_0_41 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (6) with tptp3, all_69_2_33, all_87_0_57 and discharging atoms atomic(tptp3) = all_87_0_57, atomic(tptp3) = all_69_2_33, yields: % 165.18/110.03 | (294) all_87_0_57 = all_69_2_33 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (6) with tptp3, all_65_2_29, 0 and discharging atoms atomic(tptp3) = all_65_2_29, atomic(tptp3) = 0, yields: % 165.18/110.03 | (295) all_65_2_29 = 0 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (6) with tptp3, all_65_2_29, all_69_2_33 and discharging atoms atomic(tptp3) = all_69_2_33, atomic(tptp3) = all_65_2_29, yields: % 165.18/110.03 | (296) all_69_2_33 = all_65_2_29 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (6) with tptp3, all_59_2_18, all_87_0_57 and discharging atoms atomic(tptp3) = all_87_0_57, atomic(tptp3) = all_59_2_18, yields: % 165.18/110.03 | (297) all_87_0_57 = all_59_2_18 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (10) with all_15_2_7, tptp1, all_91_2_62, all_15_0_5 and discharging atoms occurrence_of(all_15_2_7, tptp1) = all_91_2_62, occurrence_of(all_15_2_7, tptp1) = all_15_0_5, yields: % 165.18/110.03 | (298) all_91_2_62 = all_15_0_5 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (10) with all_15_2_7, tptp1, all_91_2_62, all_95_1_66 and discharging atoms occurrence_of(all_15_2_7, tptp1) = all_95_1_66, occurrence_of(all_15_2_7, tptp1) = all_91_2_62, yields: % 165.18/110.03 | (299) all_95_1_66 = all_91_2_62 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (10) with all_15_2_7, tptp1, all_63_2_25, all_95_1_66 and discharging atoms occurrence_of(all_15_2_7, tptp1) = all_95_1_66, occurrence_of(all_15_2_7, tptp1) = all_63_2_25, yields: % 165.18/110.03 | (300) all_95_1_66 = all_63_2_25 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (10) with all_15_2_7, tptp1, all_61_1_20, all_91_2_62 and discharging atoms occurrence_of(all_15_2_7, tptp1) = all_91_2_62, occurrence_of(all_15_2_7, tptp1) = all_61_1_20, yields: % 165.18/110.03 | (301) all_91_2_62 = all_61_1_20 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (10) with all_15_2_7, tptp2, all_81_2_51, all_15_1_6 and discharging atoms occurrence_of(all_15_2_7, tptp2) = all_81_2_51, occurrence_of(all_15_2_7, tptp2) = all_15_1_6, yields: % 165.18/110.03 | (302) all_81_2_51 = all_15_1_6 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (10) with all_15_2_7, tptp2, all_81_2_51, all_95_2_67 and discharging atoms occurrence_of(all_15_2_7, tptp2) = all_95_2_67, occurrence_of(all_15_2_7, tptp2) = all_81_2_51, yields: % 165.18/110.03 | (303) all_95_2_67 = all_81_2_51 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (10) with all_15_2_7, tptp2, all_71_2_36, all_95_2_67 and discharging atoms occurrence_of(all_15_2_7, tptp2) = all_95_2_67, occurrence_of(all_15_2_7, tptp2) = all_71_2_36, yields: % 165.18/110.03 | (304) all_95_2_67 = all_71_2_36 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (10) with all_15_2_7, tptp2, all_61_2_21, all_81_2_51 and discharging atoms occurrence_of(all_15_2_7, tptp2) = all_81_2_51, occurrence_of(all_15_2_7, tptp2) = all_61_2_21, yields: % 165.18/110.03 | (305) all_81_2_51 = all_61_2_21 % 165.18/110.03 | % 165.18/110.03 | Instantiating formula (10) with all_15_4_9, tptp3, all_95_3_68, 0 and discharging atoms occurrence_of(all_15_4_9, tptp3) = all_95_3_68, occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.32/110.03 | (306) all_95_3_68 = 0 % 165.32/110.03 | % 165.32/110.03 | Instantiating formula (10) with all_15_4_9, tptp3, all_91_3_63, all_95_3_68 and discharging atoms occurrence_of(all_15_4_9, tptp3) = all_95_3_68, occurrence_of(all_15_4_9, tptp3) = all_91_3_63, yields: % 165.32/110.03 | (307) all_95_3_68 = all_91_3_63 % 165.32/110.03 | % 165.32/110.03 | Instantiating formula (10) with all_15_4_9, tptp3, all_81_3_52, all_91_3_63 and discharging atoms occurrence_of(all_15_4_9, tptp3) = all_91_3_63, occurrence_of(all_15_4_9, tptp3) = all_81_3_52, yields: % 165.32/110.03 | (308) all_91_3_63 = all_81_3_52 % 165.32/110.03 | % 165.32/110.03 | Instantiating formula (119) with all_99_0_70, tptp0, all_4_0_1 and discharging atoms occurrence_of(all_4_0_1, all_99_0_70) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.03 | (309) all_99_0_70 = tptp0 % 165.32/110.03 | % 165.32/110.03 | Instantiating formula (119) with all_99_0_70, all_101_0_71, all_4_0_1 and discharging atoms occurrence_of(all_4_0_1, all_101_0_71) = 0, occurrence_of(all_4_0_1, all_99_0_70) = 0, yields: % 165.32/110.03 | (310) all_101_0_71 = all_99_0_70 % 165.32/110.03 | % 165.32/110.03 | Instantiating formula (119) with all_83_0_53, all_101_0_71, all_4_0_1 and discharging atoms occurrence_of(all_4_0_1, all_101_0_71) = 0, occurrence_of(all_4_0_1, all_83_0_53) = 0, yields: % 165.32/110.03 | (311) all_101_0_71 = all_83_0_53 % 165.32/110.03 | % 165.32/110.03 | Combining equations (310,311) yields a new equation: % 165.32/110.03 | (312) all_99_0_70 = all_83_0_53 % 165.32/110.03 | % 165.32/110.03 | Simplifying 312 yields: % 165.32/110.03 | (313) all_99_0_70 = all_83_0_53 % 165.32/110.03 | % 165.32/110.03 | Combining equations (309,313) yields a new equation: % 165.32/110.03 | (314) all_83_0_53 = tptp0 % 165.32/110.03 | % 165.32/110.03 | Combining equations (287,290) yields a new equation: % 165.32/110.03 | (315) all_91_1_61 = all_63_1_24 % 165.32/110.03 | % 165.32/110.03 | Simplifying 315 yields: % 165.32/110.03 | (316) all_91_1_61 = all_63_1_24 % 165.32/110.03 | % 165.32/110.03 | Combining equations (299,300) yields a new equation: % 165.32/110.03 | (317) all_91_2_62 = all_63_2_25 % 165.32/110.03 | % 165.32/110.03 | Simplifying 317 yields: % 165.32/110.03 | (318) all_91_2_62 = all_63_2_25 % 165.32/110.03 | % 165.32/110.03 | Combining equations (303,304) yields a new equation: % 165.32/110.03 | (319) all_81_2_51 = all_71_2_36 % 165.32/110.03 | % 165.32/110.03 | Simplifying 319 yields: % 165.32/110.03 | (320) all_81_2_51 = all_71_2_36 % 165.32/110.03 | % 165.32/110.03 | Combining equations (307,306) yields a new equation: % 165.32/110.03 | (321) all_91_3_63 = 0 % 165.32/110.03 | % 165.32/110.03 | Simplifying 321 yields: % 165.32/110.03 | (322) all_91_3_63 = 0 % 165.32/110.03 | % 165.32/110.03 | Combining equations (281,282) yields a new equation: % 165.32/110.03 | (323) all_81_0_49 = all_71_0_34 % 165.32/110.03 | % 165.32/110.03 | Simplifying 323 yields: % 165.32/110.03 | (324) all_81_0_49 = all_71_0_34 % 165.32/110.03 | % 165.32/110.03 | Combining equations (288,289) yields a new equation: % 165.32/110.03 | (325) all_81_1_50 = all_71_1_35 % 165.32/110.03 | % 165.32/110.03 | Simplifying 325 yields: % 165.32/110.03 | (326) all_81_1_50 = all_71_1_35 % 165.32/110.03 | % 165.32/110.03 | Combining equations (316,289) yields a new equation: % 165.32/110.03 | (327) all_71_1_35 = all_63_1_24 % 165.32/110.03 | % 165.32/110.03 | Combining equations (298,318) yields a new equation: % 165.32/110.03 | (328) all_63_2_25 = all_15_0_5 % 165.32/110.03 | % 165.32/110.03 | Combining equations (301,318) yields a new equation: % 165.32/110.03 | (329) all_63_2_25 = all_61_1_20 % 165.32/110.03 | % 165.32/110.03 | Combining equations (308,322) yields a new equation: % 165.32/110.03 | (330) all_81_3_52 = 0 % 165.32/110.03 | % 165.32/110.03 | Simplifying 330 yields: % 165.32/110.03 | (331) all_81_3_52 = 0 % 165.32/110.03 | % 165.32/110.03 | Combining equations (294,297) yields a new equation: % 165.32/110.03 | (332) all_69_2_33 = all_59_2_18 % 165.32/110.03 | % 165.32/110.03 | Simplifying 332 yields: % 165.32/110.03 | (333) all_69_2_33 = all_59_2_18 % 165.32/110.03 | % 165.32/110.03 | Combining equations (280,324) yields a new equation: % 165.32/110.03 | (334) all_71_0_34 = 0 % 165.32/110.03 | % 165.32/110.03 | Combining equations (326,291) yields a new equation: % 165.32/110.03 | (335) all_71_1_35 = all_61_0_19 % 165.32/110.03 | % 165.32/110.03 | Simplifying 335 yields: % 165.32/110.03 | (336) all_71_1_35 = all_61_0_19 % 165.32/110.03 | % 165.32/110.03 | Combining equations (302,320) yields a new equation: % 165.32/110.03 | (337) all_71_2_36 = all_15_1_6 % 165.32/110.03 | % 165.32/110.03 | Combining equations (305,320) yields a new equation: % 165.32/110.03 | (338) all_71_2_36 = all_61_2_21 % 165.32/110.03 | % 165.32/110.03 | Combining equations (292,293) yields a new equation: % 165.32/110.03 | (339) all_75_0_41 = 0 % 165.32/110.03 | % 165.32/110.03 | Combining equations (327,336) yields a new equation: % 165.32/110.03 | (340) all_63_1_24 = all_61_0_19 % 165.32/110.03 | % 165.32/110.03 | Simplifying 340 yields: % 165.32/110.03 | (341) all_63_1_24 = all_61_0_19 % 165.32/110.03 | % 165.32/110.03 | Combining equations (338,337) yields a new equation: % 165.32/110.03 | (342) all_61_2_21 = all_15_1_6 % 165.32/110.03 | % 165.32/110.03 | Simplifying 342 yields: % 165.32/110.03 | (343) all_61_2_21 = all_15_1_6 % 165.32/110.03 | % 165.32/110.03 | Combining equations (284,285) yields a new equation: % 165.32/110.03 | (344) all_63_3_26 = all_61_3_22 % 165.32/110.03 | % 165.32/110.03 | Simplifying 344 yields: % 165.32/110.03 | (345) all_63_3_26 = all_61_3_22 % 165.32/110.03 | % 165.32/110.03 | Combining equations (296,333) yields a new equation: % 165.32/110.03 | (346) all_65_2_29 = all_59_2_18 % 165.32/110.03 | % 165.32/110.03 | Simplifying 346 yields: % 165.32/110.03 | (347) all_65_2_29 = all_59_2_18 % 165.32/110.03 | % 165.32/110.03 | Combining equations (295,347) yields a new equation: % 165.32/110.03 | (348) all_59_2_18 = 0 % 165.32/110.03 | % 165.32/110.04 | Combining equations (328,329) yields a new equation: % 165.32/110.04 | (349) all_61_1_20 = all_15_0_5 % 165.32/110.04 | % 165.32/110.04 | Combining equations (283,345) yields a new equation: % 165.32/110.04 | (350) all_61_3_22 = 0 % 165.32/110.04 | % 165.32/110.04 | Combining equations (349,329) yields a new equation: % 165.32/110.04 | (328) all_63_2_25 = all_15_0_5 % 165.32/110.04 | % 165.32/110.04 | Combining equations (350,285) yields a new equation: % 165.32/110.04 | (352) all_71_3_37 = 0 % 165.32/110.04 | % 165.32/110.04 | Combining equations (348,297) yields a new equation: % 165.32/110.04 | (353) all_87_0_57 = 0 % 165.32/110.04 | % 165.32/110.04 | Combining equations (328,300) yields a new equation: % 165.32/110.04 | (354) all_95_1_66 = all_15_0_5 % 165.32/110.04 | % 165.32/110.04 | Combining equations (341,290) yields a new equation: % 165.32/110.04 | (355) all_95_0_65 = all_61_0_19 % 165.32/110.04 | % 165.32/110.04 | Combining equations (314,313) yields a new equation: % 165.32/110.04 | (309) all_99_0_70 = tptp0 % 165.32/110.04 | % 165.32/110.04 | Combining equations (314,311) yields a new equation: % 165.32/110.04 | (357) all_101_0_71 = tptp0 % 165.32/110.04 | % 165.32/110.04 | From (286) and (193) follows: % 165.32/110.04 | (279) subactivity_occurrence(all_15_4_9, all_4_0_1) = 0 % 165.32/110.04 | % 165.32/110.04 | From (357) and (276) follows: % 165.32/110.04 | (359) leaf(all_15_2_7, tptp0) = 0 % 165.32/110.04 | % 165.32/110.04 | From (309) and (272) follows: % 165.32/110.04 | (360) root(all_15_4_9, tptp0) = 0 % 165.32/110.04 | % 165.32/110.04 | From (341) and (206) follows: % 165.32/110.04 | (198) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19 % 165.32/110.04 | % 165.32/110.04 | From (349) and (201) follows: % 165.32/110.04 | (138) occurrence_of(all_15_2_7, tptp1) = all_15_0_5 % 165.32/110.04 | % 165.32/110.04 | From (343) and (202) follows: % 165.32/110.04 | (144) occurrence_of(all_15_2_7, tptp2) = all_15_1_6 % 165.32/110.04 | % 165.32/110.04 | From (331) and (240) follows: % 165.32/110.04 | (140) occurrence_of(all_15_4_9, tptp3) = 0 % 165.32/110.04 | % 165.32/110.04 | From (314) and (246) follows: % 165.32/110.04 | (132) occurrence_of(all_4_0_1, tptp0) = 0 % 165.32/110.04 | % 165.32/110.04 +-Applying beta-rule and splitting (250), into two cases. % 165.32/110.04 |-Branch one: % 165.32/110.04 | (366) ~ (all_87_0_57 = 0) % 165.32/110.04 | % 165.32/110.04 | Equations (353) can reduce 366 to: % 165.32/110.04 | (152) $false % 165.32/110.04 | % 165.32/110.04 |-The branch is then unsatisfiable % 165.32/110.04 |-Branch two: % 165.32/110.04 | (353) all_87_0_57 = 0 % 165.32/110.04 | (369) all_87_1_58 = 0 % 165.32/110.04 | % 165.32/110.04 | From (369) and (248) follows: % 165.32/110.04 | (370) arboreal(all_15_4_9) = 0 % 165.32/110.04 | % 165.32/110.04 +-Applying beta-rule and splitting (231), into two cases. % 165.32/110.04 |-Branch one: % 165.32/110.04 | (371) ~ (all_75_0_41 = 0) % 165.32/110.04 | % 165.32/110.04 | Equations (339) can reduce 371 to: % 165.32/110.04 | (152) $false % 165.32/110.04 | % 165.32/110.04 |-The branch is then unsatisfiable % 165.32/110.04 |-Branch two: % 165.32/110.04 | (339) all_75_0_41 = 0 % 165.32/110.04 | (374) all_75_1_42 = 0 % 165.32/110.04 | % 165.32/110.04 | From (374) and (229) follows: % 165.32/110.04 | (375) arboreal(all_15_3_8) = 0 % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (38) with all_15_2_7, all_23_0_12, all_4_0_1, tptp0 and discharging atoms subactivity_occurrence(all_23_0_12, all_4_0_1) = 0, subactivity_occurrence(all_15_2_7, all_4_0_1) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.04 | (376) all_23_0_12 = all_15_2_7 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (min_precedes(all_23_0_12, all_15_2_7, tptp0) = v2 & min_precedes(all_15_2_7, all_23_0_12, tptp0) = v3 & arboreal(all_23_0_12) = v0 & arboreal(all_15_2_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (38) with all_23_0_12, all_15_2_7, all_4_0_1, tptp0 and discharging atoms subactivity_occurrence(all_23_0_12, all_4_0_1) = 0, subactivity_occurrence(all_15_2_7, all_4_0_1) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.04 | (377) all_23_0_12 = all_15_2_7 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (min_precedes(all_23_0_12, all_15_2_7, tptp0) = v3 & min_precedes(all_15_2_7, all_23_0_12, tptp0) = v2 & arboreal(all_23_0_12) = v1 & arboreal(all_15_2_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (38) with all_15_4_9, all_15_2_7, all_4_0_1, tptp0 and discharging atoms subactivity_occurrence(all_15_2_7, all_4_0_1) = 0, subactivity_occurrence(all_15_4_9, all_4_0_1) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.04 | (378) all_15_2_7 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (min_precedes(all_15_2_7, all_15_4_9, tptp0) = v2 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = v3 & arboreal(all_15_2_7) = v0 & arboreal(all_15_4_9) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (38) with all_15_2_7, all_15_4_9, all_4_0_1, tptp0 and discharging atoms subactivity_occurrence(all_15_2_7, all_4_0_1) = 0, subactivity_occurrence(all_15_4_9, all_4_0_1) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.04 | (379) all_15_2_7 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (min_precedes(all_15_2_7, all_15_4_9, tptp0) = v3 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = v2 & arboreal(all_15_2_7) = v1 & arboreal(all_15_4_9) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (95) with tptp0, all_15_2_7 and discharging atoms leaf(all_15_2_7, tptp0) = 0, yields: % 165.32/110.04 | (380) ! [v0] : ~ (min_precedes(all_15_2_7, v0, tptp0) = 0) & (root(all_15_2_7, tptp0) = 0 | ? [v0] : min_precedes(v0, all_15_2_7, tptp0) = 0) % 165.32/110.04 | % 165.32/110.04 | Applying alpha-rule on (380) yields: % 165.32/110.04 | (381) ! [v0] : ~ (min_precedes(all_15_2_7, v0, tptp0) = 0) % 165.32/110.04 | (382) root(all_15_2_7, tptp0) = 0 | ? [v0] : min_precedes(v0, all_15_2_7, tptp0) = 0 % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (173) with all_15_3_8 yields: % 165.32/110.04 | (383) ~ (min_precedes(all_15_3_8, all_15_3_8, tptp0) = 0) | ? [v0] : ( ~ (v0 = 0) & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v0) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (129) with all_15_2_7, all_15_3_8 and discharging atoms min_precedes(all_15_3_8, all_15_2_7, tptp0) = 0, yields: % 165.32/110.04 | (384) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (leaf_occ(all_15_2_7, all_4_0_1) = v4 & root_occ(all_15_3_8, all_4_0_1) = v1 & occurrence_of(all_15_2_7, tptp1) = v3 & occurrence_of(all_15_2_7, tptp2) = v2 & occurrence_of(all_15_3_8, tptp3) = v0 & ( ~ (v4 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = 0) & ~ (v2 = 0)))) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (22) with tptp0, all_15_2_7, all_15_3_8 and discharging atoms min_precedes(all_15_3_8, all_15_2_7, tptp0) = 0, yields: % 165.32/110.04 | (385) ? [v0] : ( ~ (v0 = 0) & root(all_15_2_7, tptp0) = v0) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (108) with all_61_0_19, all_15_4_9, all_15_2_7, all_4_0_1, tptp0 and discharging atoms subactivity_occurrence(all_15_4_9, all_4_0_1) = 0, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19, yields: % 165.32/110.04 | (386) all_61_0_19 = 0 | all_15_2_7 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v3 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = v4 & arboreal(all_15_2_7) = v1 & arboreal(all_15_4_9) = v2 & occurrence_of(all_4_0_1, tptp0) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (78) with all_61_0_19, all_15_2_7, all_15_4_9, all_4_0_1, tptp0 and discharging atoms subactivity_occurrence(all_15_4_9, all_4_0_1) = 0, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19, yields: % 165.32/110.04 | (387) all_61_0_19 = 0 | all_15_2_7 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v3 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = v4 & arboreal(all_15_2_7) = v2 & arboreal(all_15_4_9) = v1 & occurrence_of(all_4_0_1, tptp0) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (115) with all_61_0_19, all_15_4_9, all_15_2_7, all_4_0_1, tptp0 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.04 | (388) all_61_0_19 = 0 | all_15_2_7 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v2 & subactivity_occurrence(all_15_4_9, all_4_0_1) = v3 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = v4 & arboreal(all_15_2_7) = v0 & arboreal(all_15_4_9) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (93) with all_61_0_19, tptp0, all_15_2_7, all_15_4_9, all_15_3_8 and discharging atoms min_precedes(all_15_3_8, all_15_2_7, tptp0) = 0, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19, yields: % 165.32/110.04 | (389) all_61_0_19 = 0 | ? [v0] : ? [v1] : (min_precedes(all_15_3_8, all_15_4_9, tptp0) = v0 & precedes(all_15_4_9, all_15_2_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (129) with all_15_2_7, all_15_4_9 yields: % 165.32/110.04 | (390) ~ (min_precedes(all_15_4_9, all_15_2_7, tptp0) = 0) | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (leaf_occ(all_15_2_7, all_4_0_1) = v4 & root_occ(all_15_4_9, all_4_0_1) = v1 & occurrence_of(all_15_2_7, tptp1) = v3 & occurrence_of(all_15_2_7, tptp2) = v2 & occurrence_of(all_15_4_9, tptp3) = v0 & ( ~ (v4 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = 0) & ~ (v2 = 0)))) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (24) with tptp0, all_15_4_9, all_15_3_8, all_15_3_8 and discharging atoms min_precedes(all_15_4_9, all_15_3_8, tptp0) = 0, yields: % 165.32/110.04 | (391) ~ (min_precedes(all_15_3_8, all_15_3_8, tptp0) = 0) | ? [v0] : ? [v1] : (min_precedes(all_15_3_8, all_15_4_9, tptp0) = v1 & precedes(all_15_3_8, all_15_4_9) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (23) with all_61_0_19, tptp0, all_15_2_7, all_15_4_9, all_15_3_8 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19, min_precedes(all_15_4_9, all_15_3_8, tptp0) = 0, yields: % 165.32/110.04 | (392) all_61_0_19 = 0 | ? [v0] : ? [v1] : (min_precedes(all_15_2_7, all_15_3_8, tptp0) = v0 & precedes(all_15_4_9, all_15_2_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (122) with tptp0, all_15_3_8, all_15_3_8, all_15_4_9 and discharging atoms min_precedes(all_15_4_9, all_15_3_8, tptp0) = 0, yields: % 165.32/110.04 | (393) ? [v0] : ? [v1] : (min_precedes(all_15_3_8, all_15_3_8, tptp0) = v1 & precedes(all_15_3_8, all_15_3_8) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 165.32/110.04 | % 165.32/110.04 | Instantiating formula (174) with all_15_3_8 and discharging atoms min_precedes(all_15_4_9, all_15_3_8, tptp0) = 0, yields: % 165.32/110.04 | (394) ? [v0] : ( ~ (v0 = 0) & min_precedes(all_15_3_8, all_15_3_8, tptp0) = v0) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (63) with all_15_3_8, all_15_2_7, all_4_0_1, tptp0 and discharging atoms subactivity_occurrence(all_15_2_7, all_4_0_1) = 0, arboreal(all_15_3_8) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.05 | (395) all_15_2_7 = all_15_3_8 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v1 & min_precedes(all_15_2_7, all_15_3_8, tptp0) = v2 & min_precedes(all_15_3_8, all_15_2_7, tptp0) = v3 & arboreal(all_15_2_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (85) with all_15_4_9, all_15_3_8, all_4_0_1, tptp0 and discharging atoms subactivity_occurrence(all_15_4_9, all_4_0_1) = 0, arboreal(all_15_3_8) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.05 | (396) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v3 & arboreal(all_15_4_9) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (63) with all_15_3_8, all_15_4_9, all_4_0_1, tptp0 and discharging atoms subactivity_occurrence(all_15_4_9, all_4_0_1) = 0, arboreal(all_15_3_8) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.05 | (397) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v2 & arboreal(all_15_4_9) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (55) with all_15_4_9, all_15_3_8, all_15_3_8, tptp4 and discharging atoms arboreal(all_15_3_8) = 0, arboreal(all_15_4_9) = 0, occurrence_of(all_15_3_8, tptp4) = 0, yields: % 165.32/110.05 | (398) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_15_3_8) = v0 & subactivity_occurrence(all_15_4_9, all_15_3_8) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp4) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp4) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (55) with all_15_3_8, all_15_4_9, all_15_3_8, tptp4 and discharging atoms arboreal(all_15_3_8) = 0, arboreal(all_15_4_9) = 0, occurrence_of(all_15_3_8, tptp4) = 0, yields: % 165.32/110.05 | (399) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_15_3_8) = v1 & subactivity_occurrence(all_15_4_9, all_15_3_8) = v0 & min_precedes(all_15_3_8, all_15_4_9, tptp4) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp4) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (55) with all_15_4_9, all_15_3_8, all_15_4_9, tptp3 and discharging atoms arboreal(all_15_3_8) = 0, arboreal(all_15_4_9) = 0, occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.32/110.05 | (400) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_15_4_9) = v0 & subactivity_occurrence(all_15_4_9, all_15_4_9) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp3) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (55) with all_15_3_8, all_15_4_9, all_15_4_9, tptp3 and discharging atoms arboreal(all_15_3_8) = 0, arboreal(all_15_4_9) = 0, occurrence_of(all_15_4_9, tptp3) = 0, yields: % 165.32/110.05 | (401) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_15_4_9) = v1 & subactivity_occurrence(all_15_4_9, all_15_4_9) = v0 & min_precedes(all_15_3_8, all_15_4_9, tptp3) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (55) with all_15_4_9, all_15_3_8, all_4_0_1, tptp0 and discharging atoms arboreal(all_15_3_8) = 0, arboreal(all_15_4_9) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.05 | (402) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v0 & subactivity_occurrence(all_15_4_9, all_4_0_1) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (55) with all_15_3_8, all_15_4_9, all_4_0_1, tptp0 and discharging atoms arboreal(all_15_3_8) = 0, arboreal(all_15_4_9) = 0, occurrence_of(all_4_0_1, tptp0) = 0, yields: % 165.32/110.05 | (403) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v1 & subactivity_occurrence(all_15_4_9, all_4_0_1) = v0 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (55) with all_15_3_8, all_15_4_9, all_67_0_30, tptp0 and discharging atoms arboreal(all_15_3_8) = 0, arboreal(all_15_4_9) = 0, occurrence_of(all_67_0_30, tptp0) = 0, yields: % 165.32/110.05 | (404) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_67_0_30) = v1 & subactivity_occurrence(all_15_4_9, all_67_0_30) = v0 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (55) with all_15_4_9, all_15_3_8, all_67_0_30, tptp0 and discharging atoms arboreal(all_15_3_8) = 0, arboreal(all_15_4_9) = 0, occurrence_of(all_67_0_30, tptp0) = 0, yields: % 165.32/110.05 | (405) all_15_3_8 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_67_0_30) = v0 & subactivity_occurrence(all_15_4_9, all_67_0_30) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 | Instantiating (385) with all_210_0_119 yields: % 165.32/110.05 | (406) ~ (all_210_0_119 = 0) & root(all_15_2_7, tptp0) = all_210_0_119 % 165.32/110.05 | % 165.32/110.05 | Applying alpha-rule on (406) yields: % 165.32/110.05 | (407) ~ (all_210_0_119 = 0) % 165.32/110.05 | (408) root(all_15_2_7, tptp0) = all_210_0_119 % 165.32/110.05 | % 165.32/110.05 | Instantiating (393) with all_212_0_120, all_212_1_121 yields: % 165.32/110.05 | (409) min_precedes(all_15_3_8, all_15_3_8, tptp0) = all_212_0_120 & precedes(all_15_3_8, all_15_3_8) = all_212_1_121 & ( ~ (all_212_1_121 = 0) | all_212_0_120 = 0) % 165.32/110.05 | % 165.32/110.05 | Applying alpha-rule on (409) yields: % 165.32/110.05 | (410) min_precedes(all_15_3_8, all_15_3_8, tptp0) = all_212_0_120 % 165.32/110.05 | (411) precedes(all_15_3_8, all_15_3_8) = all_212_1_121 % 165.32/110.05 | (412) ~ (all_212_1_121 = 0) | all_212_0_120 = 0 % 165.32/110.05 | % 165.32/110.05 | Instantiating (384) with all_216_0_124, all_216_1_125, all_216_2_126, all_216_3_127, all_216_4_128 yields: % 165.32/110.05 | (413) leaf_occ(all_15_2_7, all_4_0_1) = all_216_0_124 & root_occ(all_15_3_8, all_4_0_1) = all_216_3_127 & occurrence_of(all_15_2_7, tptp1) = all_216_1_125 & occurrence_of(all_15_2_7, tptp2) = all_216_2_126 & occurrence_of(all_15_3_8, tptp3) = all_216_4_128 & ( ~ (all_216_0_124 = 0) | ~ (all_216_3_127 = 0) | ~ (all_216_4_128 = 0) | ( ~ (all_216_1_125 = 0) & ~ (all_216_2_126 = 0))) % 165.32/110.05 | % 165.32/110.05 | Applying alpha-rule on (413) yields: % 165.32/110.05 | (414) occurrence_of(all_15_2_7, tptp1) = all_216_1_125 % 165.32/110.05 | (415) leaf_occ(all_15_2_7, all_4_0_1) = all_216_0_124 % 165.32/110.05 | (416) ~ (all_216_0_124 = 0) | ~ (all_216_3_127 = 0) | ~ (all_216_4_128 = 0) | ( ~ (all_216_1_125 = 0) & ~ (all_216_2_126 = 0)) % 165.32/110.05 | (417) occurrence_of(all_15_2_7, tptp2) = all_216_2_126 % 165.32/110.05 | (418) root_occ(all_15_3_8, all_4_0_1) = all_216_3_127 % 165.32/110.05 | (419) occurrence_of(all_15_3_8, tptp3) = all_216_4_128 % 165.32/110.05 | % 165.32/110.05 | Instantiating (394) with all_240_0_160 yields: % 165.32/110.05 | (420) ~ (all_240_0_160 = 0) & min_precedes(all_15_3_8, all_15_3_8, tptp0) = all_240_0_160 % 165.32/110.05 | % 165.32/110.05 | Applying alpha-rule on (420) yields: % 165.32/110.05 | (421) ~ (all_240_0_160 = 0) % 165.32/110.05 | (422) min_precedes(all_15_3_8, all_15_3_8, tptp0) = all_240_0_160 % 165.32/110.05 | % 165.32/110.05 +-Applying beta-rule and splitting (383), into two cases. % 165.32/110.05 |-Branch one: % 165.32/110.05 | (423) ~ (min_precedes(all_15_3_8, all_15_3_8, tptp0) = 0) % 165.32/110.05 | % 165.32/110.05 +-Applying beta-rule and splitting (382), into two cases. % 165.32/110.05 |-Branch one: % 165.32/110.05 | (424) root(all_15_2_7, tptp0) = 0 % 165.32/110.05 | % 165.32/110.05 | Instantiating formula (7) with all_15_2_7, tptp0, all_210_0_119, 0 and discharging atoms root(all_15_2_7, tptp0) = all_210_0_119, root(all_15_2_7, tptp0) = 0, yields: % 165.32/110.05 | (425) all_210_0_119 = 0 % 165.32/110.05 | % 165.32/110.05 | Equations (425) can reduce 407 to: % 165.32/110.05 | (152) $false % 165.32/110.05 | % 165.32/110.05 |-The branch is then unsatisfiable % 165.32/110.05 |-Branch two: % 165.32/110.05 | (427) ~ (root(all_15_2_7, tptp0) = 0) % 165.32/110.05 | (428) ? [v0] : min_precedes(v0, all_15_2_7, tptp0) = 0 % 165.32/110.05 | % 165.32/110.05 +-Applying beta-rule and splitting (399), into two cases. % 165.32/110.05 |-Branch one: % 165.32/110.05 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.05 | % 165.32/110.05 | Equations (429) can reduce 160 to: % 165.32/110.05 | (152) $false % 165.32/110.05 | % 165.32/110.05 |-The branch is then unsatisfiable % 165.32/110.05 |-Branch two: % 165.32/110.05 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.05 | (432) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_15_3_8) = v1 & subactivity_occurrence(all_15_4_9, all_15_3_8) = v0 & min_precedes(all_15_3_8, all_15_4_9, tptp4) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp4) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 +-Applying beta-rule and splitting (398), into two cases. % 165.32/110.05 |-Branch one: % 165.32/110.05 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.05 | % 165.32/110.05 | Equations (429) can reduce 160 to: % 165.32/110.05 | (152) $false % 165.32/110.05 | % 165.32/110.05 |-The branch is then unsatisfiable % 165.32/110.05 |-Branch two: % 165.32/110.05 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.05 | (436) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_15_3_8) = v0 & subactivity_occurrence(all_15_4_9, all_15_3_8) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp4) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp4) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.05 | % 165.32/110.05 +-Applying beta-rule and splitting (400), into two cases. % 165.32/110.05 |-Branch one: % 165.32/110.05 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.05 | % 165.32/110.05 | Equations (429) can reduce 160 to: % 165.32/110.05 | (152) $false % 165.32/110.05 | % 165.32/110.05 |-The branch is then unsatisfiable % 165.32/110.05 |-Branch two: % 165.32/110.05 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.06 | (440) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_15_4_9) = v0 & subactivity_occurrence(all_15_4_9, all_15_4_9) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp3) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp3) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.06 | % 165.32/110.06 +-Applying beta-rule and splitting (401), into two cases. % 165.32/110.06 |-Branch one: % 165.32/110.06 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.06 | % 165.32/110.06 | Equations (429) can reduce 160 to: % 165.32/110.06 | (152) $false % 165.32/110.06 | % 165.32/110.06 |-The branch is then unsatisfiable % 165.32/110.06 |-Branch two: % 165.32/110.06 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.06 | (444) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_15_4_9) = v1 & subactivity_occurrence(all_15_4_9, all_15_4_9) = v0 & min_precedes(all_15_3_8, all_15_4_9, tptp3) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp3) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.06 | % 165.32/110.06 +-Applying beta-rule and splitting (402), into two cases. % 165.32/110.06 |-Branch one: % 165.32/110.06 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.06 | % 165.32/110.06 | Equations (429) can reduce 160 to: % 165.32/110.06 | (152) $false % 165.32/110.06 | % 165.32/110.06 |-The branch is then unsatisfiable % 165.32/110.06 |-Branch two: % 165.32/110.06 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.06 | (448) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v0 & subactivity_occurrence(all_15_4_9, all_4_0_1) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.06 | % 165.32/110.06 +-Applying beta-rule and splitting (403), into two cases. % 165.32/110.06 |-Branch one: % 165.32/110.06 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.06 | % 165.32/110.06 | Equations (429) can reduce 160 to: % 165.32/110.06 | (152) $false % 165.32/110.06 | % 165.32/110.06 |-The branch is then unsatisfiable % 165.32/110.06 |-Branch two: % 165.32/110.06 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.06 | (452) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v1 & subactivity_occurrence(all_15_4_9, all_4_0_1) = v0 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.06 | % 165.32/110.06 +-Applying beta-rule and splitting (404), into two cases. % 165.32/110.06 |-Branch one: % 165.32/110.06 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.06 | % 165.32/110.06 | Equations (429) can reduce 160 to: % 165.32/110.06 | (152) $false % 165.32/110.06 | % 165.32/110.06 |-The branch is then unsatisfiable % 165.32/110.06 |-Branch two: % 165.32/110.06 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.06 | (456) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_67_0_30) = v1 & subactivity_occurrence(all_15_4_9, all_67_0_30) = v0 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.06 | % 165.32/110.06 +-Applying beta-rule and splitting (405), into two cases. % 165.32/110.06 |-Branch one: % 165.32/110.06 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.06 | % 165.32/110.06 | Equations (429) can reduce 160 to: % 165.32/110.06 | (152) $false % 165.32/110.06 | % 165.32/110.06 |-The branch is then unsatisfiable % 165.32/110.06 |-Branch two: % 165.32/110.06 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.06 | (460) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_67_0_30) = v0 & subactivity_occurrence(all_15_4_9, all_67_0_30) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v3 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.06 | % 165.32/110.06 +-Applying beta-rule and splitting (396), into two cases. % 165.32/110.06 |-Branch one: % 165.32/110.06 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.06 | % 165.32/110.06 | Equations (429) can reduce 160 to: % 165.32/110.06 | (152) $false % 165.32/110.06 | % 165.32/110.06 |-The branch is then unsatisfiable % 165.32/110.06 |-Branch two: % 165.32/110.06 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.06 | (464) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v2 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v3 & arboreal(all_15_4_9) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.06 | % 165.32/110.06 | Instantiating (464) with all_323_0_426, all_323_1_427, all_323_2_428, all_323_3_429 yields: % 165.32/110.06 | (465) subactivity_occurrence(all_15_3_8, all_4_0_1) = all_323_2_428 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = all_323_1_427 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = all_323_0_426 & arboreal(all_15_4_9) = all_323_3_429 & ( ~ (all_323_2_428 = 0) | ~ (all_323_3_429 = 0) | all_323_0_426 = 0 | all_323_1_427 = 0) % 165.32/110.06 | % 165.32/110.06 | Applying alpha-rule on (465) yields: % 165.32/110.06 | (466) min_precedes(all_15_4_9, all_15_3_8, tptp0) = all_323_0_426 % 165.32/110.06 | (467) arboreal(all_15_4_9) = all_323_3_429 % 165.32/110.06 | (468) subactivity_occurrence(all_15_3_8, all_4_0_1) = all_323_2_428 % 165.32/110.06 | (469) min_precedes(all_15_3_8, all_15_4_9, tptp0) = all_323_1_427 % 165.32/110.06 | (470) ~ (all_323_2_428 = 0) | ~ (all_323_3_429 = 0) | all_323_0_426 = 0 | all_323_1_427 = 0 % 165.32/110.06 | % 165.32/110.06 +-Applying beta-rule and splitting (397), into two cases. % 165.32/110.06 |-Branch one: % 165.32/110.06 | (429) all_15_3_8 = all_15_4_9 % 165.32/110.06 | % 165.32/110.06 | Equations (429) can reduce 160 to: % 165.32/110.06 | (152) $false % 165.32/110.06 | % 165.32/110.06 |-The branch is then unsatisfiable % 165.32/110.06 |-Branch two: % 165.32/110.06 | (160) ~ (all_15_3_8 = all_15_4_9) % 165.32/110.06 | (474) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v1 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = v3 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v2 & arboreal(all_15_4_9) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.06 | % 165.32/110.06 | Instantiating (474) with all_328_0_430, all_328_1_431, all_328_2_432, all_328_3_433 yields: % 165.32/110.06 | (475) subactivity_occurrence(all_15_3_8, all_4_0_1) = all_328_2_432 & min_precedes(all_15_3_8, all_15_4_9, tptp0) = all_328_0_430 & min_precedes(all_15_4_9, all_15_3_8, tptp0) = all_328_1_431 & arboreal(all_15_4_9) = all_328_3_433 & ( ~ (all_328_2_432 = 0) | ~ (all_328_3_433 = 0) | all_328_0_430 = 0 | all_328_1_431 = 0) % 165.32/110.06 | % 165.32/110.06 | Applying alpha-rule on (475) yields: % 165.32/110.06 | (476) min_precedes(all_15_4_9, all_15_3_8, tptp0) = all_328_1_431 % 165.32/110.06 | (477) min_precedes(all_15_3_8, all_15_4_9, tptp0) = all_328_0_430 % 165.32/110.06 | (478) ~ (all_328_2_432 = 0) | ~ (all_328_3_433 = 0) | all_328_0_430 = 0 | all_328_1_431 = 0 % 165.32/110.06 | (479) arboreal(all_15_4_9) = all_328_3_433 % 165.32/110.06 | (480) subactivity_occurrence(all_15_3_8, all_4_0_1) = all_328_2_432 % 165.32/110.06 | % 165.32/110.06 | Instantiating formula (17) with all_15_4_9, all_15_2_7, tptp0, 0, all_61_0_19 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19, yields: % 165.32/110.06 | (481) all_61_0_19 = 0 | ~ (min_precedes(all_15_4_9, all_15_2_7, tptp0) = 0) % 165.32/110.06 | % 165.32/110.06 | Instantiating formula (8) with all_15_4_9, all_328_3_433, 0 and discharging atoms arboreal(all_15_4_9) = all_328_3_433, arboreal(all_15_4_9) = 0, yields: % 165.32/110.06 | (482) all_328_3_433 = 0 % 165.32/110.06 | % 165.32/110.06 | Instantiating formula (8) with all_15_4_9, all_323_3_429, all_328_3_433 and discharging atoms arboreal(all_15_4_9) = all_328_3_433, arboreal(all_15_4_9) = all_323_3_429, yields: % 165.32/110.06 | (483) all_328_3_433 = all_323_3_429 % 165.32/110.06 | % 165.32/110.06 | Instantiating formula (10) with all_15_2_7, tptp1, all_216_1_125, all_15_0_5 and discharging atoms occurrence_of(all_15_2_7, tptp1) = all_216_1_125, occurrence_of(all_15_2_7, tptp1) = all_15_0_5, yields: % 165.32/110.06 | (484) all_216_1_125 = all_15_0_5 % 165.32/110.06 | % 165.32/110.06 | Instantiating formula (10) with all_15_2_7, tptp2, all_216_2_126, all_15_1_6 and discharging atoms occurrence_of(all_15_2_7, tptp2) = all_216_2_126, occurrence_of(all_15_2_7, tptp2) = all_15_1_6, yields: % 165.32/110.06 | (485) all_216_2_126 = all_15_1_6 % 165.32/110.06 | % 165.32/110.06 | Using (157) and (427) yields: % 165.32/110.06 | (486) ~ (all_23_0_12 = all_15_2_7) % 165.32/110.06 | % 165.32/110.06 | Using (360) and (427) yields: % 165.32/110.06 | (487) ~ (all_15_2_7 = all_15_4_9) % 165.32/110.06 | % 165.32/110.06 | Using (168) and (423) yields: % 165.32/110.06 | (488) ~ (all_15_2_7 = all_15_3_8) % 165.32/110.06 | % 165.32/110.06 | Combining equations (483,482) yields a new equation: % 165.32/110.06 | (489) all_323_3_429 = 0 % 165.32/110.06 | % 165.32/110.06 | Simplifying 489 yields: % 165.32/110.06 | (490) all_323_3_429 = 0 % 165.32/110.06 | % 165.32/110.06 | From (490) and (467) follows: % 165.32/110.06 | (370) arboreal(all_15_4_9) = 0 % 165.32/110.06 | % 165.32/110.06 | From (484) and (414) follows: % 165.32/110.06 | (138) occurrence_of(all_15_2_7, tptp1) = all_15_0_5 % 165.32/110.06 | % 165.32/110.06 | From (485) and (417) follows: % 165.32/110.06 | (144) occurrence_of(all_15_2_7, tptp2) = all_15_1_6 % 165.32/110.06 | % 165.32/110.06 +-Applying beta-rule and splitting (395), into two cases. % 165.32/110.06 |-Branch one: % 165.32/110.06 | (494) all_15_2_7 = all_15_3_8 % 165.32/110.06 | % 165.32/110.06 | Equations (494) can reduce 488 to: % 165.32/110.06 | (152) $false % 165.32/110.06 | % 165.32/110.06 |-The branch is then unsatisfiable % 165.32/110.06 |-Branch two: % 165.32/110.06 | (488) ~ (all_15_2_7 = all_15_3_8) % 165.32/110.06 | (497) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (subactivity_occurrence(all_15_3_8, all_4_0_1) = v1 & min_precedes(all_15_2_7, all_15_3_8, tptp0) = v2 & min_precedes(all_15_3_8, all_15_2_7, tptp0) = v3 & arboreal(all_15_2_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.06 | % 165.32/110.06 | Instantiating (497) with all_358_0_435, all_358_1_436, all_358_2_437, all_358_3_438 yields: % 165.32/110.06 | (498) subactivity_occurrence(all_15_3_8, all_4_0_1) = all_358_2_437 & min_precedes(all_15_2_7, all_15_3_8, tptp0) = all_358_1_436 & min_precedes(all_15_3_8, all_15_2_7, tptp0) = all_358_0_435 & arboreal(all_15_2_7) = all_358_3_438 & ( ~ (all_358_2_437 = 0) | ~ (all_358_3_438 = 0) | all_358_0_435 = 0 | all_358_1_436 = 0) % 165.32/110.06 | % 165.32/110.06 | Applying alpha-rule on (498) yields: % 165.32/110.06 | (499) ~ (all_358_2_437 = 0) | ~ (all_358_3_438 = 0) | all_358_0_435 = 0 | all_358_1_436 = 0 % 165.32/110.06 | (500) min_precedes(all_15_2_7, all_15_3_8, tptp0) = all_358_1_436 % 165.32/110.06 | (501) subactivity_occurrence(all_15_3_8, all_4_0_1) = all_358_2_437 % 165.32/110.06 | (502) min_precedes(all_15_3_8, all_15_2_7, tptp0) = all_358_0_435 % 165.32/110.06 | (503) arboreal(all_15_2_7) = all_358_3_438 % 165.32/110.06 | % 165.32/110.06 +-Applying beta-rule and splitting (379), into two cases. % 165.32/110.06 |-Branch one: % 165.32/110.06 | (504) all_15_2_7 = all_15_4_9 % 165.32/110.06 | % 165.32/110.06 | Equations (504) can reduce 487 to: % 165.32/110.06 | (152) $false % 165.32/110.06 | % 165.32/110.06 |-The branch is then unsatisfiable % 165.32/110.06 |-Branch two: % 165.32/110.06 | (487) ~ (all_15_2_7 = all_15_4_9) % 165.32/110.06 | (507) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (min_precedes(all_15_2_7, all_15_4_9, tptp0) = v3 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = v2 & arboreal(all_15_2_7) = v1 & arboreal(all_15_4_9) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.07 | % 165.32/110.07 | Instantiating (507) with all_375_0_476, all_375_1_477, all_375_2_478, all_375_3_479 yields: % 165.32/110.07 | (508) min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_375_0_476 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_375_1_477 & arboreal(all_15_2_7) = all_375_2_478 & arboreal(all_15_4_9) = all_375_3_479 & ( ~ (all_375_2_478 = 0) | ~ (all_375_3_479 = 0) | all_375_0_476 = 0 | all_375_1_477 = 0) % 165.32/110.07 | % 165.32/110.07 | Applying alpha-rule on (508) yields: % 165.32/110.07 | (509) ~ (all_375_2_478 = 0) | ~ (all_375_3_479 = 0) | all_375_0_476 = 0 | all_375_1_477 = 0 % 165.32/110.07 | (510) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_375_1_477 % 165.32/110.07 | (511) arboreal(all_15_2_7) = all_375_2_478 % 165.32/110.07 | (512) min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_375_0_476 % 165.32/110.07 | (513) arboreal(all_15_4_9) = all_375_3_479 % 165.32/110.07 | % 165.32/110.07 +-Applying beta-rule and splitting (378), into two cases. % 165.32/110.07 |-Branch one: % 165.32/110.07 | (504) all_15_2_7 = all_15_4_9 % 165.32/110.07 | % 165.32/110.07 | Equations (504) can reduce 487 to: % 165.32/110.07 | (152) $false % 165.32/110.07 | % 165.32/110.07 |-The branch is then unsatisfiable % 165.32/110.07 |-Branch two: % 165.32/110.07 | (487) ~ (all_15_2_7 = all_15_4_9) % 165.32/110.07 | (517) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (min_precedes(all_15_2_7, all_15_4_9, tptp0) = v2 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = v3 & arboreal(all_15_2_7) = v0 & arboreal(all_15_4_9) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.07 | % 165.32/110.07 | Instantiating (517) with all_380_0_480, all_380_1_481, all_380_2_482, all_380_3_483 yields: % 165.32/110.07 | (518) min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_380_1_481 & min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_380_0_480 & arboreal(all_15_2_7) = all_380_3_483 & arboreal(all_15_4_9) = all_380_2_482 & ( ~ (all_380_2_482 = 0) | ~ (all_380_3_483 = 0) | all_380_0_480 = 0 | all_380_1_481 = 0) % 165.32/110.07 | % 165.32/110.07 | Applying alpha-rule on (518) yields: % 165.32/110.07 | (519) arboreal(all_15_2_7) = all_380_3_483 % 165.32/110.07 | (520) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_380_0_480 % 165.32/110.07 | (521) arboreal(all_15_4_9) = all_380_2_482 % 165.32/110.07 | (522) min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_380_1_481 % 165.32/110.07 | (523) ~ (all_380_2_482 = 0) | ~ (all_380_3_483 = 0) | all_380_0_480 = 0 | all_380_1_481 = 0 % 165.32/110.07 | % 165.32/110.07 +-Applying beta-rule and splitting (376), into two cases. % 165.32/110.07 |-Branch one: % 165.32/110.07 | (524) all_23_0_12 = all_15_2_7 % 165.32/110.07 | % 165.32/110.07 | Equations (524) can reduce 486 to: % 165.32/110.07 | (152) $false % 165.32/110.07 | % 165.32/110.07 |-The branch is then unsatisfiable % 165.32/110.07 |-Branch two: % 165.32/110.07 | (486) ~ (all_23_0_12 = all_15_2_7) % 165.32/110.07 | (527) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (min_precedes(all_23_0_12, all_15_2_7, tptp0) = v2 & min_precedes(all_15_2_7, all_23_0_12, tptp0) = v3 & arboreal(all_23_0_12) = v0 & arboreal(all_15_2_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.07 | % 165.32/110.07 | Instantiating (527) with all_409_0_484, all_409_1_485, all_409_2_486, all_409_3_487 yields: % 165.32/110.07 | (528) min_precedes(all_23_0_12, all_15_2_7, tptp0) = all_409_1_485 & min_precedes(all_15_2_7, all_23_0_12, tptp0) = all_409_0_484 & arboreal(all_23_0_12) = all_409_3_487 & arboreal(all_15_2_7) = all_409_2_486 & ( ~ (all_409_2_486 = 0) | ~ (all_409_3_487 = 0) | all_409_0_484 = 0 | all_409_1_485 = 0) % 165.32/110.07 | % 165.32/110.07 | Applying alpha-rule on (528) yields: % 165.32/110.07 | (529) ~ (all_409_2_486 = 0) | ~ (all_409_3_487 = 0) | all_409_0_484 = 0 | all_409_1_485 = 0 % 165.32/110.07 | (530) arboreal(all_15_2_7) = all_409_2_486 % 165.32/110.07 | (531) min_precedes(all_23_0_12, all_15_2_7, tptp0) = all_409_1_485 % 165.32/110.07 | (532) arboreal(all_23_0_12) = all_409_3_487 % 165.32/110.07 | (533) min_precedes(all_15_2_7, all_23_0_12, tptp0) = all_409_0_484 % 165.32/110.07 | % 165.32/110.07 +-Applying beta-rule and splitting (377), into two cases. % 165.32/110.07 |-Branch one: % 165.32/110.07 | (524) all_23_0_12 = all_15_2_7 % 165.32/110.07 | % 165.32/110.07 | Equations (524) can reduce 486 to: % 165.32/110.07 | (152) $false % 165.32/110.07 | % 165.32/110.07 |-The branch is then unsatisfiable % 165.32/110.07 |-Branch two: % 165.32/110.07 | (486) ~ (all_23_0_12 = all_15_2_7) % 165.32/110.07 | (537) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (min_precedes(all_23_0_12, all_15_2_7, tptp0) = v3 & min_precedes(all_15_2_7, all_23_0_12, tptp0) = v2 & arboreal(all_23_0_12) = v1 & arboreal(all_15_2_7) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | v3 = 0 | v2 = 0)) % 165.32/110.07 | % 165.32/110.07 | Instantiating (537) with all_414_0_488, all_414_1_489, all_414_2_490, all_414_3_491 yields: % 165.32/110.07 | (538) min_precedes(all_23_0_12, all_15_2_7, tptp0) = all_414_0_488 & min_precedes(all_15_2_7, all_23_0_12, tptp0) = all_414_1_489 & arboreal(all_23_0_12) = all_414_2_490 & arboreal(all_15_2_7) = all_414_3_491 & ( ~ (all_414_2_490 = 0) | ~ (all_414_3_491 = 0) | all_414_0_488 = 0 | all_414_1_489 = 0) % 165.32/110.07 | % 165.32/110.07 | Applying alpha-rule on (538) yields: % 165.32/110.07 | (539) ~ (all_414_2_490 = 0) | ~ (all_414_3_491 = 0) | all_414_0_488 = 0 | all_414_1_489 = 0 % 165.32/110.07 | (540) arboreal(all_23_0_12) = all_414_2_490 % 165.32/110.07 | (541) arboreal(all_15_2_7) = all_414_3_491 % 165.32/110.07 | (542) min_precedes(all_23_0_12, all_15_2_7, tptp0) = all_414_0_488 % 165.32/110.07 | (543) min_precedes(all_15_2_7, all_23_0_12, tptp0) = all_414_1_489 % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (381) with all_15_4_9 yields: % 165.32/110.07 | (544) ~ (min_precedes(all_15_2_7, all_15_4_9, tptp0) = 0) % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (17) with all_15_2_7, all_15_4_9, tptp0, all_375_0_476, all_380_1_481 and discharging atoms min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_380_1_481, min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_375_0_476, yields: % 165.32/110.07 | (545) all_380_1_481 = all_375_0_476 % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (17) with all_15_4_9, all_15_2_7, tptp0, all_380_0_480, all_61_0_19 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_380_0_480, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19, yields: % 165.32/110.07 | (546) all_380_0_480 = all_61_0_19 % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (17) with all_15_4_9, all_15_2_7, tptp0, all_375_1_477, all_380_0_480 and discharging atoms min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_380_0_480, min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_375_1_477, yields: % 165.32/110.07 | (547) all_380_0_480 = all_375_1_477 % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (8) with all_15_2_7, all_409_2_486, all_414_3_491 and discharging atoms arboreal(all_15_2_7) = all_414_3_491, arboreal(all_15_2_7) = all_409_2_486, yields: % 165.32/110.07 | (548) all_414_3_491 = all_409_2_486 % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (8) with all_15_2_7, all_380_3_483, all_409_2_486 and discharging atoms arboreal(all_15_2_7) = all_409_2_486, arboreal(all_15_2_7) = all_380_3_483, yields: % 165.32/110.07 | (549) all_409_2_486 = all_380_3_483 % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (8) with all_15_2_7, all_375_2_478, all_414_3_491 and discharging atoms arboreal(all_15_2_7) = all_414_3_491, arboreal(all_15_2_7) = all_375_2_478, yields: % 165.32/110.07 | (550) all_414_3_491 = all_375_2_478 % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (8) with all_15_2_7, all_358_3_438, all_380_3_483 and discharging atoms arboreal(all_15_2_7) = all_380_3_483, arboreal(all_15_2_7) = all_358_3_438, yields: % 165.32/110.07 | (551) all_380_3_483 = all_358_3_438 % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (8) with all_15_4_9, all_380_2_482, 0 and discharging atoms arboreal(all_15_4_9) = all_380_2_482, arboreal(all_15_4_9) = 0, yields: % 165.32/110.07 | (552) all_380_2_482 = 0 % 165.32/110.07 | % 165.32/110.07 | Instantiating formula (8) with all_15_4_9, all_375_3_479, all_380_2_482 and discharging atoms arboreal(all_15_4_9) = all_380_2_482, arboreal(all_15_4_9) = all_375_3_479, yields: % 165.32/110.07 | (553) all_380_2_482 = all_375_3_479 % 165.32/110.07 | % 165.32/110.07 | Combining equations (548,550) yields a new equation: % 165.32/110.07 | (554) all_409_2_486 = all_375_2_478 % 165.32/110.07 | % 165.32/110.07 | Simplifying 554 yields: % 165.32/110.07 | (555) all_409_2_486 = all_375_2_478 % 165.32/110.07 | % 165.32/110.07 | Combining equations (549,555) yields a new equation: % 165.32/110.07 | (556) all_380_3_483 = all_375_2_478 % 165.32/110.07 | % 165.32/110.07 | Simplifying 556 yields: % 165.32/110.07 | (557) all_380_3_483 = all_375_2_478 % 165.32/110.07 | % 165.32/110.07 | Combining equations (546,547) yields a new equation: % 165.32/110.07 | (558) all_375_1_477 = all_61_0_19 % 165.32/110.07 | % 165.32/110.07 | Combining equations (552,553) yields a new equation: % 165.32/110.07 | (559) all_375_3_479 = 0 % 165.32/110.07 | % 165.32/110.07 | Combining equations (551,557) yields a new equation: % 165.32/110.07 | (560) all_375_2_478 = all_358_3_438 % 165.32/110.07 | % 165.32/110.07 | Combining equations (560,557) yields a new equation: % 165.32/110.07 | (551) all_380_3_483 = all_358_3_438 % 165.32/110.07 | % 165.32/110.07 | Combining equations (559,553) yields a new equation: % 165.32/110.07 | (552) all_380_2_482 = 0 % 165.32/110.07 | % 165.32/110.07 | Combining equations (558,547) yields a new equation: % 165.32/110.07 | (546) all_380_0_480 = all_61_0_19 % 165.32/110.07 | % 165.32/110.07 | From (545) and (522) follows: % 165.32/110.07 | (512) min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_375_0_476 % 165.32/110.07 | % 165.32/110.07 | From (558) and (510) follows: % 165.32/110.07 | (198) min_precedes(all_15_4_9, all_15_2_7, tptp0) = all_61_0_19 % 165.32/110.07 | % 165.32/110.07 | From (560) and (511) follows: % 165.32/110.07 | (503) arboreal(all_15_2_7) = all_358_3_438 % 165.32/110.07 | % 165.32/110.07 | Using (512) and (544) yields: % 165.32/110.07 | (567) ~ (all_375_0_476 = 0) % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (145), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (568) all_15_0_5 = 0 % 165.32/110.08 | % 165.32/110.08 | Combining equations (568,354) yields a new equation: % 165.32/110.08 | (569) all_95_1_66 = 0 % 165.32/110.08 | % 165.32/110.08 | From (568) and (138) follows: % 165.32/110.08 | (570) occurrence_of(all_15_2_7, tptp1) = 0 % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (266), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (571) ~ (all_95_0_65 = 0) % 165.32/110.08 | % 165.32/110.08 | Equations (355) can reduce 571 to: % 165.32/110.08 | (572) ~ (all_61_0_19 = 0) % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (387), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (573) all_61_0_19 = 0 % 165.32/110.08 | % 165.32/110.08 | Equations (573) can reduce 572 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (572) ~ (all_61_0_19 = 0) % 165.32/110.08 | (576) all_15_2_7 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v3 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = v4 & arboreal(all_15_2_7) = v2 & arboreal(all_15_4_9) = v1 & occurrence_of(all_4_0_1, tptp0) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (388), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (573) all_61_0_19 = 0 % 165.32/110.08 | % 165.32/110.08 | Equations (573) can reduce 572 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (572) ~ (all_61_0_19 = 0) % 165.32/110.08 | (580) all_15_2_7 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v2 & subactivity_occurrence(all_15_4_9, all_4_0_1) = v3 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = v4 & arboreal(all_15_2_7) = v0 & arboreal(all_15_4_9) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (392), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (573) all_61_0_19 = 0 % 165.32/110.08 | % 165.32/110.08 | Equations (573) can reduce 572 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (572) ~ (all_61_0_19 = 0) % 165.32/110.08 | (584) ? [v0] : ? [v1] : (min_precedes(all_15_2_7, all_15_3_8, tptp0) = v0 & precedes(all_15_4_9, all_15_2_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (177), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (585) ~ (occurrence_of(all_15_2_7, tptp1) = 0) % 165.32/110.08 | % 165.32/110.08 | Using (570) and (585) yields: % 165.32/110.08 | (149) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (570) occurrence_of(all_15_2_7, tptp1) = 0 % 165.32/110.08 | (588) activity(tptp1) = 0 & activity_occurrence(all_15_2_7) = 0 % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (178), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (585) ~ (occurrence_of(all_15_2_7, tptp1) = 0) % 165.32/110.08 | % 165.32/110.08 | Using (570) and (585) yields: % 165.32/110.08 | (149) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (570) occurrence_of(all_15_2_7, tptp1) = 0 % 165.32/110.08 | (592) ? [v0] : ? [v1] : (arboreal(all_15_2_7) = v0 & atomic(tptp1) = v1 & ( ~ (v1 = 0) | v0 = 0) & ( ~ (v0 = 0) | v1 = 0)) % 165.32/110.08 | % 165.32/110.08 | Instantiating (592) with all_504_0_498, all_504_1_499 yields: % 165.32/110.08 | (593) arboreal(all_15_2_7) = all_504_1_499 & atomic(tptp1) = all_504_0_498 & ( ~ (all_504_0_498 = 0) | all_504_1_499 = 0) & ( ~ (all_504_1_499 = 0) | all_504_0_498 = 0) % 165.32/110.08 | % 165.32/110.08 | Applying alpha-rule on (593) yields: % 165.32/110.08 | (594) arboreal(all_15_2_7) = all_504_1_499 % 165.32/110.08 | (595) atomic(tptp1) = all_504_0_498 % 165.32/110.08 | (596) ~ (all_504_0_498 = 0) | all_504_1_499 = 0 % 165.32/110.08 | (597) ~ (all_504_1_499 = 0) | all_504_0_498 = 0 % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (580), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (504) all_15_2_7 = all_15_4_9 % 165.32/110.08 | % 165.32/110.08 | Equations (504) can reduce 487 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (487) ~ (all_15_2_7 = all_15_4_9) % 165.32/110.08 | (601) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v2 & subactivity_occurrence(all_15_4_9, all_4_0_1) = v3 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = v4 & arboreal(all_15_2_7) = v0 & arboreal(all_15_4_9) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 165.32/110.08 | % 165.32/110.08 | Instantiating (601) with all_510_0_500, all_510_1_501, all_510_2_502, all_510_3_503, all_510_4_504 yields: % 165.32/110.08 | (602) subactivity_occurrence(all_15_2_7, all_4_0_1) = all_510_2_502 & subactivity_occurrence(all_15_4_9, all_4_0_1) = all_510_1_501 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_510_0_500 & arboreal(all_15_2_7) = all_510_4_504 & arboreal(all_15_4_9) = all_510_3_503 & ( ~ (all_510_1_501 = 0) | ~ (all_510_2_502 = 0) | ~ (all_510_3_503 = 0) | ~ (all_510_4_504 = 0) | all_510_0_500 = 0) % 165.32/110.08 | % 165.32/110.08 | Applying alpha-rule on (602) yields: % 165.32/110.08 | (603) min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_510_0_500 % 165.32/110.08 | (604) arboreal(all_15_4_9) = all_510_3_503 % 165.32/110.08 | (605) subactivity_occurrence(all_15_4_9, all_4_0_1) = all_510_1_501 % 165.32/110.08 | (606) arboreal(all_15_2_7) = all_510_4_504 % 165.32/110.08 | (607) ~ (all_510_1_501 = 0) | ~ (all_510_2_502 = 0) | ~ (all_510_3_503 = 0) | ~ (all_510_4_504 = 0) | all_510_0_500 = 0 % 165.32/110.08 | (608) subactivity_occurrence(all_15_2_7, all_4_0_1) = all_510_2_502 % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (509), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (609) ~ (all_375_2_478 = 0) % 165.32/110.08 | % 165.32/110.08 | Equations (560) can reduce 609 to: % 165.32/110.08 | (610) ~ (all_358_3_438 = 0) % 165.32/110.08 | % 165.32/110.08 | Instantiating formula (8) with all_15_2_7, all_510_4_504, all_358_3_438 and discharging atoms arboreal(all_15_2_7) = all_510_4_504, arboreal(all_15_2_7) = all_358_3_438, yields: % 165.32/110.08 | (611) all_510_4_504 = all_358_3_438 % 165.32/110.08 | % 165.32/110.08 | Instantiating formula (8) with all_15_2_7, all_504_1_499, all_510_4_504 and discharging atoms arboreal(all_15_2_7) = all_510_4_504, arboreal(all_15_2_7) = all_504_1_499, yields: % 165.32/110.08 | (612) all_510_4_504 = all_504_1_499 % 165.32/110.08 | % 165.32/110.08 | Instantiating formula (6) with tptp1, all_504_0_498, 0 and discharging atoms atomic(tptp1) = all_504_0_498, atomic(tptp1) = 0, yields: % 165.32/110.08 | (613) all_504_0_498 = 0 % 165.32/110.08 | % 165.32/110.08 | Combining equations (612,611) yields a new equation: % 165.32/110.08 | (614) all_504_1_499 = all_358_3_438 % 165.32/110.08 | % 165.32/110.08 | Simplifying 614 yields: % 165.32/110.08 | (615) all_504_1_499 = all_358_3_438 % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (596), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (616) ~ (all_504_0_498 = 0) % 165.32/110.08 | % 165.32/110.08 | Equations (613) can reduce 616 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (613) all_504_0_498 = 0 % 165.32/110.08 | (619) all_504_1_499 = 0 % 165.32/110.08 | % 165.32/110.08 | Combining equations (619,615) yields a new equation: % 165.32/110.08 | (620) all_358_3_438 = 0 % 165.32/110.08 | % 165.32/110.08 | Equations (620) can reduce 610 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (622) all_375_2_478 = 0 % 165.32/110.08 | (623) ~ (all_375_3_479 = 0) | all_375_0_476 = 0 | all_375_1_477 = 0 % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (623), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (624) ~ (all_375_3_479 = 0) % 165.32/110.08 | % 165.32/110.08 | Equations (559) can reduce 624 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (559) all_375_3_479 = 0 % 165.32/110.08 | (627) all_375_0_476 = 0 | all_375_1_477 = 0 % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (627), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (628) all_375_0_476 = 0 % 165.32/110.08 | % 165.32/110.08 | Equations (628) can reduce 567 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (567) ~ (all_375_0_476 = 0) % 165.32/110.08 | (631) all_375_1_477 = 0 % 165.32/110.08 | % 165.32/110.08 | Combining equations (631,558) yields a new equation: % 165.32/110.08 | (573) all_61_0_19 = 0 % 165.32/110.08 | % 165.32/110.08 | Equations (573) can reduce 572 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (634) all_95_0_65 = 0 % 165.32/110.08 | (635) ~ (all_95_3_68 = 0) | ( ~ (all_95_1_66 = 0) & ~ (all_95_2_67 = 0)) % 165.32/110.08 | % 165.32/110.08 +-Applying beta-rule and splitting (635), into two cases. % 165.32/110.08 |-Branch one: % 165.32/110.08 | (636) ~ (all_95_3_68 = 0) % 165.32/110.08 | % 165.32/110.08 | Equations (306) can reduce 636 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (306) all_95_3_68 = 0 % 165.32/110.08 | (639) ~ (all_95_1_66 = 0) & ~ (all_95_2_67 = 0) % 165.32/110.08 | % 165.32/110.08 | Applying alpha-rule on (639) yields: % 165.32/110.08 | (640) ~ (all_95_1_66 = 0) % 165.32/110.08 | (641) ~ (all_95_2_67 = 0) % 165.32/110.08 | % 165.32/110.08 | Equations (569) can reduce 640 to: % 165.32/110.08 | (152) $false % 165.32/110.08 | % 165.32/110.08 |-The branch is then unsatisfiable % 165.32/110.08 |-Branch two: % 165.32/110.08 | (643) ~ (all_15_0_5 = 0) % 165.32/110.08 | (644) all_15_1_6 = 0 % 165.32/110.08 | % 165.32/110.08 | Combining equations (644,337) yields a new equation: % 165.32/110.08 | (645) all_71_2_36 = 0 % 165.32/110.09 | % 165.32/110.09 | From (644) and (144) follows: % 165.32/110.09 | (646) occurrence_of(all_15_2_7, tptp2) = 0 % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (180), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (647) ~ (occurrence_of(all_15_2_7, tptp2) = 0) % 165.32/110.09 | % 165.32/110.09 | Using (646) and (647) yields: % 165.32/110.09 | (149) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (646) occurrence_of(all_15_2_7, tptp2) = 0 % 165.32/110.09 | (650) activity(tptp2) = 0 & activity_occurrence(all_15_2_7) = 0 % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (390), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (651) ~ (min_precedes(all_15_4_9, all_15_2_7, tptp0) = 0) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (223), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (652) ~ (all_71_0_34 = 0) % 165.32/110.09 | % 165.32/110.09 | Equations (334) can reduce 652 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (334) all_71_0_34 = 0 % 165.32/110.09 | (655) ~ (all_71_1_35 = 0) | ~ (all_71_3_37 = 0) | ( ~ (all_71_2_36 = 0) & ~ (all_15_0_5 = 0)) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (655), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (656) ~ (all_71_1_35 = 0) % 165.32/110.09 | % 165.32/110.09 | Equations (336) can reduce 656 to: % 165.32/110.09 | (572) ~ (all_61_0_19 = 0) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (386), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (573) all_61_0_19 = 0 % 165.32/110.09 | % 165.32/110.09 | Equations (573) can reduce 572 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (572) ~ (all_61_0_19 = 0) % 165.32/110.09 | (661) all_15_2_7 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v3 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = v4 & arboreal(all_15_2_7) = v1 & arboreal(all_15_4_9) = v2 & occurrence_of(all_4_0_1, tptp0) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (389), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (573) all_61_0_19 = 0 % 165.32/110.09 | % 165.32/110.09 | Equations (573) can reduce 572 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (572) ~ (all_61_0_19 = 0) % 165.32/110.09 | (665) ? [v0] : ? [v1] : (min_precedes(all_15_3_8, all_15_4_9, tptp0) = v0 & precedes(all_15_4_9, all_15_2_7) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (387), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (573) all_61_0_19 = 0 % 165.32/110.09 | % 165.32/110.09 | Equations (573) can reduce 572 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (572) ~ (all_61_0_19 = 0) % 165.32/110.09 | (576) all_15_2_7 = all_15_4_9 | ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v3 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = v4 & arboreal(all_15_2_7) = v2 & arboreal(all_15_4_9) = v1 & occurrence_of(all_4_0_1, tptp0) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (661), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (504) all_15_2_7 = all_15_4_9 % 165.32/110.09 | % 165.32/110.09 | Equations (504) can reduce 487 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (487) ~ (all_15_2_7 = all_15_4_9) % 165.32/110.09 | (673) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (subactivity_occurrence(all_15_2_7, all_4_0_1) = v3 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = v4 & arboreal(all_15_2_7) = v1 & arboreal(all_15_4_9) = v2 & occurrence_of(all_4_0_1, tptp0) = v0 & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | v4 = 0)) % 165.32/110.09 | % 165.32/110.09 | Instantiating (673) with all_516_0_512, all_516_1_513, all_516_2_514, all_516_3_515, all_516_4_516 yields: % 165.32/110.09 | (674) subactivity_occurrence(all_15_2_7, all_4_0_1) = all_516_1_513 & min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_516_0_512 & arboreal(all_15_2_7) = all_516_3_515 & arboreal(all_15_4_9) = all_516_2_514 & occurrence_of(all_4_0_1, tptp0) = all_516_4_516 & ( ~ (all_516_1_513 = 0) | ~ (all_516_2_514 = 0) | ~ (all_516_3_515 = 0) | ~ (all_516_4_516 = 0) | all_516_0_512 = 0) % 165.32/110.09 | % 165.32/110.09 | Applying alpha-rule on (674) yields: % 165.32/110.09 | (675) subactivity_occurrence(all_15_2_7, all_4_0_1) = all_516_1_513 % 165.32/110.09 | (676) occurrence_of(all_4_0_1, tptp0) = all_516_4_516 % 165.32/110.09 | (677) min_precedes(all_15_2_7, all_15_4_9, tptp0) = all_516_0_512 % 165.32/110.09 | (678) arboreal(all_15_4_9) = all_516_2_514 % 165.32/110.09 | (679) ~ (all_516_1_513 = 0) | ~ (all_516_2_514 = 0) | ~ (all_516_3_515 = 0) | ~ (all_516_4_516 = 0) | all_516_0_512 = 0 % 165.32/110.09 | (680) arboreal(all_15_2_7) = all_516_3_515 % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (523), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (681) ~ (all_380_2_482 = 0) % 165.32/110.09 | % 165.32/110.09 | Equations (552) can reduce 681 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (552) all_380_2_482 = 0 % 165.32/110.09 | (684) ~ (all_380_3_483 = 0) | all_380_0_480 = 0 | all_380_1_481 = 0 % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (684), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (685) ~ (all_380_3_483 = 0) % 165.32/110.09 | % 165.32/110.09 | Equations (551) can reduce 685 to: % 165.32/110.09 | (610) ~ (all_358_3_438 = 0) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (181), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (647) ~ (occurrence_of(all_15_2_7, tptp2) = 0) % 165.32/110.09 | % 165.32/110.09 | Using (646) and (647) yields: % 165.32/110.09 | (149) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (646) occurrence_of(all_15_2_7, tptp2) = 0 % 165.32/110.09 | (690) ? [v0] : ? [v1] : (arboreal(all_15_2_7) = v0 & atomic(tptp2) = v1 & ( ~ (v1 = 0) | v0 = 0) & ( ~ (v0 = 0) | v1 = 0)) % 165.32/110.09 | % 165.32/110.09 | Instantiating (690) with all_534_0_517, all_534_1_518 yields: % 165.32/110.09 | (691) arboreal(all_15_2_7) = all_534_1_518 & atomic(tptp2) = all_534_0_517 & ( ~ (all_534_0_517 = 0) | all_534_1_518 = 0) & ( ~ (all_534_1_518 = 0) | all_534_0_517 = 0) % 165.32/110.09 | % 165.32/110.09 | Applying alpha-rule on (691) yields: % 165.32/110.09 | (692) arboreal(all_15_2_7) = all_534_1_518 % 165.32/110.09 | (693) atomic(tptp2) = all_534_0_517 % 165.32/110.09 | (694) ~ (all_534_0_517 = 0) | all_534_1_518 = 0 % 165.32/110.09 | (695) ~ (all_534_1_518 = 0) | all_534_0_517 = 0 % 165.32/110.09 | % 165.32/110.09 | Instantiating formula (8) with all_15_2_7, all_534_1_518, all_358_3_438 and discharging atoms arboreal(all_15_2_7) = all_534_1_518, arboreal(all_15_2_7) = all_358_3_438, yields: % 165.32/110.09 | (696) all_534_1_518 = all_358_3_438 % 165.32/110.09 | % 165.32/110.09 | Instantiating formula (8) with all_15_2_7, all_516_3_515, all_534_1_518 and discharging atoms arboreal(all_15_2_7) = all_534_1_518, arboreal(all_15_2_7) = all_516_3_515, yields: % 165.32/110.09 | (697) all_534_1_518 = all_516_3_515 % 165.32/110.09 | % 165.32/110.09 | Instantiating formula (6) with tptp2, all_534_0_517, 0 and discharging atoms atomic(tptp2) = all_534_0_517, atomic(tptp2) = 0, yields: % 165.32/110.09 | (698) all_534_0_517 = 0 % 165.32/110.09 | % 165.32/110.09 | Combining equations (696,697) yields a new equation: % 165.32/110.09 | (699) all_516_3_515 = all_358_3_438 % 165.32/110.09 | % 165.32/110.09 | Combining equations (699,697) yields a new equation: % 165.32/110.09 | (696) all_534_1_518 = all_358_3_438 % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (694), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (701) ~ (all_534_0_517 = 0) % 165.32/110.09 | % 165.32/110.09 | Equations (698) can reduce 701 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (698) all_534_0_517 = 0 % 165.32/110.09 | (704) all_534_1_518 = 0 % 165.32/110.09 | % 165.32/110.09 | Combining equations (704,696) yields a new equation: % 165.32/110.09 | (620) all_358_3_438 = 0 % 165.32/110.09 | % 165.32/110.09 | Equations (620) can reduce 610 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (707) all_380_3_483 = 0 % 165.32/110.09 | (708) all_380_0_480 = 0 | all_380_1_481 = 0 % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (708), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (709) all_380_0_480 = 0 % 165.32/110.09 | % 165.32/110.09 | Combining equations (709,546) yields a new equation: % 165.32/110.09 | (573) all_61_0_19 = 0 % 165.32/110.09 | % 165.32/110.09 | Equations (573) can reduce 572 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (712) ~ (all_380_0_480 = 0) % 165.32/110.09 | (713) all_380_1_481 = 0 % 165.32/110.09 | % 165.32/110.09 | Combining equations (713,545) yields a new equation: % 165.32/110.09 | (628) all_375_0_476 = 0 % 165.32/110.09 | % 165.32/110.09 | Equations (628) can reduce 567 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (716) all_71_1_35 = 0 % 165.32/110.09 | (717) ~ (all_71_3_37 = 0) | ( ~ (all_71_2_36 = 0) & ~ (all_15_0_5 = 0)) % 165.32/110.09 | % 165.32/110.09 | Combining equations (716,336) yields a new equation: % 165.32/110.09 | (573) all_61_0_19 = 0 % 165.32/110.09 | % 165.32/110.09 | From (573) and (198) follows: % 165.32/110.09 | (719) min_precedes(all_15_4_9, all_15_2_7, tptp0) = 0 % 165.32/110.09 | % 165.32/110.09 | Using (719) and (651) yields: % 165.32/110.09 | (149) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (719) min_precedes(all_15_4_9, all_15_2_7, tptp0) = 0 % 165.32/110.09 | (722) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (leaf_occ(all_15_2_7, all_4_0_1) = v4 & root_occ(all_15_4_9, all_4_0_1) = v1 & occurrence_of(all_15_2_7, tptp1) = v3 & occurrence_of(all_15_2_7, tptp2) = v2 & occurrence_of(all_15_4_9, tptp3) = v0 & ( ~ (v4 = 0) | ~ (v1 = 0) | ~ (v0 = 0) | ( ~ (v3 = 0) & ~ (v2 = 0)))) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (223), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (652) ~ (all_71_0_34 = 0) % 165.32/110.09 | % 165.32/110.09 | Equations (334) can reduce 652 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (334) all_71_0_34 = 0 % 165.32/110.09 | (655) ~ (all_71_1_35 = 0) | ~ (all_71_3_37 = 0) | ( ~ (all_71_2_36 = 0) & ~ (all_15_0_5 = 0)) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (655), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (656) ~ (all_71_1_35 = 0) % 165.32/110.09 | % 165.32/110.09 | Equations (336) can reduce 656 to: % 165.32/110.09 | (572) ~ (all_61_0_19 = 0) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (481), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (651) ~ (min_precedes(all_15_4_9, all_15_2_7, tptp0) = 0) % 165.32/110.09 | % 165.32/110.09 | Using (719) and (651) yields: % 165.32/110.09 | (149) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (719) min_precedes(all_15_4_9, all_15_2_7, tptp0) = 0 % 165.32/110.09 | (573) all_61_0_19 = 0 % 165.32/110.09 | % 165.32/110.09 | Equations (573) can reduce 572 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (716) all_71_1_35 = 0 % 165.32/110.09 | (717) ~ (all_71_3_37 = 0) | ( ~ (all_71_2_36 = 0) & ~ (all_15_0_5 = 0)) % 165.32/110.09 | % 165.32/110.09 +-Applying beta-rule and splitting (717), into two cases. % 165.32/110.09 |-Branch one: % 165.32/110.09 | (736) ~ (all_71_3_37 = 0) % 165.32/110.09 | % 165.32/110.09 | Equations (352) can reduce 736 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (352) all_71_3_37 = 0 % 165.32/110.09 | (739) ~ (all_71_2_36 = 0) & ~ (all_15_0_5 = 0) % 165.32/110.09 | % 165.32/110.09 | Applying alpha-rule on (739) yields: % 165.32/110.09 | (740) ~ (all_71_2_36 = 0) % 165.32/110.09 | (643) ~ (all_15_0_5 = 0) % 165.32/110.09 | % 165.32/110.09 | Equations (645) can reduce 740 to: % 165.32/110.09 | (152) $false % 165.32/110.09 | % 165.32/110.09 |-The branch is then unsatisfiable % 165.32/110.09 |-Branch two: % 165.32/110.09 | (743) min_precedes(all_15_3_8, all_15_3_8, tptp0) = 0 % 165.32/110.09 | (744) ? [v0] : ( ~ (v0 = 0) & min_precedes(all_15_4_9, all_15_3_8, tptp0) = v0) % 165.32/110.10 | % 165.32/110.10 +-Applying beta-rule and splitting (391), into two cases. % 165.32/110.10 |-Branch one: % 165.32/110.10 | (423) ~ (min_precedes(all_15_3_8, all_15_3_8, tptp0) = 0) % 165.32/110.10 | % 165.32/110.10 | Using (743) and (423) yields: % 165.32/110.10 | (149) $false % 165.32/110.10 | % 165.32/110.10 |-The branch is then unsatisfiable % 165.32/110.10 |-Branch two: % 165.32/110.10 | (743) min_precedes(all_15_3_8, all_15_3_8, tptp0) = 0 % 165.32/110.10 | (748) ? [v0] : ? [v1] : (min_precedes(all_15_3_8, all_15_4_9, tptp0) = v1 & precedes(all_15_3_8, all_15_4_9) = v0 & ( ~ (v0 = 0) | v1 = 0)) % 165.32/110.10 | % 165.32/110.10 | Instantiating formula (17) with all_15_3_8, all_15_3_8, tptp0, all_240_0_160, 0 and discharging atoms min_precedes(all_15_3_8, all_15_3_8, tptp0) = all_240_0_160, min_precedes(all_15_3_8, all_15_3_8, tptp0) = 0, yields: % 165.32/110.10 | (749) all_240_0_160 = 0 % 165.32/110.10 | % 165.32/110.10 | Instantiating formula (17) with all_15_3_8, all_15_3_8, tptp0, all_212_0_120, all_240_0_160 and discharging atoms min_precedes(all_15_3_8, all_15_3_8, tptp0) = all_240_0_160, min_precedes(all_15_3_8, all_15_3_8, tptp0) = all_212_0_120, yields: % 165.32/110.10 | (750) all_240_0_160 = all_212_0_120 % 165.32/110.10 | % 165.32/110.10 | Combining equations (749,750) yields a new equation: % 165.32/110.10 | (751) all_212_0_120 = 0 % 165.32/110.10 | % 165.32/110.10 | Combining equations (751,750) yields a new equation: % 165.32/110.10 | (749) all_240_0_160 = 0 % 165.32/110.10 | % 165.32/110.10 | Equations (749) can reduce 421 to: % 165.32/110.10 | (152) $false % 165.32/110.10 | % 165.32/110.10 |-The branch is then unsatisfiable % 165.32/110.10 |-Branch two: % 165.32/110.10 | (754) occurrence_of(all_15_4_9, tptp4) = 0 % 165.32/110.10 | (755) tptp4 = tptp3 % 165.32/110.10 | % 165.32/110.10 | Equations (755) can reduce 39 to: % 165.32/110.10 | (152) $false % 165.32/110.10 | % 165.32/110.10 |-The branch is then unsatisfiable % 165.32/110.10 % SZS output end Proof for theBenchmark % 165.32/110.10 % 165.32/110.10 109489ms %------------------------------------------------------------------------------