%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : SEV548+1 : TPTP v9.1.0. Released v9.1.0. % 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 : 300s % DateTime : Tue Apr 1 02:01:00 AM UTC 2025 % Result : Theorem 159.96s 113.22s % Output : Proof 186.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEV548+1 : TPTP v9.1.0. Released v9.1.0. % 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n017.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Mon Mar 31 11:43:55 EDT 2025 % 0.12/0.34 % CPUTime : % 0.54/0.58 ____ _ % 0.54/0.58 ___ / __ \_____(_)___ ________ __________ % 0.54/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.54/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.54/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.54/0.58 % 0.54/0.58 A Theorem Prover for First-Order Logic % 0.54/0.58 (ePrincess v.1.0) % 0.54/0.58 % 0.54/0.58 (c) Philipp Rümmer, 2009-2015 % 0.54/0.58 (c) Peter Backeman, 2014-2015 % 0.54/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.54/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.54/0.58 Bug reports to peter@backeman.se % 0.54/0.58 % 0.54/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.54/0.58 % 0.54/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.54/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.56/0.93 Prover 0: Preprocessing ... % 2.37/1.19 Prover 0: Warning: ignoring some quantifiers % 2.37/1.22 Prover 0: Constructing countermodel ... % 18.47/5.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 18.65/5.98 Prover 1: Preprocessing ... % 19.61/6.16 Prover 1: Constructing countermodel ... % 24.96/7.45 Prover 1: gave up % 24.96/7.45 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 25.15/7.49 Prover 2: Preprocessing ... % 25.72/7.62 Prover 2: Warning: ignoring some quantifiers % 25.72/7.63 Prover 2: Constructing countermodel ... % 31.79/9.12 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 32.22/9.16 Prover 3: Preprocessing ... % 32.51/9.19 Prover 3: Warning: ignoring some quantifiers % 32.51/9.20 Prover 3: Constructing countermodel ... % 85.78/51.81 Prover 3: stopped % 86.16/52.01 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete % 86.16/52.01 Prover 0: stopped % 86.35/52.05 Prover 4: Preprocessing ... % 86.82/52.16 Prover 4: Warning: ignoring some quantifiers % 86.82/52.17 Prover 4: Constructing countermodel ... % 88.54/52.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 88.54/52.69 Prover 5: Preprocessing ... % 88.85/52.74 Prover 5: Constructing countermodel ... % 102.57/62.67 Prover 5: stopped % 102.79/62.87 Prover 6: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 102.85/62.90 Prover 6: Preprocessing ... % 103.10/62.98 Prover 6: Warning: ignoring some quantifiers % 103.10/62.98 Prover 6: Constructing countermodel ... % 159.96/113.22 Prover 6: proved (26769ms) % 159.96/113.22 Prover 2: stopped % 159.96/113.22 Prover 4: stopped % 159.96/113.22 % 159.96/113.22 No countermodel exists, formula is valid % 159.96/113.22 % SZS status Theorem for theBenchmark % 159.96/113.22 % 159.96/113.22 Generating proof ... Warning: ignoring some quantifiers % 178.76/124.54 found it (size 11489) % 178.76/124.54 % 178.76/124.54 % SZS output start Proof for theBenchmark % 178.76/124.54 Assumed formulas after preprocessing and simplification: % 178.76/124.54 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (atleast7p(v9) = 0 & n(v6) = v7 & n(v3) = v6 & n(v0) = v1 & n(e) = v0 & u(v5, v7) = v8 & u(v2, v8) = v9 & s(v4) = v5 & s(v3) = v4 & s(v1) = v2 & s(v0) = v3 & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (m(v11, v12) = v13) | ~ (mem(v10, v13) = v14) | ? [v15] : ((v15 = 0 & mem(v10, v12) = 0) | ( ~ (v15 = 0) & mem(v10, v11) = v15))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (u(v11, v12) = v13) | ~ (mem(v10, v13) = v14) | ? [v15] : ? [v16] : ( ~ (v16 = 0) & ~ (v15 = 0) & mem(v10, v12) = v16 & mem(v10, v11) = v15)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast16p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast15p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast15p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast14p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast14p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast13p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast13p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast12p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast12p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast11p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast11p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast10p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast10p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast9p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast9p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast8p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast8p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast7p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast7p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast6p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast6p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast5p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast5p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast4p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast4p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast3p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | v11 = 0 | ~ (atleast3p(v10) = v11) | ~ (subq(v10, v12) = v13) | ? [v14] : (( ~ (v14 = 0) & atleast2p(v12) = v14) | ( ~ (v14 = 0) & subq(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (p(v11) = v12) | ~ (mem(v10, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & subq(v10, v11) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v13 = 0 | ~ (subq(v10, v11) = 0) | ~ (mem(v12, v11) = v13) | ? [v14] : ( ~ (v14 = 0) & mem(v12, v10) = v14)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (a(v13, v12) = v11) | ~ (a(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (m(v13, v12) = v11) | ~ (m(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (u(v13, v12) = v11) | ~ (u(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (disj(v13, v12) = v11) | ~ (disj(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (subq(v13, v12) = v11) | ~ (subq(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = v10 | ~ (mem(v13, v12) = v11) | ~ (mem(v13, v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v11 = 0 | ~ (atleast2p(v10) = v11) | ~ (p(v12) = v13) | ? [v14] : ((v14 = 0 & subq(v10, v13) = 0) | ( ~ (v14 = 0) & mem(v12, v10) = v14))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (m(v11, v12) = v13) | ~ (mem(v10, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & mem(v10, v12) = v14 & mem(v10, v11) = 0)) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (u(v11, v12) = v13) | ~ (mem(v10, v13) = 0) | ? [v14] : ((v14 = 0 & mem(v10, v12) = 0) | (v14 = 0 & mem(v10, v11) = 0))) & ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (u(v10, v12) = v13) | ~ (s(v11) = v12) | a(v10, v11) = v13) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (s(v10) = v11) | ~ (mem(v10, v11) = v12)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (disj(v10, v11) = v12) | ? [v13] : (mem(v13, v11) = 0 & mem(v13, v10) = 0)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (subq(v10, v11) = v12) | ? [v13] : ? [v14] : ( ~ (v14 = 0) & p(v11) = v13 & mem(v10, v13) = v14)) & ! [v10] : ! [v11] : ! [v12] : (v12 = 0 | ~ (subq(v10, v11) = v12) | ? [v13] : ? [v14] : ( ~ (v14 = 0) & mem(v13, v11) = v14 & mem(v13, v10) = 0)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast16p(v12) = v11) | ~ (atleast16p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast15p(v12) = v11) | ~ (atleast15p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast14p(v12) = v11) | ~ (atleast14p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast13p(v12) = v11) | ~ (atleast13p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast12p(v12) = v11) | ~ (atleast12p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast11p(v12) = v11) | ~ (atleast11p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast10p(v12) = v11) | ~ (atleast10p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast9p(v12) = v11) | ~ (atleast9p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast8p(v12) = v11) | ~ (atleast8p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast7p(v12) = v11) | ~ (atleast7p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast6p(v12) = v11) | ~ (atleast6p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast5p(v12) = v11) | ~ (atleast5p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast4p(v12) = v11) | ~ (atleast4p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast3p(v12) = v11) | ~ (atleast3p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (atleast2p(v12) = v11) | ~ (atleast2p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (p(v12) = v11) | ~ (p(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (n(v12) = v11) | ~ (n(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (s(v12) = v11) | ~ (s(v12) = v10)) & ! [v10] : ! [v11] : ! [v12] : (v11 = v10 | ~ (s(v11) = v12) | ~ (mem(v10, v12) = 0)) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast16p(v10) = v11) | ~ (atleast15p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast16p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast15p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast15p(v10) = v11) | ~ (atleast14p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast15p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast14p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast14p(v10) = v11) | ~ (atleast13p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast14p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast13p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast13p(v10) = v11) | ~ (atleast12p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast13p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast12p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast12p(v10) = v11) | ~ (atleast11p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast12p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast11p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast11p(v10) = v11) | ~ (atleast10p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast11p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast10p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast10p(v10) = v11) | ~ (atleast9p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast10p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast9p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast9p(v10) = v11) | ~ (atleast8p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast9p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast8p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast8p(v10) = v11) | ~ (atleast7p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast8p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast7p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast7p(v10) = v11) | ~ (atleast6p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast7p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast6p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast6p(v10) = v11) | ~ (atleast5p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast6p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast5p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast5p(v10) = v11) | ~ (atleast4p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast5p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast4p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast4p(v10) = v11) | ~ (atleast3p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast4p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast3p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast3p(v10) = v11) | ~ (atleast2p(v12) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & subq(v12, v10) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast3p(v10) = v11) | ~ (subq(v12, v10) = 0) | ? [v13] : ((v13 = 0 & subq(v10, v12) = 0) | ( ~ (v13 = 0) & atleast2p(v12) = v13))) & ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (atleast2p(v10) = v11) | ~ (mem(v12, v10) = 0) | ? [v13] : (p(v12) = v13 & subq(v10, v13) = 0)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (p(v11) = v12) | ~ (mem(v10, v12) = 0) | subq(v10, v11) = 0) & ! [v10] : ! [v11] : ! [v12] : ( ~ (a(v10, v11) = v12) | ? [v13] : (u(v10, v13) = v12 & s(v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (disj(v10, v11) = 0) | ~ (mem(v12, v11) = 0) | ? [v13] : ( ~ (v13 = 0) & mem(v12, v10) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (disj(v10, v11) = 0) | ~ (mem(v12, v10) = 0) | ? [v13] : ( ~ (v13 = 0) & mem(v12, v11) = v13)) & ! [v10] : ! [v11] : ! [v12] : ( ~ (subq(v10, v11) = 0) | ~ (mem(v12, v10) = 0) | mem(v12, v11) = 0) & ! [v10] : ! [v11] : (v11 = v10 | ~ (subq(v11, v10) = 0) | ? [v12] : ( ~ (v12 = 0) & subq(v10, v11) = v12)) & ! [v10] : ! [v11] : (v11 = v10 | ~ (subq(v10, v11) = 0) | ? [v12] : ( ~ (v12 = 0) & subq(v11, v10) = v12)) & ! [v10] : ! [v11] : ( ~ (n(v10) = v11) | a(v10, v10) = v11) & ! [v10] : ! [v11] : ( ~ (a(v10, v10) = v11) | n(v10) = v11) & ! [v10] : ! [v11] : ( ~ (subq(v10, v11) = 0) | ? [v12] : (p(v11) = v12 & mem(v10, v12) = 0)) & ! [v10] : ( ~ (atleast16p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast15p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast15p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast14p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast14p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast13p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast13p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast12p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast12p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast11p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast11p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast10p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast10p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast9p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast9p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast8p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast8p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast7p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast7p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast6p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast6p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast5p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast5p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast4p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast4p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast3p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast3p(v10) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & atleast2p(v11) = 0 & subq(v11, v10) = 0 & subq(v10, v11) = v12)) & ! [v10] : ( ~ (atleast2p(v10) = 0) | ? [v11] : ? [v12] : ? [v13] : ( ~ (v13 = 0) & p(v11) = v12 & subq(v10, v12) = v13 & mem(v11, v10) = 0)) & ! [v10] : ~ (mem(v10, e) = 0) & ? [v10] : ? [v11] : ? [v12] : a(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : m(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : u(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : disj(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : subq(v11, v10) = v12 & ? [v10] : ? [v11] : ? [v12] : mem(v11, v10) = v12 & ? [v10] : ? [v11] : atleast16p(v10) = v11 & ? [v10] : ? [v11] : atleast15p(v10) = v11 & ? [v10] : ? [v11] : atleast14p(v10) = v11 & ? [v10] : ? [v11] : atleast13p(v10) = v11 & ? [v10] : ? [v11] : atleast12p(v10) = v11 & ? [v10] : ? [v11] : atleast11p(v10) = v11 & ? [v10] : ? [v11] : atleast10p(v10) = v11 & ? [v10] : ? [v11] : atleast9p(v10) = v11 & ? [v10] : ? [v11] : atleast8p(v10) = v11 & ? [v10] : ? [v11] : atleast7p(v10) = v11 & ? [v10] : ? [v11] : atleast6p(v10) = v11 & ? [v10] : ? [v11] : atleast5p(v10) = v11 & ? [v10] : ? [v11] : atleast4p(v10) = v11 & ? [v10] : ? [v11] : atleast3p(v10) = v11 & ? [v10] : ? [v11] : atleast2p(v10) = v11 & ? [v10] : ? [v11] : p(v10) = v11 & ? [v10] : ? [v11] : n(v10) = v11 & ? [v10] : ? [v11] : s(v10) = v11) % 178.76/124.61 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9 yields: % 178.76/124.61 | (1) atleast7p(all_0_0_0) = 0 & n(all_0_3_3) = all_0_2_2 & n(all_0_6_6) = all_0_3_3 & n(all_0_9_9) = all_0_8_8 & n(e) = all_0_9_9 & u(all_0_4_4, all_0_2_2) = all_0_1_1 & u(all_0_7_7, all_0_1_1) = all_0_0_0 & s(all_0_5_5) = all_0_4_4 & s(all_0_6_6) = all_0_5_5 & s(all_0_8_8) = all_0_7_7 & s(all_0_9_9) = all_0_6_6 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (m(v1, v2) = v3) | ~ (mem(v0, v3) = v4) | ? [v5] : ((v5 = 0 & mem(v0, v2) = 0) | ( ~ (v5 = 0) & mem(v0, v1) = v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (u(v1, v2) = v3) | ~ (mem(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & mem(v0, v2) = v6 & mem(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast15p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast14p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast13p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast12p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast11p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast10p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast9p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast8p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast7p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast6p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast5p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast4p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast3p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast2p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (p(v1) = v2) | ~ (mem(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subq(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subq(v0, v1) = 0) | ~ (mem(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & mem(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a(v3, v2) = v1) | ~ (a(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m(v3, v2) = v1) | ~ (m(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (u(v3, v2) = v1) | ~ (u(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disj(v3, v2) = v1) | ~ (disj(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subq(v3, v2) = v1) | ~ (subq(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (mem(v3, v2) = v1) | ~ (mem(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = 0 | ~ (atleast2p(v0) = v1) | ~ (p(v2) = v3) | ? [v4] : ((v4 = 0 & subq(v0, v3) = 0) | ( ~ (v4 = 0) & mem(v2, v0) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m(v1, v2) = v3) | ~ (mem(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & mem(v0, v2) = v4 & mem(v0, v1) = 0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u(v1, v2) = v3) | ~ (mem(v0, v3) = 0) | ? [v4] : ((v4 = 0 & mem(v0, v2) = 0) | (v4 = 0 & mem(v0, v1) = 0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u(v0, v2) = v3) | ~ (s(v1) = v2) | a(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (s(v0) = v1) | ~ (mem(v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disj(v0, v1) = v2) | ? [v3] : (mem(v3, v1) = 0 & mem(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & p(v1) = v3 & mem(v0, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & mem(v3, v1) = v4 & mem(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast16p(v2) = v1) | ~ (atleast16p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast15p(v2) = v1) | ~ (atleast15p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast14p(v2) = v1) | ~ (atleast14p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast13p(v2) = v1) | ~ (atleast13p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast12p(v2) = v1) | ~ (atleast12p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast11p(v2) = v1) | ~ (atleast11p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast10p(v2) = v1) | ~ (atleast10p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast9p(v2) = v1) | ~ (atleast9p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast8p(v2) = v1) | ~ (atleast8p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast7p(v2) = v1) | ~ (atleast7p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast6p(v2) = v1) | ~ (atleast6p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast5p(v2) = v1) | ~ (atleast5p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast4p(v2) = v1) | ~ (atleast4p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast3p(v2) = v1) | ~ (atleast3p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast2p(v2) = v1) | ~ (atleast2p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (n(v2) = v1) | ~ (n(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v1) = v2) | ~ (mem(v0, v2) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (atleast15p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast15p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (atleast14p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast14p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (atleast13p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast13p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (atleast12p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast12p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (atleast11p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast11p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (atleast10p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast10p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (atleast9p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast9p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (atleast8p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast8p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (atleast7p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast7p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (atleast6p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast6p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (atleast5p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast5p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (atleast4p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast4p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (atleast3p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast3p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (atleast2p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast2p(v2) = v3))) & ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast2p(v0) = v1) | ~ (mem(v2, v0) = 0) | ? [v3] : (p(v2) = v3 & subq(v0, v3) = 0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (p(v1) = v2) | ~ (mem(v0, v2) = 0) | subq(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (a(v0, v1) = v2) | ? [v3] : (u(v0, v3) = v2 & s(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (disj(v0, v1) = 0) | ~ (mem(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & mem(v2, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (disj(v0, v1) = 0) | ~ (mem(v2, v0) = 0) | ? [v3] : ( ~ (v3 = 0) & mem(v2, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subq(v0, v1) = 0) | ~ (mem(v2, v0) = 0) | mem(v2, v1) = 0) & ! [v0] : ! [v1] : (v1 = v0 | ~ (subq(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & subq(v0, v1) = v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (subq(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & subq(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (n(v0) = v1) | a(v0, v0) = v1) & ! [v0] : ! [v1] : ( ~ (a(v0, v0) = v1) | n(v0) = v1) & ! [v0] : ! [v1] : ( ~ (subq(v0, v1) = 0) | ? [v2] : (p(v1) = v2 & mem(v0, v2) = 0)) & ! [v0] : ( ~ (atleast16p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast15p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast15p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast14p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast14p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast13p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast13p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast12p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast12p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast11p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast11p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast10p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast10p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast9p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast9p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast8p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast8p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast7p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast7p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast6p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast6p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast5p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast5p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast4p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast4p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast3p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast3p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast2p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) & ! [v0] : ( ~ (atleast2p(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & p(v1) = v2 & subq(v0, v2) = v3 & mem(v1, v0) = 0)) & ! [v0] : ~ (mem(v0, e) = 0) & ? [v0] : ? [v1] : ? [v2] : a(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : m(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : u(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : disj(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : subq(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : mem(v1, v0) = v2 & ? [v0] : ? [v1] : atleast16p(v0) = v1 & ? [v0] : ? [v1] : atleast15p(v0) = v1 & ? [v0] : ? [v1] : atleast14p(v0) = v1 & ? [v0] : ? [v1] : atleast13p(v0) = v1 & ? [v0] : ? [v1] : atleast12p(v0) = v1 & ? [v0] : ? [v1] : atleast11p(v0) = v1 & ? [v0] : ? [v1] : atleast10p(v0) = v1 & ? [v0] : ? [v1] : atleast9p(v0) = v1 & ? [v0] : ? [v1] : atleast8p(v0) = v1 & ? [v0] : ? [v1] : atleast7p(v0) = v1 & ? [v0] : ? [v1] : atleast6p(v0) = v1 & ? [v0] : ? [v1] : atleast5p(v0) = v1 & ? [v0] : ? [v1] : atleast4p(v0) = v1 & ? [v0] : ? [v1] : atleast3p(v0) = v1 & ? [v0] : ? [v1] : atleast2p(v0) = v1 & ? [v0] : ? [v1] : p(v0) = v1 & ? [v0] : ? [v1] : n(v0) = v1 & ? [v0] : ? [v1] : s(v0) = v1 % 179.14/124.64 | % 179.14/124.64 | Applying alpha-rule on (1) yields: % 179.14/124.64 | (2) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (atleast14p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.64 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (atleast7p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.64 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast7p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.64 | (5) ? [v0] : ? [v1] : ? [v2] : a(v1, v0) = v2 % 179.14/124.64 | (6) ? [v0] : ? [v1] : atleast4p(v0) = v1 % 179.14/124.64 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast13p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.64 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast3p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.64 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast12p(v2) = v1) | ~ (atleast12p(v2) = v0)) % 179.14/124.64 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (atleast3p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.64 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast4p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast3p(v2) = v3))) % 179.14/124.64 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (atleast15p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.64 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast2p(v2) = v1) | ~ (atleast2p(v2) = v0)) % 179.14/124.64 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (atleast9p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.65 | (15) ! [v0] : ( ~ (atleast12p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast11p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.65 | (16) ! [v0] : ( ~ (atleast11p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast10p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.65 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast4p(v2) = v1) | ~ (atleast4p(v2) = v0)) % 179.14/124.65 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (u(v1, v2) = v3) | ~ (mem(v0, v3) = v4) | ? [v5] : ? [v6] : ( ~ (v6 = 0) & ~ (v5 = 0) & mem(v0, v2) = v6 & mem(v0, v1) = v5)) % 179.14/124.65 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (atleast6p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.65 | (20) ! [v0] : ( ~ (atleast9p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast8p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.65 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast12p(v2) = v3))) % 179.14/124.65 | (22) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast2p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.65 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast8p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.65 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (u(v3, v2) = v1) | ~ (u(v3, v2) = v0)) % 179.14/124.65 | (25) ! [v0] : ! [v1] : ( ~ (a(v0, v0) = v1) | n(v0) = v1) % 179.14/124.65 | (26) ! [v0] : ! [v1] : ( ~ (n(v0) = v1) | a(v0, v0) = v1) % 179.14/124.65 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast11p(v2) = v1) | ~ (atleast11p(v2) = v0)) % 179.14/124.65 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (atleast11p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.65 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast12p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.65 | (30) atleast7p(all_0_0_0) = 0 % 179.14/124.65 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subq(v3, v2) = v1) | ~ (subq(v3, v2) = v0)) % 179.14/124.65 | (32) ! [v0] : ! [v1] : ! [v2] : ( ~ (p(v1) = v2) | ~ (mem(v0, v2) = 0) | subq(v0, v1) = 0) % 179.14/124.65 | (33) ? [v0] : ? [v1] : atleast9p(v0) = v1 % 179.14/124.65 | (34) ! [v0] : ! [v1] : (v1 = v0 | ~ (subq(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & subq(v0, v1) = v2)) % 179.14/124.65 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = 0 | ~ (atleast2p(v0) = v1) | ~ (p(v2) = v3) | ? [v4] : ((v4 = 0 & subq(v0, v3) = 0) | ( ~ (v4 = 0) & mem(v2, v0) = v4))) % 179.14/124.65 | (36) ! [v0] : ( ~ (atleast5p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast4p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.65 | (37) ! [v0] : ( ~ (atleast14p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast13p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.65 | (38) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast4p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.65 | (39) ? [v0] : ? [v1] : ? [v2] : m(v1, v0) = v2 % 179.14/124.65 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast15p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.65 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (n(v2) = v1) | ~ (n(v2) = v0)) % 179.14/124.66 | (42) ? [v0] : ? [v1] : s(v0) = v1 % 179.14/124.66 | (43) ? [v0] : ? [v1] : atleast11p(v0) = v1 % 179.14/124.66 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast16p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast15p(v2) = v3))) % 179.14/124.66 | (45) ! [v0] : ( ~ (atleast16p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast15p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.66 | (46) ! [v0] : ( ~ (atleast4p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast3p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.66 | (47) n(all_0_6_6) = all_0_3_3 % 179.14/124.66 | (48) ? [v0] : ? [v1] : n(v0) = v1 % 179.14/124.66 | (49) s(all_0_8_8) = all_0_7_7 % 179.14/124.66 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast7p(v2) = v1) | ~ (atleast7p(v2) = v0)) % 179.14/124.66 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast6p(v2) = v3))) % 179.14/124.66 | (52) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & p(v1) = v3 & mem(v0, v3) = v4)) % 179.14/124.66 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (m(v1, v2) = v3) | ~ (mem(v0, v3) = 0) | ? [v4] : ( ~ (v4 = 0) & mem(v0, v2) = v4 & mem(v0, v1) = 0)) % 179.14/124.66 | (54) ? [v0] : ? [v1] : atleast14p(v0) = v1 % 179.14/124.66 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast8p(v2) = v3))) % 179.14/124.66 | (56) u(all_0_7_7, all_0_1_1) = all_0_0_0 % 179.14/124.66 | (57) ! [v0] : ( ~ (atleast10p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast9p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.66 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (mem(v3, v2) = v1) | ~ (mem(v3, v2) = v0)) % 179.14/124.66 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (atleast2p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.66 | (60) ? [v0] : ? [v1] : p(v0) = v1 % 179.14/124.66 | (61) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast13p(v0) = v1) | ~ (atleast12p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.66 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (p(v1) = v2) | ~ (mem(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subq(v0, v1) = v4)) % 179.14/124.66 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast5p(v2) = v1) | ~ (atleast5p(v2) = v0)) % 179.14/124.66 | (64) ! [v0] : ! [v1] : ! [v2] : ( ~ (disj(v0, v1) = 0) | ~ (mem(v2, v1) = 0) | ? [v3] : ( ~ (v3 = 0) & mem(v2, v0) = v3)) % 179.14/124.66 | (65) ? [v0] : ? [v1] : atleast5p(v0) = v1 % 179.14/124.66 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast14p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.66 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (atleast4p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.66 | (68) ! [v0] : ( ~ (atleast8p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast7p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.66 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u(v1, v2) = v3) | ~ (mem(v0, v3) = 0) | ? [v4] : ((v4 = 0 & mem(v0, v2) = 0) | (v4 = 0 & mem(v0, v1) = 0))) % 179.14/124.66 | (70) ! [v0] : ! [v1] : ( ~ (subq(v0, v1) = 0) | ? [v2] : (p(v1) = v2 & mem(v0, v2) = 0)) % 179.14/124.66 | (71) u(all_0_4_4, all_0_2_2) = all_0_1_1 % 179.14/124.66 | (72) ? [v0] : ? [v1] : atleast16p(v0) = v1 % 179.14/124.66 | (73) s(all_0_6_6) = all_0_5_5 % 179.14/124.66 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast9p(v0) = v1) | ~ (atleast8p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.66 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast8p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast7p(v2) = v3))) % 179.14/124.67 | (76) ? [v0] : ? [v1] : atleast7p(v0) = v1 % 179.14/124.67 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast9p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.67 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast10p(v2) = v1) | ~ (atleast10p(v2) = v0)) % 179.14/124.67 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0)) % 179.14/124.67 | (80) ? [v0] : ? [v1] : atleast8p(v0) = v1 % 179.14/124.67 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (atleast10p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.67 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast8p(v2) = v1) | ~ (atleast8p(v2) = v0)) % 179.14/124.67 | (83) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (disj(v3, v2) = v1) | ~ (disj(v3, v2) = v0)) % 179.14/124.67 | (84) ? [v0] : ? [v1] : atleast6p(v0) = v1 % 179.14/124.67 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast13p(v2) = v1) | ~ (atleast13p(v2) = v0)) % 179.14/124.67 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (atleast5p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.67 | (87) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (disj(v0, v1) = v2) | ? [v3] : (mem(v3, v1) = 0 & mem(v3, v0) = 0)) % 179.14/124.67 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast14p(v2) = v1) | ~ (atleast14p(v2) = v0)) % 179.14/124.67 | (89) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast7p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast6p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.67 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast3p(v2) = v1) | ~ (atleast3p(v2) = v0)) % 179.14/124.67 | (91) ! [v0] : ( ~ (atleast2p(v0) = 0) | ? [v1] : ? [v2] : ? [v3] : ( ~ (v3 = 0) & p(v1) = v2 & subq(v0, v2) = v3 & mem(v1, v0) = 0)) % 179.14/124.67 | (92) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (atleast13p(v2) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & subq(v2, v0) = v3))) % 179.14/124.67 | (93) s(all_0_5_5) = all_0_4_4 % 179.14/124.67 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast5p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.67 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast3p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast2p(v2) = v3))) % 179.14/124.67 | (96) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast10p(v2) = v3))) % 179.14/124.67 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (s(v1) = v2) | ~ (mem(v0, v2) = 0)) % 179.14/124.67 | (98) ? [v0] : ? [v1] : atleast2p(v0) = v1 % 179.14/124.67 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast16p(v2) = v1) | ~ (atleast16p(v2) = v0)) % 179.14/124.67 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (m(v1, v2) = v3) | ~ (mem(v0, v3) = v4) | ? [v5] : ((v5 = 0 & mem(v0, v2) = 0) | ( ~ (v5 = 0) & mem(v0, v1) = v5))) % 179.14/124.67 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast11p(v2) = v3))) % 179.14/124.67 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast5p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast4p(v2) = v3))) % 179.14/124.67 | (103) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subq(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & mem(v3, v1) = v4 & mem(v3, v0) = 0)) % 179.14/124.67 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast15p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast14p(v2) = v3))) % 179.14/124.67 | (105) ? [v0] : ? [v1] : atleast15p(v0) = v1 % 179.14/124.67 | (106) ? [v0] : ? [v1] : ? [v2] : u(v1, v0) = v2 % 179.14/124.68 | (107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast11p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast10p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.68 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast9p(v2) = v1) | ~ (atleast9p(v2) = v0)) % 179.14/124.68 | (109) ? [v0] : ? [v1] : atleast10p(v0) = v1 % 179.14/124.68 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast2p(v0) = v1) | ~ (mem(v2, v0) = 0) | ? [v3] : (p(v2) = v3 & subq(v0, v3) = 0)) % 179.14/124.68 | (111) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0)) % 179.14/124.68 | (112) ? [v0] : ? [v1] : atleast12p(v0) = v1 % 179.14/124.68 | (113) ! [v0] : ! [v1] : ! [v2] : ( ~ (a(v0, v1) = v2) | ? [v3] : (u(v0, v3) = v2 & s(v1) = v3)) % 179.14/124.68 | (114) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (s(v0) = v1) | ~ (mem(v0, v1) = v2)) % 179.14/124.68 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (a(v3, v2) = v1) | ~ (a(v3, v2) = v0)) % 179.14/124.68 | (116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (m(v3, v2) = v1) | ~ (m(v3, v2) = v0)) % 179.14/124.68 | (117) ? [v0] : ? [v1] : ? [v2] : mem(v1, v0) = v2 % 179.14/124.68 | (118) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast10p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast9p(v2) = v3))) % 179.14/124.68 | (119) ! [v0] : ( ~ (atleast7p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast6p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.68 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | v1 = 0 | ~ (atleast12p(v0) = v1) | ~ (subq(v0, v2) = v3) | ? [v4] : (( ~ (v4 = 0) & atleast11p(v2) = v4) | ( ~ (v4 = 0) & subq(v2, v0) = v4))) % 179.14/124.68 | (121) ! [v0] : ( ~ (atleast6p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast5p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.68 | (122) ! [v0] : ( ~ (atleast3p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast2p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.68 | (123) ! [v0] : ~ (mem(v0, e) = 0) % 179.14/124.68 | (124) n(all_0_3_3) = all_0_2_2 % 179.14/124.68 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast14p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast13p(v2) = v3))) % 179.14/124.68 | (126) s(all_0_9_9) = all_0_6_6 % 179.14/124.68 | (127) ! [v0] : ! [v1] : ! [v2] : ( ~ (subq(v0, v1) = 0) | ~ (mem(v2, v0) = 0) | mem(v2, v1) = 0) % 179.14/124.68 | (128) ! [v0] : ( ~ (atleast15p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast14p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.68 | (129) ! [v0] : ( ~ (atleast13p(v0) = 0) | ? [v1] : ? [v2] : ( ~ (v2 = 0) & atleast12p(v1) = 0 & subq(v1, v0) = 0 & subq(v0, v1) = v2)) % 179.14/124.68 | (130) ? [v0] : ? [v1] : ? [v2] : subq(v1, v0) = v2 % 179.14/124.68 | (131) ! [v0] : ! [v1] : ! [v2] : (v1 = 0 | ~ (atleast6p(v0) = v1) | ~ (subq(v2, v0) = 0) | ? [v3] : ((v3 = 0 & subq(v0, v2) = 0) | ( ~ (v3 = 0) & atleast5p(v2) = v3))) % 179.14/124.68 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (u(v0, v2) = v3) | ~ (s(v1) = v2) | a(v0, v1) = v3) % 179.14/124.68 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subq(v0, v1) = 0) | ~ (mem(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & mem(v2, v0) = v4)) % 179.14/124.68 | (134) ? [v0] : ? [v1] : atleast3p(v0) = v1 % 179.14/124.68 | (135) n(e) = all_0_9_9 % 179.14/124.68 | (136) ! [v0] : ! [v1] : (v1 = v0 | ~ (subq(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & subq(v1, v0) = v2)) % 179.14/124.69 | (137) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast6p(v2) = v1) | ~ (atleast6p(v2) = v0)) % 179.14/124.69 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (atleast15p(v2) = v1) | ~ (atleast15p(v2) = v0)) % 179.14/124.69 | (139) ! [v0] : ! [v1] : ! [v2] : ( ~ (disj(v0, v1) = 0) | ~ (mem(v2, v0) = 0) | ? [v3] : ( ~ (v3 = 0) & mem(v2, v1) = v3)) % 179.14/124.69 | (140) ? [v0] : ? [v1] : ? [v2] : disj(v1, v0) = v2 % 179.14/124.69 | (141) n(all_0_9_9) = all_0_8_8 % 179.14/124.69 | (142) ? [v0] : ? [v1] : atleast13p(v0) = v1 % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (119) with all_0_0_0 and discharging atoms atleast7p(all_0_0_0) = 0, yields: % 179.14/124.69 | (143) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast6p(v0) = 0 & subq(v0, all_0_0_0) = 0 & subq(all_0_0_0, v0) = v1) % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (26) with all_0_2_2, all_0_3_3 and discharging atoms n(all_0_3_3) = all_0_2_2, yields: % 179.14/124.69 | (144) a(all_0_3_3, all_0_3_3) = all_0_2_2 % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (26) with all_0_3_3, all_0_6_6 and discharging atoms n(all_0_6_6) = all_0_3_3, yields: % 179.14/124.69 | (145) a(all_0_6_6, all_0_6_6) = all_0_3_3 % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (26) with all_0_8_8, all_0_9_9 and discharging atoms n(all_0_9_9) = all_0_8_8, yields: % 179.14/124.69 | (146) a(all_0_9_9, all_0_9_9) = all_0_8_8 % 179.14/124.69 | % 179.14/124.69 | Instantiating (143) with all_57_0_64, all_57_1_65 yields: % 179.14/124.69 | (147) ~ (all_57_0_64 = 0) & atleast6p(all_57_1_65) = 0 & subq(all_57_1_65, all_0_0_0) = 0 & subq(all_0_0_0, all_57_1_65) = all_57_0_64 % 179.14/124.69 | % 179.14/124.69 | Applying alpha-rule on (147) yields: % 179.14/124.69 | (148) ~ (all_57_0_64 = 0) % 179.14/124.69 | (149) atleast6p(all_57_1_65) = 0 % 179.14/124.69 | (150) subq(all_57_1_65, all_0_0_0) = 0 % 179.14/124.69 | (151) subq(all_0_0_0, all_57_1_65) = all_57_0_64 % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (121) with all_57_1_65 and discharging atoms atleast6p(all_57_1_65) = 0, yields: % 179.14/124.69 | (152) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast5p(v0) = 0 & subq(v0, all_57_1_65) = 0 & subq(all_57_1_65, v0) = v1) % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (113) with all_0_2_2, all_0_3_3, all_0_3_3 and discharging atoms a(all_0_3_3, all_0_3_3) = all_0_2_2, yields: % 179.14/124.69 | (153) ? [v0] : (u(all_0_3_3, v0) = all_0_2_2 & s(all_0_3_3) = v0) % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (113) with all_0_3_3, all_0_6_6, all_0_6_6 and discharging atoms a(all_0_6_6, all_0_6_6) = all_0_3_3, yields: % 179.14/124.69 | (154) ? [v0] : (u(all_0_6_6, v0) = all_0_3_3 & s(all_0_6_6) = v0) % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (113) with all_0_8_8, all_0_9_9, all_0_9_9 and discharging atoms a(all_0_9_9, all_0_9_9) = all_0_8_8, yields: % 179.14/124.69 | (155) ? [v0] : (u(all_0_9_9, v0) = all_0_8_8 & s(all_0_9_9) = v0) % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (52) with all_57_0_64, all_57_1_65, all_0_0_0 and discharging atoms subq(all_0_0_0, all_57_1_65) = all_57_0_64, yields: % 179.14/124.69 | (156) all_57_0_64 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_57_1_65) = v0 & mem(all_0_0_0, v0) = v1) % 179.14/124.69 | % 179.14/124.69 | Instantiating formula (103) with all_57_0_64, all_57_1_65, all_0_0_0 and discharging atoms subq(all_0_0_0, all_57_1_65) = all_57_0_64, yields: % 179.14/124.69 | (157) all_57_0_64 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_57_1_65) = v1 & mem(v0, all_0_0_0) = 0) % 179.14/124.69 | % 179.14/124.69 | Instantiating (155) with all_68_0_68 yields: % 179.14/124.69 | (158) u(all_0_9_9, all_68_0_68) = all_0_8_8 & s(all_0_9_9) = all_68_0_68 % 179.14/124.69 | % 179.14/124.69 | Applying alpha-rule on (158) yields: % 179.14/124.69 | (159) u(all_0_9_9, all_68_0_68) = all_0_8_8 % 179.14/124.69 | (160) s(all_0_9_9) = all_68_0_68 % 179.14/124.69 | % 179.14/124.69 | Instantiating (154) with all_70_0_69 yields: % 179.14/124.69 | (161) u(all_0_6_6, all_70_0_69) = all_0_3_3 & s(all_0_6_6) = all_70_0_69 % 179.14/124.69 | % 179.14/124.69 | Applying alpha-rule on (161) yields: % 179.14/124.69 | (162) u(all_0_6_6, all_70_0_69) = all_0_3_3 % 179.14/124.69 | (163) s(all_0_6_6) = all_70_0_69 % 179.14/124.69 | % 179.14/124.69 | Instantiating (153) with all_72_0_70 yields: % 179.14/124.69 | (164) u(all_0_3_3, all_72_0_70) = all_0_2_2 & s(all_0_3_3) = all_72_0_70 % 179.14/124.69 | % 179.14/124.69 | Applying alpha-rule on (164) yields: % 179.14/124.69 | (165) u(all_0_3_3, all_72_0_70) = all_0_2_2 % 179.14/124.69 | (166) s(all_0_3_3) = all_72_0_70 % 179.14/124.69 | % 179.14/124.69 | Instantiating (152) with all_74_0_71, all_74_1_72 yields: % 179.14/124.69 | (167) ~ (all_74_0_71 = 0) & atleast5p(all_74_1_72) = 0 & subq(all_74_1_72, all_57_1_65) = 0 & subq(all_57_1_65, all_74_1_72) = all_74_0_71 % 179.14/124.69 | % 179.14/124.69 | Applying alpha-rule on (167) yields: % 179.14/124.69 | (168) ~ (all_74_0_71 = 0) % 179.14/124.69 | (169) atleast5p(all_74_1_72) = 0 % 179.14/124.69 | (170) subq(all_74_1_72, all_57_1_65) = 0 % 179.14/124.69 | (171) subq(all_57_1_65, all_74_1_72) = all_74_0_71 % 179.14/124.69 | % 179.14/124.69 +-Applying beta-rule and splitting (156), into two cases. % 179.14/124.69 |-Branch one: % 179.14/124.69 | (172) all_57_0_64 = 0 % 179.14/124.69 | % 179.14/124.69 | Equations (172) can reduce 148 to: % 179.14/124.69 | (173) $false % 179.14/124.69 | % 179.14/124.69 |-The branch is then unsatisfiable % 179.14/124.69 |-Branch two: % 179.14/124.69 | (148) ~ (all_57_0_64 = 0) % 179.14/124.69 | (175) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_57_1_65) = v0 & mem(all_0_0_0, v0) = v1) % 179.14/124.70 | % 179.14/124.70 +-Applying beta-rule and splitting (157), into two cases. % 179.14/124.70 |-Branch one: % 179.14/124.70 | (172) all_57_0_64 = 0 % 179.14/124.70 | % 179.14/124.70 | Equations (172) can reduce 148 to: % 179.14/124.70 | (173) $false % 179.14/124.70 | % 179.14/124.70 |-The branch is then unsatisfiable % 179.14/124.70 |-Branch two: % 179.14/124.70 | (148) ~ (all_57_0_64 = 0) % 179.14/124.70 | (179) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_57_1_65) = v1 & mem(v0, all_0_0_0) = 0) % 179.14/124.70 | % 179.14/124.70 | Instantiating (179) with all_85_0_75, all_85_1_76 yields: % 179.14/124.70 | (180) ~ (all_85_0_75 = 0) & mem(all_85_1_76, all_57_1_65) = all_85_0_75 & mem(all_85_1_76, all_0_0_0) = 0 % 179.14/124.70 | % 179.14/124.70 | Applying alpha-rule on (180) yields: % 179.14/124.70 | (181) ~ (all_85_0_75 = 0) % 179.14/124.70 | (182) mem(all_85_1_76, all_57_1_65) = all_85_0_75 % 179.14/124.70 | (183) mem(all_85_1_76, all_0_0_0) = 0 % 179.14/124.70 | % 179.14/124.70 | Instantiating formula (79) with all_0_6_6, all_70_0_69, all_0_5_5 and discharging atoms s(all_0_6_6) = all_70_0_69, s(all_0_6_6) = all_0_5_5, yields: % 179.14/124.70 | (184) all_70_0_69 = all_0_5_5 % 179.14/124.70 | % 179.14/124.70 | Instantiating formula (79) with all_0_9_9, all_68_0_68, all_0_6_6 and discharging atoms s(all_0_9_9) = all_68_0_68, s(all_0_9_9) = all_0_6_6, yields: % 179.14/124.70 | (185) all_68_0_68 = all_0_6_6 % 179.14/124.70 | % 179.14/124.70 | From (184) and (162) follows: % 179.14/124.70 | (186) u(all_0_6_6, all_0_5_5) = all_0_3_3 % 179.14/124.70 | % 179.14/124.70 | From (184) and (163) follows: % 179.14/124.70 | (73) s(all_0_6_6) = all_0_5_5 % 179.14/124.70 | % 179.14/124.70 | From (185) and (160) follows: % 179.14/124.70 | (126) s(all_0_9_9) = all_0_6_6 % 179.14/124.70 | % 179.14/124.70 | Instantiating formula (36) with all_74_1_72 and discharging atoms atleast5p(all_74_1_72) = 0, yields: % 179.14/124.70 | (189) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast4p(v0) = 0 & subq(v0, all_74_1_72) = 0 & subq(all_74_1_72, v0) = v1) % 179.14/124.70 | % 179.14/124.70 | Instantiating formula (52) with all_74_0_71, all_74_1_72, all_57_1_65 and discharging atoms subq(all_57_1_65, all_74_1_72) = all_74_0_71, yields: % 179.14/124.70 | (190) all_74_0_71 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_74_1_72) = v0 & mem(all_57_1_65, v0) = v1) % 179.57/124.70 | % 179.57/124.70 | Instantiating formula (103) with all_74_0_71, all_74_1_72, all_57_1_65 and discharging atoms subq(all_57_1_65, all_74_1_72) = all_74_0_71, yields: % 179.57/124.70 | (191) all_74_0_71 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_74_1_72) = v1 & mem(v0, all_57_1_65) = 0) % 179.57/124.70 | % 179.57/124.70 | Instantiating formula (133) with all_85_0_75, all_85_1_76, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_85_1_76, all_57_1_65) = all_85_0_75, yields: % 179.57/124.70 | (192) all_85_0_75 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_85_1_76, all_74_1_72) = v0) % 179.57/124.70 | % 179.57/124.70 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_85_1_76 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_85_1_76, all_0_0_0) = 0, yields: % 179.57/124.70 | (193) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_1_1) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_7_7) = 0)) % 179.57/124.70 | % 179.57/124.70 | Instantiating (193) with all_96_0_77 yields: % 179.57/124.70 | (194) (all_96_0_77 = 0 & mem(all_85_1_76, all_0_1_1) = 0) | (all_96_0_77 = 0 & mem(all_85_1_76, all_0_7_7) = 0) % 179.57/124.70 | % 179.57/124.70 | Instantiating (189) with all_99_0_79, all_99_1_80 yields: % 179.57/124.70 | (195) ~ (all_99_0_79 = 0) & atleast4p(all_99_1_80) = 0 & subq(all_99_1_80, all_74_1_72) = 0 & subq(all_74_1_72, all_99_1_80) = all_99_0_79 % 179.57/124.70 | % 179.57/124.70 | Applying alpha-rule on (195) yields: % 179.57/124.70 | (196) ~ (all_99_0_79 = 0) % 179.57/124.70 | (197) atleast4p(all_99_1_80) = 0 % 179.57/124.70 | (198) subq(all_99_1_80, all_74_1_72) = 0 % 179.57/124.70 | (199) subq(all_74_1_72, all_99_1_80) = all_99_0_79 % 179.57/124.70 | % 179.57/124.70 +-Applying beta-rule and splitting (190), into two cases. % 179.57/124.70 |-Branch one: % 179.57/124.70 | (200) all_74_0_71 = 0 % 179.57/124.70 | % 179.57/124.70 | Equations (200) can reduce 168 to: % 179.57/124.70 | (173) $false % 179.57/124.70 | % 179.57/124.70 |-The branch is then unsatisfiable % 179.57/124.70 |-Branch two: % 179.57/124.70 | (168) ~ (all_74_0_71 = 0) % 179.57/124.70 | (203) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_74_1_72) = v0 & mem(all_57_1_65, v0) = v1) % 179.57/124.70 | % 179.57/124.70 +-Applying beta-rule and splitting (191), into two cases. % 179.57/124.70 |-Branch one: % 179.57/124.70 | (200) all_74_0_71 = 0 % 179.57/124.70 | % 179.57/124.70 | Equations (200) can reduce 168 to: % 179.57/124.70 | (173) $false % 179.57/124.70 | % 179.57/124.70 |-The branch is then unsatisfiable % 179.57/124.70 |-Branch two: % 179.57/124.70 | (168) ~ (all_74_0_71 = 0) % 179.57/124.70 | (207) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_74_1_72) = v1 & mem(v0, all_57_1_65) = 0) % 179.57/124.70 | % 179.57/124.70 | Instantiating (207) with all_110_0_83, all_110_1_84 yields: % 179.57/124.70 | (208) ~ (all_110_0_83 = 0) & mem(all_110_1_84, all_74_1_72) = all_110_0_83 & mem(all_110_1_84, all_57_1_65) = 0 % 179.57/124.70 | % 179.57/124.70 | Applying alpha-rule on (208) yields: % 179.57/124.70 | (209) ~ (all_110_0_83 = 0) % 179.57/124.70 | (210) mem(all_110_1_84, all_74_1_72) = all_110_0_83 % 179.57/124.70 | (211) mem(all_110_1_84, all_57_1_65) = 0 % 179.57/124.70 | % 179.57/124.70 +-Applying beta-rule and splitting (192), into two cases. % 179.57/124.70 |-Branch one: % 179.57/124.70 | (212) all_85_0_75 = 0 % 179.57/124.70 | % 179.57/124.70 | Equations (212) can reduce 181 to: % 179.57/124.70 | (173) $false % 179.57/124.70 | % 179.57/124.70 |-The branch is then unsatisfiable % 179.57/124.70 |-Branch two: % 179.57/124.70 | (181) ~ (all_85_0_75 = 0) % 179.57/124.70 | (215) ? [v0] : ( ~ (v0 = 0) & mem(all_85_1_76, all_74_1_72) = v0) % 179.57/124.70 | % 179.57/124.70 | Instantiating formula (46) with all_99_1_80 and discharging atoms atleast4p(all_99_1_80) = 0, yields: % 179.57/124.70 | (216) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast3p(v0) = 0 & subq(v0, all_99_1_80) = 0 & subq(all_99_1_80, v0) = v1) % 179.57/124.70 | % 179.57/124.70 | Instantiating formula (103) with all_99_0_79, all_99_1_80, all_74_1_72 and discharging atoms subq(all_74_1_72, all_99_1_80) = all_99_0_79, yields: % 179.57/124.70 | (217) all_99_0_79 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_99_1_80) = v1 & mem(v0, all_74_1_72) = 0) % 179.57/124.70 | % 179.57/124.70 | Instantiating formula (133) with all_110_0_83, all_110_1_84, all_74_1_72, all_99_1_80 and discharging atoms subq(all_99_1_80, all_74_1_72) = 0, mem(all_110_1_84, all_74_1_72) = all_110_0_83, yields: % 179.57/124.70 | (218) all_110_0_83 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_110_1_84, all_99_1_80) = v0) % 179.57/124.70 | % 179.57/124.71 | Instantiating formula (127) with all_110_1_84, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_110_1_84, all_57_1_65) = 0, yields: % 179.57/124.71 | (219) mem(all_110_1_84, all_0_0_0) = 0 % 179.57/124.71 | % 179.57/124.71 | Instantiating (216) with all_129_0_87, all_129_1_88 yields: % 179.57/124.71 | (220) ~ (all_129_0_87 = 0) & atleast3p(all_129_1_88) = 0 & subq(all_129_1_88, all_99_1_80) = 0 & subq(all_99_1_80, all_129_1_88) = all_129_0_87 % 179.57/124.71 | % 179.57/124.71 | Applying alpha-rule on (220) yields: % 179.57/124.71 | (221) ~ (all_129_0_87 = 0) % 179.57/124.71 | (222) atleast3p(all_129_1_88) = 0 % 179.57/124.71 | (223) subq(all_129_1_88, all_99_1_80) = 0 % 179.57/124.71 | (224) subq(all_99_1_80, all_129_1_88) = all_129_0_87 % 179.57/124.71 | % 179.57/124.71 +-Applying beta-rule and splitting (217), into two cases. % 179.57/124.71 |-Branch one: % 179.57/124.71 | (225) all_99_0_79 = 0 % 179.61/124.71 | % 179.61/124.71 | Equations (225) can reduce 196 to: % 179.61/124.71 | (173) $false % 179.61/124.71 | % 179.61/124.71 |-The branch is then unsatisfiable % 179.61/124.71 |-Branch two: % 179.61/124.71 | (196) ~ (all_99_0_79 = 0) % 179.61/124.71 | (228) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_99_1_80) = v1 & mem(v0, all_74_1_72) = 0) % 179.61/124.71 | % 179.61/124.71 | Instantiating (228) with all_135_0_89, all_135_1_90 yields: % 179.61/124.71 | (229) ~ (all_135_0_89 = 0) & mem(all_135_1_90, all_99_1_80) = all_135_0_89 & mem(all_135_1_90, all_74_1_72) = 0 % 179.61/124.71 | % 179.61/124.71 | Applying alpha-rule on (229) yields: % 179.61/124.71 | (230) ~ (all_135_0_89 = 0) % 179.61/124.71 | (231) mem(all_135_1_90, all_99_1_80) = all_135_0_89 % 179.61/124.71 | (232) mem(all_135_1_90, all_74_1_72) = 0 % 179.61/124.71 | % 179.61/124.71 +-Applying beta-rule and splitting (218), into two cases. % 179.61/124.71 |-Branch one: % 179.61/124.71 | (233) all_110_0_83 = 0 % 179.61/124.71 | % 179.61/124.71 | Equations (233) can reduce 209 to: % 179.61/124.71 | (173) $false % 179.61/124.71 | % 179.61/124.71 |-The branch is then unsatisfiable % 179.61/124.71 |-Branch two: % 179.61/124.71 | (209) ~ (all_110_0_83 = 0) % 179.61/124.71 | (236) ? [v0] : ( ~ (v0 = 0) & mem(all_110_1_84, all_99_1_80) = v0) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (122) with all_129_1_88 and discharging atoms atleast3p(all_129_1_88) = 0, yields: % 179.61/124.71 | (237) ? [v0] : ? [v1] : ( ~ (v1 = 0) & atleast2p(v0) = 0 & subq(v0, all_129_1_88) = 0 & subq(all_129_1_88, v0) = v1) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (52) with all_129_0_87, all_129_1_88, all_99_1_80 and discharging atoms subq(all_99_1_80, all_129_1_88) = all_129_0_87, yields: % 179.61/124.71 | (238) all_129_0_87 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_129_1_88) = v0 & mem(all_99_1_80, v0) = v1) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (103) with all_129_0_87, all_129_1_88, all_99_1_80 and discharging atoms subq(all_99_1_80, all_129_1_88) = all_129_0_87, yields: % 179.61/124.71 | (239) all_129_0_87 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_129_1_88) = v1 & mem(v0, all_99_1_80) = 0) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (133) with all_135_0_89, all_135_1_90, all_99_1_80, all_129_1_88 and discharging atoms subq(all_129_1_88, all_99_1_80) = 0, mem(all_135_1_90, all_99_1_80) = all_135_0_89, yields: % 179.61/124.71 | (240) all_135_0_89 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_135_1_90, all_129_1_88) = v0) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (127) with all_135_1_90, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_135_1_90, all_74_1_72) = 0, yields: % 179.61/124.71 | (241) mem(all_135_1_90, all_57_1_65) = 0 % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_110_1_84 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_110_1_84, all_0_0_0) = 0, yields: % 179.61/124.71 | (242) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_1_1) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_7_7) = 0)) % 179.61/124.71 | % 179.61/124.71 | Instantiating (242) with all_162_0_95 yields: % 179.61/124.71 | (243) (all_162_0_95 = 0 & mem(all_110_1_84, all_0_1_1) = 0) | (all_162_0_95 = 0 & mem(all_110_1_84, all_0_7_7) = 0) % 179.61/124.71 | % 179.61/124.71 | Instantiating (237) with all_165_0_97, all_165_1_98 yields: % 179.61/124.71 | (244) ~ (all_165_0_97 = 0) & atleast2p(all_165_1_98) = 0 & subq(all_165_1_98, all_129_1_88) = 0 & subq(all_129_1_88, all_165_1_98) = all_165_0_97 % 179.61/124.71 | % 179.61/124.71 | Applying alpha-rule on (244) yields: % 179.61/124.71 | (245) ~ (all_165_0_97 = 0) % 179.61/124.71 | (246) atleast2p(all_165_1_98) = 0 % 179.61/124.71 | (247) subq(all_165_1_98, all_129_1_88) = 0 % 179.61/124.71 | (248) subq(all_129_1_88, all_165_1_98) = all_165_0_97 % 179.61/124.71 | % 179.61/124.71 +-Applying beta-rule and splitting (238), into two cases. % 179.61/124.71 |-Branch one: % 179.61/124.71 | (249) all_129_0_87 = 0 % 179.61/124.71 | % 179.61/124.71 | Equations (249) can reduce 221 to: % 179.61/124.71 | (173) $false % 179.61/124.71 | % 179.61/124.71 |-The branch is then unsatisfiable % 179.61/124.71 |-Branch two: % 179.61/124.71 | (221) ~ (all_129_0_87 = 0) % 179.61/124.71 | (252) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_129_1_88) = v0 & mem(all_99_1_80, v0) = v1) % 179.61/124.71 | % 179.61/124.71 +-Applying beta-rule and splitting (239), into two cases. % 179.61/124.71 |-Branch one: % 179.61/124.71 | (249) all_129_0_87 = 0 % 179.61/124.71 | % 179.61/124.71 | Equations (249) can reduce 221 to: % 179.61/124.71 | (173) $false % 179.61/124.71 | % 179.61/124.71 |-The branch is then unsatisfiable % 179.61/124.71 |-Branch two: % 179.61/124.71 | (221) ~ (all_129_0_87 = 0) % 179.61/124.71 | (256) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_129_1_88) = v1 & mem(v0, all_99_1_80) = 0) % 179.61/124.71 | % 179.61/124.71 | Instantiating (256) with all_181_0_102, all_181_1_103 yields: % 179.61/124.71 | (257) ~ (all_181_0_102 = 0) & mem(all_181_1_103, all_129_1_88) = all_181_0_102 & mem(all_181_1_103, all_99_1_80) = 0 % 179.61/124.71 | % 179.61/124.71 | Applying alpha-rule on (257) yields: % 179.61/124.71 | (258) ~ (all_181_0_102 = 0) % 179.61/124.71 | (259) mem(all_181_1_103, all_129_1_88) = all_181_0_102 % 179.61/124.71 | (260) mem(all_181_1_103, all_99_1_80) = 0 % 179.61/124.71 | % 179.61/124.71 +-Applying beta-rule and splitting (240), into two cases. % 179.61/124.71 |-Branch one: % 179.61/124.71 | (261) all_135_0_89 = 0 % 179.61/124.71 | % 179.61/124.71 | Equations (261) can reduce 230 to: % 179.61/124.71 | (173) $false % 179.61/124.71 | % 179.61/124.71 |-The branch is then unsatisfiable % 179.61/124.71 |-Branch two: % 179.61/124.71 | (230) ~ (all_135_0_89 = 0) % 179.61/124.71 | (264) ? [v0] : ( ~ (v0 = 0) & mem(all_135_1_90, all_129_1_88) = v0) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (91) with all_165_1_98 and discharging atoms atleast2p(all_165_1_98) = 0, yields: % 179.61/124.71 | (265) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & p(v0) = v1 & subq(all_165_1_98, v1) = v2 & mem(v0, all_165_1_98) = 0) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (52) with all_165_0_97, all_165_1_98, all_129_1_88 and discharging atoms subq(all_129_1_88, all_165_1_98) = all_165_0_97, yields: % 179.61/124.71 | (266) all_165_0_97 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_165_1_98) = v0 & mem(all_129_1_88, v0) = v1) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (103) with all_165_0_97, all_165_1_98, all_129_1_88 and discharging atoms subq(all_129_1_88, all_165_1_98) = all_165_0_97, yields: % 179.61/124.71 | (267) all_165_0_97 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_165_1_98) = v1 & mem(v0, all_129_1_88) = 0) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (133) with all_181_0_102, all_181_1_103, all_129_1_88, all_165_1_98 and discharging atoms subq(all_165_1_98, all_129_1_88) = 0, mem(all_181_1_103, all_129_1_88) = all_181_0_102, yields: % 179.61/124.71 | (268) all_181_0_102 = 0 | ? [v0] : ( ~ (v0 = 0) & mem(all_181_1_103, all_165_1_98) = v0) % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (127) with all_181_1_103, all_74_1_72, all_99_1_80 and discharging atoms subq(all_99_1_80, all_74_1_72) = 0, mem(all_181_1_103, all_99_1_80) = 0, yields: % 179.61/124.71 | (269) mem(all_181_1_103, all_74_1_72) = 0 % 179.61/124.71 | % 179.61/124.71 | Instantiating formula (127) with all_135_1_90, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_135_1_90, all_57_1_65) = 0, yields: % 179.61/124.71 | (270) mem(all_135_1_90, all_0_0_0) = 0 % 179.61/124.71 | % 179.61/124.71 | Instantiating (265) with all_205_0_107, all_205_1_108, all_205_2_109 yields: % 179.61/124.71 | (271) ~ (all_205_0_107 = 0) & p(all_205_2_109) = all_205_1_108 & subq(all_165_1_98, all_205_1_108) = all_205_0_107 & mem(all_205_2_109, all_165_1_98) = 0 % 179.61/124.71 | % 179.61/124.71 | Applying alpha-rule on (271) yields: % 179.61/124.71 | (272) ~ (all_205_0_107 = 0) % 179.61/124.71 | (273) p(all_205_2_109) = all_205_1_108 % 179.61/124.71 | (274) subq(all_165_1_98, all_205_1_108) = all_205_0_107 % 179.61/124.71 | (275) mem(all_205_2_109, all_165_1_98) = 0 % 179.61/124.71 | % 179.61/124.71 +-Applying beta-rule and splitting (266), into two cases. % 179.61/124.71 |-Branch one: % 179.61/124.71 | (276) all_165_0_97 = 0 % 179.61/124.71 | % 179.61/124.71 | Equations (276) can reduce 245 to: % 179.61/124.71 | (173) $false % 179.61/124.71 | % 179.61/124.71 |-The branch is then unsatisfiable % 179.61/124.71 |-Branch two: % 179.61/124.71 | (245) ~ (all_165_0_97 = 0) % 179.61/124.71 | (279) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(all_165_1_98) = v0 & mem(all_129_1_88, v0) = v1) % 179.61/124.71 | % 179.61/124.71 +-Applying beta-rule and splitting (267), into two cases. % 179.61/124.71 |-Branch one: % 179.61/124.71 | (276) all_165_0_97 = 0 % 179.61/124.71 | % 179.61/124.71 | Equations (276) can reduce 245 to: % 179.61/124.71 | (173) $false % 179.61/124.71 | % 179.61/124.71 |-The branch is then unsatisfiable % 179.61/124.71 |-Branch two: % 179.61/124.71 | (245) ~ (all_165_0_97 = 0) % 179.61/124.71 | (283) ? [v0] : ? [v1] : ( ~ (v1 = 0) & mem(v0, all_165_1_98) = v1 & mem(v0, all_129_1_88) = 0) % 179.61/124.71 | % 179.61/124.71 | Instantiating (283) with all_226_0_114, all_226_1_115 yields: % 179.61/124.71 | (284) ~ (all_226_0_114 = 0) & mem(all_226_1_115, all_165_1_98) = all_226_0_114 & mem(all_226_1_115, all_129_1_88) = 0 % 179.61/124.71 | % 179.61/124.71 | Applying alpha-rule on (284) yields: % 179.61/124.71 | (285) ~ (all_226_0_114 = 0) % 179.61/124.71 | (286) mem(all_226_1_115, all_165_1_98) = all_226_0_114 % 179.61/124.71 | (287) mem(all_226_1_115, all_129_1_88) = 0 % 179.61/124.71 | % 179.61/124.71 +-Applying beta-rule and splitting (268), into two cases. % 179.61/124.71 |-Branch one: % 179.61/124.71 | (288) all_181_0_102 = 0 % 179.61/124.71 | % 179.61/124.71 | Equations (288) can reduce 258 to: % 179.61/124.71 | (173) $false % 179.61/124.71 | % 179.61/124.71 |-The branch is then unsatisfiable % 179.61/124.71 |-Branch two: % 179.61/124.71 | (258) ~ (all_181_0_102 = 0) % 179.61/124.71 | (291) ? [v0] : ( ~ (v0 = 0) & mem(all_181_1_103, all_165_1_98) = v0) % 179.61/124.71 | % 179.61/124.71 +-Applying beta-rule and splitting (194), into two cases. % 179.61/124.71 |-Branch one: % 179.61/124.71 | (292) all_96_0_77 = 0 & mem(all_85_1_76, all_0_1_1) = 0 % 179.61/124.71 | % 179.61/124.72 | Applying alpha-rule on (292) yields: % 179.61/124.72 | (293) all_96_0_77 = 0 % 179.61/124.72 | (294) mem(all_85_1_76, all_0_1_1) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_226_1_115, all_99_1_80, all_129_1_88 and discharging atoms subq(all_129_1_88, all_99_1_80) = 0, mem(all_226_1_115, all_129_1_88) = 0, yields: % 179.61/124.72 | (295) mem(all_226_1_115, all_99_1_80) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_205_2_109, all_129_1_88, all_165_1_98 and discharging atoms subq(all_165_1_98, all_129_1_88) = 0, mem(all_205_2_109, all_165_1_98) = 0, yields: % 179.61/124.72 | (296) mem(all_205_2_109, all_129_1_88) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_181_1_103, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_181_1_103, all_74_1_72) = 0, yields: % 179.61/124.72 | (297) mem(all_181_1_103, all_57_1_65) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_135_1_90 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_135_1_90, all_0_0_0) = 0, yields: % 179.61/124.72 | (298) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_1_1) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_7_7) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_85_1_76 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_85_1_76, all_0_1_1) = 0, yields: % 179.61/124.72 | (299) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_2_2) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_4_4) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating (299) with all_254_0_118 yields: % 179.61/124.72 | (300) (all_254_0_118 = 0 & mem(all_85_1_76, all_0_2_2) = 0) | (all_254_0_118 = 0 & mem(all_85_1_76, all_0_4_4) = 0) % 179.61/124.72 | % 179.61/124.72 | Instantiating (298) with all_255_0_119 yields: % 179.61/124.72 | (301) (all_255_0_119 = 0 & mem(all_135_1_90, all_0_1_1) = 0) | (all_255_0_119 = 0 & mem(all_135_1_90, all_0_7_7) = 0) % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_226_1_115, all_74_1_72, all_99_1_80 and discharging atoms subq(all_99_1_80, all_74_1_72) = 0, mem(all_226_1_115, all_99_1_80) = 0, yields: % 179.61/124.72 | (302) mem(all_226_1_115, all_74_1_72) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_205_2_109, all_99_1_80, all_129_1_88 and discharging atoms subq(all_129_1_88, all_99_1_80) = 0, mem(all_205_2_109, all_129_1_88) = 0, yields: % 179.61/124.72 | (303) mem(all_205_2_109, all_99_1_80) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_181_1_103, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_181_1_103, all_57_1_65) = 0, yields: % 179.61/124.72 | (304) mem(all_181_1_103, all_0_0_0) = 0 % 179.61/124.72 | % 179.61/124.72 +-Applying beta-rule and splitting (243), into two cases. % 179.61/124.72 |-Branch one: % 179.61/124.72 | (305) all_162_0_95 = 0 & mem(all_110_1_84, all_0_1_1) = 0 % 179.61/124.72 | % 179.61/124.72 | Applying alpha-rule on (305) yields: % 179.61/124.72 | (306) all_162_0_95 = 0 % 179.61/124.72 | (307) mem(all_110_1_84, all_0_1_1) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_226_1_115, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_226_1_115, all_74_1_72) = 0, yields: % 179.61/124.72 | (308) mem(all_226_1_115, all_57_1_65) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_205_2_109, all_74_1_72, all_99_1_80 and discharging atoms subq(all_99_1_80, all_74_1_72) = 0, mem(all_205_2_109, all_99_1_80) = 0, yields: % 179.61/124.72 | (309) mem(all_205_2_109, all_74_1_72) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_181_1_103 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_181_1_103, all_0_0_0) = 0, yields: % 179.61/124.72 | (310) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_1_1) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_7_7) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_110_1_84 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_110_1_84, all_0_1_1) = 0, yields: % 179.61/124.72 | (311) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_2_2) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_4_4) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating (311) with all_291_0_125 yields: % 179.61/124.72 | (312) (all_291_0_125 = 0 & mem(all_110_1_84, all_0_2_2) = 0) | (all_291_0_125 = 0 & mem(all_110_1_84, all_0_4_4) = 0) % 179.61/124.72 | % 179.61/124.72 | Instantiating (310) with all_292_0_126 yields: % 179.61/124.72 | (313) (all_292_0_126 = 0 & mem(all_181_1_103, all_0_1_1) = 0) | (all_292_0_126 = 0 & mem(all_181_1_103, all_0_7_7) = 0) % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_226_1_115, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_226_1_115, all_57_1_65) = 0, yields: % 179.61/124.72 | (314) mem(all_226_1_115, all_0_0_0) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_205_2_109, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_205_2_109, all_74_1_72) = 0, yields: % 179.61/124.72 | (315) mem(all_205_2_109, all_57_1_65) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_226_1_115 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_226_1_115, all_0_0_0) = 0, yields: % 179.61/124.72 | (316) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_1_1) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_7_7) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (127) with all_205_2_109, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_205_2_109, all_57_1_65) = 0, yields: % 179.61/124.72 | (317) mem(all_205_2_109, all_0_0_0) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating (316) with all_311_0_129 yields: % 179.61/124.72 | (318) (all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0) | (all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0) % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_205_2_109 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_205_2_109, all_0_0_0) = 0, yields: % 179.61/124.72 | (319) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_1_1) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_7_7) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating (319) with all_318_0_130 yields: % 179.61/124.72 | (320) (all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0) | (all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0) % 179.61/124.72 | % 179.61/124.72 +-Applying beta-rule and splitting (300), into two cases. % 179.61/124.72 |-Branch one: % 179.61/124.72 | (321) all_254_0_118 = 0 & mem(all_85_1_76, all_0_2_2) = 0 % 179.61/124.72 | % 179.61/124.72 | Applying alpha-rule on (321) yields: % 179.61/124.72 | (322) all_254_0_118 = 0 % 179.61/124.72 | (323) mem(all_85_1_76, all_0_2_2) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_85_1_76, all_0_2_2) = 0, yields: % 179.61/124.72 | (324) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_72_0_70) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_3_3) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating (324) with all_332_0_132 yields: % 179.61/124.72 | (325) (all_332_0_132 = 0 & mem(all_85_1_76, all_72_0_70) = 0) | (all_332_0_132 = 0 & mem(all_85_1_76, all_0_3_3) = 0) % 179.61/124.72 | % 179.61/124.72 +-Applying beta-rule and splitting (301), into two cases. % 179.61/124.72 |-Branch one: % 179.61/124.72 | (326) all_255_0_119 = 0 & mem(all_135_1_90, all_0_1_1) = 0 % 179.61/124.72 | % 179.61/124.72 | Applying alpha-rule on (326) yields: % 179.61/124.72 | (327) all_255_0_119 = 0 % 179.61/124.72 | (328) mem(all_135_1_90, all_0_1_1) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_135_1_90 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_135_1_90, all_0_1_1) = 0, yields: % 179.61/124.72 | (329) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_4_4) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating (329) with all_340_0_133 yields: % 179.61/124.72 | (330) (all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0) % 179.61/124.72 | % 179.61/124.72 +-Applying beta-rule and splitting (312), into two cases. % 179.61/124.72 |-Branch one: % 179.61/124.72 | (331) all_291_0_125 = 0 & mem(all_110_1_84, all_0_2_2) = 0 % 179.61/124.72 | % 179.61/124.72 | Applying alpha-rule on (331) yields: % 179.61/124.72 | (332) all_291_0_125 = 0 % 179.61/124.72 | (333) mem(all_110_1_84, all_0_2_2) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_110_1_84, all_0_2_2) = 0, yields: % 179.61/124.72 | (334) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_3_3) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating (334) with all_348_0_134 yields: % 179.61/124.72 | (335) (all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0) % 179.61/124.72 | % 179.61/124.72 +-Applying beta-rule and splitting (313), into two cases. % 179.61/124.72 |-Branch one: % 179.61/124.72 | (336) all_292_0_126 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 179.61/124.72 | % 179.61/124.72 | Applying alpha-rule on (336) yields: % 179.61/124.72 | (337) all_292_0_126 = 0 % 179.61/124.72 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 179.61/124.72 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating (339) with all_356_0_135 yields: % 179.61/124.72 | (340) (all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 179.61/124.72 | % 179.61/124.72 +-Applying beta-rule and splitting (318), into two cases. % 179.61/124.72 |-Branch one: % 179.61/124.72 | (341) all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 179.61/124.72 | % 179.61/124.72 | Applying alpha-rule on (341) yields: % 179.61/124.72 | (342) all_311_0_129 = 0 % 179.61/124.72 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 179.61/124.72 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 179.61/124.72 | % 179.61/124.72 | Instantiating (344) with all_364_0_136 yields: % 179.61/124.72 | (345) (all_364_0_136 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_364_0_136 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 179.61/124.72 | % 179.61/124.72 +-Applying beta-rule and splitting (325), into two cases. % 179.61/124.72 |-Branch one: % 179.61/124.72 | (346) all_332_0_132 = 0 & mem(all_85_1_76, all_72_0_70) = 0 % 179.61/124.72 | % 179.61/124.72 | Applying alpha-rule on (346) yields: % 179.61/124.72 | (347) all_332_0_132 = 0 % 179.61/124.72 | (348) mem(all_85_1_76, all_72_0_70) = 0 % 179.61/124.72 | % 179.61/124.72 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_85_1_76, all_72_0_70) = 0, yields: % 179.61/124.72 | (349) all_85_1_76 = all_0_3_3 % 179.61/124.72 | % 179.61/124.72 | From (349) and (182) follows: % 179.61/124.72 | (350) mem(all_0_3_3, all_57_1_65) = all_85_0_75 % 179.61/124.72 | % 179.61/124.72 +-Applying beta-rule and splitting (330), into two cases. % 179.61/124.72 |-Branch one: % 179.61/124.72 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 179.61/124.72 | % 179.61/124.73 | Applying alpha-rule on (351) yields: % 179.61/124.73 | (352) all_340_0_133 = 0 % 179.61/124.73 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 179.61/124.73 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 179.61/124.73 | % 179.61/124.73 | Instantiating (354) with all_399_0_139 yields: % 179.61/124.73 | (355) (all_399_0_139 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_399_0_139 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 179.61/124.73 | % 179.61/124.73 +-Applying beta-rule and splitting (335), into two cases. % 179.61/124.73 |-Branch one: % 179.61/124.73 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (356) yields: % 179.61/124.73 | (357) all_348_0_134 = 0 % 179.61/124.73 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 179.61/124.73 | (359) all_110_1_84 = all_0_3_3 % 179.61/124.73 | % 179.61/124.73 | From (359) and (211) follows: % 179.61/124.73 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.73 | (212) all_85_0_75 = 0 % 179.61/124.73 | % 179.61/124.73 | Equations (212) can reduce 181 to: % 179.61/124.73 | (173) $false % 179.61/124.73 | % 179.61/124.73 |-The branch is then unsatisfiable % 179.61/124.73 |-Branch two: % 179.61/124.73 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (363) yields: % 179.61/124.73 | (357) all_348_0_134 = 0 % 179.61/124.73 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 179.61/124.73 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 179.61/124.73 | % 179.61/124.73 | Instantiating (366) with all_407_0_140 yields: % 179.61/124.73 | (367) (all_407_0_140 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_407_0_140 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 179.61/124.73 | % 179.61/124.73 +-Applying beta-rule and splitting (340), into two cases. % 179.61/124.73 |-Branch one: % 179.61/124.73 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (368) yields: % 179.61/124.73 | (369) all_356_0_135 = 0 % 179.61/124.73 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 179.61/124.73 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 179.61/124.73 | % 179.61/124.73 | Instantiating (371) with all_415_0_141 yields: % 179.61/124.73 | (372) (all_415_0_141 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_415_0_141 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 179.61/124.73 | % 179.61/124.73 +-Applying beta-rule and splitting (355), into two cases. % 179.61/124.73 |-Branch one: % 179.61/124.73 | (373) all_399_0_139 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (373) yields: % 179.61/124.73 | (374) all_399_0_139 = 0 % 179.61/124.73 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 179.61/124.73 | (376) all_135_1_90 = all_0_3_3 % 179.61/124.73 | % 179.61/124.73 | From (376) and (241) follows: % 179.61/124.73 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.73 | (212) all_85_0_75 = 0 % 179.61/124.73 | % 179.61/124.73 | Equations (212) can reduce 181 to: % 179.61/124.73 | (173) $false % 179.61/124.73 | % 179.61/124.73 |-The branch is then unsatisfiable % 179.61/124.73 |-Branch two: % 179.61/124.73 | (380) all_399_0_139 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (380) yields: % 179.61/124.73 | (374) all_399_0_139 = 0 % 179.61/124.73 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 179.61/124.73 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 179.61/124.73 | % 179.61/124.73 | Instantiating (383) with all_447_0_145 yields: % 179.61/124.73 | (384) (all_447_0_145 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_447_0_145 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 179.61/124.73 | % 179.61/124.73 +-Applying beta-rule and splitting (367), into two cases. % 179.61/124.73 |-Branch one: % 179.61/124.73 | (385) all_407_0_140 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (385) yields: % 179.61/124.73 | (386) all_407_0_140 = 0 % 179.61/124.73 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 179.61/124.73 | (388) all_110_1_84 = all_0_6_6 % 179.61/124.73 | % 179.61/124.73 | From (388) and (210) follows: % 179.61/124.73 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 179.61/124.73 | % 179.61/124.73 +-Applying beta-rule and splitting (372), into two cases. % 179.61/124.73 |-Branch one: % 179.61/124.73 | (390) all_415_0_141 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (390) yields: % 179.61/124.73 | (391) all_415_0_141 = 0 % 179.61/124.73 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 179.61/124.73 | (393) all_181_1_103 = all_0_3_3 % 179.61/124.73 | % 179.61/124.73 | From (393) and (297) follows: % 179.61/124.73 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.73 | (212) all_85_0_75 = 0 % 179.61/124.73 | % 179.61/124.73 | Equations (212) can reduce 181 to: % 179.61/124.73 | (173) $false % 179.61/124.73 | % 179.61/124.73 |-The branch is then unsatisfiable % 179.61/124.73 |-Branch two: % 179.61/124.73 | (397) all_415_0_141 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (397) yields: % 179.61/124.73 | (391) all_415_0_141 = 0 % 179.61/124.73 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 179.61/124.73 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 179.61/124.73 | % 179.61/124.73 | Instantiating (400) with all_466_0_146 yields: % 179.61/124.73 | (401) (all_466_0_146 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_466_0_146 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 179.61/124.73 | % 179.61/124.73 +-Applying beta-rule and splitting (384), into two cases. % 179.61/124.73 |-Branch one: % 179.61/124.73 | (402) all_447_0_145 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (402) yields: % 179.61/124.73 | (403) all_447_0_145 = 0 % 179.61/124.73 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 179.61/124.73 | (405) all_135_1_90 = all_0_6_6 % 179.61/124.73 | % 179.61/124.73 | From (405) and (232) follows: % 179.61/124.73 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 179.61/124.73 | (233) all_110_0_83 = 0 % 179.61/124.73 | % 179.61/124.73 | Equations (233) can reduce 209 to: % 179.61/124.73 | (173) $false % 179.61/124.73 | % 179.61/124.73 |-The branch is then unsatisfiable % 179.61/124.73 |-Branch two: % 179.61/124.73 | (409) all_447_0_145 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (409) yields: % 179.61/124.73 | (403) all_447_0_145 = 0 % 179.61/124.73 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 179.61/124.73 | (412) all_135_1_90 = all_0_9_9 % 179.61/124.73 | % 179.61/124.73 | From (412) and (231) follows: % 179.61/124.73 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 179.61/124.73 | % 179.61/124.73 +-Applying beta-rule and splitting (401), into two cases. % 179.61/124.73 |-Branch one: % 179.61/124.73 | (414) all_466_0_146 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (414) yields: % 179.61/124.73 | (415) all_466_0_146 = 0 % 179.61/124.73 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 179.61/124.73 | (417) all_181_1_103 = all_0_6_6 % 179.61/124.73 | % 179.61/124.73 | From (417) and (269) follows: % 179.61/124.73 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 179.61/124.73 | (233) all_110_0_83 = 0 % 179.61/124.73 | % 179.61/124.73 | Equations (233) can reduce 209 to: % 179.61/124.73 | (173) $false % 179.61/124.73 | % 179.61/124.73 |-The branch is then unsatisfiable % 179.61/124.73 |-Branch two: % 179.61/124.73 | (421) all_466_0_146 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.73 | % 179.61/124.73 | Applying alpha-rule on (421) yields: % 179.61/124.73 | (415) all_466_0_146 = 0 % 179.61/124.73 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 179.61/124.73 | (424) all_181_1_103 = all_0_9_9 % 179.61/124.73 | % 179.61/124.73 | From (424) and (260) follows: % 179.61/124.73 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 179.61/124.73 | % 179.61/124.73 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 179.61/124.73 | (261) all_135_0_89 = 0 % 179.61/124.73 | % 179.61/124.73 | Equations (261) can reduce 230 to: % 179.61/124.73 | (173) $false % 179.61/124.73 | % 179.61/124.73 |-The branch is then unsatisfiable % 179.61/124.73 |-Branch two: % 179.61/124.73 | (428) all_407_0_140 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 179.61/124.73 | % 179.61/124.74 | Applying alpha-rule on (428) yields: % 179.61/124.74 | (386) all_407_0_140 = 0 % 179.61/124.74 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 179.61/124.74 | (431) all_110_1_84 = all_0_9_9 % 179.61/124.74 | % 179.61/124.74 | From (431) and (210) follows: % 179.61/124.74 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 179.61/124.74 | % 179.61/124.74 +-Applying beta-rule and splitting (372), into two cases. % 179.61/124.74 |-Branch one: % 179.61/124.74 | (390) all_415_0_141 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (390) yields: % 179.61/124.74 | (391) all_415_0_141 = 0 % 179.61/124.74 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 179.61/124.74 | (393) all_181_1_103 = all_0_3_3 % 179.61/124.74 | % 179.61/124.74 | From (393) and (297) follows: % 179.61/124.74 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.74 | (212) all_85_0_75 = 0 % 179.61/124.74 | % 179.61/124.74 | Equations (212) can reduce 181 to: % 179.61/124.74 | (173) $false % 179.61/124.74 | % 179.61/124.74 |-The branch is then unsatisfiable % 179.61/124.74 |-Branch two: % 179.61/124.74 | (397) all_415_0_141 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (397) yields: % 179.61/124.74 | (391) all_415_0_141 = 0 % 179.61/124.74 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 179.61/124.74 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 179.61/124.74 | % 179.61/124.74 | Instantiating (400) with all_466_0_150 yields: % 179.61/124.74 | (444) (all_466_0_150 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_466_0_150 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 179.61/124.74 | % 179.61/124.74 +-Applying beta-rule and splitting (384), into two cases. % 179.61/124.74 |-Branch one: % 179.61/124.74 | (402) all_447_0_145 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (402) yields: % 179.61/124.74 | (403) all_447_0_145 = 0 % 179.61/124.74 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 179.61/124.74 | (405) all_135_1_90 = all_0_6_6 % 179.61/124.74 | % 179.61/124.74 | From (405) and (231) follows: % 179.61/124.74 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 179.61/124.74 | % 179.61/124.74 +-Applying beta-rule and splitting (444), into two cases. % 179.61/124.74 |-Branch one: % 179.61/124.74 | (450) all_466_0_150 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (450) yields: % 179.61/124.74 | (451) all_466_0_150 = 0 % 179.61/124.74 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 179.61/124.74 | (417) all_181_1_103 = all_0_6_6 % 179.61/124.74 | % 179.61/124.74 | From (417) and (260) follows: % 179.61/124.74 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 179.61/124.74 | (261) all_135_0_89 = 0 % 179.61/124.74 | % 179.61/124.74 | Equations (261) can reduce 230 to: % 179.61/124.74 | (173) $false % 179.61/124.74 | % 179.61/124.74 |-The branch is then unsatisfiable % 179.61/124.74 |-Branch two: % 179.61/124.74 | (457) all_466_0_150 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (457) yields: % 179.61/124.74 | (451) all_466_0_150 = 0 % 179.61/124.74 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 179.61/124.74 | (424) all_181_1_103 = all_0_9_9 % 179.61/124.74 | % 179.61/124.74 | From (424) and (269) follows: % 179.61/124.74 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 179.61/124.74 | (233) all_110_0_83 = 0 % 179.61/124.74 | % 179.61/124.74 | Equations (233) can reduce 209 to: % 179.61/124.74 | (173) $false % 179.61/124.74 | % 179.61/124.74 |-The branch is then unsatisfiable % 179.61/124.74 |-Branch two: % 179.61/124.74 | (409) all_447_0_145 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (409) yields: % 179.61/124.74 | (403) all_447_0_145 = 0 % 179.61/124.74 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 179.61/124.74 | (412) all_135_1_90 = all_0_9_9 % 179.61/124.74 | % 179.61/124.74 | From (412) and (232) follows: % 179.61/124.74 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 179.61/124.74 | (233) all_110_0_83 = 0 % 179.61/124.74 | % 179.61/124.74 | Equations (233) can reduce 209 to: % 179.61/124.74 | (173) $false % 179.61/124.74 | % 179.61/124.74 |-The branch is then unsatisfiable % 179.61/124.74 |-Branch two: % 179.61/124.74 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (471) yields: % 179.61/124.74 | (369) all_356_0_135 = 0 % 179.61/124.74 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 179.61/124.74 | (474) all_181_1_103 = all_0_5_5 % 179.61/124.74 | % 179.61/124.74 | From (474) and (259) follows: % 179.61/124.74 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 179.61/124.74 | % 179.61/124.74 +-Applying beta-rule and splitting (345), into two cases. % 179.61/124.74 |-Branch one: % 179.61/124.74 | (476) all_364_0_136 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (476) yields: % 179.61/124.74 | (477) all_364_0_136 = 0 % 179.61/124.74 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 179.61/124.74 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 179.61/124.74 | % 179.61/124.74 | Instantiating (479) with all_426_0_154 yields: % 179.61/124.74 | (480) (all_426_0_154 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_426_0_154 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 179.61/124.74 | % 179.61/124.74 +-Applying beta-rule and splitting (355), into two cases. % 179.61/124.74 |-Branch one: % 179.61/124.74 | (373) all_399_0_139 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (373) yields: % 179.61/124.74 | (374) all_399_0_139 = 0 % 179.61/124.74 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 179.61/124.74 | (376) all_135_1_90 = all_0_3_3 % 179.61/124.74 | % 179.61/124.74 | From (376) and (241) follows: % 179.61/124.74 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.74 | (212) all_85_0_75 = 0 % 179.61/124.74 | % 179.61/124.74 | Equations (212) can reduce 181 to: % 179.61/124.74 | (173) $false % 179.61/124.74 | % 179.61/124.74 |-The branch is then unsatisfiable % 179.61/124.74 |-Branch two: % 179.61/124.74 | (380) all_399_0_139 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (380) yields: % 179.61/124.74 | (374) all_399_0_139 = 0 % 179.61/124.74 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 179.61/124.74 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 179.61/124.74 | % 179.61/124.74 | Instantiating (383) with all_450_0_157 yields: % 179.61/124.74 | (492) (all_450_0_157 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_450_0_157 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 179.61/124.74 | % 179.61/124.74 +-Applying beta-rule and splitting (367), into two cases. % 179.61/124.74 |-Branch one: % 179.61/124.74 | (385) all_407_0_140 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (385) yields: % 179.61/124.74 | (386) all_407_0_140 = 0 % 179.61/124.74 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 179.61/124.74 | (388) all_110_1_84 = all_0_6_6 % 179.61/124.74 | % 179.61/124.74 | From (388) and (210) follows: % 179.61/124.74 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 179.61/124.74 | % 179.61/124.74 +-Applying beta-rule and splitting (480), into two cases. % 179.61/124.74 |-Branch one: % 179.61/124.74 | (498) all_426_0_154 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (498) yields: % 179.61/124.74 | (499) all_426_0_154 = 0 % 179.61/124.74 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 179.61/124.74 | (501) all_226_1_115 = all_0_3_3 % 179.61/124.74 | % 179.61/124.74 | From (501) and (308) follows: % 179.61/124.74 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.74 | % 179.61/124.74 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.74 | (212) all_85_0_75 = 0 % 179.61/124.74 | % 179.61/124.74 | Equations (212) can reduce 181 to: % 179.61/124.74 | (173) $false % 179.61/124.74 | % 179.61/124.74 |-The branch is then unsatisfiable % 179.61/124.74 |-Branch two: % 179.61/124.74 | (505) all_426_0_154 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.74 | % 179.61/124.74 | Applying alpha-rule on (505) yields: % 179.61/124.74 | (499) all_426_0_154 = 0 % 179.61/124.74 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 179.61/124.75 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 179.61/124.75 | % 179.61/124.75 | Instantiating (508) with all_469_0_158 yields: % 179.61/124.75 | (509) (all_469_0_158 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_158 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 179.61/124.75 | % 179.61/124.75 +-Applying beta-rule and splitting (492), into two cases. % 179.61/124.75 |-Branch one: % 179.61/124.75 | (510) all_450_0_157 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (510) yields: % 179.61/124.75 | (511) all_450_0_157 = 0 % 179.61/124.75 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 179.61/124.75 | (405) all_135_1_90 = all_0_6_6 % 179.61/124.75 | % 179.61/124.75 | From (405) and (232) follows: % 179.61/124.75 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 179.61/124.75 | (233) all_110_0_83 = 0 % 179.61/124.75 | % 179.61/124.75 | Equations (233) can reduce 209 to: % 179.61/124.75 | (173) $false % 179.61/124.75 | % 179.61/124.75 |-The branch is then unsatisfiable % 179.61/124.75 |-Branch two: % 179.61/124.75 | (517) all_450_0_157 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (517) yields: % 179.61/124.75 | (511) all_450_0_157 = 0 % 179.61/124.75 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 179.61/124.75 | (412) all_135_1_90 = all_0_9_9 % 179.61/124.75 | % 179.61/124.75 | From (412) and (231) follows: % 179.61/124.75 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 179.61/124.75 | % 179.61/124.75 +-Applying beta-rule and splitting (509), into two cases. % 179.61/124.75 |-Branch one: % 179.61/124.75 | (522) all_469_0_158 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (522) yields: % 179.61/124.75 | (523) all_469_0_158 = 0 % 179.61/124.75 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 179.61/124.75 | (525) all_226_1_115 = all_0_6_6 % 179.61/124.75 | % 179.61/124.75 | From (525) and (302) follows: % 179.61/124.75 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 179.61/124.75 | (233) all_110_0_83 = 0 % 179.61/124.75 | % 179.61/124.75 | Equations (233) can reduce 209 to: % 179.61/124.75 | (173) $false % 179.61/124.75 | % 179.61/124.75 |-The branch is then unsatisfiable % 179.61/124.75 |-Branch two: % 179.61/124.75 | (529) all_469_0_158 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (529) yields: % 179.61/124.75 | (523) all_469_0_158 = 0 % 179.61/124.75 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 179.61/124.75 | (532) all_226_1_115 = all_0_9_9 % 179.61/124.75 | % 179.61/124.75 | From (532) and (295) follows: % 179.61/124.75 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 179.61/124.75 | (261) all_135_0_89 = 0 % 179.61/124.75 | % 179.61/124.75 | Equations (261) can reduce 230 to: % 179.61/124.75 | (173) $false % 179.61/124.75 | % 179.61/124.75 |-The branch is then unsatisfiable % 179.61/124.75 |-Branch two: % 179.61/124.75 | (428) all_407_0_140 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (428) yields: % 179.61/124.75 | (386) all_407_0_140 = 0 % 179.61/124.75 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 179.61/124.75 | (431) all_110_1_84 = all_0_9_9 % 179.61/124.75 | % 179.61/124.75 | From (431) and (210) follows: % 179.61/124.75 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 179.61/124.75 | % 179.61/124.75 +-Applying beta-rule and splitting (480), into two cases. % 179.61/124.75 |-Branch one: % 179.61/124.75 | (498) all_426_0_154 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (498) yields: % 179.61/124.75 | (499) all_426_0_154 = 0 % 179.61/124.75 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 179.61/124.75 | (501) all_226_1_115 = all_0_3_3 % 179.61/124.75 | % 179.61/124.75 | From (501) and (308) follows: % 179.61/124.75 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.75 | (212) all_85_0_75 = 0 % 179.61/124.75 | % 179.61/124.75 | Equations (212) can reduce 181 to: % 179.61/124.75 | (173) $false % 179.61/124.75 | % 179.61/124.75 |-The branch is then unsatisfiable % 179.61/124.75 |-Branch two: % 179.61/124.75 | (505) all_426_0_154 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (505) yields: % 179.61/124.75 | (499) all_426_0_154 = 0 % 179.61/124.75 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 179.61/124.75 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 179.61/124.75 | % 179.61/124.75 | Instantiating (508) with all_469_0_161 yields: % 179.61/124.75 | (552) (all_469_0_161 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_161 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 179.61/124.75 | % 179.61/124.75 +-Applying beta-rule and splitting (492), into two cases. % 179.61/124.75 |-Branch one: % 179.61/124.75 | (510) all_450_0_157 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (510) yields: % 179.61/124.75 | (511) all_450_0_157 = 0 % 179.61/124.75 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 179.61/124.75 | (405) all_135_1_90 = all_0_6_6 % 179.61/124.75 | % 179.61/124.75 | From (405) and (231) follows: % 179.61/124.75 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 179.61/124.75 | % 179.61/124.75 +-Applying beta-rule and splitting (552), into two cases. % 179.61/124.75 |-Branch one: % 179.61/124.75 | (558) all_469_0_161 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (558) yields: % 179.61/124.75 | (559) all_469_0_161 = 0 % 179.61/124.75 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 179.61/124.75 | (525) all_226_1_115 = all_0_6_6 % 179.61/124.75 | % 179.61/124.75 | From (525) and (295) follows: % 179.61/124.75 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 179.61/124.75 | (261) all_135_0_89 = 0 % 179.61/124.75 | % 179.61/124.75 | Equations (261) can reduce 230 to: % 179.61/124.75 | (173) $false % 179.61/124.75 | % 179.61/124.75 |-The branch is then unsatisfiable % 179.61/124.75 |-Branch two: % 179.61/124.75 | (565) all_469_0_161 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (565) yields: % 179.61/124.75 | (559) all_469_0_161 = 0 % 179.61/124.75 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 179.61/124.75 | (532) all_226_1_115 = all_0_9_9 % 179.61/124.75 | % 179.61/124.75 | From (532) and (302) follows: % 179.61/124.75 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 179.61/124.75 | (233) all_110_0_83 = 0 % 179.61/124.75 | % 179.61/124.75 | Equations (233) can reduce 209 to: % 179.61/124.75 | (173) $false % 179.61/124.75 | % 179.61/124.75 |-The branch is then unsatisfiable % 179.61/124.75 |-Branch two: % 179.61/124.75 | (517) all_450_0_157 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Applying alpha-rule on (517) yields: % 179.61/124.75 | (511) all_450_0_157 = 0 % 179.61/124.75 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 179.61/124.75 | (412) all_135_1_90 = all_0_9_9 % 179.61/124.75 | % 179.61/124.75 | From (412) and (232) follows: % 179.61/124.75 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 179.61/124.75 | % 179.61/124.75 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 179.61/124.75 | (233) all_110_0_83 = 0 % 179.61/124.75 | % 179.61/124.75 | Equations (233) can reduce 209 to: % 179.61/124.75 | (173) $false % 179.61/124.75 | % 179.61/124.75 |-The branch is then unsatisfiable % 179.61/124.75 |-Branch two: % 179.61/124.75 | (579) all_364_0_136 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 179.61/124.75 | % 179.61/124.76 | Applying alpha-rule on (579) yields: % 179.61/124.76 | (477) all_364_0_136 = 0 % 179.61/124.76 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 179.61/124.76 | (582) all_226_1_115 = all_0_5_5 % 179.61/124.76 | % 179.61/124.76 | From (582) and (287) follows: % 179.61/124.76 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 179.61/124.76 | (288) all_181_0_102 = 0 % 179.61/124.76 | % 179.61/124.76 | Equations (288) can reduce 258 to: % 179.61/124.76 | (173) $false % 179.61/124.76 | % 179.61/124.76 |-The branch is then unsatisfiable % 179.61/124.76 |-Branch two: % 179.61/124.76 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 179.61/124.76 | % 179.61/124.76 | Applying alpha-rule on (586) yields: % 179.61/124.76 | (352) all_340_0_133 = 0 % 179.61/124.76 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 179.61/124.76 | (589) all_135_1_90 = all_0_5_5 % 179.61/124.76 | % 179.61/124.76 | From (589) and (231) follows: % 179.61/124.76 | (590) mem(all_0_5_5, all_99_1_80) = all_135_0_89 % 179.61/124.76 | % 179.61/124.76 +-Applying beta-rule and splitting (335), into two cases. % 179.61/124.76 |-Branch one: % 179.61/124.76 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 179.61/124.76 | % 179.61/124.76 | Applying alpha-rule on (356) yields: % 179.61/124.76 | (357) all_348_0_134 = 0 % 179.61/124.76 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 179.61/124.76 | (359) all_110_1_84 = all_0_3_3 % 179.61/124.76 | % 179.61/124.76 | From (359) and (211) follows: % 179.61/124.76 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.76 | (212) all_85_0_75 = 0 % 179.61/124.76 | % 179.61/124.76 | Equations (212) can reduce 181 to: % 179.61/124.76 | (173) $false % 179.61/124.76 | % 179.61/124.76 |-The branch is then unsatisfiable % 179.61/124.76 |-Branch two: % 179.61/124.76 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 179.61/124.76 | % 179.61/124.76 | Applying alpha-rule on (363) yields: % 179.61/124.76 | (357) all_348_0_134 = 0 % 179.61/124.76 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 179.61/124.76 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 179.61/124.76 | % 179.61/124.76 | Instantiating (366) with all_410_0_164 yields: % 179.61/124.76 | (602) (all_410_0_164 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_410_0_164 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 179.61/124.76 | % 179.61/124.76 +-Applying beta-rule and splitting (340), into two cases. % 179.61/124.76 |-Branch one: % 179.61/124.76 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 179.61/124.76 | % 179.61/124.76 | Applying alpha-rule on (368) yields: % 179.61/124.76 | (369) all_356_0_135 = 0 % 179.61/124.76 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 179.61/124.76 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 179.61/124.76 | % 179.61/124.76 | Instantiating (371) with all_418_0_165 yields: % 179.61/124.76 | (607) (all_418_0_165 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_418_0_165 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 179.61/124.76 | % 179.61/124.76 +-Applying beta-rule and splitting (345), into two cases. % 179.61/124.76 |-Branch one: % 179.61/124.76 | (476) all_364_0_136 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 179.61/124.76 | % 179.61/124.76 | Applying alpha-rule on (476) yields: % 179.61/124.76 | (477) all_364_0_136 = 0 % 179.61/124.76 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 179.61/124.76 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 179.61/124.76 | % 179.61/124.76 | Instantiating (479) with all_426_0_166 yields: % 179.61/124.76 | (612) (all_426_0_166 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_426_0_166 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 179.61/124.76 | % 179.61/124.76 +-Applying beta-rule and splitting (602), into two cases. % 179.61/124.76 |-Branch one: % 179.61/124.76 | (613) all_410_0_164 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 179.61/124.76 | % 179.61/124.76 | Applying alpha-rule on (613) yields: % 179.61/124.76 | (614) all_410_0_164 = 0 % 179.61/124.76 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 179.61/124.76 | (388) all_110_1_84 = all_0_6_6 % 179.61/124.76 | % 179.61/124.76 | From (388) and (210) follows: % 179.61/124.76 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 179.61/124.76 | % 179.61/124.76 +-Applying beta-rule and splitting (607), into two cases. % 179.61/124.76 |-Branch one: % 179.61/124.76 | (618) all_418_0_165 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.76 | % 179.61/124.76 | Applying alpha-rule on (618) yields: % 179.61/124.76 | (619) all_418_0_165 = 0 % 179.61/124.76 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.76 | % 179.61/124.76 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 179.61/124.77 | (393) all_181_1_103 = all_0_3_3 % 179.61/124.77 | % 179.61/124.77 | From (393) and (297) follows: % 179.61/124.77 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.77 | (212) all_85_0_75 = 0 % 179.61/124.77 | % 179.61/124.77 | Equations (212) can reduce 181 to: % 179.61/124.77 | (173) $false % 179.61/124.77 | % 179.61/124.77 |-The branch is then unsatisfiable % 179.61/124.77 |-Branch two: % 179.61/124.77 | (625) all_418_0_165 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (625) yields: % 179.61/124.77 | (619) all_418_0_165 = 0 % 179.61/124.77 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 179.61/124.77 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 179.61/124.77 | % 179.61/124.77 | Instantiating (400) with all_461_0_169 yields: % 179.61/124.77 | (629) (all_461_0_169 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_169 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 179.61/124.77 | % 179.61/124.77 +-Applying beta-rule and splitting (612), into two cases. % 179.61/124.77 |-Branch one: % 179.61/124.77 | (630) all_426_0_166 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (630) yields: % 179.61/124.77 | (631) all_426_0_166 = 0 % 179.61/124.77 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 179.61/124.77 | (501) all_226_1_115 = all_0_3_3 % 179.61/124.77 | % 179.61/124.77 | From (501) and (308) follows: % 179.61/124.77 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.77 | (212) all_85_0_75 = 0 % 179.61/124.77 | % 179.61/124.77 | Equations (212) can reduce 181 to: % 179.61/124.77 | (173) $false % 179.61/124.77 | % 179.61/124.77 |-The branch is then unsatisfiable % 179.61/124.77 |-Branch two: % 179.61/124.77 | (637) all_426_0_166 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (637) yields: % 179.61/124.77 | (631) all_426_0_166 = 0 % 179.61/124.77 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 179.61/124.77 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 179.61/124.77 | % 179.61/124.77 | Instantiating (508) with all_469_0_170 yields: % 179.61/124.77 | (641) (all_469_0_170 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_170 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 179.61/124.77 | % 179.61/124.77 +-Applying beta-rule and splitting (629), into two cases. % 179.61/124.77 |-Branch one: % 179.61/124.77 | (642) all_461_0_169 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (642) yields: % 179.61/124.77 | (643) all_461_0_169 = 0 % 179.61/124.77 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 179.61/124.77 | (417) all_181_1_103 = all_0_6_6 % 179.61/124.77 | % 179.61/124.77 | From (417) and (269) follows: % 179.61/124.77 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 179.61/124.77 | (233) all_110_0_83 = 0 % 179.61/124.77 | % 179.61/124.77 | Equations (233) can reduce 209 to: % 179.61/124.77 | (173) $false % 179.61/124.77 | % 179.61/124.77 |-The branch is then unsatisfiable % 179.61/124.77 |-Branch two: % 179.61/124.77 | (649) all_461_0_169 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (649) yields: % 179.61/124.77 | (643) all_461_0_169 = 0 % 179.61/124.77 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 179.61/124.77 | (424) all_181_1_103 = all_0_9_9 % 179.61/124.77 | % 179.61/124.77 | From (424) and (259) follows: % 179.61/124.77 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 179.61/124.77 | % 179.61/124.77 +-Applying beta-rule and splitting (641), into two cases. % 179.61/124.77 |-Branch one: % 179.61/124.77 | (654) all_469_0_170 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (654) yields: % 179.61/124.77 | (655) all_469_0_170 = 0 % 179.61/124.77 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 179.61/124.77 | (525) all_226_1_115 = all_0_6_6 % 179.61/124.77 | % 179.61/124.77 | From (525) and (302) follows: % 179.61/124.77 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 179.61/124.77 | (233) all_110_0_83 = 0 % 179.61/124.77 | % 179.61/124.77 | Equations (233) can reduce 209 to: % 179.61/124.77 | (173) $false % 179.61/124.77 | % 179.61/124.77 |-The branch is then unsatisfiable % 179.61/124.77 |-Branch two: % 179.61/124.77 | (661) all_469_0_170 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (661) yields: % 179.61/124.77 | (655) all_469_0_170 = 0 % 179.61/124.77 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 179.61/124.77 | (532) all_226_1_115 = all_0_9_9 % 179.61/124.77 | % 179.61/124.77 | From (532) and (287) follows: % 179.61/124.77 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 179.61/124.77 | (288) all_181_0_102 = 0 % 179.61/124.77 | % 179.61/124.77 | Equations (288) can reduce 258 to: % 179.61/124.77 | (173) $false % 179.61/124.77 | % 179.61/124.77 |-The branch is then unsatisfiable % 179.61/124.77 |-Branch two: % 179.61/124.77 | (668) all_410_0_164 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (668) yields: % 179.61/124.77 | (614) all_410_0_164 = 0 % 179.61/124.77 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 179.61/124.77 | (431) all_110_1_84 = all_0_9_9 % 179.61/124.77 | % 179.61/124.77 | From (431) and (210) follows: % 179.61/124.77 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 179.61/124.77 | % 179.61/124.77 +-Applying beta-rule and splitting (607), into two cases. % 179.61/124.77 |-Branch one: % 179.61/124.77 | (618) all_418_0_165 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (618) yields: % 179.61/124.77 | (619) all_418_0_165 = 0 % 179.61/124.77 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 179.61/124.77 | (393) all_181_1_103 = all_0_3_3 % 179.61/124.77 | % 179.61/124.77 | From (393) and (297) follows: % 179.61/124.77 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.77 | (212) all_85_0_75 = 0 % 179.61/124.77 | % 179.61/124.77 | Equations (212) can reduce 181 to: % 179.61/124.77 | (173) $false % 179.61/124.77 | % 179.61/124.77 |-The branch is then unsatisfiable % 179.61/124.77 |-Branch two: % 179.61/124.77 | (625) all_418_0_165 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (625) yields: % 179.61/124.77 | (619) all_418_0_165 = 0 % 179.61/124.77 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 179.61/124.77 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 179.61/124.77 | % 179.61/124.77 | Instantiating (400) with all_461_0_173 yields: % 179.61/124.77 | (684) (all_461_0_173 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_173 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 179.61/124.77 | % 179.61/124.77 +-Applying beta-rule and splitting (612), into two cases. % 179.61/124.77 |-Branch one: % 179.61/124.77 | (630) all_426_0_166 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (630) yields: % 179.61/124.77 | (631) all_426_0_166 = 0 % 179.61/124.77 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 179.61/124.77 | (501) all_226_1_115 = all_0_3_3 % 179.61/124.77 | % 179.61/124.77 | From (501) and (308) follows: % 179.61/124.77 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 179.61/124.77 | (212) all_85_0_75 = 0 % 179.61/124.77 | % 179.61/124.77 | Equations (212) can reduce 181 to: % 179.61/124.77 | (173) $false % 179.61/124.77 | % 179.61/124.77 |-The branch is then unsatisfiable % 179.61/124.77 |-Branch two: % 179.61/124.77 | (637) all_426_0_166 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (637) yields: % 179.61/124.77 | (631) all_426_0_166 = 0 % 179.61/124.77 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 179.61/124.77 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 179.61/124.77 | % 179.61/124.77 | Instantiating (508) with all_469_0_174 yields: % 179.61/124.77 | (696) (all_469_0_174 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_174 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 179.61/124.77 | % 179.61/124.77 +-Applying beta-rule and splitting (684), into two cases. % 179.61/124.77 |-Branch one: % 179.61/124.77 | (697) all_461_0_173 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (697) yields: % 179.61/124.77 | (698) all_461_0_173 = 0 % 179.61/124.77 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 179.61/124.77 | (417) all_181_1_103 = all_0_6_6 % 179.61/124.77 | % 179.61/124.77 | From (417) and (259) follows: % 179.61/124.77 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 179.61/124.77 | % 179.61/124.77 +-Applying beta-rule and splitting (696), into two cases. % 179.61/124.77 |-Branch one: % 179.61/124.77 | (702) all_469_0_174 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (702) yields: % 179.61/124.77 | (703) all_469_0_174 = 0 % 179.61/124.77 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 179.61/124.77 | (525) all_226_1_115 = all_0_6_6 % 179.61/124.77 | % 179.61/124.77 | From (525) and (287) follows: % 179.61/124.77 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 179.61/124.77 | (288) all_181_0_102 = 0 % 179.61/124.77 | % 179.61/124.77 | Equations (288) can reduce 258 to: % 179.61/124.77 | (173) $false % 179.61/124.77 | % 179.61/124.77 |-The branch is then unsatisfiable % 179.61/124.77 |-Branch two: % 179.61/124.77 | (709) all_469_0_174 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (709) yields: % 179.61/124.77 | (703) all_469_0_174 = 0 % 179.61/124.77 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 179.61/124.77 | (532) all_226_1_115 = all_0_9_9 % 179.61/124.77 | % 179.61/124.77 | From (532) and (302) follows: % 179.61/124.77 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 179.61/124.77 | (233) all_110_0_83 = 0 % 179.61/124.77 | % 179.61/124.77 | Equations (233) can reduce 209 to: % 179.61/124.77 | (173) $false % 179.61/124.77 | % 179.61/124.77 |-The branch is then unsatisfiable % 179.61/124.77 |-Branch two: % 179.61/124.77 | (716) all_461_0_173 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Applying alpha-rule on (716) yields: % 179.61/124.77 | (698) all_461_0_173 = 0 % 179.61/124.77 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 179.61/124.77 | (424) all_181_1_103 = all_0_9_9 % 179.61/124.77 | % 179.61/124.77 | From (424) and (269) follows: % 179.61/124.77 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 179.61/124.77 | % 179.61/124.77 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 179.61/124.77 | (233) all_110_0_83 = 0 % 179.61/124.78 | % 179.61/124.78 | Equations (233) can reduce 209 to: % 179.61/124.78 | (173) $false % 179.61/124.78 | % 179.61/124.78 |-The branch is then unsatisfiable % 179.61/124.78 |-Branch two: % 179.61/124.78 | (579) all_364_0_136 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (579) yields: % 179.61/124.78 | (477) all_364_0_136 = 0 % 179.61/124.78 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 179.61/124.78 | (582) all_226_1_115 = all_0_5_5 % 179.61/124.78 | % 179.61/124.78 | From (582) and (295) follows: % 179.61/124.78 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 179.61/124.78 | (261) all_135_0_89 = 0 % 179.61/124.78 | % 179.61/124.78 | Equations (261) can reduce 230 to: % 179.61/124.78 | (173) $false % 179.61/124.78 | % 179.61/124.78 |-The branch is then unsatisfiable % 179.61/124.78 |-Branch two: % 179.61/124.78 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (471) yields: % 179.61/124.78 | (369) all_356_0_135 = 0 % 179.61/124.78 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 179.61/124.78 | (474) all_181_1_103 = all_0_5_5 % 179.61/124.78 | % 179.61/124.78 | From (474) and (260) follows: % 179.61/124.78 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 179.61/124.78 | (261) all_135_0_89 = 0 % 179.61/124.78 | % 179.61/124.78 | Equations (261) can reduce 230 to: % 179.61/124.78 | (173) $false % 179.61/124.78 | % 179.61/124.78 |-The branch is then unsatisfiable % 179.61/124.78 |-Branch two: % 179.61/124.78 | (737) all_332_0_132 = 0 & mem(all_85_1_76, all_0_3_3) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (737) yields: % 179.61/124.78 | (347) all_332_0_132 = 0 % 179.61/124.78 | (739) mem(all_85_1_76, all_0_3_3) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_85_1_76, all_0_3_3) = 0, yields: % 179.61/124.78 | (740) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_6_6) = 0)) % 179.61/124.78 | % 179.61/124.78 | Instantiating (740) with all_388_0_177 yields: % 179.61/124.78 | (741) (all_388_0_177 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (all_388_0_177 = 0 & mem(all_85_1_76, all_0_6_6) = 0) % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (330), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (351) yields: % 179.61/124.78 | (352) all_340_0_133 = 0 % 179.61/124.78 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 179.61/124.78 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 179.61/124.78 | % 179.61/124.78 | Instantiating (354) with all_396_0_178 yields: % 179.61/124.78 | (746) (all_396_0_178 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_396_0_178 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (335), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (356) yields: % 179.61/124.78 | (357) all_348_0_134 = 0 % 179.61/124.78 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 179.61/124.78 | (359) all_110_1_84 = all_0_3_3 % 179.61/124.78 | % 179.61/124.78 | From (359) and (210) follows: % 179.61/124.78 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (340), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (368) yields: % 179.61/124.78 | (369) all_356_0_135 = 0 % 179.61/124.78 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 179.61/124.78 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 179.61/124.78 | % 179.61/124.78 | Instantiating (371) with all_415_0_179 yields: % 179.61/124.78 | (756) (all_415_0_179 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_415_0_179 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (741), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (757) all_388_0_177 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (757) yields: % 179.61/124.78 | (758) all_388_0_177 = 0 % 179.61/124.78 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 179.61/124.78 | (760) all_85_1_76 = all_0_6_6 % 179.61/124.78 | % 179.61/124.78 | From (760) and (182) follows: % 179.61/124.78 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (746), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (762) all_396_0_178 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (762) yields: % 179.61/124.78 | (763) all_396_0_178 = 0 % 179.61/124.78 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 179.61/124.78 | (376) all_135_1_90 = all_0_3_3 % 179.61/124.78 | % 179.61/124.78 | From (376) and (232) follows: % 179.61/124.78 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 179.61/124.78 | (233) all_110_0_83 = 0 % 179.61/124.78 | % 179.61/124.78 | Equations (233) can reduce 209 to: % 179.61/124.78 | (173) $false % 179.61/124.78 | % 179.61/124.78 |-The branch is then unsatisfiable % 179.61/124.78 |-Branch two: % 179.61/124.78 | (769) all_396_0_178 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (769) yields: % 179.61/124.78 | (763) all_396_0_178 = 0 % 179.61/124.78 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 179.61/124.78 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 179.61/124.78 | % 179.61/124.78 | Instantiating (383) with all_458_0_183 yields: % 179.61/124.78 | (773) (all_458_0_183 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_458_0_183 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (756), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (774) all_415_0_179 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (774) yields: % 179.61/124.78 | (775) all_415_0_179 = 0 % 179.61/124.78 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 179.61/124.78 | (393) all_181_1_103 = all_0_3_3 % 179.61/124.78 | % 179.61/124.78 | From (393) and (269) follows: % 179.61/124.78 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 179.61/124.78 | (233) all_110_0_83 = 0 % 179.61/124.78 | % 179.61/124.78 | Equations (233) can reduce 209 to: % 179.61/124.78 | (173) $false % 179.61/124.78 | % 179.61/124.78 |-The branch is then unsatisfiable % 179.61/124.78 |-Branch two: % 179.61/124.78 | (781) all_415_0_179 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (781) yields: % 179.61/124.78 | (775) all_415_0_179 = 0 % 179.61/124.78 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 179.61/124.78 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 179.61/124.78 | % 179.61/124.78 | Instantiating (400) with all_466_0_184 yields: % 179.61/124.78 | (785) (all_466_0_184 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_466_0_184 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (773), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (786) all_458_0_183 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (786) yields: % 179.61/124.78 | (787) all_458_0_183 = 0 % 179.61/124.78 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 179.61/124.78 | (405) all_135_1_90 = all_0_6_6 % 179.61/124.78 | % 179.61/124.78 | From (405) and (241) follows: % 179.61/124.78 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 179.61/124.78 | (212) all_85_0_75 = 0 % 179.61/124.78 | % 179.61/124.78 | Equations (212) can reduce 181 to: % 179.61/124.78 | (173) $false % 179.61/124.78 | % 179.61/124.78 |-The branch is then unsatisfiable % 179.61/124.78 |-Branch two: % 179.61/124.78 | (793) all_458_0_183 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (793) yields: % 179.61/124.78 | (787) all_458_0_183 = 0 % 179.61/124.78 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 179.61/124.78 | (412) all_135_1_90 = all_0_9_9 % 179.61/124.78 | % 179.61/124.78 | From (412) and (231) follows: % 179.61/124.78 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (785), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (798) all_466_0_184 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (798) yields: % 179.61/124.78 | (799) all_466_0_184 = 0 % 179.61/124.78 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 179.61/124.78 | (417) all_181_1_103 = all_0_6_6 % 179.61/124.78 | % 179.61/124.78 | From (417) and (297) follows: % 179.61/124.78 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 179.61/124.78 | (212) all_85_0_75 = 0 % 179.61/124.78 | % 179.61/124.78 | Equations (212) can reduce 181 to: % 179.61/124.78 | (173) $false % 179.61/124.78 | % 179.61/124.78 |-The branch is then unsatisfiable % 179.61/124.78 |-Branch two: % 179.61/124.78 | (805) all_466_0_184 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (805) yields: % 179.61/124.78 | (799) all_466_0_184 = 0 % 179.61/124.78 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 179.61/124.78 | (424) all_181_1_103 = all_0_9_9 % 179.61/124.78 | % 179.61/124.78 | From (424) and (260) follows: % 179.61/124.78 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 179.61/124.78 | (261) all_135_0_89 = 0 % 179.61/124.78 | % 179.61/124.78 | Equations (261) can reduce 230 to: % 179.61/124.78 | (173) $false % 179.61/124.78 | % 179.61/124.78 |-The branch is then unsatisfiable % 179.61/124.78 |-Branch two: % 179.61/124.78 | (812) all_388_0_177 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (812) yields: % 179.61/124.78 | (758) all_388_0_177 = 0 % 179.61/124.78 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 179.61/124.78 | (815) all_85_1_76 = all_0_9_9 % 179.61/124.78 | % 179.61/124.78 | From (815) and (182) follows: % 179.61/124.78 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (746), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (762) all_396_0_178 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (762) yields: % 179.61/124.78 | (763) all_396_0_178 = 0 % 179.61/124.78 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 179.61/124.78 | (376) all_135_1_90 = all_0_3_3 % 179.61/124.78 | % 179.61/124.78 | From (376) and (232) follows: % 179.61/124.78 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 179.61/124.78 | (233) all_110_0_83 = 0 % 179.61/124.78 | % 179.61/124.78 | Equations (233) can reduce 209 to: % 179.61/124.78 | (173) $false % 179.61/124.78 | % 179.61/124.78 |-The branch is then unsatisfiable % 179.61/124.78 |-Branch two: % 179.61/124.78 | (769) all_396_0_178 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (769) yields: % 179.61/124.78 | (763) all_396_0_178 = 0 % 179.61/124.78 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.78 | % 179.61/124.78 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 179.61/124.78 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 179.61/124.78 | % 179.61/124.78 | Instantiating (383) with all_458_0_188 yields: % 179.61/124.78 | (828) (all_458_0_188 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_458_0_188 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 179.61/124.78 | % 179.61/124.78 +-Applying beta-rule and splitting (756), into two cases. % 179.61/124.78 |-Branch one: % 179.61/124.78 | (774) all_415_0_179 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.78 | % 179.61/124.78 | Applying alpha-rule on (774) yields: % 179.61/124.78 | (775) all_415_0_179 = 0 % 179.61/124.78 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 179.61/124.79 | (393) all_181_1_103 = all_0_3_3 % 179.61/124.79 | % 179.61/124.79 | From (393) and (269) follows: % 179.61/124.79 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 179.61/124.79 | (233) all_110_0_83 = 0 % 179.61/124.79 | % 179.61/124.79 | Equations (233) can reduce 209 to: % 179.61/124.79 | (173) $false % 179.61/124.79 | % 179.61/124.79 |-The branch is then unsatisfiable % 179.61/124.79 |-Branch two: % 179.61/124.79 | (781) all_415_0_179 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (781) yields: % 179.61/124.79 | (775) all_415_0_179 = 0 % 179.61/124.79 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 179.61/124.79 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 179.61/124.79 | % 179.61/124.79 | Instantiating (400) with all_466_0_189 yields: % 179.61/124.79 | (840) (all_466_0_189 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_466_0_189 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 179.61/124.79 | % 179.61/124.79 +-Applying beta-rule and splitting (828), into two cases. % 179.61/124.79 |-Branch one: % 179.61/124.79 | (841) all_458_0_188 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (841) yields: % 179.61/124.79 | (842) all_458_0_188 = 0 % 179.61/124.79 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 179.61/124.79 | (405) all_135_1_90 = all_0_6_6 % 179.61/124.79 | % 179.61/124.79 | From (405) and (231) follows: % 179.61/124.79 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 179.61/124.79 | % 179.61/124.79 +-Applying beta-rule and splitting (840), into two cases. % 179.61/124.79 |-Branch one: % 179.61/124.79 | (846) all_466_0_189 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (846) yields: % 179.61/124.79 | (847) all_466_0_189 = 0 % 179.61/124.79 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 179.61/124.79 | (417) all_181_1_103 = all_0_6_6 % 179.61/124.79 | % 179.61/124.79 | From (417) and (260) follows: % 179.61/124.79 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 179.61/124.79 | (261) all_135_0_89 = 0 % 179.61/124.79 | % 179.61/124.79 | Equations (261) can reduce 230 to: % 179.61/124.79 | (173) $false % 179.61/124.79 | % 179.61/124.79 |-The branch is then unsatisfiable % 179.61/124.79 |-Branch two: % 179.61/124.79 | (853) all_466_0_189 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (853) yields: % 179.61/124.79 | (847) all_466_0_189 = 0 % 179.61/124.79 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 179.61/124.79 | (424) all_181_1_103 = all_0_9_9 % 179.61/124.79 | % 179.61/124.79 | From (424) and (297) follows: % 179.61/124.79 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 179.61/124.79 | (212) all_85_0_75 = 0 % 179.61/124.79 | % 179.61/124.79 | Equations (212) can reduce 181 to: % 179.61/124.79 | (173) $false % 179.61/124.79 | % 179.61/124.79 |-The branch is then unsatisfiable % 179.61/124.79 |-Branch two: % 179.61/124.79 | (860) all_458_0_188 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (860) yields: % 179.61/124.79 | (842) all_458_0_188 = 0 % 179.61/124.79 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 179.61/124.79 | (412) all_135_1_90 = all_0_9_9 % 179.61/124.79 | % 179.61/124.79 | From (412) and (241) follows: % 179.61/124.79 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 179.61/124.79 | (212) all_85_0_75 = 0 % 179.61/124.79 | % 179.61/124.79 | Equations (212) can reduce 181 to: % 179.61/124.79 | (173) $false % 179.61/124.79 | % 179.61/124.79 |-The branch is then unsatisfiable % 179.61/124.79 |-Branch two: % 179.61/124.79 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (471) yields: % 179.61/124.79 | (369) all_356_0_135 = 0 % 179.61/124.79 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 179.61/124.79 | (474) all_181_1_103 = all_0_5_5 % 179.61/124.79 | % 179.61/124.79 | From (474) and (259) follows: % 179.61/124.79 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 179.61/124.79 | % 179.61/124.79 +-Applying beta-rule and splitting (345), into two cases. % 179.61/124.79 |-Branch one: % 179.61/124.79 | (476) all_364_0_136 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (476) yields: % 179.61/124.79 | (477) all_364_0_136 = 0 % 179.61/124.79 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 179.61/124.79 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 179.61/124.79 | % 179.61/124.79 | Instantiating (479) with all_426_0_193 yields: % 179.61/124.79 | (876) (all_426_0_193 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_426_0_193 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 179.61/124.79 | % 179.61/124.79 +-Applying beta-rule and splitting (741), into two cases. % 179.61/124.79 |-Branch one: % 179.61/124.79 | (757) all_388_0_177 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (757) yields: % 179.61/124.79 | (758) all_388_0_177 = 0 % 179.61/124.79 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 179.61/124.79 | (760) all_85_1_76 = all_0_6_6 % 179.61/124.79 | % 179.61/124.79 | From (760) and (182) follows: % 179.61/124.79 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 179.61/124.79 | % 179.61/124.79 +-Applying beta-rule and splitting (746), into two cases. % 179.61/124.79 |-Branch one: % 179.61/124.79 | (762) all_396_0_178 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (762) yields: % 179.61/124.79 | (763) all_396_0_178 = 0 % 179.61/124.79 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 179.61/124.79 | (376) all_135_1_90 = all_0_3_3 % 179.61/124.79 | % 179.61/124.79 | From (376) and (232) follows: % 179.61/124.79 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 179.61/124.79 | (233) all_110_0_83 = 0 % 179.61/124.79 | % 179.61/124.79 | Equations (233) can reduce 209 to: % 179.61/124.79 | (173) $false % 179.61/124.79 | % 179.61/124.79 |-The branch is then unsatisfiable % 179.61/124.79 |-Branch two: % 179.61/124.79 | (769) all_396_0_178 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (769) yields: % 179.61/124.79 | (763) all_396_0_178 = 0 % 179.61/124.79 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 179.61/124.79 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 179.61/124.79 | % 179.61/124.79 | Instantiating (383) with all_461_0_196 yields: % 179.61/124.79 | (893) (all_461_0_196 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_461_0_196 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 179.61/124.79 | % 179.61/124.79 +-Applying beta-rule and splitting (876), into two cases. % 179.61/124.79 |-Branch one: % 179.61/124.79 | (894) all_426_0_193 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (894) yields: % 179.61/124.79 | (895) all_426_0_193 = 0 % 179.61/124.79 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 179.61/124.79 | (501) all_226_1_115 = all_0_3_3 % 179.61/124.79 | % 179.61/124.79 | From (501) and (302) follows: % 179.61/124.79 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 179.61/124.79 | (233) all_110_0_83 = 0 % 179.61/124.79 | % 179.61/124.79 | Equations (233) can reduce 209 to: % 179.61/124.79 | (173) $false % 179.61/124.79 | % 179.61/124.79 |-The branch is then unsatisfiable % 179.61/124.79 |-Branch two: % 179.61/124.79 | (901) all_426_0_193 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (901) yields: % 179.61/124.79 | (895) all_426_0_193 = 0 % 179.61/124.79 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 179.61/124.79 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 179.61/124.79 | % 179.61/124.79 | Instantiating (508) with all_469_0_197 yields: % 179.61/124.79 | (905) (all_469_0_197 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_197 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 179.61/124.79 | % 179.61/124.79 +-Applying beta-rule and splitting (893), into two cases. % 179.61/124.79 |-Branch one: % 179.61/124.79 | (906) all_461_0_196 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (906) yields: % 179.61/124.79 | (907) all_461_0_196 = 0 % 179.61/124.79 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 179.61/124.79 | (405) all_135_1_90 = all_0_6_6 % 179.61/124.79 | % 179.61/124.79 | From (405) and (241) follows: % 179.61/124.79 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 179.61/124.79 | (212) all_85_0_75 = 0 % 179.61/124.79 | % 179.61/124.79 | Equations (212) can reduce 181 to: % 179.61/124.79 | (173) $false % 179.61/124.79 | % 179.61/124.79 |-The branch is then unsatisfiable % 179.61/124.79 |-Branch two: % 179.61/124.79 | (913) all_461_0_196 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (913) yields: % 179.61/124.79 | (907) all_461_0_196 = 0 % 179.61/124.79 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 179.61/124.79 | (412) all_135_1_90 = all_0_9_9 % 179.61/124.79 | % 179.61/124.79 | From (412) and (231) follows: % 179.61/124.79 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 179.61/124.79 | % 179.61/124.79 +-Applying beta-rule and splitting (905), into two cases. % 179.61/124.79 |-Branch one: % 179.61/124.79 | (918) all_469_0_197 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (918) yields: % 179.61/124.79 | (919) all_469_0_197 = 0 % 179.61/124.79 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 179.61/124.79 | (525) all_226_1_115 = all_0_6_6 % 179.61/124.79 | % 179.61/124.79 | From (525) and (308) follows: % 179.61/124.79 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 179.61/124.79 | (212) all_85_0_75 = 0 % 179.61/124.79 | % 179.61/124.79 | Equations (212) can reduce 181 to: % 179.61/124.79 | (173) $false % 179.61/124.79 | % 179.61/124.79 |-The branch is then unsatisfiable % 179.61/124.79 |-Branch two: % 179.61/124.79 | (925) all_469_0_197 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (925) yields: % 179.61/124.79 | (919) all_469_0_197 = 0 % 179.61/124.79 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 179.61/124.79 | (532) all_226_1_115 = all_0_9_9 % 179.61/124.79 | % 179.61/124.79 | From (532) and (295) follows: % 179.61/124.79 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 179.61/124.79 | (261) all_135_0_89 = 0 % 179.61/124.79 | % 179.61/124.79 | Equations (261) can reduce 230 to: % 179.61/124.79 | (173) $false % 179.61/124.79 | % 179.61/124.79 |-The branch is then unsatisfiable % 179.61/124.79 |-Branch two: % 179.61/124.79 | (812) all_388_0_177 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Applying alpha-rule on (812) yields: % 179.61/124.79 | (758) all_388_0_177 = 0 % 179.61/124.79 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 179.61/124.79 | % 179.61/124.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 179.61/124.80 | (815) all_85_1_76 = all_0_9_9 % 179.61/124.80 | % 179.61/124.80 | From (815) and (182) follows: % 179.61/124.80 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 179.61/124.80 | % 179.61/124.80 +-Applying beta-rule and splitting (746), into two cases. % 179.61/124.80 |-Branch one: % 179.61/124.80 | (762) all_396_0_178 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (762) yields: % 179.61/124.80 | (763) all_396_0_178 = 0 % 179.61/124.80 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 179.61/124.80 | (376) all_135_1_90 = all_0_3_3 % 179.61/124.80 | % 179.61/124.80 | From (376) and (232) follows: % 179.61/124.80 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 179.61/124.80 | (233) all_110_0_83 = 0 % 179.61/124.80 | % 179.61/124.80 | Equations (233) can reduce 209 to: % 179.61/124.80 | (173) $false % 179.61/124.80 | % 179.61/124.80 |-The branch is then unsatisfiable % 179.61/124.80 |-Branch two: % 179.61/124.80 | (769) all_396_0_178 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (769) yields: % 179.61/124.80 | (763) all_396_0_178 = 0 % 179.61/124.80 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 179.61/124.80 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 179.61/124.80 | % 179.61/124.80 | Instantiating (383) with all_461_0_200 yields: % 179.61/124.80 | (948) (all_461_0_200 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_461_0_200 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 179.61/124.80 | % 179.61/124.80 +-Applying beta-rule and splitting (876), into two cases. % 179.61/124.80 |-Branch one: % 179.61/124.80 | (894) all_426_0_193 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (894) yields: % 179.61/124.80 | (895) all_426_0_193 = 0 % 179.61/124.80 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 179.61/124.80 | (501) all_226_1_115 = all_0_3_3 % 179.61/124.80 | % 179.61/124.80 | From (501) and (302) follows: % 179.61/124.80 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 179.61/124.80 | (233) all_110_0_83 = 0 % 179.61/124.80 | % 179.61/124.80 | Equations (233) can reduce 209 to: % 179.61/124.80 | (173) $false % 179.61/124.80 | % 179.61/124.80 |-The branch is then unsatisfiable % 179.61/124.80 |-Branch two: % 179.61/124.80 | (901) all_426_0_193 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (901) yields: % 179.61/124.80 | (895) all_426_0_193 = 0 % 179.61/124.80 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 179.61/124.80 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 179.61/124.80 | % 179.61/124.80 | Instantiating (508) with all_469_0_201 yields: % 179.61/124.80 | (960) (all_469_0_201 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_201 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 179.61/124.80 | % 179.61/124.80 +-Applying beta-rule and splitting (948), into two cases. % 179.61/124.80 |-Branch one: % 179.61/124.80 | (961) all_461_0_200 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (961) yields: % 179.61/124.80 | (962) all_461_0_200 = 0 % 179.61/124.80 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 179.61/124.80 | (405) all_135_1_90 = all_0_6_6 % 179.61/124.80 | % 179.61/124.80 | From (405) and (231) follows: % 179.61/124.80 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 179.61/124.80 | % 179.61/124.80 +-Applying beta-rule and splitting (960), into two cases. % 179.61/124.80 |-Branch one: % 179.61/124.80 | (966) all_469_0_201 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (966) yields: % 179.61/124.80 | (967) all_469_0_201 = 0 % 179.61/124.80 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 179.61/124.80 | (525) all_226_1_115 = all_0_6_6 % 179.61/124.80 | % 179.61/124.80 | From (525) and (295) follows: % 179.61/124.80 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 179.61/124.80 | (261) all_135_0_89 = 0 % 179.61/124.80 | % 179.61/124.80 | Equations (261) can reduce 230 to: % 179.61/124.80 | (173) $false % 179.61/124.80 | % 179.61/124.80 |-The branch is then unsatisfiable % 179.61/124.80 |-Branch two: % 179.61/124.80 | (973) all_469_0_201 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (973) yields: % 179.61/124.80 | (967) all_469_0_201 = 0 % 179.61/124.80 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 179.61/124.80 | (532) all_226_1_115 = all_0_9_9 % 179.61/124.80 | % 179.61/124.80 | From (532) and (308) follows: % 179.61/124.80 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 179.61/124.80 | (212) all_85_0_75 = 0 % 179.61/124.80 | % 179.61/124.80 | Equations (212) can reduce 181 to: % 179.61/124.80 | (173) $false % 179.61/124.80 | % 179.61/124.80 |-The branch is then unsatisfiable % 179.61/124.80 |-Branch two: % 179.61/124.80 | (980) all_461_0_200 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (980) yields: % 179.61/124.80 | (962) all_461_0_200 = 0 % 179.61/124.80 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 179.61/124.80 | (412) all_135_1_90 = all_0_9_9 % 179.61/124.80 | % 179.61/124.80 | From (412) and (241) follows: % 179.61/124.80 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 179.61/124.80 | (212) all_85_0_75 = 0 % 179.61/124.80 | % 179.61/124.80 | Equations (212) can reduce 181 to: % 179.61/124.80 | (173) $false % 179.61/124.80 | % 179.61/124.80 |-The branch is then unsatisfiable % 179.61/124.80 |-Branch two: % 179.61/124.80 | (579) all_364_0_136 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (579) yields: % 179.61/124.80 | (477) all_364_0_136 = 0 % 179.61/124.80 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 179.61/124.80 | (582) all_226_1_115 = all_0_5_5 % 179.61/124.80 | % 179.61/124.80 | From (582) and (287) follows: % 179.61/124.80 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 179.61/124.80 | (288) all_181_0_102 = 0 % 179.61/124.80 | % 179.61/124.80 | Equations (288) can reduce 258 to: % 179.61/124.80 | (173) $false % 179.61/124.80 | % 179.61/124.80 |-The branch is then unsatisfiable % 179.61/124.80 |-Branch two: % 179.61/124.80 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (363) yields: % 179.61/124.80 | (357) all_348_0_134 = 0 % 179.61/124.80 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 179.61/124.80 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 179.61/124.80 | % 179.61/124.80 | Instantiating (366) with all_404_0_204 yields: % 179.61/124.80 | (998) (all_404_0_204 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_404_0_204 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 179.61/124.80 | % 179.61/124.80 +-Applying beta-rule and splitting (340), into two cases. % 179.61/124.80 |-Branch one: % 179.61/124.80 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (368) yields: % 179.61/124.80 | (369) all_356_0_135 = 0 % 179.61/124.80 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 179.61/124.80 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 179.61/124.80 | % 179.61/124.80 | Instantiating (371) with all_412_0_205 yields: % 179.61/124.80 | (1003) (all_412_0_205 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_412_0_205 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 179.61/124.80 | % 179.61/124.80 +-Applying beta-rule and splitting (741), into two cases. % 179.61/124.80 |-Branch one: % 179.61/124.80 | (757) all_388_0_177 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (757) yields: % 179.61/124.80 | (758) all_388_0_177 = 0 % 179.61/124.80 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 179.61/124.80 | (760) all_85_1_76 = all_0_6_6 % 179.61/124.80 | % 179.61/124.80 | From (760) and (182) follows: % 179.61/124.80 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 179.61/124.80 | % 179.61/124.80 +-Applying beta-rule and splitting (746), into two cases. % 179.61/124.80 |-Branch one: % 179.61/124.80 | (762) all_396_0_178 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (762) yields: % 179.61/124.80 | (763) all_396_0_178 = 0 % 179.61/124.80 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 179.61/124.80 | (376) all_135_1_90 = all_0_3_3 % 179.61/124.80 | % 179.61/124.80 | From (376) and (231) follows: % 179.61/124.80 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 179.61/124.80 | % 179.61/124.80 +-Applying beta-rule and splitting (998), into two cases. % 179.61/124.80 |-Branch one: % 179.61/124.80 | (1014) all_404_0_204 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 179.61/124.80 | % 179.61/124.80 | Applying alpha-rule on (1014) yields: % 179.61/124.80 | (1015) all_404_0_204 = 0 % 179.61/124.80 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 179.61/124.80 | (388) all_110_1_84 = all_0_6_6 % 179.61/124.80 | % 179.61/124.80 | From (388) and (211) follows: % 179.61/124.80 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 179.61/124.80 | % 179.61/124.80 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.80 | (212) all_85_0_75 = 0 % 180.05/124.80 | % 180.05/124.80 | Equations (212) can reduce 181 to: % 180.05/124.80 | (173) $false % 180.05/124.80 | % 180.05/124.80 |-The branch is then unsatisfiable % 180.05/124.80 |-Branch two: % 180.05/124.80 | (1021) all_404_0_204 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.80 | % 180.05/124.80 | Applying alpha-rule on (1021) yields: % 180.05/124.80 | (1015) all_404_0_204 = 0 % 180.05/124.80 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.80 | % 180.05/124.80 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.80 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.80 | % 180.05/124.80 | From (431) and (210) follows: % 180.05/124.80 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.05/124.80 | % 180.05/124.80 +-Applying beta-rule and splitting (1003), into two cases. % 180.05/124.80 |-Branch one: % 180.05/124.80 | (1026) all_412_0_205 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.80 | % 180.05/124.80 | Applying alpha-rule on (1026) yields: % 180.05/124.80 | (1027) all_412_0_205 = 0 % 180.05/124.80 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.80 | % 180.05/124.80 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.05/124.80 | (393) all_181_1_103 = all_0_3_3 % 180.05/124.80 | % 180.05/124.80 | From (393) and (260) follows: % 180.05/124.80 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 180.05/124.80 | % 180.05/124.80 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 180.05/124.80 | (261) all_135_0_89 = 0 % 180.05/124.80 | % 180.05/124.80 | Equations (261) can reduce 230 to: % 180.05/124.80 | (173) $false % 180.05/124.80 | % 180.05/124.80 |-The branch is then unsatisfiable % 180.05/124.80 |-Branch two: % 180.05/124.80 | (1033) all_412_0_205 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.80 | % 180.05/124.80 | Applying alpha-rule on (1033) yields: % 180.05/124.80 | (1027) all_412_0_205 = 0 % 180.05/124.80 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.80 | % 180.05/124.80 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.05/124.80 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.05/124.80 | % 180.05/124.80 | Instantiating (400) with all_477_0_209 yields: % 180.05/124.80 | (1037) (all_477_0_209 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_477_0_209 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.05/124.80 | % 180.05/124.80 +-Applying beta-rule and splitting (1037), into two cases. % 180.05/124.80 |-Branch one: % 180.05/124.80 | (1038) all_477_0_209 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.80 | % 180.05/124.80 | Applying alpha-rule on (1038) yields: % 180.05/124.80 | (1039) all_477_0_209 = 0 % 180.05/124.80 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.80 | % 180.05/124.80 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.05/124.80 | (417) all_181_1_103 = all_0_6_6 % 180.05/124.80 | % 180.05/124.80 | From (417) and (297) follows: % 180.05/124.80 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.80 | % 180.05/124.80 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.81 | (212) all_85_0_75 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (212) can reduce 181 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (1045) all_477_0_209 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1045) yields: % 180.05/124.81 | (1039) all_477_0_209 = 0 % 180.05/124.81 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.05/124.81 | (424) all_181_1_103 = all_0_9_9 % 180.05/124.81 | % 180.05/124.81 | From (424) and (269) follows: % 180.05/124.81 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.81 | (233) all_110_0_83 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (233) can reduce 209 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (769) all_396_0_178 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (769) yields: % 180.05/124.81 | (763) all_396_0_178 = 0 % 180.05/124.81 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.05/124.81 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.05/124.81 | % 180.05/124.81 | Instantiating (383) with all_455_0_213 yields: % 180.05/124.81 | (1056) (all_455_0_213 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_455_0_213 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.05/124.81 | % 180.05/124.81 +-Applying beta-rule and splitting (998), into two cases. % 180.05/124.81 |-Branch one: % 180.05/124.81 | (1014) all_404_0_204 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1014) yields: % 180.05/124.81 | (1015) all_404_0_204 = 0 % 180.05/124.81 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.81 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.81 | % 180.05/124.81 | From (388) and (211) follows: % 180.05/124.81 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.81 | (212) all_85_0_75 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (212) can reduce 181 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (1021) all_404_0_204 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1021) yields: % 180.05/124.81 | (1015) all_404_0_204 = 0 % 180.05/124.81 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.81 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.81 | % 180.05/124.81 | From (431) and (210) follows: % 180.05/124.81 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.05/124.81 | % 180.05/124.81 +-Applying beta-rule and splitting (1056), into two cases. % 180.05/124.81 |-Branch one: % 180.05/124.81 | (1069) all_455_0_213 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1069) yields: % 180.05/124.81 | (1070) all_455_0_213 = 0 % 180.05/124.81 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.05/124.81 | (405) all_135_1_90 = all_0_6_6 % 180.05/124.81 | % 180.05/124.81 | From (405) and (241) follows: % 180.05/124.81 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.81 | (212) all_85_0_75 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (212) can reduce 181 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (1076) all_455_0_213 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1076) yields: % 180.05/124.81 | (1070) all_455_0_213 = 0 % 180.05/124.81 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.05/124.81 | (412) all_135_1_90 = all_0_9_9 % 180.05/124.81 | % 180.05/124.81 | From (412) and (232) follows: % 180.05/124.81 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.81 | (233) all_110_0_83 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (233) can reduce 209 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (812) all_388_0_177 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (812) yields: % 180.05/124.81 | (758) all_388_0_177 = 0 % 180.05/124.81 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.05/124.81 | (815) all_85_1_76 = all_0_9_9 % 180.05/124.81 | % 180.05/124.81 | From (815) and (182) follows: % 180.05/124.81 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.05/124.81 | % 180.05/124.81 +-Applying beta-rule and splitting (746), into two cases. % 180.05/124.81 |-Branch one: % 180.05/124.81 | (762) all_396_0_178 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (762) yields: % 180.05/124.81 | (763) all_396_0_178 = 0 % 180.05/124.81 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.05/124.81 | (376) all_135_1_90 = all_0_3_3 % 180.05/124.81 | % 180.05/124.81 | From (376) and (231) follows: % 180.05/124.81 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 180.05/124.81 | % 180.05/124.81 +-Applying beta-rule and splitting (998), into two cases. % 180.05/124.81 |-Branch one: % 180.05/124.81 | (1014) all_404_0_204 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1014) yields: % 180.05/124.81 | (1015) all_404_0_204 = 0 % 180.05/124.81 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.81 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.81 | % 180.05/124.81 | From (388) and (210) follows: % 180.05/124.81 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.05/124.81 | % 180.05/124.81 +-Applying beta-rule and splitting (1003), into two cases. % 180.05/124.81 |-Branch one: % 180.05/124.81 | (1026) all_412_0_205 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1026) yields: % 180.05/124.81 | (1027) all_412_0_205 = 0 % 180.05/124.81 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.05/124.81 | (393) all_181_1_103 = all_0_3_3 % 180.05/124.81 | % 180.05/124.81 | From (393) and (260) follows: % 180.05/124.81 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 180.05/124.81 | (261) all_135_0_89 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (261) can reduce 230 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (1033) all_412_0_205 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1033) yields: % 180.05/124.81 | (1027) all_412_0_205 = 0 % 180.05/124.81 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.05/124.81 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.05/124.81 | % 180.05/124.81 | Instantiating (400) with all_477_0_217 yields: % 180.05/124.81 | (1109) (all_477_0_217 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_477_0_217 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.05/124.81 | % 180.05/124.81 +-Applying beta-rule and splitting (1109), into two cases. % 180.05/124.81 |-Branch one: % 180.05/124.81 | (1110) all_477_0_217 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1110) yields: % 180.05/124.81 | (1111) all_477_0_217 = 0 % 180.05/124.81 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.05/124.81 | (417) all_181_1_103 = all_0_6_6 % 180.05/124.81 | % 180.05/124.81 | From (417) and (269) follows: % 180.05/124.81 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.81 | (233) all_110_0_83 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (233) can reduce 209 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (1117) all_477_0_217 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1117) yields: % 180.05/124.81 | (1111) all_477_0_217 = 0 % 180.05/124.81 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.05/124.81 | (424) all_181_1_103 = all_0_9_9 % 180.05/124.81 | % 180.05/124.81 | From (424) and (297) follows: % 180.05/124.81 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.81 | (212) all_85_0_75 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (212) can reduce 181 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (1021) all_404_0_204 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1021) yields: % 180.05/124.81 | (1015) all_404_0_204 = 0 % 180.05/124.81 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.81 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.81 | % 180.05/124.81 | From (431) and (211) follows: % 180.05/124.81 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.81 | (212) all_85_0_75 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (212) can reduce 181 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (769) all_396_0_178 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (769) yields: % 180.05/124.81 | (763) all_396_0_178 = 0 % 180.05/124.81 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.05/124.81 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.05/124.81 | % 180.05/124.81 | Instantiating (383) with all_455_0_221 yields: % 180.05/124.81 | (1135) (all_455_0_221 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_455_0_221 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.05/124.81 | % 180.05/124.81 +-Applying beta-rule and splitting (998), into two cases. % 180.05/124.81 |-Branch one: % 180.05/124.81 | (1014) all_404_0_204 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1014) yields: % 180.05/124.81 | (1015) all_404_0_204 = 0 % 180.05/124.81 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.81 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.81 | % 180.05/124.81 | From (388) and (210) follows: % 180.05/124.81 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.05/124.81 | % 180.05/124.81 +-Applying beta-rule and splitting (1135), into two cases. % 180.05/124.81 |-Branch one: % 180.05/124.81 | (1141) all_455_0_221 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1141) yields: % 180.05/124.81 | (1142) all_455_0_221 = 0 % 180.05/124.81 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.05/124.81 | (405) all_135_1_90 = all_0_6_6 % 180.05/124.81 | % 180.05/124.81 | From (405) and (232) follows: % 180.05/124.81 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.81 | (233) all_110_0_83 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (233) can reduce 209 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (1148) all_455_0_221 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1148) yields: % 180.05/124.81 | (1142) all_455_0_221 = 0 % 180.05/124.81 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.05/124.81 | (412) all_135_1_90 = all_0_9_9 % 180.05/124.81 | % 180.05/124.81 | From (412) and (241) follows: % 180.05/124.81 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.81 | (212) all_85_0_75 = 0 % 180.05/124.81 | % 180.05/124.81 | Equations (212) can reduce 181 to: % 180.05/124.81 | (173) $false % 180.05/124.81 | % 180.05/124.81 |-The branch is then unsatisfiable % 180.05/124.81 |-Branch two: % 180.05/124.81 | (1021) all_404_0_204 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Applying alpha-rule on (1021) yields: % 180.05/124.81 | (1015) all_404_0_204 = 0 % 180.05/124.81 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.81 | % 180.05/124.81 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.82 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.82 | % 180.05/124.82 | From (431) and (211) follows: % 180.05/124.82 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.82 | (212) all_85_0_75 = 0 % 180.05/124.82 | % 180.05/124.82 | Equations (212) can reduce 181 to: % 180.05/124.82 | (173) $false % 180.05/124.82 | % 180.05/124.82 |-The branch is then unsatisfiable % 180.05/124.82 |-Branch two: % 180.05/124.82 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (471) yields: % 180.05/124.82 | (369) all_356_0_135 = 0 % 180.05/124.82 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 180.05/124.82 | (474) all_181_1_103 = all_0_5_5 % 180.05/124.82 | % 180.05/124.82 | From (474) and (259) follows: % 180.05/124.82 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (345), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (476) all_364_0_136 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (476) yields: % 180.05/124.82 | (477) all_364_0_136 = 0 % 180.05/124.82 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 180.05/124.82 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 180.05/124.82 | % 180.05/124.82 | Instantiating (479) with all_423_0_225 yields: % 180.05/124.82 | (1171) (all_423_0_225 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_423_0_225 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (741), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (757) all_388_0_177 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (757) yields: % 180.05/124.82 | (758) all_388_0_177 = 0 % 180.05/124.82 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.05/124.82 | (760) all_85_1_76 = all_0_6_6 % 180.05/124.82 | % 180.05/124.82 | From (760) and (182) follows: % 180.05/124.82 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (746), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (762) all_396_0_178 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (762) yields: % 180.05/124.82 | (763) all_396_0_178 = 0 % 180.05/124.82 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.05/124.82 | (376) all_135_1_90 = all_0_3_3 % 180.05/124.82 | % 180.05/124.82 | From (376) and (231) follows: % 180.05/124.82 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (998), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (1014) all_404_0_204 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1014) yields: % 180.05/124.82 | (1015) all_404_0_204 = 0 % 180.05/124.82 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.82 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.82 | % 180.05/124.82 | From (388) and (211) follows: % 180.05/124.82 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.82 | (212) all_85_0_75 = 0 % 180.05/124.82 | % 180.05/124.82 | Equations (212) can reduce 181 to: % 180.05/124.82 | (173) $false % 180.05/124.82 | % 180.05/124.82 |-The branch is then unsatisfiable % 180.05/124.82 |-Branch two: % 180.05/124.82 | (1021) all_404_0_204 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1021) yields: % 180.05/124.82 | (1015) all_404_0_204 = 0 % 180.05/124.82 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.82 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.82 | % 180.05/124.82 | From (431) and (210) follows: % 180.05/124.82 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (1171), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (1194) all_423_0_225 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1194) yields: % 180.05/124.82 | (1195) all_423_0_225 = 0 % 180.05/124.82 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.05/124.82 | (501) all_226_1_115 = all_0_3_3 % 180.05/124.82 | % 180.05/124.82 | From (501) and (295) follows: % 180.05/124.82 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 180.05/124.82 | (261) all_135_0_89 = 0 % 180.05/124.82 | % 180.05/124.82 | Equations (261) can reduce 230 to: % 180.05/124.82 | (173) $false % 180.05/124.82 | % 180.05/124.82 |-The branch is then unsatisfiable % 180.05/124.82 |-Branch two: % 180.05/124.82 | (1201) all_423_0_225 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1201) yields: % 180.05/124.82 | (1195) all_423_0_225 = 0 % 180.05/124.82 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.05/124.82 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.05/124.82 | % 180.05/124.82 | Instantiating (508) with all_480_0_228 yields: % 180.05/124.82 | (1205) (all_480_0_228 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_480_0_228 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (1205), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (1206) all_480_0_228 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1206) yields: % 180.05/124.82 | (1207) all_480_0_228 = 0 % 180.05/124.82 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.05/124.82 | (525) all_226_1_115 = all_0_6_6 % 180.05/124.82 | % 180.05/124.82 | From (525) and (308) follows: % 180.05/124.82 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.82 | (212) all_85_0_75 = 0 % 180.05/124.82 | % 180.05/124.82 | Equations (212) can reduce 181 to: % 180.05/124.82 | (173) $false % 180.05/124.82 | % 180.05/124.82 |-The branch is then unsatisfiable % 180.05/124.82 |-Branch two: % 180.05/124.82 | (1213) all_480_0_228 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1213) yields: % 180.05/124.82 | (1207) all_480_0_228 = 0 % 180.05/124.82 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.05/124.82 | (532) all_226_1_115 = all_0_9_9 % 180.05/124.82 | % 180.05/124.82 | From (532) and (302) follows: % 180.05/124.82 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.82 | (233) all_110_0_83 = 0 % 180.05/124.82 | % 180.05/124.82 | Equations (233) can reduce 209 to: % 180.05/124.82 | (173) $false % 180.05/124.82 | % 180.05/124.82 |-The branch is then unsatisfiable % 180.05/124.82 |-Branch two: % 180.05/124.82 | (769) all_396_0_178 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (769) yields: % 180.05/124.82 | (763) all_396_0_178 = 0 % 180.05/124.82 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.05/124.82 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.05/124.82 | % 180.05/124.82 | Instantiating (383) with all_458_0_231 yields: % 180.05/124.82 | (1224) (all_458_0_231 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_458_0_231 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (998), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (1014) all_404_0_204 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1014) yields: % 180.05/124.82 | (1015) all_404_0_204 = 0 % 180.05/124.82 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.82 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.82 | % 180.05/124.82 | From (388) and (211) follows: % 180.05/124.82 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.82 | (212) all_85_0_75 = 0 % 180.05/124.82 | % 180.05/124.82 | Equations (212) can reduce 181 to: % 180.05/124.82 | (173) $false % 180.05/124.82 | % 180.05/124.82 |-The branch is then unsatisfiable % 180.05/124.82 |-Branch two: % 180.05/124.82 | (1021) all_404_0_204 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1021) yields: % 180.05/124.82 | (1015) all_404_0_204 = 0 % 180.05/124.82 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.82 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.82 | % 180.05/124.82 | From (431) and (210) follows: % 180.05/124.82 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (1224), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (1237) all_458_0_231 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1237) yields: % 180.05/124.82 | (1238) all_458_0_231 = 0 % 180.05/124.82 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.05/124.82 | (405) all_135_1_90 = all_0_6_6 % 180.05/124.82 | % 180.05/124.82 | From (405) and (241) follows: % 180.05/124.82 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.82 | (212) all_85_0_75 = 0 % 180.05/124.82 | % 180.05/124.82 | Equations (212) can reduce 181 to: % 180.05/124.82 | (173) $false % 180.05/124.82 | % 180.05/124.82 |-The branch is then unsatisfiable % 180.05/124.82 |-Branch two: % 180.05/124.82 | (1244) all_458_0_231 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1244) yields: % 180.05/124.82 | (1238) all_458_0_231 = 0 % 180.05/124.82 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.05/124.82 | (412) all_135_1_90 = all_0_9_9 % 180.05/124.82 | % 180.05/124.82 | From (412) and (232) follows: % 180.05/124.82 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.82 | (233) all_110_0_83 = 0 % 180.05/124.82 | % 180.05/124.82 | Equations (233) can reduce 209 to: % 180.05/124.82 | (173) $false % 180.05/124.82 | % 180.05/124.82 |-The branch is then unsatisfiable % 180.05/124.82 |-Branch two: % 180.05/124.82 | (812) all_388_0_177 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (812) yields: % 180.05/124.82 | (758) all_388_0_177 = 0 % 180.05/124.82 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.05/124.82 | (815) all_85_1_76 = all_0_9_9 % 180.05/124.82 | % 180.05/124.82 | From (815) and (182) follows: % 180.05/124.82 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (746), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (762) all_396_0_178 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (762) yields: % 180.05/124.82 | (763) all_396_0_178 = 0 % 180.05/124.82 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.05/124.82 | (376) all_135_1_90 = all_0_3_3 % 180.05/124.82 | % 180.05/124.82 | From (376) and (231) follows: % 180.05/124.82 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (998), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (1014) all_404_0_204 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1014) yields: % 180.05/124.82 | (1015) all_404_0_204 = 0 % 180.05/124.82 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.82 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.82 | % 180.05/124.82 | From (388) and (210) follows: % 180.05/124.82 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.05/124.82 | % 180.05/124.82 +-Applying beta-rule and splitting (1171), into two cases. % 180.05/124.82 |-Branch one: % 180.05/124.82 | (1194) all_423_0_225 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.82 | % 180.05/124.82 | Applying alpha-rule on (1194) yields: % 180.05/124.82 | (1195) all_423_0_225 = 0 % 180.05/124.82 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.82 | % 180.05/124.82 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.05/124.82 | (501) all_226_1_115 = all_0_3_3 % 180.05/124.82 | % 180.05/124.82 | From (501) and (295) follows: % 180.05/124.82 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 180.05/124.82 | % 180.05/124.83 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 180.05/124.83 | (261) all_135_0_89 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (261) can reduce 230 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (1201) all_423_0_225 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1201) yields: % 180.05/124.83 | (1195) all_423_0_225 = 0 % 180.05/124.83 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.05/124.83 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.05/124.83 | % 180.05/124.83 | Instantiating (508) with all_480_0_234 yields: % 180.05/124.83 | (1277) (all_480_0_234 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_480_0_234 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.05/124.83 | % 180.05/124.83 +-Applying beta-rule and splitting (1277), into two cases. % 180.05/124.83 |-Branch one: % 180.05/124.83 | (1278) all_480_0_234 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1278) yields: % 180.05/124.83 | (1279) all_480_0_234 = 0 % 180.05/124.83 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.05/124.83 | (525) all_226_1_115 = all_0_6_6 % 180.05/124.83 | % 180.05/124.83 | From (525) and (302) follows: % 180.05/124.83 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.83 | (233) all_110_0_83 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (233) can reduce 209 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (1285) all_480_0_234 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1285) yields: % 180.05/124.83 | (1279) all_480_0_234 = 0 % 180.05/124.83 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.05/124.83 | (532) all_226_1_115 = all_0_9_9 % 180.05/124.83 | % 180.05/124.83 | From (532) and (308) follows: % 180.05/124.83 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.83 | (212) all_85_0_75 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (212) can reduce 181 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (1021) all_404_0_204 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1021) yields: % 180.05/124.83 | (1015) all_404_0_204 = 0 % 180.05/124.83 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.83 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.83 | % 180.05/124.83 | From (431) and (211) follows: % 180.05/124.83 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.83 | (212) all_85_0_75 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (212) can reduce 181 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (769) all_396_0_178 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (769) yields: % 180.05/124.83 | (763) all_396_0_178 = 0 % 180.05/124.83 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.05/124.83 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.05/124.83 | % 180.05/124.83 | Instantiating (383) with all_458_0_237 yields: % 180.05/124.83 | (1303) (all_458_0_237 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_458_0_237 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.05/124.83 | % 180.05/124.83 +-Applying beta-rule and splitting (998), into two cases. % 180.05/124.83 |-Branch one: % 180.05/124.83 | (1014) all_404_0_204 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1014) yields: % 180.05/124.83 | (1015) all_404_0_204 = 0 % 180.05/124.83 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.83 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.83 | % 180.05/124.83 | From (388) and (210) follows: % 180.05/124.83 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.05/124.83 | % 180.05/124.83 +-Applying beta-rule and splitting (1303), into two cases. % 180.05/124.83 |-Branch one: % 180.05/124.83 | (1309) all_458_0_237 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1309) yields: % 180.05/124.83 | (1310) all_458_0_237 = 0 % 180.05/124.83 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.05/124.83 | (405) all_135_1_90 = all_0_6_6 % 180.05/124.83 | % 180.05/124.83 | From (405) and (232) follows: % 180.05/124.83 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.83 | (233) all_110_0_83 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (233) can reduce 209 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (1316) all_458_0_237 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1316) yields: % 180.05/124.83 | (1310) all_458_0_237 = 0 % 180.05/124.83 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.05/124.83 | (412) all_135_1_90 = all_0_9_9 % 180.05/124.83 | % 180.05/124.83 | From (412) and (241) follows: % 180.05/124.83 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.83 | (212) all_85_0_75 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (212) can reduce 181 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (1021) all_404_0_204 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1021) yields: % 180.05/124.83 | (1015) all_404_0_204 = 0 % 180.05/124.83 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.83 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.83 | % 180.05/124.83 | From (431) and (211) follows: % 180.05/124.83 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.83 | (212) all_85_0_75 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (212) can reduce 181 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (579) all_364_0_136 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (579) yields: % 180.05/124.83 | (477) all_364_0_136 = 0 % 180.05/124.83 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 180.05/124.83 | (582) all_226_1_115 = all_0_5_5 % 180.05/124.83 | % 180.05/124.83 | From (582) and (287) follows: % 180.05/124.83 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 180.05/124.83 | (288) all_181_0_102 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (288) can reduce 258 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (586) yields: % 180.05/124.83 | (352) all_340_0_133 = 0 % 180.05/124.83 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 180.05/124.83 | (589) all_135_1_90 = all_0_5_5 % 180.05/124.83 | % 180.05/124.83 | From (589) and (231) follows: % 180.05/124.83 | (590) mem(all_0_5_5, all_99_1_80) = all_135_0_89 % 180.05/124.83 | % 180.05/124.83 +-Applying beta-rule and splitting (335), into two cases. % 180.05/124.83 |-Branch one: % 180.05/124.83 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (356) yields: % 180.05/124.83 | (357) all_348_0_134 = 0 % 180.05/124.83 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 180.05/124.83 | (359) all_110_1_84 = all_0_3_3 % 180.05/124.83 | % 180.05/124.83 | From (359) and (210) follows: % 180.05/124.83 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 180.05/124.83 | % 180.05/124.83 +-Applying beta-rule and splitting (340), into two cases. % 180.05/124.83 |-Branch one: % 180.05/124.83 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (368) yields: % 180.05/124.83 | (369) all_356_0_135 = 0 % 180.05/124.83 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 180.05/124.83 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 180.05/124.83 | % 180.05/124.83 | Instantiating (371) with all_418_0_240 yields: % 180.05/124.83 | (1351) (all_418_0_240 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_418_0_240 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 180.05/124.83 | % 180.05/124.83 +-Applying beta-rule and splitting (345), into two cases. % 180.05/124.83 |-Branch one: % 180.05/124.83 | (476) all_364_0_136 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (476) yields: % 180.05/124.83 | (477) all_364_0_136 = 0 % 180.05/124.83 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 180.05/124.83 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 180.05/124.83 | % 180.05/124.83 | Instantiating (479) with all_426_0_241 yields: % 180.05/124.83 | (1356) (all_426_0_241 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_426_0_241 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 180.05/124.83 | % 180.05/124.83 +-Applying beta-rule and splitting (741), into two cases. % 180.05/124.83 |-Branch one: % 180.05/124.83 | (757) all_388_0_177 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (757) yields: % 180.05/124.83 | (758) all_388_0_177 = 0 % 180.05/124.83 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.05/124.83 | (760) all_85_1_76 = all_0_6_6 % 180.05/124.83 | % 180.05/124.83 | From (760) and (182) follows: % 180.05/124.83 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.05/124.83 | % 180.05/124.83 +-Applying beta-rule and splitting (1351), into two cases. % 180.05/124.83 |-Branch one: % 180.05/124.83 | (1362) all_418_0_240 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1362) yields: % 180.05/124.83 | (1363) all_418_0_240 = 0 % 180.05/124.83 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.05/124.83 | (393) all_181_1_103 = all_0_3_3 % 180.05/124.83 | % 180.05/124.83 | From (393) and (269) follows: % 180.05/124.83 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.05/124.83 | (233) all_110_0_83 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (233) can reduce 209 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (1369) all_418_0_240 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1369) yields: % 180.05/124.83 | (1363) all_418_0_240 = 0 % 180.05/124.83 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.05/124.83 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.05/124.83 | % 180.05/124.83 | Instantiating (400) with all_461_0_244 yields: % 180.05/124.83 | (1373) (all_461_0_244 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_244 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.05/124.83 | % 180.05/124.83 +-Applying beta-rule and splitting (1356), into two cases. % 180.05/124.83 |-Branch one: % 180.05/124.83 | (1374) all_426_0_241 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1374) yields: % 180.05/124.83 | (1375) all_426_0_241 = 0 % 180.05/124.83 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.05/124.83 | (501) all_226_1_115 = all_0_3_3 % 180.05/124.83 | % 180.05/124.83 | From (501) and (302) follows: % 180.05/124.83 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.05/124.83 | (233) all_110_0_83 = 0 % 180.05/124.83 | % 180.05/124.83 | Equations (233) can reduce 209 to: % 180.05/124.83 | (173) $false % 180.05/124.83 | % 180.05/124.83 |-The branch is then unsatisfiable % 180.05/124.83 |-Branch two: % 180.05/124.83 | (1381) all_426_0_241 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.83 | % 180.05/124.83 | Applying alpha-rule on (1381) yields: % 180.05/124.83 | (1375) all_426_0_241 = 0 % 180.05/124.83 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.83 | % 180.05/124.83 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.05/124.84 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.05/124.84 | % 180.05/124.84 | Instantiating (508) with all_469_0_245 yields: % 180.05/124.84 | (1385) (all_469_0_245 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_245 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.05/124.84 | % 180.05/124.84 +-Applying beta-rule and splitting (1373), into two cases. % 180.05/124.84 |-Branch one: % 180.05/124.84 | (1386) all_461_0_244 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1386) yields: % 180.05/124.84 | (1387) all_461_0_244 = 0 % 180.05/124.84 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.05/124.84 | (417) all_181_1_103 = all_0_6_6 % 180.05/124.84 | % 180.05/124.84 | From (417) and (297) follows: % 180.05/124.84 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.84 | (212) all_85_0_75 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (212) can reduce 181 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (1393) all_461_0_244 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1393) yields: % 180.05/124.84 | (1387) all_461_0_244 = 0 % 180.05/124.84 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.05/124.84 | (424) all_181_1_103 = all_0_9_9 % 180.05/124.84 | % 180.05/124.84 | From (424) and (259) follows: % 180.05/124.84 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 180.05/124.84 | % 180.05/124.84 +-Applying beta-rule and splitting (1385), into two cases. % 180.05/124.84 |-Branch one: % 180.05/124.84 | (1398) all_469_0_245 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1398) yields: % 180.05/124.84 | (1399) all_469_0_245 = 0 % 180.05/124.84 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.05/124.84 | (525) all_226_1_115 = all_0_6_6 % 180.05/124.84 | % 180.05/124.84 | From (525) and (308) follows: % 180.05/124.84 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.84 | (212) all_85_0_75 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (212) can reduce 181 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (1405) all_469_0_245 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1405) yields: % 180.05/124.84 | (1399) all_469_0_245 = 0 % 180.05/124.84 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.05/124.84 | (532) all_226_1_115 = all_0_9_9 % 180.05/124.84 | % 180.05/124.84 | From (532) and (287) follows: % 180.05/124.84 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 180.05/124.84 | (288) all_181_0_102 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (288) can reduce 258 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (812) all_388_0_177 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (812) yields: % 180.05/124.84 | (758) all_388_0_177 = 0 % 180.05/124.84 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.05/124.84 | (815) all_85_1_76 = all_0_9_9 % 180.05/124.84 | % 180.05/124.84 | From (815) and (182) follows: % 180.05/124.84 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.05/124.84 | % 180.05/124.84 +-Applying beta-rule and splitting (1351), into two cases. % 180.05/124.84 |-Branch one: % 180.05/124.84 | (1362) all_418_0_240 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1362) yields: % 180.05/124.84 | (1363) all_418_0_240 = 0 % 180.05/124.84 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.05/124.84 | (393) all_181_1_103 = all_0_3_3 % 180.05/124.84 | % 180.05/124.84 | From (393) and (269) follows: % 180.05/124.84 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.05/124.84 | (233) all_110_0_83 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (233) can reduce 209 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (1369) all_418_0_240 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1369) yields: % 180.05/124.84 | (1363) all_418_0_240 = 0 % 180.05/124.84 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.05/124.84 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.05/124.84 | % 180.05/124.84 | Instantiating (400) with all_461_0_248 yields: % 180.05/124.84 | (1428) (all_461_0_248 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_248 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.05/124.84 | % 180.05/124.84 +-Applying beta-rule and splitting (1356), into two cases. % 180.05/124.84 |-Branch one: % 180.05/124.84 | (1374) all_426_0_241 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1374) yields: % 180.05/124.84 | (1375) all_426_0_241 = 0 % 180.05/124.84 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.05/124.84 | (501) all_226_1_115 = all_0_3_3 % 180.05/124.84 | % 180.05/124.84 | From (501) and (302) follows: % 180.05/124.84 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.05/124.84 | (233) all_110_0_83 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (233) can reduce 209 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (1381) all_426_0_241 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1381) yields: % 180.05/124.84 | (1375) all_426_0_241 = 0 % 180.05/124.84 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.05/124.84 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.05/124.84 | % 180.05/124.84 | Instantiating (508) with all_469_0_249 yields: % 180.05/124.84 | (1440) (all_469_0_249 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_249 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.05/124.84 | % 180.05/124.84 +-Applying beta-rule and splitting (1428), into two cases. % 180.05/124.84 |-Branch one: % 180.05/124.84 | (1441) all_461_0_248 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1441) yields: % 180.05/124.84 | (1442) all_461_0_248 = 0 % 180.05/124.84 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.05/124.84 | (417) all_181_1_103 = all_0_6_6 % 180.05/124.84 | % 180.05/124.84 | From (417) and (259) follows: % 180.05/124.84 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 180.05/124.84 | % 180.05/124.84 +-Applying beta-rule and splitting (1440), into two cases. % 180.05/124.84 |-Branch one: % 180.05/124.84 | (1446) all_469_0_249 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1446) yields: % 180.05/124.84 | (1447) all_469_0_249 = 0 % 180.05/124.84 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.05/124.84 | (525) all_226_1_115 = all_0_6_6 % 180.05/124.84 | % 180.05/124.84 | From (525) and (287) follows: % 180.05/124.84 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 180.05/124.84 | (288) all_181_0_102 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (288) can reduce 258 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (1453) all_469_0_249 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1453) yields: % 180.05/124.84 | (1447) all_469_0_249 = 0 % 180.05/124.84 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.05/124.84 | (532) all_226_1_115 = all_0_9_9 % 180.05/124.84 | % 180.05/124.84 | From (532) and (308) follows: % 180.05/124.84 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.84 | (212) all_85_0_75 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (212) can reduce 181 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (1460) all_461_0_248 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (1460) yields: % 180.05/124.84 | (1442) all_461_0_248 = 0 % 180.05/124.84 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.05/124.84 | (424) all_181_1_103 = all_0_9_9 % 180.05/124.84 | % 180.05/124.84 | From (424) and (297) follows: % 180.05/124.84 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.84 | (212) all_85_0_75 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (212) can reduce 181 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (579) all_364_0_136 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (579) yields: % 180.05/124.84 | (477) all_364_0_136 = 0 % 180.05/124.84 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 180.05/124.84 | (582) all_226_1_115 = all_0_5_5 % 180.05/124.84 | % 180.05/124.84 | From (582) and (295) follows: % 180.05/124.84 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.05/124.84 | (261) all_135_0_89 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (261) can reduce 230 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (471) yields: % 180.05/124.84 | (369) all_356_0_135 = 0 % 180.05/124.84 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 180.05/124.84 | (474) all_181_1_103 = all_0_5_5 % 180.05/124.84 | % 180.05/124.84 | From (474) and (260) follows: % 180.05/124.84 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.05/124.84 | (261) all_135_0_89 = 0 % 180.05/124.84 | % 180.05/124.84 | Equations (261) can reduce 230 to: % 180.05/124.84 | (173) $false % 180.05/124.84 | % 180.05/124.84 |-The branch is then unsatisfiable % 180.05/124.84 |-Branch two: % 180.05/124.84 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (363) yields: % 180.05/124.84 | (357) all_348_0_134 = 0 % 180.05/124.84 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 180.05/124.84 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 180.05/124.84 | % 180.05/124.84 | Instantiating (366) with all_407_0_252 yields: % 180.05/124.84 | (1485) (all_407_0_252 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_407_0_252 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 180.05/124.84 | % 180.05/124.84 +-Applying beta-rule and splitting (340), into two cases. % 180.05/124.84 |-Branch one: % 180.05/124.84 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (368) yields: % 180.05/124.84 | (369) all_356_0_135 = 0 % 180.05/124.84 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 180.05/124.84 | % 180.05/124.84 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 180.05/124.84 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 180.05/124.84 | % 180.05/124.84 | Instantiating (371) with all_415_0_253 yields: % 180.05/124.84 | (1490) (all_415_0_253 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_415_0_253 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 180.05/124.84 | % 180.05/124.84 +-Applying beta-rule and splitting (345), into two cases. % 180.05/124.84 |-Branch one: % 180.05/124.84 | (476) all_364_0_136 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 180.05/124.84 | % 180.05/124.84 | Applying alpha-rule on (476) yields: % 180.05/124.84 | (477) all_364_0_136 = 0 % 180.05/124.84 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 180.05/124.84 | % 180.05/124.85 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 180.05/124.85 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 180.05/124.85 | % 180.05/124.85 | Instantiating (479) with all_423_0_254 yields: % 180.05/124.85 | (1495) (all_423_0_254 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_423_0_254 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (741), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (757) all_388_0_177 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (757) yields: % 180.05/124.85 | (758) all_388_0_177 = 0 % 180.05/124.85 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.05/124.85 | (760) all_85_1_76 = all_0_6_6 % 180.05/124.85 | % 180.05/124.85 | From (760) and (182) follows: % 180.05/124.85 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (1485), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (1501) all_407_0_252 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1501) yields: % 180.05/124.85 | (1502) all_407_0_252 = 0 % 180.05/124.85 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.85 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.85 | % 180.05/124.85 | From (388) and (211) follows: % 180.05/124.85 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.85 | (212) all_85_0_75 = 0 % 180.05/124.85 | % 180.05/124.85 | Equations (212) can reduce 181 to: % 180.05/124.85 | (173) $false % 180.05/124.85 | % 180.05/124.85 |-The branch is then unsatisfiable % 180.05/124.85 |-Branch two: % 180.05/124.85 | (1508) all_407_0_252 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1508) yields: % 180.05/124.85 | (1502) all_407_0_252 = 0 % 180.05/124.85 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.85 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.85 | % 180.05/124.85 | From (431) and (210) follows: % 180.05/124.85 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (1490), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (1513) all_415_0_253 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1513) yields: % 180.05/124.85 | (1514) all_415_0_253 = 0 % 180.05/124.85 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.05/124.85 | (393) all_181_1_103 = all_0_3_3 % 180.05/124.85 | % 180.05/124.85 | From (393) and (259) follows: % 180.05/124.85 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (1495), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (1518) all_423_0_254 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1518) yields: % 180.05/124.85 | (1519) all_423_0_254 = 0 % 180.05/124.85 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.05/124.85 | (501) all_226_1_115 = all_0_3_3 % 180.05/124.85 | % 180.05/124.85 | From (501) and (287) follows: % 180.05/124.85 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 180.05/124.85 | (288) all_181_0_102 = 0 % 180.05/124.85 | % 180.05/124.85 | Equations (288) can reduce 258 to: % 180.05/124.85 | (173) $false % 180.05/124.85 | % 180.05/124.85 |-The branch is then unsatisfiable % 180.05/124.85 |-Branch two: % 180.05/124.85 | (1525) all_423_0_254 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1525) yields: % 180.05/124.85 | (1519) all_423_0_254 = 0 % 180.05/124.85 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.05/124.85 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.05/124.85 | % 180.05/124.85 | Instantiating (508) with all_480_0_257 yields: % 180.05/124.85 | (1529) (all_480_0_257 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_480_0_257 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (1529), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (1530) all_480_0_257 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1530) yields: % 180.05/124.85 | (1531) all_480_0_257 = 0 % 180.05/124.85 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.05/124.85 | (525) all_226_1_115 = all_0_6_6 % 180.05/124.85 | % 180.05/124.85 | From (525) and (308) follows: % 180.05/124.85 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.85 | (212) all_85_0_75 = 0 % 180.05/124.85 | % 180.05/124.85 | Equations (212) can reduce 181 to: % 180.05/124.85 | (173) $false % 180.05/124.85 | % 180.05/124.85 |-The branch is then unsatisfiable % 180.05/124.85 |-Branch two: % 180.05/124.85 | (1537) all_480_0_257 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1537) yields: % 180.05/124.85 | (1531) all_480_0_257 = 0 % 180.05/124.85 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.05/124.85 | (532) all_226_1_115 = all_0_9_9 % 180.05/124.85 | % 180.05/124.85 | From (532) and (302) follows: % 180.05/124.85 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.85 | (233) all_110_0_83 = 0 % 180.05/124.85 | % 180.05/124.85 | Equations (233) can reduce 209 to: % 180.05/124.85 | (173) $false % 180.05/124.85 | % 180.05/124.85 |-The branch is then unsatisfiable % 180.05/124.85 |-Branch two: % 180.05/124.85 | (1544) all_415_0_253 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1544) yields: % 180.05/124.85 | (1514) all_415_0_253 = 0 % 180.05/124.85 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.05/124.85 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.05/124.85 | % 180.05/124.85 | Instantiating (400) with all_469_0_260 yields: % 180.05/124.85 | (1548) (all_469_0_260 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_469_0_260 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (1548), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (1549) all_469_0_260 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1549) yields: % 180.05/124.85 | (1550) all_469_0_260 = 0 % 180.05/124.85 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.05/124.85 | (417) all_181_1_103 = all_0_6_6 % 180.05/124.85 | % 180.05/124.85 | From (417) and (297) follows: % 180.05/124.85 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.05/124.85 | (212) all_85_0_75 = 0 % 180.05/124.85 | % 180.05/124.85 | Equations (212) can reduce 181 to: % 180.05/124.85 | (173) $false % 180.05/124.85 | % 180.05/124.85 |-The branch is then unsatisfiable % 180.05/124.85 |-Branch two: % 180.05/124.85 | (1556) all_469_0_260 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1556) yields: % 180.05/124.85 | (1550) all_469_0_260 = 0 % 180.05/124.85 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.05/124.85 | (424) all_181_1_103 = all_0_9_9 % 180.05/124.85 | % 180.05/124.85 | From (424) and (269) follows: % 180.05/124.85 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.85 | (233) all_110_0_83 = 0 % 180.05/124.85 | % 180.05/124.85 | Equations (233) can reduce 209 to: % 180.05/124.85 | (173) $false % 180.05/124.85 | % 180.05/124.85 |-The branch is then unsatisfiable % 180.05/124.85 |-Branch two: % 180.05/124.85 | (812) all_388_0_177 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (812) yields: % 180.05/124.85 | (758) all_388_0_177 = 0 % 180.05/124.85 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.05/124.85 | (815) all_85_1_76 = all_0_9_9 % 180.05/124.85 | % 180.05/124.85 | From (815) and (182) follows: % 180.05/124.85 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (1485), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (1501) all_407_0_252 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1501) yields: % 180.05/124.85 | (1502) all_407_0_252 = 0 % 180.05/124.85 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.85 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.85 | % 180.05/124.85 | From (388) and (210) follows: % 180.05/124.85 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (1490), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (1513) all_415_0_253 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1513) yields: % 180.05/124.85 | (1514) all_415_0_253 = 0 % 180.05/124.85 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.05/124.85 | (393) all_181_1_103 = all_0_3_3 % 180.05/124.85 | % 180.05/124.85 | From (393) and (259) follows: % 180.05/124.85 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (1495), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (1518) all_423_0_254 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1518) yields: % 180.05/124.85 | (1519) all_423_0_254 = 0 % 180.05/124.85 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.05/124.85 | (501) all_226_1_115 = all_0_3_3 % 180.05/124.85 | % 180.05/124.85 | From (501) and (287) follows: % 180.05/124.85 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 180.05/124.85 | (288) all_181_0_102 = 0 % 180.05/124.85 | % 180.05/124.85 | Equations (288) can reduce 258 to: % 180.05/124.85 | (173) $false % 180.05/124.85 | % 180.05/124.85 |-The branch is then unsatisfiable % 180.05/124.85 |-Branch two: % 180.05/124.85 | (1525) all_423_0_254 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1525) yields: % 180.05/124.85 | (1519) all_423_0_254 = 0 % 180.05/124.85 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.05/124.85 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.05/124.85 | % 180.05/124.85 | Instantiating (508) with all_480_0_263 yields: % 180.05/124.85 | (1589) (all_480_0_263 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_480_0_263 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.05/124.85 | % 180.05/124.85 +-Applying beta-rule and splitting (1589), into two cases. % 180.05/124.85 |-Branch one: % 180.05/124.85 | (1590) all_480_0_263 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Applying alpha-rule on (1590) yields: % 180.05/124.85 | (1591) all_480_0_263 = 0 % 180.05/124.85 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.05/124.85 | % 180.05/124.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.05/124.85 | (525) all_226_1_115 = all_0_6_6 % 180.05/124.86 | % 180.05/124.86 | From (525) and (302) follows: % 180.05/124.86 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.86 | (233) all_110_0_83 = 0 % 180.05/124.86 | % 180.05/124.86 | Equations (233) can reduce 209 to: % 180.05/124.86 | (173) $false % 180.05/124.86 | % 180.05/124.86 |-The branch is then unsatisfiable % 180.05/124.86 |-Branch two: % 180.05/124.86 | (1597) all_480_0_263 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1597) yields: % 180.05/124.86 | (1591) all_480_0_263 = 0 % 180.05/124.86 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.05/124.86 | (532) all_226_1_115 = all_0_9_9 % 180.05/124.86 | % 180.05/124.86 | From (532) and (308) follows: % 180.05/124.86 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.86 | (212) all_85_0_75 = 0 % 180.05/124.86 | % 180.05/124.86 | Equations (212) can reduce 181 to: % 180.05/124.86 | (173) $false % 180.05/124.86 | % 180.05/124.86 |-The branch is then unsatisfiable % 180.05/124.86 |-Branch two: % 180.05/124.86 | (1544) all_415_0_253 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1544) yields: % 180.05/124.86 | (1514) all_415_0_253 = 0 % 180.05/124.86 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.05/124.86 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.05/124.86 | % 180.05/124.86 | Instantiating (400) with all_469_0_266 yields: % 180.05/124.86 | (1608) (all_469_0_266 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_469_0_266 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.05/124.86 | % 180.05/124.86 +-Applying beta-rule and splitting (1608), into two cases. % 180.05/124.86 |-Branch one: % 180.05/124.86 | (1609) all_469_0_266 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1609) yields: % 180.05/124.86 | (1610) all_469_0_266 = 0 % 180.05/124.86 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.05/124.86 | (417) all_181_1_103 = all_0_6_6 % 180.05/124.86 | % 180.05/124.86 | From (417) and (269) follows: % 180.05/124.86 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.86 | (233) all_110_0_83 = 0 % 180.05/124.86 | % 180.05/124.86 | Equations (233) can reduce 209 to: % 180.05/124.86 | (173) $false % 180.05/124.86 | % 180.05/124.86 |-The branch is then unsatisfiable % 180.05/124.86 |-Branch two: % 180.05/124.86 | (1616) all_469_0_266 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1616) yields: % 180.05/124.86 | (1610) all_469_0_266 = 0 % 180.05/124.86 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.05/124.86 | (424) all_181_1_103 = all_0_9_9 % 180.05/124.86 | % 180.05/124.86 | From (424) and (297) follows: % 180.05/124.86 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.86 | (212) all_85_0_75 = 0 % 180.05/124.86 | % 180.05/124.86 | Equations (212) can reduce 181 to: % 180.05/124.86 | (173) $false % 180.05/124.86 | % 180.05/124.86 |-The branch is then unsatisfiable % 180.05/124.86 |-Branch two: % 180.05/124.86 | (1508) all_407_0_252 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1508) yields: % 180.05/124.86 | (1502) all_407_0_252 = 0 % 180.05/124.86 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.86 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.86 | % 180.05/124.86 | From (431) and (211) follows: % 180.05/124.86 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.05/124.86 | (212) all_85_0_75 = 0 % 180.05/124.86 | % 180.05/124.86 | Equations (212) can reduce 181 to: % 180.05/124.86 | (173) $false % 180.05/124.86 | % 180.05/124.86 |-The branch is then unsatisfiable % 180.05/124.86 |-Branch two: % 180.05/124.86 | (579) all_364_0_136 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (579) yields: % 180.05/124.86 | (477) all_364_0_136 = 0 % 180.05/124.86 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 180.05/124.86 | (582) all_226_1_115 = all_0_5_5 % 180.05/124.86 | % 180.05/124.86 | From (582) and (295) follows: % 180.05/124.86 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.05/124.86 | (261) all_135_0_89 = 0 % 180.05/124.86 | % 180.05/124.86 | Equations (261) can reduce 230 to: % 180.05/124.86 | (173) $false % 180.05/124.86 | % 180.05/124.86 |-The branch is then unsatisfiable % 180.05/124.86 |-Branch two: % 180.05/124.86 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (471) yields: % 180.05/124.86 | (369) all_356_0_135 = 0 % 180.05/124.86 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 180.05/124.86 | (474) all_181_1_103 = all_0_5_5 % 180.05/124.86 | % 180.05/124.86 | From (474) and (260) follows: % 180.05/124.86 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.05/124.86 | (261) all_135_0_89 = 0 % 180.05/124.86 | % 180.05/124.86 | Equations (261) can reduce 230 to: % 180.05/124.86 | (173) $false % 180.05/124.86 | % 180.05/124.86 |-The branch is then unsatisfiable % 180.05/124.86 |-Branch two: % 180.05/124.86 | (1644) all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1644) yields: % 180.05/124.86 | (342) all_311_0_129 = 0 % 180.05/124.86 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 180.05/124.86 | (1647) all_226_1_115 = all_0_8_8 % 180.05/124.86 | % 180.05/124.86 | From (1647) and (286) follows: % 180.05/124.86 | (1648) mem(all_0_8_8, all_165_1_98) = all_226_0_114 % 180.05/124.86 | % 180.05/124.86 +-Applying beta-rule and splitting (320), into two cases. % 180.05/124.86 |-Branch one: % 180.05/124.86 | (1649) all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1649) yields: % 180.05/124.86 | (1650) all_318_0_130 = 0 % 180.05/124.86 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 180.05/124.86 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 180.05/124.86 | % 180.05/124.86 | Instantiating (1652) with all_375_0_269 yields: % 180.05/124.86 | (1653) (all_375_0_269 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_375_0_269 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 180.05/124.86 | % 180.05/124.86 +-Applying beta-rule and splitting (325), into two cases. % 180.05/124.86 |-Branch one: % 180.05/124.86 | (346) all_332_0_132 = 0 & mem(all_85_1_76, all_72_0_70) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (346) yields: % 180.05/124.86 | (347) all_332_0_132 = 0 % 180.05/124.86 | (348) mem(all_85_1_76, all_72_0_70) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_85_1_76, all_72_0_70) = 0, yields: % 180.05/124.86 | (349) all_85_1_76 = all_0_3_3 % 180.05/124.86 | % 180.05/124.86 | From (349) and (182) follows: % 180.05/124.86 | (350) mem(all_0_3_3, all_57_1_65) = all_85_0_75 % 180.05/124.86 | % 180.05/124.86 +-Applying beta-rule and splitting (330), into two cases. % 180.05/124.86 |-Branch one: % 180.05/124.86 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (351) yields: % 180.05/124.86 | (352) all_340_0_133 = 0 % 180.05/124.86 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 180.05/124.86 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 180.05/124.86 | % 180.05/124.86 | Instantiating (354) with all_402_0_271 yields: % 180.05/124.86 | (1663) (all_402_0_271 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_402_0_271 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 180.05/124.86 | % 180.05/124.86 +-Applying beta-rule and splitting (335), into two cases. % 180.05/124.86 |-Branch one: % 180.05/124.86 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (356) yields: % 180.05/124.86 | (357) all_348_0_134 = 0 % 180.05/124.86 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 180.05/124.86 | (359) all_110_1_84 = all_0_3_3 % 180.05/124.86 | % 180.05/124.86 | From (359) and (211) follows: % 180.05/124.86 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.86 | (212) all_85_0_75 = 0 % 180.05/124.86 | % 180.05/124.86 | Equations (212) can reduce 181 to: % 180.05/124.86 | (173) $false % 180.05/124.86 | % 180.05/124.86 |-The branch is then unsatisfiable % 180.05/124.86 |-Branch two: % 180.05/124.86 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (363) yields: % 180.05/124.86 | (357) all_348_0_134 = 0 % 180.05/124.86 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 180.05/124.86 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 180.05/124.86 | % 180.05/124.86 | Instantiating (366) with all_410_0_272 yields: % 180.05/124.86 | (1675) (all_410_0_272 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_410_0_272 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 180.05/124.86 | % 180.05/124.86 +-Applying beta-rule and splitting (340), into two cases. % 180.05/124.86 |-Branch one: % 180.05/124.86 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (368) yields: % 180.05/124.86 | (369) all_356_0_135 = 0 % 180.05/124.86 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 180.05/124.86 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 180.05/124.86 | % 180.05/124.86 | Instantiating (371) with all_418_0_273 yields: % 180.05/124.86 | (1680) (all_418_0_273 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_418_0_273 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 180.05/124.86 | % 180.05/124.86 +-Applying beta-rule and splitting (1663), into two cases. % 180.05/124.86 |-Branch one: % 180.05/124.86 | (1681) all_402_0_271 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1681) yields: % 180.05/124.86 | (1682) all_402_0_271 = 0 % 180.05/124.86 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.05/124.86 | (376) all_135_1_90 = all_0_3_3 % 180.05/124.86 | % 180.05/124.86 | From (376) and (241) follows: % 180.05/124.86 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.86 | (212) all_85_0_75 = 0 % 180.05/124.86 | % 180.05/124.86 | Equations (212) can reduce 181 to: % 180.05/124.86 | (173) $false % 180.05/124.86 | % 180.05/124.86 |-The branch is then unsatisfiable % 180.05/124.86 |-Branch two: % 180.05/124.86 | (1688) all_402_0_271 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1688) yields: % 180.05/124.86 | (1682) all_402_0_271 = 0 % 180.05/124.86 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.86 | % 180.05/124.86 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.05/124.86 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.05/124.86 | % 180.05/124.86 | Instantiating (383) with all_442_0_276 yields: % 180.05/124.86 | (1692) (all_442_0_276 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_442_0_276 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.05/124.86 | % 180.05/124.86 +-Applying beta-rule and splitting (1675), into two cases. % 180.05/124.86 |-Branch one: % 180.05/124.86 | (1693) all_410_0_272 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.86 | % 180.05/124.86 | Applying alpha-rule on (1693) yields: % 180.05/124.87 | (1694) all_410_0_272 = 0 % 180.05/124.87 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.87 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.87 | % 180.05/124.87 | From (388) and (210) follows: % 180.05/124.87 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.05/124.87 | % 180.05/124.87 +-Applying beta-rule and splitting (1680), into two cases. % 180.05/124.87 |-Branch one: % 180.05/124.87 | (1698) all_418_0_273 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1698) yields: % 180.05/124.87 | (1699) all_418_0_273 = 0 % 180.05/124.87 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.05/124.87 | (393) all_181_1_103 = all_0_3_3 % 180.05/124.87 | % 180.05/124.87 | From (393) and (297) follows: % 180.05/124.87 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.87 | (212) all_85_0_75 = 0 % 180.05/124.87 | % 180.05/124.87 | Equations (212) can reduce 181 to: % 180.05/124.87 | (173) $false % 180.05/124.87 | % 180.05/124.87 |-The branch is then unsatisfiable % 180.05/124.87 |-Branch two: % 180.05/124.87 | (1705) all_418_0_273 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1705) yields: % 180.05/124.87 | (1699) all_418_0_273 = 0 % 180.05/124.87 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.05/124.87 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.05/124.87 | % 180.05/124.87 | Instantiating (400) with all_461_0_277 yields: % 180.05/124.87 | (1709) (all_461_0_277 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_277 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.05/124.87 | % 180.05/124.87 +-Applying beta-rule and splitting (1692), into two cases. % 180.05/124.87 |-Branch one: % 180.05/124.87 | (1710) all_442_0_276 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1710) yields: % 180.05/124.87 | (1711) all_442_0_276 = 0 % 180.05/124.87 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.05/124.87 | (405) all_135_1_90 = all_0_6_6 % 180.05/124.87 | % 180.05/124.87 | From (405) and (232) follows: % 180.05/124.87 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.87 | (233) all_110_0_83 = 0 % 180.05/124.87 | % 180.05/124.87 | Equations (233) can reduce 209 to: % 180.05/124.87 | (173) $false % 180.05/124.87 | % 180.05/124.87 |-The branch is then unsatisfiable % 180.05/124.87 |-Branch two: % 180.05/124.87 | (1717) all_442_0_276 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1717) yields: % 180.05/124.87 | (1711) all_442_0_276 = 0 % 180.05/124.87 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.05/124.87 | (412) all_135_1_90 = all_0_9_9 % 180.05/124.87 | % 180.05/124.87 | From (412) and (231) follows: % 180.05/124.87 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 180.05/124.87 | % 180.05/124.87 +-Applying beta-rule and splitting (1709), into two cases. % 180.05/124.87 |-Branch one: % 180.05/124.87 | (1722) all_461_0_277 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1722) yields: % 180.05/124.87 | (1723) all_461_0_277 = 0 % 180.05/124.87 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.05/124.87 | (417) all_181_1_103 = all_0_6_6 % 180.05/124.87 | % 180.05/124.87 | From (417) and (269) follows: % 180.05/124.87 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.87 | (233) all_110_0_83 = 0 % 180.05/124.87 | % 180.05/124.87 | Equations (233) can reduce 209 to: % 180.05/124.87 | (173) $false % 180.05/124.87 | % 180.05/124.87 |-The branch is then unsatisfiable % 180.05/124.87 |-Branch two: % 180.05/124.87 | (1729) all_461_0_277 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1729) yields: % 180.05/124.87 | (1723) all_461_0_277 = 0 % 180.05/124.87 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.05/124.87 | (424) all_181_1_103 = all_0_9_9 % 180.05/124.87 | % 180.05/124.87 | From (424) and (260) follows: % 180.05/124.87 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 180.05/124.87 | (261) all_135_0_89 = 0 % 180.05/124.87 | % 180.05/124.87 | Equations (261) can reduce 230 to: % 180.05/124.87 | (173) $false % 180.05/124.87 | % 180.05/124.87 |-The branch is then unsatisfiable % 180.05/124.87 |-Branch two: % 180.05/124.87 | (1736) all_410_0_272 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1736) yields: % 180.05/124.87 | (1694) all_410_0_272 = 0 % 180.05/124.87 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.87 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.87 | % 180.05/124.87 | From (431) and (210) follows: % 180.05/124.87 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.05/124.87 | % 180.05/124.87 +-Applying beta-rule and splitting (1680), into two cases. % 180.05/124.87 |-Branch one: % 180.05/124.87 | (1698) all_418_0_273 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1698) yields: % 180.05/124.87 | (1699) all_418_0_273 = 0 % 180.05/124.87 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.05/124.87 | (393) all_181_1_103 = all_0_3_3 % 180.05/124.87 | % 180.05/124.87 | From (393) and (297) follows: % 180.05/124.87 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.87 | (212) all_85_0_75 = 0 % 180.05/124.87 | % 180.05/124.87 | Equations (212) can reduce 181 to: % 180.05/124.87 | (173) $false % 180.05/124.87 | % 180.05/124.87 |-The branch is then unsatisfiable % 180.05/124.87 |-Branch two: % 180.05/124.87 | (1705) all_418_0_273 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1705) yields: % 180.05/124.87 | (1699) all_418_0_273 = 0 % 180.05/124.87 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.05/124.87 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.05/124.87 | % 180.05/124.87 | Instantiating (400) with all_461_0_280 yields: % 180.05/124.87 | (1752) (all_461_0_280 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_280 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.05/124.87 | % 180.05/124.87 +-Applying beta-rule and splitting (1692), into two cases. % 180.05/124.87 |-Branch one: % 180.05/124.87 | (1710) all_442_0_276 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1710) yields: % 180.05/124.87 | (1711) all_442_0_276 = 0 % 180.05/124.87 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.05/124.87 | (405) all_135_1_90 = all_0_6_6 % 180.05/124.87 | % 180.05/124.87 | From (405) and (231) follows: % 180.05/124.87 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 180.05/124.87 | % 180.05/124.87 +-Applying beta-rule and splitting (1752), into two cases. % 180.05/124.87 |-Branch one: % 180.05/124.87 | (1758) all_461_0_280 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1758) yields: % 180.05/124.87 | (1759) all_461_0_280 = 0 % 180.05/124.87 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.05/124.87 | (417) all_181_1_103 = all_0_6_6 % 180.05/124.87 | % 180.05/124.87 | From (417) and (260) follows: % 180.05/124.87 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 180.05/124.87 | (261) all_135_0_89 = 0 % 180.05/124.87 | % 180.05/124.87 | Equations (261) can reduce 230 to: % 180.05/124.87 | (173) $false % 180.05/124.87 | % 180.05/124.87 |-The branch is then unsatisfiable % 180.05/124.87 |-Branch two: % 180.05/124.87 | (1765) all_461_0_280 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1765) yields: % 180.05/124.87 | (1759) all_461_0_280 = 0 % 180.05/124.87 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.05/124.87 | (424) all_181_1_103 = all_0_9_9 % 180.05/124.87 | % 180.05/124.87 | From (424) and (269) follows: % 180.05/124.87 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.87 | (233) all_110_0_83 = 0 % 180.05/124.87 | % 180.05/124.87 | Equations (233) can reduce 209 to: % 180.05/124.87 | (173) $false % 180.05/124.87 | % 180.05/124.87 |-The branch is then unsatisfiable % 180.05/124.87 |-Branch two: % 180.05/124.87 | (1717) all_442_0_276 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1717) yields: % 180.05/124.87 | (1711) all_442_0_276 = 0 % 180.05/124.87 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.05/124.87 | (412) all_135_1_90 = all_0_9_9 % 180.05/124.87 | % 180.05/124.87 | From (412) and (232) follows: % 180.05/124.87 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.87 | (233) all_110_0_83 = 0 % 180.05/124.87 | % 180.05/124.87 | Equations (233) can reduce 209 to: % 180.05/124.87 | (173) $false % 180.05/124.87 | % 180.05/124.87 |-The branch is then unsatisfiable % 180.05/124.87 |-Branch two: % 180.05/124.87 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (471) yields: % 180.05/124.87 | (369) all_356_0_135 = 0 % 180.05/124.87 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 180.05/124.87 | (474) all_181_1_103 = all_0_5_5 % 180.05/124.87 | % 180.05/124.87 | From (474) and (259) follows: % 180.05/124.87 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 180.05/124.87 | % 180.05/124.87 +-Applying beta-rule and splitting (1653), into two cases. % 180.05/124.87 |-Branch one: % 180.05/124.87 | (1784) all_375_0_269 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1784) yields: % 180.05/124.87 | (1785) all_375_0_269 = 0 % 180.05/124.87 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 180.05/124.87 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 180.05/124.87 | % 180.05/124.87 | Instantiating (1787) with all_429_0_283 yields: % 180.05/124.87 | (1788) (all_429_0_283 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_283 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 180.05/124.87 | % 180.05/124.87 +-Applying beta-rule and splitting (1663), into two cases. % 180.05/124.87 |-Branch one: % 180.05/124.87 | (1681) all_402_0_271 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.87 | % 180.05/124.87 | Applying alpha-rule on (1681) yields: % 180.05/124.87 | (1682) all_402_0_271 = 0 % 180.05/124.87 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.05/124.87 | (376) all_135_1_90 = all_0_3_3 % 180.05/124.87 | % 180.05/124.87 | From (376) and (241) follows: % 180.05/124.87 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.87 | % 180.05/124.87 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.88 | (212) all_85_0_75 = 0 % 180.05/124.88 | % 180.05/124.88 | Equations (212) can reduce 181 to: % 180.05/124.88 | (173) $false % 180.05/124.88 | % 180.05/124.88 |-The branch is then unsatisfiable % 180.05/124.88 |-Branch two: % 180.05/124.88 | (1688) all_402_0_271 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1688) yields: % 180.05/124.88 | (1682) all_402_0_271 = 0 % 180.05/124.88 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.05/124.88 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.05/124.88 | % 180.05/124.88 | Instantiating (383) with all_445_0_285 yields: % 180.05/124.88 | (1800) (all_445_0_285 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_285 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.05/124.88 | % 180.05/124.88 +-Applying beta-rule and splitting (1675), into two cases. % 180.05/124.88 |-Branch one: % 180.05/124.88 | (1693) all_410_0_272 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1693) yields: % 180.05/124.88 | (1694) all_410_0_272 = 0 % 180.05/124.88 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.88 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.88 | % 180.05/124.88 | From (388) and (210) follows: % 180.05/124.88 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.05/124.88 | % 180.05/124.88 +-Applying beta-rule and splitting (1788), into two cases. % 180.05/124.88 |-Branch one: % 180.05/124.88 | (1806) all_429_0_283 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1806) yields: % 180.05/124.88 | (1807) all_429_0_283 = 0 % 180.05/124.88 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.05/124.88 | (1809) all_205_2_109 = all_0_3_3 % 180.05/124.88 | % 180.05/124.88 | From (1809) and (315) follows: % 180.05/124.88 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.88 | (212) all_85_0_75 = 0 % 180.05/124.88 | % 180.05/124.88 | Equations (212) can reduce 181 to: % 180.05/124.88 | (173) $false % 180.05/124.88 | % 180.05/124.88 |-The branch is then unsatisfiable % 180.05/124.88 |-Branch two: % 180.05/124.88 | (1813) all_429_0_283 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1813) yields: % 180.05/124.88 | (1807) all_429_0_283 = 0 % 180.05/124.88 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.05/124.88 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.05/124.88 | % 180.05/124.88 | Instantiating (1816) with all_464_0_286 yields: % 180.05/124.88 | (1817) (all_464_0_286 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_286 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.05/124.88 | % 180.05/124.88 +-Applying beta-rule and splitting (1800), into two cases. % 180.05/124.88 |-Branch one: % 180.05/124.88 | (1818) all_445_0_285 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1818) yields: % 180.05/124.88 | (1819) all_445_0_285 = 0 % 180.05/124.88 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.05/124.88 | (405) all_135_1_90 = all_0_6_6 % 180.05/124.88 | % 180.05/124.88 | From (405) and (232) follows: % 180.05/124.88 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.88 | (233) all_110_0_83 = 0 % 180.05/124.88 | % 180.05/124.88 | Equations (233) can reduce 209 to: % 180.05/124.88 | (173) $false % 180.05/124.88 | % 180.05/124.88 |-The branch is then unsatisfiable % 180.05/124.88 |-Branch two: % 180.05/124.88 | (1825) all_445_0_285 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1825) yields: % 180.05/124.88 | (1819) all_445_0_285 = 0 % 180.05/124.88 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.05/124.88 | (412) all_135_1_90 = all_0_9_9 % 180.05/124.88 | % 180.05/124.88 | From (412) and (231) follows: % 180.05/124.88 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 180.05/124.88 | % 180.05/124.88 +-Applying beta-rule and splitting (1817), into two cases. % 180.05/124.88 |-Branch one: % 180.05/124.88 | (1830) all_464_0_286 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1830) yields: % 180.05/124.88 | (1831) all_464_0_286 = 0 % 180.05/124.88 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.05/124.88 | (1833) all_205_2_109 = all_0_6_6 % 180.05/124.88 | % 180.05/124.88 | From (1833) and (309) follows: % 180.05/124.88 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.88 | (233) all_110_0_83 = 0 % 180.05/124.88 | % 180.05/124.88 | Equations (233) can reduce 209 to: % 180.05/124.88 | (173) $false % 180.05/124.88 | % 180.05/124.88 |-The branch is then unsatisfiable % 180.05/124.88 |-Branch two: % 180.05/124.88 | (1837) all_464_0_286 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1837) yields: % 180.05/124.88 | (1831) all_464_0_286 = 0 % 180.05/124.88 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.05/124.88 | (1840) all_205_2_109 = all_0_9_9 % 180.05/124.88 | % 180.05/124.88 | From (1840) and (303) follows: % 180.05/124.88 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 180.05/124.88 | (261) all_135_0_89 = 0 % 180.05/124.88 | % 180.05/124.88 | Equations (261) can reduce 230 to: % 180.05/124.88 | (173) $false % 180.05/124.88 | % 180.05/124.88 |-The branch is then unsatisfiable % 180.05/124.88 |-Branch two: % 180.05/124.88 | (1736) all_410_0_272 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1736) yields: % 180.05/124.88 | (1694) all_410_0_272 = 0 % 180.05/124.88 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.05/124.88 | (431) all_110_1_84 = all_0_9_9 % 180.05/124.88 | % 180.05/124.88 | From (431) and (210) follows: % 180.05/124.88 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.05/124.88 | % 180.05/124.88 +-Applying beta-rule and splitting (1788), into two cases. % 180.05/124.88 |-Branch one: % 180.05/124.88 | (1806) all_429_0_283 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1806) yields: % 180.05/124.88 | (1807) all_429_0_283 = 0 % 180.05/124.88 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.05/124.88 | (1809) all_205_2_109 = all_0_3_3 % 180.05/124.88 | % 180.05/124.88 | From (1809) and (315) follows: % 180.05/124.88 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.88 | (212) all_85_0_75 = 0 % 180.05/124.88 | % 180.05/124.88 | Equations (212) can reduce 181 to: % 180.05/124.88 | (173) $false % 180.05/124.88 | % 180.05/124.88 |-The branch is then unsatisfiable % 180.05/124.88 |-Branch two: % 180.05/124.88 | (1813) all_429_0_283 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1813) yields: % 180.05/124.88 | (1807) all_429_0_283 = 0 % 180.05/124.88 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.05/124.88 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.05/124.88 | % 180.05/124.88 | Instantiating (1816) with all_464_0_288 yields: % 180.05/124.88 | (1860) (all_464_0_288 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_288 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.05/124.88 | % 180.05/124.88 +-Applying beta-rule and splitting (1800), into two cases. % 180.05/124.88 |-Branch one: % 180.05/124.88 | (1818) all_445_0_285 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1818) yields: % 180.05/124.88 | (1819) all_445_0_285 = 0 % 180.05/124.88 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.05/124.88 | (405) all_135_1_90 = all_0_6_6 % 180.05/124.88 | % 180.05/124.88 | From (405) and (231) follows: % 180.05/124.88 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 180.05/124.88 | % 180.05/124.88 +-Applying beta-rule and splitting (1860), into two cases. % 180.05/124.88 |-Branch one: % 180.05/124.88 | (1866) all_464_0_288 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1866) yields: % 180.05/124.88 | (1867) all_464_0_288 = 0 % 180.05/124.88 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.05/124.88 | (1833) all_205_2_109 = all_0_6_6 % 180.05/124.88 | % 180.05/124.88 | From (1833) and (303) follows: % 180.05/124.88 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 180.05/124.88 | (261) all_135_0_89 = 0 % 180.05/124.88 | % 180.05/124.88 | Equations (261) can reduce 230 to: % 180.05/124.88 | (173) $false % 180.05/124.88 | % 180.05/124.88 |-The branch is then unsatisfiable % 180.05/124.88 |-Branch two: % 180.05/124.88 | (1873) all_464_0_288 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1873) yields: % 180.05/124.88 | (1867) all_464_0_288 = 0 % 180.05/124.88 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.05/124.88 | (1840) all_205_2_109 = all_0_9_9 % 180.05/124.88 | % 180.05/124.88 | From (1840) and (309) follows: % 180.05/124.88 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.88 | (233) all_110_0_83 = 0 % 180.05/124.88 | % 180.05/124.88 | Equations (233) can reduce 209 to: % 180.05/124.88 | (173) $false % 180.05/124.88 | % 180.05/124.88 |-The branch is then unsatisfiable % 180.05/124.88 |-Branch two: % 180.05/124.88 | (1825) all_445_0_285 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Applying alpha-rule on (1825) yields: % 180.05/124.88 | (1819) all_445_0_285 = 0 % 180.05/124.88 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.05/124.88 | (412) all_135_1_90 = all_0_9_9 % 180.05/124.88 | % 180.05/124.88 | From (412) and (232) follows: % 180.05/124.88 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.05/124.88 | % 180.05/124.88 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.05/124.89 | (233) all_110_0_83 = 0 % 180.05/124.89 | % 180.05/124.89 | Equations (233) can reduce 209 to: % 180.05/124.89 | (173) $false % 180.05/124.89 | % 180.05/124.89 |-The branch is then unsatisfiable % 180.05/124.89 |-Branch two: % 180.05/124.89 | (1887) all_375_0_269 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1887) yields: % 180.05/124.89 | (1785) all_375_0_269 = 0 % 180.05/124.89 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 180.05/124.89 | (1890) all_205_2_109 = all_0_5_5 % 180.05/124.89 | % 180.05/124.89 | From (1890) and (296) follows: % 180.05/124.89 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 180.05/124.89 | (288) all_181_0_102 = 0 % 180.05/124.89 | % 180.05/124.89 | Equations (288) can reduce 258 to: % 180.05/124.89 | (173) $false % 180.05/124.89 | % 180.05/124.89 |-The branch is then unsatisfiable % 180.05/124.89 |-Branch two: % 180.05/124.89 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (586) yields: % 180.05/124.89 | (352) all_340_0_133 = 0 % 180.05/124.89 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 180.05/124.89 | (589) all_135_1_90 = all_0_5_5 % 180.05/124.89 | % 180.05/124.89 | From (589) and (231) follows: % 180.05/124.89 | (590) mem(all_0_5_5, all_99_1_80) = all_135_0_89 % 180.05/124.89 | % 180.05/124.89 +-Applying beta-rule and splitting (335), into two cases. % 180.05/124.89 |-Branch one: % 180.05/124.89 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (356) yields: % 180.05/124.89 | (357) all_348_0_134 = 0 % 180.05/124.89 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 180.05/124.89 | (359) all_110_1_84 = all_0_3_3 % 180.05/124.89 | % 180.05/124.89 | From (359) and (211) follows: % 180.05/124.89 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.89 | (212) all_85_0_75 = 0 % 180.05/124.89 | % 180.05/124.89 | Equations (212) can reduce 181 to: % 180.05/124.89 | (173) $false % 180.05/124.89 | % 180.05/124.89 |-The branch is then unsatisfiable % 180.05/124.89 |-Branch two: % 180.05/124.89 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (363) yields: % 180.05/124.89 | (357) all_348_0_134 = 0 % 180.05/124.89 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 180.05/124.89 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 180.05/124.89 | % 180.05/124.89 | Instantiating (366) with all_413_0_290 yields: % 180.05/124.89 | (1910) (all_413_0_290 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_413_0_290 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 180.05/124.89 | % 180.05/124.89 +-Applying beta-rule and splitting (340), into two cases. % 180.05/124.89 |-Branch one: % 180.05/124.89 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (368) yields: % 180.05/124.89 | (369) all_356_0_135 = 0 % 180.05/124.89 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 180.05/124.89 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 180.05/124.89 | % 180.05/124.89 | Instantiating (371) with all_421_0_291 yields: % 180.05/124.89 | (1915) (all_421_0_291 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_421_0_291 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 180.05/124.89 | % 180.05/124.89 +-Applying beta-rule and splitting (1653), into two cases. % 180.05/124.89 |-Branch one: % 180.05/124.89 | (1784) all_375_0_269 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1784) yields: % 180.05/124.89 | (1785) all_375_0_269 = 0 % 180.05/124.89 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 180.05/124.89 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 180.05/124.89 | % 180.05/124.89 | Instantiating (1787) with all_429_0_292 yields: % 180.05/124.89 | (1920) (all_429_0_292 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_292 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 180.05/124.89 | % 180.05/124.89 +-Applying beta-rule and splitting (1910), into two cases. % 180.05/124.89 |-Branch one: % 180.05/124.89 | (1921) all_413_0_290 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1921) yields: % 180.05/124.89 | (1922) all_413_0_290 = 0 % 180.05/124.89 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.05/124.89 | (388) all_110_1_84 = all_0_6_6 % 180.05/124.89 | % 180.05/124.89 | From (388) and (210) follows: % 180.05/124.89 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.05/124.89 | % 180.05/124.89 +-Applying beta-rule and splitting (1915), into two cases. % 180.05/124.89 |-Branch one: % 180.05/124.89 | (1926) all_421_0_291 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1926) yields: % 180.05/124.89 | (1927) all_421_0_291 = 0 % 180.05/124.89 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.05/124.89 | (393) all_181_1_103 = all_0_3_3 % 180.05/124.89 | % 180.05/124.89 | From (393) and (297) follows: % 180.05/124.89 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.89 | (212) all_85_0_75 = 0 % 180.05/124.89 | % 180.05/124.89 | Equations (212) can reduce 181 to: % 180.05/124.89 | (173) $false % 180.05/124.89 | % 180.05/124.89 |-The branch is then unsatisfiable % 180.05/124.89 |-Branch two: % 180.05/124.89 | (1933) all_421_0_291 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1933) yields: % 180.05/124.89 | (1927) all_421_0_291 = 0 % 180.05/124.89 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.05/124.89 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.05/124.89 | % 180.05/124.89 | Instantiating (400) with all_456_0_294 yields: % 180.05/124.89 | (1937) (all_456_0_294 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_294 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.05/124.89 | % 180.05/124.89 +-Applying beta-rule and splitting (1920), into two cases. % 180.05/124.89 |-Branch one: % 180.05/124.89 | (1938) all_429_0_292 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1938) yields: % 180.05/124.89 | (1939) all_429_0_292 = 0 % 180.05/124.89 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.05/124.89 | (1809) all_205_2_109 = all_0_3_3 % 180.05/124.89 | % 180.05/124.89 | From (1809) and (315) follows: % 180.05/124.89 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.05/124.89 | (212) all_85_0_75 = 0 % 180.05/124.89 | % 180.05/124.89 | Equations (212) can reduce 181 to: % 180.05/124.89 | (173) $false % 180.05/124.89 | % 180.05/124.89 |-The branch is then unsatisfiable % 180.05/124.89 |-Branch two: % 180.05/124.89 | (1945) all_429_0_292 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1945) yields: % 180.05/124.89 | (1939) all_429_0_292 = 0 % 180.05/124.89 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.05/124.89 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.05/124.89 | % 180.05/124.89 | Instantiating (1816) with all_464_0_295 yields: % 180.05/124.89 | (1949) (all_464_0_295 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_295 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.05/124.89 | % 180.05/124.89 +-Applying beta-rule and splitting (1937), into two cases. % 180.05/124.89 |-Branch one: % 180.05/124.89 | (1950) all_456_0_294 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1950) yields: % 180.05/124.89 | (1951) all_456_0_294 = 0 % 180.05/124.89 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.05/124.89 | (417) all_181_1_103 = all_0_6_6 % 180.05/124.89 | % 180.05/124.89 | From (417) and (269) follows: % 180.05/124.89 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.05/124.89 | (233) all_110_0_83 = 0 % 180.05/124.89 | % 180.05/124.89 | Equations (233) can reduce 209 to: % 180.05/124.89 | (173) $false % 180.05/124.89 | % 180.05/124.89 |-The branch is then unsatisfiable % 180.05/124.89 |-Branch two: % 180.05/124.89 | (1957) all_456_0_294 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1957) yields: % 180.05/124.89 | (1951) all_456_0_294 = 0 % 180.05/124.89 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.05/124.89 | (424) all_181_1_103 = all_0_9_9 % 180.05/124.89 | % 180.05/124.89 | From (424) and (259) follows: % 180.05/124.89 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 180.05/124.89 | % 180.05/124.89 +-Applying beta-rule and splitting (1949), into two cases. % 180.05/124.89 |-Branch one: % 180.05/124.89 | (1962) all_464_0_295 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.05/124.89 | % 180.05/124.89 | Applying alpha-rule on (1962) yields: % 180.05/124.89 | (1963) all_464_0_295 = 0 % 180.05/124.89 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.05/124.89 | % 180.05/124.89 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.05/124.89 | (1833) all_205_2_109 = all_0_6_6 % 180.05/124.89 | % 180.05/124.89 | From (1833) and (309) follows: % 180.44/124.89 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.44/124.89 | % 180.44/124.89 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.44/124.89 | (233) all_110_0_83 = 0 % 180.44/124.89 | % 180.44/124.89 | Equations (233) can reduce 209 to: % 180.44/124.89 | (173) $false % 180.44/124.89 | % 180.44/124.89 |-The branch is then unsatisfiable % 180.44/124.89 |-Branch two: % 180.44/124.89 | (1969) all_464_0_295 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.89 | % 180.44/124.89 | Applying alpha-rule on (1969) yields: % 180.44/124.89 | (1963) all_464_0_295 = 0 % 180.44/124.89 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.89 | % 180.44/124.89 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.44/124.89 | (1840) all_205_2_109 = all_0_9_9 % 180.44/124.89 | % 180.44/124.89 | From (1840) and (296) follows: % 180.44/124.89 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 180.44/124.89 | % 180.44/124.89 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 180.44/124.89 | (288) all_181_0_102 = 0 % 180.44/124.89 | % 180.44/124.89 | Equations (288) can reduce 258 to: % 180.44/124.89 | (173) $false % 180.44/124.89 | % 180.44/124.89 |-The branch is then unsatisfiable % 180.44/124.90 |-Branch two: % 180.44/124.90 | (1976) all_413_0_290 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (1976) yields: % 180.44/124.90 | (1922) all_413_0_290 = 0 % 180.44/124.90 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.44/124.90 | (431) all_110_1_84 = all_0_9_9 % 180.44/124.90 | % 180.44/124.90 | From (431) and (210) follows: % 180.44/124.90 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.44/124.90 | % 180.44/124.90 +-Applying beta-rule and splitting (1915), into two cases. % 180.44/124.90 |-Branch one: % 180.44/124.90 | (1926) all_421_0_291 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (1926) yields: % 180.44/124.90 | (1927) all_421_0_291 = 0 % 180.44/124.90 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.44/124.90 | (393) all_181_1_103 = all_0_3_3 % 180.44/124.90 | % 180.44/124.90 | From (393) and (297) follows: % 180.44/124.90 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.44/124.90 | (212) all_85_0_75 = 0 % 180.44/124.90 | % 180.44/124.90 | Equations (212) can reduce 181 to: % 180.44/124.90 | (173) $false % 180.44/124.90 | % 180.44/124.90 |-The branch is then unsatisfiable % 180.44/124.90 |-Branch two: % 180.44/124.90 | (1933) all_421_0_291 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (1933) yields: % 180.44/124.90 | (1927) all_421_0_291 = 0 % 180.44/124.90 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.44/124.90 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.44/124.90 | % 180.44/124.90 | Instantiating (400) with all_456_0_297 yields: % 180.44/124.90 | (1992) (all_456_0_297 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_297 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.44/124.90 | % 180.44/124.90 +-Applying beta-rule and splitting (1920), into two cases. % 180.44/124.90 |-Branch one: % 180.44/124.90 | (1938) all_429_0_292 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (1938) yields: % 180.44/124.90 | (1939) all_429_0_292 = 0 % 180.44/124.90 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.44/124.90 | (1809) all_205_2_109 = all_0_3_3 % 180.44/124.90 | % 180.44/124.90 | From (1809) and (315) follows: % 180.44/124.90 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.44/124.90 | (212) all_85_0_75 = 0 % 180.44/124.90 | % 180.44/124.90 | Equations (212) can reduce 181 to: % 180.44/124.90 | (173) $false % 180.44/124.90 | % 180.44/124.90 |-The branch is then unsatisfiable % 180.44/124.90 |-Branch two: % 180.44/124.90 | (1945) all_429_0_292 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (1945) yields: % 180.44/124.90 | (1939) all_429_0_292 = 0 % 180.44/124.90 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.44/124.90 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.44/124.90 | % 180.44/124.90 | Instantiating (1816) with all_464_0_298 yields: % 180.44/124.90 | (2004) (all_464_0_298 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_298 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.44/124.90 | % 180.44/124.90 +-Applying beta-rule and splitting (1992), into two cases. % 180.44/124.90 |-Branch one: % 180.44/124.90 | (2005) all_456_0_297 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (2005) yields: % 180.44/124.90 | (2006) all_456_0_297 = 0 % 180.44/124.90 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.44/124.90 | (417) all_181_1_103 = all_0_6_6 % 180.44/124.90 | % 180.44/124.90 | From (417) and (259) follows: % 180.44/124.90 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 180.44/124.90 | % 180.44/124.90 +-Applying beta-rule and splitting (2004), into two cases. % 180.44/124.90 |-Branch one: % 180.44/124.90 | (2010) all_464_0_298 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (2010) yields: % 180.44/124.90 | (2011) all_464_0_298 = 0 % 180.44/124.90 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.44/124.90 | (1833) all_205_2_109 = all_0_6_6 % 180.44/124.90 | % 180.44/124.90 | From (1833) and (296) follows: % 180.44/124.90 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 180.44/124.90 | (288) all_181_0_102 = 0 % 180.44/124.90 | % 180.44/124.90 | Equations (288) can reduce 258 to: % 180.44/124.90 | (173) $false % 180.44/124.90 | % 180.44/124.90 |-The branch is then unsatisfiable % 180.44/124.90 |-Branch two: % 180.44/124.90 | (2017) all_464_0_298 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (2017) yields: % 180.44/124.90 | (2011) all_464_0_298 = 0 % 180.44/124.90 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.44/124.90 | (1840) all_205_2_109 = all_0_9_9 % 180.44/124.90 | % 180.44/124.90 | From (1840) and (309) follows: % 180.44/124.90 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.44/124.90 | (233) all_110_0_83 = 0 % 180.44/124.90 | % 180.44/124.90 | Equations (233) can reduce 209 to: % 180.44/124.90 | (173) $false % 180.44/124.90 | % 180.44/124.90 |-The branch is then unsatisfiable % 180.44/124.90 |-Branch two: % 180.44/124.90 | (2024) all_456_0_297 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (2024) yields: % 180.44/124.90 | (2006) all_456_0_297 = 0 % 180.44/124.90 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.44/124.90 | (424) all_181_1_103 = all_0_9_9 % 180.44/124.90 | % 180.44/124.90 | From (424) and (269) follows: % 180.44/124.90 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.44/124.90 | (233) all_110_0_83 = 0 % 180.44/124.90 | % 180.44/124.90 | Equations (233) can reduce 209 to: % 180.44/124.90 | (173) $false % 180.44/124.90 | % 180.44/124.90 |-The branch is then unsatisfiable % 180.44/124.90 |-Branch two: % 180.44/124.90 | (1887) all_375_0_269 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (1887) yields: % 180.44/124.90 | (1785) all_375_0_269 = 0 % 180.44/124.90 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 180.44/124.90 | (1890) all_205_2_109 = all_0_5_5 % 180.44/124.90 | % 180.44/124.90 | From (1890) and (303) follows: % 180.44/124.90 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.44/124.90 | (261) all_135_0_89 = 0 % 180.44/124.90 | % 180.44/124.90 | Equations (261) can reduce 230 to: % 180.44/124.90 | (173) $false % 180.44/124.90 | % 180.44/124.90 |-The branch is then unsatisfiable % 180.44/124.90 |-Branch two: % 180.44/124.90 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (471) yields: % 180.44/124.90 | (369) all_356_0_135 = 0 % 180.44/124.90 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 180.44/124.90 | (474) all_181_1_103 = all_0_5_5 % 180.44/124.90 | % 180.44/124.90 | From (474) and (260) follows: % 180.44/124.90 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.44/124.90 | (261) all_135_0_89 = 0 % 180.44/124.90 | % 180.44/124.90 | Equations (261) can reduce 230 to: % 180.44/124.90 | (173) $false % 180.44/124.90 | % 180.44/124.90 |-The branch is then unsatisfiable % 180.44/124.90 |-Branch two: % 180.44/124.90 | (737) all_332_0_132 = 0 & mem(all_85_1_76, all_0_3_3) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (737) yields: % 180.44/124.90 | (347) all_332_0_132 = 0 % 180.44/124.90 | (739) mem(all_85_1_76, all_0_3_3) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_85_1_76, all_0_3_3) = 0, yields: % 180.44/124.90 | (740) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_6_6) = 0)) % 180.44/124.90 | % 180.44/124.90 | Instantiating (740) with all_391_0_300 yields: % 180.44/124.90 | (2049) (all_391_0_300 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (all_391_0_300 = 0 & mem(all_85_1_76, all_0_6_6) = 0) % 180.44/124.90 | % 180.44/124.90 +-Applying beta-rule and splitting (330), into two cases. % 180.44/124.90 |-Branch one: % 180.44/124.90 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (351) yields: % 180.44/124.90 | (352) all_340_0_133 = 0 % 180.44/124.90 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 180.44/124.90 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 180.44/124.90 | % 180.44/124.90 | Instantiating (354) with all_399_0_301 yields: % 180.44/124.90 | (2054) (all_399_0_301 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_399_0_301 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 180.44/124.90 | % 180.44/124.90 +-Applying beta-rule and splitting (335), into two cases. % 180.44/124.90 |-Branch one: % 180.44/124.90 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (356) yields: % 180.44/124.90 | (357) all_348_0_134 = 0 % 180.44/124.90 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 180.44/124.90 | (359) all_110_1_84 = all_0_3_3 % 180.44/124.90 | % 180.44/124.90 | From (359) and (210) follows: % 180.44/124.90 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 180.44/124.90 | % 180.44/124.90 +-Applying beta-rule and splitting (340), into two cases. % 180.44/124.90 |-Branch one: % 180.44/124.90 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 180.44/124.90 | % 180.44/124.90 | Applying alpha-rule on (368) yields: % 180.44/124.90 | (369) all_356_0_135 = 0 % 180.44/124.90 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 180.44/124.90 | % 180.44/124.90 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 180.44/124.90 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 180.44/124.90 | % 180.44/124.90 | Instantiating (371) with all_418_0_302 yields: % 180.44/124.90 | (2064) (all_418_0_302 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_418_0_302 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 180.44/124.90 | % 180.44/124.90 +-Applying beta-rule and splitting (2049), into two cases. % 180.44/124.90 |-Branch one: % 180.44/124.90 | (2065) all_391_0_300 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2065) yields: % 180.44/124.91 | (2066) all_391_0_300 = 0 % 180.44/124.91 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.44/124.91 | (760) all_85_1_76 = all_0_6_6 % 180.44/124.91 | % 180.44/124.91 | From (760) and (182) follows: % 180.44/124.91 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.44/124.91 | % 180.44/124.91 +-Applying beta-rule and splitting (2054), into two cases. % 180.44/124.91 |-Branch one: % 180.44/124.91 | (2070) all_399_0_301 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2070) yields: % 180.44/124.91 | (2071) all_399_0_301 = 0 % 180.44/124.91 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.44/124.91 | (376) all_135_1_90 = all_0_3_3 % 180.44/124.91 | % 180.44/124.91 | From (376) and (232) follows: % 180.44/124.91 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.91 | (233) all_110_0_83 = 0 % 180.44/124.91 | % 180.44/124.91 | Equations (233) can reduce 209 to: % 180.44/124.91 | (173) $false % 180.44/124.91 | % 180.44/124.91 |-The branch is then unsatisfiable % 180.44/124.91 |-Branch two: % 180.44/124.91 | (2077) all_399_0_301 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2077) yields: % 180.44/124.91 | (2071) all_399_0_301 = 0 % 180.44/124.91 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.44/124.91 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.44/124.91 | % 180.44/124.91 | Instantiating (383) with all_453_0_305 yields: % 180.44/124.91 | (2081) (all_453_0_305 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_453_0_305 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.44/124.91 | % 180.44/124.91 +-Applying beta-rule and splitting (2064), into two cases. % 180.44/124.91 |-Branch one: % 180.44/124.91 | (2082) all_418_0_302 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2082) yields: % 180.44/124.91 | (2083) all_418_0_302 = 0 % 180.44/124.91 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.44/124.91 | (393) all_181_1_103 = all_0_3_3 % 180.44/124.91 | % 180.44/124.91 | From (393) and (269) follows: % 180.44/124.91 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.91 | (233) all_110_0_83 = 0 % 180.44/124.91 | % 180.44/124.91 | Equations (233) can reduce 209 to: % 180.44/124.91 | (173) $false % 180.44/124.91 | % 180.44/124.91 |-The branch is then unsatisfiable % 180.44/124.91 |-Branch two: % 180.44/124.91 | (2089) all_418_0_302 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2089) yields: % 180.44/124.91 | (2083) all_418_0_302 = 0 % 180.44/124.91 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.44/124.91 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.44/124.91 | % 180.44/124.91 | Instantiating (400) with all_461_0_306 yields: % 180.44/124.91 | (2093) (all_461_0_306 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_306 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.44/124.91 | % 180.44/124.91 +-Applying beta-rule and splitting (2081), into two cases. % 180.44/124.91 |-Branch one: % 180.44/124.91 | (2094) all_453_0_305 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2094) yields: % 180.44/124.91 | (2095) all_453_0_305 = 0 % 180.44/124.91 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.44/124.91 | (405) all_135_1_90 = all_0_6_6 % 180.44/124.91 | % 180.44/124.91 | From (405) and (241) follows: % 180.44/124.91 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.91 | (212) all_85_0_75 = 0 % 180.44/124.91 | % 180.44/124.91 | Equations (212) can reduce 181 to: % 180.44/124.91 | (173) $false % 180.44/124.91 | % 180.44/124.91 |-The branch is then unsatisfiable % 180.44/124.91 |-Branch two: % 180.44/124.91 | (2101) all_453_0_305 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2101) yields: % 180.44/124.91 | (2095) all_453_0_305 = 0 % 180.44/124.91 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.44/124.91 | (412) all_135_1_90 = all_0_9_9 % 180.44/124.91 | % 180.44/124.91 | From (412) and (231) follows: % 180.44/124.91 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 180.44/124.91 | % 180.44/124.91 +-Applying beta-rule and splitting (2093), into two cases. % 180.44/124.91 |-Branch one: % 180.44/124.91 | (2106) all_461_0_306 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2106) yields: % 180.44/124.91 | (2107) all_461_0_306 = 0 % 180.44/124.91 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.44/124.91 | (417) all_181_1_103 = all_0_6_6 % 180.44/124.91 | % 180.44/124.91 | From (417) and (297) follows: % 180.44/124.91 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.91 | (212) all_85_0_75 = 0 % 180.44/124.91 | % 180.44/124.91 | Equations (212) can reduce 181 to: % 180.44/124.91 | (173) $false % 180.44/124.91 | % 180.44/124.91 |-The branch is then unsatisfiable % 180.44/124.91 |-Branch two: % 180.44/124.91 | (2113) all_461_0_306 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2113) yields: % 180.44/124.91 | (2107) all_461_0_306 = 0 % 180.44/124.91 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.44/124.91 | (424) all_181_1_103 = all_0_9_9 % 180.44/124.91 | % 180.44/124.91 | From (424) and (260) follows: % 180.44/124.91 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 180.44/124.91 | (261) all_135_0_89 = 0 % 180.44/124.91 | % 180.44/124.91 | Equations (261) can reduce 230 to: % 180.44/124.91 | (173) $false % 180.44/124.91 | % 180.44/124.91 |-The branch is then unsatisfiable % 180.44/124.91 |-Branch two: % 180.44/124.91 | (2120) all_391_0_300 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2120) yields: % 180.44/124.91 | (2066) all_391_0_300 = 0 % 180.44/124.91 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.44/124.91 | (815) all_85_1_76 = all_0_9_9 % 180.44/124.91 | % 180.44/124.91 | From (815) and (182) follows: % 180.44/124.91 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.44/124.91 | % 180.44/124.91 +-Applying beta-rule and splitting (2054), into two cases. % 180.44/124.91 |-Branch one: % 180.44/124.91 | (2070) all_399_0_301 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2070) yields: % 180.44/124.91 | (2071) all_399_0_301 = 0 % 180.44/124.91 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.44/124.91 | (376) all_135_1_90 = all_0_3_3 % 180.44/124.91 | % 180.44/124.91 | From (376) and (232) follows: % 180.44/124.91 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.91 | (233) all_110_0_83 = 0 % 180.44/124.91 | % 180.44/124.91 | Equations (233) can reduce 209 to: % 180.44/124.91 | (173) $false % 180.44/124.91 | % 180.44/124.91 |-The branch is then unsatisfiable % 180.44/124.91 |-Branch two: % 180.44/124.91 | (2077) all_399_0_301 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2077) yields: % 180.44/124.91 | (2071) all_399_0_301 = 0 % 180.44/124.91 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.44/124.91 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.44/124.91 | % 180.44/124.91 | Instantiating (383) with all_453_0_309 yields: % 180.44/124.91 | (2136) (all_453_0_309 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_453_0_309 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.44/124.91 | % 180.44/124.91 +-Applying beta-rule and splitting (2064), into two cases. % 180.44/124.91 |-Branch one: % 180.44/124.91 | (2082) all_418_0_302 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2082) yields: % 180.44/124.91 | (2083) all_418_0_302 = 0 % 180.44/124.91 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.44/124.91 | (393) all_181_1_103 = all_0_3_3 % 180.44/124.91 | % 180.44/124.91 | From (393) and (269) follows: % 180.44/124.91 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.91 | (233) all_110_0_83 = 0 % 180.44/124.91 | % 180.44/124.91 | Equations (233) can reduce 209 to: % 180.44/124.91 | (173) $false % 180.44/124.91 | % 180.44/124.91 |-The branch is then unsatisfiable % 180.44/124.91 |-Branch two: % 180.44/124.91 | (2089) all_418_0_302 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2089) yields: % 180.44/124.91 | (2083) all_418_0_302 = 0 % 180.44/124.91 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.91 | % 180.44/124.91 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.44/124.91 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.44/124.91 | % 180.44/124.91 | Instantiating (400) with all_461_0_310 yields: % 180.44/124.91 | (2148) (all_461_0_310 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_310 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.44/124.91 | % 180.44/124.91 +-Applying beta-rule and splitting (2136), into two cases. % 180.44/124.91 |-Branch one: % 180.44/124.91 | (2149) all_453_0_309 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.91 | % 180.44/124.91 | Applying alpha-rule on (2149) yields: % 180.44/124.91 | (2150) all_453_0_309 = 0 % 180.44/124.91 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.44/124.92 | (405) all_135_1_90 = all_0_6_6 % 180.44/124.92 | % 180.44/124.92 | From (405) and (231) follows: % 180.44/124.92 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 180.44/124.92 | % 180.44/124.92 +-Applying beta-rule and splitting (2148), into two cases. % 180.44/124.92 |-Branch one: % 180.44/124.92 | (2154) all_461_0_310 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2154) yields: % 180.44/124.92 | (2155) all_461_0_310 = 0 % 180.44/124.92 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.44/124.92 | (417) all_181_1_103 = all_0_6_6 % 180.44/124.92 | % 180.44/124.92 | From (417) and (260) follows: % 180.44/124.92 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 180.44/124.92 | (261) all_135_0_89 = 0 % 180.44/124.92 | % 180.44/124.92 | Equations (261) can reduce 230 to: % 180.44/124.92 | (173) $false % 180.44/124.92 | % 180.44/124.92 |-The branch is then unsatisfiable % 180.44/124.92 |-Branch two: % 180.44/124.92 | (2161) all_461_0_310 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2161) yields: % 180.44/124.92 | (2155) all_461_0_310 = 0 % 180.44/124.92 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.44/124.92 | (424) all_181_1_103 = all_0_9_9 % 180.44/124.92 | % 180.44/124.92 | From (424) and (297) follows: % 180.44/124.92 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.92 | (212) all_85_0_75 = 0 % 180.44/124.92 | % 180.44/124.92 | Equations (212) can reduce 181 to: % 180.44/124.92 | (173) $false % 180.44/124.92 | % 180.44/124.92 |-The branch is then unsatisfiable % 180.44/124.92 |-Branch two: % 180.44/124.92 | (2168) all_453_0_309 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2168) yields: % 180.44/124.92 | (2150) all_453_0_309 = 0 % 180.44/124.92 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.44/124.92 | (412) all_135_1_90 = all_0_9_9 % 180.44/124.92 | % 180.44/124.92 | From (412) and (241) follows: % 180.44/124.92 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.92 | (212) all_85_0_75 = 0 % 180.44/124.92 | % 180.44/124.92 | Equations (212) can reduce 181 to: % 180.44/124.92 | (173) $false % 180.44/124.92 | % 180.44/124.92 |-The branch is then unsatisfiable % 180.44/124.92 |-Branch two: % 180.44/124.92 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (471) yields: % 180.44/124.92 | (369) all_356_0_135 = 0 % 180.44/124.92 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 180.44/124.92 | (474) all_181_1_103 = all_0_5_5 % 180.44/124.92 | % 180.44/124.92 | From (474) and (259) follows: % 180.44/124.92 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 180.44/124.92 | % 180.44/124.92 +-Applying beta-rule and splitting (1653), into two cases. % 180.44/124.92 |-Branch one: % 180.44/124.92 | (1784) all_375_0_269 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (1784) yields: % 180.44/124.92 | (1785) all_375_0_269 = 0 % 180.44/124.92 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 180.44/124.92 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 180.44/124.92 | % 180.44/124.92 | Instantiating (1787) with all_429_0_313 yields: % 180.44/124.92 | (2184) (all_429_0_313 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_313 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 180.44/124.92 | % 180.44/124.92 +-Applying beta-rule and splitting (2049), into two cases. % 180.44/124.92 |-Branch one: % 180.44/124.92 | (2065) all_391_0_300 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2065) yields: % 180.44/124.92 | (2066) all_391_0_300 = 0 % 180.44/124.92 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.44/124.92 | (760) all_85_1_76 = all_0_6_6 % 180.44/124.92 | % 180.44/124.92 | From (760) and (182) follows: % 180.44/124.92 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.44/124.92 | % 180.44/124.92 +-Applying beta-rule and splitting (2054), into two cases. % 180.44/124.92 |-Branch one: % 180.44/124.92 | (2070) all_399_0_301 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2070) yields: % 180.44/124.92 | (2071) all_399_0_301 = 0 % 180.44/124.92 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.44/124.92 | (376) all_135_1_90 = all_0_3_3 % 180.44/124.92 | % 180.44/124.92 | From (376) and (232) follows: % 180.44/124.92 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.92 | (233) all_110_0_83 = 0 % 180.44/124.92 | % 180.44/124.92 | Equations (233) can reduce 209 to: % 180.44/124.92 | (173) $false % 180.44/124.92 | % 180.44/124.92 |-The branch is then unsatisfiable % 180.44/124.92 |-Branch two: % 180.44/124.92 | (2077) all_399_0_301 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2077) yields: % 180.44/124.92 | (2071) all_399_0_301 = 0 % 180.44/124.92 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.44/124.92 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.44/124.92 | % 180.44/124.92 | Instantiating (383) with all_456_0_315 yields: % 180.44/124.92 | (2201) (all_456_0_315 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_456_0_315 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.44/124.92 | % 180.44/124.92 +-Applying beta-rule and splitting (2184), into two cases. % 180.44/124.92 |-Branch one: % 180.44/124.92 | (2202) all_429_0_313 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2202) yields: % 180.44/124.92 | (2203) all_429_0_313 = 0 % 180.44/124.92 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.44/124.92 | (1809) all_205_2_109 = all_0_3_3 % 180.44/124.92 | % 180.44/124.92 | From (1809) and (309) follows: % 180.44/124.92 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.92 | (233) all_110_0_83 = 0 % 180.44/124.92 | % 180.44/124.92 | Equations (233) can reduce 209 to: % 180.44/124.92 | (173) $false % 180.44/124.92 | % 180.44/124.92 |-The branch is then unsatisfiable % 180.44/124.92 |-Branch two: % 180.44/124.92 | (2209) all_429_0_313 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2209) yields: % 180.44/124.92 | (2203) all_429_0_313 = 0 % 180.44/124.92 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.44/124.92 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.44/124.92 | % 180.44/124.92 | Instantiating (1816) with all_464_0_316 yields: % 180.44/124.92 | (2213) (all_464_0_316 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_316 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.44/124.92 | % 180.44/124.92 +-Applying beta-rule and splitting (2201), into two cases. % 180.44/124.92 |-Branch one: % 180.44/124.92 | (2214) all_456_0_315 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2214) yields: % 180.44/124.92 | (2215) all_456_0_315 = 0 % 180.44/124.92 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.44/124.92 | (405) all_135_1_90 = all_0_6_6 % 180.44/124.92 | % 180.44/124.92 | From (405) and (241) follows: % 180.44/124.92 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.92 | (212) all_85_0_75 = 0 % 180.44/124.92 | % 180.44/124.92 | Equations (212) can reduce 181 to: % 180.44/124.92 | (173) $false % 180.44/124.92 | % 180.44/124.92 |-The branch is then unsatisfiable % 180.44/124.92 |-Branch two: % 180.44/124.92 | (2221) all_456_0_315 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2221) yields: % 180.44/124.92 | (2215) all_456_0_315 = 0 % 180.44/124.92 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.44/124.92 | (412) all_135_1_90 = all_0_9_9 % 180.44/124.92 | % 180.44/124.92 | From (412) and (231) follows: % 180.44/124.92 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 180.44/124.92 | % 180.44/124.92 +-Applying beta-rule and splitting (2213), into two cases. % 180.44/124.92 |-Branch one: % 180.44/124.92 | (2226) all_464_0_316 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2226) yields: % 180.44/124.92 | (2227) all_464_0_316 = 0 % 180.44/124.92 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.44/124.92 | (1833) all_205_2_109 = all_0_6_6 % 180.44/124.92 | % 180.44/124.92 | From (1833) and (315) follows: % 180.44/124.92 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.92 | (212) all_85_0_75 = 0 % 180.44/124.92 | % 180.44/124.92 | Equations (212) can reduce 181 to: % 180.44/124.92 | (173) $false % 180.44/124.92 | % 180.44/124.92 |-The branch is then unsatisfiable % 180.44/124.92 |-Branch two: % 180.44/124.92 | (2233) all_464_0_316 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.92 | % 180.44/124.92 | Applying alpha-rule on (2233) yields: % 180.44/124.92 | (2227) all_464_0_316 = 0 % 180.44/124.92 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.92 | % 180.44/124.92 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.44/124.92 | (1840) all_205_2_109 = all_0_9_9 % 180.44/124.92 | % 180.44/124.92 | From (1840) and (303) follows: % 180.44/124.93 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 180.44/124.93 | (261) all_135_0_89 = 0 % 180.44/124.93 | % 180.44/124.93 | Equations (261) can reduce 230 to: % 180.44/124.93 | (173) $false % 180.44/124.93 | % 180.44/124.93 |-The branch is then unsatisfiable % 180.44/124.93 |-Branch two: % 180.44/124.93 | (2120) all_391_0_300 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2120) yields: % 180.44/124.93 | (2066) all_391_0_300 = 0 % 180.44/124.93 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.44/124.93 | (815) all_85_1_76 = all_0_9_9 % 180.44/124.93 | % 180.44/124.93 | From (815) and (182) follows: % 180.44/124.93 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.44/124.93 | % 180.44/124.93 +-Applying beta-rule and splitting (2054), into two cases. % 180.44/124.93 |-Branch one: % 180.44/124.93 | (2070) all_399_0_301 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2070) yields: % 180.44/124.93 | (2071) all_399_0_301 = 0 % 180.44/124.93 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.44/124.93 | (376) all_135_1_90 = all_0_3_3 % 180.44/124.93 | % 180.44/124.93 | From (376) and (232) follows: % 180.44/124.93 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.93 | (233) all_110_0_83 = 0 % 180.44/124.93 | % 180.44/124.93 | Equations (233) can reduce 209 to: % 180.44/124.93 | (173) $false % 180.44/124.93 | % 180.44/124.93 |-The branch is then unsatisfiable % 180.44/124.93 |-Branch two: % 180.44/124.93 | (2077) all_399_0_301 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2077) yields: % 180.44/124.93 | (2071) all_399_0_301 = 0 % 180.44/124.93 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.44/124.93 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.44/124.93 | % 180.44/124.93 | Instantiating (383) with all_456_0_318 yields: % 180.44/124.93 | (2256) (all_456_0_318 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_456_0_318 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.44/124.93 | % 180.44/124.93 +-Applying beta-rule and splitting (2184), into two cases. % 180.44/124.93 |-Branch one: % 180.44/124.93 | (2202) all_429_0_313 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2202) yields: % 180.44/124.93 | (2203) all_429_0_313 = 0 % 180.44/124.93 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.44/124.93 | (1809) all_205_2_109 = all_0_3_3 % 180.44/124.93 | % 180.44/124.93 | From (1809) and (309) follows: % 180.44/124.93 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.93 | (233) all_110_0_83 = 0 % 180.44/124.93 | % 180.44/124.93 | Equations (233) can reduce 209 to: % 180.44/124.93 | (173) $false % 180.44/124.93 | % 180.44/124.93 |-The branch is then unsatisfiable % 180.44/124.93 |-Branch two: % 180.44/124.93 | (2209) all_429_0_313 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2209) yields: % 180.44/124.93 | (2203) all_429_0_313 = 0 % 180.44/124.93 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.44/124.93 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.44/124.93 | % 180.44/124.93 | Instantiating (1816) with all_464_0_319 yields: % 180.44/124.93 | (2268) (all_464_0_319 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_319 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.44/124.93 | % 180.44/124.93 +-Applying beta-rule and splitting (2256), into two cases. % 180.44/124.93 |-Branch one: % 180.44/124.93 | (2269) all_456_0_318 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2269) yields: % 180.44/124.93 | (2270) all_456_0_318 = 0 % 180.44/124.93 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.44/124.93 | (405) all_135_1_90 = all_0_6_6 % 180.44/124.93 | % 180.44/124.93 | From (405) and (231) follows: % 180.44/124.93 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 180.44/124.93 | % 180.44/124.93 +-Applying beta-rule and splitting (2268), into two cases. % 180.44/124.93 |-Branch one: % 180.44/124.93 | (2274) all_464_0_319 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2274) yields: % 180.44/124.93 | (2275) all_464_0_319 = 0 % 180.44/124.93 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.44/124.93 | (1833) all_205_2_109 = all_0_6_6 % 180.44/124.93 | % 180.44/124.93 | From (1833) and (303) follows: % 180.44/124.93 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 180.44/124.93 | (261) all_135_0_89 = 0 % 180.44/124.93 | % 180.44/124.93 | Equations (261) can reduce 230 to: % 180.44/124.93 | (173) $false % 180.44/124.93 | % 180.44/124.93 |-The branch is then unsatisfiable % 180.44/124.93 |-Branch two: % 180.44/124.93 | (2281) all_464_0_319 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2281) yields: % 180.44/124.93 | (2275) all_464_0_319 = 0 % 180.44/124.93 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.44/124.93 | (1840) all_205_2_109 = all_0_9_9 % 180.44/124.93 | % 180.44/124.93 | From (1840) and (315) follows: % 180.44/124.93 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.93 | (212) all_85_0_75 = 0 % 180.44/124.93 | % 180.44/124.93 | Equations (212) can reduce 181 to: % 180.44/124.93 | (173) $false % 180.44/124.93 | % 180.44/124.93 |-The branch is then unsatisfiable % 180.44/124.93 |-Branch two: % 180.44/124.93 | (2288) all_456_0_318 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2288) yields: % 180.44/124.93 | (2270) all_456_0_318 = 0 % 180.44/124.93 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.44/124.93 | (412) all_135_1_90 = all_0_9_9 % 180.44/124.93 | % 180.44/124.93 | From (412) and (241) follows: % 180.44/124.93 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.93 | (212) all_85_0_75 = 0 % 180.44/124.93 | % 180.44/124.93 | Equations (212) can reduce 181 to: % 180.44/124.93 | (173) $false % 180.44/124.93 | % 180.44/124.93 |-The branch is then unsatisfiable % 180.44/124.93 |-Branch two: % 180.44/124.93 | (1887) all_375_0_269 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (1887) yields: % 180.44/124.93 | (1785) all_375_0_269 = 0 % 180.44/124.93 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 180.44/124.93 | (1890) all_205_2_109 = all_0_5_5 % 180.44/124.93 | % 180.44/124.93 | From (1890) and (296) follows: % 180.44/124.93 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 180.44/124.93 | (288) all_181_0_102 = 0 % 180.44/124.93 | % 180.44/124.93 | Equations (288) can reduce 258 to: % 180.44/124.93 | (173) $false % 180.44/124.93 | % 180.44/124.93 |-The branch is then unsatisfiable % 180.44/124.93 |-Branch two: % 180.44/124.93 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (363) yields: % 180.44/124.93 | (357) all_348_0_134 = 0 % 180.44/124.93 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 180.44/124.93 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 180.44/124.93 | % 180.44/124.93 | Instantiating (366) with all_407_0_321 yields: % 180.44/124.93 | (2306) (all_407_0_321 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_407_0_321 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 180.44/124.93 | % 180.44/124.93 +-Applying beta-rule and splitting (340), into two cases. % 180.44/124.93 |-Branch one: % 180.44/124.93 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (368) yields: % 180.44/124.93 | (369) all_356_0_135 = 0 % 180.44/124.93 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 180.44/124.93 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 180.44/124.93 | % 180.44/124.93 | Instantiating (371) with all_415_0_322 yields: % 180.44/124.93 | (2311) (all_415_0_322 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_415_0_322 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 180.44/124.93 | % 180.44/124.93 +-Applying beta-rule and splitting (2049), into two cases. % 180.44/124.93 |-Branch one: % 180.44/124.93 | (2065) all_391_0_300 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.93 | % 180.44/124.93 | Applying alpha-rule on (2065) yields: % 180.44/124.93 | (2066) all_391_0_300 = 0 % 180.44/124.93 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.93 | % 180.44/124.93 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.44/124.93 | (760) all_85_1_76 = all_0_6_6 % 180.44/124.93 | % 180.44/124.93 | From (760) and (182) follows: % 180.44/124.93 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.44/124.93 | % 180.44/124.93 +-Applying beta-rule and splitting (2054), into two cases. % 180.44/124.93 |-Branch one: % 180.44/124.94 | (2070) all_399_0_301 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2070) yields: % 180.44/124.94 | (2071) all_399_0_301 = 0 % 180.44/124.94 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.44/124.94 | (376) all_135_1_90 = all_0_3_3 % 180.44/124.94 | % 180.44/124.94 | From (376) and (231) follows: % 180.44/124.94 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 180.44/124.94 | % 180.44/124.94 +-Applying beta-rule and splitting (2306), into two cases. % 180.44/124.94 |-Branch one: % 180.44/124.94 | (2322) all_407_0_321 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2322) yields: % 180.44/124.94 | (2323) all_407_0_321 = 0 % 180.44/124.94 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.44/124.94 | (388) all_110_1_84 = all_0_6_6 % 180.44/124.94 | % 180.44/124.94 | From (388) and (211) follows: % 180.44/124.94 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.94 | (212) all_85_0_75 = 0 % 180.44/124.94 | % 180.44/124.94 | Equations (212) can reduce 181 to: % 180.44/124.94 | (173) $false % 180.44/124.94 | % 180.44/124.94 |-The branch is then unsatisfiable % 180.44/124.94 |-Branch two: % 180.44/124.94 | (2329) all_407_0_321 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2329) yields: % 180.44/124.94 | (2323) all_407_0_321 = 0 % 180.44/124.94 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.44/124.94 | (431) all_110_1_84 = all_0_9_9 % 180.44/124.94 | % 180.44/124.94 | From (431) and (210) follows: % 180.44/124.94 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.44/124.94 | % 180.44/124.94 +-Applying beta-rule and splitting (2311), into two cases. % 180.44/124.94 |-Branch one: % 180.44/124.94 | (2334) all_415_0_322 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2334) yields: % 180.44/124.94 | (2335) all_415_0_322 = 0 % 180.44/124.94 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.44/124.94 | (393) all_181_1_103 = all_0_3_3 % 180.44/124.94 | % 180.44/124.94 | From (393) and (260) follows: % 180.44/124.94 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 180.44/124.94 | (261) all_135_0_89 = 0 % 180.44/124.94 | % 180.44/124.94 | Equations (261) can reduce 230 to: % 180.44/124.94 | (173) $false % 180.44/124.94 | % 180.44/124.94 |-The branch is then unsatisfiable % 180.44/124.94 |-Branch two: % 180.44/124.94 | (2341) all_415_0_322 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2341) yields: % 180.44/124.94 | (2335) all_415_0_322 = 0 % 180.44/124.94 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.44/124.94 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.44/124.94 | % 180.44/124.94 | Instantiating (400) with all_472_0_325 yields: % 180.44/124.94 | (2345) (all_472_0_325 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_472_0_325 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.44/124.94 | % 180.44/124.94 +-Applying beta-rule and splitting (2345), into two cases. % 180.44/124.94 |-Branch one: % 180.44/124.94 | (2346) all_472_0_325 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2346) yields: % 180.44/124.94 | (2347) all_472_0_325 = 0 % 180.44/124.94 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.44/124.94 | (417) all_181_1_103 = all_0_6_6 % 180.44/124.94 | % 180.44/124.94 | From (417) and (297) follows: % 180.44/124.94 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.94 | (212) all_85_0_75 = 0 % 180.44/124.94 | % 180.44/124.94 | Equations (212) can reduce 181 to: % 180.44/124.94 | (173) $false % 180.44/124.94 | % 180.44/124.94 |-The branch is then unsatisfiable % 180.44/124.94 |-Branch two: % 180.44/124.94 | (2353) all_472_0_325 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2353) yields: % 180.44/124.94 | (2347) all_472_0_325 = 0 % 180.44/124.94 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.44/124.94 | (424) all_181_1_103 = all_0_9_9 % 180.44/124.94 | % 180.44/124.94 | From (424) and (269) follows: % 180.44/124.94 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.44/124.94 | (233) all_110_0_83 = 0 % 180.44/124.94 | % 180.44/124.94 | Equations (233) can reduce 209 to: % 180.44/124.94 | (173) $false % 180.44/124.94 | % 180.44/124.94 |-The branch is then unsatisfiable % 180.44/124.94 |-Branch two: % 180.44/124.94 | (2077) all_399_0_301 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2077) yields: % 180.44/124.94 | (2071) all_399_0_301 = 0 % 180.44/124.94 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.44/124.94 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.44/124.94 | % 180.44/124.94 | Instantiating (383) with all_450_0_328 yields: % 180.44/124.94 | (2364) (all_450_0_328 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_450_0_328 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.44/124.94 | % 180.44/124.94 +-Applying beta-rule and splitting (2306), into two cases. % 180.44/124.94 |-Branch one: % 180.44/124.94 | (2322) all_407_0_321 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2322) yields: % 180.44/124.94 | (2323) all_407_0_321 = 0 % 180.44/124.94 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.44/124.94 | (388) all_110_1_84 = all_0_6_6 % 180.44/124.94 | % 180.44/124.94 | From (388) and (211) follows: % 180.44/124.94 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.94 | (212) all_85_0_75 = 0 % 180.44/124.94 | % 180.44/124.94 | Equations (212) can reduce 181 to: % 180.44/124.94 | (173) $false % 180.44/124.94 | % 180.44/124.94 |-The branch is then unsatisfiable % 180.44/124.94 |-Branch two: % 180.44/124.94 | (2329) all_407_0_321 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2329) yields: % 180.44/124.94 | (2323) all_407_0_321 = 0 % 180.44/124.94 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.44/124.94 | (431) all_110_1_84 = all_0_9_9 % 180.44/124.94 | % 180.44/124.94 | From (431) and (210) follows: % 180.44/124.94 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.44/124.94 | % 180.44/124.94 +-Applying beta-rule and splitting (2364), into two cases. % 180.44/124.94 |-Branch one: % 180.44/124.94 | (2377) all_450_0_328 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2377) yields: % 180.44/124.94 | (2378) all_450_0_328 = 0 % 180.44/124.94 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.44/124.94 | (405) all_135_1_90 = all_0_6_6 % 180.44/124.94 | % 180.44/124.94 | From (405) and (241) follows: % 180.44/124.94 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.94 | (212) all_85_0_75 = 0 % 180.44/124.94 | % 180.44/124.94 | Equations (212) can reduce 181 to: % 180.44/124.94 | (173) $false % 180.44/124.94 | % 180.44/124.94 |-The branch is then unsatisfiable % 180.44/124.94 |-Branch two: % 180.44/124.94 | (2384) all_450_0_328 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2384) yields: % 180.44/124.94 | (2378) all_450_0_328 = 0 % 180.44/124.94 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.44/124.94 | (412) all_135_1_90 = all_0_9_9 % 180.44/124.94 | % 180.44/124.94 | From (412) and (232) follows: % 180.44/124.94 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.44/124.94 | (233) all_110_0_83 = 0 % 180.44/124.94 | % 180.44/124.94 | Equations (233) can reduce 209 to: % 180.44/124.94 | (173) $false % 180.44/124.94 | % 180.44/124.94 |-The branch is then unsatisfiable % 180.44/124.94 |-Branch two: % 180.44/124.94 | (2120) all_391_0_300 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2120) yields: % 180.44/124.94 | (2066) all_391_0_300 = 0 % 180.44/124.94 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.44/124.94 | (815) all_85_1_76 = all_0_9_9 % 180.44/124.94 | % 180.44/124.94 | From (815) and (182) follows: % 180.44/124.94 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.44/124.94 | % 180.44/124.94 +-Applying beta-rule and splitting (2054), into two cases. % 180.44/124.94 |-Branch one: % 180.44/124.94 | (2070) all_399_0_301 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2070) yields: % 180.44/124.94 | (2071) all_399_0_301 = 0 % 180.44/124.94 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.44/124.94 | (376) all_135_1_90 = all_0_3_3 % 180.44/124.94 | % 180.44/124.94 | From (376) and (231) follows: % 180.44/124.94 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 180.44/124.94 | % 180.44/124.94 +-Applying beta-rule and splitting (2306), into two cases. % 180.44/124.94 |-Branch one: % 180.44/124.94 | (2322) all_407_0_321 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2322) yields: % 180.44/124.94 | (2323) all_407_0_321 = 0 % 180.44/124.94 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.44/124.94 | (388) all_110_1_84 = all_0_6_6 % 180.44/124.94 | % 180.44/124.94 | From (388) and (210) follows: % 180.44/124.94 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.44/124.94 | % 180.44/124.94 +-Applying beta-rule and splitting (2311), into two cases. % 180.44/124.94 |-Branch one: % 180.44/124.94 | (2334) all_415_0_322 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.94 | % 180.44/124.94 | Applying alpha-rule on (2334) yields: % 180.44/124.94 | (2335) all_415_0_322 = 0 % 180.44/124.94 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.94 | % 180.44/124.94 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.44/124.95 | (393) all_181_1_103 = all_0_3_3 % 180.44/124.95 | % 180.44/124.95 | From (393) and (260) follows: % 180.44/124.95 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 180.44/124.95 | (261) all_135_0_89 = 0 % 180.44/124.95 | % 180.44/124.95 | Equations (261) can reduce 230 to: % 180.44/124.95 | (173) $false % 180.44/124.95 | % 180.44/124.95 |-The branch is then unsatisfiable % 180.44/124.95 |-Branch two: % 180.44/124.95 | (2341) all_415_0_322 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2341) yields: % 180.44/124.95 | (2335) all_415_0_322 = 0 % 180.44/124.95 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.44/124.95 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.44/124.95 | % 180.44/124.95 | Instantiating (400) with all_472_0_331 yields: % 180.44/124.95 | (2417) (all_472_0_331 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_472_0_331 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.44/124.95 | % 180.44/124.95 +-Applying beta-rule and splitting (2417), into two cases. % 180.44/124.95 |-Branch one: % 180.44/124.95 | (2418) all_472_0_331 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2418) yields: % 180.44/124.95 | (2419) all_472_0_331 = 0 % 180.44/124.95 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.44/124.95 | (417) all_181_1_103 = all_0_6_6 % 180.44/124.95 | % 180.44/124.95 | From (417) and (269) follows: % 180.44/124.95 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.44/124.95 | (233) all_110_0_83 = 0 % 180.44/124.95 | % 180.44/124.95 | Equations (233) can reduce 209 to: % 180.44/124.95 | (173) $false % 180.44/124.95 | % 180.44/124.95 |-The branch is then unsatisfiable % 180.44/124.95 |-Branch two: % 180.44/124.95 | (2425) all_472_0_331 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2425) yields: % 180.44/124.95 | (2419) all_472_0_331 = 0 % 180.44/124.95 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.44/124.95 | (424) all_181_1_103 = all_0_9_9 % 180.44/124.95 | % 180.44/124.95 | From (424) and (297) follows: % 180.44/124.95 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.95 | (212) all_85_0_75 = 0 % 180.44/124.95 | % 180.44/124.95 | Equations (212) can reduce 181 to: % 180.44/124.95 | (173) $false % 180.44/124.95 | % 180.44/124.95 |-The branch is then unsatisfiable % 180.44/124.95 |-Branch two: % 180.44/124.95 | (2329) all_407_0_321 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2329) yields: % 180.44/124.95 | (2323) all_407_0_321 = 0 % 180.44/124.95 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.44/124.95 | (431) all_110_1_84 = all_0_9_9 % 180.44/124.95 | % 180.44/124.95 | From (431) and (211) follows: % 180.44/124.95 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.95 | (212) all_85_0_75 = 0 % 180.44/124.95 | % 180.44/124.95 | Equations (212) can reduce 181 to: % 180.44/124.95 | (173) $false % 180.44/124.95 | % 180.44/124.95 |-The branch is then unsatisfiable % 180.44/124.95 |-Branch two: % 180.44/124.95 | (2077) all_399_0_301 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2077) yields: % 180.44/124.95 | (2071) all_399_0_301 = 0 % 180.44/124.95 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.44/124.95 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.44/124.95 | % 180.44/124.95 | Instantiating (383) with all_450_0_334 yields: % 180.44/124.95 | (2443) (all_450_0_334 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_450_0_334 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.44/124.95 | % 180.44/124.95 +-Applying beta-rule and splitting (2306), into two cases. % 180.44/124.95 |-Branch one: % 180.44/124.95 | (2322) all_407_0_321 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2322) yields: % 180.44/124.95 | (2323) all_407_0_321 = 0 % 180.44/124.95 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.44/124.95 | (388) all_110_1_84 = all_0_6_6 % 180.44/124.95 | % 180.44/124.95 | From (388) and (210) follows: % 180.44/124.95 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.44/124.95 | % 180.44/124.95 +-Applying beta-rule and splitting (2443), into two cases. % 180.44/124.95 |-Branch one: % 180.44/124.95 | (2449) all_450_0_334 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2449) yields: % 180.44/124.95 | (2450) all_450_0_334 = 0 % 180.44/124.95 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.44/124.95 | (405) all_135_1_90 = all_0_6_6 % 180.44/124.95 | % 180.44/124.95 | From (405) and (232) follows: % 180.44/124.95 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.44/124.95 | (233) all_110_0_83 = 0 % 180.44/124.95 | % 180.44/124.95 | Equations (233) can reduce 209 to: % 180.44/124.95 | (173) $false % 180.44/124.95 | % 180.44/124.95 |-The branch is then unsatisfiable % 180.44/124.95 |-Branch two: % 180.44/124.95 | (2456) all_450_0_334 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2456) yields: % 180.44/124.95 | (2450) all_450_0_334 = 0 % 180.44/124.95 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.44/124.95 | (412) all_135_1_90 = all_0_9_9 % 180.44/124.95 | % 180.44/124.95 | From (412) and (241) follows: % 180.44/124.95 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.95 | (212) all_85_0_75 = 0 % 180.44/124.95 | % 180.44/124.95 | Equations (212) can reduce 181 to: % 180.44/124.95 | (173) $false % 180.44/124.95 | % 180.44/124.95 |-The branch is then unsatisfiable % 180.44/124.95 |-Branch two: % 180.44/124.95 | (2329) all_407_0_321 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2329) yields: % 180.44/124.95 | (2323) all_407_0_321 = 0 % 180.44/124.95 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.44/124.95 | (431) all_110_1_84 = all_0_9_9 % 180.44/124.95 | % 180.44/124.95 | From (431) and (211) follows: % 180.44/124.95 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.95 | (212) all_85_0_75 = 0 % 180.44/124.95 | % 180.44/124.95 | Equations (212) can reduce 181 to: % 180.44/124.95 | (173) $false % 180.44/124.95 | % 180.44/124.95 |-The branch is then unsatisfiable % 180.44/124.95 |-Branch two: % 180.44/124.95 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (471) yields: % 180.44/124.95 | (369) all_356_0_135 = 0 % 180.44/124.95 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 180.44/124.95 | (474) all_181_1_103 = all_0_5_5 % 180.44/124.95 | % 180.44/124.95 | From (474) and (259) follows: % 180.44/124.95 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 180.44/124.95 | % 180.44/124.95 +-Applying beta-rule and splitting (1653), into two cases. % 180.44/124.95 |-Branch one: % 180.44/124.95 | (1784) all_375_0_269 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (1784) yields: % 180.44/124.95 | (1785) all_375_0_269 = 0 % 180.44/124.95 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 180.44/124.95 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 180.44/124.95 | % 180.44/124.95 | Instantiating (1787) with all_426_0_337 yields: % 180.44/124.95 | (2479) (all_426_0_337 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_426_0_337 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 180.44/124.95 | % 180.44/124.95 +-Applying beta-rule and splitting (2049), into two cases. % 180.44/124.95 |-Branch one: % 180.44/124.95 | (2065) all_391_0_300 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2065) yields: % 180.44/124.95 | (2066) all_391_0_300 = 0 % 180.44/124.95 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.44/124.95 | (760) all_85_1_76 = all_0_6_6 % 180.44/124.95 | % 180.44/124.95 | From (760) and (182) follows: % 180.44/124.95 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.44/124.95 | % 180.44/124.95 +-Applying beta-rule and splitting (2054), into two cases. % 180.44/124.95 |-Branch one: % 180.44/124.95 | (2070) all_399_0_301 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2070) yields: % 180.44/124.95 | (2071) all_399_0_301 = 0 % 180.44/124.95 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.44/124.95 | (376) all_135_1_90 = all_0_3_3 % 180.44/124.95 | % 180.44/124.95 | From (376) and (231) follows: % 180.44/124.95 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 180.44/124.95 | % 180.44/124.95 +-Applying beta-rule and splitting (2306), into two cases. % 180.44/124.95 |-Branch one: % 180.44/124.95 | (2322) all_407_0_321 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2322) yields: % 180.44/124.95 | (2323) all_407_0_321 = 0 % 180.44/124.95 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.44/124.95 | (388) all_110_1_84 = all_0_6_6 % 180.44/124.95 | % 180.44/124.95 | From (388) and (211) follows: % 180.44/124.95 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.95 | (212) all_85_0_75 = 0 % 180.44/124.95 | % 180.44/124.95 | Equations (212) can reduce 181 to: % 180.44/124.95 | (173) $false % 180.44/124.95 | % 180.44/124.95 |-The branch is then unsatisfiable % 180.44/124.95 |-Branch two: % 180.44/124.95 | (2329) all_407_0_321 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Applying alpha-rule on (2329) yields: % 180.44/124.95 | (2323) all_407_0_321 = 0 % 180.44/124.95 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.95 | % 180.44/124.95 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.44/124.95 | (431) all_110_1_84 = all_0_9_9 % 180.44/124.95 | % 180.44/124.95 | From (431) and (210) follows: % 180.44/124.95 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.44/124.96 | % 180.44/124.96 +-Applying beta-rule and splitting (2479), into two cases. % 180.44/124.96 |-Branch one: % 180.44/124.96 | (2502) all_426_0_337 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2502) yields: % 180.44/124.96 | (2503) all_426_0_337 = 0 % 180.44/124.96 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.44/124.96 | (1809) all_205_2_109 = all_0_3_3 % 180.44/124.96 | % 180.44/124.96 | From (1809) and (303) follows: % 180.44/124.96 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 180.44/124.96 | (261) all_135_0_89 = 0 % 180.44/124.96 | % 180.44/124.96 | Equations (261) can reduce 230 to: % 180.44/124.96 | (173) $false % 180.44/124.96 | % 180.44/124.96 |-The branch is then unsatisfiable % 180.44/124.96 |-Branch two: % 180.44/124.96 | (2509) all_426_0_337 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2509) yields: % 180.44/124.96 | (2503) all_426_0_337 = 0 % 180.44/124.96 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.44/124.96 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.44/124.96 | % 180.44/124.96 | Instantiating (1816) with all_475_0_339 yields: % 180.44/124.96 | (2513) (all_475_0_339 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_339 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.44/124.96 | % 180.44/124.96 +-Applying beta-rule and splitting (2513), into two cases. % 180.44/124.96 |-Branch one: % 180.44/124.96 | (2514) all_475_0_339 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2514) yields: % 180.44/124.96 | (2515) all_475_0_339 = 0 % 180.44/124.96 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.44/124.96 | (1833) all_205_2_109 = all_0_6_6 % 180.44/124.96 | % 180.44/124.96 | From (1833) and (315) follows: % 180.44/124.96 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.96 | (212) all_85_0_75 = 0 % 180.44/124.96 | % 180.44/124.96 | Equations (212) can reduce 181 to: % 180.44/124.96 | (173) $false % 180.44/124.96 | % 180.44/124.96 |-The branch is then unsatisfiable % 180.44/124.96 |-Branch two: % 180.44/124.96 | (2521) all_475_0_339 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2521) yields: % 180.44/124.96 | (2515) all_475_0_339 = 0 % 180.44/124.96 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.44/124.96 | (1840) all_205_2_109 = all_0_9_9 % 180.44/124.96 | % 180.44/124.96 | From (1840) and (309) follows: % 180.44/124.96 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.44/124.96 | (233) all_110_0_83 = 0 % 180.44/124.96 | % 180.44/124.96 | Equations (233) can reduce 209 to: % 180.44/124.96 | (173) $false % 180.44/124.96 | % 180.44/124.96 |-The branch is then unsatisfiable % 180.44/124.96 |-Branch two: % 180.44/124.96 | (2077) all_399_0_301 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2077) yields: % 180.44/124.96 | (2071) all_399_0_301 = 0 % 180.44/124.96 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.44/124.96 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.44/124.96 | % 180.44/124.96 | Instantiating (383) with all_453_0_341 yields: % 180.44/124.96 | (2532) (all_453_0_341 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_453_0_341 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.44/124.96 | % 180.44/124.96 +-Applying beta-rule and splitting (2306), into two cases. % 180.44/124.96 |-Branch one: % 180.44/124.96 | (2322) all_407_0_321 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2322) yields: % 180.44/124.96 | (2323) all_407_0_321 = 0 % 180.44/124.96 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.44/124.96 | (388) all_110_1_84 = all_0_6_6 % 180.44/124.96 | % 180.44/124.96 | From (388) and (211) follows: % 180.44/124.96 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.96 | (212) all_85_0_75 = 0 % 180.44/124.96 | % 180.44/124.96 | Equations (212) can reduce 181 to: % 180.44/124.96 | (173) $false % 180.44/124.96 | % 180.44/124.96 |-The branch is then unsatisfiable % 180.44/124.96 |-Branch two: % 180.44/124.96 | (2329) all_407_0_321 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2329) yields: % 180.44/124.96 | (2323) all_407_0_321 = 0 % 180.44/124.96 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.44/124.96 | (431) all_110_1_84 = all_0_9_9 % 180.44/124.96 | % 180.44/124.96 | From (431) and (210) follows: % 180.44/124.96 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.44/124.96 | % 180.44/124.96 +-Applying beta-rule and splitting (2532), into two cases. % 180.44/124.96 |-Branch one: % 180.44/124.96 | (2545) all_453_0_341 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2545) yields: % 180.44/124.96 | (2546) all_453_0_341 = 0 % 180.44/124.96 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.44/124.96 | (405) all_135_1_90 = all_0_6_6 % 180.44/124.96 | % 180.44/124.96 | From (405) and (241) follows: % 180.44/124.96 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.96 | (212) all_85_0_75 = 0 % 180.44/124.96 | % 180.44/124.96 | Equations (212) can reduce 181 to: % 180.44/124.96 | (173) $false % 180.44/124.96 | % 180.44/124.96 |-The branch is then unsatisfiable % 180.44/124.96 |-Branch two: % 180.44/124.96 | (2552) all_453_0_341 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2552) yields: % 180.44/124.96 | (2546) all_453_0_341 = 0 % 180.44/124.96 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.44/124.96 | (412) all_135_1_90 = all_0_9_9 % 180.44/124.96 | % 180.44/124.96 | From (412) and (232) follows: % 180.44/124.96 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.44/124.96 | (233) all_110_0_83 = 0 % 180.44/124.96 | % 180.44/124.96 | Equations (233) can reduce 209 to: % 180.44/124.96 | (173) $false % 180.44/124.96 | % 180.44/124.96 |-The branch is then unsatisfiable % 180.44/124.96 |-Branch two: % 180.44/124.96 | (2120) all_391_0_300 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2120) yields: % 180.44/124.96 | (2066) all_391_0_300 = 0 % 180.44/124.96 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.44/124.96 | (815) all_85_1_76 = all_0_9_9 % 180.44/124.96 | % 180.44/124.96 | From (815) and (182) follows: % 180.44/124.96 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.44/124.96 | % 180.44/124.96 +-Applying beta-rule and splitting (2054), into two cases. % 180.44/124.96 |-Branch one: % 180.44/124.96 | (2070) all_399_0_301 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2070) yields: % 180.44/124.96 | (2071) all_399_0_301 = 0 % 180.44/124.96 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.44/124.96 | (376) all_135_1_90 = all_0_3_3 % 180.44/124.96 | % 180.44/124.96 | From (376) and (231) follows: % 180.44/124.96 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 180.44/124.96 | % 180.44/124.96 +-Applying beta-rule and splitting (2306), into two cases. % 180.44/124.96 |-Branch one: % 180.44/124.96 | (2322) all_407_0_321 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2322) yields: % 180.44/124.96 | (2323) all_407_0_321 = 0 % 180.44/124.96 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.44/124.96 | (388) all_110_1_84 = all_0_6_6 % 180.44/124.96 | % 180.44/124.96 | From (388) and (210) follows: % 180.44/124.96 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.44/124.96 | % 180.44/124.96 +-Applying beta-rule and splitting (2479), into two cases. % 180.44/124.96 |-Branch one: % 180.44/124.96 | (2502) all_426_0_337 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2502) yields: % 180.44/124.96 | (2503) all_426_0_337 = 0 % 180.44/124.96 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.44/124.96 | (1809) all_205_2_109 = all_0_3_3 % 180.44/124.96 | % 180.44/124.96 | From (1809) and (303) follows: % 180.44/124.96 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 180.44/124.96 | (261) all_135_0_89 = 0 % 180.44/124.96 | % 180.44/124.96 | Equations (261) can reduce 230 to: % 180.44/124.96 | (173) $false % 180.44/124.96 | % 180.44/124.96 |-The branch is then unsatisfiable % 180.44/124.96 |-Branch two: % 180.44/124.96 | (2509) all_426_0_337 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.96 | % 180.44/124.96 | Applying alpha-rule on (2509) yields: % 180.44/124.96 | (2503) all_426_0_337 = 0 % 180.44/124.96 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.96 | % 180.44/124.96 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.44/124.96 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.44/124.97 | % 180.44/124.97 | Instantiating (1816) with all_475_0_355 yields: % 180.44/124.97 | (2585) (all_475_0_355 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_355 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.44/124.97 | % 180.44/124.97 +-Applying beta-rule and splitting (2585), into two cases. % 180.44/124.97 |-Branch one: % 180.44/124.97 | (2586) all_475_0_355 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (2586) yields: % 180.44/124.97 | (2587) all_475_0_355 = 0 % 180.44/124.97 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.44/124.97 | (1833) all_205_2_109 = all_0_6_6 % 180.44/124.97 | % 180.44/124.97 | From (1833) and (309) follows: % 180.44/124.97 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.44/124.97 | (233) all_110_0_83 = 0 % 180.44/124.97 | % 180.44/124.97 | Equations (233) can reduce 209 to: % 180.44/124.97 | (173) $false % 180.44/124.97 | % 180.44/124.97 |-The branch is then unsatisfiable % 180.44/124.97 |-Branch two: % 180.44/124.97 | (2593) all_475_0_355 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (2593) yields: % 180.44/124.97 | (2587) all_475_0_355 = 0 % 180.44/124.97 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.44/124.97 | (1840) all_205_2_109 = all_0_9_9 % 180.44/124.97 | % 180.44/124.97 | From (1840) and (315) follows: % 180.44/124.97 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.97 | (212) all_85_0_75 = 0 % 180.44/124.97 | % 180.44/124.97 | Equations (212) can reduce 181 to: % 180.44/124.97 | (173) $false % 180.44/124.97 | % 180.44/124.97 |-The branch is then unsatisfiable % 180.44/124.97 |-Branch two: % 180.44/124.97 | (2329) all_407_0_321 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (2329) yields: % 180.44/124.97 | (2323) all_407_0_321 = 0 % 180.44/124.97 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.44/124.97 | (431) all_110_1_84 = all_0_9_9 % 180.44/124.97 | % 180.44/124.97 | From (431) and (211) follows: % 180.44/124.97 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.97 | (212) all_85_0_75 = 0 % 180.44/124.97 | % 180.44/124.97 | Equations (212) can reduce 181 to: % 180.44/124.97 | (173) $false % 180.44/124.97 | % 180.44/124.97 |-The branch is then unsatisfiable % 180.44/124.97 |-Branch two: % 180.44/124.97 | (2077) all_399_0_301 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (2077) yields: % 180.44/124.97 | (2071) all_399_0_301 = 0 % 180.44/124.97 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.44/124.97 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.44/124.97 | % 180.44/124.97 | Instantiating (383) with all_453_0_357 yields: % 180.44/124.97 | (2611) (all_453_0_357 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_453_0_357 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.44/124.97 | % 180.44/124.97 +-Applying beta-rule and splitting (2306), into two cases. % 180.44/124.97 |-Branch one: % 180.44/124.97 | (2322) all_407_0_321 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (2322) yields: % 180.44/124.97 | (2323) all_407_0_321 = 0 % 180.44/124.97 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.44/124.97 | (388) all_110_1_84 = all_0_6_6 % 180.44/124.97 | % 180.44/124.97 | From (388) and (210) follows: % 180.44/124.97 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.44/124.97 | % 180.44/124.97 +-Applying beta-rule and splitting (2611), into two cases. % 180.44/124.97 |-Branch one: % 180.44/124.97 | (2617) all_453_0_357 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (2617) yields: % 180.44/124.97 | (2618) all_453_0_357 = 0 % 180.44/124.97 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.44/124.97 | (405) all_135_1_90 = all_0_6_6 % 180.44/124.97 | % 180.44/124.97 | From (405) and (232) follows: % 180.44/124.97 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.44/124.97 | (233) all_110_0_83 = 0 % 180.44/124.97 | % 180.44/124.97 | Equations (233) can reduce 209 to: % 180.44/124.97 | (173) $false % 180.44/124.97 | % 180.44/124.97 |-The branch is then unsatisfiable % 180.44/124.97 |-Branch two: % 180.44/124.97 | (2624) all_453_0_357 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (2624) yields: % 180.44/124.97 | (2618) all_453_0_357 = 0 % 180.44/124.97 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.44/124.97 | (412) all_135_1_90 = all_0_9_9 % 180.44/124.97 | % 180.44/124.97 | From (412) and (241) follows: % 180.44/124.97 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.97 | (212) all_85_0_75 = 0 % 180.44/124.97 | % 180.44/124.97 | Equations (212) can reduce 181 to: % 180.44/124.97 | (173) $false % 180.44/124.97 | % 180.44/124.97 |-The branch is then unsatisfiable % 180.44/124.97 |-Branch two: % 180.44/124.97 | (2329) all_407_0_321 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (2329) yields: % 180.44/124.97 | (2323) all_407_0_321 = 0 % 180.44/124.97 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.44/124.97 | (431) all_110_1_84 = all_0_9_9 % 180.44/124.97 | % 180.44/124.97 | From (431) and (211) follows: % 180.44/124.97 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.97 | (212) all_85_0_75 = 0 % 180.44/124.97 | % 180.44/124.97 | Equations (212) can reduce 181 to: % 180.44/124.97 | (173) $false % 180.44/124.97 | % 180.44/124.97 |-The branch is then unsatisfiable % 180.44/124.97 |-Branch two: % 180.44/124.97 | (1887) all_375_0_269 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (1887) yields: % 180.44/124.97 | (1785) all_375_0_269 = 0 % 180.44/124.97 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 180.44/124.97 | (1890) all_205_2_109 = all_0_5_5 % 180.44/124.97 | % 180.44/124.97 | From (1890) and (296) follows: % 180.44/124.97 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 180.44/124.97 | (288) all_181_0_102 = 0 % 180.44/124.97 | % 180.44/124.97 | Equations (288) can reduce 258 to: % 180.44/124.97 | (173) $false % 180.44/124.97 | % 180.44/124.97 |-The branch is then unsatisfiable % 180.44/124.97 |-Branch two: % 180.44/124.97 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (586) yields: % 180.44/124.97 | (352) all_340_0_133 = 0 % 180.44/124.97 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 180.44/124.97 | (589) all_135_1_90 = all_0_5_5 % 180.44/124.97 | % 180.44/124.97 | From (589) and (231) follows: % 180.44/124.97 | (590) mem(all_0_5_5, all_99_1_80) = all_135_0_89 % 180.44/124.97 | % 180.44/124.97 +-Applying beta-rule and splitting (335), into two cases. % 180.44/124.97 |-Branch one: % 180.44/124.97 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (356) yields: % 180.44/124.97 | (357) all_348_0_134 = 0 % 180.44/124.97 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 180.44/124.97 | (359) all_110_1_84 = all_0_3_3 % 180.44/124.97 | % 180.44/124.97 | From (359) and (210) follows: % 180.44/124.97 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 180.44/124.97 | % 180.44/124.97 +-Applying beta-rule and splitting (340), into two cases. % 180.44/124.97 |-Branch one: % 180.44/124.97 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (368) yields: % 180.44/124.97 | (369) all_356_0_135 = 0 % 180.44/124.97 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 180.44/124.97 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 180.44/124.97 | % 180.44/124.97 | Instantiating (371) with all_421_0_371 yields: % 180.44/124.97 | (2659) (all_421_0_371 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_421_0_371 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 180.44/124.97 | % 180.44/124.97 +-Applying beta-rule and splitting (1653), into two cases. % 180.44/124.97 |-Branch one: % 180.44/124.97 | (1784) all_375_0_269 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (1784) yields: % 180.44/124.97 | (1785) all_375_0_269 = 0 % 180.44/124.97 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 180.44/124.97 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 180.44/124.97 | % 180.44/124.97 | Instantiating (1787) with all_429_0_372 yields: % 180.44/124.97 | (2664) (all_429_0_372 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_372 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 180.44/124.97 | % 180.44/124.97 +-Applying beta-rule and splitting (2049), into two cases. % 180.44/124.97 |-Branch one: % 180.44/124.97 | (2065) all_391_0_300 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.97 | % 180.44/124.97 | Applying alpha-rule on (2065) yields: % 180.44/124.97 | (2066) all_391_0_300 = 0 % 180.44/124.97 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.44/124.97 | % 180.44/124.97 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.44/124.97 | (760) all_85_1_76 = all_0_6_6 % 180.44/124.97 | % 180.44/124.97 | From (760) and (182) follows: % 180.44/124.97 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.44/124.97 | % 180.44/124.97 +-Applying beta-rule and splitting (2659), into two cases. % 180.44/124.97 |-Branch one: % 180.44/124.98 | (2670) all_421_0_371 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2670) yields: % 180.44/124.98 | (2671) all_421_0_371 = 0 % 180.44/124.98 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.44/124.98 | (393) all_181_1_103 = all_0_3_3 % 180.44/124.98 | % 180.44/124.98 | From (393) and (269) follows: % 180.44/124.98 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.98 | (233) all_110_0_83 = 0 % 180.44/124.98 | % 180.44/124.98 | Equations (233) can reduce 209 to: % 180.44/124.98 | (173) $false % 180.44/124.98 | % 180.44/124.98 |-The branch is then unsatisfiable % 180.44/124.98 |-Branch two: % 180.44/124.98 | (2677) all_421_0_371 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2677) yields: % 180.44/124.98 | (2671) all_421_0_371 = 0 % 180.44/124.98 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.44/124.98 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.44/124.98 | % 180.44/124.98 | Instantiating (400) with all_456_0_374 yields: % 180.44/124.98 | (2681) (all_456_0_374 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_374 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.44/124.98 | % 180.44/124.98 +-Applying beta-rule and splitting (2664), into two cases. % 180.44/124.98 |-Branch one: % 180.44/124.98 | (2682) all_429_0_372 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2682) yields: % 180.44/124.98 | (2683) all_429_0_372 = 0 % 180.44/124.98 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.44/124.98 | (1809) all_205_2_109 = all_0_3_3 % 180.44/124.98 | % 180.44/124.98 | From (1809) and (309) follows: % 180.44/124.98 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.98 | (233) all_110_0_83 = 0 % 180.44/124.98 | % 180.44/124.98 | Equations (233) can reduce 209 to: % 180.44/124.98 | (173) $false % 180.44/124.98 | % 180.44/124.98 |-The branch is then unsatisfiable % 180.44/124.98 |-Branch two: % 180.44/124.98 | (2689) all_429_0_372 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2689) yields: % 180.44/124.98 | (2683) all_429_0_372 = 0 % 180.44/124.98 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.44/124.98 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.44/124.98 | % 180.44/124.98 | Instantiating (1816) with all_464_0_375 yields: % 180.44/124.98 | (2693) (all_464_0_375 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_375 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.44/124.98 | % 180.44/124.98 +-Applying beta-rule and splitting (2681), into two cases. % 180.44/124.98 |-Branch one: % 180.44/124.98 | (2694) all_456_0_374 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2694) yields: % 180.44/124.98 | (2695) all_456_0_374 = 0 % 180.44/124.98 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.44/124.98 | (417) all_181_1_103 = all_0_6_6 % 180.44/124.98 | % 180.44/124.98 | From (417) and (297) follows: % 180.44/124.98 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.98 | (212) all_85_0_75 = 0 % 180.44/124.98 | % 180.44/124.98 | Equations (212) can reduce 181 to: % 180.44/124.98 | (173) $false % 180.44/124.98 | % 180.44/124.98 |-The branch is then unsatisfiable % 180.44/124.98 |-Branch two: % 180.44/124.98 | (2701) all_456_0_374 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2701) yields: % 180.44/124.98 | (2695) all_456_0_374 = 0 % 180.44/124.98 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.44/124.98 | (424) all_181_1_103 = all_0_9_9 % 180.44/124.98 | % 180.44/124.98 | From (424) and (259) follows: % 180.44/124.98 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 180.44/124.98 | % 180.44/124.98 +-Applying beta-rule and splitting (2693), into two cases. % 180.44/124.98 |-Branch one: % 180.44/124.98 | (2706) all_464_0_375 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2706) yields: % 180.44/124.98 | (2707) all_464_0_375 = 0 % 180.44/124.98 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.44/124.98 | (1833) all_205_2_109 = all_0_6_6 % 180.44/124.98 | % 180.44/124.98 | From (1833) and (315) follows: % 180.44/124.98 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.44/124.98 | (212) all_85_0_75 = 0 % 180.44/124.98 | % 180.44/124.98 | Equations (212) can reduce 181 to: % 180.44/124.98 | (173) $false % 180.44/124.98 | % 180.44/124.98 |-The branch is then unsatisfiable % 180.44/124.98 |-Branch two: % 180.44/124.98 | (2713) all_464_0_375 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2713) yields: % 180.44/124.98 | (2707) all_464_0_375 = 0 % 180.44/124.98 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.44/124.98 | (1840) all_205_2_109 = all_0_9_9 % 180.44/124.98 | % 180.44/124.98 | From (1840) and (296) follows: % 180.44/124.98 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 180.44/124.98 | (288) all_181_0_102 = 0 % 180.44/124.98 | % 180.44/124.98 | Equations (288) can reduce 258 to: % 180.44/124.98 | (173) $false % 180.44/124.98 | % 180.44/124.98 |-The branch is then unsatisfiable % 180.44/124.98 |-Branch two: % 180.44/124.98 | (2120) all_391_0_300 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2120) yields: % 180.44/124.98 | (2066) all_391_0_300 = 0 % 180.44/124.98 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.44/124.98 | (815) all_85_1_76 = all_0_9_9 % 180.44/124.98 | % 180.44/124.98 | From (815) and (182) follows: % 180.44/124.98 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.44/124.98 | % 180.44/124.98 +-Applying beta-rule and splitting (2659), into two cases. % 180.44/124.98 |-Branch one: % 180.44/124.98 | (2670) all_421_0_371 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2670) yields: % 180.44/124.98 | (2671) all_421_0_371 = 0 % 180.44/124.98 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.44/124.98 | (393) all_181_1_103 = all_0_3_3 % 180.44/124.98 | % 180.44/124.98 | From (393) and (269) follows: % 180.44/124.98 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.98 | (233) all_110_0_83 = 0 % 180.44/124.98 | % 180.44/124.98 | Equations (233) can reduce 209 to: % 180.44/124.98 | (173) $false % 180.44/124.98 | % 180.44/124.98 |-The branch is then unsatisfiable % 180.44/124.98 |-Branch two: % 180.44/124.98 | (2677) all_421_0_371 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2677) yields: % 180.44/124.98 | (2671) all_421_0_371 = 0 % 180.44/124.98 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.44/124.98 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.44/124.98 | % 180.44/124.98 | Instantiating (400) with all_456_0_377 yields: % 180.44/124.98 | (2736) (all_456_0_377 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_377 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.44/124.98 | % 180.44/124.98 +-Applying beta-rule and splitting (2664), into two cases. % 180.44/124.98 |-Branch one: % 180.44/124.98 | (2682) all_429_0_372 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2682) yields: % 180.44/124.98 | (2683) all_429_0_372 = 0 % 180.44/124.98 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.44/124.98 | (1809) all_205_2_109 = all_0_3_3 % 180.44/124.98 | % 180.44/124.98 | From (1809) and (309) follows: % 180.44/124.98 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.44/124.98 | (233) all_110_0_83 = 0 % 180.44/124.98 | % 180.44/124.98 | Equations (233) can reduce 209 to: % 180.44/124.98 | (173) $false % 180.44/124.98 | % 180.44/124.98 |-The branch is then unsatisfiable % 180.44/124.98 |-Branch two: % 180.44/124.98 | (2689) all_429_0_372 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.98 | % 180.44/124.98 | Applying alpha-rule on (2689) yields: % 180.44/124.98 | (2683) all_429_0_372 = 0 % 180.44/124.98 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.44/124.98 | % 180.44/124.98 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.44/124.98 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.44/124.98 | % 180.44/124.98 | Instantiating (1816) with all_464_0_378 yields: % 180.44/124.98 | (2748) (all_464_0_378 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_378 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.44/124.98 | % 180.44/124.99 +-Applying beta-rule and splitting (2736), into two cases. % 180.44/124.99 |-Branch one: % 180.44/124.99 | (2749) all_456_0_377 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.99 | % 180.44/124.99 | Applying alpha-rule on (2749) yields: % 180.44/124.99 | (2750) all_456_0_377 = 0 % 180.44/124.99 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.44/124.99 | % 180.44/124.99 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.44/124.99 | (417) all_181_1_103 = all_0_6_6 % 180.44/124.99 | % 180.44/124.99 | From (417) and (259) follows: % 180.44/124.99 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 180.44/124.99 | % 180.44/124.99 +-Applying beta-rule and splitting (2748), into two cases. % 180.44/124.99 |-Branch one: % 180.44/124.99 | (2754) all_464_0_378 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.99 | % 180.44/124.99 | Applying alpha-rule on (2754) yields: % 180.44/124.99 | (2755) all_464_0_378 = 0 % 180.44/124.99 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.44/124.99 | % 180.44/124.99 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.44/124.99 | (1833) all_205_2_109 = all_0_6_6 % 180.44/124.99 | % 180.44/124.99 | From (1833) and (296) follows: % 180.44/124.99 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 180.44/124.99 | % 180.44/124.99 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 180.44/124.99 | (288) all_181_0_102 = 0 % 180.44/124.99 | % 180.44/124.99 | Equations (288) can reduce 258 to: % 180.44/124.99 | (173) $false % 180.44/124.99 | % 180.44/124.99 |-The branch is then unsatisfiable % 180.44/124.99 |-Branch two: % 180.44/124.99 | (2761) all_464_0_378 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.99 | % 180.44/124.99 | Applying alpha-rule on (2761) yields: % 180.44/124.99 | (2755) all_464_0_378 = 0 % 180.44/124.99 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.44/124.99 | % 180.44/124.99 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.44/124.99 | (1840) all_205_2_109 = all_0_9_9 % 180.44/124.99 | % 180.44/124.99 | From (1840) and (315) follows: % 180.44/124.99 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.44/124.99 | % 180.44/124.99 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.44/124.99 | (212) all_85_0_75 = 0 % 180.44/124.99 | % 180.44/124.99 | Equations (212) can reduce 181 to: % 180.44/124.99 | (173) $false % 180.44/124.99 | % 180.44/124.99 |-The branch is then unsatisfiable % 180.44/124.99 |-Branch two: % 180.44/124.99 | (2768) all_456_0_377 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.44/124.99 | % 180.44/124.99 | Applying alpha-rule on (2768) yields: % 180.44/124.99 | (2750) all_456_0_377 = 0 % 180.81/124.99 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.81/124.99 | % 180.81/124.99 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.81/124.99 | (424) all_181_1_103 = all_0_9_9 % 180.81/124.99 | % 180.81/124.99 | From (424) and (297) follows: % 180.81/124.99 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.81/124.99 | % 180.81/124.99 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.81/124.99 | (212) all_85_0_75 = 0 % 180.81/124.99 | % 180.81/124.99 | Equations (212) can reduce 181 to: % 180.81/124.99 | (173) $false % 180.81/124.99 | % 180.81/124.99 |-The branch is then unsatisfiable % 180.81/124.99 |-Branch two: % 180.81/124.99 | (1887) all_375_0_269 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 180.81/124.99 | % 180.81/124.99 | Applying alpha-rule on (1887) yields: % 180.81/124.99 | (1785) all_375_0_269 = 0 % 180.81/124.99 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 180.81/124.99 | % 180.81/124.99 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 180.81/124.99 | (1890) all_205_2_109 = all_0_5_5 % 180.81/124.99 | % 180.81/124.99 | From (1890) and (303) follows: % 180.81/124.99 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.81/124.99 | % 180.81/124.99 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.81/124.99 | (261) all_135_0_89 = 0 % 180.81/124.99 | % 180.81/124.99 | Equations (261) can reduce 230 to: % 180.81/124.99 | (173) $false % 180.81/124.99 | % 180.81/124.99 |-The branch is then unsatisfiable % 180.81/124.99 |-Branch two: % 180.81/124.99 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 180.81/124.99 | % 180.81/124.99 | Applying alpha-rule on (471) yields: % 180.81/124.99 | (369) all_356_0_135 = 0 % 180.81/124.99 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 180.81/124.99 | % 180.81/124.99 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 180.82/124.99 | (474) all_181_1_103 = all_0_5_5 % 180.82/124.99 | % 180.82/124.99 | From (474) and (260) follows: % 180.82/124.99 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.82/124.99 | (261) all_135_0_89 = 0 % 180.82/124.99 | % 180.82/124.99 | Equations (261) can reduce 230 to: % 180.82/124.99 | (173) $false % 180.82/124.99 | % 180.82/124.99 |-The branch is then unsatisfiable % 180.82/124.99 |-Branch two: % 180.82/124.99 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 180.82/124.99 | % 180.82/124.99 | Applying alpha-rule on (363) yields: % 180.82/124.99 | (357) all_348_0_134 = 0 % 180.82/124.99 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 180.82/124.99 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 180.82/124.99 | % 180.82/124.99 | Instantiating (366) with all_410_0_380 yields: % 180.82/124.99 | (2793) (all_410_0_380 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_410_0_380 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 180.82/124.99 | % 180.82/124.99 +-Applying beta-rule and splitting (340), into two cases. % 180.82/124.99 |-Branch one: % 180.82/124.99 | (368) all_356_0_135 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 180.82/124.99 | % 180.82/124.99 | Applying alpha-rule on (368) yields: % 180.82/124.99 | (369) all_356_0_135 = 0 % 180.82/124.99 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 180.82/124.99 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 180.82/124.99 | % 180.82/124.99 | Instantiating (371) with all_418_0_381 yields: % 180.82/124.99 | (2798) (all_418_0_381 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_418_0_381 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 180.82/124.99 | % 180.82/124.99 +-Applying beta-rule and splitting (1653), into two cases. % 180.82/124.99 |-Branch one: % 180.82/124.99 | (1784) all_375_0_269 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 180.82/124.99 | % 180.82/124.99 | Applying alpha-rule on (1784) yields: % 180.82/124.99 | (1785) all_375_0_269 = 0 % 180.82/124.99 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 180.82/124.99 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 180.82/124.99 | % 180.82/124.99 | Instantiating (1787) with all_426_0_382 yields: % 180.82/124.99 | (2803) (all_426_0_382 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_426_0_382 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 180.82/124.99 | % 180.82/124.99 +-Applying beta-rule and splitting (2049), into two cases. % 180.82/124.99 |-Branch one: % 180.82/124.99 | (2065) all_391_0_300 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.82/124.99 | % 180.82/124.99 | Applying alpha-rule on (2065) yields: % 180.82/124.99 | (2066) all_391_0_300 = 0 % 180.82/124.99 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.82/124.99 | (760) all_85_1_76 = all_0_6_6 % 180.82/124.99 | % 180.82/124.99 | From (760) and (182) follows: % 180.82/124.99 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.82/124.99 | % 180.82/124.99 +-Applying beta-rule and splitting (2793), into two cases. % 180.82/124.99 |-Branch one: % 180.82/124.99 | (2809) all_410_0_380 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.82/124.99 | % 180.82/124.99 | Applying alpha-rule on (2809) yields: % 180.82/124.99 | (2810) all_410_0_380 = 0 % 180.82/124.99 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.82/124.99 | (388) all_110_1_84 = all_0_6_6 % 180.82/124.99 | % 180.82/124.99 | From (388) and (211) follows: % 180.82/124.99 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.82/124.99 | (212) all_85_0_75 = 0 % 180.82/124.99 | % 180.82/124.99 | Equations (212) can reduce 181 to: % 180.82/124.99 | (173) $false % 180.82/124.99 | % 180.82/124.99 |-The branch is then unsatisfiable % 180.82/124.99 |-Branch two: % 180.82/124.99 | (2816) all_410_0_380 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.82/124.99 | % 180.82/124.99 | Applying alpha-rule on (2816) yields: % 180.82/124.99 | (2810) all_410_0_380 = 0 % 180.82/124.99 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.82/124.99 | (431) all_110_1_84 = all_0_9_9 % 180.82/124.99 | % 180.82/124.99 | From (431) and (210) follows: % 180.82/124.99 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.82/124.99 | % 180.82/124.99 +-Applying beta-rule and splitting (2798), into two cases. % 180.82/124.99 |-Branch one: % 180.82/124.99 | (2821) all_418_0_381 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.82/124.99 | % 180.82/124.99 | Applying alpha-rule on (2821) yields: % 180.82/124.99 | (2822) all_418_0_381 = 0 % 180.82/124.99 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.82/124.99 | (393) all_181_1_103 = all_0_3_3 % 180.82/124.99 | % 180.82/124.99 | From (393) and (259) follows: % 180.82/124.99 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 180.82/124.99 | % 180.82/124.99 +-Applying beta-rule and splitting (2803), into two cases. % 180.82/124.99 |-Branch one: % 180.82/124.99 | (2826) all_426_0_382 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.82/124.99 | % 180.82/124.99 | Applying alpha-rule on (2826) yields: % 180.82/124.99 | (2827) all_426_0_382 = 0 % 180.82/124.99 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.82/124.99 | % 180.82/124.99 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.82/124.99 | (1809) all_205_2_109 = all_0_3_3 % 180.82/124.99 | % 180.82/124.99 | From (1809) and (296) follows: % 180.82/124.99 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 180.82/125.00 | % 180.82/125.00 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 180.82/125.00 | (288) all_181_0_102 = 0 % 180.82/125.00 | % 180.82/125.00 | Equations (288) can reduce 258 to: % 180.82/125.00 | (173) $false % 180.82/125.00 | % 180.82/125.00 |-The branch is then unsatisfiable % 180.82/125.00 |-Branch two: % 180.82/125.00 | (2833) all_426_0_382 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.82/125.00 | % 180.82/125.00 | Applying alpha-rule on (2833) yields: % 180.82/125.00 | (2827) all_426_0_382 = 0 % 180.82/125.00 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.82/125.00 | % 180.82/125.00 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.82/125.00 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.82/125.00 | % 180.82/125.00 | Instantiating (1816) with all_475_0_384 yields: % 180.82/125.00 | (2837) (all_475_0_384 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_384 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.82/125.00 | % 180.82/125.00 +-Applying beta-rule and splitting (2837), into two cases. % 180.82/125.00 |-Branch one: % 180.82/125.00 | (2838) all_475_0_384 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.82/125.00 | % 180.82/125.00 | Applying alpha-rule on (2838) yields: % 180.82/125.00 | (2839) all_475_0_384 = 0 % 180.82/125.00 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.82/125.00 | % 180.82/125.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.82/125.00 | (1833) all_205_2_109 = all_0_6_6 % 180.82/125.00 | % 180.82/125.00 | From (1833) and (315) follows: % 180.82/125.00 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.82/125.00 | % 180.82/125.00 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.82/125.00 | (212) all_85_0_75 = 0 % 180.82/125.00 | % 180.82/125.00 | Equations (212) can reduce 181 to: % 180.82/125.00 | (173) $false % 180.82/125.00 | % 180.82/125.00 |-The branch is then unsatisfiable % 180.82/125.00 |-Branch two: % 180.82/125.00 | (2845) all_475_0_384 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.82/125.00 | % 180.82/125.00 | Applying alpha-rule on (2845) yields: % 180.82/125.00 | (2839) all_475_0_384 = 0 % 180.82/125.00 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.82/125.00 | % 180.82/125.00 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.82/125.00 | (1840) all_205_2_109 = all_0_9_9 % 180.82/125.00 | % 180.82/125.00 | From (1840) and (309) follows: % 180.82/125.00 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.82/125.00 | % 180.82/125.00 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.82/125.00 | (233) all_110_0_83 = 0 % 180.82/125.00 | % 180.82/125.00 | Equations (233) can reduce 209 to: % 180.82/125.00 | (173) $false % 180.82/125.00 | % 180.82/125.00 |-The branch is then unsatisfiable % 180.82/125.00 |-Branch two: % 180.82/125.00 | (2852) all_418_0_381 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.82/125.00 | % 180.82/125.00 | Applying alpha-rule on (2852) yields: % 180.82/125.00 | (2822) all_418_0_381 = 0 % 180.82/125.00 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.82/125.00 | % 180.82/125.00 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.82/125.00 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.82/125.00 | % 180.82/125.00 | Instantiating (400) with all_464_0_386 yields: % 180.82/125.00 | (2856) (all_464_0_386 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_464_0_386 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.82/125.00 | % 180.82/125.00 +-Applying beta-rule and splitting (2856), into two cases. % 180.82/125.00 |-Branch one: % 180.82/125.00 | (2857) all_464_0_386 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.82/125.00 | % 180.82/125.00 | Applying alpha-rule on (2857) yields: % 180.82/125.00 | (2858) all_464_0_386 = 0 % 180.85/125.00 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.85/125.00 | (417) all_181_1_103 = all_0_6_6 % 180.85/125.00 | % 180.85/125.00 | From (417) and (297) follows: % 180.85/125.00 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.85/125.00 | (212) all_85_0_75 = 0 % 180.85/125.00 | % 180.85/125.00 | Equations (212) can reduce 181 to: % 180.85/125.00 | (173) $false % 180.85/125.00 | % 180.85/125.00 |-The branch is then unsatisfiable % 180.85/125.00 |-Branch two: % 180.85/125.00 | (2864) all_464_0_386 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.85/125.00 | % 180.85/125.00 | Applying alpha-rule on (2864) yields: % 180.85/125.00 | (2858) all_464_0_386 = 0 % 180.85/125.00 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.85/125.00 | (424) all_181_1_103 = all_0_9_9 % 180.85/125.00 | % 180.85/125.00 | From (424) and (269) follows: % 180.85/125.00 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.85/125.00 | (233) all_110_0_83 = 0 % 180.85/125.00 | % 180.85/125.00 | Equations (233) can reduce 209 to: % 180.85/125.00 | (173) $false % 180.85/125.00 | % 180.85/125.00 |-The branch is then unsatisfiable % 180.85/125.00 |-Branch two: % 180.85/125.00 | (2120) all_391_0_300 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.85/125.00 | % 180.85/125.00 | Applying alpha-rule on (2120) yields: % 180.85/125.00 | (2066) all_391_0_300 = 0 % 180.85/125.00 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.85/125.00 | (815) all_85_1_76 = all_0_9_9 % 180.85/125.00 | % 180.85/125.00 | From (815) and (182) follows: % 180.85/125.00 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.85/125.00 | % 180.85/125.00 +-Applying beta-rule and splitting (2793), into two cases. % 180.85/125.00 |-Branch one: % 180.85/125.00 | (2809) all_410_0_380 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.85/125.00 | % 180.85/125.00 | Applying alpha-rule on (2809) yields: % 180.85/125.00 | (2810) all_410_0_380 = 0 % 180.85/125.00 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.85/125.00 | (388) all_110_1_84 = all_0_6_6 % 180.85/125.00 | % 180.85/125.00 | From (388) and (210) follows: % 180.85/125.00 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.85/125.00 | % 180.85/125.00 +-Applying beta-rule and splitting (2798), into two cases. % 180.85/125.00 |-Branch one: % 180.85/125.00 | (2821) all_418_0_381 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 180.85/125.00 | % 180.85/125.00 | Applying alpha-rule on (2821) yields: % 180.85/125.00 | (2822) all_418_0_381 = 0 % 180.85/125.00 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 180.85/125.00 | (393) all_181_1_103 = all_0_3_3 % 180.85/125.00 | % 180.85/125.00 | From (393) and (259) follows: % 180.85/125.00 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 180.85/125.00 | % 180.85/125.00 +-Applying beta-rule and splitting (2803), into two cases. % 180.85/125.00 |-Branch one: % 180.85/125.00 | (2826) all_426_0_382 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.85/125.00 | % 180.85/125.00 | Applying alpha-rule on (2826) yields: % 180.85/125.00 | (2827) all_426_0_382 = 0 % 180.85/125.00 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.85/125.00 | (1809) all_205_2_109 = all_0_3_3 % 180.85/125.00 | % 180.85/125.00 | From (1809) and (296) follows: % 180.85/125.00 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 180.85/125.00 | (288) all_181_0_102 = 0 % 180.85/125.00 | % 180.85/125.00 | Equations (288) can reduce 258 to: % 180.85/125.00 | (173) $false % 180.85/125.00 | % 180.85/125.00 |-The branch is then unsatisfiable % 180.85/125.00 |-Branch two: % 180.85/125.00 | (2833) all_426_0_382 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.85/125.00 | % 180.85/125.00 | Applying alpha-rule on (2833) yields: % 180.85/125.00 | (2827) all_426_0_382 = 0 % 180.85/125.00 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.85/125.00 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.85/125.00 | % 180.85/125.00 | Instantiating (1816) with all_475_0_400 yields: % 180.85/125.00 | (2897) (all_475_0_400 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_400 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.85/125.00 | % 180.85/125.00 +-Applying beta-rule and splitting (2897), into two cases. % 180.85/125.00 |-Branch one: % 180.85/125.00 | (2898) all_475_0_400 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.85/125.00 | % 180.85/125.00 | Applying alpha-rule on (2898) yields: % 180.85/125.00 | (2899) all_475_0_400 = 0 % 180.85/125.00 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.85/125.00 | (1833) all_205_2_109 = all_0_6_6 % 180.85/125.00 | % 180.85/125.00 | From (1833) and (309) follows: % 180.85/125.00 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.85/125.00 | (233) all_110_0_83 = 0 % 180.85/125.00 | % 180.85/125.00 | Equations (233) can reduce 209 to: % 180.85/125.00 | (173) $false % 180.85/125.00 | % 180.85/125.00 |-The branch is then unsatisfiable % 180.85/125.00 |-Branch two: % 180.85/125.00 | (2905) all_475_0_400 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.85/125.00 | % 180.85/125.00 | Applying alpha-rule on (2905) yields: % 180.85/125.00 | (2899) all_475_0_400 = 0 % 180.85/125.00 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.85/125.00 | (1840) all_205_2_109 = all_0_9_9 % 180.85/125.00 | % 180.85/125.00 | From (1840) and (315) follows: % 180.85/125.00 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.85/125.00 | % 180.85/125.00 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.85/125.00 | (212) all_85_0_75 = 0 % 180.85/125.00 | % 180.85/125.00 | Equations (212) can reduce 181 to: % 180.85/125.00 | (173) $false % 180.85/125.00 | % 180.85/125.00 |-The branch is then unsatisfiable % 180.85/125.01 |-Branch two: % 180.85/125.01 | (2852) all_418_0_381 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 180.85/125.01 | % 180.85/125.01 | Applying alpha-rule on (2852) yields: % 180.85/125.01 | (2822) all_418_0_381 = 0 % 180.85/125.01 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 180.85/125.01 | % 180.85/125.01 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 180.85/125.01 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 180.85/125.01 | % 180.85/125.01 | Instantiating (400) with all_464_0_402 yields: % 180.87/125.01 | (2916) (all_464_0_402 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_464_0_402 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 180.87/125.01 | % 180.87/125.01 +-Applying beta-rule and splitting (2916), into two cases. % 180.87/125.01 |-Branch one: % 180.87/125.01 | (2917) all_464_0_402 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (2917) yields: % 180.87/125.01 | (2918) all_464_0_402 = 0 % 180.87/125.01 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 180.87/125.01 | (417) all_181_1_103 = all_0_6_6 % 180.87/125.01 | % 180.87/125.01 | From (417) and (269) follows: % 180.87/125.01 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.87/125.01 | (233) all_110_0_83 = 0 % 180.87/125.01 | % 180.87/125.01 | Equations (233) can reduce 209 to: % 180.87/125.01 | (173) $false % 180.87/125.01 | % 180.87/125.01 |-The branch is then unsatisfiable % 180.87/125.01 |-Branch two: % 180.87/125.01 | (2924) all_464_0_402 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (2924) yields: % 180.87/125.01 | (2918) all_464_0_402 = 0 % 180.87/125.01 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 180.87/125.01 | (424) all_181_1_103 = all_0_9_9 % 180.87/125.01 | % 180.87/125.01 | From (424) and (297) follows: % 180.87/125.01 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.87/125.01 | (212) all_85_0_75 = 0 % 180.87/125.01 | % 180.87/125.01 | Equations (212) can reduce 181 to: % 180.87/125.01 | (173) $false % 180.87/125.01 | % 180.87/125.01 |-The branch is then unsatisfiable % 180.87/125.01 |-Branch two: % 180.87/125.01 | (2816) all_410_0_380 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (2816) yields: % 180.87/125.01 | (2810) all_410_0_380 = 0 % 180.87/125.01 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.87/125.01 | (431) all_110_1_84 = all_0_9_9 % 180.87/125.01 | % 180.87/125.01 | From (431) and (211) follows: % 180.87/125.01 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.87/125.01 | (212) all_85_0_75 = 0 % 180.87/125.01 | % 180.87/125.01 | Equations (212) can reduce 181 to: % 180.87/125.01 | (173) $false % 180.87/125.01 | % 180.87/125.01 |-The branch is then unsatisfiable % 180.87/125.01 |-Branch two: % 180.87/125.01 | (1887) all_375_0_269 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (1887) yields: % 180.87/125.01 | (1785) all_375_0_269 = 0 % 180.87/125.01 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 180.87/125.01 | (1890) all_205_2_109 = all_0_5_5 % 180.87/125.01 | % 180.87/125.01 | From (1890) and (303) follows: % 180.87/125.01 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.87/125.01 | (261) all_135_0_89 = 0 % 180.87/125.01 | % 180.87/125.01 | Equations (261) can reduce 230 to: % 180.87/125.01 | (173) $false % 180.87/125.01 | % 180.87/125.01 |-The branch is then unsatisfiable % 180.87/125.01 |-Branch two: % 180.87/125.01 | (471) all_356_0_135 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (471) yields: % 180.87/125.01 | (369) all_356_0_135 = 0 % 180.87/125.01 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 180.87/125.01 | (474) all_181_1_103 = all_0_5_5 % 180.87/125.01 | % 180.87/125.01 | From (474) and (260) follows: % 180.87/125.01 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.87/125.01 | (261) all_135_0_89 = 0 % 180.87/125.01 | % 180.87/125.01 | Equations (261) can reduce 230 to: % 180.87/125.01 | (173) $false % 180.87/125.01 | % 180.87/125.01 |-The branch is then unsatisfiable % 180.87/125.01 |-Branch two: % 180.87/125.01 | (2952) all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (2952) yields: % 180.87/125.01 | (1650) all_318_0_130 = 0 % 180.87/125.01 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 180.87/125.01 | (2955) all_205_2_109 = all_0_8_8 % 180.87/125.01 | % 180.87/125.01 | From (2955) and (275) follows: % 180.87/125.01 | (2956) mem(all_0_8_8, all_165_1_98) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (58) with all_0_8_8, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_8_8, all_165_1_98) = all_226_0_114, mem(all_0_8_8, all_165_1_98) = 0, yields: % 180.87/125.01 | (2957) all_226_0_114 = 0 % 180.87/125.01 | % 180.87/125.01 | Equations (2957) can reduce 285 to: % 180.87/125.01 | (173) $false % 180.87/125.01 | % 180.87/125.01 |-The branch is then unsatisfiable % 180.87/125.01 |-Branch two: % 180.87/125.01 | (2959) all_292_0_126 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (2959) yields: % 180.87/125.01 | (337) all_292_0_126 = 0 % 180.87/125.01 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 180.87/125.01 | (2962) all_181_1_103 = all_0_8_8 % 180.87/125.01 | % 180.87/125.01 | From (2962) and (259) follows: % 180.87/125.01 | (2963) mem(all_0_8_8, all_129_1_88) = all_181_0_102 % 180.87/125.01 | % 180.87/125.01 +-Applying beta-rule and splitting (318), into two cases. % 180.87/125.01 |-Branch one: % 180.87/125.01 | (341) all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (341) yields: % 180.87/125.01 | (342) all_311_0_129 = 0 % 180.87/125.01 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 180.87/125.01 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 180.87/125.01 | % 180.87/125.01 | Instantiating (344) with all_367_0_416 yields: % 180.87/125.01 | (2968) (all_367_0_416 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_367_0_416 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 180.87/125.01 | % 180.87/125.01 +-Applying beta-rule and splitting (320), into two cases. % 180.87/125.01 |-Branch one: % 180.87/125.01 | (1649) all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (1649) yields: % 180.87/125.01 | (1650) all_318_0_130 = 0 % 180.87/125.01 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 180.87/125.01 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 180.87/125.01 | % 180.87/125.01 | Instantiating (1652) with all_375_0_417 yields: % 180.87/125.01 | (2973) (all_375_0_417 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_375_0_417 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 180.87/125.01 | % 180.87/125.01 +-Applying beta-rule and splitting (325), into two cases. % 180.87/125.01 |-Branch one: % 180.87/125.01 | (346) all_332_0_132 = 0 & mem(all_85_1_76, all_72_0_70) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (346) yields: % 180.87/125.01 | (347) all_332_0_132 = 0 % 180.87/125.01 | (348) mem(all_85_1_76, all_72_0_70) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_85_1_76, all_72_0_70) = 0, yields: % 180.87/125.01 | (349) all_85_1_76 = all_0_3_3 % 180.87/125.01 | % 180.87/125.01 | From (349) and (182) follows: % 180.87/125.01 | (350) mem(all_0_3_3, all_57_1_65) = all_85_0_75 % 180.87/125.01 | % 180.87/125.01 +-Applying beta-rule and splitting (330), into two cases. % 180.87/125.01 |-Branch one: % 180.87/125.01 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (351) yields: % 180.87/125.01 | (352) all_340_0_133 = 0 % 180.87/125.01 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 180.87/125.01 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 180.87/125.01 | % 180.87/125.01 | Instantiating (354) with all_402_0_419 yields: % 180.87/125.01 | (2983) (all_402_0_419 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_402_0_419 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 180.87/125.01 | % 180.87/125.01 +-Applying beta-rule and splitting (335), into two cases. % 180.87/125.01 |-Branch one: % 180.87/125.01 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (356) yields: % 180.87/125.01 | (357) all_348_0_134 = 0 % 180.87/125.01 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 180.87/125.01 | (359) all_110_1_84 = all_0_3_3 % 180.87/125.01 | % 180.87/125.01 | From (359) and (211) follows: % 180.87/125.01 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.01 | (212) all_85_0_75 = 0 % 180.87/125.01 | % 180.87/125.01 | Equations (212) can reduce 181 to: % 180.87/125.01 | (173) $false % 180.87/125.01 | % 180.87/125.01 |-The branch is then unsatisfiable % 180.87/125.01 |-Branch two: % 180.87/125.01 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (363) yields: % 180.87/125.01 | (357) all_348_0_134 = 0 % 180.87/125.01 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 180.87/125.01 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 180.87/125.01 | % 180.87/125.01 | Instantiating (366) with all_410_0_420 yields: % 180.87/125.01 | (2995) (all_410_0_420 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_410_0_420 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 180.87/125.01 | % 180.87/125.01 +-Applying beta-rule and splitting (2968), into two cases. % 180.87/125.01 |-Branch one: % 180.87/125.01 | (2996) all_367_0_416 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 180.87/125.01 | % 180.87/125.01 | Applying alpha-rule on (2996) yields: % 180.87/125.01 | (2997) all_367_0_416 = 0 % 180.87/125.01 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 180.87/125.01 | % 180.87/125.01 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 180.87/125.01 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 180.87/125.01 | % 180.87/125.01 | Instantiating (479) with all_418_0_421 yields: % 180.87/125.01 | (3000) (all_418_0_421 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_418_0_421 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 180.87/125.01 | % 180.87/125.02 +-Applying beta-rule and splitting (2983), into two cases. % 180.87/125.02 |-Branch one: % 180.87/125.02 | (3001) all_402_0_419 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3001) yields: % 180.87/125.02 | (3002) all_402_0_419 = 0 % 180.87/125.02 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.87/125.02 | (376) all_135_1_90 = all_0_3_3 % 180.87/125.02 | % 180.87/125.02 | From (376) and (241) follows: % 180.87/125.02 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.02 | (212) all_85_0_75 = 0 % 180.87/125.02 | % 180.87/125.02 | Equations (212) can reduce 181 to: % 180.87/125.02 | (173) $false % 180.87/125.02 | % 180.87/125.02 |-The branch is then unsatisfiable % 180.87/125.02 |-Branch two: % 180.87/125.02 | (3008) all_402_0_419 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3008) yields: % 180.87/125.02 | (3002) all_402_0_419 = 0 % 180.87/125.02 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.87/125.02 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.87/125.02 | % 180.87/125.02 | Instantiating (383) with all_442_0_424 yields: % 180.87/125.02 | (3012) (all_442_0_424 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_442_0_424 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.87/125.02 | % 180.87/125.02 +-Applying beta-rule and splitting (2995), into two cases. % 180.87/125.02 |-Branch one: % 180.87/125.02 | (3013) all_410_0_420 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3013) yields: % 180.87/125.02 | (3014) all_410_0_420 = 0 % 180.87/125.02 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.87/125.02 | (388) all_110_1_84 = all_0_6_6 % 180.87/125.02 | % 180.87/125.02 | From (388) and (210) follows: % 180.87/125.02 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.87/125.02 | % 180.87/125.02 +-Applying beta-rule and splitting (3000), into two cases. % 180.87/125.02 |-Branch one: % 180.87/125.02 | (3018) all_418_0_421 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3018) yields: % 180.87/125.02 | (3019) all_418_0_421 = 0 % 180.87/125.02 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.87/125.02 | (501) all_226_1_115 = all_0_3_3 % 180.87/125.02 | % 180.87/125.02 | From (501) and (308) follows: % 180.87/125.02 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.02 | (212) all_85_0_75 = 0 % 180.87/125.02 | % 180.87/125.02 | Equations (212) can reduce 181 to: % 180.87/125.02 | (173) $false % 180.87/125.02 | % 180.87/125.02 |-The branch is then unsatisfiable % 180.87/125.02 |-Branch two: % 180.87/125.02 | (3025) all_418_0_421 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3025) yields: % 180.87/125.02 | (3019) all_418_0_421 = 0 % 180.87/125.02 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.87/125.02 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.87/125.02 | % 180.87/125.02 | Instantiating (508) with all_461_0_425 yields: % 180.87/125.02 | (3029) (all_461_0_425 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_425 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.87/125.02 | % 180.87/125.02 +-Applying beta-rule and splitting (3012), into two cases. % 180.87/125.02 |-Branch one: % 180.87/125.02 | (3030) all_442_0_424 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3030) yields: % 180.87/125.02 | (3031) all_442_0_424 = 0 % 180.87/125.02 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.87/125.02 | (405) all_135_1_90 = all_0_6_6 % 180.87/125.02 | % 180.87/125.02 | From (405) and (232) follows: % 180.87/125.02 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.87/125.02 | (233) all_110_0_83 = 0 % 180.87/125.02 | % 180.87/125.02 | Equations (233) can reduce 209 to: % 180.87/125.02 | (173) $false % 180.87/125.02 | % 180.87/125.02 |-The branch is then unsatisfiable % 180.87/125.02 |-Branch two: % 180.87/125.02 | (3037) all_442_0_424 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3037) yields: % 180.87/125.02 | (3031) all_442_0_424 = 0 % 180.87/125.02 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.87/125.02 | (412) all_135_1_90 = all_0_9_9 % 180.87/125.02 | % 180.87/125.02 | From (412) and (231) follows: % 180.87/125.02 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 180.87/125.02 | % 180.87/125.02 +-Applying beta-rule and splitting (3029), into two cases. % 180.87/125.02 |-Branch one: % 180.87/125.02 | (3042) all_461_0_425 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3042) yields: % 180.87/125.02 | (3043) all_461_0_425 = 0 % 180.87/125.02 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.87/125.02 | (525) all_226_1_115 = all_0_6_6 % 180.87/125.02 | % 180.87/125.02 | From (525) and (302) follows: % 180.87/125.02 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.87/125.02 | (233) all_110_0_83 = 0 % 180.87/125.02 | % 180.87/125.02 | Equations (233) can reduce 209 to: % 180.87/125.02 | (173) $false % 180.87/125.02 | % 180.87/125.02 |-The branch is then unsatisfiable % 180.87/125.02 |-Branch two: % 180.87/125.02 | (3049) all_461_0_425 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3049) yields: % 180.87/125.02 | (3043) all_461_0_425 = 0 % 180.87/125.02 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.87/125.02 | (532) all_226_1_115 = all_0_9_9 % 180.87/125.02 | % 180.87/125.02 | From (532) and (295) follows: % 180.87/125.02 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 180.87/125.02 | (261) all_135_0_89 = 0 % 180.87/125.02 | % 180.87/125.02 | Equations (261) can reduce 230 to: % 180.87/125.02 | (173) $false % 180.87/125.02 | % 180.87/125.02 |-The branch is then unsatisfiable % 180.87/125.02 |-Branch two: % 180.87/125.02 | (3056) all_410_0_420 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3056) yields: % 180.87/125.02 | (3014) all_410_0_420 = 0 % 180.87/125.02 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.87/125.02 | (431) all_110_1_84 = all_0_9_9 % 180.87/125.02 | % 180.87/125.02 | From (431) and (210) follows: % 180.87/125.02 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.87/125.02 | % 180.87/125.02 +-Applying beta-rule and splitting (3000), into two cases. % 180.87/125.02 |-Branch one: % 180.87/125.02 | (3018) all_418_0_421 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3018) yields: % 180.87/125.02 | (3019) all_418_0_421 = 0 % 180.87/125.02 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.87/125.02 | (501) all_226_1_115 = all_0_3_3 % 180.87/125.02 | % 180.87/125.02 | From (501) and (308) follows: % 180.87/125.02 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.02 | (212) all_85_0_75 = 0 % 180.87/125.02 | % 180.87/125.02 | Equations (212) can reduce 181 to: % 180.87/125.02 | (173) $false % 180.87/125.02 | % 180.87/125.02 |-The branch is then unsatisfiable % 180.87/125.02 |-Branch two: % 180.87/125.02 | (3025) all_418_0_421 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3025) yields: % 180.87/125.02 | (3019) all_418_0_421 = 0 % 180.87/125.02 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.87/125.02 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.87/125.02 | % 180.87/125.02 | Instantiating (508) with all_461_0_428 yields: % 180.87/125.02 | (3072) (all_461_0_428 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_428 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.87/125.02 | % 180.87/125.02 +-Applying beta-rule and splitting (3012), into two cases. % 180.87/125.02 |-Branch one: % 180.87/125.02 | (3030) all_442_0_424 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3030) yields: % 180.87/125.02 | (3031) all_442_0_424 = 0 % 180.87/125.02 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.87/125.02 | (405) all_135_1_90 = all_0_6_6 % 180.87/125.02 | % 180.87/125.02 | From (405) and (231) follows: % 180.87/125.02 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 180.87/125.02 | % 180.87/125.02 +-Applying beta-rule and splitting (3072), into two cases. % 180.87/125.02 |-Branch one: % 180.87/125.02 | (3078) all_461_0_428 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3078) yields: % 180.87/125.02 | (3079) all_461_0_428 = 0 % 180.87/125.02 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.87/125.02 | (525) all_226_1_115 = all_0_6_6 % 180.87/125.02 | % 180.87/125.02 | From (525) and (295) follows: % 180.87/125.02 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 180.87/125.02 | (261) all_135_0_89 = 0 % 180.87/125.02 | % 180.87/125.02 | Equations (261) can reduce 230 to: % 180.87/125.02 | (173) $false % 180.87/125.02 | % 180.87/125.02 |-The branch is then unsatisfiable % 180.87/125.02 |-Branch two: % 180.87/125.02 | (3085) all_461_0_428 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3085) yields: % 180.87/125.02 | (3079) all_461_0_428 = 0 % 180.87/125.02 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.87/125.02 | (532) all_226_1_115 = all_0_9_9 % 180.87/125.02 | % 180.87/125.02 | From (532) and (302) follows: % 180.87/125.02 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.87/125.02 | (233) all_110_0_83 = 0 % 180.87/125.02 | % 180.87/125.02 | Equations (233) can reduce 209 to: % 180.87/125.02 | (173) $false % 180.87/125.02 | % 180.87/125.02 |-The branch is then unsatisfiable % 180.87/125.02 |-Branch two: % 180.87/125.02 | (3037) all_442_0_424 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Applying alpha-rule on (3037) yields: % 180.87/125.02 | (3031) all_442_0_424 = 0 % 180.87/125.02 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.87/125.02 | (412) all_135_1_90 = all_0_9_9 % 180.87/125.02 | % 180.87/125.02 | From (412) and (232) follows: % 180.87/125.02 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.87/125.02 | % 180.87/125.02 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.87/125.02 | (233) all_110_0_83 = 0 % 180.87/125.02 | % 180.87/125.02 | Equations (233) can reduce 209 to: % 180.87/125.02 | (173) $false % 180.87/125.02 | % 180.87/125.02 |-The branch is then unsatisfiable % 180.87/125.03 |-Branch two: % 180.87/125.03 | (3099) all_367_0_416 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3099) yields: % 180.87/125.03 | (2997) all_367_0_416 = 0 % 180.87/125.03 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 180.87/125.03 | (582) all_226_1_115 = all_0_5_5 % 180.87/125.03 | % 180.87/125.03 | From (582) and (286) follows: % 180.87/125.03 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 180.87/125.03 | % 180.87/125.03 +-Applying beta-rule and splitting (2973), into two cases. % 180.87/125.03 |-Branch one: % 180.87/125.03 | (3104) all_375_0_417 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3104) yields: % 180.87/125.03 | (3105) all_375_0_417 = 0 % 180.87/125.03 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 180.87/125.03 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 180.87/125.03 | % 180.87/125.03 | Instantiating (1787) with all_429_0_431 yields: % 180.87/125.03 | (3108) (all_429_0_431 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_431 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 180.87/125.03 | % 180.87/125.03 +-Applying beta-rule and splitting (2983), into two cases. % 180.87/125.03 |-Branch one: % 180.87/125.03 | (3001) all_402_0_419 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3001) yields: % 180.87/125.03 | (3002) all_402_0_419 = 0 % 180.87/125.03 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.87/125.03 | (376) all_135_1_90 = all_0_3_3 % 180.87/125.03 | % 180.87/125.03 | From (376) and (241) follows: % 180.87/125.03 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.03 | (212) all_85_0_75 = 0 % 180.87/125.03 | % 180.87/125.03 | Equations (212) can reduce 181 to: % 180.87/125.03 | (173) $false % 180.87/125.03 | % 180.87/125.03 |-The branch is then unsatisfiable % 180.87/125.03 |-Branch two: % 180.87/125.03 | (3008) all_402_0_419 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3008) yields: % 180.87/125.03 | (3002) all_402_0_419 = 0 % 180.87/125.03 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.87/125.03 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.87/125.03 | % 180.87/125.03 | Instantiating (383) with all_445_0_433 yields: % 180.87/125.03 | (3120) (all_445_0_433 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_433 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.87/125.03 | % 180.87/125.03 +-Applying beta-rule and splitting (2995), into two cases. % 180.87/125.03 |-Branch one: % 180.87/125.03 | (3013) all_410_0_420 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3013) yields: % 180.87/125.03 | (3014) all_410_0_420 = 0 % 180.87/125.03 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.87/125.03 | (388) all_110_1_84 = all_0_6_6 % 180.87/125.03 | % 180.87/125.03 | From (388) and (210) follows: % 180.87/125.03 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.87/125.03 | % 180.87/125.03 +-Applying beta-rule and splitting (3108), into two cases. % 180.87/125.03 |-Branch one: % 180.87/125.03 | (3126) all_429_0_431 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3126) yields: % 180.87/125.03 | (3127) all_429_0_431 = 0 % 180.87/125.03 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.87/125.03 | (1809) all_205_2_109 = all_0_3_3 % 180.87/125.03 | % 180.87/125.03 | From (1809) and (315) follows: % 180.87/125.03 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.03 | (212) all_85_0_75 = 0 % 180.87/125.03 | % 180.87/125.03 | Equations (212) can reduce 181 to: % 180.87/125.03 | (173) $false % 180.87/125.03 | % 180.87/125.03 |-The branch is then unsatisfiable % 180.87/125.03 |-Branch two: % 180.87/125.03 | (3133) all_429_0_431 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3133) yields: % 180.87/125.03 | (3127) all_429_0_431 = 0 % 180.87/125.03 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.87/125.03 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.87/125.03 | % 180.87/125.03 | Instantiating (1816) with all_464_0_434 yields: % 180.87/125.03 | (3137) (all_464_0_434 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_434 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.87/125.03 | % 180.87/125.03 +-Applying beta-rule and splitting (3120), into two cases. % 180.87/125.03 |-Branch one: % 180.87/125.03 | (3138) all_445_0_433 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3138) yields: % 180.87/125.03 | (3139) all_445_0_433 = 0 % 180.87/125.03 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.87/125.03 | (405) all_135_1_90 = all_0_6_6 % 180.87/125.03 | % 180.87/125.03 | From (405) and (232) follows: % 180.87/125.03 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.87/125.03 | (233) all_110_0_83 = 0 % 180.87/125.03 | % 180.87/125.03 | Equations (233) can reduce 209 to: % 180.87/125.03 | (173) $false % 180.87/125.03 | % 180.87/125.03 |-The branch is then unsatisfiable % 180.87/125.03 |-Branch two: % 180.87/125.03 | (3145) all_445_0_433 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3145) yields: % 180.87/125.03 | (3139) all_445_0_433 = 0 % 180.87/125.03 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.87/125.03 | (412) all_135_1_90 = all_0_9_9 % 180.87/125.03 | % 180.87/125.03 | From (412) and (231) follows: % 180.87/125.03 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 180.87/125.03 | % 180.87/125.03 +-Applying beta-rule and splitting (3137), into two cases. % 180.87/125.03 |-Branch one: % 180.87/125.03 | (3150) all_464_0_434 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3150) yields: % 180.87/125.03 | (3151) all_464_0_434 = 0 % 180.87/125.03 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.87/125.03 | (1833) all_205_2_109 = all_0_6_6 % 180.87/125.03 | % 180.87/125.03 | From (1833) and (309) follows: % 180.87/125.03 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.87/125.03 | (233) all_110_0_83 = 0 % 180.87/125.03 | % 180.87/125.03 | Equations (233) can reduce 209 to: % 180.87/125.03 | (173) $false % 180.87/125.03 | % 180.87/125.03 |-The branch is then unsatisfiable % 180.87/125.03 |-Branch two: % 180.87/125.03 | (3157) all_464_0_434 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3157) yields: % 180.87/125.03 | (3151) all_464_0_434 = 0 % 180.87/125.03 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.87/125.03 | (1840) all_205_2_109 = all_0_9_9 % 180.87/125.03 | % 180.87/125.03 | From (1840) and (303) follows: % 180.87/125.03 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 180.87/125.03 | (261) all_135_0_89 = 0 % 180.87/125.03 | % 180.87/125.03 | Equations (261) can reduce 230 to: % 180.87/125.03 | (173) $false % 180.87/125.03 | % 180.87/125.03 |-The branch is then unsatisfiable % 180.87/125.03 |-Branch two: % 180.87/125.03 | (3056) all_410_0_420 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3056) yields: % 180.87/125.03 | (3014) all_410_0_420 = 0 % 180.87/125.03 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.87/125.03 | (431) all_110_1_84 = all_0_9_9 % 180.87/125.03 | % 180.87/125.03 | From (431) and (210) follows: % 180.87/125.03 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.87/125.03 | % 180.87/125.03 +-Applying beta-rule and splitting (3108), into two cases. % 180.87/125.03 |-Branch one: % 180.87/125.03 | (3126) all_429_0_431 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3126) yields: % 180.87/125.03 | (3127) all_429_0_431 = 0 % 180.87/125.03 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.87/125.03 | (1809) all_205_2_109 = all_0_3_3 % 180.87/125.03 | % 180.87/125.03 | From (1809) and (315) follows: % 180.87/125.03 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.03 | (212) all_85_0_75 = 0 % 180.87/125.03 | % 180.87/125.03 | Equations (212) can reduce 181 to: % 180.87/125.03 | (173) $false % 180.87/125.03 | % 180.87/125.03 |-The branch is then unsatisfiable % 180.87/125.03 |-Branch two: % 180.87/125.03 | (3133) all_429_0_431 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.03 | % 180.87/125.03 | Applying alpha-rule on (3133) yields: % 180.87/125.03 | (3127) all_429_0_431 = 0 % 180.87/125.03 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.03 | % 180.87/125.03 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.87/125.03 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.87/125.03 | % 180.87/125.03 | Instantiating (1816) with all_464_0_436 yields: % 180.87/125.04 | (3180) (all_464_0_436 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_436 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.87/125.04 | % 180.87/125.04 +-Applying beta-rule and splitting (3120), into two cases. % 180.87/125.04 |-Branch one: % 180.87/125.04 | (3138) all_445_0_433 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3138) yields: % 180.87/125.04 | (3139) all_445_0_433 = 0 % 180.87/125.04 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.87/125.04 | (405) all_135_1_90 = all_0_6_6 % 180.87/125.04 | % 180.87/125.04 | From (405) and (231) follows: % 180.87/125.04 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 180.87/125.04 | % 180.87/125.04 +-Applying beta-rule and splitting (3180), into two cases. % 180.87/125.04 |-Branch one: % 180.87/125.04 | (3186) all_464_0_436 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3186) yields: % 180.87/125.04 | (3187) all_464_0_436 = 0 % 180.87/125.04 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.87/125.04 | (1833) all_205_2_109 = all_0_6_6 % 180.87/125.04 | % 180.87/125.04 | From (1833) and (303) follows: % 180.87/125.04 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 180.87/125.04 | (261) all_135_0_89 = 0 % 180.87/125.04 | % 180.87/125.04 | Equations (261) can reduce 230 to: % 180.87/125.04 | (173) $false % 180.87/125.04 | % 180.87/125.04 |-The branch is then unsatisfiable % 180.87/125.04 |-Branch two: % 180.87/125.04 | (3193) all_464_0_436 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3193) yields: % 180.87/125.04 | (3187) all_464_0_436 = 0 % 180.87/125.04 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.87/125.04 | (1840) all_205_2_109 = all_0_9_9 % 180.87/125.04 | % 180.87/125.04 | From (1840) and (309) follows: % 180.87/125.04 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.87/125.04 | (233) all_110_0_83 = 0 % 180.87/125.04 | % 180.87/125.04 | Equations (233) can reduce 209 to: % 180.87/125.04 | (173) $false % 180.87/125.04 | % 180.87/125.04 |-The branch is then unsatisfiable % 180.87/125.04 |-Branch two: % 180.87/125.04 | (3145) all_445_0_433 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3145) yields: % 180.87/125.04 | (3139) all_445_0_433 = 0 % 180.87/125.04 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.87/125.04 | (412) all_135_1_90 = all_0_9_9 % 180.87/125.04 | % 180.87/125.04 | From (412) and (232) follows: % 180.87/125.04 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.87/125.04 | (233) all_110_0_83 = 0 % 180.87/125.04 | % 180.87/125.04 | Equations (233) can reduce 209 to: % 180.87/125.04 | (173) $false % 180.87/125.04 | % 180.87/125.04 |-The branch is then unsatisfiable % 180.87/125.04 |-Branch two: % 180.87/125.04 | (3207) all_375_0_417 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3207) yields: % 180.87/125.04 | (3105) all_375_0_417 = 0 % 180.87/125.04 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 180.87/125.04 | (1890) all_205_2_109 = all_0_5_5 % 180.87/125.04 | % 180.87/125.04 | From (1890) and (275) follows: % 180.87/125.04 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 180.87/125.04 | (2957) all_226_0_114 = 0 % 180.87/125.04 | % 180.87/125.04 | Equations (2957) can reduce 285 to: % 180.87/125.04 | (173) $false % 180.87/125.04 | % 180.87/125.04 |-The branch is then unsatisfiable % 180.87/125.04 |-Branch two: % 180.87/125.04 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (586) yields: % 180.87/125.04 | (352) all_340_0_133 = 0 % 180.87/125.04 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 180.87/125.04 | (589) all_135_1_90 = all_0_5_5 % 180.87/125.04 | % 180.87/125.04 | From (589) and (231) follows: % 180.87/125.04 | (590) mem(all_0_5_5, all_99_1_80) = all_135_0_89 % 180.87/125.04 | % 180.87/125.04 +-Applying beta-rule and splitting (335), into two cases. % 180.87/125.04 |-Branch one: % 180.87/125.04 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (356) yields: % 180.87/125.04 | (357) all_348_0_134 = 0 % 180.87/125.04 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 180.87/125.04 | (359) all_110_1_84 = all_0_3_3 % 180.87/125.04 | % 180.87/125.04 | From (359) and (211) follows: % 180.87/125.04 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.04 | (212) all_85_0_75 = 0 % 180.87/125.04 | % 180.87/125.04 | Equations (212) can reduce 181 to: % 180.87/125.04 | (173) $false % 180.87/125.04 | % 180.87/125.04 |-The branch is then unsatisfiable % 180.87/125.04 |-Branch two: % 180.87/125.04 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (363) yields: % 180.87/125.04 | (357) all_348_0_134 = 0 % 180.87/125.04 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 180.87/125.04 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 180.87/125.04 | % 180.87/125.04 | Instantiating (366) with all_413_0_438 yields: % 180.87/125.04 | (3230) (all_413_0_438 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_413_0_438 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 180.87/125.04 | % 180.87/125.04 +-Applying beta-rule and splitting (2968), into two cases. % 180.87/125.04 |-Branch one: % 180.87/125.04 | (2996) all_367_0_416 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (2996) yields: % 180.87/125.04 | (2997) all_367_0_416 = 0 % 180.87/125.04 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 180.87/125.04 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 180.87/125.04 | % 180.87/125.04 | Instantiating (479) with all_421_0_439 yields: % 180.87/125.04 | (3235) (all_421_0_439 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_421_0_439 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 180.87/125.04 | % 180.87/125.04 +-Applying beta-rule and splitting (2973), into two cases. % 180.87/125.04 |-Branch one: % 180.87/125.04 | (3104) all_375_0_417 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3104) yields: % 180.87/125.04 | (3105) all_375_0_417 = 0 % 180.87/125.04 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 180.87/125.04 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 180.87/125.04 | % 180.87/125.04 | Instantiating (1787) with all_429_0_440 yields: % 180.87/125.04 | (3240) (all_429_0_440 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_440 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 180.87/125.04 | % 180.87/125.04 +-Applying beta-rule and splitting (3230), into two cases. % 180.87/125.04 |-Branch one: % 180.87/125.04 | (3241) all_413_0_438 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3241) yields: % 180.87/125.04 | (3242) all_413_0_438 = 0 % 180.87/125.04 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.87/125.04 | (388) all_110_1_84 = all_0_6_6 % 180.87/125.04 | % 180.87/125.04 | From (388) and (210) follows: % 180.87/125.04 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 180.87/125.04 | % 180.87/125.04 +-Applying beta-rule and splitting (3235), into two cases. % 180.87/125.04 |-Branch one: % 180.87/125.04 | (3246) all_421_0_439 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3246) yields: % 180.87/125.04 | (3247) all_421_0_439 = 0 % 180.87/125.04 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.87/125.04 | (501) all_226_1_115 = all_0_3_3 % 180.87/125.04 | % 180.87/125.04 | From (501) and (308) follows: % 180.87/125.04 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.04 | (212) all_85_0_75 = 0 % 180.87/125.04 | % 180.87/125.04 | Equations (212) can reduce 181 to: % 180.87/125.04 | (173) $false % 180.87/125.04 | % 180.87/125.04 |-The branch is then unsatisfiable % 180.87/125.04 |-Branch two: % 180.87/125.04 | (3253) all_421_0_439 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3253) yields: % 180.87/125.04 | (3247) all_421_0_439 = 0 % 180.87/125.04 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.87/125.04 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.87/125.04 | % 180.87/125.04 | Instantiating (508) with all_456_0_442 yields: % 180.87/125.04 | (3257) (all_456_0_442 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_442 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.87/125.04 | % 180.87/125.04 +-Applying beta-rule and splitting (3240), into two cases. % 180.87/125.04 |-Branch one: % 180.87/125.04 | (3258) all_429_0_440 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.04 | % 180.87/125.04 | Applying alpha-rule on (3258) yields: % 180.87/125.04 | (3259) all_429_0_440 = 0 % 180.87/125.04 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.04 | % 180.87/125.04 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.87/125.04 | (1809) all_205_2_109 = all_0_3_3 % 180.87/125.04 | % 180.87/125.04 | From (1809) and (315) follows: % 180.87/125.05 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.05 | (212) all_85_0_75 = 0 % 180.87/125.05 | % 180.87/125.05 | Equations (212) can reduce 181 to: % 180.87/125.05 | (173) $false % 180.87/125.05 | % 180.87/125.05 |-The branch is then unsatisfiable % 180.87/125.05 |-Branch two: % 180.87/125.05 | (3265) all_429_0_440 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3265) yields: % 180.87/125.05 | (3259) all_429_0_440 = 0 % 180.87/125.05 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.87/125.05 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.87/125.05 | % 180.87/125.05 | Instantiating (1816) with all_464_0_443 yields: % 180.87/125.05 | (3269) (all_464_0_443 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_443 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.87/125.05 | % 180.87/125.05 +-Applying beta-rule and splitting (3257), into two cases. % 180.87/125.05 |-Branch one: % 180.87/125.05 | (3270) all_456_0_442 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3270) yields: % 180.87/125.05 | (3271) all_456_0_442 = 0 % 180.87/125.05 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.87/125.05 | (525) all_226_1_115 = all_0_6_6 % 180.87/125.05 | % 180.87/125.05 | From (525) and (302) follows: % 180.87/125.05 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.87/125.05 | (233) all_110_0_83 = 0 % 180.87/125.05 | % 180.87/125.05 | Equations (233) can reduce 209 to: % 180.87/125.05 | (173) $false % 180.87/125.05 | % 180.87/125.05 |-The branch is then unsatisfiable % 180.87/125.05 |-Branch two: % 180.87/125.05 | (3277) all_456_0_442 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3277) yields: % 180.87/125.05 | (3271) all_456_0_442 = 0 % 180.87/125.05 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.87/125.05 | (532) all_226_1_115 = all_0_9_9 % 180.87/125.05 | % 180.87/125.05 | From (532) and (286) follows: % 180.87/125.05 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 180.87/125.05 | % 180.87/125.05 +-Applying beta-rule and splitting (3269), into two cases. % 180.87/125.05 |-Branch one: % 180.87/125.05 | (3282) all_464_0_443 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3282) yields: % 180.87/125.05 | (3283) all_464_0_443 = 0 % 180.87/125.05 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.87/125.05 | (1833) all_205_2_109 = all_0_6_6 % 180.87/125.05 | % 180.87/125.05 | From (1833) and (309) follows: % 180.87/125.05 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 180.87/125.05 | (233) all_110_0_83 = 0 % 180.87/125.05 | % 180.87/125.05 | Equations (233) can reduce 209 to: % 180.87/125.05 | (173) $false % 180.87/125.05 | % 180.87/125.05 |-The branch is then unsatisfiable % 180.87/125.05 |-Branch two: % 180.87/125.05 | (3289) all_464_0_443 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3289) yields: % 180.87/125.05 | (3283) all_464_0_443 = 0 % 180.87/125.05 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.87/125.05 | (1840) all_205_2_109 = all_0_9_9 % 180.87/125.05 | % 180.87/125.05 | From (1840) and (275) follows: % 180.87/125.05 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 180.87/125.05 | (2957) all_226_0_114 = 0 % 180.87/125.05 | % 180.87/125.05 | Equations (2957) can reduce 285 to: % 180.87/125.05 | (173) $false % 180.87/125.05 | % 180.87/125.05 |-The branch is then unsatisfiable % 180.87/125.05 |-Branch two: % 180.87/125.05 | (3296) all_413_0_438 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3296) yields: % 180.87/125.05 | (3242) all_413_0_438 = 0 % 180.87/125.05 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.87/125.05 | (431) all_110_1_84 = all_0_9_9 % 180.87/125.05 | % 180.87/125.05 | From (431) and (210) follows: % 180.87/125.05 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.87/125.05 | % 180.87/125.05 +-Applying beta-rule and splitting (3235), into two cases. % 180.87/125.05 |-Branch one: % 180.87/125.05 | (3246) all_421_0_439 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3246) yields: % 180.87/125.05 | (3247) all_421_0_439 = 0 % 180.87/125.05 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.87/125.05 | (501) all_226_1_115 = all_0_3_3 % 180.87/125.05 | % 180.87/125.05 | From (501) and (308) follows: % 180.87/125.05 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.05 | (212) all_85_0_75 = 0 % 180.87/125.05 | % 180.87/125.05 | Equations (212) can reduce 181 to: % 180.87/125.05 | (173) $false % 180.87/125.05 | % 180.87/125.05 |-The branch is then unsatisfiable % 180.87/125.05 |-Branch two: % 180.87/125.05 | (3253) all_421_0_439 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3253) yields: % 180.87/125.05 | (3247) all_421_0_439 = 0 % 180.87/125.05 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.87/125.05 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.87/125.05 | % 180.87/125.05 | Instantiating (508) with all_456_0_445 yields: % 180.87/125.05 | (3312) (all_456_0_445 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_445 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.87/125.05 | % 180.87/125.05 +-Applying beta-rule and splitting (3240), into two cases. % 180.87/125.05 |-Branch one: % 180.87/125.05 | (3258) all_429_0_440 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3258) yields: % 180.87/125.05 | (3259) all_429_0_440 = 0 % 180.87/125.05 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.87/125.05 | (1809) all_205_2_109 = all_0_3_3 % 180.87/125.05 | % 180.87/125.05 | From (1809) and (315) follows: % 180.87/125.05 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 180.87/125.05 | (212) all_85_0_75 = 0 % 180.87/125.05 | % 180.87/125.05 | Equations (212) can reduce 181 to: % 180.87/125.05 | (173) $false % 180.87/125.05 | % 180.87/125.05 |-The branch is then unsatisfiable % 180.87/125.05 |-Branch two: % 180.87/125.05 | (3265) all_429_0_440 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3265) yields: % 180.87/125.05 | (3259) all_429_0_440 = 0 % 180.87/125.05 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.87/125.05 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.87/125.05 | % 180.87/125.05 | Instantiating (1816) with all_464_0_446 yields: % 180.87/125.05 | (3324) (all_464_0_446 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_446 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.87/125.05 | % 180.87/125.05 +-Applying beta-rule and splitting (3312), into two cases. % 180.87/125.05 |-Branch one: % 180.87/125.05 | (3325) all_456_0_445 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3325) yields: % 180.87/125.05 | (3326) all_456_0_445 = 0 % 180.87/125.05 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.87/125.05 | (525) all_226_1_115 = all_0_6_6 % 180.87/125.05 | % 180.87/125.05 | From (525) and (286) follows: % 180.87/125.05 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 180.87/125.05 | % 180.87/125.05 +-Applying beta-rule and splitting (3324), into two cases. % 180.87/125.05 |-Branch one: % 180.87/125.05 | (3330) all_464_0_446 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.05 | % 180.87/125.05 | Applying alpha-rule on (3330) yields: % 180.87/125.05 | (3331) all_464_0_446 = 0 % 180.87/125.05 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.05 | % 180.87/125.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.87/125.05 | (1833) all_205_2_109 = all_0_6_6 % 180.87/125.05 | % 180.87/125.05 | From (1833) and (275) follows: % 180.87/125.06 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 180.87/125.06 | (2957) all_226_0_114 = 0 % 180.87/125.06 | % 180.87/125.06 | Equations (2957) can reduce 285 to: % 180.87/125.06 | (173) $false % 180.87/125.06 | % 180.87/125.06 |-The branch is then unsatisfiable % 180.87/125.06 |-Branch two: % 180.87/125.06 | (3337) all_464_0_446 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (3337) yields: % 180.87/125.06 | (3331) all_464_0_446 = 0 % 180.87/125.06 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.87/125.06 | (1840) all_205_2_109 = all_0_9_9 % 180.87/125.06 | % 180.87/125.06 | From (1840) and (309) follows: % 180.87/125.06 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.87/125.06 | (233) all_110_0_83 = 0 % 180.87/125.06 | % 180.87/125.06 | Equations (233) can reduce 209 to: % 180.87/125.06 | (173) $false % 180.87/125.06 | % 180.87/125.06 |-The branch is then unsatisfiable % 180.87/125.06 |-Branch two: % 180.87/125.06 | (3344) all_456_0_445 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (3344) yields: % 180.87/125.06 | (3326) all_456_0_445 = 0 % 180.87/125.06 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.87/125.06 | (532) all_226_1_115 = all_0_9_9 % 180.87/125.06 | % 180.87/125.06 | From (532) and (302) follows: % 180.87/125.06 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.87/125.06 | (233) all_110_0_83 = 0 % 180.87/125.06 | % 180.87/125.06 | Equations (233) can reduce 209 to: % 180.87/125.06 | (173) $false % 180.87/125.06 | % 180.87/125.06 |-The branch is then unsatisfiable % 180.87/125.06 |-Branch two: % 180.87/125.06 | (3207) all_375_0_417 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (3207) yields: % 180.87/125.06 | (3105) all_375_0_417 = 0 % 180.87/125.06 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 180.87/125.06 | (1890) all_205_2_109 = all_0_5_5 % 180.87/125.06 | % 180.87/125.06 | From (1890) and (303) follows: % 180.87/125.06 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.87/125.06 | (261) all_135_0_89 = 0 % 180.87/125.06 | % 180.87/125.06 | Equations (261) can reduce 230 to: % 180.87/125.06 | (173) $false % 180.87/125.06 | % 180.87/125.06 |-The branch is then unsatisfiable % 180.87/125.06 |-Branch two: % 180.87/125.06 | (3099) all_367_0_416 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (3099) yields: % 180.87/125.06 | (2997) all_367_0_416 = 0 % 180.87/125.06 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 180.87/125.06 | (582) all_226_1_115 = all_0_5_5 % 180.87/125.06 | % 180.87/125.06 | From (582) and (295) follows: % 180.87/125.06 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 180.87/125.06 | (261) all_135_0_89 = 0 % 180.87/125.06 | % 180.87/125.06 | Equations (261) can reduce 230 to: % 180.87/125.06 | (173) $false % 180.87/125.06 | % 180.87/125.06 |-The branch is then unsatisfiable % 180.87/125.06 |-Branch two: % 180.87/125.06 | (737) all_332_0_132 = 0 & mem(all_85_1_76, all_0_3_3) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (737) yields: % 180.87/125.06 | (347) all_332_0_132 = 0 % 180.87/125.06 | (739) mem(all_85_1_76, all_0_3_3) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_85_1_76, all_0_3_3) = 0, yields: % 180.87/125.06 | (740) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_6_6) = 0)) % 180.87/125.06 | % 180.87/125.06 | Instantiating (740) with all_391_0_448 yields: % 180.87/125.06 | (3369) (all_391_0_448 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (all_391_0_448 = 0 & mem(all_85_1_76, all_0_6_6) = 0) % 180.87/125.06 | % 180.87/125.06 +-Applying beta-rule and splitting (330), into two cases. % 180.87/125.06 |-Branch one: % 180.87/125.06 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (351) yields: % 180.87/125.06 | (352) all_340_0_133 = 0 % 180.87/125.06 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 180.87/125.06 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 180.87/125.06 | % 180.87/125.06 | Instantiating (354) with all_399_0_449 yields: % 180.87/125.06 | (3374) (all_399_0_449 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_399_0_449 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 180.87/125.06 | % 180.87/125.06 +-Applying beta-rule and splitting (335), into two cases. % 180.87/125.06 |-Branch one: % 180.87/125.06 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (356) yields: % 180.87/125.06 | (357) all_348_0_134 = 0 % 180.87/125.06 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 180.87/125.06 | (359) all_110_1_84 = all_0_3_3 % 180.87/125.06 | % 180.87/125.06 | From (359) and (210) follows: % 180.87/125.06 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 180.87/125.06 | % 180.87/125.06 +-Applying beta-rule and splitting (2968), into two cases. % 180.87/125.06 |-Branch one: % 180.87/125.06 | (2996) all_367_0_416 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (2996) yields: % 180.87/125.06 | (2997) all_367_0_416 = 0 % 180.87/125.06 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 180.87/125.06 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 180.87/125.06 | % 180.87/125.06 | Instantiating (479) with all_418_0_450 yields: % 180.87/125.06 | (3384) (all_418_0_450 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_418_0_450 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 180.87/125.06 | % 180.87/125.06 +-Applying beta-rule and splitting (3369), into two cases. % 180.87/125.06 |-Branch one: % 180.87/125.06 | (3385) all_391_0_448 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (3385) yields: % 180.87/125.06 | (3386) all_391_0_448 = 0 % 180.87/125.06 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.87/125.06 | (760) all_85_1_76 = all_0_6_6 % 180.87/125.06 | % 180.87/125.06 | From (760) and (182) follows: % 180.87/125.06 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.87/125.06 | % 180.87/125.06 +-Applying beta-rule and splitting (3374), into two cases. % 180.87/125.06 |-Branch one: % 180.87/125.06 | (3390) all_399_0_449 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (3390) yields: % 180.87/125.06 | (3391) all_399_0_449 = 0 % 180.87/125.06 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.87/125.06 | (376) all_135_1_90 = all_0_3_3 % 180.87/125.06 | % 180.87/125.06 | From (376) and (232) follows: % 180.87/125.06 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.87/125.06 | (233) all_110_0_83 = 0 % 180.87/125.06 | % 180.87/125.06 | Equations (233) can reduce 209 to: % 180.87/125.06 | (173) $false % 180.87/125.06 | % 180.87/125.06 |-The branch is then unsatisfiable % 180.87/125.06 |-Branch two: % 180.87/125.06 | (3397) all_399_0_449 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (3397) yields: % 180.87/125.06 | (3391) all_399_0_449 = 0 % 180.87/125.06 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.87/125.06 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.87/125.06 | % 180.87/125.06 | Instantiating (383) with all_453_0_453 yields: % 180.87/125.06 | (3401) (all_453_0_453 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_453_0_453 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.87/125.06 | % 180.87/125.06 +-Applying beta-rule and splitting (3384), into two cases. % 180.87/125.06 |-Branch one: % 180.87/125.06 | (3402) all_418_0_450 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (3402) yields: % 180.87/125.06 | (3403) all_418_0_450 = 0 % 180.87/125.06 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.87/125.06 | (501) all_226_1_115 = all_0_3_3 % 180.87/125.06 | % 180.87/125.06 | From (501) and (302) follows: % 180.87/125.06 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.87/125.06 | % 180.87/125.06 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.87/125.06 | (233) all_110_0_83 = 0 % 180.87/125.06 | % 180.87/125.06 | Equations (233) can reduce 209 to: % 180.87/125.06 | (173) $false % 180.87/125.06 | % 180.87/125.06 |-The branch is then unsatisfiable % 180.87/125.06 |-Branch two: % 180.87/125.06 | (3409) all_418_0_450 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.06 | % 180.87/125.06 | Applying alpha-rule on (3409) yields: % 180.87/125.06 | (3403) all_418_0_450 = 0 % 180.87/125.07 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.87/125.07 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.87/125.07 | % 180.87/125.07 | Instantiating (508) with all_461_0_454 yields: % 180.87/125.07 | (3413) (all_461_0_454 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_454 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.87/125.07 | % 180.87/125.07 +-Applying beta-rule and splitting (3401), into two cases. % 180.87/125.07 |-Branch one: % 180.87/125.07 | (3414) all_453_0_453 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3414) yields: % 180.87/125.07 | (3415) all_453_0_453 = 0 % 180.87/125.07 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.87/125.07 | (405) all_135_1_90 = all_0_6_6 % 180.87/125.07 | % 180.87/125.07 | From (405) and (241) follows: % 180.87/125.07 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.87/125.07 | (212) all_85_0_75 = 0 % 180.87/125.07 | % 180.87/125.07 | Equations (212) can reduce 181 to: % 180.87/125.07 | (173) $false % 180.87/125.07 | % 180.87/125.07 |-The branch is then unsatisfiable % 180.87/125.07 |-Branch two: % 180.87/125.07 | (3421) all_453_0_453 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3421) yields: % 180.87/125.07 | (3415) all_453_0_453 = 0 % 180.87/125.07 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.87/125.07 | (412) all_135_1_90 = all_0_9_9 % 180.87/125.07 | % 180.87/125.07 | From (412) and (231) follows: % 180.87/125.07 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 180.87/125.07 | % 180.87/125.07 +-Applying beta-rule and splitting (3413), into two cases. % 180.87/125.07 |-Branch one: % 180.87/125.07 | (3426) all_461_0_454 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3426) yields: % 180.87/125.07 | (3427) all_461_0_454 = 0 % 180.87/125.07 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.87/125.07 | (525) all_226_1_115 = all_0_6_6 % 180.87/125.07 | % 180.87/125.07 | From (525) and (308) follows: % 180.87/125.07 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.87/125.07 | (212) all_85_0_75 = 0 % 180.87/125.07 | % 180.87/125.07 | Equations (212) can reduce 181 to: % 180.87/125.07 | (173) $false % 180.87/125.07 | % 180.87/125.07 |-The branch is then unsatisfiable % 180.87/125.07 |-Branch two: % 180.87/125.07 | (3433) all_461_0_454 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3433) yields: % 180.87/125.07 | (3427) all_461_0_454 = 0 % 180.87/125.07 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.87/125.07 | (532) all_226_1_115 = all_0_9_9 % 180.87/125.07 | % 180.87/125.07 | From (532) and (295) follows: % 180.87/125.07 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 180.87/125.07 | (261) all_135_0_89 = 0 % 180.87/125.07 | % 180.87/125.07 | Equations (261) can reduce 230 to: % 180.87/125.07 | (173) $false % 180.87/125.07 | % 180.87/125.07 |-The branch is then unsatisfiable % 180.87/125.07 |-Branch two: % 180.87/125.07 | (3440) all_391_0_448 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3440) yields: % 180.87/125.07 | (3386) all_391_0_448 = 0 % 180.87/125.07 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.87/125.07 | (815) all_85_1_76 = all_0_9_9 % 180.87/125.07 | % 180.87/125.07 | From (815) and (182) follows: % 180.87/125.07 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.87/125.07 | % 180.87/125.07 +-Applying beta-rule and splitting (3374), into two cases. % 180.87/125.07 |-Branch one: % 180.87/125.07 | (3390) all_399_0_449 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3390) yields: % 180.87/125.07 | (3391) all_399_0_449 = 0 % 180.87/125.07 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.87/125.07 | (376) all_135_1_90 = all_0_3_3 % 180.87/125.07 | % 180.87/125.07 | From (376) and (232) follows: % 180.87/125.07 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.87/125.07 | (233) all_110_0_83 = 0 % 180.87/125.07 | % 180.87/125.07 | Equations (233) can reduce 209 to: % 180.87/125.07 | (173) $false % 180.87/125.07 | % 180.87/125.07 |-The branch is then unsatisfiable % 180.87/125.07 |-Branch two: % 180.87/125.07 | (3397) all_399_0_449 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3397) yields: % 180.87/125.07 | (3391) all_399_0_449 = 0 % 180.87/125.07 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.87/125.07 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.87/125.07 | % 180.87/125.07 | Instantiating (383) with all_453_0_457 yields: % 180.87/125.07 | (3456) (all_453_0_457 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_453_0_457 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.87/125.07 | % 180.87/125.07 +-Applying beta-rule and splitting (3384), into two cases. % 180.87/125.07 |-Branch one: % 180.87/125.07 | (3402) all_418_0_450 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3402) yields: % 180.87/125.07 | (3403) all_418_0_450 = 0 % 180.87/125.07 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.87/125.07 | (501) all_226_1_115 = all_0_3_3 % 180.87/125.07 | % 180.87/125.07 | From (501) and (302) follows: % 180.87/125.07 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.87/125.07 | (233) all_110_0_83 = 0 % 180.87/125.07 | % 180.87/125.07 | Equations (233) can reduce 209 to: % 180.87/125.07 | (173) $false % 180.87/125.07 | % 180.87/125.07 |-The branch is then unsatisfiable % 180.87/125.07 |-Branch two: % 180.87/125.07 | (3409) all_418_0_450 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3409) yields: % 180.87/125.07 | (3403) all_418_0_450 = 0 % 180.87/125.07 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.87/125.07 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.87/125.07 | % 180.87/125.07 | Instantiating (508) with all_461_0_458 yields: % 180.87/125.07 | (3468) (all_461_0_458 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_458 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.87/125.07 | % 180.87/125.07 +-Applying beta-rule and splitting (3456), into two cases. % 180.87/125.07 |-Branch one: % 180.87/125.07 | (3469) all_453_0_457 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3469) yields: % 180.87/125.07 | (3470) all_453_0_457 = 0 % 180.87/125.07 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.87/125.07 | (405) all_135_1_90 = all_0_6_6 % 180.87/125.07 | % 180.87/125.07 | From (405) and (231) follows: % 180.87/125.07 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 180.87/125.07 | % 180.87/125.07 +-Applying beta-rule and splitting (3468), into two cases. % 180.87/125.07 |-Branch one: % 180.87/125.07 | (3474) all_461_0_458 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3474) yields: % 180.87/125.07 | (3475) all_461_0_458 = 0 % 180.87/125.07 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.87/125.07 | (525) all_226_1_115 = all_0_6_6 % 180.87/125.07 | % 180.87/125.07 | From (525) and (295) follows: % 180.87/125.07 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 180.87/125.07 | (261) all_135_0_89 = 0 % 180.87/125.07 | % 180.87/125.07 | Equations (261) can reduce 230 to: % 180.87/125.07 | (173) $false % 180.87/125.07 | % 180.87/125.07 |-The branch is then unsatisfiable % 180.87/125.07 |-Branch two: % 180.87/125.07 | (3481) all_461_0_458 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3481) yields: % 180.87/125.07 | (3475) all_461_0_458 = 0 % 180.87/125.07 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.87/125.07 | (532) all_226_1_115 = all_0_9_9 % 180.87/125.07 | % 180.87/125.07 | From (532) and (308) follows: % 180.87/125.07 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.87/125.07 | (212) all_85_0_75 = 0 % 180.87/125.07 | % 180.87/125.07 | Equations (212) can reduce 181 to: % 180.87/125.07 | (173) $false % 180.87/125.07 | % 180.87/125.07 |-The branch is then unsatisfiable % 180.87/125.07 |-Branch two: % 180.87/125.07 | (3488) all_453_0_457 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Applying alpha-rule on (3488) yields: % 180.87/125.07 | (3470) all_453_0_457 = 0 % 180.87/125.07 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.87/125.07 | (412) all_135_1_90 = all_0_9_9 % 180.87/125.07 | % 180.87/125.07 | From (412) and (241) follows: % 180.87/125.07 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.87/125.07 | % 180.87/125.07 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.87/125.07 | (212) all_85_0_75 = 0 % 180.87/125.07 | % 180.87/125.07 | Equations (212) can reduce 181 to: % 180.87/125.07 | (173) $false % 180.87/125.07 | % 180.87/125.07 |-The branch is then unsatisfiable % 180.87/125.07 |-Branch two: % 180.87/125.07 | (3099) all_367_0_416 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3099) yields: % 180.87/125.08 | (2997) all_367_0_416 = 0 % 180.87/125.08 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 180.87/125.08 | (582) all_226_1_115 = all_0_5_5 % 180.87/125.08 | % 180.87/125.08 | From (582) and (286) follows: % 180.87/125.08 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 180.87/125.08 | % 180.87/125.08 +-Applying beta-rule and splitting (2973), into two cases. % 180.87/125.08 |-Branch one: % 180.87/125.08 | (3104) all_375_0_417 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3104) yields: % 180.87/125.08 | (3105) all_375_0_417 = 0 % 180.87/125.08 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 180.87/125.08 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 180.87/125.08 | % 180.87/125.08 | Instantiating (1787) with all_429_0_461 yields: % 180.87/125.08 | (3504) (all_429_0_461 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_461 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 180.87/125.08 | % 180.87/125.08 +-Applying beta-rule and splitting (3369), into two cases. % 180.87/125.08 |-Branch one: % 180.87/125.08 | (3385) all_391_0_448 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3385) yields: % 180.87/125.08 | (3386) all_391_0_448 = 0 % 180.87/125.08 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.87/125.08 | (760) all_85_1_76 = all_0_6_6 % 180.87/125.08 | % 180.87/125.08 | From (760) and (182) follows: % 180.87/125.08 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.87/125.08 | % 180.87/125.08 +-Applying beta-rule and splitting (3374), into two cases. % 180.87/125.08 |-Branch one: % 180.87/125.08 | (3390) all_399_0_449 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3390) yields: % 180.87/125.08 | (3391) all_399_0_449 = 0 % 180.87/125.08 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.87/125.08 | (376) all_135_1_90 = all_0_3_3 % 180.87/125.08 | % 180.87/125.08 | From (376) and (232) follows: % 180.87/125.08 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.87/125.08 | (233) all_110_0_83 = 0 % 180.87/125.08 | % 180.87/125.08 | Equations (233) can reduce 209 to: % 180.87/125.08 | (173) $false % 180.87/125.08 | % 180.87/125.08 |-The branch is then unsatisfiable % 180.87/125.08 |-Branch two: % 180.87/125.08 | (3397) all_399_0_449 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3397) yields: % 180.87/125.08 | (3391) all_399_0_449 = 0 % 180.87/125.08 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.87/125.08 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.87/125.08 | % 180.87/125.08 | Instantiating (383) with all_456_0_463 yields: % 180.87/125.08 | (3521) (all_456_0_463 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_456_0_463 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.87/125.08 | % 180.87/125.08 +-Applying beta-rule and splitting (3504), into two cases. % 180.87/125.08 |-Branch one: % 180.87/125.08 | (3522) all_429_0_461 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3522) yields: % 180.87/125.08 | (3523) all_429_0_461 = 0 % 180.87/125.08 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.87/125.08 | (1809) all_205_2_109 = all_0_3_3 % 180.87/125.08 | % 180.87/125.08 | From (1809) and (309) follows: % 180.87/125.08 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.87/125.08 | (233) all_110_0_83 = 0 % 180.87/125.08 | % 180.87/125.08 | Equations (233) can reduce 209 to: % 180.87/125.08 | (173) $false % 180.87/125.08 | % 180.87/125.08 |-The branch is then unsatisfiable % 180.87/125.08 |-Branch two: % 180.87/125.08 | (3529) all_429_0_461 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3529) yields: % 180.87/125.08 | (3523) all_429_0_461 = 0 % 180.87/125.08 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.87/125.08 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.87/125.08 | % 180.87/125.08 | Instantiating (1816) with all_464_0_464 yields: % 180.87/125.08 | (3533) (all_464_0_464 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_464 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.87/125.08 | % 180.87/125.08 +-Applying beta-rule and splitting (3521), into two cases. % 180.87/125.08 |-Branch one: % 180.87/125.08 | (3534) all_456_0_463 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3534) yields: % 180.87/125.08 | (3535) all_456_0_463 = 0 % 180.87/125.08 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.87/125.08 | (405) all_135_1_90 = all_0_6_6 % 180.87/125.08 | % 180.87/125.08 | From (405) and (241) follows: % 180.87/125.08 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.87/125.08 | (212) all_85_0_75 = 0 % 180.87/125.08 | % 180.87/125.08 | Equations (212) can reduce 181 to: % 180.87/125.08 | (173) $false % 180.87/125.08 | % 180.87/125.08 |-The branch is then unsatisfiable % 180.87/125.08 |-Branch two: % 180.87/125.08 | (3541) all_456_0_463 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3541) yields: % 180.87/125.08 | (3535) all_456_0_463 = 0 % 180.87/125.08 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.87/125.08 | (412) all_135_1_90 = all_0_9_9 % 180.87/125.08 | % 180.87/125.08 | From (412) and (231) follows: % 180.87/125.08 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 180.87/125.08 | % 180.87/125.08 +-Applying beta-rule and splitting (3533), into two cases. % 180.87/125.08 |-Branch one: % 180.87/125.08 | (3546) all_464_0_464 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3546) yields: % 180.87/125.08 | (3547) all_464_0_464 = 0 % 180.87/125.08 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.87/125.08 | (1833) all_205_2_109 = all_0_6_6 % 180.87/125.08 | % 180.87/125.08 | From (1833) and (315) follows: % 180.87/125.08 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.87/125.08 | (212) all_85_0_75 = 0 % 180.87/125.08 | % 180.87/125.08 | Equations (212) can reduce 181 to: % 180.87/125.08 | (173) $false % 180.87/125.08 | % 180.87/125.08 |-The branch is then unsatisfiable % 180.87/125.08 |-Branch two: % 180.87/125.08 | (3553) all_464_0_464 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3553) yields: % 180.87/125.08 | (3547) all_464_0_464 = 0 % 180.87/125.08 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.87/125.08 | (1840) all_205_2_109 = all_0_9_9 % 180.87/125.08 | % 180.87/125.08 | From (1840) and (303) follows: % 180.87/125.08 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 180.87/125.08 | (261) all_135_0_89 = 0 % 180.87/125.08 | % 180.87/125.08 | Equations (261) can reduce 230 to: % 180.87/125.08 | (173) $false % 180.87/125.08 | % 180.87/125.08 |-The branch is then unsatisfiable % 180.87/125.08 |-Branch two: % 180.87/125.08 | (3440) all_391_0_448 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3440) yields: % 180.87/125.08 | (3386) all_391_0_448 = 0 % 180.87/125.08 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.87/125.08 | (815) all_85_1_76 = all_0_9_9 % 180.87/125.08 | % 180.87/125.08 | From (815) and (182) follows: % 180.87/125.08 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.87/125.08 | % 180.87/125.08 +-Applying beta-rule and splitting (3374), into two cases. % 180.87/125.08 |-Branch one: % 180.87/125.08 | (3390) all_399_0_449 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.08 | % 180.87/125.08 | Applying alpha-rule on (3390) yields: % 180.87/125.08 | (3391) all_399_0_449 = 0 % 180.87/125.08 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.87/125.08 | (376) all_135_1_90 = all_0_3_3 % 180.87/125.08 | % 180.87/125.08 | From (376) and (232) follows: % 180.87/125.08 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.87/125.08 | % 180.87/125.08 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.87/125.08 | (233) all_110_0_83 = 0 % 180.87/125.08 | % 180.87/125.08 | Equations (233) can reduce 209 to: % 180.87/125.08 | (173) $false % 180.87/125.08 | % 180.87/125.08 |-The branch is then unsatisfiable % 180.87/125.08 |-Branch two: % 180.87/125.08 | (3397) all_399_0_449 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3397) yields: % 180.87/125.09 | (3391) all_399_0_449 = 0 % 180.87/125.09 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.87/125.09 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.87/125.09 | % 180.87/125.09 | Instantiating (383) with all_456_0_466 yields: % 180.87/125.09 | (3576) (all_456_0_466 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_456_0_466 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.87/125.09 | % 180.87/125.09 +-Applying beta-rule and splitting (3504), into two cases. % 180.87/125.09 |-Branch one: % 180.87/125.09 | (3522) all_429_0_461 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3522) yields: % 180.87/125.09 | (3523) all_429_0_461 = 0 % 180.87/125.09 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 180.87/125.09 | (1809) all_205_2_109 = all_0_3_3 % 180.87/125.09 | % 180.87/125.09 | From (1809) and (309) follows: % 180.87/125.09 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 180.87/125.09 | (233) all_110_0_83 = 0 % 180.87/125.09 | % 180.87/125.09 | Equations (233) can reduce 209 to: % 180.87/125.09 | (173) $false % 180.87/125.09 | % 180.87/125.09 |-The branch is then unsatisfiable % 180.87/125.09 |-Branch two: % 180.87/125.09 | (3529) all_429_0_461 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3529) yields: % 180.87/125.09 | (3523) all_429_0_461 = 0 % 180.87/125.09 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 180.87/125.09 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 180.87/125.09 | % 180.87/125.09 | Instantiating (1816) with all_464_0_467 yields: % 180.87/125.09 | (3588) (all_464_0_467 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_467 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 180.87/125.09 | % 180.87/125.09 +-Applying beta-rule and splitting (3576), into two cases. % 180.87/125.09 |-Branch one: % 180.87/125.09 | (3589) all_456_0_466 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3589) yields: % 180.87/125.09 | (3590) all_456_0_466 = 0 % 180.87/125.09 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.87/125.09 | (405) all_135_1_90 = all_0_6_6 % 180.87/125.09 | % 180.87/125.09 | From (405) and (231) follows: % 180.87/125.09 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 180.87/125.09 | % 180.87/125.09 +-Applying beta-rule and splitting (3588), into two cases. % 180.87/125.09 |-Branch one: % 180.87/125.09 | (3594) all_464_0_467 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3594) yields: % 180.87/125.09 | (3595) all_464_0_467 = 0 % 180.87/125.09 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 180.87/125.09 | (1833) all_205_2_109 = all_0_6_6 % 180.87/125.09 | % 180.87/125.09 | From (1833) and (303) follows: % 180.87/125.09 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 180.87/125.09 | (261) all_135_0_89 = 0 % 180.87/125.09 | % 180.87/125.09 | Equations (261) can reduce 230 to: % 180.87/125.09 | (173) $false % 180.87/125.09 | % 180.87/125.09 |-The branch is then unsatisfiable % 180.87/125.09 |-Branch two: % 180.87/125.09 | (3601) all_464_0_467 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3601) yields: % 180.87/125.09 | (3595) all_464_0_467 = 0 % 180.87/125.09 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 180.87/125.09 | (1840) all_205_2_109 = all_0_9_9 % 180.87/125.09 | % 180.87/125.09 | From (1840) and (315) follows: % 180.87/125.09 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.87/125.09 | (212) all_85_0_75 = 0 % 180.87/125.09 | % 180.87/125.09 | Equations (212) can reduce 181 to: % 180.87/125.09 | (173) $false % 180.87/125.09 | % 180.87/125.09 |-The branch is then unsatisfiable % 180.87/125.09 |-Branch two: % 180.87/125.09 | (3608) all_456_0_466 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3608) yields: % 180.87/125.09 | (3590) all_456_0_466 = 0 % 180.87/125.09 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.87/125.09 | (412) all_135_1_90 = all_0_9_9 % 180.87/125.09 | % 180.87/125.09 | From (412) and (241) follows: % 180.87/125.09 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 180.87/125.09 | (212) all_85_0_75 = 0 % 180.87/125.09 | % 180.87/125.09 | Equations (212) can reduce 181 to: % 180.87/125.09 | (173) $false % 180.87/125.09 | % 180.87/125.09 |-The branch is then unsatisfiable % 180.87/125.09 |-Branch two: % 180.87/125.09 | (3207) all_375_0_417 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3207) yields: % 180.87/125.09 | (3105) all_375_0_417 = 0 % 180.87/125.09 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 180.87/125.09 | (1890) all_205_2_109 = all_0_5_5 % 180.87/125.09 | % 180.87/125.09 | From (1890) and (275) follows: % 180.87/125.09 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 180.87/125.09 | (2957) all_226_0_114 = 0 % 180.87/125.09 | % 180.87/125.09 | Equations (2957) can reduce 285 to: % 180.87/125.09 | (173) $false % 180.87/125.09 | % 180.87/125.09 |-The branch is then unsatisfiable % 180.87/125.09 |-Branch two: % 180.87/125.09 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (363) yields: % 180.87/125.09 | (357) all_348_0_134 = 0 % 180.87/125.09 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 180.87/125.09 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 180.87/125.09 | % 180.87/125.09 | Instantiating (366) with all_407_0_469 yields: % 180.87/125.09 | (3626) (all_407_0_469 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_407_0_469 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 180.87/125.09 | % 180.87/125.09 +-Applying beta-rule and splitting (2968), into two cases. % 180.87/125.09 |-Branch one: % 180.87/125.09 | (2996) all_367_0_416 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (2996) yields: % 180.87/125.09 | (2997) all_367_0_416 = 0 % 180.87/125.09 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 180.87/125.09 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 180.87/125.09 | % 180.87/125.09 | Instantiating (479) with all_415_0_470 yields: % 180.87/125.09 | (3631) (all_415_0_470 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_415_0_470 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 180.87/125.09 | % 180.87/125.09 +-Applying beta-rule and splitting (3369), into two cases. % 180.87/125.09 |-Branch one: % 180.87/125.09 | (3385) all_391_0_448 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3385) yields: % 180.87/125.09 | (3386) all_391_0_448 = 0 % 180.87/125.09 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 180.87/125.09 | (760) all_85_1_76 = all_0_6_6 % 180.87/125.09 | % 180.87/125.09 | From (760) and (182) follows: % 180.87/125.09 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 180.87/125.09 | % 180.87/125.09 +-Applying beta-rule and splitting (3374), into two cases. % 180.87/125.09 |-Branch one: % 180.87/125.09 | (3390) all_399_0_449 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3390) yields: % 180.87/125.09 | (3391) all_399_0_449 = 0 % 180.87/125.09 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.09 | % 180.87/125.09 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 180.87/125.09 | (376) all_135_1_90 = all_0_3_3 % 180.87/125.09 | % 180.87/125.09 | From (376) and (231) follows: % 180.87/125.09 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 180.87/125.09 | % 180.87/125.09 +-Applying beta-rule and splitting (3626), into two cases. % 180.87/125.09 |-Branch one: % 180.87/125.09 | (3642) all_407_0_469 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.09 | % 180.87/125.09 | Applying alpha-rule on (3642) yields: % 180.87/125.09 | (3643) all_407_0_469 = 0 % 180.87/125.10 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.87/125.10 | (388) all_110_1_84 = all_0_6_6 % 180.87/125.10 | % 180.87/125.10 | From (388) and (211) follows: % 180.87/125.10 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.87/125.10 | (212) all_85_0_75 = 0 % 180.87/125.10 | % 180.87/125.10 | Equations (212) can reduce 181 to: % 180.87/125.10 | (173) $false % 180.87/125.10 | % 180.87/125.10 |-The branch is then unsatisfiable % 180.87/125.10 |-Branch two: % 180.87/125.10 | (3649) all_407_0_469 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3649) yields: % 180.87/125.10 | (3643) all_407_0_469 = 0 % 180.87/125.10 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.87/125.10 | (431) all_110_1_84 = all_0_9_9 % 180.87/125.10 | % 180.87/125.10 | From (431) and (210) follows: % 180.87/125.10 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.87/125.10 | % 180.87/125.10 +-Applying beta-rule and splitting (3631), into two cases. % 180.87/125.10 |-Branch one: % 180.87/125.10 | (3654) all_415_0_470 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3654) yields: % 180.87/125.10 | (3655) all_415_0_470 = 0 % 180.87/125.10 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 180.87/125.10 | (501) all_226_1_115 = all_0_3_3 % 180.87/125.10 | % 180.87/125.10 | From (501) and (295) follows: % 180.87/125.10 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 180.87/125.10 | (261) all_135_0_89 = 0 % 180.87/125.10 | % 180.87/125.10 | Equations (261) can reduce 230 to: % 180.87/125.10 | (173) $false % 180.87/125.10 | % 180.87/125.10 |-The branch is then unsatisfiable % 180.87/125.10 |-Branch two: % 180.87/125.10 | (3661) all_415_0_470 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3661) yields: % 180.87/125.10 | (3655) all_415_0_470 = 0 % 180.87/125.10 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 180.87/125.10 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 180.87/125.10 | % 180.87/125.10 | Instantiating (508) with all_472_0_473 yields: % 180.87/125.10 | (3665) (all_472_0_473 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_472_0_473 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 180.87/125.10 | % 180.87/125.10 +-Applying beta-rule and splitting (3665), into two cases. % 180.87/125.10 |-Branch one: % 180.87/125.10 | (3666) all_472_0_473 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3666) yields: % 180.87/125.10 | (3667) all_472_0_473 = 0 % 180.87/125.10 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 180.87/125.10 | (525) all_226_1_115 = all_0_6_6 % 180.87/125.10 | % 180.87/125.10 | From (525) and (308) follows: % 180.87/125.10 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.87/125.10 | (212) all_85_0_75 = 0 % 180.87/125.10 | % 180.87/125.10 | Equations (212) can reduce 181 to: % 180.87/125.10 | (173) $false % 180.87/125.10 | % 180.87/125.10 |-The branch is then unsatisfiable % 180.87/125.10 |-Branch two: % 180.87/125.10 | (3673) all_472_0_473 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3673) yields: % 180.87/125.10 | (3667) all_472_0_473 = 0 % 180.87/125.10 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 180.87/125.10 | (532) all_226_1_115 = all_0_9_9 % 180.87/125.10 | % 180.87/125.10 | From (532) and (302) follows: % 180.87/125.10 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.87/125.10 | (233) all_110_0_83 = 0 % 180.87/125.10 | % 180.87/125.10 | Equations (233) can reduce 209 to: % 180.87/125.10 | (173) $false % 180.87/125.10 | % 180.87/125.10 |-The branch is then unsatisfiable % 180.87/125.10 |-Branch two: % 180.87/125.10 | (3397) all_399_0_449 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3397) yields: % 180.87/125.10 | (3391) all_399_0_449 = 0 % 180.87/125.10 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 180.87/125.10 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 180.87/125.10 | % 180.87/125.10 | Instantiating (383) with all_450_0_476 yields: % 180.87/125.10 | (3684) (all_450_0_476 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_450_0_476 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 180.87/125.10 | % 180.87/125.10 +-Applying beta-rule and splitting (3626), into two cases. % 180.87/125.10 |-Branch one: % 180.87/125.10 | (3642) all_407_0_469 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3642) yields: % 180.87/125.10 | (3643) all_407_0_469 = 0 % 180.87/125.10 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 180.87/125.10 | (388) all_110_1_84 = all_0_6_6 % 180.87/125.10 | % 180.87/125.10 | From (388) and (211) follows: % 180.87/125.10 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.87/125.10 | (212) all_85_0_75 = 0 % 180.87/125.10 | % 180.87/125.10 | Equations (212) can reduce 181 to: % 180.87/125.10 | (173) $false % 180.87/125.10 | % 180.87/125.10 |-The branch is then unsatisfiable % 180.87/125.10 |-Branch two: % 180.87/125.10 | (3649) all_407_0_469 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3649) yields: % 180.87/125.10 | (3643) all_407_0_469 = 0 % 180.87/125.10 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 180.87/125.10 | (431) all_110_1_84 = all_0_9_9 % 180.87/125.10 | % 180.87/125.10 | From (431) and (210) follows: % 180.87/125.10 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 180.87/125.10 | % 180.87/125.10 +-Applying beta-rule and splitting (3684), into two cases. % 180.87/125.10 |-Branch one: % 180.87/125.10 | (3697) all_450_0_476 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3697) yields: % 180.87/125.10 | (3698) all_450_0_476 = 0 % 180.87/125.10 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 180.87/125.10 | (405) all_135_1_90 = all_0_6_6 % 180.87/125.10 | % 180.87/125.10 | From (405) and (241) follows: % 180.87/125.10 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 180.87/125.10 | (212) all_85_0_75 = 0 % 180.87/125.10 | % 180.87/125.10 | Equations (212) can reduce 181 to: % 180.87/125.10 | (173) $false % 180.87/125.10 | % 180.87/125.10 |-The branch is then unsatisfiable % 180.87/125.10 |-Branch two: % 180.87/125.10 | (3704) all_450_0_476 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3704) yields: % 180.87/125.10 | (3698) all_450_0_476 = 0 % 180.87/125.10 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 180.87/125.10 | (412) all_135_1_90 = all_0_9_9 % 180.87/125.10 | % 180.87/125.10 | From (412) and (232) follows: % 180.87/125.10 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 180.87/125.10 | (233) all_110_0_83 = 0 % 180.87/125.10 | % 180.87/125.10 | Equations (233) can reduce 209 to: % 180.87/125.10 | (173) $false % 180.87/125.10 | % 180.87/125.10 |-The branch is then unsatisfiable % 180.87/125.10 |-Branch two: % 180.87/125.10 | (3440) all_391_0_448 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Applying alpha-rule on (3440) yields: % 180.87/125.10 | (3386) all_391_0_448 = 0 % 180.87/125.10 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 180.87/125.10 | % 180.87/125.10 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 180.87/125.10 | (815) all_85_1_76 = all_0_9_9 % 180.87/125.10 | % 180.87/125.10 | From (815) and (182) follows: % 180.87/125.10 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 180.87/125.10 | % 180.87/125.10 +-Applying beta-rule and splitting (3374), into two cases. % 180.87/125.10 |-Branch one: % 180.87/125.10 | (3390) all_399_0_449 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 180.87/125.10 | % 181.20/125.10 | Applying alpha-rule on (3390) yields: % 181.20/125.10 | (3391) all_399_0_449 = 0 % 181.20/125.10 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.20/125.10 | % 181.20/125.10 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.20/125.10 | (376) all_135_1_90 = all_0_3_3 % 181.20/125.10 | % 181.20/125.10 | From (376) and (231) follows: % 181.20/125.10 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 181.20/125.10 | % 181.20/125.10 +-Applying beta-rule and splitting (3626), into two cases. % 181.20/125.10 |-Branch one: % 181.20/125.10 | (3642) all_407_0_469 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.10 | % 181.20/125.10 | Applying alpha-rule on (3642) yields: % 181.20/125.10 | (3643) all_407_0_469 = 0 % 181.20/125.10 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.10 | % 181.20/125.10 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 181.20/125.10 | (388) all_110_1_84 = all_0_6_6 % 181.20/125.10 | % 181.20/125.10 | From (388) and (210) follows: % 181.20/125.10 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 181.20/125.10 | % 181.20/125.10 +-Applying beta-rule and splitting (3631), into two cases. % 181.20/125.10 |-Branch one: % 181.20/125.10 | (3654) all_415_0_470 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.10 | % 181.20/125.10 | Applying alpha-rule on (3654) yields: % 181.20/125.10 | (3655) all_415_0_470 = 0 % 181.20/125.10 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.20/125.11 | (501) all_226_1_115 = all_0_3_3 % 181.20/125.11 | % 181.20/125.11 | From (501) and (295) follows: % 181.20/125.11 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.20/125.11 | (261) all_135_0_89 = 0 % 181.20/125.11 | % 181.20/125.11 | Equations (261) can reduce 230 to: % 181.20/125.11 | (173) $false % 181.20/125.11 | % 181.20/125.11 |-The branch is then unsatisfiable % 181.20/125.11 |-Branch two: % 181.20/125.11 | (3661) all_415_0_470 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3661) yields: % 181.20/125.11 | (3655) all_415_0_470 = 0 % 181.20/125.11 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.20/125.11 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.20/125.11 | % 181.20/125.11 | Instantiating (508) with all_472_0_479 yields: % 181.20/125.11 | (3737) (all_472_0_479 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_472_0_479 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.20/125.11 | % 181.20/125.11 +-Applying beta-rule and splitting (3737), into two cases. % 181.20/125.11 |-Branch one: % 181.20/125.11 | (3738) all_472_0_479 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3738) yields: % 181.20/125.11 | (3739) all_472_0_479 = 0 % 181.20/125.11 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.20/125.11 | (525) all_226_1_115 = all_0_6_6 % 181.20/125.11 | % 181.20/125.11 | From (525) and (302) follows: % 181.20/125.11 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 181.20/125.11 | (233) all_110_0_83 = 0 % 181.20/125.11 | % 181.20/125.11 | Equations (233) can reduce 209 to: % 181.20/125.11 | (173) $false % 181.20/125.11 | % 181.20/125.11 |-The branch is then unsatisfiable % 181.20/125.11 |-Branch two: % 181.20/125.11 | (3745) all_472_0_479 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3745) yields: % 181.20/125.11 | (3739) all_472_0_479 = 0 % 181.20/125.11 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.20/125.11 | (532) all_226_1_115 = all_0_9_9 % 181.20/125.11 | % 181.20/125.11 | From (532) and (308) follows: % 181.20/125.11 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.11 | (212) all_85_0_75 = 0 % 181.20/125.11 | % 181.20/125.11 | Equations (212) can reduce 181 to: % 181.20/125.11 | (173) $false % 181.20/125.11 | % 181.20/125.11 |-The branch is then unsatisfiable % 181.20/125.11 |-Branch two: % 181.20/125.11 | (3649) all_407_0_469 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3649) yields: % 181.20/125.11 | (3643) all_407_0_469 = 0 % 181.20/125.11 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 181.20/125.11 | (431) all_110_1_84 = all_0_9_9 % 181.20/125.11 | % 181.20/125.11 | From (431) and (211) follows: % 181.20/125.11 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.11 | (212) all_85_0_75 = 0 % 181.20/125.11 | % 181.20/125.11 | Equations (212) can reduce 181 to: % 181.20/125.11 | (173) $false % 181.20/125.11 | % 181.20/125.11 |-The branch is then unsatisfiable % 181.20/125.11 |-Branch two: % 181.20/125.11 | (3397) all_399_0_449 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3397) yields: % 181.20/125.11 | (3391) all_399_0_449 = 0 % 181.20/125.11 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.20/125.11 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.20/125.11 | % 181.20/125.11 | Instantiating (383) with all_450_0_482 yields: % 181.20/125.11 | (3763) (all_450_0_482 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_450_0_482 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.20/125.11 | % 181.20/125.11 +-Applying beta-rule and splitting (3626), into two cases. % 181.20/125.11 |-Branch one: % 181.20/125.11 | (3642) all_407_0_469 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3642) yields: % 181.20/125.11 | (3643) all_407_0_469 = 0 % 181.20/125.11 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 181.20/125.11 | (388) all_110_1_84 = all_0_6_6 % 181.20/125.11 | % 181.20/125.11 | From (388) and (210) follows: % 181.20/125.11 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 181.20/125.11 | % 181.20/125.11 +-Applying beta-rule and splitting (3763), into two cases. % 181.20/125.11 |-Branch one: % 181.20/125.11 | (3769) all_450_0_482 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3769) yields: % 181.20/125.11 | (3770) all_450_0_482 = 0 % 181.20/125.11 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.20/125.11 | (405) all_135_1_90 = all_0_6_6 % 181.20/125.11 | % 181.20/125.11 | From (405) and (232) follows: % 181.20/125.11 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 181.20/125.11 | (233) all_110_0_83 = 0 % 181.20/125.11 | % 181.20/125.11 | Equations (233) can reduce 209 to: % 181.20/125.11 | (173) $false % 181.20/125.11 | % 181.20/125.11 |-The branch is then unsatisfiable % 181.20/125.11 |-Branch two: % 181.20/125.11 | (3776) all_450_0_482 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3776) yields: % 181.20/125.11 | (3770) all_450_0_482 = 0 % 181.20/125.11 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.20/125.11 | (412) all_135_1_90 = all_0_9_9 % 181.20/125.11 | % 181.20/125.11 | From (412) and (241) follows: % 181.20/125.11 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.11 | (212) all_85_0_75 = 0 % 181.20/125.11 | % 181.20/125.11 | Equations (212) can reduce 181 to: % 181.20/125.11 | (173) $false % 181.20/125.11 | % 181.20/125.11 |-The branch is then unsatisfiable % 181.20/125.11 |-Branch two: % 181.20/125.11 | (3649) all_407_0_469 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3649) yields: % 181.20/125.11 | (3643) all_407_0_469 = 0 % 181.20/125.11 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 181.20/125.11 | (431) all_110_1_84 = all_0_9_9 % 181.20/125.11 | % 181.20/125.11 | From (431) and (211) follows: % 181.20/125.11 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.11 | (212) all_85_0_75 = 0 % 181.20/125.11 | % 181.20/125.11 | Equations (212) can reduce 181 to: % 181.20/125.11 | (173) $false % 181.20/125.11 | % 181.20/125.11 |-The branch is then unsatisfiable % 181.20/125.11 |-Branch two: % 181.20/125.11 | (3099) all_367_0_416 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3099) yields: % 181.20/125.11 | (2997) all_367_0_416 = 0 % 181.20/125.11 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 181.20/125.11 | (582) all_226_1_115 = all_0_5_5 % 181.20/125.11 | % 181.20/125.11 | From (582) and (286) follows: % 181.20/125.11 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 181.20/125.11 | % 181.20/125.11 +-Applying beta-rule and splitting (2973), into two cases. % 181.20/125.11 |-Branch one: % 181.20/125.11 | (3104) all_375_0_417 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3104) yields: % 181.20/125.11 | (3105) all_375_0_417 = 0 % 181.20/125.11 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 181.20/125.11 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 181.20/125.11 | % 181.20/125.11 | Instantiating (1787) with all_426_0_485 yields: % 181.20/125.11 | (3799) (all_426_0_485 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_426_0_485 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 181.20/125.11 | % 181.20/125.11 +-Applying beta-rule and splitting (3369), into two cases. % 181.20/125.11 |-Branch one: % 181.20/125.11 | (3385) all_391_0_448 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3385) yields: % 181.20/125.11 | (3386) all_391_0_448 = 0 % 181.20/125.11 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 181.20/125.11 | (760) all_85_1_76 = all_0_6_6 % 181.20/125.11 | % 181.20/125.11 | From (760) and (182) follows: % 181.20/125.11 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 181.20/125.11 | % 181.20/125.11 +-Applying beta-rule and splitting (3374), into two cases. % 181.20/125.11 |-Branch one: % 181.20/125.11 | (3390) all_399_0_449 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.20/125.11 | % 181.20/125.11 | Applying alpha-rule on (3390) yields: % 181.20/125.11 | (3391) all_399_0_449 = 0 % 181.20/125.11 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.20/125.11 | % 181.20/125.11 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.20/125.11 | (376) all_135_1_90 = all_0_3_3 % 181.20/125.11 | % 181.20/125.11 | From (376) and (231) follows: % 181.20/125.11 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 181.20/125.11 | % 181.20/125.12 +-Applying beta-rule and splitting (3626), into two cases. % 181.20/125.12 |-Branch one: % 181.20/125.12 | (3642) all_407_0_469 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3642) yields: % 181.20/125.12 | (3643) all_407_0_469 = 0 % 181.20/125.12 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 181.20/125.12 | (388) all_110_1_84 = all_0_6_6 % 181.20/125.12 | % 181.20/125.12 | From (388) and (211) follows: % 181.20/125.12 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.20/125.12 | (212) all_85_0_75 = 0 % 181.20/125.12 | % 181.20/125.12 | Equations (212) can reduce 181 to: % 181.20/125.12 | (173) $false % 181.20/125.12 | % 181.20/125.12 |-The branch is then unsatisfiable % 181.20/125.12 |-Branch two: % 181.20/125.12 | (3649) all_407_0_469 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3649) yields: % 181.20/125.12 | (3643) all_407_0_469 = 0 % 181.20/125.12 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 181.20/125.12 | (431) all_110_1_84 = all_0_9_9 % 181.20/125.12 | % 181.20/125.12 | From (431) and (210) follows: % 181.20/125.12 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 181.20/125.12 | % 181.20/125.12 +-Applying beta-rule and splitting (3799), into two cases. % 181.20/125.12 |-Branch one: % 181.20/125.12 | (3822) all_426_0_485 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3822) yields: % 181.20/125.12 | (3823) all_426_0_485 = 0 % 181.20/125.12 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.20/125.12 | (1809) all_205_2_109 = all_0_3_3 % 181.20/125.12 | % 181.20/125.12 | From (1809) and (303) follows: % 181.20/125.12 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.20/125.12 | (261) all_135_0_89 = 0 % 181.20/125.12 | % 181.20/125.12 | Equations (261) can reduce 230 to: % 181.20/125.12 | (173) $false % 181.20/125.12 | % 181.20/125.12 |-The branch is then unsatisfiable % 181.20/125.12 |-Branch two: % 181.20/125.12 | (3829) all_426_0_485 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3829) yields: % 181.20/125.12 | (3823) all_426_0_485 = 0 % 181.20/125.12 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.20/125.12 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.20/125.12 | % 181.20/125.12 | Instantiating (1816) with all_475_0_487 yields: % 181.20/125.12 | (3833) (all_475_0_487 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_487 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.20/125.12 | % 181.20/125.12 +-Applying beta-rule and splitting (3833), into two cases. % 181.20/125.12 |-Branch one: % 181.20/125.12 | (3834) all_475_0_487 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3834) yields: % 181.20/125.12 | (3835) all_475_0_487 = 0 % 181.20/125.12 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.20/125.12 | (1833) all_205_2_109 = all_0_6_6 % 181.20/125.12 | % 181.20/125.12 | From (1833) and (315) follows: % 181.20/125.12 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.20/125.12 | (212) all_85_0_75 = 0 % 181.20/125.12 | % 181.20/125.12 | Equations (212) can reduce 181 to: % 181.20/125.12 | (173) $false % 181.20/125.12 | % 181.20/125.12 |-The branch is then unsatisfiable % 181.20/125.12 |-Branch two: % 181.20/125.12 | (3841) all_475_0_487 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3841) yields: % 181.20/125.12 | (3835) all_475_0_487 = 0 % 181.20/125.12 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.20/125.12 | (1840) all_205_2_109 = all_0_9_9 % 181.20/125.12 | % 181.20/125.12 | From (1840) and (309) follows: % 181.20/125.12 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 181.20/125.12 | (233) all_110_0_83 = 0 % 181.20/125.12 | % 181.20/125.12 | Equations (233) can reduce 209 to: % 181.20/125.12 | (173) $false % 181.20/125.12 | % 181.20/125.12 |-The branch is then unsatisfiable % 181.20/125.12 |-Branch two: % 181.20/125.12 | (3397) all_399_0_449 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3397) yields: % 181.20/125.12 | (3391) all_399_0_449 = 0 % 181.20/125.12 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.20/125.12 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.20/125.12 | % 181.20/125.12 | Instantiating (383) with all_453_0_489 yields: % 181.20/125.12 | (3852) (all_453_0_489 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_453_0_489 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.20/125.12 | % 181.20/125.12 +-Applying beta-rule and splitting (3626), into two cases. % 181.20/125.12 |-Branch one: % 181.20/125.12 | (3642) all_407_0_469 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3642) yields: % 181.20/125.12 | (3643) all_407_0_469 = 0 % 181.20/125.12 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 181.20/125.12 | (388) all_110_1_84 = all_0_6_6 % 181.20/125.12 | % 181.20/125.12 | From (388) and (211) follows: % 181.20/125.12 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.20/125.12 | (212) all_85_0_75 = 0 % 181.20/125.12 | % 181.20/125.12 | Equations (212) can reduce 181 to: % 181.20/125.12 | (173) $false % 181.20/125.12 | % 181.20/125.12 |-The branch is then unsatisfiable % 181.20/125.12 |-Branch two: % 181.20/125.12 | (3649) all_407_0_469 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3649) yields: % 181.20/125.12 | (3643) all_407_0_469 = 0 % 181.20/125.12 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 181.20/125.12 | (431) all_110_1_84 = all_0_9_9 % 181.20/125.12 | % 181.20/125.12 | From (431) and (210) follows: % 181.20/125.12 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 181.20/125.12 | % 181.20/125.12 +-Applying beta-rule and splitting (3852), into two cases. % 181.20/125.12 |-Branch one: % 181.20/125.12 | (3865) all_453_0_489 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3865) yields: % 181.20/125.12 | (3866) all_453_0_489 = 0 % 181.20/125.12 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.20/125.12 | (405) all_135_1_90 = all_0_6_6 % 181.20/125.12 | % 181.20/125.12 | From (405) and (241) follows: % 181.20/125.12 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.20/125.12 | (212) all_85_0_75 = 0 % 181.20/125.12 | % 181.20/125.12 | Equations (212) can reduce 181 to: % 181.20/125.12 | (173) $false % 181.20/125.12 | % 181.20/125.12 |-The branch is then unsatisfiable % 181.20/125.12 |-Branch two: % 181.20/125.12 | (3872) all_453_0_489 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3872) yields: % 181.20/125.12 | (3866) all_453_0_489 = 0 % 181.20/125.12 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.20/125.12 | (412) all_135_1_90 = all_0_9_9 % 181.20/125.12 | % 181.20/125.12 | From (412) and (232) follows: % 181.20/125.12 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 181.20/125.12 | (233) all_110_0_83 = 0 % 181.20/125.12 | % 181.20/125.12 | Equations (233) can reduce 209 to: % 181.20/125.12 | (173) $false % 181.20/125.12 | % 181.20/125.12 |-The branch is then unsatisfiable % 181.20/125.12 |-Branch two: % 181.20/125.12 | (3440) all_391_0_448 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3440) yields: % 181.20/125.12 | (3386) all_391_0_448 = 0 % 181.20/125.12 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 181.20/125.12 | (815) all_85_1_76 = all_0_9_9 % 181.20/125.12 | % 181.20/125.12 | From (815) and (182) follows: % 181.20/125.12 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 181.20/125.12 | % 181.20/125.12 +-Applying beta-rule and splitting (3374), into two cases. % 181.20/125.12 |-Branch one: % 181.20/125.12 | (3390) all_399_0_449 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3390) yields: % 181.20/125.12 | (3391) all_399_0_449 = 0 % 181.20/125.12 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.20/125.12 | (376) all_135_1_90 = all_0_3_3 % 181.20/125.12 | % 181.20/125.12 | From (376) and (231) follows: % 181.20/125.12 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 181.20/125.12 | % 181.20/125.12 +-Applying beta-rule and splitting (3626), into two cases. % 181.20/125.12 |-Branch one: % 181.20/125.12 | (3642) all_407_0_469 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3642) yields: % 181.20/125.12 | (3643) all_407_0_469 = 0 % 181.20/125.12 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.12 | % 181.20/125.12 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 181.20/125.12 | (388) all_110_1_84 = all_0_6_6 % 181.20/125.12 | % 181.20/125.12 | From (388) and (210) follows: % 181.20/125.12 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 181.20/125.12 | % 181.20/125.12 +-Applying beta-rule and splitting (3799), into two cases. % 181.20/125.12 |-Branch one: % 181.20/125.12 | (3822) all_426_0_485 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.12 | % 181.20/125.12 | Applying alpha-rule on (3822) yields: % 181.20/125.13 | (3823) all_426_0_485 = 0 % 181.20/125.13 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.20/125.13 | (1809) all_205_2_109 = all_0_3_3 % 181.20/125.13 | % 181.20/125.13 | From (1809) and (303) follows: % 181.20/125.13 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.20/125.13 | (261) all_135_0_89 = 0 % 181.20/125.13 | % 181.20/125.13 | Equations (261) can reduce 230 to: % 181.20/125.13 | (173) $false % 181.20/125.13 | % 181.20/125.13 |-The branch is then unsatisfiable % 181.20/125.13 |-Branch two: % 181.20/125.13 | (3829) all_426_0_485 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3829) yields: % 181.20/125.13 | (3823) all_426_0_485 = 0 % 181.20/125.13 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.20/125.13 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.20/125.13 | % 181.20/125.13 | Instantiating (1816) with all_475_0_503 yields: % 181.20/125.13 | (3905) (all_475_0_503 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_503 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.20/125.13 | % 181.20/125.13 +-Applying beta-rule and splitting (3905), into two cases. % 181.20/125.13 |-Branch one: % 181.20/125.13 | (3906) all_475_0_503 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3906) yields: % 181.20/125.13 | (3907) all_475_0_503 = 0 % 181.20/125.13 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.20/125.13 | (1833) all_205_2_109 = all_0_6_6 % 181.20/125.13 | % 181.20/125.13 | From (1833) and (309) follows: % 181.20/125.13 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 181.20/125.13 | (233) all_110_0_83 = 0 % 181.20/125.13 | % 181.20/125.13 | Equations (233) can reduce 209 to: % 181.20/125.13 | (173) $false % 181.20/125.13 | % 181.20/125.13 |-The branch is then unsatisfiable % 181.20/125.13 |-Branch two: % 181.20/125.13 | (3913) all_475_0_503 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3913) yields: % 181.20/125.13 | (3907) all_475_0_503 = 0 % 181.20/125.13 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.20/125.13 | (1840) all_205_2_109 = all_0_9_9 % 181.20/125.13 | % 181.20/125.13 | From (1840) and (315) follows: % 181.20/125.13 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.13 | (212) all_85_0_75 = 0 % 181.20/125.13 | % 181.20/125.13 | Equations (212) can reduce 181 to: % 181.20/125.13 | (173) $false % 181.20/125.13 | % 181.20/125.13 |-The branch is then unsatisfiable % 181.20/125.13 |-Branch two: % 181.20/125.13 | (3649) all_407_0_469 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3649) yields: % 181.20/125.13 | (3643) all_407_0_469 = 0 % 181.20/125.13 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 181.20/125.13 | (431) all_110_1_84 = all_0_9_9 % 181.20/125.13 | % 181.20/125.13 | From (431) and (211) follows: % 181.20/125.13 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.13 | (212) all_85_0_75 = 0 % 181.20/125.13 | % 181.20/125.13 | Equations (212) can reduce 181 to: % 181.20/125.13 | (173) $false % 181.20/125.13 | % 181.20/125.13 |-The branch is then unsatisfiable % 181.20/125.13 |-Branch two: % 181.20/125.13 | (3397) all_399_0_449 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3397) yields: % 181.20/125.13 | (3391) all_399_0_449 = 0 % 181.20/125.13 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.20/125.13 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.20/125.13 | % 181.20/125.13 | Instantiating (383) with all_453_0_505 yields: % 181.20/125.13 | (3931) (all_453_0_505 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_453_0_505 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.20/125.13 | % 181.20/125.13 +-Applying beta-rule and splitting (3626), into two cases. % 181.20/125.13 |-Branch one: % 181.20/125.13 | (3642) all_407_0_469 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3642) yields: % 181.20/125.13 | (3643) all_407_0_469 = 0 % 181.20/125.13 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 181.20/125.13 | (388) all_110_1_84 = all_0_6_6 % 181.20/125.13 | % 181.20/125.13 | From (388) and (210) follows: % 181.20/125.13 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 181.20/125.13 | % 181.20/125.13 +-Applying beta-rule and splitting (3931), into two cases. % 181.20/125.13 |-Branch one: % 181.20/125.13 | (3937) all_453_0_505 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3937) yields: % 181.20/125.13 | (3938) all_453_0_505 = 0 % 181.20/125.13 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.20/125.13 | (405) all_135_1_90 = all_0_6_6 % 181.20/125.13 | % 181.20/125.13 | From (405) and (232) follows: % 181.20/125.13 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 181.20/125.13 | (233) all_110_0_83 = 0 % 181.20/125.13 | % 181.20/125.13 | Equations (233) can reduce 209 to: % 181.20/125.13 | (173) $false % 181.20/125.13 | % 181.20/125.13 |-The branch is then unsatisfiable % 181.20/125.13 |-Branch two: % 181.20/125.13 | (3944) all_453_0_505 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3944) yields: % 181.20/125.13 | (3938) all_453_0_505 = 0 % 181.20/125.13 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.20/125.13 | (412) all_135_1_90 = all_0_9_9 % 181.20/125.13 | % 181.20/125.13 | From (412) and (241) follows: % 181.20/125.13 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.13 | (212) all_85_0_75 = 0 % 181.20/125.13 | % 181.20/125.13 | Equations (212) can reduce 181 to: % 181.20/125.13 | (173) $false % 181.20/125.13 | % 181.20/125.13 |-The branch is then unsatisfiable % 181.20/125.13 |-Branch two: % 181.20/125.13 | (3649) all_407_0_469 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3649) yields: % 181.20/125.13 | (3643) all_407_0_469 = 0 % 181.20/125.13 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 181.20/125.13 | (431) all_110_1_84 = all_0_9_9 % 181.20/125.13 | % 181.20/125.13 | From (431) and (211) follows: % 181.20/125.13 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.13 | (212) all_85_0_75 = 0 % 181.20/125.13 | % 181.20/125.13 | Equations (212) can reduce 181 to: % 181.20/125.13 | (173) $false % 181.20/125.13 | % 181.20/125.13 |-The branch is then unsatisfiable % 181.20/125.13 |-Branch two: % 181.20/125.13 | (3207) all_375_0_417 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (3207) yields: % 181.20/125.13 | (3105) all_375_0_417 = 0 % 181.20/125.13 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 181.20/125.13 | (1890) all_205_2_109 = all_0_5_5 % 181.20/125.13 | % 181.20/125.13 | From (1890) and (275) follows: % 181.20/125.13 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 181.20/125.13 | (2957) all_226_0_114 = 0 % 181.20/125.13 | % 181.20/125.13 | Equations (2957) can reduce 285 to: % 181.20/125.13 | (173) $false % 181.20/125.13 | % 181.20/125.13 |-The branch is then unsatisfiable % 181.20/125.13 |-Branch two: % 181.20/125.13 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (586) yields: % 181.20/125.13 | (352) all_340_0_133 = 0 % 181.20/125.13 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 181.20/125.13 | (589) all_135_1_90 = all_0_5_5 % 181.20/125.13 | % 181.20/125.13 | From (589) and (231) follows: % 181.20/125.13 | (590) mem(all_0_5_5, all_99_1_80) = all_135_0_89 % 181.20/125.13 | % 181.20/125.13 +-Applying beta-rule and splitting (335), into two cases. % 181.20/125.13 |-Branch one: % 181.20/125.13 | (356) all_348_0_134 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (356) yields: % 181.20/125.13 | (357) all_348_0_134 = 0 % 181.20/125.13 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 181.20/125.13 | (359) all_110_1_84 = all_0_3_3 % 181.20/125.13 | % 181.20/125.13 | From (359) and (210) follows: % 181.20/125.13 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 181.20/125.13 | % 181.20/125.13 +-Applying beta-rule and splitting (2968), into two cases. % 181.20/125.13 |-Branch one: % 181.20/125.13 | (2996) all_367_0_416 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 181.20/125.13 | % 181.20/125.13 | Applying alpha-rule on (2996) yields: % 181.20/125.13 | (2997) all_367_0_416 = 0 % 181.20/125.13 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 181.20/125.13 | % 181.20/125.13 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 181.20/125.13 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 181.20/125.13 | % 181.20/125.13 | Instantiating (479) with all_421_0_519 yields: % 181.20/125.13 | (3979) (all_421_0_519 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_421_0_519 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 181.20/125.14 | % 181.20/125.14 +-Applying beta-rule and splitting (2973), into two cases. % 181.20/125.14 |-Branch one: % 181.20/125.14 | (3104) all_375_0_417 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (3104) yields: % 181.20/125.14 | (3105) all_375_0_417 = 0 % 181.20/125.14 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 181.20/125.14 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 181.20/125.14 | % 181.20/125.14 | Instantiating (1787) with all_429_0_520 yields: % 181.20/125.14 | (3984) (all_429_0_520 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_520 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 181.20/125.14 | % 181.20/125.14 +-Applying beta-rule and splitting (3369), into two cases. % 181.20/125.14 |-Branch one: % 181.20/125.14 | (3385) all_391_0_448 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (3385) yields: % 181.20/125.14 | (3386) all_391_0_448 = 0 % 181.20/125.14 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 181.20/125.14 | (760) all_85_1_76 = all_0_6_6 % 181.20/125.14 | % 181.20/125.14 | From (760) and (182) follows: % 181.20/125.14 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 181.20/125.14 | % 181.20/125.14 +-Applying beta-rule and splitting (3979), into two cases. % 181.20/125.14 |-Branch one: % 181.20/125.14 | (3990) all_421_0_519 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (3990) yields: % 181.20/125.14 | (3991) all_421_0_519 = 0 % 181.20/125.14 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.20/125.14 | (501) all_226_1_115 = all_0_3_3 % 181.20/125.14 | % 181.20/125.14 | From (501) and (302) follows: % 181.20/125.14 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 181.20/125.14 | (233) all_110_0_83 = 0 % 181.20/125.14 | % 181.20/125.14 | Equations (233) can reduce 209 to: % 181.20/125.14 | (173) $false % 181.20/125.14 | % 181.20/125.14 |-The branch is then unsatisfiable % 181.20/125.14 |-Branch two: % 181.20/125.14 | (3997) all_421_0_519 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (3997) yields: % 181.20/125.14 | (3991) all_421_0_519 = 0 % 181.20/125.14 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.20/125.14 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.20/125.14 | % 181.20/125.14 | Instantiating (508) with all_456_0_522 yields: % 181.20/125.14 | (4001) (all_456_0_522 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_522 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.20/125.14 | % 181.20/125.14 +-Applying beta-rule and splitting (3984), into two cases. % 181.20/125.14 |-Branch one: % 181.20/125.14 | (4002) all_429_0_520 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (4002) yields: % 181.20/125.14 | (4003) all_429_0_520 = 0 % 181.20/125.14 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.20/125.14 | (1809) all_205_2_109 = all_0_3_3 % 181.20/125.14 | % 181.20/125.14 | From (1809) and (309) follows: % 181.20/125.14 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 181.20/125.14 | (233) all_110_0_83 = 0 % 181.20/125.14 | % 181.20/125.14 | Equations (233) can reduce 209 to: % 181.20/125.14 | (173) $false % 181.20/125.14 | % 181.20/125.14 |-The branch is then unsatisfiable % 181.20/125.14 |-Branch two: % 181.20/125.14 | (4009) all_429_0_520 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (4009) yields: % 181.20/125.14 | (4003) all_429_0_520 = 0 % 181.20/125.14 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.20/125.14 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.20/125.14 | % 181.20/125.14 | Instantiating (1816) with all_464_0_523 yields: % 181.20/125.14 | (4013) (all_464_0_523 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_523 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.20/125.14 | % 181.20/125.14 +-Applying beta-rule and splitting (4001), into two cases. % 181.20/125.14 |-Branch one: % 181.20/125.14 | (4014) all_456_0_522 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (4014) yields: % 181.20/125.14 | (4015) all_456_0_522 = 0 % 181.20/125.14 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.20/125.14 | (525) all_226_1_115 = all_0_6_6 % 181.20/125.14 | % 181.20/125.14 | From (525) and (308) follows: % 181.20/125.14 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.20/125.14 | (212) all_85_0_75 = 0 % 181.20/125.14 | % 181.20/125.14 | Equations (212) can reduce 181 to: % 181.20/125.14 | (173) $false % 181.20/125.14 | % 181.20/125.14 |-The branch is then unsatisfiable % 181.20/125.14 |-Branch two: % 181.20/125.14 | (4021) all_456_0_522 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (4021) yields: % 181.20/125.14 | (4015) all_456_0_522 = 0 % 181.20/125.14 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.20/125.14 | (532) all_226_1_115 = all_0_9_9 % 181.20/125.14 | % 181.20/125.14 | From (532) and (286) follows: % 181.20/125.14 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 181.20/125.14 | % 181.20/125.14 +-Applying beta-rule and splitting (4013), into two cases. % 181.20/125.14 |-Branch one: % 181.20/125.14 | (4026) all_464_0_523 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (4026) yields: % 181.20/125.14 | (4027) all_464_0_523 = 0 % 181.20/125.14 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.20/125.14 | (1833) all_205_2_109 = all_0_6_6 % 181.20/125.14 | % 181.20/125.14 | From (1833) and (315) follows: % 181.20/125.14 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.20/125.14 | (212) all_85_0_75 = 0 % 181.20/125.14 | % 181.20/125.14 | Equations (212) can reduce 181 to: % 181.20/125.14 | (173) $false % 181.20/125.14 | % 181.20/125.14 |-The branch is then unsatisfiable % 181.20/125.14 |-Branch two: % 181.20/125.14 | (4033) all_464_0_523 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (4033) yields: % 181.20/125.14 | (4027) all_464_0_523 = 0 % 181.20/125.14 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.20/125.14 | (1840) all_205_2_109 = all_0_9_9 % 181.20/125.14 | % 181.20/125.14 | From (1840) and (275) follows: % 181.20/125.14 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 181.20/125.14 | (2957) all_226_0_114 = 0 % 181.20/125.14 | % 181.20/125.14 | Equations (2957) can reduce 285 to: % 181.20/125.14 | (173) $false % 181.20/125.14 | % 181.20/125.14 |-The branch is then unsatisfiable % 181.20/125.14 |-Branch two: % 181.20/125.14 | (3440) all_391_0_448 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (3440) yields: % 181.20/125.14 | (3386) all_391_0_448 = 0 % 181.20/125.14 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 181.20/125.14 | (815) all_85_1_76 = all_0_9_9 % 181.20/125.14 | % 181.20/125.14 | From (815) and (182) follows: % 181.20/125.14 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 181.20/125.14 | % 181.20/125.14 +-Applying beta-rule and splitting (3979), into two cases. % 181.20/125.14 |-Branch one: % 181.20/125.14 | (3990) all_421_0_519 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.14 | % 181.20/125.14 | Applying alpha-rule on (3990) yields: % 181.20/125.14 | (3991) all_421_0_519 = 0 % 181.20/125.14 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.14 | % 181.20/125.14 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.20/125.14 | (501) all_226_1_115 = all_0_3_3 % 181.20/125.14 | % 181.20/125.14 | From (501) and (302) follows: % 181.20/125.14 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 181.20/125.14 | % 181.20/125.15 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 181.20/125.15 | (233) all_110_0_83 = 0 % 181.20/125.15 | % 181.20/125.15 | Equations (233) can reduce 209 to: % 181.20/125.15 | (173) $false % 181.20/125.15 | % 181.20/125.15 |-The branch is then unsatisfiable % 181.20/125.15 |-Branch two: % 181.20/125.15 | (3997) all_421_0_519 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (3997) yields: % 181.20/125.15 | (3991) all_421_0_519 = 0 % 181.20/125.15 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.20/125.15 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.20/125.15 | % 181.20/125.15 | Instantiating (508) with all_456_0_525 yields: % 181.20/125.15 | (4056) (all_456_0_525 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_525 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.20/125.15 | % 181.20/125.15 +-Applying beta-rule and splitting (3984), into two cases. % 181.20/125.15 |-Branch one: % 181.20/125.15 | (4002) all_429_0_520 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (4002) yields: % 181.20/125.15 | (4003) all_429_0_520 = 0 % 181.20/125.15 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.20/125.15 | (1809) all_205_2_109 = all_0_3_3 % 181.20/125.15 | % 181.20/125.15 | From (1809) and (309) follows: % 181.20/125.15 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 181.20/125.15 | (233) all_110_0_83 = 0 % 181.20/125.15 | % 181.20/125.15 | Equations (233) can reduce 209 to: % 181.20/125.15 | (173) $false % 181.20/125.15 | % 181.20/125.15 |-The branch is then unsatisfiable % 181.20/125.15 |-Branch two: % 181.20/125.15 | (4009) all_429_0_520 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (4009) yields: % 181.20/125.15 | (4003) all_429_0_520 = 0 % 181.20/125.15 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.20/125.15 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.20/125.15 | % 181.20/125.15 | Instantiating (1816) with all_464_0_526 yields: % 181.20/125.15 | (4068) (all_464_0_526 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_526 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.20/125.15 | % 181.20/125.15 +-Applying beta-rule and splitting (4056), into two cases. % 181.20/125.15 |-Branch one: % 181.20/125.15 | (4069) all_456_0_525 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (4069) yields: % 181.20/125.15 | (4070) all_456_0_525 = 0 % 181.20/125.15 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.20/125.15 | (525) all_226_1_115 = all_0_6_6 % 181.20/125.15 | % 181.20/125.15 | From (525) and (286) follows: % 181.20/125.15 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 181.20/125.15 | % 181.20/125.15 +-Applying beta-rule and splitting (4068), into two cases. % 181.20/125.15 |-Branch one: % 181.20/125.15 | (4074) all_464_0_526 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (4074) yields: % 181.20/125.15 | (4075) all_464_0_526 = 0 % 181.20/125.15 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.20/125.15 | (1833) all_205_2_109 = all_0_6_6 % 181.20/125.15 | % 181.20/125.15 | From (1833) and (275) follows: % 181.20/125.15 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 181.20/125.15 | (2957) all_226_0_114 = 0 % 181.20/125.15 | % 181.20/125.15 | Equations (2957) can reduce 285 to: % 181.20/125.15 | (173) $false % 181.20/125.15 | % 181.20/125.15 |-The branch is then unsatisfiable % 181.20/125.15 |-Branch two: % 181.20/125.15 | (4081) all_464_0_526 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (4081) yields: % 181.20/125.15 | (4075) all_464_0_526 = 0 % 181.20/125.15 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.20/125.15 | (1840) all_205_2_109 = all_0_9_9 % 181.20/125.15 | % 181.20/125.15 | From (1840) and (315) follows: % 181.20/125.15 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.15 | (212) all_85_0_75 = 0 % 181.20/125.15 | % 181.20/125.15 | Equations (212) can reduce 181 to: % 181.20/125.15 | (173) $false % 181.20/125.15 | % 181.20/125.15 |-The branch is then unsatisfiable % 181.20/125.15 |-Branch two: % 181.20/125.15 | (4088) all_456_0_525 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (4088) yields: % 181.20/125.15 | (4070) all_456_0_525 = 0 % 181.20/125.15 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.20/125.15 | (532) all_226_1_115 = all_0_9_9 % 181.20/125.15 | % 181.20/125.15 | From (532) and (308) follows: % 181.20/125.15 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.15 | (212) all_85_0_75 = 0 % 181.20/125.15 | % 181.20/125.15 | Equations (212) can reduce 181 to: % 181.20/125.15 | (173) $false % 181.20/125.15 | % 181.20/125.15 |-The branch is then unsatisfiable % 181.20/125.15 |-Branch two: % 181.20/125.15 | (3207) all_375_0_417 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (3207) yields: % 181.20/125.15 | (3105) all_375_0_417 = 0 % 181.20/125.15 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 181.20/125.15 | (1890) all_205_2_109 = all_0_5_5 % 181.20/125.15 | % 181.20/125.15 | From (1890) and (303) follows: % 181.20/125.15 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 181.20/125.15 | (261) all_135_0_89 = 0 % 181.20/125.15 | % 181.20/125.15 | Equations (261) can reduce 230 to: % 181.20/125.15 | (173) $false % 181.20/125.15 | % 181.20/125.15 |-The branch is then unsatisfiable % 181.20/125.15 |-Branch two: % 181.20/125.15 | (3099) all_367_0_416 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (3099) yields: % 181.20/125.15 | (2997) all_367_0_416 = 0 % 181.20/125.15 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 181.20/125.15 | (582) all_226_1_115 = all_0_5_5 % 181.20/125.15 | % 181.20/125.15 | From (582) and (295) follows: % 181.20/125.15 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 181.20/125.15 | (261) all_135_0_89 = 0 % 181.20/125.15 | % 181.20/125.15 | Equations (261) can reduce 230 to: % 181.20/125.15 | (173) $false % 181.20/125.15 | % 181.20/125.15 |-The branch is then unsatisfiable % 181.20/125.15 |-Branch two: % 181.20/125.15 | (363) all_348_0_134 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (363) yields: % 181.20/125.15 | (357) all_348_0_134 = 0 % 181.20/125.15 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 181.20/125.15 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 181.20/125.15 | % 181.20/125.15 | Instantiating (366) with all_410_0_528 yields: % 181.20/125.15 | (4113) (all_410_0_528 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_410_0_528 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 181.20/125.15 | % 181.20/125.15 +-Applying beta-rule and splitting (2968), into two cases. % 181.20/125.15 |-Branch one: % 181.20/125.15 | (2996) all_367_0_416 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (2996) yields: % 181.20/125.15 | (2997) all_367_0_416 = 0 % 181.20/125.15 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 181.20/125.15 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 181.20/125.15 | % 181.20/125.15 | Instantiating (479) with all_418_0_529 yields: % 181.20/125.15 | (4118) (all_418_0_529 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_418_0_529 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 181.20/125.15 | % 181.20/125.15 +-Applying beta-rule and splitting (2973), into two cases. % 181.20/125.15 |-Branch one: % 181.20/125.15 | (3104) all_375_0_417 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (3104) yields: % 181.20/125.15 | (3105) all_375_0_417 = 0 % 181.20/125.15 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 181.20/125.15 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 181.20/125.15 | % 181.20/125.15 | Instantiating (1787) with all_426_0_530 yields: % 181.20/125.15 | (4123) (all_426_0_530 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_426_0_530 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 181.20/125.15 | % 181.20/125.15 +-Applying beta-rule and splitting (3369), into two cases. % 181.20/125.15 |-Branch one: % 181.20/125.15 | (3385) all_391_0_448 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 181.20/125.15 | % 181.20/125.15 | Applying alpha-rule on (3385) yields: % 181.20/125.15 | (3386) all_391_0_448 = 0 % 181.20/125.15 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 181.20/125.15 | % 181.20/125.15 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 181.20/125.16 | (760) all_85_1_76 = all_0_6_6 % 181.20/125.16 | % 181.20/125.16 | From (760) and (182) follows: % 181.20/125.16 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 181.20/125.16 | % 181.20/125.16 +-Applying beta-rule and splitting (4113), into two cases. % 181.20/125.16 |-Branch one: % 181.20/125.16 | (4129) all_410_0_528 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4129) yields: % 181.20/125.16 | (4130) all_410_0_528 = 0 % 181.20/125.16 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 181.20/125.16 | (388) all_110_1_84 = all_0_6_6 % 181.20/125.16 | % 181.20/125.16 | From (388) and (211) follows: % 181.20/125.16 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.20/125.16 | (212) all_85_0_75 = 0 % 181.20/125.16 | % 181.20/125.16 | Equations (212) can reduce 181 to: % 181.20/125.16 | (173) $false % 181.20/125.16 | % 181.20/125.16 |-The branch is then unsatisfiable % 181.20/125.16 |-Branch two: % 181.20/125.16 | (4136) all_410_0_528 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4136) yields: % 181.20/125.16 | (4130) all_410_0_528 = 0 % 181.20/125.16 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 181.20/125.16 | (431) all_110_1_84 = all_0_9_9 % 181.20/125.16 | % 181.20/125.16 | From (431) and (210) follows: % 181.20/125.16 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 181.20/125.16 | % 181.20/125.16 +-Applying beta-rule and splitting (4118), into two cases. % 181.20/125.16 |-Branch one: % 181.20/125.16 | (4141) all_418_0_529 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4141) yields: % 181.20/125.16 | (4142) all_418_0_529 = 0 % 181.20/125.16 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.20/125.16 | (501) all_226_1_115 = all_0_3_3 % 181.20/125.16 | % 181.20/125.16 | From (501) and (286) follows: % 181.20/125.16 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 181.20/125.16 | % 181.20/125.16 +-Applying beta-rule and splitting (4123), into two cases. % 181.20/125.16 |-Branch one: % 181.20/125.16 | (4146) all_426_0_530 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4146) yields: % 181.20/125.16 | (4147) all_426_0_530 = 0 % 181.20/125.16 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.20/125.16 | (1809) all_205_2_109 = all_0_3_3 % 181.20/125.16 | % 181.20/125.16 | From (1809) and (275) follows: % 181.20/125.16 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 181.20/125.16 | (2957) all_226_0_114 = 0 % 181.20/125.16 | % 181.20/125.16 | Equations (2957) can reduce 285 to: % 181.20/125.16 | (173) $false % 181.20/125.16 | % 181.20/125.16 |-The branch is then unsatisfiable % 181.20/125.16 |-Branch two: % 181.20/125.16 | (4153) all_426_0_530 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4153) yields: % 181.20/125.16 | (4147) all_426_0_530 = 0 % 181.20/125.16 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.20/125.16 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.20/125.16 | % 181.20/125.16 | Instantiating (1816) with all_475_0_532 yields: % 181.20/125.16 | (4157) (all_475_0_532 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_532 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.20/125.16 | % 181.20/125.16 +-Applying beta-rule and splitting (4157), into two cases. % 181.20/125.16 |-Branch one: % 181.20/125.16 | (4158) all_475_0_532 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4158) yields: % 181.20/125.16 | (4159) all_475_0_532 = 0 % 181.20/125.16 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.20/125.16 | (1833) all_205_2_109 = all_0_6_6 % 181.20/125.16 | % 181.20/125.16 | From (1833) and (315) follows: % 181.20/125.16 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.20/125.16 | (212) all_85_0_75 = 0 % 181.20/125.16 | % 181.20/125.16 | Equations (212) can reduce 181 to: % 181.20/125.16 | (173) $false % 181.20/125.16 | % 181.20/125.16 |-The branch is then unsatisfiable % 181.20/125.16 |-Branch two: % 181.20/125.16 | (4165) all_475_0_532 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4165) yields: % 181.20/125.16 | (4159) all_475_0_532 = 0 % 181.20/125.16 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.20/125.16 | (1840) all_205_2_109 = all_0_9_9 % 181.20/125.16 | % 181.20/125.16 | From (1840) and (309) follows: % 181.20/125.16 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 181.20/125.16 | (233) all_110_0_83 = 0 % 181.20/125.16 | % 181.20/125.16 | Equations (233) can reduce 209 to: % 181.20/125.16 | (173) $false % 181.20/125.16 | % 181.20/125.16 |-The branch is then unsatisfiable % 181.20/125.16 |-Branch two: % 181.20/125.16 | (4172) all_418_0_529 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4172) yields: % 181.20/125.16 | (4142) all_418_0_529 = 0 % 181.20/125.16 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.20/125.16 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.20/125.16 | % 181.20/125.16 | Instantiating (508) with all_464_0_534 yields: % 181.20/125.16 | (4176) (all_464_0_534 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_464_0_534 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.20/125.16 | % 181.20/125.16 +-Applying beta-rule and splitting (4176), into two cases. % 181.20/125.16 |-Branch one: % 181.20/125.16 | (4177) all_464_0_534 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4177) yields: % 181.20/125.16 | (4178) all_464_0_534 = 0 % 181.20/125.16 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.20/125.16 | (525) all_226_1_115 = all_0_6_6 % 181.20/125.16 | % 181.20/125.16 | From (525) and (308) follows: % 181.20/125.16 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.20/125.16 | (212) all_85_0_75 = 0 % 181.20/125.16 | % 181.20/125.16 | Equations (212) can reduce 181 to: % 181.20/125.16 | (173) $false % 181.20/125.16 | % 181.20/125.16 |-The branch is then unsatisfiable % 181.20/125.16 |-Branch two: % 181.20/125.16 | (4184) all_464_0_534 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4184) yields: % 181.20/125.16 | (4178) all_464_0_534 = 0 % 181.20/125.16 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.20/125.16 | (532) all_226_1_115 = all_0_9_9 % 181.20/125.16 | % 181.20/125.16 | From (532) and (302) follows: % 181.20/125.16 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 181.20/125.16 | (233) all_110_0_83 = 0 % 181.20/125.16 | % 181.20/125.16 | Equations (233) can reduce 209 to: % 181.20/125.16 | (173) $false % 181.20/125.16 | % 181.20/125.16 |-The branch is then unsatisfiable % 181.20/125.16 |-Branch two: % 181.20/125.16 | (3440) all_391_0_448 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (3440) yields: % 181.20/125.16 | (3386) all_391_0_448 = 0 % 181.20/125.16 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 181.20/125.16 | (815) all_85_1_76 = all_0_9_9 % 181.20/125.16 | % 181.20/125.16 | From (815) and (182) follows: % 181.20/125.16 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 181.20/125.16 | % 181.20/125.16 +-Applying beta-rule and splitting (4113), into two cases. % 181.20/125.16 |-Branch one: % 181.20/125.16 | (4129) all_410_0_528 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.16 | % 181.20/125.16 | Applying alpha-rule on (4129) yields: % 181.20/125.16 | (4130) all_410_0_528 = 0 % 181.20/125.16 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 181.20/125.16 | % 181.20/125.16 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 181.20/125.16 | (388) all_110_1_84 = all_0_6_6 % 181.20/125.16 | % 181.20/125.16 | From (388) and (210) follows: % 181.20/125.16 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 181.20/125.16 | % 181.20/125.17 +-Applying beta-rule and splitting (4118), into two cases. % 181.20/125.17 |-Branch one: % 181.20/125.17 | (4141) all_418_0_529 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (4141) yields: % 181.20/125.17 | (4142) all_418_0_529 = 0 % 181.20/125.17 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.20/125.17 | (501) all_226_1_115 = all_0_3_3 % 181.20/125.17 | % 181.20/125.17 | From (501) and (286) follows: % 181.20/125.17 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 181.20/125.17 | % 181.20/125.17 +-Applying beta-rule and splitting (4123), into two cases. % 181.20/125.17 |-Branch one: % 181.20/125.17 | (4146) all_426_0_530 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (4146) yields: % 181.20/125.17 | (4147) all_426_0_530 = 0 % 181.20/125.17 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.20/125.17 | (1809) all_205_2_109 = all_0_3_3 % 181.20/125.17 | % 181.20/125.17 | From (1809) and (275) follows: % 181.20/125.17 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 181.20/125.17 | (2957) all_226_0_114 = 0 % 181.20/125.17 | % 181.20/125.17 | Equations (2957) can reduce 285 to: % 181.20/125.17 | (173) $false % 181.20/125.17 | % 181.20/125.17 |-The branch is then unsatisfiable % 181.20/125.17 |-Branch two: % 181.20/125.17 | (4153) all_426_0_530 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (4153) yields: % 181.20/125.17 | (4147) all_426_0_530 = 0 % 181.20/125.17 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.20/125.17 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.20/125.17 | % 181.20/125.17 | Instantiating (1816) with all_475_0_548 yields: % 181.20/125.17 | (4217) (all_475_0_548 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_548 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.20/125.17 | % 181.20/125.17 +-Applying beta-rule and splitting (4217), into two cases. % 181.20/125.17 |-Branch one: % 181.20/125.17 | (4218) all_475_0_548 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (4218) yields: % 181.20/125.17 | (4219) all_475_0_548 = 0 % 181.20/125.17 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.20/125.17 | (1833) all_205_2_109 = all_0_6_6 % 181.20/125.17 | % 181.20/125.17 | From (1833) and (309) follows: % 181.20/125.17 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 181.20/125.17 | (233) all_110_0_83 = 0 % 181.20/125.17 | % 181.20/125.17 | Equations (233) can reduce 209 to: % 181.20/125.17 | (173) $false % 181.20/125.17 | % 181.20/125.17 |-The branch is then unsatisfiable % 181.20/125.17 |-Branch two: % 181.20/125.17 | (4225) all_475_0_548 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (4225) yields: % 181.20/125.17 | (4219) all_475_0_548 = 0 % 181.20/125.17 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.20/125.17 | (1840) all_205_2_109 = all_0_9_9 % 181.20/125.17 | % 181.20/125.17 | From (1840) and (315) follows: % 181.20/125.17 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.17 | (212) all_85_0_75 = 0 % 181.20/125.17 | % 181.20/125.17 | Equations (212) can reduce 181 to: % 181.20/125.17 | (173) $false % 181.20/125.17 | % 181.20/125.17 |-The branch is then unsatisfiable % 181.20/125.17 |-Branch two: % 181.20/125.17 | (4172) all_418_0_529 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (4172) yields: % 181.20/125.17 | (4142) all_418_0_529 = 0 % 181.20/125.17 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.20/125.17 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.20/125.17 | % 181.20/125.17 | Instantiating (508) with all_464_0_550 yields: % 181.20/125.17 | (4236) (all_464_0_550 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_464_0_550 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.20/125.17 | % 181.20/125.17 +-Applying beta-rule and splitting (4236), into two cases. % 181.20/125.17 |-Branch one: % 181.20/125.17 | (4237) all_464_0_550 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (4237) yields: % 181.20/125.17 | (4238) all_464_0_550 = 0 % 181.20/125.17 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.20/125.17 | (525) all_226_1_115 = all_0_6_6 % 181.20/125.17 | % 181.20/125.17 | From (525) and (302) follows: % 181.20/125.17 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 181.20/125.17 | (233) all_110_0_83 = 0 % 181.20/125.17 | % 181.20/125.17 | Equations (233) can reduce 209 to: % 181.20/125.17 | (173) $false % 181.20/125.17 | % 181.20/125.17 |-The branch is then unsatisfiable % 181.20/125.17 |-Branch two: % 181.20/125.17 | (4244) all_464_0_550 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (4244) yields: % 181.20/125.17 | (4238) all_464_0_550 = 0 % 181.20/125.17 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.20/125.17 | (532) all_226_1_115 = all_0_9_9 % 181.20/125.17 | % 181.20/125.17 | From (532) and (308) follows: % 181.20/125.17 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.17 | (212) all_85_0_75 = 0 % 181.20/125.17 | % 181.20/125.17 | Equations (212) can reduce 181 to: % 181.20/125.17 | (173) $false % 181.20/125.17 | % 181.20/125.17 |-The branch is then unsatisfiable % 181.20/125.17 |-Branch two: % 181.20/125.17 | (4136) all_410_0_528 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (4136) yields: % 181.20/125.17 | (4130) all_410_0_528 = 0 % 181.20/125.17 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 181.20/125.17 | (431) all_110_1_84 = all_0_9_9 % 181.20/125.17 | % 181.20/125.17 | From (431) and (211) follows: % 181.20/125.17 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.20/125.17 | (212) all_85_0_75 = 0 % 181.20/125.17 | % 181.20/125.17 | Equations (212) can reduce 181 to: % 181.20/125.17 | (173) $false % 181.20/125.17 | % 181.20/125.17 |-The branch is then unsatisfiable % 181.20/125.17 |-Branch two: % 181.20/125.17 | (3207) all_375_0_417 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (3207) yields: % 181.20/125.17 | (3105) all_375_0_417 = 0 % 181.20/125.17 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 181.20/125.17 | (1890) all_205_2_109 = all_0_5_5 % 181.20/125.17 | % 181.20/125.17 | From (1890) and (303) follows: % 181.20/125.17 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 181.20/125.17 | (261) all_135_0_89 = 0 % 181.20/125.17 | % 181.20/125.17 | Equations (261) can reduce 230 to: % 181.20/125.17 | (173) $false % 181.20/125.17 | % 181.20/125.17 |-The branch is then unsatisfiable % 181.20/125.17 |-Branch two: % 181.20/125.17 | (3099) all_367_0_416 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 181.20/125.17 | % 181.20/125.17 | Applying alpha-rule on (3099) yields: % 181.20/125.17 | (2997) all_367_0_416 = 0 % 181.20/125.17 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 181.20/125.17 | (582) all_226_1_115 = all_0_5_5 % 181.20/125.17 | % 181.20/125.17 | From (582) and (295) follows: % 181.20/125.17 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 181.20/125.17 | % 181.20/125.17 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 181.20/125.17 | (261) all_135_0_89 = 0 % 181.20/125.17 | % 181.20/125.17 | Equations (261) can reduce 230 to: % 181.20/125.17 | (173) $false % 181.20/125.17 | % 181.20/125.17 |-The branch is then unsatisfiable % 181.20/125.17 |-Branch two: % 181.20/125.17 | (2952) all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (2952) yields: % 181.20/125.18 | (1650) all_318_0_130 = 0 % 181.20/125.18 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 181.20/125.18 | (2955) all_205_2_109 = all_0_8_8 % 181.20/125.18 | % 181.20/125.18 | From (2955) and (296) follows: % 181.20/125.18 | (4276) mem(all_0_8_8, all_129_1_88) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (58) with all_0_8_8, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_8_8, all_129_1_88) = all_181_0_102, mem(all_0_8_8, all_129_1_88) = 0, yields: % 181.20/125.18 | (288) all_181_0_102 = 0 % 181.20/125.18 | % 181.20/125.18 | Equations (288) can reduce 258 to: % 181.20/125.18 | (173) $false % 181.20/125.18 | % 181.20/125.18 |-The branch is then unsatisfiable % 181.20/125.18 |-Branch two: % 181.20/125.18 | (1644) all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (1644) yields: % 181.20/125.18 | (342) all_311_0_129 = 0 % 181.20/125.18 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 181.20/125.18 | (1647) all_226_1_115 = all_0_8_8 % 181.20/125.18 | % 181.20/125.18 | From (1647) and (287) follows: % 181.20/125.18 | (4276) mem(all_0_8_8, all_129_1_88) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (58) with all_0_8_8, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_8_8, all_129_1_88) = all_181_0_102, mem(all_0_8_8, all_129_1_88) = 0, yields: % 181.20/125.18 | (288) all_181_0_102 = 0 % 181.20/125.18 | % 181.20/125.18 | Equations (288) can reduce 258 to: % 181.20/125.18 | (173) $false % 181.20/125.18 | % 181.20/125.18 |-The branch is then unsatisfiable % 181.20/125.18 |-Branch two: % 181.20/125.18 | (4286) all_291_0_125 = 0 & mem(all_110_1_84, all_0_4_4) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (4286) yields: % 181.20/125.18 | (332) all_291_0_125 = 0 % 181.20/125.18 | (4288) mem(all_110_1_84, all_0_4_4) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_110_1_84 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_110_1_84, all_0_4_4) = 0, yields: % 181.20/125.18 | (4289) all_110_1_84 = all_0_5_5 % 181.20/125.18 | % 181.20/125.18 | From (4289) and (210) follows: % 181.20/125.18 | (4290) mem(all_0_5_5, all_74_1_72) = all_110_0_83 % 181.20/125.18 | % 181.20/125.18 +-Applying beta-rule and splitting (313), into two cases. % 181.20/125.18 |-Branch one: % 181.20/125.18 | (336) all_292_0_126 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (336) yields: % 181.20/125.18 | (337) all_292_0_126 = 0 % 181.20/125.18 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 181.20/125.18 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 181.20/125.18 | % 181.20/125.18 | Instantiating (339) with all_359_0_564 yields: % 181.20/125.18 | (4295) (all_359_0_564 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_359_0_564 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 181.20/125.18 | % 181.20/125.18 +-Applying beta-rule and splitting (318), into two cases. % 181.20/125.18 |-Branch one: % 181.20/125.18 | (341) all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (341) yields: % 181.20/125.18 | (342) all_311_0_129 = 0 % 181.20/125.18 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 181.20/125.18 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 181.20/125.18 | % 181.20/125.18 | Instantiating (344) with all_367_0_565 yields: % 181.20/125.18 | (4300) (all_367_0_565 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_367_0_565 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 181.20/125.18 | % 181.20/125.18 +-Applying beta-rule and splitting (325), into two cases. % 181.20/125.18 |-Branch one: % 181.20/125.18 | (346) all_332_0_132 = 0 & mem(all_85_1_76, all_72_0_70) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (346) yields: % 181.20/125.18 | (347) all_332_0_132 = 0 % 181.20/125.18 | (348) mem(all_85_1_76, all_72_0_70) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_85_1_76, all_72_0_70) = 0, yields: % 181.20/125.18 | (349) all_85_1_76 = all_0_3_3 % 181.20/125.18 | % 181.20/125.18 | From (349) and (182) follows: % 181.20/125.18 | (350) mem(all_0_3_3, all_57_1_65) = all_85_0_75 % 181.20/125.18 | % 181.20/125.18 +-Applying beta-rule and splitting (330), into two cases. % 181.20/125.18 |-Branch one: % 181.20/125.18 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (351) yields: % 181.20/125.18 | (352) all_340_0_133 = 0 % 181.20/125.18 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 181.20/125.18 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 181.20/125.18 | % 181.20/125.18 | Instantiating (354) with all_402_0_568 yields: % 181.20/125.18 | (4310) (all_402_0_568 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_402_0_568 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 181.20/125.18 | % 181.20/125.18 +-Applying beta-rule and splitting (4295), into two cases. % 181.20/125.18 |-Branch one: % 181.20/125.18 | (4311) all_359_0_564 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (4311) yields: % 181.20/125.18 | (4312) all_359_0_564 = 0 % 181.20/125.18 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 181.20/125.18 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 181.20/125.18 | % 181.20/125.18 | Instantiating (371) with all_410_0_569 yields: % 181.20/125.18 | (4315) (all_410_0_569 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_410_0_569 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 181.20/125.18 | % 181.20/125.18 +-Applying beta-rule and splitting (4300), into two cases. % 181.20/125.18 |-Branch one: % 181.20/125.18 | (4316) all_367_0_565 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (4316) yields: % 181.20/125.18 | (4317) all_367_0_565 = 0 % 181.20/125.18 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 181.20/125.18 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 181.20/125.18 | % 181.20/125.18 | Instantiating (479) with all_418_0_570 yields: % 181.20/125.18 | (4320) (all_418_0_570 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_418_0_570 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 181.20/125.18 | % 181.20/125.18 +-Applying beta-rule and splitting (4310), into two cases. % 181.20/125.18 |-Branch one: % 181.20/125.18 | (4321) all_402_0_568 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (4321) yields: % 181.20/125.18 | (4322) all_402_0_568 = 0 % 181.20/125.18 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.20/125.18 | (376) all_135_1_90 = all_0_3_3 % 181.20/125.18 | % 181.20/125.18 | From (376) and (241) follows: % 181.20/125.18 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.20/125.18 | (212) all_85_0_75 = 0 % 181.20/125.18 | % 181.20/125.18 | Equations (212) can reduce 181 to: % 181.20/125.18 | (173) $false % 181.20/125.18 | % 181.20/125.18 |-The branch is then unsatisfiable % 181.20/125.18 |-Branch two: % 181.20/125.18 | (4328) all_402_0_568 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (4328) yields: % 181.20/125.18 | (4322) all_402_0_568 = 0 % 181.20/125.18 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.20/125.18 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.20/125.18 | % 181.20/125.18 | Instantiating (383) with all_442_0_573 yields: % 181.20/125.18 | (4332) (all_442_0_573 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_442_0_573 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.20/125.18 | % 181.20/125.18 +-Applying beta-rule and splitting (4315), into two cases. % 181.20/125.18 |-Branch one: % 181.20/125.18 | (4333) all_410_0_569 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (4333) yields: % 181.20/125.18 | (4334) all_410_0_569 = 0 % 181.20/125.18 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.20/125.18 | (393) all_181_1_103 = all_0_3_3 % 181.20/125.18 | % 181.20/125.18 | From (393) and (297) follows: % 181.20/125.18 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.20/125.18 | (212) all_85_0_75 = 0 % 181.20/125.18 | % 181.20/125.18 | Equations (212) can reduce 181 to: % 181.20/125.18 | (173) $false % 181.20/125.18 | % 181.20/125.18 |-The branch is then unsatisfiable % 181.20/125.18 |-Branch two: % 181.20/125.18 | (4340) all_410_0_569 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (4340) yields: % 181.20/125.18 | (4334) all_410_0_569 = 0 % 181.20/125.18 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.20/125.18 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.20/125.18 | % 181.20/125.18 | Instantiating (400) with all_450_0_574 yields: % 181.20/125.18 | (4344) (all_450_0_574 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_450_0_574 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.20/125.18 | % 181.20/125.18 +-Applying beta-rule and splitting (4320), into two cases. % 181.20/125.18 |-Branch one: % 181.20/125.18 | (4345) all_418_0_570 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.18 | % 181.20/125.18 | Applying alpha-rule on (4345) yields: % 181.20/125.18 | (4346) all_418_0_570 = 0 % 181.20/125.18 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.20/125.18 | (501) all_226_1_115 = all_0_3_3 % 181.20/125.18 | % 181.20/125.18 | From (501) and (308) follows: % 181.20/125.18 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.20/125.18 | % 181.20/125.18 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.20/125.19 | (212) all_85_0_75 = 0 % 181.20/125.19 | % 181.20/125.19 | Equations (212) can reduce 181 to: % 181.20/125.19 | (173) $false % 181.20/125.19 | % 181.20/125.19 |-The branch is then unsatisfiable % 181.20/125.19 |-Branch two: % 181.20/125.19 | (4352) all_418_0_570 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4352) yields: % 181.20/125.19 | (4346) all_418_0_570 = 0 % 181.20/125.19 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.20/125.19 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.20/125.19 | % 181.20/125.19 | Instantiating (508) with all_458_0_575 yields: % 181.20/125.19 | (4356) (all_458_0_575 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_458_0_575 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.20/125.19 | % 181.20/125.19 +-Applying beta-rule and splitting (4332), into two cases. % 181.20/125.19 |-Branch one: % 181.20/125.19 | (4357) all_442_0_573 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4357) yields: % 181.20/125.19 | (4358) all_442_0_573 = 0 % 181.20/125.19 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.20/125.19 | (405) all_135_1_90 = all_0_6_6 % 181.20/125.19 | % 181.20/125.19 | From (405) and (231) follows: % 181.20/125.19 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 181.20/125.19 | % 181.20/125.19 +-Applying beta-rule and splitting (4344), into two cases. % 181.20/125.19 |-Branch one: % 181.20/125.19 | (4362) all_450_0_574 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4362) yields: % 181.20/125.19 | (4363) all_450_0_574 = 0 % 181.20/125.19 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.20/125.19 | (417) all_181_1_103 = all_0_6_6 % 181.20/125.19 | % 181.20/125.19 | From (417) and (260) follows: % 181.20/125.19 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.20/125.19 | (261) all_135_0_89 = 0 % 181.20/125.19 | % 181.20/125.19 | Equations (261) can reduce 230 to: % 181.20/125.19 | (173) $false % 181.20/125.19 | % 181.20/125.19 |-The branch is then unsatisfiable % 181.20/125.19 |-Branch two: % 181.20/125.19 | (4369) all_450_0_574 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4369) yields: % 181.20/125.19 | (4363) all_450_0_574 = 0 % 181.20/125.19 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.20/125.19 | (424) all_181_1_103 = all_0_9_9 % 181.20/125.19 | % 181.20/125.19 | From (424) and (259) follows: % 181.20/125.19 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 181.20/125.19 | % 181.20/125.19 +-Applying beta-rule and splitting (4356), into two cases. % 181.20/125.19 |-Branch one: % 181.20/125.19 | (4374) all_458_0_575 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4374) yields: % 181.20/125.19 | (4375) all_458_0_575 = 0 % 181.20/125.19 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.20/125.19 | (525) all_226_1_115 = all_0_6_6 % 181.20/125.19 | % 181.20/125.19 | From (525) and (295) follows: % 181.20/125.19 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.20/125.19 | (261) all_135_0_89 = 0 % 181.20/125.19 | % 181.20/125.19 | Equations (261) can reduce 230 to: % 181.20/125.19 | (173) $false % 181.20/125.19 | % 181.20/125.19 |-The branch is then unsatisfiable % 181.20/125.19 |-Branch two: % 181.20/125.19 | (4381) all_458_0_575 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4381) yields: % 181.20/125.19 | (4375) all_458_0_575 = 0 % 181.20/125.19 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.20/125.19 | (532) all_226_1_115 = all_0_9_9 % 181.20/125.19 | % 181.20/125.19 | From (532) and (287) follows: % 181.20/125.19 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 181.20/125.19 | (288) all_181_0_102 = 0 % 181.20/125.19 | % 181.20/125.19 | Equations (288) can reduce 258 to: % 181.20/125.19 | (173) $false % 181.20/125.19 | % 181.20/125.19 |-The branch is then unsatisfiable % 181.20/125.19 |-Branch two: % 181.20/125.19 | (4388) all_442_0_573 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4388) yields: % 181.20/125.19 | (4358) all_442_0_573 = 0 % 181.20/125.19 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.20/125.19 | (412) all_135_1_90 = all_0_9_9 % 181.20/125.19 | % 181.20/125.19 | From (412) and (231) follows: % 181.20/125.19 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 181.20/125.19 | % 181.20/125.19 +-Applying beta-rule and splitting (4344), into two cases. % 181.20/125.19 |-Branch one: % 181.20/125.19 | (4362) all_450_0_574 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4362) yields: % 181.20/125.19 | (4363) all_450_0_574 = 0 % 181.20/125.19 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.20/125.19 | (417) all_181_1_103 = all_0_6_6 % 181.20/125.19 | % 181.20/125.19 | From (417) and (259) follows: % 181.20/125.19 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 181.20/125.19 | % 181.20/125.19 +-Applying beta-rule and splitting (4356), into two cases. % 181.20/125.19 |-Branch one: % 181.20/125.19 | (4374) all_458_0_575 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4374) yields: % 181.20/125.19 | (4375) all_458_0_575 = 0 % 181.20/125.19 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.20/125.19 | (525) all_226_1_115 = all_0_6_6 % 181.20/125.19 | % 181.20/125.19 | From (525) and (287) follows: % 181.20/125.19 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 181.20/125.19 | (288) all_181_0_102 = 0 % 181.20/125.19 | % 181.20/125.19 | Equations (288) can reduce 258 to: % 181.20/125.19 | (173) $false % 181.20/125.19 | % 181.20/125.19 |-The branch is then unsatisfiable % 181.20/125.19 |-Branch two: % 181.20/125.19 | (4381) all_458_0_575 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4381) yields: % 181.20/125.19 | (4375) all_458_0_575 = 0 % 181.20/125.19 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.20/125.19 | (532) all_226_1_115 = all_0_9_9 % 181.20/125.19 | % 181.20/125.19 | From (532) and (295) follows: % 181.20/125.19 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.20/125.19 | (261) all_135_0_89 = 0 % 181.20/125.19 | % 181.20/125.19 | Equations (261) can reduce 230 to: % 181.20/125.19 | (173) $false % 181.20/125.19 | % 181.20/125.19 |-The branch is then unsatisfiable % 181.20/125.19 |-Branch two: % 181.20/125.19 | (4369) all_450_0_574 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4369) yields: % 181.20/125.19 | (4363) all_450_0_574 = 0 % 181.20/125.19 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.20/125.19 | (424) all_181_1_103 = all_0_9_9 % 181.20/125.19 | % 181.20/125.19 | From (424) and (260) follows: % 181.20/125.19 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.20/125.19 | (261) all_135_0_89 = 0 % 181.20/125.19 | % 181.20/125.19 | Equations (261) can reduce 230 to: % 181.20/125.19 | (173) $false % 181.20/125.19 | % 181.20/125.19 |-The branch is then unsatisfiable % 181.20/125.19 |-Branch two: % 181.20/125.19 | (4419) all_367_0_565 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 181.20/125.19 | % 181.20/125.19 | Applying alpha-rule on (4419) yields: % 181.20/125.19 | (4317) all_367_0_565 = 0 % 181.20/125.19 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 181.20/125.19 | % 181.20/125.19 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 181.20/125.19 | (582) all_226_1_115 = all_0_5_5 % 181.20/125.19 | % 181.20/125.19 | From (582) and (302) follows: % 181.20/125.19 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.42/125.19 | % 181.42/125.19 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.42/125.19 | (233) all_110_0_83 = 0 % 181.42/125.19 | % 181.42/125.19 | Equations (233) can reduce 209 to: % 181.42/125.19 | (173) $false % 181.42/125.19 | % 181.42/125.19 |-The branch is then unsatisfiable % 181.42/125.19 |-Branch two: % 181.42/125.20 | (4426) all_359_0_564 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4426) yields: % 181.42/125.20 | (4312) all_359_0_564 = 0 % 181.42/125.20 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 181.42/125.20 | (474) all_181_1_103 = all_0_5_5 % 181.42/125.20 | % 181.42/125.20 | From (474) and (269) follows: % 181.42/125.20 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.42/125.20 | (233) all_110_0_83 = 0 % 181.42/125.20 | % 181.42/125.20 | Equations (233) can reduce 209 to: % 181.42/125.20 | (173) $false % 181.42/125.20 | % 181.42/125.20 |-The branch is then unsatisfiable % 181.42/125.20 |-Branch two: % 181.42/125.20 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (586) yields: % 181.42/125.20 | (352) all_340_0_133 = 0 % 181.42/125.20 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 181.42/125.20 | (589) all_135_1_90 = all_0_5_5 % 181.42/125.20 | % 181.42/125.20 | From (589) and (232) follows: % 181.42/125.20 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.42/125.20 | (233) all_110_0_83 = 0 % 181.42/125.20 | % 181.42/125.20 | Equations (233) can reduce 209 to: % 181.42/125.20 | (173) $false % 181.42/125.20 | % 181.42/125.20 |-The branch is then unsatisfiable % 181.42/125.20 |-Branch two: % 181.42/125.20 | (737) all_332_0_132 = 0 & mem(all_85_1_76, all_0_3_3) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (737) yields: % 181.42/125.20 | (347) all_332_0_132 = 0 % 181.42/125.20 | (739) mem(all_85_1_76, all_0_3_3) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_85_1_76, all_0_3_3) = 0, yields: % 181.42/125.20 | (740) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_6_6) = 0)) % 181.42/125.20 | % 181.42/125.20 | Instantiating (740) with all_391_0_578 yields: % 181.42/125.20 | (4444) (all_391_0_578 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (all_391_0_578 = 0 & mem(all_85_1_76, all_0_6_6) = 0) % 181.42/125.20 | % 181.42/125.20 +-Applying beta-rule and splitting (330), into two cases. % 181.42/125.20 |-Branch one: % 181.42/125.20 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (351) yields: % 181.42/125.20 | (352) all_340_0_133 = 0 % 181.42/125.20 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 181.42/125.20 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 181.42/125.20 | % 181.42/125.20 | Instantiating (354) with all_399_0_579 yields: % 181.42/125.20 | (4449) (all_399_0_579 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_399_0_579 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 181.42/125.20 | % 181.42/125.20 +-Applying beta-rule and splitting (4295), into two cases. % 181.42/125.20 |-Branch one: % 181.42/125.20 | (4311) all_359_0_564 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4311) yields: % 181.42/125.20 | (4312) all_359_0_564 = 0 % 181.42/125.20 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 181.42/125.20 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 181.42/125.20 | % 181.42/125.20 | Instantiating (371) with all_407_0_580 yields: % 181.42/125.20 | (4454) (all_407_0_580 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_407_0_580 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 181.42/125.20 | % 181.42/125.20 +-Applying beta-rule and splitting (4300), into two cases. % 181.42/125.20 |-Branch one: % 181.42/125.20 | (4316) all_367_0_565 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4316) yields: % 181.42/125.20 | (4317) all_367_0_565 = 0 % 181.42/125.20 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 181.42/125.20 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 181.42/125.20 | % 181.42/125.20 | Instantiating (479) with all_415_0_581 yields: % 181.42/125.20 | (4459) (all_415_0_581 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_415_0_581 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 181.42/125.20 | % 181.42/125.20 +-Applying beta-rule and splitting (4444), into two cases. % 181.42/125.20 |-Branch one: % 181.42/125.20 | (4460) all_391_0_578 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4460) yields: % 181.42/125.20 | (4461) all_391_0_578 = 0 % 181.42/125.20 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 181.42/125.20 | (760) all_85_1_76 = all_0_6_6 % 181.42/125.20 | % 181.42/125.20 | From (760) and (182) follows: % 181.42/125.20 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 181.42/125.20 | % 181.42/125.20 +-Applying beta-rule and splitting (4449), into two cases. % 181.42/125.20 |-Branch one: % 181.42/125.20 | (4465) all_399_0_579 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4465) yields: % 181.42/125.20 | (4466) all_399_0_579 = 0 % 181.42/125.20 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.42/125.20 | (376) all_135_1_90 = all_0_3_3 % 181.42/125.20 | % 181.42/125.20 | From (376) and (231) follows: % 181.42/125.20 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 181.42/125.20 | % 181.42/125.20 +-Applying beta-rule and splitting (4454), into two cases. % 181.42/125.20 |-Branch one: % 181.42/125.20 | (4470) all_407_0_580 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4470) yields: % 181.42/125.20 | (4471) all_407_0_580 = 0 % 181.42/125.20 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.42/125.20 | (393) all_181_1_103 = all_0_3_3 % 181.42/125.20 | % 181.42/125.20 | From (393) and (260) follows: % 181.42/125.20 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.42/125.20 | (261) all_135_0_89 = 0 % 181.42/125.20 | % 181.42/125.20 | Equations (261) can reduce 230 to: % 181.42/125.20 | (173) $false % 181.42/125.20 | % 181.42/125.20 |-The branch is then unsatisfiable % 181.42/125.20 |-Branch two: % 181.42/125.20 | (4477) all_407_0_580 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4477) yields: % 181.42/125.20 | (4471) all_407_0_580 = 0 % 181.42/125.20 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.42/125.20 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.42/125.20 | % 181.42/125.20 | Instantiating (400) with all_461_0_584 yields: % 181.42/125.20 | (4481) (all_461_0_584 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_584 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.42/125.20 | % 181.42/125.20 +-Applying beta-rule and splitting (4459), into two cases. % 181.42/125.20 |-Branch one: % 181.42/125.20 | (4482) all_415_0_581 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4482) yields: % 181.42/125.20 | (4483) all_415_0_581 = 0 % 181.42/125.20 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.42/125.20 | (501) all_226_1_115 = all_0_3_3 % 181.42/125.20 | % 181.42/125.20 | From (501) and (295) follows: % 181.42/125.20 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.42/125.20 | (261) all_135_0_89 = 0 % 181.42/125.20 | % 181.42/125.20 | Equations (261) can reduce 230 to: % 181.42/125.20 | (173) $false % 181.42/125.20 | % 181.42/125.20 |-The branch is then unsatisfiable % 181.42/125.20 |-Branch two: % 181.42/125.20 | (4489) all_415_0_581 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4489) yields: % 181.42/125.20 | (4483) all_415_0_581 = 0 % 181.42/125.20 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.42/125.20 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.42/125.20 | % 181.42/125.20 | Instantiating (508) with all_469_0_585 yields: % 181.42/125.20 | (4493) (all_469_0_585 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_585 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.42/125.20 | % 181.42/125.20 +-Applying beta-rule and splitting (4481), into two cases. % 181.42/125.20 |-Branch one: % 181.42/125.20 | (4494) all_461_0_584 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4494) yields: % 181.42/125.20 | (4495) all_461_0_584 = 0 % 181.42/125.20 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.20 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.20 | % 181.42/125.20 | From (417) and (297) follows: % 181.42/125.20 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.20 | % 181.42/125.20 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.20 | (212) all_85_0_75 = 0 % 181.42/125.20 | % 181.42/125.20 | Equations (212) can reduce 181 to: % 181.42/125.20 | (173) $false % 181.42/125.20 | % 181.42/125.20 |-The branch is then unsatisfiable % 181.42/125.20 |-Branch two: % 181.42/125.20 | (4501) all_461_0_584 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.20 | % 181.42/125.20 | Applying alpha-rule on (4501) yields: % 181.42/125.21 | (4495) all_461_0_584 = 0 % 181.42/125.21 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.21 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.21 | % 181.42/125.21 | From (424) and (259) follows: % 181.42/125.21 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 181.42/125.21 | % 181.42/125.21 +-Applying beta-rule and splitting (4493), into two cases. % 181.42/125.21 |-Branch one: % 181.42/125.21 | (4506) all_469_0_585 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4506) yields: % 181.42/125.21 | (4507) all_469_0_585 = 0 % 181.42/125.21 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.42/125.21 | (525) all_226_1_115 = all_0_6_6 % 181.42/125.21 | % 181.42/125.21 | From (525) and (308) follows: % 181.42/125.21 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.21 | (212) all_85_0_75 = 0 % 181.42/125.21 | % 181.42/125.21 | Equations (212) can reduce 181 to: % 181.42/125.21 | (173) $false % 181.42/125.21 | % 181.42/125.21 |-The branch is then unsatisfiable % 181.42/125.21 |-Branch two: % 181.42/125.21 | (4513) all_469_0_585 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4513) yields: % 181.42/125.21 | (4507) all_469_0_585 = 0 % 181.42/125.21 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.42/125.21 | (532) all_226_1_115 = all_0_9_9 % 181.42/125.21 | % 181.42/125.21 | From (532) and (287) follows: % 181.42/125.21 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 181.42/125.21 | (288) all_181_0_102 = 0 % 181.42/125.21 | % 181.42/125.21 | Equations (288) can reduce 258 to: % 181.42/125.21 | (173) $false % 181.42/125.21 | % 181.42/125.21 |-The branch is then unsatisfiable % 181.42/125.21 |-Branch two: % 181.42/125.21 | (4520) all_399_0_579 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4520) yields: % 181.42/125.21 | (4466) all_399_0_579 = 0 % 181.42/125.21 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.42/125.21 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.42/125.21 | % 181.42/125.21 | Instantiating (383) with all_450_0_588 yields: % 181.42/125.21 | (4524) (all_450_0_588 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_450_0_588 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.42/125.21 | % 181.42/125.21 +-Applying beta-rule and splitting (4454), into two cases. % 181.42/125.21 |-Branch one: % 181.42/125.21 | (4470) all_407_0_580 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4470) yields: % 181.42/125.21 | (4471) all_407_0_580 = 0 % 181.42/125.21 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.42/125.21 | (393) all_181_1_103 = all_0_3_3 % 181.42/125.21 | % 181.42/125.21 | From (393) and (259) follows: % 181.42/125.21 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 181.42/125.21 | % 181.42/125.21 +-Applying beta-rule and splitting (4459), into two cases. % 181.42/125.21 |-Branch one: % 181.42/125.21 | (4482) all_415_0_581 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4482) yields: % 181.42/125.21 | (4483) all_415_0_581 = 0 % 181.42/125.21 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.42/125.21 | (501) all_226_1_115 = all_0_3_3 % 181.42/125.21 | % 181.42/125.21 | From (501) and (287) follows: % 181.42/125.21 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 181.42/125.21 | (288) all_181_0_102 = 0 % 181.42/125.21 | % 181.42/125.21 | Equations (288) can reduce 258 to: % 181.42/125.21 | (173) $false % 181.42/125.21 | % 181.42/125.21 |-The branch is then unsatisfiable % 181.42/125.21 |-Branch two: % 181.42/125.21 | (4489) all_415_0_581 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4489) yields: % 181.42/125.21 | (4483) all_415_0_581 = 0 % 181.42/125.21 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.42/125.21 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.42/125.21 | % 181.42/125.21 | Instantiating (508) with all_469_0_589 yields: % 181.42/125.21 | (4541) (all_469_0_589 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_589 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.42/125.21 | % 181.42/125.21 +-Applying beta-rule and splitting (4524), into two cases. % 181.42/125.21 |-Branch one: % 181.42/125.21 | (4542) all_450_0_588 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4542) yields: % 181.42/125.21 | (4543) all_450_0_588 = 0 % 181.42/125.21 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.42/125.21 | (405) all_135_1_90 = all_0_6_6 % 181.42/125.21 | % 181.42/125.21 | From (405) and (241) follows: % 181.42/125.21 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.21 | (212) all_85_0_75 = 0 % 181.42/125.21 | % 181.42/125.21 | Equations (212) can reduce 181 to: % 181.42/125.21 | (173) $false % 181.42/125.21 | % 181.42/125.21 |-The branch is then unsatisfiable % 181.42/125.21 |-Branch two: % 181.42/125.21 | (4549) all_450_0_588 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4549) yields: % 181.42/125.21 | (4543) all_450_0_588 = 0 % 181.42/125.21 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.42/125.21 | (412) all_135_1_90 = all_0_9_9 % 181.42/125.21 | % 181.42/125.21 | From (412) and (231) follows: % 181.42/125.21 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 181.42/125.21 | % 181.42/125.21 +-Applying beta-rule and splitting (4541), into two cases. % 181.42/125.21 |-Branch one: % 181.42/125.21 | (4554) all_469_0_589 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4554) yields: % 181.42/125.21 | (4555) all_469_0_589 = 0 % 181.42/125.21 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.42/125.21 | (525) all_226_1_115 = all_0_6_6 % 181.42/125.21 | % 181.42/125.21 | From (525) and (308) follows: % 181.42/125.21 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.21 | (212) all_85_0_75 = 0 % 181.42/125.21 | % 181.42/125.21 | Equations (212) can reduce 181 to: % 181.42/125.21 | (173) $false % 181.42/125.21 | % 181.42/125.21 |-The branch is then unsatisfiable % 181.42/125.21 |-Branch two: % 181.42/125.21 | (4561) all_469_0_589 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4561) yields: % 181.42/125.21 | (4555) all_469_0_589 = 0 % 181.42/125.21 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.42/125.21 | (532) all_226_1_115 = all_0_9_9 % 181.42/125.21 | % 181.42/125.21 | From (532) and (295) follows: % 181.42/125.21 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.42/125.21 | (261) all_135_0_89 = 0 % 181.42/125.21 | % 181.42/125.21 | Equations (261) can reduce 230 to: % 181.42/125.21 | (173) $false % 181.42/125.21 | % 181.42/125.21 |-The branch is then unsatisfiable % 181.42/125.21 |-Branch two: % 181.42/125.21 | (4477) all_407_0_580 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.21 | % 181.42/125.21 | Applying alpha-rule on (4477) yields: % 181.42/125.21 | (4471) all_407_0_580 = 0 % 181.42/125.21 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.21 | % 181.42/125.21 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.42/125.21 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.42/125.21 | % 181.42/125.21 | Instantiating (400) with all_458_0_592 yields: % 181.42/125.22 | (4572) (all_458_0_592 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_458_0_592 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.42/125.22 | % 181.42/125.22 +-Applying beta-rule and splitting (4524), into two cases. % 181.42/125.22 |-Branch one: % 181.42/125.22 | (4542) all_450_0_588 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4542) yields: % 181.42/125.22 | (4543) all_450_0_588 = 0 % 181.42/125.22 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.42/125.22 | (405) all_135_1_90 = all_0_6_6 % 181.42/125.22 | % 181.42/125.22 | From (405) and (241) follows: % 181.42/125.22 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.22 | (212) all_85_0_75 = 0 % 181.42/125.22 | % 181.42/125.22 | Equations (212) can reduce 181 to: % 181.42/125.22 | (173) $false % 181.42/125.22 | % 181.42/125.22 |-The branch is then unsatisfiable % 181.42/125.22 |-Branch two: % 181.42/125.22 | (4549) all_450_0_588 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4549) yields: % 181.42/125.22 | (4543) all_450_0_588 = 0 % 181.42/125.22 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.42/125.22 | (412) all_135_1_90 = all_0_9_9 % 181.42/125.22 | % 181.42/125.22 | From (412) and (231) follows: % 181.42/125.22 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 181.42/125.22 | % 181.42/125.22 +-Applying beta-rule and splitting (4572), into two cases. % 181.42/125.22 |-Branch one: % 181.42/125.22 | (4585) all_458_0_592 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4585) yields: % 181.42/125.22 | (4586) all_458_0_592 = 0 % 181.42/125.22 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.22 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.22 | % 181.42/125.22 | From (417) and (297) follows: % 181.42/125.22 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.22 | (212) all_85_0_75 = 0 % 181.42/125.22 | % 181.42/125.22 | Equations (212) can reduce 181 to: % 181.42/125.22 | (173) $false % 181.42/125.22 | % 181.42/125.22 |-The branch is then unsatisfiable % 181.42/125.22 |-Branch two: % 181.42/125.22 | (4592) all_458_0_592 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4592) yields: % 181.42/125.22 | (4586) all_458_0_592 = 0 % 181.42/125.22 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.22 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.22 | % 181.42/125.22 | From (424) and (260) follows: % 181.42/125.22 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.42/125.22 | (261) all_135_0_89 = 0 % 181.42/125.22 | % 181.42/125.22 | Equations (261) can reduce 230 to: % 181.42/125.22 | (173) $false % 181.42/125.22 | % 181.42/125.22 |-The branch is then unsatisfiable % 181.42/125.22 |-Branch two: % 181.42/125.22 | (4599) all_391_0_578 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4599) yields: % 181.42/125.22 | (4461) all_391_0_578 = 0 % 181.42/125.22 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 181.42/125.22 | (815) all_85_1_76 = all_0_9_9 % 181.42/125.22 | % 181.42/125.22 | From (815) and (182) follows: % 181.42/125.22 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 181.42/125.22 | % 181.42/125.22 +-Applying beta-rule and splitting (4449), into two cases. % 181.42/125.22 |-Branch one: % 181.42/125.22 | (4465) all_399_0_579 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4465) yields: % 181.42/125.22 | (4466) all_399_0_579 = 0 % 181.42/125.22 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.42/125.22 | (376) all_135_1_90 = all_0_3_3 % 181.42/125.22 | % 181.42/125.22 | From (376) and (231) follows: % 181.42/125.22 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 181.42/125.22 | % 181.42/125.22 +-Applying beta-rule and splitting (4454), into two cases. % 181.42/125.22 |-Branch one: % 181.42/125.22 | (4470) all_407_0_580 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4470) yields: % 181.42/125.22 | (4471) all_407_0_580 = 0 % 181.42/125.22 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.42/125.22 | (393) all_181_1_103 = all_0_3_3 % 181.42/125.22 | % 181.42/125.22 | From (393) and (260) follows: % 181.42/125.22 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.42/125.22 | (261) all_135_0_89 = 0 % 181.42/125.22 | % 181.42/125.22 | Equations (261) can reduce 230 to: % 181.42/125.22 | (173) $false % 181.42/125.22 | % 181.42/125.22 |-The branch is then unsatisfiable % 181.42/125.22 |-Branch two: % 181.42/125.22 | (4477) all_407_0_580 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4477) yields: % 181.42/125.22 | (4471) all_407_0_580 = 0 % 181.42/125.22 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.42/125.22 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.42/125.22 | % 181.42/125.22 | Instantiating (400) with all_461_0_595 yields: % 181.42/125.22 | (4620) (all_461_0_595 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_595 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.42/125.22 | % 181.42/125.22 +-Applying beta-rule and splitting (4459), into two cases. % 181.42/125.22 |-Branch one: % 181.42/125.22 | (4482) all_415_0_581 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4482) yields: % 181.42/125.22 | (4483) all_415_0_581 = 0 % 181.42/125.22 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.42/125.22 | (501) all_226_1_115 = all_0_3_3 % 181.42/125.22 | % 181.42/125.22 | From (501) and (295) follows: % 181.42/125.22 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.42/125.22 | (261) all_135_0_89 = 0 % 181.42/125.22 | % 181.42/125.22 | Equations (261) can reduce 230 to: % 181.42/125.22 | (173) $false % 181.42/125.22 | % 181.42/125.22 |-The branch is then unsatisfiable % 181.42/125.22 |-Branch two: % 181.42/125.22 | (4489) all_415_0_581 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4489) yields: % 181.42/125.22 | (4483) all_415_0_581 = 0 % 181.42/125.22 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.42/125.22 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.42/125.22 | % 181.42/125.22 | Instantiating (508) with all_469_0_596 yields: % 181.42/125.22 | (4632) (all_469_0_596 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_596 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.42/125.22 | % 181.42/125.22 +-Applying beta-rule and splitting (4620), into two cases. % 181.42/125.22 |-Branch one: % 181.42/125.22 | (4633) all_461_0_595 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4633) yields: % 181.42/125.22 | (4634) all_461_0_595 = 0 % 181.42/125.22 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.22 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.22 | % 181.42/125.22 | From (417) and (259) follows: % 181.42/125.22 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 181.42/125.22 | % 181.42/125.22 +-Applying beta-rule and splitting (4632), into two cases. % 181.42/125.22 |-Branch one: % 181.42/125.22 | (4638) all_469_0_596 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4638) yields: % 181.42/125.22 | (4639) all_469_0_596 = 0 % 181.42/125.22 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.42/125.22 | (525) all_226_1_115 = all_0_6_6 % 181.42/125.22 | % 181.42/125.22 | From (525) and (287) follows: % 181.42/125.22 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 181.42/125.22 | (288) all_181_0_102 = 0 % 181.42/125.22 | % 181.42/125.22 | Equations (288) can reduce 258 to: % 181.42/125.22 | (173) $false % 181.42/125.22 | % 181.42/125.22 |-The branch is then unsatisfiable % 181.42/125.22 |-Branch two: % 181.42/125.22 | (4645) all_469_0_596 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.42/125.22 | % 181.42/125.22 | Applying alpha-rule on (4645) yields: % 181.42/125.22 | (4639) all_469_0_596 = 0 % 181.42/125.22 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.42/125.22 | % 181.42/125.22 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.42/125.22 | (532) all_226_1_115 = all_0_9_9 % 181.42/125.22 | % 181.42/125.22 | From (532) and (308) follows: % 181.42/125.22 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.23 | (212) all_85_0_75 = 0 % 181.42/125.23 | % 181.42/125.23 | Equations (212) can reduce 181 to: % 181.42/125.23 | (173) $false % 181.42/125.23 | % 181.42/125.23 |-The branch is then unsatisfiable % 181.42/125.23 |-Branch two: % 181.42/125.23 | (4652) all_461_0_595 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4652) yields: % 181.42/125.23 | (4634) all_461_0_595 = 0 % 181.42/125.23 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.23 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.23 | % 181.42/125.23 | From (424) and (297) follows: % 181.42/125.23 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.23 | (212) all_85_0_75 = 0 % 181.42/125.23 | % 181.42/125.23 | Equations (212) can reduce 181 to: % 181.42/125.23 | (173) $false % 181.42/125.23 | % 181.42/125.23 |-The branch is then unsatisfiable % 181.42/125.23 |-Branch two: % 181.42/125.23 | (4520) all_399_0_579 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4520) yields: % 181.42/125.23 | (4466) all_399_0_579 = 0 % 181.42/125.23 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.42/125.23 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.42/125.23 | % 181.42/125.23 | Instantiating (383) with all_450_0_599 yields: % 181.42/125.23 | (4663) (all_450_0_599 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_450_0_599 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.42/125.23 | % 181.42/125.23 +-Applying beta-rule and splitting (4454), into two cases. % 181.42/125.23 |-Branch one: % 181.42/125.23 | (4470) all_407_0_580 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4470) yields: % 181.42/125.23 | (4471) all_407_0_580 = 0 % 181.42/125.23 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.42/125.23 | (393) all_181_1_103 = all_0_3_3 % 181.42/125.23 | % 181.42/125.23 | From (393) and (259) follows: % 181.42/125.23 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 181.42/125.23 | % 181.42/125.23 +-Applying beta-rule and splitting (4459), into two cases. % 181.42/125.23 |-Branch one: % 181.42/125.23 | (4482) all_415_0_581 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4482) yields: % 181.42/125.23 | (4483) all_415_0_581 = 0 % 181.42/125.23 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.42/125.23 | (501) all_226_1_115 = all_0_3_3 % 181.42/125.23 | % 181.42/125.23 | From (501) and (287) follows: % 181.42/125.23 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 181.42/125.23 | (288) all_181_0_102 = 0 % 181.42/125.23 | % 181.42/125.23 | Equations (288) can reduce 258 to: % 181.42/125.23 | (173) $false % 181.42/125.23 | % 181.42/125.23 |-The branch is then unsatisfiable % 181.42/125.23 |-Branch two: % 181.42/125.23 | (4489) all_415_0_581 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4489) yields: % 181.42/125.23 | (4483) all_415_0_581 = 0 % 181.42/125.23 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.42/125.23 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.42/125.23 | % 181.42/125.23 | Instantiating (508) with all_469_0_600 yields: % 181.42/125.23 | (4680) (all_469_0_600 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_600 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.42/125.23 | % 181.42/125.23 +-Applying beta-rule and splitting (4663), into two cases. % 181.42/125.23 |-Branch one: % 181.42/125.23 | (4681) all_450_0_599 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4681) yields: % 181.42/125.23 | (4682) all_450_0_599 = 0 % 181.42/125.23 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.42/125.23 | (405) all_135_1_90 = all_0_6_6 % 181.42/125.23 | % 181.42/125.23 | From (405) and (231) follows: % 181.42/125.23 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 181.42/125.23 | % 181.42/125.23 +-Applying beta-rule and splitting (4680), into two cases. % 181.42/125.23 |-Branch one: % 181.42/125.23 | (4686) all_469_0_600 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4686) yields: % 181.42/125.23 | (4687) all_469_0_600 = 0 % 181.42/125.23 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.42/125.23 | (525) all_226_1_115 = all_0_6_6 % 181.42/125.23 | % 181.42/125.23 | From (525) and (295) follows: % 181.42/125.23 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.42/125.23 | (261) all_135_0_89 = 0 % 181.42/125.23 | % 181.42/125.23 | Equations (261) can reduce 230 to: % 181.42/125.23 | (173) $false % 181.42/125.23 | % 181.42/125.23 |-The branch is then unsatisfiable % 181.42/125.23 |-Branch two: % 181.42/125.23 | (4693) all_469_0_600 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4693) yields: % 181.42/125.23 | (4687) all_469_0_600 = 0 % 181.42/125.23 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.42/125.23 | (532) all_226_1_115 = all_0_9_9 % 181.42/125.23 | % 181.42/125.23 | From (532) and (308) follows: % 181.42/125.23 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.23 | (212) all_85_0_75 = 0 % 181.42/125.23 | % 181.42/125.23 | Equations (212) can reduce 181 to: % 181.42/125.23 | (173) $false % 181.42/125.23 | % 181.42/125.23 |-The branch is then unsatisfiable % 181.42/125.23 |-Branch two: % 181.42/125.23 | (4700) all_450_0_599 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4700) yields: % 181.42/125.23 | (4682) all_450_0_599 = 0 % 181.42/125.23 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.42/125.23 | (412) all_135_1_90 = all_0_9_9 % 181.42/125.23 | % 181.42/125.23 | From (412) and (241) follows: % 181.42/125.23 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.23 | (212) all_85_0_75 = 0 % 181.42/125.23 | % 181.42/125.23 | Equations (212) can reduce 181 to: % 181.42/125.23 | (173) $false % 181.42/125.23 | % 181.42/125.23 |-The branch is then unsatisfiable % 181.42/125.23 |-Branch two: % 181.42/125.23 | (4477) all_407_0_580 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4477) yields: % 181.42/125.23 | (4471) all_407_0_580 = 0 % 181.42/125.23 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.42/125.23 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.42/125.23 | % 181.42/125.23 | Instantiating (400) with all_458_0_603 yields: % 181.42/125.23 | (4711) (all_458_0_603 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_458_0_603 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.42/125.23 | % 181.42/125.23 +-Applying beta-rule and splitting (4663), into two cases. % 181.42/125.23 |-Branch one: % 181.42/125.23 | (4681) all_450_0_599 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4681) yields: % 181.42/125.23 | (4682) all_450_0_599 = 0 % 181.42/125.23 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.42/125.23 | (405) all_135_1_90 = all_0_6_6 % 181.42/125.23 | % 181.42/125.23 | From (405) and (231) follows: % 181.42/125.23 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 181.42/125.23 | % 181.42/125.23 +-Applying beta-rule and splitting (4711), into two cases. % 181.42/125.23 |-Branch one: % 181.42/125.23 | (4717) all_458_0_603 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4717) yields: % 181.42/125.23 | (4718) all_458_0_603 = 0 % 181.42/125.23 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.23 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.23 | % 181.42/125.23 | From (417) and (260) follows: % 181.42/125.23 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.42/125.23 | % 181.42/125.23 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.42/125.23 | (261) all_135_0_89 = 0 % 181.42/125.23 | % 181.42/125.23 | Equations (261) can reduce 230 to: % 181.42/125.23 | (173) $false % 181.42/125.23 | % 181.42/125.23 |-The branch is then unsatisfiable % 181.42/125.23 |-Branch two: % 181.42/125.23 | (4724) all_458_0_603 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.23 | % 181.42/125.23 | Applying alpha-rule on (4724) yields: % 181.42/125.24 | (4718) all_458_0_603 = 0 % 181.42/125.24 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.24 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.24 | % 181.42/125.24 | From (424) and (297) follows: % 181.42/125.24 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.24 | (212) all_85_0_75 = 0 % 181.42/125.24 | % 181.42/125.24 | Equations (212) can reduce 181 to: % 181.42/125.24 | (173) $false % 181.42/125.24 | % 181.42/125.24 |-The branch is then unsatisfiable % 181.42/125.24 |-Branch two: % 181.42/125.24 | (4700) all_450_0_599 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (4700) yields: % 181.42/125.24 | (4682) all_450_0_599 = 0 % 181.42/125.24 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.42/125.24 | (412) all_135_1_90 = all_0_9_9 % 181.42/125.24 | % 181.42/125.24 | From (412) and (241) follows: % 181.42/125.24 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.24 | (212) all_85_0_75 = 0 % 181.42/125.24 | % 181.42/125.24 | Equations (212) can reduce 181 to: % 181.42/125.24 | (173) $false % 181.42/125.24 | % 181.42/125.24 |-The branch is then unsatisfiable % 181.42/125.24 |-Branch two: % 181.42/125.24 | (4419) all_367_0_565 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (4419) yields: % 181.42/125.24 | (4317) all_367_0_565 = 0 % 181.42/125.24 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 181.42/125.24 | (582) all_226_1_115 = all_0_5_5 % 181.42/125.24 | % 181.42/125.24 | From (582) and (302) follows: % 181.42/125.24 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.42/125.24 | (233) all_110_0_83 = 0 % 181.42/125.24 | % 181.42/125.24 | Equations (233) can reduce 209 to: % 181.42/125.24 | (173) $false % 181.42/125.24 | % 181.42/125.24 |-The branch is then unsatisfiable % 181.42/125.24 |-Branch two: % 181.42/125.24 | (4426) all_359_0_564 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (4426) yields: % 181.42/125.24 | (4312) all_359_0_564 = 0 % 181.42/125.24 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 181.42/125.24 | (474) all_181_1_103 = all_0_5_5 % 181.42/125.24 | % 181.42/125.24 | From (474) and (269) follows: % 181.42/125.24 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.42/125.24 | (233) all_110_0_83 = 0 % 181.42/125.24 | % 181.42/125.24 | Equations (233) can reduce 209 to: % 181.42/125.24 | (173) $false % 181.42/125.24 | % 181.42/125.24 |-The branch is then unsatisfiable % 181.42/125.24 |-Branch two: % 181.42/125.24 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (586) yields: % 181.42/125.24 | (352) all_340_0_133 = 0 % 181.42/125.24 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 181.42/125.24 | (589) all_135_1_90 = all_0_5_5 % 181.42/125.24 | % 181.42/125.24 | From (589) and (232) follows: % 181.42/125.24 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.42/125.24 | (233) all_110_0_83 = 0 % 181.42/125.24 | % 181.42/125.24 | Equations (233) can reduce 209 to: % 181.42/125.24 | (173) $false % 181.42/125.24 | % 181.42/125.24 |-The branch is then unsatisfiable % 181.42/125.24 |-Branch two: % 181.42/125.24 | (1644) all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (1644) yields: % 181.42/125.24 | (342) all_311_0_129 = 0 % 181.42/125.24 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 181.42/125.24 | (1647) all_226_1_115 = all_0_8_8 % 181.42/125.24 | % 181.42/125.24 | From (1647) and (286) follows: % 181.42/125.24 | (1648) mem(all_0_8_8, all_165_1_98) = all_226_0_114 % 181.42/125.24 | % 181.42/125.24 +-Applying beta-rule and splitting (320), into two cases. % 181.42/125.24 |-Branch one: % 181.42/125.24 | (1649) all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (1649) yields: % 181.42/125.24 | (1650) all_318_0_130 = 0 % 181.42/125.24 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 181.42/125.24 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 181.42/125.24 | % 181.42/125.24 | Instantiating (1652) with all_378_0_606 yields: % 181.42/125.24 | (4768) (all_378_0_606 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_378_0_606 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 181.42/125.24 | % 181.42/125.24 +-Applying beta-rule and splitting (325), into two cases. % 181.42/125.24 |-Branch one: % 181.42/125.24 | (346) all_332_0_132 = 0 & mem(all_85_1_76, all_72_0_70) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (346) yields: % 181.42/125.24 | (347) all_332_0_132 = 0 % 181.42/125.24 | (348) mem(all_85_1_76, all_72_0_70) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_85_1_76, all_72_0_70) = 0, yields: % 181.42/125.24 | (349) all_85_1_76 = all_0_3_3 % 181.42/125.24 | % 181.42/125.24 | From (349) and (182) follows: % 181.42/125.24 | (350) mem(all_0_3_3, all_57_1_65) = all_85_0_75 % 181.42/125.24 | % 181.42/125.24 +-Applying beta-rule and splitting (330), into two cases. % 181.42/125.24 |-Branch one: % 181.42/125.24 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (351) yields: % 181.42/125.24 | (352) all_340_0_133 = 0 % 181.42/125.24 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 181.42/125.24 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 181.42/125.24 | % 181.42/125.24 | Instantiating (354) with all_405_0_608 yields: % 181.42/125.24 | (4778) (all_405_0_608 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_405_0_608 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 181.42/125.24 | % 181.42/125.24 +-Applying beta-rule and splitting (4295), into two cases. % 181.42/125.24 |-Branch one: % 181.42/125.24 | (4311) all_359_0_564 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (4311) yields: % 181.42/125.24 | (4312) all_359_0_564 = 0 % 181.42/125.24 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 181.42/125.24 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 181.42/125.24 | % 181.42/125.24 | Instantiating (371) with all_413_0_609 yields: % 181.42/125.24 | (4783) (all_413_0_609 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_413_0_609 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 181.42/125.24 | % 181.42/125.24 +-Applying beta-rule and splitting (4768), into two cases. % 181.42/125.24 |-Branch one: % 181.42/125.24 | (4784) all_378_0_606 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (4784) yields: % 181.42/125.24 | (4785) all_378_0_606 = 0 % 181.42/125.24 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 181.42/125.24 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 181.42/125.24 | % 181.42/125.24 | Instantiating (1787) with all_421_0_610 yields: % 181.42/125.24 | (4788) (all_421_0_610 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_610 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 181.42/125.24 | % 181.42/125.24 +-Applying beta-rule and splitting (4778), into two cases. % 181.42/125.24 |-Branch one: % 181.42/125.24 | (4789) all_405_0_608 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (4789) yields: % 181.42/125.24 | (4790) all_405_0_608 = 0 % 181.42/125.24 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.42/125.24 | (376) all_135_1_90 = all_0_3_3 % 181.42/125.24 | % 181.42/125.24 | From (376) and (241) follows: % 181.42/125.24 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.42/125.24 | (212) all_85_0_75 = 0 % 181.42/125.24 | % 181.42/125.24 | Equations (212) can reduce 181 to: % 181.42/125.24 | (173) $false % 181.42/125.24 | % 181.42/125.24 |-The branch is then unsatisfiable % 181.42/125.24 |-Branch two: % 181.42/125.24 | (4796) all_405_0_608 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.24 | % 181.42/125.24 | Applying alpha-rule on (4796) yields: % 181.42/125.24 | (4790) all_405_0_608 = 0 % 181.42/125.24 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.24 | % 181.42/125.24 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.42/125.24 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.42/125.24 | % 181.42/125.24 | Instantiating (383) with all_437_0_612 yields: % 181.42/125.25 | (4800) (all_437_0_612 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_437_0_612 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.42/125.25 | % 181.42/125.25 +-Applying beta-rule and splitting (4783), into two cases. % 181.42/125.25 |-Branch one: % 181.42/125.25 | (4801) all_413_0_609 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4801) yields: % 181.42/125.25 | (4802) all_413_0_609 = 0 % 181.42/125.25 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.42/125.25 | (393) all_181_1_103 = all_0_3_3 % 181.42/125.25 | % 181.42/125.25 | From (393) and (297) follows: % 181.42/125.25 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.42/125.25 | (212) all_85_0_75 = 0 % 181.42/125.25 | % 181.42/125.25 | Equations (212) can reduce 181 to: % 181.42/125.25 | (173) $false % 181.42/125.25 | % 181.42/125.25 |-The branch is then unsatisfiable % 181.42/125.25 |-Branch two: % 181.42/125.25 | (4808) all_413_0_609 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4808) yields: % 181.42/125.25 | (4802) all_413_0_609 = 0 % 181.42/125.25 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.42/125.25 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.42/125.25 | % 181.42/125.25 | Instantiating (400) with all_445_0_613 yields: % 181.42/125.25 | (4812) (all_445_0_613 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_613 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.42/125.25 | % 181.42/125.25 +-Applying beta-rule and splitting (4788), into two cases. % 181.42/125.25 |-Branch one: % 181.42/125.25 | (4813) all_421_0_610 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4813) yields: % 181.42/125.25 | (4814) all_421_0_610 = 0 % 181.42/125.25 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.42/125.25 | (1809) all_205_2_109 = all_0_3_3 % 181.42/125.25 | % 181.42/125.25 | From (1809) and (315) follows: % 181.42/125.25 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.42/125.25 | (212) all_85_0_75 = 0 % 181.42/125.25 | % 181.42/125.25 | Equations (212) can reduce 181 to: % 181.42/125.25 | (173) $false % 181.42/125.25 | % 181.42/125.25 |-The branch is then unsatisfiable % 181.42/125.25 |-Branch two: % 181.42/125.25 | (4820) all_421_0_610 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4820) yields: % 181.42/125.25 | (4814) all_421_0_610 = 0 % 181.42/125.25 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.42/125.25 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.42/125.25 | % 181.42/125.25 | Instantiating (1816) with all_453_0_614 yields: % 181.42/125.25 | (4824) (all_453_0_614 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_614 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.42/125.25 | % 181.42/125.25 +-Applying beta-rule and splitting (4800), into two cases. % 181.42/125.25 |-Branch one: % 181.42/125.25 | (4825) all_437_0_612 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4825) yields: % 181.42/125.25 | (4826) all_437_0_612 = 0 % 181.42/125.25 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.42/125.25 | (405) all_135_1_90 = all_0_6_6 % 181.42/125.25 | % 181.42/125.25 | From (405) and (231) follows: % 181.42/125.25 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 181.42/125.25 | % 181.42/125.25 +-Applying beta-rule and splitting (4812), into two cases. % 181.42/125.25 |-Branch one: % 181.42/125.25 | (4830) all_445_0_613 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4830) yields: % 181.42/125.25 | (4831) all_445_0_613 = 0 % 181.42/125.25 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.25 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.25 | % 181.42/125.25 | From (417) and (260) follows: % 181.42/125.25 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.42/125.25 | (261) all_135_0_89 = 0 % 181.42/125.25 | % 181.42/125.25 | Equations (261) can reduce 230 to: % 181.42/125.25 | (173) $false % 181.42/125.25 | % 181.42/125.25 |-The branch is then unsatisfiable % 181.42/125.25 |-Branch two: % 181.42/125.25 | (4837) all_445_0_613 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4837) yields: % 181.42/125.25 | (4831) all_445_0_613 = 0 % 181.42/125.25 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.25 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.25 | % 181.42/125.25 | From (424) and (259) follows: % 181.42/125.25 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 181.42/125.25 | % 181.42/125.25 +-Applying beta-rule and splitting (4824), into two cases. % 181.42/125.25 |-Branch one: % 181.42/125.25 | (4842) all_453_0_614 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4842) yields: % 181.42/125.25 | (4843) all_453_0_614 = 0 % 181.42/125.25 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.42/125.25 | (1833) all_205_2_109 = all_0_6_6 % 181.42/125.25 | % 181.42/125.25 | From (1833) and (303) follows: % 181.42/125.25 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.42/125.25 | (261) all_135_0_89 = 0 % 181.42/125.25 | % 181.42/125.25 | Equations (261) can reduce 230 to: % 181.42/125.25 | (173) $false % 181.42/125.25 | % 181.42/125.25 |-The branch is then unsatisfiable % 181.42/125.25 |-Branch two: % 181.42/125.25 | (4849) all_453_0_614 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4849) yields: % 181.42/125.25 | (4843) all_453_0_614 = 0 % 181.42/125.25 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.42/125.25 | (1840) all_205_2_109 = all_0_9_9 % 181.42/125.25 | % 181.42/125.25 | From (1840) and (296) follows: % 181.42/125.25 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 181.42/125.25 | (288) all_181_0_102 = 0 % 181.42/125.25 | % 181.42/125.25 | Equations (288) can reduce 258 to: % 181.42/125.25 | (173) $false % 181.42/125.25 | % 181.42/125.25 |-The branch is then unsatisfiable % 181.42/125.25 |-Branch two: % 181.42/125.25 | (4856) all_437_0_612 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4856) yields: % 181.42/125.25 | (4826) all_437_0_612 = 0 % 181.42/125.25 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.42/125.25 | (412) all_135_1_90 = all_0_9_9 % 181.42/125.25 | % 181.42/125.25 | From (412) and (231) follows: % 181.42/125.25 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 181.42/125.25 | % 181.42/125.25 +-Applying beta-rule and splitting (4812), into two cases. % 181.42/125.25 |-Branch one: % 181.42/125.25 | (4830) all_445_0_613 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4830) yields: % 181.42/125.25 | (4831) all_445_0_613 = 0 % 181.42/125.25 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.25 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.25 | % 181.42/125.25 | From (417) and (259) follows: % 181.42/125.25 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 181.42/125.25 | % 181.42/125.25 +-Applying beta-rule and splitting (4824), into two cases. % 181.42/125.25 |-Branch one: % 181.42/125.25 | (4842) all_453_0_614 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Applying alpha-rule on (4842) yields: % 181.42/125.25 | (4843) all_453_0_614 = 0 % 181.42/125.25 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.42/125.25 | (1833) all_205_2_109 = all_0_6_6 % 181.42/125.25 | % 181.42/125.25 | From (1833) and (296) follows: % 181.42/125.25 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 181.42/125.25 | % 181.42/125.25 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 181.42/125.25 | (288) all_181_0_102 = 0 % 181.42/125.25 | % 181.42/125.25 | Equations (288) can reduce 258 to: % 181.42/125.25 | (173) $false % 181.42/125.25 | % 181.42/125.25 |-The branch is then unsatisfiable % 181.42/125.25 |-Branch two: % 181.42/125.26 | (4849) all_453_0_614 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (4849) yields: % 181.42/125.26 | (4843) all_453_0_614 = 0 % 181.42/125.26 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.42/125.26 | (1840) all_205_2_109 = all_0_9_9 % 181.42/125.26 | % 181.42/125.26 | From (1840) and (303) follows: % 181.42/125.26 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.42/125.26 | (261) all_135_0_89 = 0 % 181.42/125.26 | % 181.42/125.26 | Equations (261) can reduce 230 to: % 181.42/125.26 | (173) $false % 181.42/125.26 | % 181.42/125.26 |-The branch is then unsatisfiable % 181.42/125.26 |-Branch two: % 181.42/125.26 | (4837) all_445_0_613 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (4837) yields: % 181.42/125.26 | (4831) all_445_0_613 = 0 % 181.42/125.26 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.26 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.26 | % 181.42/125.26 | From (424) and (260) follows: % 181.42/125.26 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.42/125.26 | (261) all_135_0_89 = 0 % 181.42/125.26 | % 181.42/125.26 | Equations (261) can reduce 230 to: % 181.42/125.26 | (173) $false % 181.42/125.26 | % 181.42/125.26 |-The branch is then unsatisfiable % 181.42/125.26 |-Branch two: % 181.42/125.26 | (4887) all_378_0_606 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (4887) yields: % 181.42/125.26 | (4785) all_378_0_606 = 0 % 181.42/125.26 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 181.42/125.26 | (1890) all_205_2_109 = all_0_5_5 % 181.42/125.26 | % 181.42/125.26 | From (1890) and (309) follows: % 181.42/125.26 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.42/125.26 | (233) all_110_0_83 = 0 % 181.42/125.26 | % 181.42/125.26 | Equations (233) can reduce 209 to: % 181.42/125.26 | (173) $false % 181.42/125.26 | % 181.42/125.26 |-The branch is then unsatisfiable % 181.42/125.26 |-Branch two: % 181.42/125.26 | (4426) all_359_0_564 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (4426) yields: % 181.42/125.26 | (4312) all_359_0_564 = 0 % 181.42/125.26 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 181.42/125.26 | (474) all_181_1_103 = all_0_5_5 % 181.42/125.26 | % 181.42/125.26 | From (474) and (269) follows: % 181.42/125.26 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.42/125.26 | (233) all_110_0_83 = 0 % 181.42/125.26 | % 181.42/125.26 | Equations (233) can reduce 209 to: % 181.42/125.26 | (173) $false % 181.42/125.26 | % 181.42/125.26 |-The branch is then unsatisfiable % 181.42/125.26 |-Branch two: % 181.42/125.26 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (586) yields: % 181.42/125.26 | (352) all_340_0_133 = 0 % 181.42/125.26 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 181.42/125.26 | (589) all_135_1_90 = all_0_5_5 % 181.42/125.26 | % 181.42/125.26 | From (589) and (232) follows: % 181.42/125.26 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.42/125.26 | (233) all_110_0_83 = 0 % 181.42/125.26 | % 181.42/125.26 | Equations (233) can reduce 209 to: % 181.42/125.26 | (173) $false % 181.42/125.26 | % 181.42/125.26 |-The branch is then unsatisfiable % 181.42/125.26 |-Branch two: % 181.42/125.26 | (737) all_332_0_132 = 0 & mem(all_85_1_76, all_0_3_3) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (737) yields: % 181.42/125.26 | (347) all_332_0_132 = 0 % 181.42/125.26 | (739) mem(all_85_1_76, all_0_3_3) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_85_1_76, all_0_3_3) = 0, yields: % 181.42/125.26 | (740) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_6_6) = 0)) % 181.42/125.26 | % 181.42/125.26 | Instantiating (740) with all_394_0_616 yields: % 181.42/125.26 | (4912) (all_394_0_616 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (all_394_0_616 = 0 & mem(all_85_1_76, all_0_6_6) = 0) % 181.42/125.26 | % 181.42/125.26 +-Applying beta-rule and splitting (330), into two cases. % 181.42/125.26 |-Branch one: % 181.42/125.26 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (351) yields: % 181.42/125.26 | (352) all_340_0_133 = 0 % 181.42/125.26 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 181.42/125.26 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 181.42/125.26 | % 181.42/125.26 | Instantiating (354) with all_402_0_617 yields: % 181.42/125.26 | (4917) (all_402_0_617 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_402_0_617 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 181.42/125.26 | % 181.42/125.26 +-Applying beta-rule and splitting (4295), into two cases. % 181.42/125.26 |-Branch one: % 181.42/125.26 | (4311) all_359_0_564 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (4311) yields: % 181.42/125.26 | (4312) all_359_0_564 = 0 % 181.42/125.26 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 181.42/125.26 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 181.42/125.26 | % 181.42/125.26 | Instantiating (371) with all_410_0_618 yields: % 181.42/125.26 | (4922) (all_410_0_618 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_410_0_618 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 181.42/125.26 | % 181.42/125.26 +-Applying beta-rule and splitting (4768), into two cases. % 181.42/125.26 |-Branch one: % 181.42/125.26 | (4784) all_378_0_606 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (4784) yields: % 181.42/125.26 | (4785) all_378_0_606 = 0 % 181.42/125.26 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 181.42/125.26 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 181.42/125.26 | % 181.42/125.26 | Instantiating (1787) with all_418_0_619 yields: % 181.42/125.26 | (4927) (all_418_0_619 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_619 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 181.42/125.26 | % 181.42/125.26 +-Applying beta-rule and splitting (4912), into two cases. % 181.42/125.26 |-Branch one: % 181.42/125.26 | (4928) all_394_0_616 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (4928) yields: % 181.42/125.26 | (4929) all_394_0_616 = 0 % 181.42/125.26 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 181.42/125.26 | (760) all_85_1_76 = all_0_6_6 % 181.42/125.26 | % 181.42/125.26 | From (760) and (182) follows: % 181.42/125.26 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 181.42/125.26 | % 181.42/125.26 +-Applying beta-rule and splitting (4917), into two cases. % 181.42/125.26 |-Branch one: % 181.42/125.26 | (4933) all_402_0_617 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.26 | % 181.42/125.26 | Applying alpha-rule on (4933) yields: % 181.42/125.26 | (4934) all_402_0_617 = 0 % 181.42/125.26 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.26 | % 181.42/125.26 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.42/125.26 | (376) all_135_1_90 = all_0_3_3 % 181.42/125.26 | % 181.42/125.26 | From (376) and (231) follows: % 181.42/125.26 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 181.42/125.26 | % 181.42/125.26 +-Applying beta-rule and splitting (4922), into two cases. % 181.42/125.26 |-Branch one: % 181.42/125.26 | (4938) all_410_0_618 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.26 | % 181.42/125.27 | Applying alpha-rule on (4938) yields: % 181.42/125.27 | (4939) all_410_0_618 = 0 % 181.42/125.27 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.42/125.27 | (393) all_181_1_103 = all_0_3_3 % 181.42/125.27 | % 181.42/125.27 | From (393) and (260) follows: % 181.42/125.27 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.42/125.27 | (261) all_135_0_89 = 0 % 181.42/125.27 | % 181.42/125.27 | Equations (261) can reduce 230 to: % 181.42/125.27 | (173) $false % 181.42/125.27 | % 181.42/125.27 |-The branch is then unsatisfiable % 181.42/125.27 |-Branch two: % 181.42/125.27 | (4945) all_410_0_618 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4945) yields: % 181.42/125.27 | (4939) all_410_0_618 = 0 % 181.42/125.27 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.42/125.27 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.42/125.27 | % 181.42/125.27 | Instantiating (400) with all_456_0_621 yields: % 181.42/125.27 | (4949) (all_456_0_621 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_621 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.42/125.27 | % 181.42/125.27 +-Applying beta-rule and splitting (4927), into two cases. % 181.42/125.27 |-Branch one: % 181.42/125.27 | (4950) all_418_0_619 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4950) yields: % 181.42/125.27 | (4951) all_418_0_619 = 0 % 181.42/125.27 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.42/125.27 | (1809) all_205_2_109 = all_0_3_3 % 181.42/125.27 | % 181.42/125.27 | From (1809) and (303) follows: % 181.42/125.27 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.42/125.27 | (261) all_135_0_89 = 0 % 181.42/125.27 | % 181.42/125.27 | Equations (261) can reduce 230 to: % 181.42/125.27 | (173) $false % 181.42/125.27 | % 181.42/125.27 |-The branch is then unsatisfiable % 181.42/125.27 |-Branch two: % 181.42/125.27 | (4957) all_418_0_619 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4957) yields: % 181.42/125.27 | (4951) all_418_0_619 = 0 % 181.42/125.27 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.42/125.27 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.42/125.27 | % 181.42/125.27 | Instantiating (1816) with all_464_0_622 yields: % 181.42/125.27 | (4961) (all_464_0_622 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_622 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.42/125.27 | % 181.42/125.27 +-Applying beta-rule and splitting (4949), into two cases. % 181.42/125.27 |-Branch one: % 181.42/125.27 | (4962) all_456_0_621 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4962) yields: % 181.42/125.27 | (4963) all_456_0_621 = 0 % 181.42/125.27 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.27 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.27 | % 181.42/125.27 | From (417) and (297) follows: % 181.42/125.27 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.27 | (212) all_85_0_75 = 0 % 181.42/125.27 | % 181.42/125.27 | Equations (212) can reduce 181 to: % 181.42/125.27 | (173) $false % 181.42/125.27 | % 181.42/125.27 |-The branch is then unsatisfiable % 181.42/125.27 |-Branch two: % 181.42/125.27 | (4969) all_456_0_621 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4969) yields: % 181.42/125.27 | (4963) all_456_0_621 = 0 % 181.42/125.27 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.27 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.27 | % 181.42/125.27 | From (424) and (259) follows: % 181.42/125.27 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 181.42/125.27 | % 181.42/125.27 +-Applying beta-rule and splitting (4961), into two cases. % 181.42/125.27 |-Branch one: % 181.42/125.27 | (4974) all_464_0_622 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4974) yields: % 181.42/125.27 | (4975) all_464_0_622 = 0 % 181.42/125.27 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.42/125.27 | (1833) all_205_2_109 = all_0_6_6 % 181.42/125.27 | % 181.42/125.27 | From (1833) and (315) follows: % 181.42/125.27 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.27 | (212) all_85_0_75 = 0 % 181.42/125.27 | % 181.42/125.27 | Equations (212) can reduce 181 to: % 181.42/125.27 | (173) $false % 181.42/125.27 | % 181.42/125.27 |-The branch is then unsatisfiable % 181.42/125.27 |-Branch two: % 181.42/125.27 | (4981) all_464_0_622 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4981) yields: % 181.42/125.27 | (4975) all_464_0_622 = 0 % 181.42/125.27 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.42/125.27 | (1840) all_205_2_109 = all_0_9_9 % 181.42/125.27 | % 181.42/125.27 | From (1840) and (296) follows: % 181.42/125.27 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 181.42/125.27 | (288) all_181_0_102 = 0 % 181.42/125.27 | % 181.42/125.27 | Equations (288) can reduce 258 to: % 181.42/125.27 | (173) $false % 181.42/125.27 | % 181.42/125.27 |-The branch is then unsatisfiable % 181.42/125.27 |-Branch two: % 181.42/125.27 | (4988) all_402_0_617 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4988) yields: % 181.42/125.27 | (4934) all_402_0_617 = 0 % 181.42/125.27 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.42/125.27 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.42/125.27 | % 181.42/125.27 | Instantiating (383) with all_445_0_624 yields: % 181.42/125.27 | (4992) (all_445_0_624 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_624 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.42/125.27 | % 181.42/125.27 +-Applying beta-rule and splitting (4922), into two cases. % 181.42/125.27 |-Branch one: % 181.42/125.27 | (4938) all_410_0_618 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4938) yields: % 181.42/125.27 | (4939) all_410_0_618 = 0 % 181.42/125.27 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.42/125.27 | (393) all_181_1_103 = all_0_3_3 % 181.42/125.27 | % 181.42/125.27 | From (393) and (259) follows: % 181.42/125.27 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 181.42/125.27 | % 181.42/125.27 +-Applying beta-rule and splitting (4927), into two cases. % 181.42/125.27 |-Branch one: % 181.42/125.27 | (4950) all_418_0_619 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.27 | % 181.42/125.27 | Applying alpha-rule on (4950) yields: % 181.42/125.27 | (4951) all_418_0_619 = 0 % 181.42/125.27 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.27 | % 181.42/125.27 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.42/125.27 | (1809) all_205_2_109 = all_0_3_3 % 181.42/125.27 | % 181.42/125.27 | From (1809) and (296) follows: % 181.42/125.28 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 181.42/125.28 | (288) all_181_0_102 = 0 % 181.42/125.28 | % 181.42/125.28 | Equations (288) can reduce 258 to: % 181.42/125.28 | (173) $false % 181.42/125.28 | % 181.42/125.28 |-The branch is then unsatisfiable % 181.42/125.28 |-Branch two: % 181.42/125.28 | (4957) all_418_0_619 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (4957) yields: % 181.42/125.28 | (4951) all_418_0_619 = 0 % 181.42/125.28 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.42/125.28 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.42/125.28 | % 181.42/125.28 | Instantiating (1816) with all_464_0_625 yields: % 181.42/125.28 | (5009) (all_464_0_625 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_625 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.42/125.28 | % 181.42/125.28 +-Applying beta-rule and splitting (4992), into two cases. % 181.42/125.28 |-Branch one: % 181.42/125.28 | (5010) all_445_0_624 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (5010) yields: % 181.42/125.28 | (5011) all_445_0_624 = 0 % 181.42/125.28 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.42/125.28 | (405) all_135_1_90 = all_0_6_6 % 181.42/125.28 | % 181.42/125.28 | From (405) and (241) follows: % 181.42/125.28 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.28 | (212) all_85_0_75 = 0 % 181.42/125.28 | % 181.42/125.28 | Equations (212) can reduce 181 to: % 181.42/125.28 | (173) $false % 181.42/125.28 | % 181.42/125.28 |-The branch is then unsatisfiable % 181.42/125.28 |-Branch two: % 181.42/125.28 | (5017) all_445_0_624 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (5017) yields: % 181.42/125.28 | (5011) all_445_0_624 = 0 % 181.42/125.28 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.42/125.28 | (412) all_135_1_90 = all_0_9_9 % 181.42/125.28 | % 181.42/125.28 | From (412) and (231) follows: % 181.42/125.28 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 181.42/125.28 | % 181.42/125.28 +-Applying beta-rule and splitting (5009), into two cases. % 181.42/125.28 |-Branch one: % 181.42/125.28 | (5022) all_464_0_625 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (5022) yields: % 181.42/125.28 | (5023) all_464_0_625 = 0 % 181.42/125.28 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.42/125.28 | (1833) all_205_2_109 = all_0_6_6 % 181.42/125.28 | % 181.42/125.28 | From (1833) and (315) follows: % 181.42/125.28 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.28 | (212) all_85_0_75 = 0 % 181.42/125.28 | % 181.42/125.28 | Equations (212) can reduce 181 to: % 181.42/125.28 | (173) $false % 181.42/125.28 | % 181.42/125.28 |-The branch is then unsatisfiable % 181.42/125.28 |-Branch two: % 181.42/125.28 | (5029) all_464_0_625 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (5029) yields: % 181.42/125.28 | (5023) all_464_0_625 = 0 % 181.42/125.28 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.42/125.28 | (1840) all_205_2_109 = all_0_9_9 % 181.42/125.28 | % 181.42/125.28 | From (1840) and (303) follows: % 181.42/125.28 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.42/125.28 | (261) all_135_0_89 = 0 % 181.42/125.28 | % 181.42/125.28 | Equations (261) can reduce 230 to: % 181.42/125.28 | (173) $false % 181.42/125.28 | % 181.42/125.28 |-The branch is then unsatisfiable % 181.42/125.28 |-Branch two: % 181.42/125.28 | (4945) all_410_0_618 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (4945) yields: % 181.42/125.28 | (4939) all_410_0_618 = 0 % 181.42/125.28 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.42/125.28 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.42/125.28 | % 181.42/125.28 | Instantiating (400) with all_453_0_627 yields: % 181.42/125.28 | (5040) (all_453_0_627 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_627 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.42/125.28 | % 181.42/125.28 +-Applying beta-rule and splitting (4992), into two cases. % 181.42/125.28 |-Branch one: % 181.42/125.28 | (5010) all_445_0_624 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (5010) yields: % 181.42/125.28 | (5011) all_445_0_624 = 0 % 181.42/125.28 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.42/125.28 | (405) all_135_1_90 = all_0_6_6 % 181.42/125.28 | % 181.42/125.28 | From (405) and (241) follows: % 181.42/125.28 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.28 | (212) all_85_0_75 = 0 % 181.42/125.28 | % 181.42/125.28 | Equations (212) can reduce 181 to: % 181.42/125.28 | (173) $false % 181.42/125.28 | % 181.42/125.28 |-The branch is then unsatisfiable % 181.42/125.28 |-Branch two: % 181.42/125.28 | (5017) all_445_0_624 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (5017) yields: % 181.42/125.28 | (5011) all_445_0_624 = 0 % 181.42/125.28 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.42/125.28 | (412) all_135_1_90 = all_0_9_9 % 181.42/125.28 | % 181.42/125.28 | From (412) and (231) follows: % 181.42/125.28 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 181.42/125.28 | % 181.42/125.28 +-Applying beta-rule and splitting (5040), into two cases. % 181.42/125.28 |-Branch one: % 181.42/125.28 | (5053) all_453_0_627 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (5053) yields: % 181.42/125.28 | (5054) all_453_0_627 = 0 % 181.42/125.28 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.28 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.28 | % 181.42/125.28 | From (417) and (297) follows: % 181.42/125.28 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.42/125.28 | (212) all_85_0_75 = 0 % 181.42/125.28 | % 181.42/125.28 | Equations (212) can reduce 181 to: % 181.42/125.28 | (173) $false % 181.42/125.28 | % 181.42/125.28 |-The branch is then unsatisfiable % 181.42/125.28 |-Branch two: % 181.42/125.28 | (5060) all_453_0_627 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.28 | % 181.42/125.28 | Applying alpha-rule on (5060) yields: % 181.42/125.28 | (5054) all_453_0_627 = 0 % 181.42/125.28 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.28 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.28 | % 181.42/125.28 | From (424) and (260) follows: % 181.42/125.28 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.42/125.28 | % 181.42/125.28 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.42/125.28 | (261) all_135_0_89 = 0 % 181.42/125.28 | % 181.42/125.28 | Equations (261) can reduce 230 to: % 181.42/125.28 | (173) $false % 181.42/125.28 | % 181.42/125.28 |-The branch is then unsatisfiable % 181.42/125.28 |-Branch two: % 181.42/125.28 | (5067) all_394_0_616 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 181.42/125.28 | % 181.42/125.29 | Applying alpha-rule on (5067) yields: % 181.42/125.29 | (4929) all_394_0_616 = 0 % 181.42/125.29 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 181.42/125.29 | (815) all_85_1_76 = all_0_9_9 % 181.42/125.29 | % 181.42/125.29 | From (815) and (182) follows: % 181.42/125.29 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 181.42/125.29 | % 181.42/125.29 +-Applying beta-rule and splitting (4917), into two cases. % 181.42/125.29 |-Branch one: % 181.42/125.29 | (4933) all_402_0_617 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (4933) yields: % 181.42/125.29 | (4934) all_402_0_617 = 0 % 181.42/125.29 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.42/125.29 | (376) all_135_1_90 = all_0_3_3 % 181.42/125.29 | % 181.42/125.29 | From (376) and (231) follows: % 181.42/125.29 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 181.42/125.29 | % 181.42/125.29 +-Applying beta-rule and splitting (4922), into two cases. % 181.42/125.29 |-Branch one: % 181.42/125.29 | (4938) all_410_0_618 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (4938) yields: % 181.42/125.29 | (4939) all_410_0_618 = 0 % 181.42/125.29 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.42/125.29 | (393) all_181_1_103 = all_0_3_3 % 181.42/125.29 | % 181.42/125.29 | From (393) and (260) follows: % 181.42/125.29 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.42/125.29 | (261) all_135_0_89 = 0 % 181.42/125.29 | % 181.42/125.29 | Equations (261) can reduce 230 to: % 181.42/125.29 | (173) $false % 181.42/125.29 | % 181.42/125.29 |-The branch is then unsatisfiable % 181.42/125.29 |-Branch two: % 181.42/125.29 | (4945) all_410_0_618 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (4945) yields: % 181.42/125.29 | (4939) all_410_0_618 = 0 % 181.42/125.29 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.42/125.29 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.42/125.29 | % 181.42/125.29 | Instantiating (400) with all_456_0_641 yields: % 181.42/125.29 | (5088) (all_456_0_641 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_641 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.42/125.29 | % 181.42/125.29 +-Applying beta-rule and splitting (4927), into two cases. % 181.42/125.29 |-Branch one: % 181.42/125.29 | (4950) all_418_0_619 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (4950) yields: % 181.42/125.29 | (4951) all_418_0_619 = 0 % 181.42/125.29 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.42/125.29 | (1809) all_205_2_109 = all_0_3_3 % 181.42/125.29 | % 181.42/125.29 | From (1809) and (303) follows: % 181.42/125.29 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.42/125.29 | (261) all_135_0_89 = 0 % 181.42/125.29 | % 181.42/125.29 | Equations (261) can reduce 230 to: % 181.42/125.29 | (173) $false % 181.42/125.29 | % 181.42/125.29 |-The branch is then unsatisfiable % 181.42/125.29 |-Branch two: % 181.42/125.29 | (4957) all_418_0_619 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (4957) yields: % 181.42/125.29 | (4951) all_418_0_619 = 0 % 181.42/125.29 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.42/125.29 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.42/125.29 | % 181.42/125.29 | Instantiating (1816) with all_464_0_642 yields: % 181.42/125.29 | (5100) (all_464_0_642 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_642 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.42/125.29 | % 181.42/125.29 +-Applying beta-rule and splitting (5088), into two cases. % 181.42/125.29 |-Branch one: % 181.42/125.29 | (5101) all_456_0_641 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (5101) yields: % 181.42/125.29 | (5102) all_456_0_641 = 0 % 181.42/125.29 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.29 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.29 | % 181.42/125.29 | From (417) and (259) follows: % 181.42/125.29 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 181.42/125.29 | % 181.42/125.29 +-Applying beta-rule and splitting (5100), into two cases. % 181.42/125.29 |-Branch one: % 181.42/125.29 | (5106) all_464_0_642 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (5106) yields: % 181.42/125.29 | (5107) all_464_0_642 = 0 % 181.42/125.29 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.42/125.29 | (1833) all_205_2_109 = all_0_6_6 % 181.42/125.29 | % 181.42/125.29 | From (1833) and (296) follows: % 181.42/125.29 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 181.42/125.29 | (288) all_181_0_102 = 0 % 181.42/125.29 | % 181.42/125.29 | Equations (288) can reduce 258 to: % 181.42/125.29 | (173) $false % 181.42/125.29 | % 181.42/125.29 |-The branch is then unsatisfiable % 181.42/125.29 |-Branch two: % 181.42/125.29 | (5113) all_464_0_642 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (5113) yields: % 181.42/125.29 | (5107) all_464_0_642 = 0 % 181.42/125.29 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.42/125.29 | (1840) all_205_2_109 = all_0_9_9 % 181.42/125.29 | % 181.42/125.29 | From (1840) and (315) follows: % 181.42/125.29 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.29 | (212) all_85_0_75 = 0 % 181.42/125.29 | % 181.42/125.29 | Equations (212) can reduce 181 to: % 181.42/125.29 | (173) $false % 181.42/125.29 | % 181.42/125.29 |-The branch is then unsatisfiable % 181.42/125.29 |-Branch two: % 181.42/125.29 | (5120) all_456_0_641 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (5120) yields: % 181.42/125.29 | (5102) all_456_0_641 = 0 % 181.42/125.29 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.29 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.29 | % 181.42/125.29 | From (424) and (297) follows: % 181.42/125.29 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.29 | (212) all_85_0_75 = 0 % 181.42/125.29 | % 181.42/125.29 | Equations (212) can reduce 181 to: % 181.42/125.29 | (173) $false % 181.42/125.29 | % 181.42/125.29 |-The branch is then unsatisfiable % 181.42/125.29 |-Branch two: % 181.42/125.29 | (4988) all_402_0_617 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.29 | % 181.42/125.29 | Applying alpha-rule on (4988) yields: % 181.42/125.29 | (4934) all_402_0_617 = 0 % 181.42/125.29 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.42/125.29 | % 181.42/125.29 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.42/125.29 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.42/125.29 | % 181.42/125.29 | Instantiating (383) with all_445_0_644 yields: % 181.42/125.29 | (5131) (all_445_0_644 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_644 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.42/125.29 | % 181.42/125.29 +-Applying beta-rule and splitting (4922), into two cases. % 181.42/125.29 |-Branch one: % 181.42/125.30 | (4938) all_410_0_618 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (4938) yields: % 181.42/125.30 | (4939) all_410_0_618 = 0 % 181.42/125.30 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.42/125.30 | (393) all_181_1_103 = all_0_3_3 % 181.42/125.30 | % 181.42/125.30 | From (393) and (259) follows: % 181.42/125.30 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 181.42/125.30 | % 181.42/125.30 +-Applying beta-rule and splitting (4927), into two cases. % 181.42/125.30 |-Branch one: % 181.42/125.30 | (4950) all_418_0_619 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (4950) yields: % 181.42/125.30 | (4951) all_418_0_619 = 0 % 181.42/125.30 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.42/125.30 | (1809) all_205_2_109 = all_0_3_3 % 181.42/125.30 | % 181.42/125.30 | From (1809) and (296) follows: % 181.42/125.30 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 181.42/125.30 | (288) all_181_0_102 = 0 % 181.42/125.30 | % 181.42/125.30 | Equations (288) can reduce 258 to: % 181.42/125.30 | (173) $false % 181.42/125.30 | % 181.42/125.30 |-The branch is then unsatisfiable % 181.42/125.30 |-Branch two: % 181.42/125.30 | (4957) all_418_0_619 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (4957) yields: % 181.42/125.30 | (4951) all_418_0_619 = 0 % 181.42/125.30 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.42/125.30 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.42/125.30 | % 181.42/125.30 | Instantiating (1816) with all_464_0_645 yields: % 181.42/125.30 | (5148) (all_464_0_645 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_645 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.42/125.30 | % 181.42/125.30 +-Applying beta-rule and splitting (5131), into two cases. % 181.42/125.30 |-Branch one: % 181.42/125.30 | (5149) all_445_0_644 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (5149) yields: % 181.42/125.30 | (5150) all_445_0_644 = 0 % 181.42/125.30 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.42/125.30 | (405) all_135_1_90 = all_0_6_6 % 181.42/125.30 | % 181.42/125.30 | From (405) and (231) follows: % 181.42/125.30 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 181.42/125.30 | % 181.42/125.30 +-Applying beta-rule and splitting (5148), into two cases. % 181.42/125.30 |-Branch one: % 181.42/125.30 | (5154) all_464_0_645 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (5154) yields: % 181.42/125.30 | (5155) all_464_0_645 = 0 % 181.42/125.30 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.42/125.30 | (1833) all_205_2_109 = all_0_6_6 % 181.42/125.30 | % 181.42/125.30 | From (1833) and (303) follows: % 181.42/125.30 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.42/125.30 | (261) all_135_0_89 = 0 % 181.42/125.30 | % 181.42/125.30 | Equations (261) can reduce 230 to: % 181.42/125.30 | (173) $false % 181.42/125.30 | % 181.42/125.30 |-The branch is then unsatisfiable % 181.42/125.30 |-Branch two: % 181.42/125.30 | (5161) all_464_0_645 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (5161) yields: % 181.42/125.30 | (5155) all_464_0_645 = 0 % 181.42/125.30 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.42/125.30 | (1840) all_205_2_109 = all_0_9_9 % 181.42/125.30 | % 181.42/125.30 | From (1840) and (315) follows: % 181.42/125.30 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.30 | (212) all_85_0_75 = 0 % 181.42/125.30 | % 181.42/125.30 | Equations (212) can reduce 181 to: % 181.42/125.30 | (173) $false % 181.42/125.30 | % 181.42/125.30 |-The branch is then unsatisfiable % 181.42/125.30 |-Branch two: % 181.42/125.30 | (5168) all_445_0_644 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (5168) yields: % 181.42/125.30 | (5150) all_445_0_644 = 0 % 181.42/125.30 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.42/125.30 | (412) all_135_1_90 = all_0_9_9 % 181.42/125.30 | % 181.42/125.30 | From (412) and (241) follows: % 181.42/125.30 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.30 | (212) all_85_0_75 = 0 % 181.42/125.30 | % 181.42/125.30 | Equations (212) can reduce 181 to: % 181.42/125.30 | (173) $false % 181.42/125.30 | % 181.42/125.30 |-The branch is then unsatisfiable % 181.42/125.30 |-Branch two: % 181.42/125.30 | (4945) all_410_0_618 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (4945) yields: % 181.42/125.30 | (4939) all_410_0_618 = 0 % 181.42/125.30 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.42/125.30 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.42/125.30 | % 181.42/125.30 | Instantiating (400) with all_453_0_647 yields: % 181.42/125.30 | (5179) (all_453_0_647 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_647 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.42/125.30 | % 181.42/125.30 +-Applying beta-rule and splitting (5131), into two cases. % 181.42/125.30 |-Branch one: % 181.42/125.30 | (5149) all_445_0_644 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (5149) yields: % 181.42/125.30 | (5150) all_445_0_644 = 0 % 181.42/125.30 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.42/125.30 | (405) all_135_1_90 = all_0_6_6 % 181.42/125.30 | % 181.42/125.30 | From (405) and (231) follows: % 181.42/125.30 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 181.42/125.30 | % 181.42/125.30 +-Applying beta-rule and splitting (5179), into two cases. % 181.42/125.30 |-Branch one: % 181.42/125.30 | (5185) all_453_0_647 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (5185) yields: % 181.42/125.30 | (5186) all_453_0_647 = 0 % 181.42/125.30 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.42/125.30 | (417) all_181_1_103 = all_0_6_6 % 181.42/125.30 | % 181.42/125.30 | From (417) and (260) follows: % 181.42/125.30 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.42/125.30 | (261) all_135_0_89 = 0 % 181.42/125.30 | % 181.42/125.30 | Equations (261) can reduce 230 to: % 181.42/125.30 | (173) $false % 181.42/125.30 | % 181.42/125.30 |-The branch is then unsatisfiable % 181.42/125.30 |-Branch two: % 181.42/125.30 | (5192) all_453_0_647 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.30 | % 181.42/125.30 | Applying alpha-rule on (5192) yields: % 181.42/125.30 | (5186) all_453_0_647 = 0 % 181.42/125.30 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.42/125.30 | (424) all_181_1_103 = all_0_9_9 % 181.42/125.30 | % 181.42/125.30 | From (424) and (297) follows: % 181.42/125.30 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.42/125.30 | % 181.42/125.30 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.42/125.30 | (212) all_85_0_75 = 0 % 181.42/125.30 | % 181.42/125.30 | Equations (212) can reduce 181 to: % 181.42/125.30 | (173) $false % 181.42/125.30 | % 181.42/125.30 |-The branch is then unsatisfiable % 181.42/125.30 |-Branch two: % 181.82/125.31 | (5168) all_445_0_644 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.82/125.31 | % 181.82/125.31 | Applying alpha-rule on (5168) yields: % 181.82/125.31 | (5150) all_445_0_644 = 0 % 181.82/125.31 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.82/125.31 | % 181.82/125.31 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.82/125.31 | (412) all_135_1_90 = all_0_9_9 % 181.82/125.31 | % 181.82/125.31 | From (412) and (241) follows: % 181.82/125.31 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.82/125.31 | % 181.82/125.31 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.82/125.31 | (212) all_85_0_75 = 0 % 181.82/125.31 | % 181.82/125.31 | Equations (212) can reduce 181 to: % 181.82/125.31 | (173) $false % 181.82/125.31 | % 181.82/125.31 |-The branch is then unsatisfiable % 181.82/125.31 |-Branch two: % 181.82/125.31 | (4887) all_378_0_606 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 181.82/125.31 | % 181.82/125.31 | Applying alpha-rule on (4887) yields: % 181.82/125.31 | (4785) all_378_0_606 = 0 % 181.82/125.31 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 181.84/125.31 | (1890) all_205_2_109 = all_0_5_5 % 181.84/125.31 | % 181.84/125.31 | From (1890) and (309) follows: % 181.84/125.31 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.84/125.31 | (233) all_110_0_83 = 0 % 181.84/125.31 | % 181.84/125.31 | Equations (233) can reduce 209 to: % 181.84/125.31 | (173) $false % 181.84/125.31 | % 181.84/125.31 |-The branch is then unsatisfiable % 181.84/125.31 |-Branch two: % 181.84/125.31 | (4426) all_359_0_564 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 181.84/125.31 | % 181.84/125.31 | Applying alpha-rule on (4426) yields: % 181.84/125.31 | (4312) all_359_0_564 = 0 % 181.84/125.31 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 181.84/125.31 | (474) all_181_1_103 = all_0_5_5 % 181.84/125.31 | % 181.84/125.31 | From (474) and (269) follows: % 181.84/125.31 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.84/125.31 | (233) all_110_0_83 = 0 % 181.84/125.31 | % 181.84/125.31 | Equations (233) can reduce 209 to: % 181.84/125.31 | (173) $false % 181.84/125.31 | % 181.84/125.31 |-The branch is then unsatisfiable % 181.84/125.31 |-Branch two: % 181.84/125.31 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 181.84/125.31 | % 181.84/125.31 | Applying alpha-rule on (586) yields: % 181.84/125.31 | (352) all_340_0_133 = 0 % 181.84/125.31 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 181.84/125.31 | (589) all_135_1_90 = all_0_5_5 % 181.84/125.31 | % 181.84/125.31 | From (589) and (232) follows: % 181.84/125.31 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.84/125.31 | (233) all_110_0_83 = 0 % 181.84/125.31 | % 181.84/125.31 | Equations (233) can reduce 209 to: % 181.84/125.31 | (173) $false % 181.84/125.31 | % 181.84/125.31 |-The branch is then unsatisfiable % 181.84/125.31 |-Branch two: % 181.84/125.31 | (2952) all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 181.84/125.31 | % 181.84/125.31 | Applying alpha-rule on (2952) yields: % 181.84/125.31 | (1650) all_318_0_130 = 0 % 181.84/125.31 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 181.84/125.31 | (2955) all_205_2_109 = all_0_8_8 % 181.84/125.31 | % 181.84/125.31 | From (2955) and (275) follows: % 181.84/125.31 | (2956) mem(all_0_8_8, all_165_1_98) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (58) with all_0_8_8, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_8_8, all_165_1_98) = all_226_0_114, mem(all_0_8_8, all_165_1_98) = 0, yields: % 181.84/125.31 | (2957) all_226_0_114 = 0 % 181.84/125.31 | % 181.84/125.31 | Equations (2957) can reduce 285 to: % 181.84/125.31 | (173) $false % 181.84/125.31 | % 181.84/125.31 |-The branch is then unsatisfiable % 181.84/125.31 |-Branch two: % 181.84/125.31 | (2959) all_292_0_126 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 181.84/125.31 | % 181.84/125.31 | Applying alpha-rule on (2959) yields: % 181.84/125.31 | (337) all_292_0_126 = 0 % 181.84/125.31 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 181.84/125.31 | (2962) all_181_1_103 = all_0_8_8 % 181.84/125.31 | % 181.84/125.31 | From (2962) and (259) follows: % 181.84/125.31 | (2963) mem(all_0_8_8, all_129_1_88) = all_181_0_102 % 181.84/125.31 | % 181.84/125.31 +-Applying beta-rule and splitting (318), into two cases. % 181.84/125.31 |-Branch one: % 181.84/125.31 | (341) all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 181.84/125.31 | % 181.84/125.31 | Applying alpha-rule on (341) yields: % 181.84/125.31 | (342) all_311_0_129 = 0 % 181.84/125.31 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 181.84/125.31 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 181.84/125.31 | % 181.84/125.31 | Instantiating (344) with all_370_0_661 yields: % 181.84/125.31 | (5243) (all_370_0_661 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_370_0_661 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 181.84/125.31 | % 181.84/125.31 +-Applying beta-rule and splitting (320), into two cases. % 181.84/125.31 |-Branch one: % 181.84/125.31 | (1649) all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 181.84/125.31 | % 181.84/125.31 | Applying alpha-rule on (1649) yields: % 181.84/125.31 | (1650) all_318_0_130 = 0 % 181.84/125.31 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 181.84/125.31 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 181.84/125.31 | % 181.84/125.31 | Instantiating (1652) with all_378_0_662 yields: % 181.84/125.31 | (5248) (all_378_0_662 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_378_0_662 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 181.84/125.31 | % 181.84/125.31 +-Applying beta-rule and splitting (325), into two cases. % 181.84/125.31 |-Branch one: % 181.84/125.31 | (346) all_332_0_132 = 0 & mem(all_85_1_76, all_72_0_70) = 0 % 181.84/125.31 | % 181.84/125.31 | Applying alpha-rule on (346) yields: % 181.84/125.31 | (347) all_332_0_132 = 0 % 181.84/125.31 | (348) mem(all_85_1_76, all_72_0_70) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_85_1_76, all_72_0_70) = 0, yields: % 181.84/125.31 | (349) all_85_1_76 = all_0_3_3 % 181.84/125.31 | % 181.84/125.31 | From (349) and (182) follows: % 181.84/125.31 | (350) mem(all_0_3_3, all_57_1_65) = all_85_0_75 % 181.84/125.31 | % 181.84/125.31 +-Applying beta-rule and splitting (330), into two cases. % 181.84/125.31 |-Branch one: % 181.84/125.31 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 181.84/125.31 | % 181.84/125.31 | Applying alpha-rule on (351) yields: % 181.84/125.31 | (352) all_340_0_133 = 0 % 181.84/125.31 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 181.84/125.31 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 181.84/125.31 | % 181.84/125.31 | Instantiating (354) with all_405_0_664 yields: % 181.84/125.31 | (5258) (all_405_0_664 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_405_0_664 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 181.84/125.31 | % 181.84/125.31 +-Applying beta-rule and splitting (5243), into two cases. % 181.84/125.31 |-Branch one: % 181.84/125.31 | (5259) all_370_0_661 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 181.84/125.31 | % 181.84/125.31 | Applying alpha-rule on (5259) yields: % 181.84/125.31 | (5260) all_370_0_661 = 0 % 181.84/125.31 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 181.84/125.31 | % 181.84/125.31 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 181.84/125.31 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 181.84/125.31 | % 181.84/125.31 | Instantiating (479) with all_413_0_665 yields: % 181.84/125.31 | (5263) (all_413_0_665 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_413_0_665 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 181.84/125.31 | % 181.84/125.31 +-Applying beta-rule and splitting (5248), into two cases. % 181.84/125.31 |-Branch one: % 181.84/125.32 | (5264) all_378_0_662 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 181.84/125.32 | % 181.84/125.32 | Applying alpha-rule on (5264) yields: % 181.84/125.32 | (5265) all_378_0_662 = 0 % 181.84/125.32 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 181.84/125.32 | % 181.84/125.32 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 181.84/125.32 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 181.84/125.32 | % 181.84/125.32 | Instantiating (1787) with all_421_0_666 yields: % 181.84/125.32 | (5268) (all_421_0_666 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_666 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 181.84/125.32 | % 181.84/125.32 +-Applying beta-rule and splitting (5258), into two cases. % 181.84/125.32 |-Branch one: % 181.88/125.32 | (5269) all_405_0_664 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5269) yields: % 181.88/125.32 | (5270) all_405_0_664 = 0 % 181.88/125.32 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.88/125.32 | (376) all_135_1_90 = all_0_3_3 % 181.88/125.32 | % 181.88/125.32 | From (376) and (241) follows: % 181.88/125.32 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.88/125.32 | (212) all_85_0_75 = 0 % 181.88/125.32 | % 181.88/125.32 | Equations (212) can reduce 181 to: % 181.88/125.32 | (173) $false % 181.88/125.32 | % 181.88/125.32 |-The branch is then unsatisfiable % 181.88/125.32 |-Branch two: % 181.88/125.32 | (5276) all_405_0_664 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5276) yields: % 181.88/125.32 | (5270) all_405_0_664 = 0 % 181.88/125.32 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.88/125.32 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.88/125.32 | % 181.88/125.32 | Instantiating (383) with all_437_0_668 yields: % 181.88/125.32 | (5280) (all_437_0_668 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_437_0_668 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.88/125.32 | % 181.88/125.32 +-Applying beta-rule and splitting (5263), into two cases. % 181.88/125.32 |-Branch one: % 181.88/125.32 | (5281) all_413_0_665 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5281) yields: % 181.88/125.32 | (5282) all_413_0_665 = 0 % 181.88/125.32 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.88/125.32 | (501) all_226_1_115 = all_0_3_3 % 181.88/125.32 | % 181.88/125.32 | From (501) and (308) follows: % 181.88/125.32 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.88/125.32 | (212) all_85_0_75 = 0 % 181.88/125.32 | % 181.88/125.32 | Equations (212) can reduce 181 to: % 181.88/125.32 | (173) $false % 181.88/125.32 | % 181.88/125.32 |-The branch is then unsatisfiable % 181.88/125.32 |-Branch two: % 181.88/125.32 | (5288) all_413_0_665 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5288) yields: % 181.88/125.32 | (5282) all_413_0_665 = 0 % 181.88/125.32 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.88/125.32 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.88/125.32 | % 181.88/125.32 | Instantiating (508) with all_445_0_669 yields: % 181.88/125.32 | (5292) (all_445_0_669 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_669 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.88/125.32 | % 181.88/125.32 +-Applying beta-rule and splitting (5268), into two cases. % 181.88/125.32 |-Branch one: % 181.88/125.32 | (5293) all_421_0_666 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5293) yields: % 181.88/125.32 | (5294) all_421_0_666 = 0 % 181.88/125.32 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.88/125.32 | (1809) all_205_2_109 = all_0_3_3 % 181.88/125.32 | % 181.88/125.32 | From (1809) and (315) follows: % 181.88/125.32 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.88/125.32 | (212) all_85_0_75 = 0 % 181.88/125.32 | % 181.88/125.32 | Equations (212) can reduce 181 to: % 181.88/125.32 | (173) $false % 181.88/125.32 | % 181.88/125.32 |-The branch is then unsatisfiable % 181.88/125.32 |-Branch two: % 181.88/125.32 | (5300) all_421_0_666 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5300) yields: % 181.88/125.32 | (5294) all_421_0_666 = 0 % 181.88/125.32 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.88/125.32 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.88/125.32 | % 181.88/125.32 | Instantiating (1816) with all_453_0_670 yields: % 181.88/125.32 | (5304) (all_453_0_670 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_670 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.88/125.32 | % 181.88/125.32 +-Applying beta-rule and splitting (5280), into two cases. % 181.88/125.32 |-Branch one: % 181.88/125.32 | (5305) all_437_0_668 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5305) yields: % 181.88/125.32 | (5306) all_437_0_668 = 0 % 181.88/125.32 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.88/125.32 | (405) all_135_1_90 = all_0_6_6 % 181.88/125.32 | % 181.88/125.32 | From (405) and (231) follows: % 181.88/125.32 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 181.88/125.32 | % 181.88/125.32 +-Applying beta-rule and splitting (5292), into two cases. % 181.88/125.32 |-Branch one: % 181.88/125.32 | (5310) all_445_0_669 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5310) yields: % 181.88/125.32 | (5311) all_445_0_669 = 0 % 181.88/125.32 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.88/125.32 | (525) all_226_1_115 = all_0_6_6 % 181.88/125.32 | % 181.88/125.32 | From (525) and (295) follows: % 181.88/125.32 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.88/125.32 | (261) all_135_0_89 = 0 % 181.88/125.32 | % 181.88/125.32 | Equations (261) can reduce 230 to: % 181.88/125.32 | (173) $false % 181.88/125.32 | % 181.88/125.32 |-The branch is then unsatisfiable % 181.88/125.32 |-Branch two: % 181.88/125.32 | (5317) all_445_0_669 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5317) yields: % 181.88/125.32 | (5311) all_445_0_669 = 0 % 181.88/125.32 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.88/125.32 | (532) all_226_1_115 = all_0_9_9 % 181.88/125.32 | % 181.88/125.32 | From (532) and (286) follows: % 181.88/125.32 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 181.88/125.32 | % 181.88/125.32 +-Applying beta-rule and splitting (5304), into two cases. % 181.88/125.32 |-Branch one: % 181.88/125.32 | (5322) all_453_0_670 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.32 | % 181.88/125.32 | Applying alpha-rule on (5322) yields: % 181.88/125.32 | (5323) all_453_0_670 = 0 % 181.88/125.32 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.88/125.32 | (1833) all_205_2_109 = all_0_6_6 % 181.88/125.32 | % 181.88/125.32 | From (1833) and (303) follows: % 181.88/125.32 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.88/125.32 | % 181.88/125.32 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.88/125.32 | (261) all_135_0_89 = 0 % 181.88/125.32 | % 181.88/125.32 | Equations (261) can reduce 230 to: % 181.88/125.32 | (173) $false % 181.88/125.32 | % 181.88/125.32 |-The branch is then unsatisfiable % 181.88/125.32 |-Branch two: % 181.88/125.32 | (5329) all_453_0_670 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.32 | % 181.88/125.33 | Applying alpha-rule on (5329) yields: % 181.88/125.33 | (5323) all_453_0_670 = 0 % 181.88/125.33 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.88/125.33 | (1840) all_205_2_109 = all_0_9_9 % 181.88/125.33 | % 181.88/125.33 | From (1840) and (275) follows: % 181.88/125.33 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 181.88/125.33 | (2957) all_226_0_114 = 0 % 181.88/125.33 | % 181.88/125.33 | Equations (2957) can reduce 285 to: % 181.88/125.33 | (173) $false % 181.88/125.33 | % 181.88/125.33 |-The branch is then unsatisfiable % 181.88/125.33 |-Branch two: % 181.88/125.33 | (5336) all_437_0_668 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.33 | % 181.88/125.33 | Applying alpha-rule on (5336) yields: % 181.88/125.33 | (5306) all_437_0_668 = 0 % 181.88/125.33 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.88/125.33 | (412) all_135_1_90 = all_0_9_9 % 181.88/125.33 | % 181.88/125.33 | From (412) and (231) follows: % 181.88/125.33 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 181.88/125.33 | % 181.88/125.33 +-Applying beta-rule and splitting (5292), into two cases. % 181.88/125.33 |-Branch one: % 181.88/125.33 | (5310) all_445_0_669 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.33 | % 181.88/125.33 | Applying alpha-rule on (5310) yields: % 181.88/125.33 | (5311) all_445_0_669 = 0 % 181.88/125.33 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.88/125.33 | (525) all_226_1_115 = all_0_6_6 % 181.88/125.33 | % 181.88/125.33 | From (525) and (286) follows: % 181.88/125.33 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 181.88/125.33 | % 181.88/125.33 +-Applying beta-rule and splitting (5304), into two cases. % 181.88/125.33 |-Branch one: % 181.88/125.33 | (5322) all_453_0_670 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.33 | % 181.88/125.33 | Applying alpha-rule on (5322) yields: % 181.88/125.33 | (5323) all_453_0_670 = 0 % 181.88/125.33 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.88/125.33 | (1833) all_205_2_109 = all_0_6_6 % 181.88/125.33 | % 181.88/125.33 | From (1833) and (275) follows: % 181.88/125.33 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 181.88/125.33 | (2957) all_226_0_114 = 0 % 181.88/125.33 | % 181.88/125.33 | Equations (2957) can reduce 285 to: % 181.88/125.33 | (173) $false % 181.88/125.33 | % 181.88/125.33 |-The branch is then unsatisfiable % 181.88/125.33 |-Branch two: % 181.88/125.33 | (5329) all_453_0_670 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.33 | % 181.88/125.33 | Applying alpha-rule on (5329) yields: % 181.88/125.33 | (5323) all_453_0_670 = 0 % 181.88/125.33 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.88/125.33 | (1840) all_205_2_109 = all_0_9_9 % 181.88/125.33 | % 181.88/125.33 | From (1840) and (303) follows: % 181.88/125.33 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.88/125.33 | (261) all_135_0_89 = 0 % 181.88/125.33 | % 181.88/125.33 | Equations (261) can reduce 230 to: % 181.88/125.33 | (173) $false % 181.88/125.33 | % 181.88/125.33 |-The branch is then unsatisfiable % 181.88/125.33 |-Branch two: % 181.88/125.33 | (5317) all_445_0_669 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.33 | % 181.88/125.33 | Applying alpha-rule on (5317) yields: % 181.88/125.33 | (5311) all_445_0_669 = 0 % 181.88/125.33 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.88/125.33 | (532) all_226_1_115 = all_0_9_9 % 181.88/125.33 | % 181.88/125.33 | From (532) and (295) follows: % 181.88/125.33 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.88/125.33 | (261) all_135_0_89 = 0 % 181.88/125.33 | % 181.88/125.33 | Equations (261) can reduce 230 to: % 181.88/125.33 | (173) $false % 181.88/125.33 | % 181.88/125.33 |-The branch is then unsatisfiable % 181.88/125.33 |-Branch two: % 181.88/125.33 | (5367) all_378_0_662 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 181.88/125.33 | % 181.88/125.33 | Applying alpha-rule on (5367) yields: % 181.88/125.33 | (5265) all_378_0_662 = 0 % 181.88/125.33 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 181.88/125.33 | (1890) all_205_2_109 = all_0_5_5 % 181.88/125.33 | % 181.88/125.33 | From (1890) and (309) follows: % 181.88/125.33 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.88/125.33 | (233) all_110_0_83 = 0 % 181.88/125.33 | % 181.88/125.33 | Equations (233) can reduce 209 to: % 181.88/125.33 | (173) $false % 181.88/125.33 | % 181.88/125.33 |-The branch is then unsatisfiable % 181.88/125.33 |-Branch two: % 181.88/125.33 | (5374) all_370_0_661 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 181.88/125.33 | % 181.88/125.33 | Applying alpha-rule on (5374) yields: % 181.88/125.33 | (5260) all_370_0_661 = 0 % 181.88/125.33 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 181.88/125.33 | (582) all_226_1_115 = all_0_5_5 % 181.88/125.33 | % 181.88/125.33 | From (582) and (302) follows: % 181.88/125.33 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.88/125.33 | (233) all_110_0_83 = 0 % 181.88/125.33 | % 181.88/125.33 | Equations (233) can reduce 209 to: % 181.88/125.33 | (173) $false % 181.88/125.33 | % 181.88/125.33 |-The branch is then unsatisfiable % 181.88/125.33 |-Branch two: % 181.88/125.33 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 181.88/125.33 | % 181.88/125.33 | Applying alpha-rule on (586) yields: % 181.88/125.33 | (352) all_340_0_133 = 0 % 181.88/125.33 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 181.88/125.33 | (589) all_135_1_90 = all_0_5_5 % 181.88/125.33 | % 181.88/125.33 | From (589) and (232) follows: % 181.88/125.33 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.88/125.33 | % 181.88/125.33 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.88/125.34 | (233) all_110_0_83 = 0 % 181.88/125.34 | % 181.88/125.34 | Equations (233) can reduce 209 to: % 181.88/125.34 | (173) $false % 181.88/125.34 | % 181.88/125.34 |-The branch is then unsatisfiable % 181.88/125.34 |-Branch two: % 181.88/125.34 | (737) all_332_0_132 = 0 & mem(all_85_1_76, all_0_3_3) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (737) yields: % 181.88/125.34 | (347) all_332_0_132 = 0 % 181.88/125.34 | (739) mem(all_85_1_76, all_0_3_3) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_85_1_76, all_0_3_3) = 0, yields: % 181.88/125.34 | (740) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_6_6) = 0)) % 181.88/125.34 | % 181.88/125.34 | Instantiating (740) with all_394_0_672 yields: % 181.88/125.34 | (5392) (all_394_0_672 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (all_394_0_672 = 0 & mem(all_85_1_76, all_0_6_6) = 0) % 181.88/125.34 | % 181.88/125.34 +-Applying beta-rule and splitting (330), into two cases. % 181.88/125.34 |-Branch one: % 181.88/125.34 | (351) all_340_0_133 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (351) yields: % 181.88/125.34 | (352) all_340_0_133 = 0 % 181.88/125.34 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 181.88/125.34 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 181.88/125.34 | % 181.88/125.34 | Instantiating (354) with all_402_0_673 yields: % 181.88/125.34 | (5397) (all_402_0_673 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_402_0_673 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 181.88/125.34 | % 181.88/125.34 +-Applying beta-rule and splitting (5243), into two cases. % 181.88/125.34 |-Branch one: % 181.88/125.34 | (5259) all_370_0_661 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5259) yields: % 181.88/125.34 | (5260) all_370_0_661 = 0 % 181.88/125.34 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 181.88/125.34 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 181.88/125.34 | % 181.88/125.34 | Instantiating (479) with all_410_0_674 yields: % 181.88/125.34 | (5402) (all_410_0_674 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_674 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 181.88/125.34 | % 181.88/125.34 +-Applying beta-rule and splitting (5248), into two cases. % 181.88/125.34 |-Branch one: % 181.88/125.34 | (5264) all_378_0_662 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5264) yields: % 181.88/125.34 | (5265) all_378_0_662 = 0 % 181.88/125.34 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 181.88/125.34 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 181.88/125.34 | % 181.88/125.34 | Instantiating (1787) with all_418_0_675 yields: % 181.88/125.34 | (5407) (all_418_0_675 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_675 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 181.88/125.34 | % 181.88/125.34 +-Applying beta-rule and splitting (5392), into two cases. % 181.88/125.34 |-Branch one: % 181.88/125.34 | (5408) all_394_0_672 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5408) yields: % 181.88/125.34 | (5409) all_394_0_672 = 0 % 181.88/125.34 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 181.88/125.34 | (760) all_85_1_76 = all_0_6_6 % 181.88/125.34 | % 181.88/125.34 | From (760) and (182) follows: % 181.88/125.34 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 181.88/125.34 | % 181.88/125.34 +-Applying beta-rule and splitting (5397), into two cases. % 181.88/125.34 |-Branch one: % 181.88/125.34 | (5413) all_402_0_673 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5413) yields: % 181.88/125.34 | (5414) all_402_0_673 = 0 % 181.88/125.34 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.88/125.34 | (376) all_135_1_90 = all_0_3_3 % 181.88/125.34 | % 181.88/125.34 | From (376) and (231) follows: % 181.88/125.34 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 181.88/125.34 | % 181.88/125.34 +-Applying beta-rule and splitting (5402), into two cases. % 181.88/125.34 |-Branch one: % 181.88/125.34 | (5418) all_410_0_674 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5418) yields: % 181.88/125.34 | (5419) all_410_0_674 = 0 % 181.88/125.34 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.88/125.34 | (501) all_226_1_115 = all_0_3_3 % 181.88/125.34 | % 181.88/125.34 | From (501) and (295) follows: % 181.88/125.34 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.88/125.34 | (261) all_135_0_89 = 0 % 181.88/125.34 | % 181.88/125.34 | Equations (261) can reduce 230 to: % 181.88/125.34 | (173) $false % 181.88/125.34 | % 181.88/125.34 |-The branch is then unsatisfiable % 181.88/125.34 |-Branch two: % 181.88/125.34 | (5425) all_410_0_674 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5425) yields: % 181.88/125.34 | (5419) all_410_0_674 = 0 % 181.88/125.34 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.88/125.34 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.88/125.34 | % 181.88/125.34 | Instantiating (508) with all_456_0_677 yields: % 181.88/125.34 | (5429) (all_456_0_677 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_677 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.88/125.34 | % 181.88/125.34 +-Applying beta-rule and splitting (5407), into two cases. % 181.88/125.34 |-Branch one: % 181.88/125.34 | (5430) all_418_0_675 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5430) yields: % 181.88/125.34 | (5431) all_418_0_675 = 0 % 181.88/125.34 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.88/125.34 | (1809) all_205_2_109 = all_0_3_3 % 181.88/125.34 | % 181.88/125.34 | From (1809) and (303) follows: % 181.88/125.34 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.88/125.34 | (261) all_135_0_89 = 0 % 181.88/125.34 | % 181.88/125.34 | Equations (261) can reduce 230 to: % 181.88/125.34 | (173) $false % 181.88/125.34 | % 181.88/125.34 |-The branch is then unsatisfiable % 181.88/125.34 |-Branch two: % 181.88/125.34 | (5437) all_418_0_675 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5437) yields: % 181.88/125.34 | (5431) all_418_0_675 = 0 % 181.88/125.34 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.88/125.34 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.88/125.34 | % 181.88/125.34 | Instantiating (1816) with all_464_0_678 yields: % 181.88/125.34 | (5441) (all_464_0_678 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_678 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.88/125.34 | % 181.88/125.34 +-Applying beta-rule and splitting (5429), into two cases. % 181.88/125.34 |-Branch one: % 181.88/125.34 | (5442) all_456_0_677 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5442) yields: % 181.88/125.34 | (5443) all_456_0_677 = 0 % 181.88/125.34 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.88/125.34 | (525) all_226_1_115 = all_0_6_6 % 181.88/125.34 | % 181.88/125.34 | From (525) and (308) follows: % 181.88/125.34 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.88/125.34 | % 181.88/125.34 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.88/125.34 | (212) all_85_0_75 = 0 % 181.88/125.34 | % 181.88/125.34 | Equations (212) can reduce 181 to: % 181.88/125.34 | (173) $false % 181.88/125.34 | % 181.88/125.34 |-The branch is then unsatisfiable % 181.88/125.34 |-Branch two: % 181.88/125.34 | (5449) all_456_0_677 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.34 | % 181.88/125.34 | Applying alpha-rule on (5449) yields: % 181.88/125.35 | (5443) all_456_0_677 = 0 % 181.88/125.35 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.88/125.35 | (532) all_226_1_115 = all_0_9_9 % 181.88/125.35 | % 181.88/125.35 | From (532) and (286) follows: % 181.88/125.35 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 181.88/125.35 | % 181.88/125.35 +-Applying beta-rule and splitting (5441), into two cases. % 181.88/125.35 |-Branch one: % 181.88/125.35 | (5454) all_464_0_678 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.35 | % 181.88/125.35 | Applying alpha-rule on (5454) yields: % 181.88/125.35 | (5455) all_464_0_678 = 0 % 181.88/125.35 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.88/125.35 | (1833) all_205_2_109 = all_0_6_6 % 181.88/125.35 | % 181.88/125.35 | From (1833) and (315) follows: % 181.88/125.35 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.88/125.35 | (212) all_85_0_75 = 0 % 181.88/125.35 | % 181.88/125.35 | Equations (212) can reduce 181 to: % 181.88/125.35 | (173) $false % 181.88/125.35 | % 181.88/125.35 |-The branch is then unsatisfiable % 181.88/125.35 |-Branch two: % 181.88/125.35 | (5461) all_464_0_678 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.35 | % 181.88/125.35 | Applying alpha-rule on (5461) yields: % 181.88/125.35 | (5455) all_464_0_678 = 0 % 181.88/125.35 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.88/125.35 | (1840) all_205_2_109 = all_0_9_9 % 181.88/125.35 | % 181.88/125.35 | From (1840) and (275) follows: % 181.88/125.35 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 181.88/125.35 | (2957) all_226_0_114 = 0 % 181.88/125.35 | % 181.88/125.35 | Equations (2957) can reduce 285 to: % 181.88/125.35 | (173) $false % 181.88/125.35 | % 181.88/125.35 |-The branch is then unsatisfiable % 181.88/125.35 |-Branch two: % 181.88/125.35 | (5468) all_402_0_673 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.88/125.35 | % 181.88/125.35 | Applying alpha-rule on (5468) yields: % 181.88/125.35 | (5414) all_402_0_673 = 0 % 181.88/125.35 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.88/125.35 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.88/125.35 | % 181.88/125.35 | Instantiating (383) with all_445_0_680 yields: % 181.88/125.35 | (5472) (all_445_0_680 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_680 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.88/125.35 | % 181.88/125.35 +-Applying beta-rule and splitting (5402), into two cases. % 181.88/125.35 |-Branch one: % 181.88/125.35 | (5418) all_410_0_674 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.35 | % 181.88/125.35 | Applying alpha-rule on (5418) yields: % 181.88/125.35 | (5419) all_410_0_674 = 0 % 181.88/125.35 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.88/125.35 | (501) all_226_1_115 = all_0_3_3 % 181.88/125.35 | % 181.88/125.35 | From (501) and (286) follows: % 181.88/125.35 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 181.88/125.35 | % 181.88/125.35 +-Applying beta-rule and splitting (5407), into two cases. % 181.88/125.35 |-Branch one: % 181.88/125.35 | (5430) all_418_0_675 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.35 | % 181.88/125.35 | Applying alpha-rule on (5430) yields: % 181.88/125.35 | (5431) all_418_0_675 = 0 % 181.88/125.35 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.88/125.35 | (1809) all_205_2_109 = all_0_3_3 % 181.88/125.35 | % 181.88/125.35 | From (1809) and (275) follows: % 181.88/125.35 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 181.88/125.35 | (2957) all_226_0_114 = 0 % 181.88/125.35 | % 181.88/125.35 | Equations (2957) can reduce 285 to: % 181.88/125.35 | (173) $false % 181.88/125.35 | % 181.88/125.35 |-The branch is then unsatisfiable % 181.88/125.35 |-Branch two: % 181.88/125.35 | (5437) all_418_0_675 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.35 | % 181.88/125.35 | Applying alpha-rule on (5437) yields: % 181.88/125.35 | (5431) all_418_0_675 = 0 % 181.88/125.35 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.88/125.35 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.88/125.35 | % 181.88/125.35 | Instantiating (1816) with all_464_0_681 yields: % 181.88/125.35 | (5489) (all_464_0_681 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_681 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.88/125.35 | % 181.88/125.35 +-Applying beta-rule and splitting (5472), into two cases. % 181.88/125.35 |-Branch one: % 181.88/125.35 | (5490) all_445_0_680 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.35 | % 181.88/125.35 | Applying alpha-rule on (5490) yields: % 181.88/125.35 | (5491) all_445_0_680 = 0 % 181.88/125.35 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.88/125.35 | (405) all_135_1_90 = all_0_6_6 % 181.88/125.35 | % 181.88/125.35 | From (405) and (241) follows: % 181.88/125.35 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.88/125.35 | (212) all_85_0_75 = 0 % 181.88/125.35 | % 181.88/125.35 | Equations (212) can reduce 181 to: % 181.88/125.35 | (173) $false % 181.88/125.35 | % 181.88/125.35 |-The branch is then unsatisfiable % 181.88/125.35 |-Branch two: % 181.88/125.35 | (5497) all_445_0_680 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.35 | % 181.88/125.35 | Applying alpha-rule on (5497) yields: % 181.88/125.35 | (5491) all_445_0_680 = 0 % 181.88/125.35 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.88/125.35 | (412) all_135_1_90 = all_0_9_9 % 181.88/125.35 | % 181.88/125.35 | From (412) and (231) follows: % 181.88/125.35 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 181.88/125.35 | % 181.88/125.35 +-Applying beta-rule and splitting (5489), into two cases. % 181.88/125.35 |-Branch one: % 181.88/125.35 | (5502) all_464_0_681 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.35 | % 181.88/125.35 | Applying alpha-rule on (5502) yields: % 181.88/125.35 | (5503) all_464_0_681 = 0 % 181.88/125.35 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.88/125.35 | (1833) all_205_2_109 = all_0_6_6 % 181.88/125.35 | % 181.88/125.35 | From (1833) and (315) follows: % 181.88/125.35 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.88/125.35 | % 181.88/125.35 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.88/125.35 | (212) all_85_0_75 = 0 % 181.88/125.35 | % 181.88/125.35 | Equations (212) can reduce 181 to: % 181.88/125.35 | (173) $false % 181.88/125.35 | % 181.88/125.35 |-The branch is then unsatisfiable % 181.88/125.35 |-Branch two: % 181.88/125.35 | (5509) all_464_0_681 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5509) yields: % 181.88/125.36 | (5503) all_464_0_681 = 0 % 181.88/125.36 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.88/125.36 | (1840) all_205_2_109 = all_0_9_9 % 181.88/125.36 | % 181.88/125.36 | From (1840) and (303) follows: % 181.88/125.36 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.88/125.36 | (261) all_135_0_89 = 0 % 181.88/125.36 | % 181.88/125.36 | Equations (261) can reduce 230 to: % 181.88/125.36 | (173) $false % 181.88/125.36 | % 181.88/125.36 |-The branch is then unsatisfiable % 181.88/125.36 |-Branch two: % 181.88/125.36 | (5425) all_410_0_674 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5425) yields: % 181.88/125.36 | (5419) all_410_0_674 = 0 % 181.88/125.36 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.88/125.36 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.88/125.36 | % 181.88/125.36 | Instantiating (508) with all_453_0_683 yields: % 181.88/125.36 | (5520) (all_453_0_683 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_683 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.88/125.36 | % 181.88/125.36 +-Applying beta-rule and splitting (5472), into two cases. % 181.88/125.36 |-Branch one: % 181.88/125.36 | (5490) all_445_0_680 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5490) yields: % 181.88/125.36 | (5491) all_445_0_680 = 0 % 181.88/125.36 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.88/125.36 | (405) all_135_1_90 = all_0_6_6 % 181.88/125.36 | % 181.88/125.36 | From (405) and (241) follows: % 181.88/125.36 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.88/125.36 | (212) all_85_0_75 = 0 % 181.88/125.36 | % 181.88/125.36 | Equations (212) can reduce 181 to: % 181.88/125.36 | (173) $false % 181.88/125.36 | % 181.88/125.36 |-The branch is then unsatisfiable % 181.88/125.36 |-Branch two: % 181.88/125.36 | (5497) all_445_0_680 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5497) yields: % 181.88/125.36 | (5491) all_445_0_680 = 0 % 181.88/125.36 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.88/125.36 | (412) all_135_1_90 = all_0_9_9 % 181.88/125.36 | % 181.88/125.36 | From (412) and (231) follows: % 181.88/125.36 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 181.88/125.36 | % 181.88/125.36 +-Applying beta-rule and splitting (5520), into two cases. % 181.88/125.36 |-Branch one: % 181.88/125.36 | (5533) all_453_0_683 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5533) yields: % 181.88/125.36 | (5534) all_453_0_683 = 0 % 181.88/125.36 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.88/125.36 | (525) all_226_1_115 = all_0_6_6 % 181.88/125.36 | % 181.88/125.36 | From (525) and (308) follows: % 181.88/125.36 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 181.88/125.36 | (212) all_85_0_75 = 0 % 181.88/125.36 | % 181.88/125.36 | Equations (212) can reduce 181 to: % 181.88/125.36 | (173) $false % 181.88/125.36 | % 181.88/125.36 |-The branch is then unsatisfiable % 181.88/125.36 |-Branch two: % 181.88/125.36 | (5540) all_453_0_683 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5540) yields: % 181.88/125.36 | (5534) all_453_0_683 = 0 % 181.88/125.36 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.88/125.36 | (532) all_226_1_115 = all_0_9_9 % 181.88/125.36 | % 181.88/125.36 | From (532) and (295) follows: % 181.88/125.36 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 181.88/125.36 | (261) all_135_0_89 = 0 % 181.88/125.36 | % 181.88/125.36 | Equations (261) can reduce 230 to: % 181.88/125.36 | (173) $false % 181.88/125.36 | % 181.88/125.36 |-The branch is then unsatisfiable % 181.88/125.36 |-Branch two: % 181.88/125.36 | (5547) all_394_0_672 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5547) yields: % 181.88/125.36 | (5409) all_394_0_672 = 0 % 181.88/125.36 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 181.88/125.36 | (815) all_85_1_76 = all_0_9_9 % 181.88/125.36 | % 181.88/125.36 | From (815) and (182) follows: % 181.88/125.36 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 181.88/125.36 | % 181.88/125.36 +-Applying beta-rule and splitting (5397), into two cases. % 181.88/125.36 |-Branch one: % 181.88/125.36 | (5413) all_402_0_673 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5413) yields: % 181.88/125.36 | (5414) all_402_0_673 = 0 % 181.88/125.36 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 181.88/125.36 | (376) all_135_1_90 = all_0_3_3 % 181.88/125.36 | % 181.88/125.36 | From (376) and (231) follows: % 181.88/125.36 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 181.88/125.36 | % 181.88/125.36 +-Applying beta-rule and splitting (5402), into two cases. % 181.88/125.36 |-Branch one: % 181.88/125.36 | (5418) all_410_0_674 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5418) yields: % 181.88/125.36 | (5419) all_410_0_674 = 0 % 181.88/125.36 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.88/125.36 | (501) all_226_1_115 = all_0_3_3 % 181.88/125.36 | % 181.88/125.36 | From (501) and (295) follows: % 181.88/125.36 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.88/125.36 | (261) all_135_0_89 = 0 % 181.88/125.36 | % 181.88/125.36 | Equations (261) can reduce 230 to: % 181.88/125.36 | (173) $false % 181.88/125.36 | % 181.88/125.36 |-The branch is then unsatisfiable % 181.88/125.36 |-Branch two: % 181.88/125.36 | (5425) all_410_0_674 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5425) yields: % 181.88/125.36 | (5419) all_410_0_674 = 0 % 181.88/125.36 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.88/125.36 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.88/125.36 | % 181.88/125.36 | Instantiating (508) with all_456_0_697 yields: % 181.88/125.36 | (5568) (all_456_0_697 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_697 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.88/125.36 | % 181.88/125.36 +-Applying beta-rule and splitting (5407), into two cases. % 181.88/125.36 |-Branch one: % 181.88/125.36 | (5430) all_418_0_675 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.36 | % 181.88/125.36 | Applying alpha-rule on (5430) yields: % 181.88/125.36 | (5431) all_418_0_675 = 0 % 181.88/125.36 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.36 | % 181.88/125.36 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.88/125.36 | (1809) all_205_2_109 = all_0_3_3 % 181.88/125.36 | % 181.88/125.36 | From (1809) and (303) follows: % 181.88/125.36 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 181.88/125.36 | % 181.88/125.37 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 181.88/125.37 | (261) all_135_0_89 = 0 % 181.88/125.37 | % 181.88/125.37 | Equations (261) can reduce 230 to: % 181.88/125.37 | (173) $false % 181.88/125.37 | % 181.88/125.37 |-The branch is then unsatisfiable % 181.88/125.37 |-Branch two: % 181.88/125.37 | (5437) all_418_0_675 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5437) yields: % 181.88/125.37 | (5431) all_418_0_675 = 0 % 181.88/125.37 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.88/125.37 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.88/125.37 | % 181.88/125.37 | Instantiating (1816) with all_464_0_698 yields: % 181.88/125.37 | (5580) (all_464_0_698 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_698 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.88/125.37 | % 181.88/125.37 +-Applying beta-rule and splitting (5568), into two cases. % 181.88/125.37 |-Branch one: % 181.88/125.37 | (5581) all_456_0_697 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5581) yields: % 181.88/125.37 | (5582) all_456_0_697 = 0 % 181.88/125.37 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.88/125.37 | (525) all_226_1_115 = all_0_6_6 % 181.88/125.37 | % 181.88/125.37 | From (525) and (286) follows: % 181.88/125.37 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 181.88/125.37 | % 181.88/125.37 +-Applying beta-rule and splitting (5580), into two cases. % 181.88/125.37 |-Branch one: % 181.88/125.37 | (5586) all_464_0_698 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5586) yields: % 181.88/125.37 | (5587) all_464_0_698 = 0 % 181.88/125.37 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.88/125.37 | (1833) all_205_2_109 = all_0_6_6 % 181.88/125.37 | % 181.88/125.37 | From (1833) and (275) follows: % 181.88/125.37 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 181.88/125.37 | (2957) all_226_0_114 = 0 % 181.88/125.37 | % 181.88/125.37 | Equations (2957) can reduce 285 to: % 181.88/125.37 | (173) $false % 181.88/125.37 | % 181.88/125.37 |-The branch is then unsatisfiable % 181.88/125.37 |-Branch two: % 181.88/125.37 | (5593) all_464_0_698 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5593) yields: % 181.88/125.37 | (5587) all_464_0_698 = 0 % 181.88/125.37 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.88/125.37 | (1840) all_205_2_109 = all_0_9_9 % 181.88/125.37 | % 181.88/125.37 | From (1840) and (315) follows: % 181.88/125.37 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.88/125.37 | (212) all_85_0_75 = 0 % 181.88/125.37 | % 181.88/125.37 | Equations (212) can reduce 181 to: % 181.88/125.37 | (173) $false % 181.88/125.37 | % 181.88/125.37 |-The branch is then unsatisfiable % 181.88/125.37 |-Branch two: % 181.88/125.37 | (5600) all_456_0_697 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5600) yields: % 181.88/125.37 | (5582) all_456_0_697 = 0 % 181.88/125.37 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.88/125.37 | (532) all_226_1_115 = all_0_9_9 % 181.88/125.37 | % 181.88/125.37 | From (532) and (308) follows: % 181.88/125.37 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.88/125.37 | (212) all_85_0_75 = 0 % 181.88/125.37 | % 181.88/125.37 | Equations (212) can reduce 181 to: % 181.88/125.37 | (173) $false % 181.88/125.37 | % 181.88/125.37 |-The branch is then unsatisfiable % 181.88/125.37 |-Branch two: % 181.88/125.37 | (5468) all_402_0_673 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5468) yields: % 181.88/125.37 | (5414) all_402_0_673 = 0 % 181.88/125.37 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 181.88/125.37 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 181.88/125.37 | % 181.88/125.37 | Instantiating (383) with all_445_0_700 yields: % 181.88/125.37 | (5611) (all_445_0_700 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_700 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 181.88/125.37 | % 181.88/125.37 +-Applying beta-rule and splitting (5402), into two cases. % 181.88/125.37 |-Branch one: % 181.88/125.37 | (5418) all_410_0_674 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5418) yields: % 181.88/125.37 | (5419) all_410_0_674 = 0 % 181.88/125.37 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.88/125.37 | (501) all_226_1_115 = all_0_3_3 % 181.88/125.37 | % 181.88/125.37 | From (501) and (286) follows: % 181.88/125.37 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 181.88/125.37 | % 181.88/125.37 +-Applying beta-rule and splitting (5407), into two cases. % 181.88/125.37 |-Branch one: % 181.88/125.37 | (5430) all_418_0_675 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5430) yields: % 181.88/125.37 | (5431) all_418_0_675 = 0 % 181.88/125.37 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 181.88/125.37 | (1809) all_205_2_109 = all_0_3_3 % 181.88/125.37 | % 181.88/125.37 | From (1809) and (275) follows: % 181.88/125.37 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 181.88/125.37 | (2957) all_226_0_114 = 0 % 181.88/125.37 | % 181.88/125.37 | Equations (2957) can reduce 285 to: % 181.88/125.37 | (173) $false % 181.88/125.37 | % 181.88/125.37 |-The branch is then unsatisfiable % 181.88/125.37 |-Branch two: % 181.88/125.37 | (5437) all_418_0_675 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5437) yields: % 181.88/125.37 | (5431) all_418_0_675 = 0 % 181.88/125.37 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 181.88/125.37 | % 181.88/125.37 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 181.88/125.37 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 181.88/125.37 | % 181.88/125.37 | Instantiating (1816) with all_464_0_701 yields: % 181.88/125.37 | (5628) (all_464_0_701 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_701 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 181.88/125.37 | % 181.88/125.37 +-Applying beta-rule and splitting (5611), into two cases. % 181.88/125.37 |-Branch one: % 181.88/125.37 | (5629) all_445_0_700 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.37 | % 181.88/125.37 | Applying alpha-rule on (5629) yields: % 181.88/125.38 | (5630) all_445_0_700 = 0 % 181.88/125.38 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.88/125.38 | (405) all_135_1_90 = all_0_6_6 % 181.88/125.38 | % 181.88/125.38 | From (405) and (231) follows: % 181.88/125.38 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 181.88/125.38 | % 181.88/125.38 +-Applying beta-rule and splitting (5628), into two cases. % 181.88/125.38 |-Branch one: % 181.88/125.38 | (5634) all_464_0_701 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.38 | % 181.88/125.38 | Applying alpha-rule on (5634) yields: % 181.88/125.38 | (5635) all_464_0_701 = 0 % 181.88/125.38 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 181.88/125.38 | (1833) all_205_2_109 = all_0_6_6 % 181.88/125.38 | % 181.88/125.38 | From (1833) and (303) follows: % 181.88/125.38 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.88/125.38 | (261) all_135_0_89 = 0 % 181.88/125.38 | % 181.88/125.38 | Equations (261) can reduce 230 to: % 181.88/125.38 | (173) $false % 181.88/125.38 | % 181.88/125.38 |-The branch is then unsatisfiable % 181.88/125.38 |-Branch two: % 181.88/125.38 | (5641) all_464_0_701 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.38 | % 181.88/125.38 | Applying alpha-rule on (5641) yields: % 181.88/125.38 | (5635) all_464_0_701 = 0 % 181.88/125.38 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 181.88/125.38 | (1840) all_205_2_109 = all_0_9_9 % 181.88/125.38 | % 181.88/125.38 | From (1840) and (315) follows: % 181.88/125.38 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.88/125.38 | (212) all_85_0_75 = 0 % 181.88/125.38 | % 181.88/125.38 | Equations (212) can reduce 181 to: % 181.88/125.38 | (173) $false % 181.88/125.38 | % 181.88/125.38 |-The branch is then unsatisfiable % 181.88/125.38 |-Branch two: % 181.88/125.38 | (5648) all_445_0_700 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.38 | % 181.88/125.38 | Applying alpha-rule on (5648) yields: % 181.88/125.38 | (5630) all_445_0_700 = 0 % 181.88/125.38 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.88/125.38 | (412) all_135_1_90 = all_0_9_9 % 181.88/125.38 | % 181.88/125.38 | From (412) and (241) follows: % 181.88/125.38 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.88/125.38 | (212) all_85_0_75 = 0 % 181.88/125.38 | % 181.88/125.38 | Equations (212) can reduce 181 to: % 181.88/125.38 | (173) $false % 181.88/125.38 | % 181.88/125.38 |-The branch is then unsatisfiable % 181.88/125.38 |-Branch two: % 181.88/125.38 | (5425) all_410_0_674 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.38 | % 181.88/125.38 | Applying alpha-rule on (5425) yields: % 181.88/125.38 | (5419) all_410_0_674 = 0 % 181.88/125.38 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.88/125.38 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.88/125.38 | % 181.88/125.38 | Instantiating (508) with all_453_0_703 yields: % 181.88/125.38 | (5659) (all_453_0_703 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_703 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.88/125.38 | % 181.88/125.38 +-Applying beta-rule and splitting (5611), into two cases. % 181.88/125.38 |-Branch one: % 181.88/125.38 | (5629) all_445_0_700 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.38 | % 181.88/125.38 | Applying alpha-rule on (5629) yields: % 181.88/125.38 | (5630) all_445_0_700 = 0 % 181.88/125.38 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 181.88/125.38 | (405) all_135_1_90 = all_0_6_6 % 181.88/125.38 | % 181.88/125.38 | From (405) and (231) follows: % 181.88/125.38 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 181.88/125.38 | % 181.88/125.38 +-Applying beta-rule and splitting (5659), into two cases. % 181.88/125.38 |-Branch one: % 181.88/125.38 | (5665) all_453_0_703 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.38 | % 181.88/125.38 | Applying alpha-rule on (5665) yields: % 181.88/125.38 | (5666) all_453_0_703 = 0 % 181.88/125.38 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.88/125.38 | (525) all_226_1_115 = all_0_6_6 % 181.88/125.38 | % 181.88/125.38 | From (525) and (295) follows: % 181.88/125.38 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 181.88/125.38 | (261) all_135_0_89 = 0 % 181.88/125.38 | % 181.88/125.38 | Equations (261) can reduce 230 to: % 181.88/125.38 | (173) $false % 181.88/125.38 | % 181.88/125.38 |-The branch is then unsatisfiable % 181.88/125.38 |-Branch two: % 181.88/125.38 | (5672) all_453_0_703 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.38 | % 181.88/125.38 | Applying alpha-rule on (5672) yields: % 181.88/125.38 | (5666) all_453_0_703 = 0 % 181.88/125.38 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.88/125.38 | (532) all_226_1_115 = all_0_9_9 % 181.88/125.38 | % 181.88/125.38 | From (532) and (308) follows: % 181.88/125.38 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.88/125.38 | (212) all_85_0_75 = 0 % 181.88/125.38 | % 181.88/125.38 | Equations (212) can reduce 181 to: % 181.88/125.38 | (173) $false % 181.88/125.38 | % 181.88/125.38 |-The branch is then unsatisfiable % 181.88/125.38 |-Branch two: % 181.88/125.38 | (5648) all_445_0_700 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.38 | % 181.88/125.38 | Applying alpha-rule on (5648) yields: % 181.88/125.38 | (5630) all_445_0_700 = 0 % 181.88/125.38 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 181.88/125.38 | (412) all_135_1_90 = all_0_9_9 % 181.88/125.38 | % 181.88/125.38 | From (412) and (241) follows: % 181.88/125.38 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 181.88/125.38 | (212) all_85_0_75 = 0 % 181.88/125.38 | % 181.88/125.38 | Equations (212) can reduce 181 to: % 181.88/125.38 | (173) $false % 181.88/125.38 | % 181.88/125.38 |-The branch is then unsatisfiable % 181.88/125.38 |-Branch two: % 181.88/125.38 | (5367) all_378_0_662 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 181.88/125.38 | % 181.88/125.38 | Applying alpha-rule on (5367) yields: % 181.88/125.38 | (5265) all_378_0_662 = 0 % 181.88/125.38 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 181.88/125.38 | (1890) all_205_2_109 = all_0_5_5 % 181.88/125.38 | % 181.88/125.38 | From (1890) and (309) follows: % 181.88/125.38 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.88/125.38 | % 181.88/125.38 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.88/125.38 | (233) all_110_0_83 = 0 % 181.88/125.39 | % 181.88/125.39 | Equations (233) can reduce 209 to: % 181.88/125.39 | (173) $false % 181.88/125.39 | % 181.88/125.39 |-The branch is then unsatisfiable % 181.88/125.39 |-Branch two: % 181.88/125.39 | (5374) all_370_0_661 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (5374) yields: % 181.88/125.39 | (5260) all_370_0_661 = 0 % 181.88/125.39 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 181.88/125.39 | (582) all_226_1_115 = all_0_5_5 % 181.88/125.39 | % 181.88/125.39 | From (582) and (302) follows: % 181.88/125.39 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.88/125.39 | (233) all_110_0_83 = 0 % 181.88/125.39 | % 181.88/125.39 | Equations (233) can reduce 209 to: % 181.88/125.39 | (173) $false % 181.88/125.39 | % 181.88/125.39 |-The branch is then unsatisfiable % 181.88/125.39 |-Branch two: % 181.88/125.39 | (586) all_340_0_133 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (586) yields: % 181.88/125.39 | (352) all_340_0_133 = 0 % 181.88/125.39 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 181.88/125.39 | (589) all_135_1_90 = all_0_5_5 % 181.88/125.39 | % 181.88/125.39 | From (589) and (232) follows: % 181.88/125.39 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 181.88/125.39 | (233) all_110_0_83 = 0 % 181.88/125.39 | % 181.88/125.39 | Equations (233) can reduce 209 to: % 181.88/125.39 | (173) $false % 181.88/125.39 | % 181.88/125.39 |-The branch is then unsatisfiable % 181.88/125.39 |-Branch two: % 181.88/125.39 | (2952) all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (2952) yields: % 181.88/125.39 | (1650) all_318_0_130 = 0 % 181.88/125.39 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 181.88/125.39 | (2955) all_205_2_109 = all_0_8_8 % 181.88/125.39 | % 181.88/125.39 | From (2955) and (296) follows: % 181.88/125.39 | (4276) mem(all_0_8_8, all_129_1_88) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (58) with all_0_8_8, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_8_8, all_129_1_88) = all_181_0_102, mem(all_0_8_8, all_129_1_88) = 0, yields: % 181.88/125.39 | (288) all_181_0_102 = 0 % 181.88/125.39 | % 181.88/125.39 | Equations (288) can reduce 258 to: % 181.88/125.39 | (173) $false % 181.88/125.39 | % 181.88/125.39 |-The branch is then unsatisfiable % 181.88/125.39 |-Branch two: % 181.88/125.39 | (1644) all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (1644) yields: % 181.88/125.39 | (342) all_311_0_129 = 0 % 181.88/125.39 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 181.88/125.39 | (1647) all_226_1_115 = all_0_8_8 % 181.88/125.39 | % 181.88/125.39 | From (1647) and (287) follows: % 181.88/125.39 | (4276) mem(all_0_8_8, all_129_1_88) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (58) with all_0_8_8, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_8_8, all_129_1_88) = all_181_0_102, mem(all_0_8_8, all_129_1_88) = 0, yields: % 181.88/125.39 | (288) all_181_0_102 = 0 % 181.88/125.39 | % 181.88/125.39 | Equations (288) can reduce 258 to: % 181.88/125.39 | (173) $false % 181.88/125.39 | % 181.88/125.39 |-The branch is then unsatisfiable % 181.88/125.39 |-Branch two: % 181.88/125.39 | (5721) all_255_0_119 = 0 & mem(all_135_1_90, all_0_7_7) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (5721) yields: % 181.88/125.39 | (327) all_255_0_119 = 0 % 181.88/125.39 | (5723) mem(all_135_1_90, all_0_7_7) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_135_1_90 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_135_1_90, all_0_7_7) = 0, yields: % 181.88/125.39 | (5724) all_135_1_90 = all_0_8_8 % 181.88/125.39 | % 181.88/125.39 | From (5724) and (231) follows: % 181.88/125.39 | (5725) mem(all_0_8_8, all_99_1_80) = all_135_0_89 % 181.88/125.39 | % 181.88/125.39 +-Applying beta-rule and splitting (312), into two cases. % 181.88/125.39 |-Branch one: % 181.88/125.39 | (331) all_291_0_125 = 0 & mem(all_110_1_84, all_0_2_2) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (331) yields: % 181.88/125.39 | (332) all_291_0_125 = 0 % 181.88/125.39 | (333) mem(all_110_1_84, all_0_2_2) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_110_1_84, all_0_2_2) = 0, yields: % 181.88/125.39 | (334) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_3_3) = 0)) % 181.88/125.39 | % 181.88/125.39 | Instantiating (334) with all_351_0_717 yields: % 181.88/125.39 | (5730) (all_351_0_717 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (all_351_0_717 = 0 & mem(all_110_1_84, all_0_3_3) = 0) % 181.88/125.39 | % 181.88/125.39 +-Applying beta-rule and splitting (313), into two cases. % 181.88/125.39 |-Branch one: % 181.88/125.39 | (336) all_292_0_126 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (336) yields: % 181.88/125.39 | (337) all_292_0_126 = 0 % 181.88/125.39 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 181.88/125.39 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 181.88/125.39 | % 181.88/125.39 | Instantiating (339) with all_359_0_718 yields: % 181.88/125.39 | (5735) (all_359_0_718 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_359_0_718 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 181.88/125.39 | % 181.88/125.39 +-Applying beta-rule and splitting (318), into two cases. % 181.88/125.39 |-Branch one: % 181.88/125.39 | (341) all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (341) yields: % 181.88/125.39 | (342) all_311_0_129 = 0 % 181.88/125.39 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 181.88/125.39 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 181.88/125.39 | % 181.88/125.39 | Instantiating (344) with all_367_0_719 yields: % 181.88/125.39 | (5740) (all_367_0_719 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_367_0_719 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 181.88/125.39 | % 181.88/125.39 +-Applying beta-rule and splitting (320), into two cases. % 181.88/125.39 |-Branch one: % 181.88/125.39 | (1649) all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (1649) yields: % 181.88/125.39 | (1650) all_318_0_130 = 0 % 181.88/125.39 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 181.88/125.39 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 181.88/125.39 | % 181.88/125.39 | Instantiating (1652) with all_375_0_720 yields: % 181.88/125.39 | (5745) (all_375_0_720 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_375_0_720 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 181.88/125.39 | % 181.88/125.39 +-Applying beta-rule and splitting (325), into two cases. % 181.88/125.39 |-Branch one: % 181.88/125.39 | (346) all_332_0_132 = 0 & mem(all_85_1_76, all_72_0_70) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (346) yields: % 181.88/125.39 | (347) all_332_0_132 = 0 % 181.88/125.39 | (348) mem(all_85_1_76, all_72_0_70) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_85_1_76, all_72_0_70) = 0, yields: % 181.88/125.39 | (349) all_85_1_76 = all_0_3_3 % 181.88/125.39 | % 181.88/125.39 | From (349) and (182) follows: % 181.88/125.39 | (350) mem(all_0_3_3, all_57_1_65) = all_85_0_75 % 181.88/125.39 | % 181.88/125.39 +-Applying beta-rule and splitting (5730), into two cases. % 181.88/125.39 |-Branch one: % 181.88/125.39 | (5751) all_351_0_717 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (5751) yields: % 181.88/125.39 | (5752) all_351_0_717 = 0 % 181.88/125.39 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 181.88/125.39 | (359) all_110_1_84 = all_0_3_3 % 181.88/125.39 | % 181.88/125.39 | From (359) and (211) follows: % 181.88/125.39 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.88/125.39 | (212) all_85_0_75 = 0 % 181.88/125.39 | % 181.88/125.39 | Equations (212) can reduce 181 to: % 181.88/125.39 | (173) $false % 181.88/125.39 | % 181.88/125.39 |-The branch is then unsatisfiable % 181.88/125.39 |-Branch two: % 181.88/125.39 | (5758) all_351_0_717 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 181.88/125.39 | % 181.88/125.39 | Applying alpha-rule on (5758) yields: % 181.88/125.39 | (5752) all_351_0_717 = 0 % 181.88/125.39 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 181.88/125.39 | % 181.88/125.39 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 181.88/125.39 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 181.88/125.39 | % 181.88/125.39 | Instantiating (366) with all_402_0_722 yields: % 181.88/125.39 | (5762) (all_402_0_722 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_402_0_722 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 181.88/125.39 | % 181.88/125.39 +-Applying beta-rule and splitting (5735), into two cases. % 181.88/125.39 |-Branch one: % 181.88/125.39 | (5763) all_359_0_718 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 181.88/125.39 | % 181.88/125.40 | Applying alpha-rule on (5763) yields: % 181.88/125.40 | (5764) all_359_0_718 = 0 % 181.88/125.40 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 181.88/125.40 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 181.88/125.40 | % 181.88/125.40 | Instantiating (371) with all_410_0_723 yields: % 181.88/125.40 | (5767) (all_410_0_723 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_410_0_723 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 181.88/125.40 | % 181.88/125.40 +-Applying beta-rule and splitting (5740), into two cases. % 181.88/125.40 |-Branch one: % 181.88/125.40 | (5768) all_367_0_719 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5768) yields: % 181.88/125.40 | (5769) all_367_0_719 = 0 % 181.88/125.40 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 181.88/125.40 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 181.88/125.40 | % 181.88/125.40 | Instantiating (479) with all_418_0_724 yields: % 181.88/125.40 | (5772) (all_418_0_724 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_418_0_724 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 181.88/125.40 | % 181.88/125.40 +-Applying beta-rule and splitting (5762), into two cases. % 181.88/125.40 |-Branch one: % 181.88/125.40 | (5773) all_402_0_722 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5773) yields: % 181.88/125.40 | (5774) all_402_0_722 = 0 % 181.88/125.40 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 181.88/125.40 | (388) all_110_1_84 = all_0_6_6 % 181.88/125.40 | % 181.88/125.40 | From (388) and (210) follows: % 181.88/125.40 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 181.88/125.40 | % 181.88/125.40 +-Applying beta-rule and splitting (5767), into two cases. % 181.88/125.40 |-Branch one: % 181.88/125.40 | (5778) all_410_0_723 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5778) yields: % 181.88/125.40 | (5779) all_410_0_723 = 0 % 181.88/125.40 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 181.88/125.40 | (393) all_181_1_103 = all_0_3_3 % 181.88/125.40 | % 181.88/125.40 | From (393) and (297) follows: % 181.88/125.40 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.88/125.40 | (212) all_85_0_75 = 0 % 181.88/125.40 | % 181.88/125.40 | Equations (212) can reduce 181 to: % 181.88/125.40 | (173) $false % 181.88/125.40 | % 181.88/125.40 |-The branch is then unsatisfiable % 181.88/125.40 |-Branch two: % 181.88/125.40 | (5785) all_410_0_723 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5785) yields: % 181.88/125.40 | (5779) all_410_0_723 = 0 % 181.88/125.40 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 181.88/125.40 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 181.88/125.40 | % 181.88/125.40 | Instantiating (400) with all_453_0_727 yields: % 181.88/125.40 | (5789) (all_453_0_727 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_727 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 181.88/125.40 | % 181.88/125.40 +-Applying beta-rule and splitting (5772), into two cases. % 181.88/125.40 |-Branch one: % 181.88/125.40 | (5790) all_418_0_724 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5790) yields: % 181.88/125.40 | (5791) all_418_0_724 = 0 % 181.88/125.40 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 181.88/125.40 | (501) all_226_1_115 = all_0_3_3 % 181.88/125.40 | % 181.88/125.40 | From (501) and (308) follows: % 181.88/125.40 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 181.88/125.40 | (212) all_85_0_75 = 0 % 181.88/125.40 | % 181.88/125.40 | Equations (212) can reduce 181 to: % 181.88/125.40 | (173) $false % 181.88/125.40 | % 181.88/125.40 |-The branch is then unsatisfiable % 181.88/125.40 |-Branch two: % 181.88/125.40 | (5797) all_418_0_724 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5797) yields: % 181.88/125.40 | (5791) all_418_0_724 = 0 % 181.88/125.40 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 181.88/125.40 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 181.88/125.40 | % 181.88/125.40 | Instantiating (508) with all_461_0_728 yields: % 181.88/125.40 | (5801) (all_461_0_728 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_728 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 181.88/125.40 | % 181.88/125.40 +-Applying beta-rule and splitting (5789), into two cases. % 181.88/125.40 |-Branch one: % 181.88/125.40 | (5802) all_453_0_727 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5802) yields: % 181.88/125.40 | (5803) all_453_0_727 = 0 % 181.88/125.40 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 181.88/125.40 | (417) all_181_1_103 = all_0_6_6 % 181.88/125.40 | % 181.88/125.40 | From (417) and (269) follows: % 181.88/125.40 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 181.88/125.40 | (233) all_110_0_83 = 0 % 181.88/125.40 | % 181.88/125.40 | Equations (233) can reduce 209 to: % 181.88/125.40 | (173) $false % 181.88/125.40 | % 181.88/125.40 |-The branch is then unsatisfiable % 181.88/125.40 |-Branch two: % 181.88/125.40 | (5809) all_453_0_727 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5809) yields: % 181.88/125.40 | (5803) all_453_0_727 = 0 % 181.88/125.40 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 181.88/125.40 | (424) all_181_1_103 = all_0_9_9 % 181.88/125.40 | % 181.88/125.40 | From (424) and (259) follows: % 181.88/125.40 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 181.88/125.40 | % 181.88/125.40 +-Applying beta-rule and splitting (5801), into two cases. % 181.88/125.40 |-Branch one: % 181.88/125.40 | (5814) all_461_0_728 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5814) yields: % 181.88/125.40 | (5815) all_461_0_728 = 0 % 181.88/125.40 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 181.88/125.40 | (525) all_226_1_115 = all_0_6_6 % 181.88/125.40 | % 181.88/125.40 | From (525) and (302) follows: % 181.88/125.40 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 181.88/125.40 | (233) all_110_0_83 = 0 % 181.88/125.40 | % 181.88/125.40 | Equations (233) can reduce 209 to: % 181.88/125.40 | (173) $false % 181.88/125.40 | % 181.88/125.40 |-The branch is then unsatisfiable % 181.88/125.40 |-Branch two: % 181.88/125.40 | (5821) all_461_0_728 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5821) yields: % 181.88/125.40 | (5815) all_461_0_728 = 0 % 181.88/125.40 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 181.88/125.40 | (532) all_226_1_115 = all_0_9_9 % 181.88/125.40 | % 181.88/125.40 | From (532) and (287) follows: % 181.88/125.40 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 181.88/125.40 | % 181.88/125.40 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 181.88/125.40 | (288) all_181_0_102 = 0 % 181.88/125.40 | % 181.88/125.40 | Equations (288) can reduce 258 to: % 181.88/125.40 | (173) $false % 181.88/125.40 | % 181.88/125.40 |-The branch is then unsatisfiable % 181.88/125.40 |-Branch two: % 181.88/125.40 | (5828) all_402_0_722 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 181.88/125.40 | % 181.88/125.40 | Applying alpha-rule on (5828) yields: % 181.88/125.41 | (5774) all_402_0_722 = 0 % 181.88/125.41 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 181.88/125.41 | % 181.88/125.41 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 181.88/125.41 | (431) all_110_1_84 = all_0_9_9 % 181.88/125.41 | % 181.88/125.41 | From (431) and (210) follows: % 181.88/125.41 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 181.88/125.41 | % 181.88/125.41 +-Applying beta-rule and splitting (5767), into two cases. % 181.88/125.41 |-Branch one: % 181.88/125.41 | (5778) all_410_0_723 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 181.88/125.41 | % 182.18/125.41 | Applying alpha-rule on (5778) yields: % 182.18/125.41 | (5779) all_410_0_723 = 0 % 182.18/125.41 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.18/125.41 | (393) all_181_1_103 = all_0_3_3 % 182.18/125.41 | % 182.18/125.41 | From (393) and (297) follows: % 182.18/125.41 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.41 | (212) all_85_0_75 = 0 % 182.18/125.41 | % 182.18/125.41 | Equations (212) can reduce 181 to: % 182.18/125.41 | (173) $false % 182.18/125.41 | % 182.18/125.41 |-The branch is then unsatisfiable % 182.18/125.41 |-Branch two: % 182.18/125.41 | (5785) all_410_0_723 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.41 | % 182.18/125.41 | Applying alpha-rule on (5785) yields: % 182.18/125.41 | (5779) all_410_0_723 = 0 % 182.18/125.41 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.18/125.41 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.18/125.41 | % 182.18/125.41 | Instantiating (400) with all_453_0_731 yields: % 182.18/125.41 | (5844) (all_453_0_731 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_731 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.18/125.41 | % 182.18/125.41 +-Applying beta-rule and splitting (5772), into two cases. % 182.18/125.41 |-Branch one: % 182.18/125.41 | (5790) all_418_0_724 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.41 | % 182.18/125.41 | Applying alpha-rule on (5790) yields: % 182.18/125.41 | (5791) all_418_0_724 = 0 % 182.18/125.41 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.18/125.41 | (501) all_226_1_115 = all_0_3_3 % 182.18/125.41 | % 182.18/125.41 | From (501) and (308) follows: % 182.18/125.41 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.41 | (212) all_85_0_75 = 0 % 182.18/125.41 | % 182.18/125.41 | Equations (212) can reduce 181 to: % 182.18/125.41 | (173) $false % 182.18/125.41 | % 182.18/125.41 |-The branch is then unsatisfiable % 182.18/125.41 |-Branch two: % 182.18/125.41 | (5797) all_418_0_724 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.41 | % 182.18/125.41 | Applying alpha-rule on (5797) yields: % 182.18/125.41 | (5791) all_418_0_724 = 0 % 182.18/125.41 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.18/125.41 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.18/125.41 | % 182.18/125.41 | Instantiating (508) with all_461_0_732 yields: % 182.18/125.41 | (5856) (all_461_0_732 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_732 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.18/125.41 | % 182.18/125.41 +-Applying beta-rule and splitting (5844), into two cases. % 182.18/125.41 |-Branch one: % 182.18/125.41 | (5857) all_453_0_731 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.41 | % 182.18/125.41 | Applying alpha-rule on (5857) yields: % 182.18/125.41 | (5858) all_453_0_731 = 0 % 182.18/125.41 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.18/125.41 | (417) all_181_1_103 = all_0_6_6 % 182.18/125.41 | % 182.18/125.41 | From (417) and (259) follows: % 182.18/125.41 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 182.18/125.41 | % 182.18/125.41 +-Applying beta-rule and splitting (5856), into two cases. % 182.18/125.41 |-Branch one: % 182.18/125.41 | (5862) all_461_0_732 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.41 | % 182.18/125.41 | Applying alpha-rule on (5862) yields: % 182.18/125.41 | (5863) all_461_0_732 = 0 % 182.18/125.41 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.18/125.41 | (525) all_226_1_115 = all_0_6_6 % 182.18/125.41 | % 182.18/125.41 | From (525) and (287) follows: % 182.18/125.41 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 182.18/125.41 | (288) all_181_0_102 = 0 % 182.18/125.41 | % 182.18/125.41 | Equations (288) can reduce 258 to: % 182.18/125.41 | (173) $false % 182.18/125.41 | % 182.18/125.41 |-The branch is then unsatisfiable % 182.18/125.41 |-Branch two: % 182.18/125.41 | (5869) all_461_0_732 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.41 | % 182.18/125.41 | Applying alpha-rule on (5869) yields: % 182.18/125.41 | (5863) all_461_0_732 = 0 % 182.18/125.41 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.18/125.41 | (532) all_226_1_115 = all_0_9_9 % 182.18/125.41 | % 182.18/125.41 | From (532) and (302) follows: % 182.18/125.41 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.18/125.41 | (233) all_110_0_83 = 0 % 182.18/125.41 | % 182.18/125.41 | Equations (233) can reduce 209 to: % 182.18/125.41 | (173) $false % 182.18/125.41 | % 182.18/125.41 |-The branch is then unsatisfiable % 182.18/125.41 |-Branch two: % 182.18/125.41 | (5876) all_453_0_731 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.41 | % 182.18/125.41 | Applying alpha-rule on (5876) yields: % 182.18/125.41 | (5858) all_453_0_731 = 0 % 182.18/125.41 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.18/125.41 | (424) all_181_1_103 = all_0_9_9 % 182.18/125.41 | % 182.18/125.41 | From (424) and (269) follows: % 182.18/125.41 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.18/125.41 | (233) all_110_0_83 = 0 % 182.18/125.41 | % 182.18/125.41 | Equations (233) can reduce 209 to: % 182.18/125.41 | (173) $false % 182.18/125.41 | % 182.18/125.41 |-The branch is then unsatisfiable % 182.18/125.41 |-Branch two: % 182.18/125.41 | (5883) all_367_0_719 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 182.18/125.41 | % 182.18/125.41 | Applying alpha-rule on (5883) yields: % 182.18/125.41 | (5769) all_367_0_719 = 0 % 182.18/125.41 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 182.18/125.41 | (582) all_226_1_115 = all_0_5_5 % 182.18/125.41 | % 182.18/125.41 | From (582) and (286) follows: % 182.18/125.41 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 182.18/125.41 | % 182.18/125.41 +-Applying beta-rule and splitting (5745), into two cases. % 182.18/125.41 |-Branch one: % 182.18/125.41 | (5888) all_375_0_720 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 182.18/125.41 | % 182.18/125.41 | Applying alpha-rule on (5888) yields: % 182.18/125.41 | (5889) all_375_0_720 = 0 % 182.18/125.41 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 182.18/125.41 | % 182.18/125.41 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 182.18/125.41 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 182.18/125.42 | % 182.18/125.42 | Instantiating (1787) with all_429_0_735 yields: % 182.18/125.42 | (5892) (all_429_0_735 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_735 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 182.18/125.42 | % 182.18/125.42 +-Applying beta-rule and splitting (5762), into two cases. % 182.18/125.42 |-Branch one: % 182.18/125.42 | (5773) all_402_0_722 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5773) yields: % 182.18/125.42 | (5774) all_402_0_722 = 0 % 182.18/125.42 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 182.18/125.42 | (388) all_110_1_84 = all_0_6_6 % 182.18/125.42 | % 182.18/125.42 | From (388) and (210) follows: % 182.18/125.42 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 182.18/125.42 | % 182.18/125.42 +-Applying beta-rule and splitting (5767), into two cases. % 182.18/125.42 |-Branch one: % 182.18/125.42 | (5778) all_410_0_723 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5778) yields: % 182.18/125.42 | (5779) all_410_0_723 = 0 % 182.18/125.42 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.18/125.42 | (393) all_181_1_103 = all_0_3_3 % 182.18/125.42 | % 182.18/125.42 | From (393) and (297) follows: % 182.18/125.42 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.42 | (212) all_85_0_75 = 0 % 182.18/125.42 | % 182.18/125.42 | Equations (212) can reduce 181 to: % 182.18/125.42 | (173) $false % 182.18/125.42 | % 182.18/125.42 |-The branch is then unsatisfiable % 182.18/125.42 |-Branch two: % 182.18/125.42 | (5785) all_410_0_723 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5785) yields: % 182.18/125.42 | (5779) all_410_0_723 = 0 % 182.18/125.42 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.18/125.42 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.18/125.42 | % 182.18/125.42 | Instantiating (400) with all_456_0_737 yields: % 182.18/125.42 | (5909) (all_456_0_737 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_737 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.18/125.42 | % 182.18/125.42 +-Applying beta-rule and splitting (5892), into two cases. % 182.18/125.42 |-Branch one: % 182.18/125.42 | (5910) all_429_0_735 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5910) yields: % 182.18/125.42 | (5911) all_429_0_735 = 0 % 182.18/125.42 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.18/125.42 | (1809) all_205_2_109 = all_0_3_3 % 182.18/125.42 | % 182.18/125.42 | From (1809) and (315) follows: % 182.18/125.42 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.42 | (212) all_85_0_75 = 0 % 182.18/125.42 | % 182.18/125.42 | Equations (212) can reduce 181 to: % 182.18/125.42 | (173) $false % 182.18/125.42 | % 182.18/125.42 |-The branch is then unsatisfiable % 182.18/125.42 |-Branch two: % 182.18/125.42 | (5917) all_429_0_735 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5917) yields: % 182.18/125.42 | (5911) all_429_0_735 = 0 % 182.18/125.42 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.18/125.42 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.18/125.42 | % 182.18/125.42 | Instantiating (1816) with all_464_0_738 yields: % 182.18/125.42 | (5921) (all_464_0_738 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_738 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.18/125.42 | % 182.18/125.42 +-Applying beta-rule and splitting (5909), into two cases. % 182.18/125.42 |-Branch one: % 182.18/125.42 | (5922) all_456_0_737 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5922) yields: % 182.18/125.42 | (5923) all_456_0_737 = 0 % 182.18/125.42 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.18/125.42 | (417) all_181_1_103 = all_0_6_6 % 182.18/125.42 | % 182.18/125.42 | From (417) and (269) follows: % 182.18/125.42 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.18/125.42 | (233) all_110_0_83 = 0 % 182.18/125.42 | % 182.18/125.42 | Equations (233) can reduce 209 to: % 182.18/125.42 | (173) $false % 182.18/125.42 | % 182.18/125.42 |-The branch is then unsatisfiable % 182.18/125.42 |-Branch two: % 182.18/125.42 | (5929) all_456_0_737 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5929) yields: % 182.18/125.42 | (5923) all_456_0_737 = 0 % 182.18/125.42 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.18/125.42 | (424) all_181_1_103 = all_0_9_9 % 182.18/125.42 | % 182.18/125.42 | From (424) and (259) follows: % 182.18/125.42 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 182.18/125.42 | % 182.18/125.42 +-Applying beta-rule and splitting (5921), into two cases. % 182.18/125.42 |-Branch one: % 182.18/125.42 | (5934) all_464_0_738 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5934) yields: % 182.18/125.42 | (5935) all_464_0_738 = 0 % 182.18/125.42 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.18/125.42 | (1833) all_205_2_109 = all_0_6_6 % 182.18/125.42 | % 182.18/125.42 | From (1833) and (309) follows: % 182.18/125.42 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.18/125.42 | (233) all_110_0_83 = 0 % 182.18/125.42 | % 182.18/125.42 | Equations (233) can reduce 209 to: % 182.18/125.42 | (173) $false % 182.18/125.42 | % 182.18/125.42 |-The branch is then unsatisfiable % 182.18/125.42 |-Branch two: % 182.18/125.42 | (5941) all_464_0_738 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5941) yields: % 182.18/125.42 | (5935) all_464_0_738 = 0 % 182.18/125.42 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.18/125.42 | (1840) all_205_2_109 = all_0_9_9 % 182.18/125.42 | % 182.18/125.42 | From (1840) and (296) follows: % 182.18/125.42 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 182.18/125.42 | (288) all_181_0_102 = 0 % 182.18/125.42 | % 182.18/125.42 | Equations (288) can reduce 258 to: % 182.18/125.42 | (173) $false % 182.18/125.42 | % 182.18/125.42 |-The branch is then unsatisfiable % 182.18/125.42 |-Branch two: % 182.18/125.42 | (5828) all_402_0_722 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5828) yields: % 182.18/125.42 | (5774) all_402_0_722 = 0 % 182.18/125.42 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 182.18/125.42 | % 182.18/125.42 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 182.18/125.42 | (431) all_110_1_84 = all_0_9_9 % 182.18/125.42 | % 182.18/125.42 | From (431) and (210) follows: % 182.18/125.42 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 182.18/125.42 | % 182.18/125.42 +-Applying beta-rule and splitting (5767), into two cases. % 182.18/125.42 |-Branch one: % 182.18/125.42 | (5778) all_410_0_723 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.42 | % 182.18/125.42 | Applying alpha-rule on (5778) yields: % 182.18/125.43 | (5779) all_410_0_723 = 0 % 182.18/125.43 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.18/125.43 | (393) all_181_1_103 = all_0_3_3 % 182.18/125.43 | % 182.18/125.43 | From (393) and (297) follows: % 182.18/125.43 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.43 | (212) all_85_0_75 = 0 % 182.18/125.43 | % 182.18/125.43 | Equations (212) can reduce 181 to: % 182.18/125.43 | (173) $false % 182.18/125.43 | % 182.18/125.43 |-The branch is then unsatisfiable % 182.18/125.43 |-Branch two: % 182.18/125.43 | (5785) all_410_0_723 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.43 | % 182.18/125.43 | Applying alpha-rule on (5785) yields: % 182.18/125.43 | (5779) all_410_0_723 = 0 % 182.18/125.43 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.18/125.43 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.18/125.43 | % 182.18/125.43 | Instantiating (400) with all_456_0_740 yields: % 182.18/125.43 | (5964) (all_456_0_740 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_740 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.18/125.43 | % 182.18/125.43 +-Applying beta-rule and splitting (5892), into two cases. % 182.18/125.43 |-Branch one: % 182.18/125.43 | (5910) all_429_0_735 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.18/125.43 | % 182.18/125.43 | Applying alpha-rule on (5910) yields: % 182.18/125.43 | (5911) all_429_0_735 = 0 % 182.18/125.43 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.18/125.43 | (1809) all_205_2_109 = all_0_3_3 % 182.18/125.43 | % 182.18/125.43 | From (1809) and (315) follows: % 182.18/125.43 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.43 | (212) all_85_0_75 = 0 % 182.18/125.43 | % 182.18/125.43 | Equations (212) can reduce 181 to: % 182.18/125.43 | (173) $false % 182.18/125.43 | % 182.18/125.43 |-The branch is then unsatisfiable % 182.18/125.43 |-Branch two: % 182.18/125.43 | (5917) all_429_0_735 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.18/125.43 | % 182.18/125.43 | Applying alpha-rule on (5917) yields: % 182.18/125.43 | (5911) all_429_0_735 = 0 % 182.18/125.43 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.18/125.43 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.18/125.43 | % 182.18/125.43 | Instantiating (1816) with all_464_0_741 yields: % 182.18/125.43 | (5976) (all_464_0_741 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_741 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.18/125.43 | % 182.18/125.43 +-Applying beta-rule and splitting (5964), into two cases. % 182.18/125.43 |-Branch one: % 182.18/125.43 | (5977) all_456_0_740 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.43 | % 182.18/125.43 | Applying alpha-rule on (5977) yields: % 182.18/125.43 | (5978) all_456_0_740 = 0 % 182.18/125.43 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.18/125.43 | (417) all_181_1_103 = all_0_6_6 % 182.18/125.43 | % 182.18/125.43 | From (417) and (259) follows: % 182.18/125.43 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 182.18/125.43 | % 182.18/125.43 +-Applying beta-rule and splitting (5976), into two cases. % 182.18/125.43 |-Branch one: % 182.18/125.43 | (5982) all_464_0_741 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.18/125.43 | % 182.18/125.43 | Applying alpha-rule on (5982) yields: % 182.18/125.43 | (5983) all_464_0_741 = 0 % 182.18/125.43 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.18/125.43 | (1833) all_205_2_109 = all_0_6_6 % 182.18/125.43 | % 182.18/125.43 | From (1833) and (296) follows: % 182.18/125.43 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 182.18/125.43 | (288) all_181_0_102 = 0 % 182.18/125.43 | % 182.18/125.43 | Equations (288) can reduce 258 to: % 182.18/125.43 | (173) $false % 182.18/125.43 | % 182.18/125.43 |-The branch is then unsatisfiable % 182.18/125.43 |-Branch two: % 182.18/125.43 | (5989) all_464_0_741 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.18/125.43 | % 182.18/125.43 | Applying alpha-rule on (5989) yields: % 182.18/125.43 | (5983) all_464_0_741 = 0 % 182.18/125.43 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.18/125.43 | (1840) all_205_2_109 = all_0_9_9 % 182.18/125.43 | % 182.18/125.43 | From (1840) and (309) follows: % 182.18/125.43 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.18/125.43 | (233) all_110_0_83 = 0 % 182.18/125.43 | % 182.18/125.43 | Equations (233) can reduce 209 to: % 182.18/125.43 | (173) $false % 182.18/125.43 | % 182.18/125.43 |-The branch is then unsatisfiable % 182.18/125.43 |-Branch two: % 182.18/125.43 | (5996) all_456_0_740 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.43 | % 182.18/125.43 | Applying alpha-rule on (5996) yields: % 182.18/125.43 | (5978) all_456_0_740 = 0 % 182.18/125.43 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.18/125.43 | (424) all_181_1_103 = all_0_9_9 % 182.18/125.43 | % 182.18/125.43 | From (424) and (269) follows: % 182.18/125.43 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.18/125.43 | (233) all_110_0_83 = 0 % 182.18/125.43 | % 182.18/125.43 | Equations (233) can reduce 209 to: % 182.18/125.43 | (173) $false % 182.18/125.43 | % 182.18/125.43 |-The branch is then unsatisfiable % 182.18/125.43 |-Branch two: % 182.18/125.43 | (6003) all_375_0_720 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 182.18/125.43 | % 182.18/125.43 | Applying alpha-rule on (6003) yields: % 182.18/125.43 | (5889) all_375_0_720 = 0 % 182.18/125.43 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 182.18/125.43 | (1890) all_205_2_109 = all_0_5_5 % 182.18/125.43 | % 182.18/125.43 | From (1890) and (275) follows: % 182.18/125.43 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 182.18/125.43 | % 182.18/125.43 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 182.18/125.43 | (2957) all_226_0_114 = 0 % 182.18/125.43 | % 182.18/125.43 | Equations (2957) can reduce 285 to: % 182.18/125.43 | (173) $false % 182.18/125.43 | % 182.18/125.43 |-The branch is then unsatisfiable % 182.18/125.43 |-Branch two: % 182.18/125.43 | (6010) all_359_0_718 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 182.18/125.43 | % 182.18/125.43 | Applying alpha-rule on (6010) yields: % 182.18/125.44 | (5764) all_359_0_718 = 0 % 182.18/125.44 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 182.18/125.44 | (474) all_181_1_103 = all_0_5_5 % 182.18/125.44 | % 182.18/125.44 | From (474) and (259) follows: % 182.18/125.44 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 182.18/125.44 | % 182.18/125.44 +-Applying beta-rule and splitting (5740), into two cases. % 182.18/125.44 |-Branch one: % 182.18/125.44 | (5768) all_367_0_719 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (5768) yields: % 182.18/125.44 | (5769) all_367_0_719 = 0 % 182.18/125.44 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 182.18/125.44 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 182.18/125.44 | % 182.18/125.44 | Instantiating (479) with all_421_0_743 yields: % 182.18/125.44 | (6019) (all_421_0_743 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_421_0_743 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 182.18/125.44 | % 182.18/125.44 +-Applying beta-rule and splitting (5745), into two cases. % 182.18/125.44 |-Branch one: % 182.18/125.44 | (5888) all_375_0_720 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (5888) yields: % 182.18/125.44 | (5889) all_375_0_720 = 0 % 182.18/125.44 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 182.18/125.44 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 182.18/125.44 | % 182.18/125.44 | Instantiating (1787) with all_429_0_744 yields: % 182.18/125.44 | (6024) (all_429_0_744 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_744 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 182.18/125.44 | % 182.18/125.44 +-Applying beta-rule and splitting (5762), into two cases. % 182.18/125.44 |-Branch one: % 182.18/125.44 | (5773) all_402_0_722 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (5773) yields: % 182.18/125.44 | (5774) all_402_0_722 = 0 % 182.18/125.44 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 182.18/125.44 | (388) all_110_1_84 = all_0_6_6 % 182.18/125.44 | % 182.18/125.44 | From (388) and (210) follows: % 182.18/125.44 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 182.18/125.44 | % 182.18/125.44 +-Applying beta-rule and splitting (6019), into two cases. % 182.18/125.44 |-Branch one: % 182.18/125.44 | (6030) all_421_0_743 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (6030) yields: % 182.18/125.44 | (6031) all_421_0_743 = 0 % 182.18/125.44 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.18/125.44 | (501) all_226_1_115 = all_0_3_3 % 182.18/125.44 | % 182.18/125.44 | From (501) and (308) follows: % 182.18/125.44 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.44 | (212) all_85_0_75 = 0 % 182.18/125.44 | % 182.18/125.44 | Equations (212) can reduce 181 to: % 182.18/125.44 | (173) $false % 182.18/125.44 | % 182.18/125.44 |-The branch is then unsatisfiable % 182.18/125.44 |-Branch two: % 182.18/125.44 | (6037) all_421_0_743 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (6037) yields: % 182.18/125.44 | (6031) all_421_0_743 = 0 % 182.18/125.44 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.18/125.44 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.18/125.44 | % 182.18/125.44 | Instantiating (508) with all_456_0_746 yields: % 182.18/125.44 | (6041) (all_456_0_746 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_746 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.18/125.44 | % 182.18/125.44 +-Applying beta-rule and splitting (6024), into two cases. % 182.18/125.44 |-Branch one: % 182.18/125.44 | (6042) all_429_0_744 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (6042) yields: % 182.18/125.44 | (6043) all_429_0_744 = 0 % 182.18/125.44 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.18/125.44 | (1809) all_205_2_109 = all_0_3_3 % 182.18/125.44 | % 182.18/125.44 | From (1809) and (315) follows: % 182.18/125.44 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.44 | (212) all_85_0_75 = 0 % 182.18/125.44 | % 182.18/125.44 | Equations (212) can reduce 181 to: % 182.18/125.44 | (173) $false % 182.18/125.44 | % 182.18/125.44 |-The branch is then unsatisfiable % 182.18/125.44 |-Branch two: % 182.18/125.44 | (6049) all_429_0_744 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (6049) yields: % 182.18/125.44 | (6043) all_429_0_744 = 0 % 182.18/125.44 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.18/125.44 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.18/125.44 | % 182.18/125.44 | Instantiating (1816) with all_464_0_747 yields: % 182.18/125.44 | (6053) (all_464_0_747 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_747 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.18/125.44 | % 182.18/125.44 +-Applying beta-rule and splitting (6041), into two cases. % 182.18/125.44 |-Branch one: % 182.18/125.44 | (6054) all_456_0_746 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (6054) yields: % 182.18/125.44 | (6055) all_456_0_746 = 0 % 182.18/125.44 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.18/125.44 | (525) all_226_1_115 = all_0_6_6 % 182.18/125.44 | % 182.18/125.44 | From (525) and (302) follows: % 182.18/125.44 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.18/125.44 | (233) all_110_0_83 = 0 % 182.18/125.44 | % 182.18/125.44 | Equations (233) can reduce 209 to: % 182.18/125.44 | (173) $false % 182.18/125.44 | % 182.18/125.44 |-The branch is then unsatisfiable % 182.18/125.44 |-Branch two: % 182.18/125.44 | (6061) all_456_0_746 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (6061) yields: % 182.18/125.44 | (6055) all_456_0_746 = 0 % 182.18/125.44 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.18/125.44 | (532) all_226_1_115 = all_0_9_9 % 182.18/125.44 | % 182.18/125.44 | From (532) and (286) follows: % 182.18/125.44 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 182.18/125.44 | % 182.18/125.44 +-Applying beta-rule and splitting (6053), into two cases. % 182.18/125.44 |-Branch one: % 182.18/125.44 | (6066) all_464_0_747 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.18/125.44 | % 182.18/125.44 | Applying alpha-rule on (6066) yields: % 182.18/125.44 | (6067) all_464_0_747 = 0 % 182.18/125.44 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.18/125.44 | (1833) all_205_2_109 = all_0_6_6 % 182.18/125.44 | % 182.18/125.44 | From (1833) and (309) follows: % 182.18/125.44 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.18/125.44 | % 182.18/125.44 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.18/125.45 | (233) all_110_0_83 = 0 % 182.18/125.45 | % 182.18/125.45 | Equations (233) can reduce 209 to: % 182.18/125.45 | (173) $false % 182.18/125.45 | % 182.18/125.45 |-The branch is then unsatisfiable % 182.18/125.45 |-Branch two: % 182.18/125.45 | (6073) all_464_0_747 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.18/125.45 | % 182.18/125.45 | Applying alpha-rule on (6073) yields: % 182.18/125.45 | (6067) all_464_0_747 = 0 % 182.18/125.45 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.18/125.45 | (1840) all_205_2_109 = all_0_9_9 % 182.18/125.45 | % 182.18/125.45 | From (1840) and (275) follows: % 182.18/125.45 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 182.18/125.45 | (2957) all_226_0_114 = 0 % 182.18/125.45 | % 182.18/125.45 | Equations (2957) can reduce 285 to: % 182.18/125.45 | (173) $false % 182.18/125.45 | % 182.18/125.45 |-The branch is then unsatisfiable % 182.18/125.45 |-Branch two: % 182.18/125.45 | (5828) all_402_0_722 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 182.18/125.45 | % 182.18/125.45 | Applying alpha-rule on (5828) yields: % 182.18/125.45 | (5774) all_402_0_722 = 0 % 182.18/125.45 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 182.18/125.45 | (431) all_110_1_84 = all_0_9_9 % 182.18/125.45 | % 182.18/125.45 | From (431) and (210) follows: % 182.18/125.45 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 182.18/125.45 | % 182.18/125.45 +-Applying beta-rule and splitting (6019), into two cases. % 182.18/125.45 |-Branch one: % 182.18/125.45 | (6030) all_421_0_743 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.45 | % 182.18/125.45 | Applying alpha-rule on (6030) yields: % 182.18/125.45 | (6031) all_421_0_743 = 0 % 182.18/125.45 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.18/125.45 | (501) all_226_1_115 = all_0_3_3 % 182.18/125.45 | % 182.18/125.45 | From (501) and (308) follows: % 182.18/125.45 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.45 | (212) all_85_0_75 = 0 % 182.18/125.45 | % 182.18/125.45 | Equations (212) can reduce 181 to: % 182.18/125.45 | (173) $false % 182.18/125.45 | % 182.18/125.45 |-The branch is then unsatisfiable % 182.18/125.45 |-Branch two: % 182.18/125.45 | (6037) all_421_0_743 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.45 | % 182.18/125.45 | Applying alpha-rule on (6037) yields: % 182.18/125.45 | (6031) all_421_0_743 = 0 % 182.18/125.45 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.18/125.45 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.18/125.45 | % 182.18/125.45 | Instantiating (508) with all_456_0_749 yields: % 182.18/125.45 | (6096) (all_456_0_749 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_749 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.18/125.45 | % 182.18/125.45 +-Applying beta-rule and splitting (6024), into two cases. % 182.18/125.45 |-Branch one: % 182.18/125.45 | (6042) all_429_0_744 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.18/125.45 | % 182.18/125.45 | Applying alpha-rule on (6042) yields: % 182.18/125.45 | (6043) all_429_0_744 = 0 % 182.18/125.45 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.18/125.45 | (1809) all_205_2_109 = all_0_3_3 % 182.18/125.45 | % 182.18/125.45 | From (1809) and (315) follows: % 182.18/125.45 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.18/125.45 | (212) all_85_0_75 = 0 % 182.18/125.45 | % 182.18/125.45 | Equations (212) can reduce 181 to: % 182.18/125.45 | (173) $false % 182.18/125.45 | % 182.18/125.45 |-The branch is then unsatisfiable % 182.18/125.45 |-Branch two: % 182.18/125.45 | (6049) all_429_0_744 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.18/125.45 | % 182.18/125.45 | Applying alpha-rule on (6049) yields: % 182.18/125.45 | (6043) all_429_0_744 = 0 % 182.18/125.45 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.18/125.45 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.18/125.45 | % 182.18/125.45 | Instantiating (1816) with all_464_0_750 yields: % 182.18/125.45 | (6108) (all_464_0_750 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_750 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.18/125.45 | % 182.18/125.45 +-Applying beta-rule and splitting (6096), into two cases. % 182.18/125.45 |-Branch one: % 182.18/125.45 | (6109) all_456_0_749 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.45 | % 182.18/125.45 | Applying alpha-rule on (6109) yields: % 182.18/125.45 | (6110) all_456_0_749 = 0 % 182.18/125.45 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.18/125.45 | (525) all_226_1_115 = all_0_6_6 % 182.18/125.45 | % 182.18/125.45 | From (525) and (286) follows: % 182.18/125.45 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 182.18/125.45 | % 182.18/125.45 +-Applying beta-rule and splitting (6108), into two cases. % 182.18/125.45 |-Branch one: % 182.18/125.45 | (6114) all_464_0_750 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.18/125.45 | % 182.18/125.45 | Applying alpha-rule on (6114) yields: % 182.18/125.45 | (6115) all_464_0_750 = 0 % 182.18/125.45 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.18/125.45 | (1833) all_205_2_109 = all_0_6_6 % 182.18/125.45 | % 182.18/125.45 | From (1833) and (275) follows: % 182.18/125.45 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 182.18/125.45 | (2957) all_226_0_114 = 0 % 182.18/125.45 | % 182.18/125.45 | Equations (2957) can reduce 285 to: % 182.18/125.45 | (173) $false % 182.18/125.45 | % 182.18/125.45 |-The branch is then unsatisfiable % 182.18/125.45 |-Branch two: % 182.18/125.45 | (6121) all_464_0_750 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.18/125.45 | % 182.18/125.45 | Applying alpha-rule on (6121) yields: % 182.18/125.45 | (6115) all_464_0_750 = 0 % 182.18/125.45 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.18/125.45 | (1840) all_205_2_109 = all_0_9_9 % 182.18/125.45 | % 182.18/125.45 | From (1840) and (309) follows: % 182.18/125.45 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.18/125.45 | % 182.18/125.45 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.18/125.46 | (233) all_110_0_83 = 0 % 182.18/125.46 | % 182.18/125.46 | Equations (233) can reduce 209 to: % 182.18/125.46 | (173) $false % 182.18/125.46 | % 182.18/125.46 |-The branch is then unsatisfiable % 182.18/125.46 |-Branch two: % 182.18/125.46 | (6128) all_456_0_749 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.46 | % 182.18/125.46 | Applying alpha-rule on (6128) yields: % 182.18/125.46 | (6110) all_456_0_749 = 0 % 182.18/125.46 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.18/125.46 | (532) all_226_1_115 = all_0_9_9 % 182.18/125.46 | % 182.18/125.46 | From (532) and (302) follows: % 182.18/125.46 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.18/125.46 | (233) all_110_0_83 = 0 % 182.18/125.46 | % 182.18/125.46 | Equations (233) can reduce 209 to: % 182.18/125.46 | (173) $false % 182.18/125.46 | % 182.18/125.46 |-The branch is then unsatisfiable % 182.18/125.46 |-Branch two: % 182.18/125.46 | (6003) all_375_0_720 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 182.18/125.46 | % 182.18/125.46 | Applying alpha-rule on (6003) yields: % 182.18/125.46 | (5889) all_375_0_720 = 0 % 182.18/125.46 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 182.18/125.46 | (1890) all_205_2_109 = all_0_5_5 % 182.18/125.46 | % 182.18/125.46 | From (1890) and (296) follows: % 182.18/125.46 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 182.18/125.46 | (288) all_181_0_102 = 0 % 182.18/125.46 | % 182.18/125.46 | Equations (288) can reduce 258 to: % 182.18/125.46 | (173) $false % 182.18/125.46 | % 182.18/125.46 |-The branch is then unsatisfiable % 182.18/125.46 |-Branch two: % 182.18/125.46 | (5883) all_367_0_719 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 182.18/125.46 | % 182.18/125.46 | Applying alpha-rule on (5883) yields: % 182.18/125.46 | (5769) all_367_0_719 = 0 % 182.18/125.46 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 182.18/125.46 | (582) all_226_1_115 = all_0_5_5 % 182.18/125.46 | % 182.18/125.46 | From (582) and (287) follows: % 182.18/125.46 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 182.18/125.46 | (288) all_181_0_102 = 0 % 182.18/125.46 | % 182.18/125.46 | Equations (288) can reduce 258 to: % 182.18/125.46 | (173) $false % 182.18/125.46 | % 182.18/125.46 |-The branch is then unsatisfiable % 182.18/125.46 |-Branch two: % 182.18/125.46 | (737) all_332_0_132 = 0 & mem(all_85_1_76, all_0_3_3) = 0 % 182.18/125.46 | % 182.18/125.46 | Applying alpha-rule on (737) yields: % 182.18/125.46 | (347) all_332_0_132 = 0 % 182.18/125.46 | (739) mem(all_85_1_76, all_0_3_3) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_85_1_76, all_0_3_3) = 0, yields: % 182.18/125.46 | (740) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_6_6) = 0)) % 182.18/125.46 | % 182.18/125.46 | Instantiating (740) with all_391_0_752 yields: % 182.18/125.46 | (6153) (all_391_0_752 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (all_391_0_752 = 0 & mem(all_85_1_76, all_0_6_6) = 0) % 182.18/125.46 | % 182.18/125.46 +-Applying beta-rule and splitting (5730), into two cases. % 182.18/125.46 |-Branch one: % 182.18/125.46 | (5751) all_351_0_717 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 182.18/125.46 | % 182.18/125.46 | Applying alpha-rule on (5751) yields: % 182.18/125.46 | (5752) all_351_0_717 = 0 % 182.18/125.46 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 182.18/125.46 | (359) all_110_1_84 = all_0_3_3 % 182.18/125.46 | % 182.18/125.46 | From (359) and (210) follows: % 182.18/125.46 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 182.18/125.46 | % 182.18/125.46 +-Applying beta-rule and splitting (5735), into two cases. % 182.18/125.46 |-Branch one: % 182.18/125.46 | (5763) all_359_0_718 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 182.18/125.46 | % 182.18/125.46 | Applying alpha-rule on (5763) yields: % 182.18/125.46 | (5764) all_359_0_718 = 0 % 182.18/125.46 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 182.18/125.46 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 182.18/125.46 | % 182.18/125.46 | Instantiating (371) with all_410_0_753 yields: % 182.18/125.46 | (6163) (all_410_0_753 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_410_0_753 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 182.18/125.46 | % 182.18/125.46 +-Applying beta-rule and splitting (5740), into two cases. % 182.18/125.46 |-Branch one: % 182.18/125.46 | (5768) all_367_0_719 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 182.18/125.46 | % 182.18/125.46 | Applying alpha-rule on (5768) yields: % 182.18/125.46 | (5769) all_367_0_719 = 0 % 182.18/125.46 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 182.18/125.46 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 182.18/125.46 | % 182.18/125.46 | Instantiating (479) with all_418_0_754 yields: % 182.18/125.46 | (6168) (all_418_0_754 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_418_0_754 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 182.18/125.46 | % 182.18/125.46 +-Applying beta-rule and splitting (6153), into two cases. % 182.18/125.46 |-Branch one: % 182.18/125.46 | (6169) all_391_0_752 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 182.18/125.46 | % 182.18/125.46 | Applying alpha-rule on (6169) yields: % 182.18/125.46 | (6170) all_391_0_752 = 0 % 182.18/125.46 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 182.18/125.46 | (760) all_85_1_76 = all_0_6_6 % 182.18/125.46 | % 182.18/125.46 | From (760) and (182) follows: % 182.18/125.46 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 182.18/125.46 | % 182.18/125.46 +-Applying beta-rule and splitting (6163), into two cases. % 182.18/125.46 |-Branch one: % 182.18/125.46 | (6174) all_410_0_753 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.46 | % 182.18/125.46 | Applying alpha-rule on (6174) yields: % 182.18/125.46 | (6175) all_410_0_753 = 0 % 182.18/125.46 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.18/125.46 | (393) all_181_1_103 = all_0_3_3 % 182.18/125.46 | % 182.18/125.46 | From (393) and (269) follows: % 182.18/125.46 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.18/125.46 | % 182.18/125.46 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.18/125.46 | (233) all_110_0_83 = 0 % 182.18/125.46 | % 182.18/125.46 | Equations (233) can reduce 209 to: % 182.18/125.46 | (173) $false % 182.18/125.46 | % 182.18/125.46 |-The branch is then unsatisfiable % 182.18/125.46 |-Branch two: % 182.18/125.47 | (6181) all_410_0_753 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6181) yields: % 182.18/125.47 | (6175) all_410_0_753 = 0 % 182.18/125.47 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.18/125.47 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.18/125.47 | % 182.18/125.47 | Instantiating (400) with all_453_0_757 yields: % 182.18/125.47 | (6185) (all_453_0_757 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_757 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.18/125.47 | % 182.18/125.47 +-Applying beta-rule and splitting (6168), into two cases. % 182.18/125.47 |-Branch one: % 182.18/125.47 | (6186) all_418_0_754 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6186) yields: % 182.18/125.47 | (6187) all_418_0_754 = 0 % 182.18/125.47 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.18/125.47 | (501) all_226_1_115 = all_0_3_3 % 182.18/125.47 | % 182.18/125.47 | From (501) and (302) follows: % 182.18/125.47 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.18/125.47 | (233) all_110_0_83 = 0 % 182.18/125.47 | % 182.18/125.47 | Equations (233) can reduce 209 to: % 182.18/125.47 | (173) $false % 182.18/125.47 | % 182.18/125.47 |-The branch is then unsatisfiable % 182.18/125.47 |-Branch two: % 182.18/125.47 | (6193) all_418_0_754 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6193) yields: % 182.18/125.47 | (6187) all_418_0_754 = 0 % 182.18/125.47 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.18/125.47 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.18/125.47 | % 182.18/125.47 | Instantiating (508) with all_461_0_758 yields: % 182.18/125.47 | (6197) (all_461_0_758 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_758 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.18/125.47 | % 182.18/125.47 +-Applying beta-rule and splitting (6185), into two cases. % 182.18/125.47 |-Branch one: % 182.18/125.47 | (6198) all_453_0_757 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6198) yields: % 182.18/125.47 | (6199) all_453_0_757 = 0 % 182.18/125.47 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.18/125.47 | (417) all_181_1_103 = all_0_6_6 % 182.18/125.47 | % 182.18/125.47 | From (417) and (297) follows: % 182.18/125.47 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.18/125.47 | (212) all_85_0_75 = 0 % 182.18/125.47 | % 182.18/125.47 | Equations (212) can reduce 181 to: % 182.18/125.47 | (173) $false % 182.18/125.47 | % 182.18/125.47 |-The branch is then unsatisfiable % 182.18/125.47 |-Branch two: % 182.18/125.47 | (6205) all_453_0_757 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6205) yields: % 182.18/125.47 | (6199) all_453_0_757 = 0 % 182.18/125.47 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.18/125.47 | (424) all_181_1_103 = all_0_9_9 % 182.18/125.47 | % 182.18/125.47 | From (424) and (259) follows: % 182.18/125.47 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 182.18/125.47 | % 182.18/125.47 +-Applying beta-rule and splitting (6197), into two cases. % 182.18/125.47 |-Branch one: % 182.18/125.47 | (6210) all_461_0_758 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6210) yields: % 182.18/125.47 | (6211) all_461_0_758 = 0 % 182.18/125.47 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.18/125.47 | (525) all_226_1_115 = all_0_6_6 % 182.18/125.47 | % 182.18/125.47 | From (525) and (308) follows: % 182.18/125.47 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.18/125.47 | (212) all_85_0_75 = 0 % 182.18/125.47 | % 182.18/125.47 | Equations (212) can reduce 181 to: % 182.18/125.47 | (173) $false % 182.18/125.47 | % 182.18/125.47 |-The branch is then unsatisfiable % 182.18/125.47 |-Branch two: % 182.18/125.47 | (6217) all_461_0_758 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6217) yields: % 182.18/125.47 | (6211) all_461_0_758 = 0 % 182.18/125.47 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.18/125.47 | (532) all_226_1_115 = all_0_9_9 % 182.18/125.47 | % 182.18/125.47 | From (532) and (287) follows: % 182.18/125.47 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 182.18/125.47 | (288) all_181_0_102 = 0 % 182.18/125.47 | % 182.18/125.47 | Equations (288) can reduce 258 to: % 182.18/125.47 | (173) $false % 182.18/125.47 | % 182.18/125.47 |-The branch is then unsatisfiable % 182.18/125.47 |-Branch two: % 182.18/125.47 | (6224) all_391_0_752 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6224) yields: % 182.18/125.47 | (6170) all_391_0_752 = 0 % 182.18/125.47 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 182.18/125.47 | (815) all_85_1_76 = all_0_9_9 % 182.18/125.47 | % 182.18/125.47 | From (815) and (182) follows: % 182.18/125.47 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 182.18/125.47 | % 182.18/125.47 +-Applying beta-rule and splitting (6163), into two cases. % 182.18/125.47 |-Branch one: % 182.18/125.47 | (6174) all_410_0_753 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6174) yields: % 182.18/125.47 | (6175) all_410_0_753 = 0 % 182.18/125.47 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.18/125.47 | (393) all_181_1_103 = all_0_3_3 % 182.18/125.47 | % 182.18/125.47 | From (393) and (269) follows: % 182.18/125.47 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.18/125.47 | (233) all_110_0_83 = 0 % 182.18/125.47 | % 182.18/125.47 | Equations (233) can reduce 209 to: % 182.18/125.47 | (173) $false % 182.18/125.47 | % 182.18/125.47 |-The branch is then unsatisfiable % 182.18/125.47 |-Branch two: % 182.18/125.47 | (6181) all_410_0_753 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.47 | % 182.18/125.47 | Applying alpha-rule on (6181) yields: % 182.18/125.47 | (6175) all_410_0_753 = 0 % 182.18/125.47 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.47 | % 182.18/125.47 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.18/125.47 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.18/125.47 | % 182.18/125.47 | Instantiating (400) with all_453_0_761 yields: % 182.18/125.47 | (6240) (all_453_0_761 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_761 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.18/125.48 | % 182.18/125.48 +-Applying beta-rule and splitting (6168), into two cases. % 182.18/125.48 |-Branch one: % 182.18/125.48 | (6186) all_418_0_754 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (6186) yields: % 182.18/125.48 | (6187) all_418_0_754 = 0 % 182.18/125.48 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.18/125.48 | (501) all_226_1_115 = all_0_3_3 % 182.18/125.48 | % 182.18/125.48 | From (501) and (302) follows: % 182.18/125.48 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.18/125.48 | (233) all_110_0_83 = 0 % 182.18/125.48 | % 182.18/125.48 | Equations (233) can reduce 209 to: % 182.18/125.48 | (173) $false % 182.18/125.48 | % 182.18/125.48 |-The branch is then unsatisfiable % 182.18/125.48 |-Branch two: % 182.18/125.48 | (6193) all_418_0_754 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (6193) yields: % 182.18/125.48 | (6187) all_418_0_754 = 0 % 182.18/125.48 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.18/125.48 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.18/125.48 | % 182.18/125.48 | Instantiating (508) with all_461_0_762 yields: % 182.18/125.48 | (6252) (all_461_0_762 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_762 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.18/125.48 | % 182.18/125.48 +-Applying beta-rule and splitting (6240), into two cases. % 182.18/125.48 |-Branch one: % 182.18/125.48 | (6253) all_453_0_761 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (6253) yields: % 182.18/125.48 | (6254) all_453_0_761 = 0 % 182.18/125.48 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.18/125.48 | (417) all_181_1_103 = all_0_6_6 % 182.18/125.48 | % 182.18/125.48 | From (417) and (259) follows: % 182.18/125.48 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 182.18/125.48 | % 182.18/125.48 +-Applying beta-rule and splitting (6252), into two cases. % 182.18/125.48 |-Branch one: % 182.18/125.48 | (6258) all_461_0_762 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (6258) yields: % 182.18/125.48 | (6259) all_461_0_762 = 0 % 182.18/125.48 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.18/125.48 | (525) all_226_1_115 = all_0_6_6 % 182.18/125.48 | % 182.18/125.48 | From (525) and (287) follows: % 182.18/125.48 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 182.18/125.48 | (288) all_181_0_102 = 0 % 182.18/125.48 | % 182.18/125.48 | Equations (288) can reduce 258 to: % 182.18/125.48 | (173) $false % 182.18/125.48 | % 182.18/125.48 |-The branch is then unsatisfiable % 182.18/125.48 |-Branch two: % 182.18/125.48 | (6265) all_461_0_762 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (6265) yields: % 182.18/125.48 | (6259) all_461_0_762 = 0 % 182.18/125.48 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.18/125.48 | (532) all_226_1_115 = all_0_9_9 % 182.18/125.48 | % 182.18/125.48 | From (532) and (308) follows: % 182.18/125.48 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.18/125.48 | (212) all_85_0_75 = 0 % 182.18/125.48 | % 182.18/125.48 | Equations (212) can reduce 181 to: % 182.18/125.48 | (173) $false % 182.18/125.48 | % 182.18/125.48 |-The branch is then unsatisfiable % 182.18/125.48 |-Branch two: % 182.18/125.48 | (6272) all_453_0_761 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (6272) yields: % 182.18/125.48 | (6254) all_453_0_761 = 0 % 182.18/125.48 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.18/125.48 | (424) all_181_1_103 = all_0_9_9 % 182.18/125.48 | % 182.18/125.48 | From (424) and (297) follows: % 182.18/125.48 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.18/125.48 | (212) all_85_0_75 = 0 % 182.18/125.48 | % 182.18/125.48 | Equations (212) can reduce 181 to: % 182.18/125.48 | (173) $false % 182.18/125.48 | % 182.18/125.48 |-The branch is then unsatisfiable % 182.18/125.48 |-Branch two: % 182.18/125.48 | (5883) all_367_0_719 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (5883) yields: % 182.18/125.48 | (5769) all_367_0_719 = 0 % 182.18/125.48 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 182.18/125.48 | (582) all_226_1_115 = all_0_5_5 % 182.18/125.48 | % 182.18/125.48 | From (582) and (286) follows: % 182.18/125.48 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 182.18/125.48 | % 182.18/125.48 +-Applying beta-rule and splitting (5745), into two cases. % 182.18/125.48 |-Branch one: % 182.18/125.48 | (5888) all_375_0_720 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (5888) yields: % 182.18/125.48 | (5889) all_375_0_720 = 0 % 182.18/125.48 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 182.18/125.48 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 182.18/125.48 | % 182.18/125.48 | Instantiating (1787) with all_429_0_765 yields: % 182.18/125.48 | (6288) (all_429_0_765 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_765 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 182.18/125.48 | % 182.18/125.48 +-Applying beta-rule and splitting (6153), into two cases. % 182.18/125.48 |-Branch one: % 182.18/125.48 | (6169) all_391_0_752 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (6169) yields: % 182.18/125.48 | (6170) all_391_0_752 = 0 % 182.18/125.48 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 182.18/125.48 | % 182.18/125.48 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 182.18/125.48 | (760) all_85_1_76 = all_0_6_6 % 182.18/125.48 | % 182.18/125.48 | From (760) and (182) follows: % 182.18/125.48 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 182.18/125.48 | % 182.18/125.48 +-Applying beta-rule and splitting (6163), into two cases. % 182.18/125.48 |-Branch one: % 182.18/125.48 | (6174) all_410_0_753 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.48 | % 182.18/125.48 | Applying alpha-rule on (6174) yields: % 182.18/125.49 | (6175) all_410_0_753 = 0 % 182.18/125.49 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.18/125.49 | % 182.18/125.49 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.18/125.49 | (393) all_181_1_103 = all_0_3_3 % 182.18/125.49 | % 182.18/125.49 | From (393) and (269) follows: % 182.18/125.49 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.18/125.49 | % 182.18/125.49 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.18/125.49 | (233) all_110_0_83 = 0 % 182.18/125.49 | % 182.18/125.49 | Equations (233) can reduce 209 to: % 182.18/125.49 | (173) $false % 182.18/125.49 | % 182.18/125.49 |-The branch is then unsatisfiable % 182.18/125.49 |-Branch two: % 182.18/125.49 | (6181) all_410_0_753 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.49 | % 182.18/125.49 | Applying alpha-rule on (6181) yields: % 182.18/125.49 | (6175) all_410_0_753 = 0 % 182.18/125.49 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.18/125.49 | % 182.18/125.49 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.18/125.49 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.18/125.49 | % 182.18/125.49 | Instantiating (400) with all_456_0_767 yields: % 182.18/125.49 | (6305) (all_456_0_767 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_767 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.18/125.49 | % 182.18/125.49 +-Applying beta-rule and splitting (6288), into two cases. % 182.18/125.49 |-Branch one: % 182.47/125.49 | (6306) all_429_0_765 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.49 | % 182.47/125.49 | Applying alpha-rule on (6306) yields: % 182.47/125.49 | (6307) all_429_0_765 = 0 % 182.47/125.49 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.47/125.49 | (1809) all_205_2_109 = all_0_3_3 % 182.47/125.49 | % 182.47/125.49 | From (1809) and (309) follows: % 182.47/125.49 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.47/125.49 | (233) all_110_0_83 = 0 % 182.47/125.49 | % 182.47/125.49 | Equations (233) can reduce 209 to: % 182.47/125.49 | (173) $false % 182.47/125.49 | % 182.47/125.49 |-The branch is then unsatisfiable % 182.47/125.49 |-Branch two: % 182.47/125.49 | (6313) all_429_0_765 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.49 | % 182.47/125.49 | Applying alpha-rule on (6313) yields: % 182.47/125.49 | (6307) all_429_0_765 = 0 % 182.47/125.49 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.47/125.49 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.47/125.49 | % 182.47/125.49 | Instantiating (1816) with all_464_0_768 yields: % 182.47/125.49 | (6317) (all_464_0_768 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_768 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.47/125.49 | % 182.47/125.49 +-Applying beta-rule and splitting (6305), into two cases. % 182.47/125.49 |-Branch one: % 182.47/125.49 | (6318) all_456_0_767 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.49 | % 182.47/125.49 | Applying alpha-rule on (6318) yields: % 182.47/125.49 | (6319) all_456_0_767 = 0 % 182.47/125.49 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.47/125.49 | (417) all_181_1_103 = all_0_6_6 % 182.47/125.49 | % 182.47/125.49 | From (417) and (297) follows: % 182.47/125.49 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.49 | (212) all_85_0_75 = 0 % 182.47/125.49 | % 182.47/125.49 | Equations (212) can reduce 181 to: % 182.47/125.49 | (173) $false % 182.47/125.49 | % 182.47/125.49 |-The branch is then unsatisfiable % 182.47/125.49 |-Branch two: % 182.47/125.49 | (6325) all_456_0_767 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.49 | % 182.47/125.49 | Applying alpha-rule on (6325) yields: % 182.47/125.49 | (6319) all_456_0_767 = 0 % 182.47/125.49 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.47/125.49 | (424) all_181_1_103 = all_0_9_9 % 182.47/125.49 | % 182.47/125.49 | From (424) and (259) follows: % 182.47/125.49 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 182.47/125.49 | % 182.47/125.49 +-Applying beta-rule and splitting (6317), into two cases. % 182.47/125.49 |-Branch one: % 182.47/125.49 | (6330) all_464_0_768 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.49 | % 182.47/125.49 | Applying alpha-rule on (6330) yields: % 182.47/125.49 | (6331) all_464_0_768 = 0 % 182.47/125.49 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.47/125.49 | (1833) all_205_2_109 = all_0_6_6 % 182.47/125.49 | % 182.47/125.49 | From (1833) and (315) follows: % 182.47/125.49 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.49 | (212) all_85_0_75 = 0 % 182.47/125.49 | % 182.47/125.49 | Equations (212) can reduce 181 to: % 182.47/125.49 | (173) $false % 182.47/125.49 | % 182.47/125.49 |-The branch is then unsatisfiable % 182.47/125.49 |-Branch two: % 182.47/125.49 | (6337) all_464_0_768 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.49 | % 182.47/125.49 | Applying alpha-rule on (6337) yields: % 182.47/125.49 | (6331) all_464_0_768 = 0 % 182.47/125.49 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.47/125.49 | (1840) all_205_2_109 = all_0_9_9 % 182.47/125.49 | % 182.47/125.49 | From (1840) and (296) follows: % 182.47/125.49 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 182.47/125.49 | (288) all_181_0_102 = 0 % 182.47/125.49 | % 182.47/125.49 | Equations (288) can reduce 258 to: % 182.47/125.49 | (173) $false % 182.47/125.49 | % 182.47/125.49 |-The branch is then unsatisfiable % 182.47/125.49 |-Branch two: % 182.47/125.49 | (6224) all_391_0_752 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 182.47/125.49 | % 182.47/125.49 | Applying alpha-rule on (6224) yields: % 182.47/125.49 | (6170) all_391_0_752 = 0 % 182.47/125.49 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 182.47/125.49 | (815) all_85_1_76 = all_0_9_9 % 182.47/125.49 | % 182.47/125.49 | From (815) and (182) follows: % 182.47/125.49 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 182.47/125.49 | % 182.47/125.49 +-Applying beta-rule and splitting (6163), into two cases. % 182.47/125.49 |-Branch one: % 182.47/125.49 | (6174) all_410_0_753 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.49 | % 182.47/125.49 | Applying alpha-rule on (6174) yields: % 182.47/125.49 | (6175) all_410_0_753 = 0 % 182.47/125.49 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.47/125.49 | (393) all_181_1_103 = all_0_3_3 % 182.47/125.49 | % 182.47/125.49 | From (393) and (269) follows: % 182.47/125.49 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.47/125.49 | % 182.47/125.49 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.47/125.49 | (233) all_110_0_83 = 0 % 182.47/125.49 | % 182.47/125.49 | Equations (233) can reduce 209 to: % 182.47/125.49 | (173) $false % 182.47/125.50 | % 182.47/125.50 |-The branch is then unsatisfiable % 182.47/125.50 |-Branch two: % 182.47/125.50 | (6181) all_410_0_753 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.47/125.50 | % 182.47/125.50 | Applying alpha-rule on (6181) yields: % 182.47/125.50 | (6175) all_410_0_753 = 0 % 182.47/125.50 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.47/125.50 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.47/125.50 | % 182.47/125.50 | Instantiating (400) with all_456_0_770 yields: % 182.47/125.50 | (6360) (all_456_0_770 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_770 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.47/125.50 | % 182.47/125.50 +-Applying beta-rule and splitting (6288), into two cases. % 182.47/125.50 |-Branch one: % 182.47/125.50 | (6306) all_429_0_765 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.50 | % 182.47/125.50 | Applying alpha-rule on (6306) yields: % 182.47/125.50 | (6307) all_429_0_765 = 0 % 182.47/125.50 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.47/125.50 | (1809) all_205_2_109 = all_0_3_3 % 182.47/125.50 | % 182.47/125.50 | From (1809) and (309) follows: % 182.47/125.50 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.47/125.50 | (233) all_110_0_83 = 0 % 182.47/125.50 | % 182.47/125.50 | Equations (233) can reduce 209 to: % 182.47/125.50 | (173) $false % 182.47/125.50 | % 182.47/125.50 |-The branch is then unsatisfiable % 182.47/125.50 |-Branch two: % 182.47/125.50 | (6313) all_429_0_765 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.50 | % 182.47/125.50 | Applying alpha-rule on (6313) yields: % 182.47/125.50 | (6307) all_429_0_765 = 0 % 182.47/125.50 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.47/125.50 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.47/125.50 | % 182.47/125.50 | Instantiating (1816) with all_464_0_771 yields: % 182.47/125.50 | (6372) (all_464_0_771 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_771 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.47/125.50 | % 182.47/125.50 +-Applying beta-rule and splitting (6360), into two cases. % 182.47/125.50 |-Branch one: % 182.47/125.50 | (6373) all_456_0_770 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.50 | % 182.47/125.50 | Applying alpha-rule on (6373) yields: % 182.47/125.50 | (6374) all_456_0_770 = 0 % 182.47/125.50 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.47/125.50 | (417) all_181_1_103 = all_0_6_6 % 182.47/125.50 | % 182.47/125.50 | From (417) and (259) follows: % 182.47/125.50 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 182.47/125.50 | % 182.47/125.50 +-Applying beta-rule and splitting (6372), into two cases. % 182.47/125.50 |-Branch one: % 182.47/125.50 | (6378) all_464_0_771 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.50 | % 182.47/125.50 | Applying alpha-rule on (6378) yields: % 182.47/125.50 | (6379) all_464_0_771 = 0 % 182.47/125.50 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.47/125.50 | (1833) all_205_2_109 = all_0_6_6 % 182.47/125.50 | % 182.47/125.50 | From (1833) and (296) follows: % 182.47/125.50 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 182.47/125.50 | (288) all_181_0_102 = 0 % 182.47/125.50 | % 182.47/125.50 | Equations (288) can reduce 258 to: % 182.47/125.50 | (173) $false % 182.47/125.50 | % 182.47/125.50 |-The branch is then unsatisfiable % 182.47/125.50 |-Branch two: % 182.47/125.50 | (6385) all_464_0_771 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.50 | % 182.47/125.50 | Applying alpha-rule on (6385) yields: % 182.47/125.50 | (6379) all_464_0_771 = 0 % 182.47/125.50 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.47/125.50 | (1840) all_205_2_109 = all_0_9_9 % 182.47/125.50 | % 182.47/125.50 | From (1840) and (315) follows: % 182.47/125.50 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.47/125.50 | (212) all_85_0_75 = 0 % 182.47/125.50 | % 182.47/125.50 | Equations (212) can reduce 181 to: % 182.47/125.50 | (173) $false % 182.47/125.50 | % 182.47/125.50 |-The branch is then unsatisfiable % 182.47/125.50 |-Branch two: % 182.47/125.50 | (6392) all_456_0_770 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.50 | % 182.47/125.50 | Applying alpha-rule on (6392) yields: % 182.47/125.50 | (6374) all_456_0_770 = 0 % 182.47/125.50 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.47/125.50 | (424) all_181_1_103 = all_0_9_9 % 182.47/125.50 | % 182.47/125.50 | From (424) and (297) follows: % 182.47/125.50 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.47/125.50 | (212) all_85_0_75 = 0 % 182.47/125.50 | % 182.47/125.50 | Equations (212) can reduce 181 to: % 182.47/125.50 | (173) $false % 182.47/125.50 | % 182.47/125.50 |-The branch is then unsatisfiable % 182.47/125.50 |-Branch two: % 182.47/125.50 | (6003) all_375_0_720 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 182.47/125.50 | % 182.47/125.50 | Applying alpha-rule on (6003) yields: % 182.47/125.50 | (5889) all_375_0_720 = 0 % 182.47/125.50 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 182.47/125.50 | (1890) all_205_2_109 = all_0_5_5 % 182.47/125.50 | % 182.47/125.50 | From (1890) and (275) follows: % 182.47/125.50 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 182.47/125.50 | % 182.47/125.50 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 182.47/125.50 | (2957) all_226_0_114 = 0 % 182.47/125.50 | % 182.47/125.50 | Equations (2957) can reduce 285 to: % 182.47/125.50 | (173) $false % 182.47/125.50 | % 182.47/125.50 |-The branch is then unsatisfiable % 182.47/125.50 |-Branch two: % 182.47/125.51 | (6010) all_359_0_718 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (6010) yields: % 182.47/125.51 | (5764) all_359_0_718 = 0 % 182.47/125.51 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 182.47/125.51 | (474) all_181_1_103 = all_0_5_5 % 182.47/125.51 | % 182.47/125.51 | From (474) and (259) follows: % 182.47/125.51 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 182.47/125.51 | % 182.47/125.51 +-Applying beta-rule and splitting (5740), into two cases. % 182.47/125.51 |-Branch one: % 182.47/125.51 | (5768) all_367_0_719 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (5768) yields: % 182.47/125.51 | (5769) all_367_0_719 = 0 % 182.47/125.51 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 182.47/125.51 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 182.47/125.51 | % 182.47/125.51 | Instantiating (479) with all_421_0_773 yields: % 182.47/125.51 | (6415) (all_421_0_773 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_421_0_773 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 182.47/125.51 | % 182.47/125.51 +-Applying beta-rule and splitting (5745), into two cases. % 182.47/125.51 |-Branch one: % 182.47/125.51 | (5888) all_375_0_720 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (5888) yields: % 182.47/125.51 | (5889) all_375_0_720 = 0 % 182.47/125.51 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 182.47/125.51 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 182.47/125.51 | % 182.47/125.51 | Instantiating (1787) with all_429_0_774 yields: % 182.47/125.51 | (6420) (all_429_0_774 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_429_0_774 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 182.47/125.51 | % 182.47/125.51 +-Applying beta-rule and splitting (6153), into two cases. % 182.47/125.51 |-Branch one: % 182.47/125.51 | (6169) all_391_0_752 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (6169) yields: % 182.47/125.51 | (6170) all_391_0_752 = 0 % 182.47/125.51 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 182.47/125.51 | (760) all_85_1_76 = all_0_6_6 % 182.47/125.51 | % 182.47/125.51 | From (760) and (182) follows: % 182.47/125.51 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 182.47/125.51 | % 182.47/125.51 +-Applying beta-rule and splitting (6415), into two cases. % 182.47/125.51 |-Branch one: % 182.47/125.51 | (6426) all_421_0_773 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (6426) yields: % 182.47/125.51 | (6427) all_421_0_773 = 0 % 182.47/125.51 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.47/125.51 | (501) all_226_1_115 = all_0_3_3 % 182.47/125.51 | % 182.47/125.51 | From (501) and (302) follows: % 182.47/125.51 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.47/125.51 | (233) all_110_0_83 = 0 % 182.47/125.51 | % 182.47/125.51 | Equations (233) can reduce 209 to: % 182.47/125.51 | (173) $false % 182.47/125.51 | % 182.47/125.51 |-The branch is then unsatisfiable % 182.47/125.51 |-Branch two: % 182.47/125.51 | (6433) all_421_0_773 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (6433) yields: % 182.47/125.51 | (6427) all_421_0_773 = 0 % 182.47/125.51 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.47/125.51 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.47/125.51 | % 182.47/125.51 | Instantiating (508) with all_456_0_776 yields: % 182.47/125.51 | (6437) (all_456_0_776 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_776 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.47/125.51 | % 182.47/125.51 +-Applying beta-rule and splitting (6420), into two cases. % 182.47/125.51 |-Branch one: % 182.47/125.51 | (6438) all_429_0_774 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (6438) yields: % 182.47/125.51 | (6439) all_429_0_774 = 0 % 182.47/125.51 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.47/125.51 | (1809) all_205_2_109 = all_0_3_3 % 182.47/125.51 | % 182.47/125.51 | From (1809) and (309) follows: % 182.47/125.51 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.47/125.51 | (233) all_110_0_83 = 0 % 182.47/125.51 | % 182.47/125.51 | Equations (233) can reduce 209 to: % 182.47/125.51 | (173) $false % 182.47/125.51 | % 182.47/125.51 |-The branch is then unsatisfiable % 182.47/125.51 |-Branch two: % 182.47/125.51 | (6445) all_429_0_774 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (6445) yields: % 182.47/125.51 | (6439) all_429_0_774 = 0 % 182.47/125.51 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.47/125.51 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.47/125.51 | % 182.47/125.51 | Instantiating (1816) with all_464_0_777 yields: % 182.47/125.51 | (6449) (all_464_0_777 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_777 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.47/125.51 | % 182.47/125.51 +-Applying beta-rule and splitting (6437), into two cases. % 182.47/125.51 |-Branch one: % 182.47/125.51 | (6450) all_456_0_776 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (6450) yields: % 182.47/125.51 | (6451) all_456_0_776 = 0 % 182.47/125.51 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.47/125.51 | (525) all_226_1_115 = all_0_6_6 % 182.47/125.51 | % 182.47/125.51 | From (525) and (308) follows: % 182.47/125.51 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.51 | (212) all_85_0_75 = 0 % 182.47/125.51 | % 182.47/125.51 | Equations (212) can reduce 181 to: % 182.47/125.51 | (173) $false % 182.47/125.51 | % 182.47/125.51 |-The branch is then unsatisfiable % 182.47/125.51 |-Branch two: % 182.47/125.51 | (6457) all_456_0_776 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.47/125.51 | % 182.47/125.51 | Applying alpha-rule on (6457) yields: % 182.47/125.51 | (6451) all_456_0_776 = 0 % 182.47/125.51 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.47/125.51 | % 182.47/125.51 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.47/125.51 | (532) all_226_1_115 = all_0_9_9 % 182.47/125.51 | % 182.47/125.51 | From (532) and (286) follows: % 182.47/125.51 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 182.47/125.51 | % 182.47/125.51 +-Applying beta-rule and splitting (6449), into two cases. % 182.47/125.51 |-Branch one: % 182.47/125.52 | (6462) all_464_0_777 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.52 | % 182.47/125.52 | Applying alpha-rule on (6462) yields: % 182.47/125.52 | (6463) all_464_0_777 = 0 % 182.47/125.52 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.47/125.52 | (1833) all_205_2_109 = all_0_6_6 % 182.47/125.52 | % 182.47/125.52 | From (1833) and (315) follows: % 182.47/125.52 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.52 | (212) all_85_0_75 = 0 % 182.47/125.52 | % 182.47/125.52 | Equations (212) can reduce 181 to: % 182.47/125.52 | (173) $false % 182.47/125.52 | % 182.47/125.52 |-The branch is then unsatisfiable % 182.47/125.52 |-Branch two: % 182.47/125.52 | (6469) all_464_0_777 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.52 | % 182.47/125.52 | Applying alpha-rule on (6469) yields: % 182.47/125.52 | (6463) all_464_0_777 = 0 % 182.47/125.52 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.47/125.52 | (1840) all_205_2_109 = all_0_9_9 % 182.47/125.52 | % 182.47/125.52 | From (1840) and (275) follows: % 182.47/125.52 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 182.47/125.52 | (2957) all_226_0_114 = 0 % 182.47/125.52 | % 182.47/125.52 | Equations (2957) can reduce 285 to: % 182.47/125.52 | (173) $false % 182.47/125.52 | % 182.47/125.52 |-The branch is then unsatisfiable % 182.47/125.52 |-Branch two: % 182.47/125.52 | (6224) all_391_0_752 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 182.47/125.52 | % 182.47/125.52 | Applying alpha-rule on (6224) yields: % 182.47/125.52 | (6170) all_391_0_752 = 0 % 182.47/125.52 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 182.47/125.52 | (815) all_85_1_76 = all_0_9_9 % 182.47/125.52 | % 182.47/125.52 | From (815) and (182) follows: % 182.47/125.52 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 182.47/125.52 | % 182.47/125.52 +-Applying beta-rule and splitting (6415), into two cases. % 182.47/125.52 |-Branch one: % 182.47/125.52 | (6426) all_421_0_773 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.47/125.52 | % 182.47/125.52 | Applying alpha-rule on (6426) yields: % 182.47/125.52 | (6427) all_421_0_773 = 0 % 182.47/125.52 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.47/125.52 | (501) all_226_1_115 = all_0_3_3 % 182.47/125.52 | % 182.47/125.52 | From (501) and (302) follows: % 182.47/125.52 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.47/125.52 | (233) all_110_0_83 = 0 % 182.47/125.52 | % 182.47/125.52 | Equations (233) can reduce 209 to: % 182.47/125.52 | (173) $false % 182.47/125.52 | % 182.47/125.52 |-The branch is then unsatisfiable % 182.47/125.52 |-Branch two: % 182.47/125.52 | (6433) all_421_0_773 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.47/125.52 | % 182.47/125.52 | Applying alpha-rule on (6433) yields: % 182.47/125.52 | (6427) all_421_0_773 = 0 % 182.47/125.52 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.47/125.52 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.47/125.52 | % 182.47/125.52 | Instantiating (508) with all_456_0_779 yields: % 182.47/125.52 | (6492) (all_456_0_779 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_779 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.47/125.52 | % 182.47/125.52 +-Applying beta-rule and splitting (6420), into two cases. % 182.47/125.52 |-Branch one: % 182.47/125.52 | (6438) all_429_0_774 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.52 | % 182.47/125.52 | Applying alpha-rule on (6438) yields: % 182.47/125.52 | (6439) all_429_0_774 = 0 % 182.47/125.52 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.47/125.52 | (1809) all_205_2_109 = all_0_3_3 % 182.47/125.52 | % 182.47/125.52 | From (1809) and (309) follows: % 182.47/125.52 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 182.47/125.52 | (233) all_110_0_83 = 0 % 182.47/125.52 | % 182.47/125.52 | Equations (233) can reduce 209 to: % 182.47/125.52 | (173) $false % 182.47/125.52 | % 182.47/125.52 |-The branch is then unsatisfiable % 182.47/125.52 |-Branch two: % 182.47/125.52 | (6445) all_429_0_774 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.52 | % 182.47/125.52 | Applying alpha-rule on (6445) yields: % 182.47/125.52 | (6439) all_429_0_774 = 0 % 182.47/125.52 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.47/125.52 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.47/125.52 | % 182.47/125.52 | Instantiating (1816) with all_464_0_780 yields: % 182.47/125.52 | (6504) (all_464_0_780 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_780 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.47/125.52 | % 182.47/125.52 +-Applying beta-rule and splitting (6492), into two cases. % 182.47/125.52 |-Branch one: % 182.47/125.52 | (6505) all_456_0_779 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.47/125.52 | % 182.47/125.52 | Applying alpha-rule on (6505) yields: % 182.47/125.52 | (6506) all_456_0_779 = 0 % 182.47/125.52 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.47/125.52 | (525) all_226_1_115 = all_0_6_6 % 182.47/125.52 | % 182.47/125.52 | From (525) and (286) follows: % 182.47/125.52 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 182.47/125.52 | % 182.47/125.52 +-Applying beta-rule and splitting (6504), into two cases. % 182.47/125.52 |-Branch one: % 182.47/125.52 | (6510) all_464_0_780 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.52 | % 182.47/125.52 | Applying alpha-rule on (6510) yields: % 182.47/125.52 | (6511) all_464_0_780 = 0 % 182.47/125.52 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.52 | % 182.47/125.52 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.47/125.52 | (1833) all_205_2_109 = all_0_6_6 % 182.47/125.52 | % 182.47/125.52 | From (1833) and (275) follows: % 182.47/125.53 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 182.47/125.53 | (2957) all_226_0_114 = 0 % 182.47/125.53 | % 182.47/125.53 | Equations (2957) can reduce 285 to: % 182.47/125.53 | (173) $false % 182.47/125.53 | % 182.47/125.53 |-The branch is then unsatisfiable % 182.47/125.53 |-Branch two: % 182.47/125.53 | (6517) all_464_0_780 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.53 | % 182.47/125.53 | Applying alpha-rule on (6517) yields: % 182.47/125.53 | (6511) all_464_0_780 = 0 % 182.47/125.53 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.47/125.53 | (1840) all_205_2_109 = all_0_9_9 % 182.47/125.53 | % 182.47/125.53 | From (1840) and (315) follows: % 182.47/125.53 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.47/125.53 | (212) all_85_0_75 = 0 % 182.47/125.53 | % 182.47/125.53 | Equations (212) can reduce 181 to: % 182.47/125.53 | (173) $false % 182.47/125.53 | % 182.47/125.53 |-The branch is then unsatisfiable % 182.47/125.53 |-Branch two: % 182.47/125.53 | (6524) all_456_0_779 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.47/125.53 | % 182.47/125.53 | Applying alpha-rule on (6524) yields: % 182.47/125.53 | (6506) all_456_0_779 = 0 % 182.47/125.53 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.47/125.53 | (532) all_226_1_115 = all_0_9_9 % 182.47/125.53 | % 182.47/125.53 | From (532) and (308) follows: % 182.47/125.53 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.47/125.53 | (212) all_85_0_75 = 0 % 182.47/125.53 | % 182.47/125.53 | Equations (212) can reduce 181 to: % 182.47/125.53 | (173) $false % 182.47/125.53 | % 182.47/125.53 |-The branch is then unsatisfiable % 182.47/125.53 |-Branch two: % 182.47/125.53 | (6003) all_375_0_720 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 182.47/125.53 | % 182.47/125.53 | Applying alpha-rule on (6003) yields: % 182.47/125.53 | (5889) all_375_0_720 = 0 % 182.47/125.53 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 182.47/125.53 | (1890) all_205_2_109 = all_0_5_5 % 182.47/125.53 | % 182.47/125.53 | From (1890) and (296) follows: % 182.47/125.53 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 182.47/125.53 | (288) all_181_0_102 = 0 % 182.47/125.53 | % 182.47/125.53 | Equations (288) can reduce 258 to: % 182.47/125.53 | (173) $false % 182.47/125.53 | % 182.47/125.53 |-The branch is then unsatisfiable % 182.47/125.53 |-Branch two: % 182.47/125.53 | (5883) all_367_0_719 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 182.47/125.53 | % 182.47/125.53 | Applying alpha-rule on (5883) yields: % 182.47/125.53 | (5769) all_367_0_719 = 0 % 182.47/125.53 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 182.47/125.53 | (582) all_226_1_115 = all_0_5_5 % 182.47/125.53 | % 182.47/125.53 | From (582) and (287) follows: % 182.47/125.53 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 182.47/125.53 | (288) all_181_0_102 = 0 % 182.47/125.53 | % 182.47/125.53 | Equations (288) can reduce 258 to: % 182.47/125.53 | (173) $false % 182.47/125.53 | % 182.47/125.53 |-The branch is then unsatisfiable % 182.47/125.53 |-Branch two: % 182.47/125.53 | (5758) all_351_0_717 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 182.47/125.53 | % 182.47/125.53 | Applying alpha-rule on (5758) yields: % 182.47/125.53 | (5752) all_351_0_717 = 0 % 182.47/125.53 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 182.47/125.53 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 182.47/125.53 | % 182.47/125.53 | Instantiating (366) with all_399_0_782 yields: % 182.47/125.53 | (6549) (all_399_0_782 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_399_0_782 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 182.47/125.53 | % 182.47/125.53 +-Applying beta-rule and splitting (5735), into two cases. % 182.47/125.53 |-Branch one: % 182.47/125.53 | (5763) all_359_0_718 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 182.47/125.53 | % 182.47/125.53 | Applying alpha-rule on (5763) yields: % 182.47/125.53 | (5764) all_359_0_718 = 0 % 182.47/125.53 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 182.47/125.53 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 182.47/125.53 | % 182.47/125.53 | Instantiating (371) with all_407_0_783 yields: % 182.47/125.53 | (6554) (all_407_0_783 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_407_0_783 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 182.47/125.53 | % 182.47/125.53 +-Applying beta-rule and splitting (5740), into two cases. % 182.47/125.53 |-Branch one: % 182.47/125.53 | (5768) all_367_0_719 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 182.47/125.53 | % 182.47/125.53 | Applying alpha-rule on (5768) yields: % 182.47/125.53 | (5769) all_367_0_719 = 0 % 182.47/125.53 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 182.47/125.53 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 182.47/125.53 | % 182.47/125.53 | Instantiating (479) with all_415_0_784 yields: % 182.47/125.53 | (6559) (all_415_0_784 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_415_0_784 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 182.47/125.53 | % 182.47/125.53 +-Applying beta-rule and splitting (6153), into two cases. % 182.47/125.53 |-Branch one: % 182.47/125.53 | (6169) all_391_0_752 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 182.47/125.53 | % 182.47/125.53 | Applying alpha-rule on (6169) yields: % 182.47/125.53 | (6170) all_391_0_752 = 0 % 182.47/125.53 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 182.47/125.53 | % 182.47/125.53 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 182.47/125.53 | (760) all_85_1_76 = all_0_6_6 % 182.47/125.53 | % 182.47/125.53 | From (760) and (182) follows: % 182.47/125.53 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 182.47/125.53 | % 182.47/125.53 +-Applying beta-rule and splitting (6549), into two cases. % 182.47/125.53 |-Branch one: % 182.47/125.53 | (6565) all_399_0_782 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 182.47/125.53 | % 182.47/125.54 | Applying alpha-rule on (6565) yields: % 182.47/125.54 | (6566) all_399_0_782 = 0 % 182.47/125.54 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 182.47/125.54 | (388) all_110_1_84 = all_0_6_6 % 182.47/125.54 | % 182.47/125.54 | From (388) and (211) follows: % 182.47/125.54 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.54 | (212) all_85_0_75 = 0 % 182.47/125.54 | % 182.47/125.54 | Equations (212) can reduce 181 to: % 182.47/125.54 | (173) $false % 182.47/125.54 | % 182.47/125.54 |-The branch is then unsatisfiable % 182.47/125.54 |-Branch two: % 182.47/125.54 | (6572) all_399_0_782 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 182.47/125.54 | % 182.47/125.54 | Applying alpha-rule on (6572) yields: % 182.47/125.54 | (6566) all_399_0_782 = 0 % 182.47/125.54 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 182.47/125.54 | (431) all_110_1_84 = all_0_9_9 % 182.47/125.54 | % 182.47/125.54 | From (431) and (210) follows: % 182.47/125.54 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 182.47/125.54 | % 182.47/125.54 +-Applying beta-rule and splitting (6554), into two cases. % 182.47/125.54 |-Branch one: % 182.47/125.54 | (6577) all_407_0_783 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.54 | % 182.47/125.54 | Applying alpha-rule on (6577) yields: % 182.47/125.54 | (6578) all_407_0_783 = 0 % 182.47/125.54 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.47/125.54 | (393) all_181_1_103 = all_0_3_3 % 182.47/125.54 | % 182.47/125.54 | From (393) and (259) follows: % 182.47/125.54 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 182.47/125.54 | % 182.47/125.54 +-Applying beta-rule and splitting (6559), into two cases. % 182.47/125.54 |-Branch one: % 182.47/125.54 | (6582) all_415_0_784 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.47/125.54 | % 182.47/125.54 | Applying alpha-rule on (6582) yields: % 182.47/125.54 | (6583) all_415_0_784 = 0 % 182.47/125.54 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.47/125.54 | (501) all_226_1_115 = all_0_3_3 % 182.47/125.54 | % 182.47/125.54 | From (501) and (287) follows: % 182.47/125.54 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 182.47/125.54 | (288) all_181_0_102 = 0 % 182.47/125.54 | % 182.47/125.54 | Equations (288) can reduce 258 to: % 182.47/125.54 | (173) $false % 182.47/125.54 | % 182.47/125.54 |-The branch is then unsatisfiable % 182.47/125.54 |-Branch two: % 182.47/125.54 | (6589) all_415_0_784 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.47/125.54 | % 182.47/125.54 | Applying alpha-rule on (6589) yields: % 182.47/125.54 | (6583) all_415_0_784 = 0 % 182.47/125.54 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.47/125.54 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.47/125.54 | % 182.47/125.54 | Instantiating (508) with all_472_0_787 yields: % 182.47/125.54 | (6593) (all_472_0_787 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_472_0_787 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.47/125.54 | % 182.47/125.54 +-Applying beta-rule and splitting (6593), into two cases. % 182.47/125.54 |-Branch one: % 182.47/125.54 | (6594) all_472_0_787 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.47/125.54 | % 182.47/125.54 | Applying alpha-rule on (6594) yields: % 182.47/125.54 | (6595) all_472_0_787 = 0 % 182.47/125.54 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.47/125.54 | (525) all_226_1_115 = all_0_6_6 % 182.47/125.54 | % 182.47/125.54 | From (525) and (308) follows: % 182.47/125.54 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.54 | (212) all_85_0_75 = 0 % 182.47/125.54 | % 182.47/125.54 | Equations (212) can reduce 181 to: % 182.47/125.54 | (173) $false % 182.47/125.54 | % 182.47/125.54 |-The branch is then unsatisfiable % 182.47/125.54 |-Branch two: % 182.47/125.54 | (6601) all_472_0_787 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.47/125.54 | % 182.47/125.54 | Applying alpha-rule on (6601) yields: % 182.47/125.54 | (6595) all_472_0_787 = 0 % 182.47/125.54 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.47/125.54 | (532) all_226_1_115 = all_0_9_9 % 182.47/125.54 | % 182.47/125.54 | From (532) and (302) follows: % 182.47/125.54 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.47/125.54 | (233) all_110_0_83 = 0 % 182.47/125.54 | % 182.47/125.54 | Equations (233) can reduce 209 to: % 182.47/125.54 | (173) $false % 182.47/125.54 | % 182.47/125.54 |-The branch is then unsatisfiable % 182.47/125.54 |-Branch two: % 182.47/125.54 | (6608) all_407_0_783 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.47/125.54 | % 182.47/125.54 | Applying alpha-rule on (6608) yields: % 182.47/125.54 | (6578) all_407_0_783 = 0 % 182.47/125.54 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.47/125.54 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.47/125.54 | % 182.47/125.54 | Instantiating (400) with all_461_0_790 yields: % 182.47/125.54 | (6612) (all_461_0_790 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_790 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.47/125.54 | % 182.47/125.54 +-Applying beta-rule and splitting (6612), into two cases. % 182.47/125.54 |-Branch one: % 182.47/125.54 | (6613) all_461_0_790 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.54 | % 182.47/125.54 | Applying alpha-rule on (6613) yields: % 182.47/125.54 | (6614) all_461_0_790 = 0 % 182.47/125.54 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.47/125.54 | (417) all_181_1_103 = all_0_6_6 % 182.47/125.54 | % 182.47/125.54 | From (417) and (297) follows: % 182.47/125.54 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.54 | (212) all_85_0_75 = 0 % 182.47/125.54 | % 182.47/125.54 | Equations (212) can reduce 181 to: % 182.47/125.54 | (173) $false % 182.47/125.54 | % 182.47/125.54 |-The branch is then unsatisfiable % 182.47/125.54 |-Branch two: % 182.47/125.54 | (6620) all_461_0_790 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.54 | % 182.47/125.54 | Applying alpha-rule on (6620) yields: % 182.47/125.54 | (6614) all_461_0_790 = 0 % 182.47/125.54 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.47/125.54 | (424) all_181_1_103 = all_0_9_9 % 182.47/125.54 | % 182.47/125.54 | From (424) and (269) follows: % 182.47/125.54 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.47/125.54 | % 182.47/125.54 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.47/125.54 | (233) all_110_0_83 = 0 % 182.47/125.54 | % 182.47/125.54 | Equations (233) can reduce 209 to: % 182.47/125.54 | (173) $false % 182.47/125.54 | % 182.47/125.54 |-The branch is then unsatisfiable % 182.47/125.55 |-Branch two: % 182.47/125.55 | (6224) all_391_0_752 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6224) yields: % 182.47/125.55 | (6170) all_391_0_752 = 0 % 182.47/125.55 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 182.47/125.55 | (815) all_85_1_76 = all_0_9_9 % 182.47/125.55 | % 182.47/125.55 | From (815) and (182) follows: % 182.47/125.55 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 182.47/125.55 | % 182.47/125.55 +-Applying beta-rule and splitting (6549), into two cases. % 182.47/125.55 |-Branch one: % 182.47/125.55 | (6565) all_399_0_782 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6565) yields: % 182.47/125.55 | (6566) all_399_0_782 = 0 % 182.47/125.55 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 182.47/125.55 | (388) all_110_1_84 = all_0_6_6 % 182.47/125.55 | % 182.47/125.55 | From (388) and (210) follows: % 182.47/125.55 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 182.47/125.55 | % 182.47/125.55 +-Applying beta-rule and splitting (6554), into two cases. % 182.47/125.55 |-Branch one: % 182.47/125.55 | (6577) all_407_0_783 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6577) yields: % 182.47/125.55 | (6578) all_407_0_783 = 0 % 182.47/125.55 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.47/125.55 | (393) all_181_1_103 = all_0_3_3 % 182.47/125.55 | % 182.47/125.55 | From (393) and (259) follows: % 182.47/125.55 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 182.47/125.55 | % 182.47/125.55 +-Applying beta-rule and splitting (6559), into two cases. % 182.47/125.55 |-Branch one: % 182.47/125.55 | (6582) all_415_0_784 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6582) yields: % 182.47/125.55 | (6583) all_415_0_784 = 0 % 182.47/125.55 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.47/125.55 | (501) all_226_1_115 = all_0_3_3 % 182.47/125.55 | % 182.47/125.55 | From (501) and (287) follows: % 182.47/125.55 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 182.47/125.55 | (288) all_181_0_102 = 0 % 182.47/125.55 | % 182.47/125.55 | Equations (288) can reduce 258 to: % 182.47/125.55 | (173) $false % 182.47/125.55 | % 182.47/125.55 |-The branch is then unsatisfiable % 182.47/125.55 |-Branch two: % 182.47/125.55 | (6589) all_415_0_784 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6589) yields: % 182.47/125.55 | (6583) all_415_0_784 = 0 % 182.47/125.55 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.47/125.55 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.47/125.55 | % 182.47/125.55 | Instantiating (508) with all_472_0_793 yields: % 182.47/125.55 | (6653) (all_472_0_793 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_472_0_793 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.47/125.55 | % 182.47/125.55 +-Applying beta-rule and splitting (6653), into two cases. % 182.47/125.55 |-Branch one: % 182.47/125.55 | (6654) all_472_0_793 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6654) yields: % 182.47/125.55 | (6655) all_472_0_793 = 0 % 182.47/125.55 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.47/125.55 | (525) all_226_1_115 = all_0_6_6 % 182.47/125.55 | % 182.47/125.55 | From (525) and (302) follows: % 182.47/125.55 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.47/125.55 | (233) all_110_0_83 = 0 % 182.47/125.55 | % 182.47/125.55 | Equations (233) can reduce 209 to: % 182.47/125.55 | (173) $false % 182.47/125.55 | % 182.47/125.55 |-The branch is then unsatisfiable % 182.47/125.55 |-Branch two: % 182.47/125.55 | (6661) all_472_0_793 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6661) yields: % 182.47/125.55 | (6655) all_472_0_793 = 0 % 182.47/125.55 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.47/125.55 | (532) all_226_1_115 = all_0_9_9 % 182.47/125.55 | % 182.47/125.55 | From (532) and (308) follows: % 182.47/125.55 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.47/125.55 | (212) all_85_0_75 = 0 % 182.47/125.55 | % 182.47/125.55 | Equations (212) can reduce 181 to: % 182.47/125.55 | (173) $false % 182.47/125.55 | % 182.47/125.55 |-The branch is then unsatisfiable % 182.47/125.55 |-Branch two: % 182.47/125.55 | (6608) all_407_0_783 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6608) yields: % 182.47/125.55 | (6578) all_407_0_783 = 0 % 182.47/125.55 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.47/125.55 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.47/125.55 | % 182.47/125.55 | Instantiating (400) with all_461_0_796 yields: % 182.47/125.55 | (6672) (all_461_0_796 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_796 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.47/125.55 | % 182.47/125.55 +-Applying beta-rule and splitting (6672), into two cases. % 182.47/125.55 |-Branch one: % 182.47/125.55 | (6673) all_461_0_796 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6673) yields: % 182.47/125.55 | (6674) all_461_0_796 = 0 % 182.47/125.55 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.47/125.55 | (417) all_181_1_103 = all_0_6_6 % 182.47/125.55 | % 182.47/125.55 | From (417) and (269) follows: % 182.47/125.55 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.47/125.55 | (233) all_110_0_83 = 0 % 182.47/125.55 | % 182.47/125.55 | Equations (233) can reduce 209 to: % 182.47/125.55 | (173) $false % 182.47/125.55 | % 182.47/125.55 |-The branch is then unsatisfiable % 182.47/125.55 |-Branch two: % 182.47/125.55 | (6680) all_461_0_796 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.55 | % 182.47/125.55 | Applying alpha-rule on (6680) yields: % 182.47/125.55 | (6674) all_461_0_796 = 0 % 182.47/125.55 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.47/125.55 | (424) all_181_1_103 = all_0_9_9 % 182.47/125.55 | % 182.47/125.55 | From (424) and (297) follows: % 182.47/125.55 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.47/125.55 | % 182.47/125.55 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.47/125.55 | (212) all_85_0_75 = 0 % 182.47/125.55 | % 182.47/125.55 | Equations (212) can reduce 181 to: % 182.47/125.55 | (173) $false % 182.47/125.55 | % 182.47/125.55 |-The branch is then unsatisfiable % 182.47/125.56 |-Branch two: % 182.47/125.56 | (6572) all_399_0_782 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (6572) yields: % 182.47/125.56 | (6566) all_399_0_782 = 0 % 182.47/125.56 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 182.47/125.56 | (431) all_110_1_84 = all_0_9_9 % 182.47/125.56 | % 182.47/125.56 | From (431) and (211) follows: % 182.47/125.56 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.47/125.56 | (212) all_85_0_75 = 0 % 182.47/125.56 | % 182.47/125.56 | Equations (212) can reduce 181 to: % 182.47/125.56 | (173) $false % 182.47/125.56 | % 182.47/125.56 |-The branch is then unsatisfiable % 182.47/125.56 |-Branch two: % 182.47/125.56 | (5883) all_367_0_719 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (5883) yields: % 182.47/125.56 | (5769) all_367_0_719 = 0 % 182.47/125.56 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 182.47/125.56 | (582) all_226_1_115 = all_0_5_5 % 182.47/125.56 | % 182.47/125.56 | From (582) and (286) follows: % 182.47/125.56 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 182.47/125.56 | % 182.47/125.56 +-Applying beta-rule and splitting (5745), into two cases. % 182.47/125.56 |-Branch one: % 182.47/125.56 | (5888) all_375_0_720 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (5888) yields: % 182.47/125.56 | (5889) all_375_0_720 = 0 % 182.47/125.56 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 182.47/125.56 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 182.47/125.56 | % 182.47/125.56 | Instantiating (1787) with all_426_0_799 yields: % 182.47/125.56 | (6703) (all_426_0_799 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_426_0_799 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 182.47/125.56 | % 182.47/125.56 +-Applying beta-rule and splitting (6153), into two cases. % 182.47/125.56 |-Branch one: % 182.47/125.56 | (6169) all_391_0_752 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (6169) yields: % 182.47/125.56 | (6170) all_391_0_752 = 0 % 182.47/125.56 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 182.47/125.56 | (760) all_85_1_76 = all_0_6_6 % 182.47/125.56 | % 182.47/125.56 | From (760) and (182) follows: % 182.47/125.56 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 182.47/125.56 | % 182.47/125.56 +-Applying beta-rule and splitting (6549), into two cases. % 182.47/125.56 |-Branch one: % 182.47/125.56 | (6565) all_399_0_782 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (6565) yields: % 182.47/125.56 | (6566) all_399_0_782 = 0 % 182.47/125.56 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 182.47/125.56 | (388) all_110_1_84 = all_0_6_6 % 182.47/125.56 | % 182.47/125.56 | From (388) and (211) follows: % 182.47/125.56 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.56 | (212) all_85_0_75 = 0 % 182.47/125.56 | % 182.47/125.56 | Equations (212) can reduce 181 to: % 182.47/125.56 | (173) $false % 182.47/125.56 | % 182.47/125.56 |-The branch is then unsatisfiable % 182.47/125.56 |-Branch two: % 182.47/125.56 | (6572) all_399_0_782 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (6572) yields: % 182.47/125.56 | (6566) all_399_0_782 = 0 % 182.47/125.56 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 182.47/125.56 | (431) all_110_1_84 = all_0_9_9 % 182.47/125.56 | % 182.47/125.56 | From (431) and (210) follows: % 182.47/125.56 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 182.47/125.56 | % 182.47/125.56 +-Applying beta-rule and splitting (6554), into two cases. % 182.47/125.56 |-Branch one: % 182.47/125.56 | (6577) all_407_0_783 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (6577) yields: % 182.47/125.56 | (6578) all_407_0_783 = 0 % 182.47/125.56 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.47/125.56 | (393) all_181_1_103 = all_0_3_3 % 182.47/125.56 | % 182.47/125.56 | From (393) and (259) follows: % 182.47/125.56 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 182.47/125.56 | % 182.47/125.56 +-Applying beta-rule and splitting (6703), into two cases. % 182.47/125.56 |-Branch one: % 182.47/125.56 | (6726) all_426_0_799 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (6726) yields: % 182.47/125.56 | (6727) all_426_0_799 = 0 % 182.47/125.56 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.47/125.56 | (1809) all_205_2_109 = all_0_3_3 % 182.47/125.56 | % 182.47/125.56 | From (1809) and (296) follows: % 182.47/125.56 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 182.47/125.56 | (288) all_181_0_102 = 0 % 182.47/125.56 | % 182.47/125.56 | Equations (288) can reduce 258 to: % 182.47/125.56 | (173) $false % 182.47/125.56 | % 182.47/125.56 |-The branch is then unsatisfiable % 182.47/125.56 |-Branch two: % 182.47/125.56 | (6733) all_426_0_799 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (6733) yields: % 182.47/125.56 | (6727) all_426_0_799 = 0 % 182.47/125.56 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.56 | % 182.47/125.56 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.47/125.56 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.47/125.56 | % 182.47/125.56 | Instantiating (1816) with all_475_0_801 yields: % 182.47/125.56 | (6737) (all_475_0_801 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_801 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.47/125.56 | % 182.47/125.56 +-Applying beta-rule and splitting (6737), into two cases. % 182.47/125.56 |-Branch one: % 182.47/125.56 | (6738) all_475_0_801 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.56 | % 182.47/125.56 | Applying alpha-rule on (6738) yields: % 182.47/125.56 | (6739) all_475_0_801 = 0 % 182.47/125.57 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.47/125.57 | (1833) all_205_2_109 = all_0_6_6 % 182.47/125.57 | % 182.47/125.57 | From (1833) and (315) follows: % 182.47/125.57 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.57 | (212) all_85_0_75 = 0 % 182.47/125.57 | % 182.47/125.57 | Equations (212) can reduce 181 to: % 182.47/125.57 | (173) $false % 182.47/125.57 | % 182.47/125.57 |-The branch is then unsatisfiable % 182.47/125.57 |-Branch two: % 182.47/125.57 | (6745) all_475_0_801 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.57 | % 182.47/125.57 | Applying alpha-rule on (6745) yields: % 182.47/125.57 | (6739) all_475_0_801 = 0 % 182.47/125.57 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.47/125.57 | (1840) all_205_2_109 = all_0_9_9 % 182.47/125.57 | % 182.47/125.57 | From (1840) and (309) follows: % 182.47/125.57 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.47/125.57 | (233) all_110_0_83 = 0 % 182.47/125.57 | % 182.47/125.57 | Equations (233) can reduce 209 to: % 182.47/125.57 | (173) $false % 182.47/125.57 | % 182.47/125.57 |-The branch is then unsatisfiable % 182.47/125.57 |-Branch two: % 182.47/125.57 | (6608) all_407_0_783 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.47/125.57 | % 182.47/125.57 | Applying alpha-rule on (6608) yields: % 182.47/125.57 | (6578) all_407_0_783 = 0 % 182.47/125.57 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.47/125.57 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.47/125.57 | % 182.47/125.57 | Instantiating (400) with all_464_0_803 yields: % 182.47/125.57 | (6756) (all_464_0_803 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_464_0_803 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.47/125.57 | % 182.47/125.57 +-Applying beta-rule and splitting (6756), into two cases. % 182.47/125.57 |-Branch one: % 182.47/125.57 | (6757) all_464_0_803 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.57 | % 182.47/125.57 | Applying alpha-rule on (6757) yields: % 182.47/125.57 | (6758) all_464_0_803 = 0 % 182.47/125.57 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.47/125.57 | (417) all_181_1_103 = all_0_6_6 % 182.47/125.57 | % 182.47/125.57 | From (417) and (297) follows: % 182.47/125.57 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.47/125.57 | (212) all_85_0_75 = 0 % 182.47/125.57 | % 182.47/125.57 | Equations (212) can reduce 181 to: % 182.47/125.57 | (173) $false % 182.47/125.57 | % 182.47/125.57 |-The branch is then unsatisfiable % 182.47/125.57 |-Branch two: % 182.47/125.57 | (6764) all_464_0_803 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.57 | % 182.47/125.57 | Applying alpha-rule on (6764) yields: % 182.47/125.57 | (6758) all_464_0_803 = 0 % 182.47/125.57 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.47/125.57 | (424) all_181_1_103 = all_0_9_9 % 182.47/125.57 | % 182.47/125.57 | From (424) and (269) follows: % 182.47/125.57 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.47/125.57 | (233) all_110_0_83 = 0 % 182.47/125.57 | % 182.47/125.57 | Equations (233) can reduce 209 to: % 182.47/125.57 | (173) $false % 182.47/125.57 | % 182.47/125.57 |-The branch is then unsatisfiable % 182.47/125.57 |-Branch two: % 182.47/125.57 | (6224) all_391_0_752 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 182.47/125.57 | % 182.47/125.57 | Applying alpha-rule on (6224) yields: % 182.47/125.57 | (6170) all_391_0_752 = 0 % 182.47/125.57 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 182.47/125.57 | (815) all_85_1_76 = all_0_9_9 % 182.47/125.57 | % 182.47/125.57 | From (815) and (182) follows: % 182.47/125.57 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 182.47/125.57 | % 182.47/125.57 +-Applying beta-rule and splitting (6549), into two cases. % 182.47/125.57 |-Branch one: % 182.47/125.57 | (6565) all_399_0_782 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 182.47/125.57 | % 182.47/125.57 | Applying alpha-rule on (6565) yields: % 182.47/125.57 | (6566) all_399_0_782 = 0 % 182.47/125.57 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 182.47/125.57 | (388) all_110_1_84 = all_0_6_6 % 182.47/125.57 | % 182.47/125.57 | From (388) and (210) follows: % 182.47/125.57 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 182.47/125.57 | % 182.47/125.57 +-Applying beta-rule and splitting (6554), into two cases. % 182.47/125.57 |-Branch one: % 182.47/125.57 | (6577) all_407_0_783 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.57 | % 182.47/125.57 | Applying alpha-rule on (6577) yields: % 182.47/125.57 | (6578) all_407_0_783 = 0 % 182.47/125.57 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.47/125.57 | (393) all_181_1_103 = all_0_3_3 % 182.47/125.57 | % 182.47/125.57 | From (393) and (259) follows: % 182.47/125.57 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 182.47/125.57 | % 182.47/125.57 +-Applying beta-rule and splitting (6703), into two cases. % 182.47/125.57 |-Branch one: % 182.47/125.57 | (6726) all_426_0_799 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.57 | % 182.47/125.57 | Applying alpha-rule on (6726) yields: % 182.47/125.57 | (6727) all_426_0_799 = 0 % 182.47/125.57 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.47/125.57 | (1809) all_205_2_109 = all_0_3_3 % 182.47/125.57 | % 182.47/125.57 | From (1809) and (296) follows: % 182.47/125.57 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 182.47/125.57 | (288) all_181_0_102 = 0 % 182.47/125.57 | % 182.47/125.57 | Equations (288) can reduce 258 to: % 182.47/125.57 | (173) $false % 182.47/125.57 | % 182.47/125.57 |-The branch is then unsatisfiable % 182.47/125.57 |-Branch two: % 182.47/125.57 | (6733) all_426_0_799 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.57 | % 182.47/125.57 | Applying alpha-rule on (6733) yields: % 182.47/125.57 | (6727) all_426_0_799 = 0 % 182.47/125.57 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.47/125.57 | % 182.47/125.57 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.47/125.58 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.47/125.58 | % 182.47/125.58 | Instantiating (1816) with all_475_0_817 yields: % 182.47/125.58 | (6797) (all_475_0_817 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_817 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.47/125.58 | % 182.47/125.58 +-Applying beta-rule and splitting (6797), into two cases. % 182.47/125.58 |-Branch one: % 182.47/125.58 | (6798) all_475_0_817 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.58 | % 182.47/125.58 | Applying alpha-rule on (6798) yields: % 182.47/125.58 | (6799) all_475_0_817 = 0 % 182.47/125.58 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.47/125.58 | % 182.47/125.58 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.47/125.58 | (1833) all_205_2_109 = all_0_6_6 % 182.47/125.58 | % 182.47/125.58 | From (1833) and (309) follows: % 182.47/125.58 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.47/125.58 | % 182.47/125.58 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.47/125.58 | (233) all_110_0_83 = 0 % 182.47/125.58 | % 182.47/125.58 | Equations (233) can reduce 209 to: % 182.47/125.58 | (173) $false % 182.47/125.58 | % 182.47/125.58 |-The branch is then unsatisfiable % 182.47/125.58 |-Branch two: % 182.47/125.58 | (6805) all_475_0_817 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.58 | % 182.47/125.58 | Applying alpha-rule on (6805) yields: % 182.47/125.58 | (6799) all_475_0_817 = 0 % 182.47/125.58 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.47/125.58 | % 182.47/125.58 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.47/125.58 | (1840) all_205_2_109 = all_0_9_9 % 182.47/125.58 | % 182.47/125.58 | From (1840) and (315) follows: % 182.47/125.58 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.47/125.58 | % 182.47/125.58 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.47/125.58 | (212) all_85_0_75 = 0 % 182.47/125.58 | % 182.47/125.58 | Equations (212) can reduce 181 to: % 182.47/125.58 | (173) $false % 182.47/125.58 | % 182.47/125.58 |-The branch is then unsatisfiable % 182.84/125.58 |-Branch two: % 182.84/125.58 | (6608) all_407_0_783 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.84/125.58 | % 182.84/125.58 | Applying alpha-rule on (6608) yields: % 182.84/125.58 | (6578) all_407_0_783 = 0 % 182.84/125.58 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.84/125.58 | % 182.84/125.58 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.84/125.58 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.84/125.58 | % 182.84/125.58 | Instantiating (400) with all_464_0_819 yields: % 182.84/125.58 | (6816) (all_464_0_819 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_464_0_819 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.84/125.58 | % 182.84/125.58 +-Applying beta-rule and splitting (6816), into two cases. % 182.84/125.58 |-Branch one: % 182.84/125.58 | (6817) all_464_0_819 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.84/125.58 | % 182.84/125.58 | Applying alpha-rule on (6817) yields: % 182.84/125.58 | (6818) all_464_0_819 = 0 % 182.84/125.58 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.84/125.58 | % 182.84/125.58 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.84/125.58 | (417) all_181_1_103 = all_0_6_6 % 182.84/125.58 | % 182.84/125.58 | From (417) and (269) follows: % 182.84/125.58 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.84/125.58 | % 182.84/125.58 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.84/125.58 | (233) all_110_0_83 = 0 % 182.84/125.58 | % 182.84/125.58 | Equations (233) can reduce 209 to: % 182.84/125.58 | (173) $false % 182.84/125.58 | % 182.84/125.58 |-The branch is then unsatisfiable % 182.84/125.58 |-Branch two: % 182.84/125.58 | (6824) all_464_0_819 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.84/125.58 | % 182.84/125.58 | Applying alpha-rule on (6824) yields: % 182.84/125.58 | (6818) all_464_0_819 = 0 % 182.84/125.58 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.84/125.58 | % 182.84/125.58 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.84/125.58 | (424) all_181_1_103 = all_0_9_9 % 182.84/125.58 | % 182.84/125.58 | From (424) and (297) follows: % 182.84/125.58 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.84/125.58 | % 182.84/125.58 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.84/125.58 | (212) all_85_0_75 = 0 % 182.84/125.58 | % 182.84/125.58 | Equations (212) can reduce 181 to: % 182.84/125.58 | (173) $false % 182.84/125.58 | % 182.84/125.58 |-The branch is then unsatisfiable % 182.84/125.58 |-Branch two: % 182.84/125.58 | (6572) all_399_0_782 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 182.84/125.58 | % 182.84/125.58 | Applying alpha-rule on (6572) yields: % 182.84/125.58 | (6566) all_399_0_782 = 0 % 182.84/125.58 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 182.84/125.58 | % 182.84/125.58 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 182.84/125.58 | (431) all_110_1_84 = all_0_9_9 % 182.84/125.58 | % 182.84/125.58 | From (431) and (211) follows: % 182.84/125.58 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.84/125.58 | % 182.84/125.58 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.84/125.58 | (212) all_85_0_75 = 0 % 182.84/125.58 | % 182.84/125.58 | Equations (212) can reduce 181 to: % 182.84/125.58 | (173) $false % 182.84/125.58 | % 182.84/125.58 |-The branch is then unsatisfiable % 182.84/125.58 |-Branch two: % 182.84/125.58 | (6003) all_375_0_720 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 182.84/125.58 | % 182.84/125.58 | Applying alpha-rule on (6003) yields: % 182.84/125.58 | (5889) all_375_0_720 = 0 % 182.84/125.58 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 182.84/125.58 | % 182.84/125.58 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 182.84/125.58 | (1890) all_205_2_109 = all_0_5_5 % 182.84/125.58 | % 182.84/125.58 | From (1890) and (275) follows: % 182.84/125.58 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 182.84/125.58 | % 182.84/125.58 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 182.84/125.58 | (2957) all_226_0_114 = 0 % 182.84/125.58 | % 182.84/125.58 | Equations (2957) can reduce 285 to: % 182.84/125.58 | (173) $false % 182.84/125.58 | % 182.84/125.58 |-The branch is then unsatisfiable % 182.84/125.58 |-Branch two: % 182.84/125.58 | (6010) all_359_0_718 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 182.84/125.58 | % 182.84/125.58 | Applying alpha-rule on (6010) yields: % 182.84/125.59 | (5764) all_359_0_718 = 0 % 182.84/125.59 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 182.84/125.59 | % 182.84/125.59 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 182.84/125.59 | (474) all_181_1_103 = all_0_5_5 % 182.84/125.59 | % 182.84/125.59 | From (474) and (259) follows: % 182.84/125.59 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 182.84/125.59 | % 182.84/125.59 +-Applying beta-rule and splitting (5740), into two cases. % 182.84/125.59 |-Branch one: % 182.84/125.59 | (5768) all_367_0_719 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 182.84/125.59 | % 182.84/125.59 | Applying alpha-rule on (5768) yields: % 182.84/125.59 | (5769) all_367_0_719 = 0 % 182.84/125.59 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 182.84/125.59 | % 182.84/125.59 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 182.84/125.59 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 182.84/125.59 | % 182.84/125.59 | Instantiating (479) with all_418_0_833 yields: % 182.84/125.59 | (6854) (all_418_0_833 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_418_0_833 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 182.84/125.59 | % 182.84/125.59 +-Applying beta-rule and splitting (5745), into two cases. % 182.84/125.59 |-Branch one: % 182.84/125.59 | (5888) all_375_0_720 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 182.84/125.59 | % 182.84/125.59 | Applying alpha-rule on (5888) yields: % 182.84/125.59 | (5889) all_375_0_720 = 0 % 182.84/125.59 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 182.84/125.59 | % 182.84/125.59 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 182.84/125.59 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 182.84/125.59 | % 182.84/125.59 | Instantiating (1787) with all_426_0_834 yields: % 182.84/125.59 | (6859) (all_426_0_834 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_426_0_834 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 182.84/125.59 | % 182.84/125.59 +-Applying beta-rule and splitting (6153), into two cases. % 182.84/125.59 |-Branch one: % 182.84/125.59 | (6169) all_391_0_752 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 182.84/125.59 | % 182.84/125.59 | Applying alpha-rule on (6169) yields: % 182.88/125.59 | (6170) all_391_0_752 = 0 % 182.88/125.59 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 182.88/125.59 | (760) all_85_1_76 = all_0_6_6 % 182.88/125.59 | % 182.88/125.59 | From (760) and (182) follows: % 182.88/125.59 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 182.88/125.59 | % 182.88/125.59 +-Applying beta-rule and splitting (6549), into two cases. % 182.88/125.59 |-Branch one: % 182.88/125.59 | (6565) all_399_0_782 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 182.88/125.59 | % 182.88/125.59 | Applying alpha-rule on (6565) yields: % 182.88/125.59 | (6566) all_399_0_782 = 0 % 182.88/125.59 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 182.88/125.59 | (388) all_110_1_84 = all_0_6_6 % 182.88/125.59 | % 182.88/125.59 | From (388) and (211) follows: % 182.88/125.59 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.88/125.59 | (212) all_85_0_75 = 0 % 182.88/125.59 | % 182.88/125.59 | Equations (212) can reduce 181 to: % 182.88/125.59 | (173) $false % 182.88/125.59 | % 182.88/125.59 |-The branch is then unsatisfiable % 182.88/125.59 |-Branch two: % 182.88/125.59 | (6572) all_399_0_782 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 182.88/125.59 | % 182.88/125.59 | Applying alpha-rule on (6572) yields: % 182.88/125.59 | (6566) all_399_0_782 = 0 % 182.88/125.59 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 182.88/125.59 | (431) all_110_1_84 = all_0_9_9 % 182.88/125.59 | % 182.88/125.59 | From (431) and (210) follows: % 182.88/125.59 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 182.88/125.59 | % 182.88/125.59 +-Applying beta-rule and splitting (6854), into two cases. % 182.88/125.59 |-Branch one: % 182.88/125.59 | (6877) all_418_0_833 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.88/125.59 | % 182.88/125.59 | Applying alpha-rule on (6877) yields: % 182.88/125.59 | (6878) all_418_0_833 = 0 % 182.88/125.59 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.88/125.59 | (501) all_226_1_115 = all_0_3_3 % 182.88/125.59 | % 182.88/125.59 | From (501) and (286) follows: % 182.88/125.59 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 182.88/125.59 | % 182.88/125.59 +-Applying beta-rule and splitting (6859), into two cases. % 182.88/125.59 |-Branch one: % 182.88/125.59 | (6882) all_426_0_834 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.88/125.59 | % 182.88/125.59 | Applying alpha-rule on (6882) yields: % 182.88/125.59 | (6883) all_426_0_834 = 0 % 182.88/125.59 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.88/125.59 | (1809) all_205_2_109 = all_0_3_3 % 182.88/125.59 | % 182.88/125.59 | From (1809) and (275) follows: % 182.88/125.59 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 182.88/125.59 | (2957) all_226_0_114 = 0 % 182.88/125.59 | % 182.88/125.59 | Equations (2957) can reduce 285 to: % 182.88/125.59 | (173) $false % 182.88/125.59 | % 182.88/125.59 |-The branch is then unsatisfiable % 182.88/125.59 |-Branch two: % 182.88/125.59 | (6889) all_426_0_834 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.88/125.59 | % 182.88/125.59 | Applying alpha-rule on (6889) yields: % 182.88/125.59 | (6883) all_426_0_834 = 0 % 182.88/125.59 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.88/125.59 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.88/125.59 | % 182.88/125.59 | Instantiating (1816) with all_475_0_836 yields: % 182.88/125.59 | (6893) (all_475_0_836 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_836 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.88/125.59 | % 182.88/125.59 +-Applying beta-rule and splitting (6893), into two cases. % 182.88/125.59 |-Branch one: % 182.88/125.59 | (6894) all_475_0_836 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.88/125.59 | % 182.88/125.59 | Applying alpha-rule on (6894) yields: % 182.88/125.59 | (6895) all_475_0_836 = 0 % 182.88/125.59 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.88/125.59 | (1833) all_205_2_109 = all_0_6_6 % 182.88/125.59 | % 182.88/125.59 | From (1833) and (315) follows: % 182.88/125.59 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.88/125.59 | % 182.88/125.59 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.88/125.59 | (212) all_85_0_75 = 0 % 182.88/125.59 | % 182.88/125.59 | Equations (212) can reduce 181 to: % 182.88/125.59 | (173) $false % 182.88/125.59 | % 182.88/125.59 |-The branch is then unsatisfiable % 182.88/125.59 |-Branch two: % 182.88/125.59 | (6901) all_475_0_836 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.88/125.59 | % 182.88/125.60 | Applying alpha-rule on (6901) yields: % 182.88/125.60 | (6895) all_475_0_836 = 0 % 182.88/125.60 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.88/125.60 | (1840) all_205_2_109 = all_0_9_9 % 182.88/125.60 | % 182.88/125.60 | From (1840) and (309) follows: % 182.88/125.60 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.88/125.60 | (233) all_110_0_83 = 0 % 182.88/125.60 | % 182.88/125.60 | Equations (233) can reduce 209 to: % 182.88/125.60 | (173) $false % 182.88/125.60 | % 182.88/125.60 |-The branch is then unsatisfiable % 182.88/125.60 |-Branch two: % 182.88/125.60 | (6908) all_418_0_833 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.88/125.60 | % 182.88/125.60 | Applying alpha-rule on (6908) yields: % 182.88/125.60 | (6878) all_418_0_833 = 0 % 182.88/125.60 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.88/125.60 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.88/125.60 | % 182.88/125.60 | Instantiating (508) with all_464_0_838 yields: % 182.88/125.60 | (6912) (all_464_0_838 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_464_0_838 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.88/125.60 | % 182.88/125.60 +-Applying beta-rule and splitting (6912), into two cases. % 182.88/125.60 |-Branch one: % 182.88/125.60 | (6913) all_464_0_838 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.88/125.60 | % 182.88/125.60 | Applying alpha-rule on (6913) yields: % 182.88/125.60 | (6914) all_464_0_838 = 0 % 182.88/125.60 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.88/125.60 | (525) all_226_1_115 = all_0_6_6 % 182.88/125.60 | % 182.88/125.60 | From (525) and (308) follows: % 182.88/125.60 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.88/125.60 | (212) all_85_0_75 = 0 % 182.88/125.60 | % 182.88/125.60 | Equations (212) can reduce 181 to: % 182.88/125.60 | (173) $false % 182.88/125.60 | % 182.88/125.60 |-The branch is then unsatisfiable % 182.88/125.60 |-Branch two: % 182.88/125.60 | (6920) all_464_0_838 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.88/125.60 | % 182.88/125.60 | Applying alpha-rule on (6920) yields: % 182.88/125.60 | (6914) all_464_0_838 = 0 % 182.88/125.60 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.88/125.60 | (532) all_226_1_115 = all_0_9_9 % 182.88/125.60 | % 182.88/125.60 | From (532) and (302) follows: % 182.88/125.60 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 182.88/125.60 | (233) all_110_0_83 = 0 % 182.88/125.60 | % 182.88/125.60 | Equations (233) can reduce 209 to: % 182.88/125.60 | (173) $false % 182.88/125.60 | % 182.88/125.60 |-The branch is then unsatisfiable % 182.88/125.60 |-Branch two: % 182.88/125.60 | (6224) all_391_0_752 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 182.88/125.60 | % 182.88/125.60 | Applying alpha-rule on (6224) yields: % 182.88/125.60 | (6170) all_391_0_752 = 0 % 182.88/125.60 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 182.88/125.60 | (815) all_85_1_76 = all_0_9_9 % 182.88/125.60 | % 182.88/125.60 | From (815) and (182) follows: % 182.88/125.60 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 182.88/125.60 | % 182.88/125.60 +-Applying beta-rule and splitting (6549), into two cases. % 182.88/125.60 |-Branch one: % 182.88/125.60 | (6565) all_399_0_782 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 182.88/125.60 | % 182.88/125.60 | Applying alpha-rule on (6565) yields: % 182.88/125.60 | (6566) all_399_0_782 = 0 % 182.88/125.60 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 182.88/125.60 | (388) all_110_1_84 = all_0_6_6 % 182.88/125.60 | % 182.88/125.60 | From (388) and (210) follows: % 182.88/125.60 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 182.88/125.60 | % 182.88/125.60 +-Applying beta-rule and splitting (6854), into two cases. % 182.88/125.60 |-Branch one: % 182.88/125.60 | (6877) all_418_0_833 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.88/125.60 | % 182.88/125.60 | Applying alpha-rule on (6877) yields: % 182.88/125.60 | (6878) all_418_0_833 = 0 % 182.88/125.60 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.88/125.60 | (501) all_226_1_115 = all_0_3_3 % 182.88/125.60 | % 182.88/125.60 | From (501) and (286) follows: % 182.88/125.60 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 182.88/125.60 | % 182.88/125.60 +-Applying beta-rule and splitting (6859), into two cases. % 182.88/125.60 |-Branch one: % 182.88/125.60 | (6882) all_426_0_834 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.88/125.60 | % 182.88/125.60 | Applying alpha-rule on (6882) yields: % 182.88/125.60 | (6883) all_426_0_834 = 0 % 182.88/125.60 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.88/125.60 | (1809) all_205_2_109 = all_0_3_3 % 182.88/125.60 | % 182.88/125.60 | From (1809) and (275) follows: % 182.88/125.60 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 182.88/125.60 | (2957) all_226_0_114 = 0 % 182.88/125.60 | % 182.88/125.60 | Equations (2957) can reduce 285 to: % 182.88/125.60 | (173) $false % 182.88/125.60 | % 182.88/125.60 |-The branch is then unsatisfiable % 182.88/125.60 |-Branch two: % 182.88/125.60 | (6889) all_426_0_834 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.88/125.60 | % 182.88/125.60 | Applying alpha-rule on (6889) yields: % 182.88/125.60 | (6883) all_426_0_834 = 0 % 182.88/125.60 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.88/125.60 | % 182.88/125.60 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.88/125.60 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.88/125.60 | % 182.88/125.60 | Instantiating (1816) with all_475_0_852 yields: % 182.88/125.60 | (6953) (all_475_0_852 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_475_0_852 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.88/125.60 | % 182.88/125.61 +-Applying beta-rule and splitting (6953), into two cases. % 182.88/125.61 |-Branch one: % 182.88/125.61 | (6954) all_475_0_852 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.88/125.61 | % 182.88/125.61 | Applying alpha-rule on (6954) yields: % 182.88/125.61 | (6955) all_475_0_852 = 0 % 182.88/125.61 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.88/125.61 | % 182.88/125.61 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.88/125.61 | (1833) all_205_2_109 = all_0_6_6 % 182.88/125.61 | % 182.88/125.61 | From (1833) and (309) follows: % 182.88/125.61 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.88/125.61 | % 182.88/125.61 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.88/125.61 | (233) all_110_0_83 = 0 % 182.88/125.61 | % 182.88/125.61 | Equations (233) can reduce 209 to: % 182.88/125.61 | (173) $false % 182.88/125.61 | % 182.88/125.61 |-The branch is then unsatisfiable % 182.88/125.61 |-Branch two: % 182.88/125.61 | (6961) all_475_0_852 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.88/125.61 | % 182.88/125.61 | Applying alpha-rule on (6961) yields: % 182.88/125.61 | (6955) all_475_0_852 = 0 % 182.88/125.61 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.88/125.61 | % 182.88/125.61 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.88/125.61 | (1840) all_205_2_109 = all_0_9_9 % 182.88/125.61 | % 182.88/125.61 | From (1840) and (315) follows: % 182.88/125.61 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.88/125.61 | % 182.88/125.61 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.88/125.61 | (212) all_85_0_75 = 0 % 182.88/125.61 | % 182.88/125.61 | Equations (212) can reduce 181 to: % 182.88/125.61 | (173) $false % 182.88/125.61 | % 182.88/125.61 |-The branch is then unsatisfiable % 182.96/125.61 |-Branch two: % 182.96/125.61 | (6908) all_418_0_833 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.96/125.61 | % 182.96/125.61 | Applying alpha-rule on (6908) yields: % 182.96/125.61 | (6878) all_418_0_833 = 0 % 182.96/125.61 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.96/125.61 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.96/125.61 | % 182.96/125.61 | Instantiating (508) with all_464_0_854 yields: % 182.96/125.61 | (6972) (all_464_0_854 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_464_0_854 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.96/125.61 | % 182.96/125.61 +-Applying beta-rule and splitting (6972), into two cases. % 182.96/125.61 |-Branch one: % 182.96/125.61 | (6973) all_464_0_854 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.96/125.61 | % 182.96/125.61 | Applying alpha-rule on (6973) yields: % 182.96/125.61 | (6974) all_464_0_854 = 0 % 182.96/125.61 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.96/125.61 | (525) all_226_1_115 = all_0_6_6 % 182.96/125.61 | % 182.96/125.61 | From (525) and (302) follows: % 182.96/125.61 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 182.96/125.61 | (233) all_110_0_83 = 0 % 182.96/125.61 | % 182.96/125.61 | Equations (233) can reduce 209 to: % 182.96/125.61 | (173) $false % 182.96/125.61 | % 182.96/125.61 |-The branch is then unsatisfiable % 182.96/125.61 |-Branch two: % 182.96/125.61 | (6980) all_464_0_854 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.96/125.61 | % 182.96/125.61 | Applying alpha-rule on (6980) yields: % 182.96/125.61 | (6974) all_464_0_854 = 0 % 182.96/125.61 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.96/125.61 | (532) all_226_1_115 = all_0_9_9 % 182.96/125.61 | % 182.96/125.61 | From (532) and (308) follows: % 182.96/125.61 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.96/125.61 | (212) all_85_0_75 = 0 % 182.96/125.61 | % 182.96/125.61 | Equations (212) can reduce 181 to: % 182.96/125.61 | (173) $false % 182.96/125.61 | % 182.96/125.61 |-The branch is then unsatisfiable % 182.96/125.61 |-Branch two: % 182.96/125.61 | (6572) all_399_0_782 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 182.96/125.61 | % 182.96/125.61 | Applying alpha-rule on (6572) yields: % 182.96/125.61 | (6566) all_399_0_782 = 0 % 182.96/125.61 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 182.96/125.61 | (431) all_110_1_84 = all_0_9_9 % 182.96/125.61 | % 182.96/125.61 | From (431) and (211) follows: % 182.96/125.61 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.96/125.61 | (212) all_85_0_75 = 0 % 182.96/125.61 | % 182.96/125.61 | Equations (212) can reduce 181 to: % 182.96/125.61 | (173) $false % 182.96/125.61 | % 182.96/125.61 |-The branch is then unsatisfiable % 182.96/125.61 |-Branch two: % 182.96/125.61 | (6003) all_375_0_720 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 182.96/125.61 | % 182.96/125.61 | Applying alpha-rule on (6003) yields: % 182.96/125.61 | (5889) all_375_0_720 = 0 % 182.96/125.61 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 182.96/125.61 | (1890) all_205_2_109 = all_0_5_5 % 182.96/125.61 | % 182.96/125.61 | From (1890) and (296) follows: % 182.96/125.61 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 182.96/125.61 | (288) all_181_0_102 = 0 % 182.96/125.61 | % 182.96/125.61 | Equations (288) can reduce 258 to: % 182.96/125.61 | (173) $false % 182.96/125.61 | % 182.96/125.61 |-The branch is then unsatisfiable % 182.96/125.61 |-Branch two: % 182.96/125.61 | (5883) all_367_0_719 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 182.96/125.61 | % 182.96/125.61 | Applying alpha-rule on (5883) yields: % 182.96/125.61 | (5769) all_367_0_719 = 0 % 182.96/125.61 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 182.96/125.61 | (582) all_226_1_115 = all_0_5_5 % 182.96/125.61 | % 182.96/125.61 | From (582) and (287) follows: % 182.96/125.61 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 182.96/125.61 | % 182.96/125.61 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 182.96/125.61 | (288) all_181_0_102 = 0 % 182.96/125.61 | % 182.96/125.61 | Equations (288) can reduce 258 to: % 182.96/125.61 | (173) $false % 182.96/125.61 | % 182.96/125.61 |-The branch is then unsatisfiable % 182.96/125.62 |-Branch two: % 182.96/125.62 | (2952) all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 182.96/125.62 | % 182.96/125.62 | Applying alpha-rule on (2952) yields: % 182.96/125.62 | (1650) all_318_0_130 = 0 % 182.96/125.62 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 182.96/125.62 | % 182.96/125.62 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 182.96/125.62 | (2955) all_205_2_109 = all_0_8_8 % 182.96/125.62 | % 182.96/125.62 | From (2955) and (303) follows: % 182.99/125.62 | (7012) mem(all_0_8_8, all_99_1_80) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (58) with all_0_8_8, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_8_8, all_99_1_80) = all_135_0_89, mem(all_0_8_8, all_99_1_80) = 0, yields: % 182.99/125.62 | (261) all_135_0_89 = 0 % 182.99/125.62 | % 182.99/125.62 | Equations (261) can reduce 230 to: % 182.99/125.62 | (173) $false % 182.99/125.62 | % 182.99/125.62 |-The branch is then unsatisfiable % 182.99/125.62 |-Branch two: % 182.99/125.62 | (1644) all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 182.99/125.62 | % 182.99/125.62 | Applying alpha-rule on (1644) yields: % 182.99/125.62 | (342) all_311_0_129 = 0 % 182.99/125.62 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 182.99/125.62 | (1647) all_226_1_115 = all_0_8_8 % 182.99/125.62 | % 182.99/125.62 | From (1647) and (295) follows: % 182.99/125.62 | (7012) mem(all_0_8_8, all_99_1_80) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (58) with all_0_8_8, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_8_8, all_99_1_80) = all_135_0_89, mem(all_0_8_8, all_99_1_80) = 0, yields: % 182.99/125.62 | (261) all_135_0_89 = 0 % 182.99/125.62 | % 182.99/125.62 | Equations (261) can reduce 230 to: % 182.99/125.62 | (173) $false % 182.99/125.62 | % 182.99/125.62 |-The branch is then unsatisfiable % 182.99/125.62 |-Branch two: % 182.99/125.62 | (2959) all_292_0_126 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 182.99/125.62 | % 182.99/125.62 | Applying alpha-rule on (2959) yields: % 182.99/125.62 | (337) all_292_0_126 = 0 % 182.99/125.62 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 182.99/125.62 | (2962) all_181_1_103 = all_0_8_8 % 182.99/125.62 | % 182.99/125.62 | From (2962) and (260) follows: % 182.99/125.62 | (7012) mem(all_0_8_8, all_99_1_80) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (58) with all_0_8_8, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_8_8, all_99_1_80) = all_135_0_89, mem(all_0_8_8, all_99_1_80) = 0, yields: % 182.99/125.62 | (261) all_135_0_89 = 0 % 182.99/125.62 | % 182.99/125.62 | Equations (261) can reduce 230 to: % 182.99/125.62 | (173) $false % 182.99/125.62 | % 182.99/125.62 |-The branch is then unsatisfiable % 182.99/125.62 |-Branch two: % 182.99/125.62 | (4286) all_291_0_125 = 0 & mem(all_110_1_84, all_0_4_4) = 0 % 182.99/125.62 | % 182.99/125.62 | Applying alpha-rule on (4286) yields: % 182.99/125.62 | (332) all_291_0_125 = 0 % 182.99/125.62 | (4288) mem(all_110_1_84, all_0_4_4) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_110_1_84 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_110_1_84, all_0_4_4) = 0, yields: % 182.99/125.62 | (4289) all_110_1_84 = all_0_5_5 % 182.99/125.62 | % 182.99/125.62 | From (4289) and (210) follows: % 182.99/125.62 | (4290) mem(all_0_5_5, all_74_1_72) = all_110_0_83 % 182.99/125.62 | % 182.99/125.62 +-Applying beta-rule and splitting (313), into two cases. % 182.99/125.62 |-Branch one: % 182.99/125.62 | (336) all_292_0_126 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 182.99/125.62 | % 182.99/125.62 | Applying alpha-rule on (336) yields: % 182.99/125.62 | (337) all_292_0_126 = 0 % 182.99/125.62 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 182.99/125.62 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 182.99/125.62 | % 182.99/125.62 | Instantiating (339) with all_362_0_868 yields: % 182.99/125.62 | (7038) (all_362_0_868 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_362_0_868 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 182.99/125.62 | % 182.99/125.62 +-Applying beta-rule and splitting (318), into two cases. % 182.99/125.62 |-Branch one: % 182.99/125.62 | (341) all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 182.99/125.62 | % 182.99/125.62 | Applying alpha-rule on (341) yields: % 182.99/125.62 | (342) all_311_0_129 = 0 % 182.99/125.62 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 182.99/125.62 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 182.99/125.62 | % 182.99/125.62 | Instantiating (344) with all_370_0_869 yields: % 182.99/125.62 | (7043) (all_370_0_869 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_370_0_869 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 182.99/125.62 | % 182.99/125.62 +-Applying beta-rule and splitting (320), into two cases. % 182.99/125.62 |-Branch one: % 182.99/125.62 | (1649) all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 182.99/125.62 | % 182.99/125.62 | Applying alpha-rule on (1649) yields: % 182.99/125.62 | (1650) all_318_0_130 = 0 % 182.99/125.62 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 182.99/125.62 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 182.99/125.62 | % 182.99/125.62 | Instantiating (1652) with all_378_0_870 yields: % 182.99/125.62 | (7048) (all_378_0_870 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_378_0_870 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 182.99/125.62 | % 182.99/125.62 +-Applying beta-rule and splitting (325), into two cases. % 182.99/125.62 |-Branch one: % 182.99/125.62 | (346) all_332_0_132 = 0 & mem(all_85_1_76, all_72_0_70) = 0 % 182.99/125.62 | % 182.99/125.62 | Applying alpha-rule on (346) yields: % 182.99/125.62 | (347) all_332_0_132 = 0 % 182.99/125.62 | (348) mem(all_85_1_76, all_72_0_70) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_85_1_76, all_72_0_70) = 0, yields: % 182.99/125.62 | (349) all_85_1_76 = all_0_3_3 % 182.99/125.62 | % 182.99/125.62 | From (349) and (182) follows: % 182.99/125.62 | (350) mem(all_0_3_3, all_57_1_65) = all_85_0_75 % 182.99/125.62 | % 182.99/125.62 +-Applying beta-rule and splitting (7038), into two cases. % 182.99/125.62 |-Branch one: % 182.99/125.62 | (7054) all_362_0_868 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 182.99/125.62 | % 182.99/125.62 | Applying alpha-rule on (7054) yields: % 182.99/125.62 | (7055) all_362_0_868 = 0 % 182.99/125.62 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 182.99/125.62 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 182.99/125.62 | % 182.99/125.62 | Instantiating (371) with all_405_0_872 yields: % 182.99/125.62 | (7058) (all_405_0_872 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_405_0_872 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 182.99/125.62 | % 182.99/125.62 +-Applying beta-rule and splitting (7043), into two cases. % 182.99/125.62 |-Branch one: % 182.99/125.62 | (7059) all_370_0_869 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 182.99/125.62 | % 182.99/125.62 | Applying alpha-rule on (7059) yields: % 182.99/125.62 | (7060) all_370_0_869 = 0 % 182.99/125.62 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 182.99/125.62 | % 182.99/125.62 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 182.99/125.62 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 182.99/125.62 | % 182.99/125.62 | Instantiating (479) with all_413_0_873 yields: % 182.99/125.62 | (7063) (all_413_0_873 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_413_0_873 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 182.99/125.62 | % 182.99/125.62 +-Applying beta-rule and splitting (7048), into two cases. % 182.99/125.62 |-Branch one: % 182.99/125.62 | (7064) all_378_0_870 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 182.99/125.62 | % 182.99/125.63 | Applying alpha-rule on (7064) yields: % 182.99/125.63 | (7065) all_378_0_870 = 0 % 182.99/125.63 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 182.99/125.63 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 182.99/125.63 | % 182.99/125.63 | Instantiating (1787) with all_421_0_874 yields: % 182.99/125.63 | (7068) (all_421_0_874 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_874 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 182.99/125.63 | % 182.99/125.63 +-Applying beta-rule and splitting (7058), into two cases. % 182.99/125.63 |-Branch one: % 182.99/125.63 | (7069) all_405_0_872 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.99/125.63 | % 182.99/125.63 | Applying alpha-rule on (7069) yields: % 182.99/125.63 | (7070) all_405_0_872 = 0 % 182.99/125.63 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.99/125.63 | (393) all_181_1_103 = all_0_3_3 % 182.99/125.63 | % 182.99/125.63 | From (393) and (297) follows: % 182.99/125.63 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.99/125.63 | (212) all_85_0_75 = 0 % 182.99/125.63 | % 182.99/125.63 | Equations (212) can reduce 181 to: % 182.99/125.63 | (173) $false % 182.99/125.63 | % 182.99/125.63 |-The branch is then unsatisfiable % 182.99/125.63 |-Branch two: % 182.99/125.63 | (7076) all_405_0_872 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.99/125.63 | % 182.99/125.63 | Applying alpha-rule on (7076) yields: % 182.99/125.63 | (7070) all_405_0_872 = 0 % 182.99/125.63 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.99/125.63 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.99/125.63 | % 182.99/125.63 | Instantiating (400) with all_437_0_876 yields: % 182.99/125.63 | (7080) (all_437_0_876 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_437_0_876 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.99/125.63 | % 182.99/125.63 +-Applying beta-rule and splitting (7063), into two cases. % 182.99/125.63 |-Branch one: % 182.99/125.63 | (7081) all_413_0_873 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.63 | % 182.99/125.63 | Applying alpha-rule on (7081) yields: % 182.99/125.63 | (7082) all_413_0_873 = 0 % 182.99/125.63 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.99/125.63 | (501) all_226_1_115 = all_0_3_3 % 182.99/125.63 | % 182.99/125.63 | From (501) and (308) follows: % 182.99/125.63 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.99/125.63 | (212) all_85_0_75 = 0 % 182.99/125.63 | % 182.99/125.63 | Equations (212) can reduce 181 to: % 182.99/125.63 | (173) $false % 182.99/125.63 | % 182.99/125.63 |-The branch is then unsatisfiable % 182.99/125.63 |-Branch two: % 182.99/125.63 | (7088) all_413_0_873 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.63 | % 182.99/125.63 | Applying alpha-rule on (7088) yields: % 182.99/125.63 | (7082) all_413_0_873 = 0 % 182.99/125.63 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.99/125.63 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.99/125.63 | % 182.99/125.63 | Instantiating (508) with all_445_0_877 yields: % 182.99/125.63 | (7092) (all_445_0_877 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_877 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.99/125.63 | % 182.99/125.63 +-Applying beta-rule and splitting (7068), into two cases. % 182.99/125.63 |-Branch one: % 182.99/125.63 | (7093) all_421_0_874 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.63 | % 182.99/125.63 | Applying alpha-rule on (7093) yields: % 182.99/125.63 | (7094) all_421_0_874 = 0 % 182.99/125.63 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.99/125.63 | (1809) all_205_2_109 = all_0_3_3 % 182.99/125.63 | % 182.99/125.63 | From (1809) and (315) follows: % 182.99/125.63 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 182.99/125.63 | (212) all_85_0_75 = 0 % 182.99/125.63 | % 182.99/125.63 | Equations (212) can reduce 181 to: % 182.99/125.63 | (173) $false % 182.99/125.63 | % 182.99/125.63 |-The branch is then unsatisfiable % 182.99/125.63 |-Branch two: % 182.99/125.63 | (7100) all_421_0_874 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.63 | % 182.99/125.63 | Applying alpha-rule on (7100) yields: % 182.99/125.63 | (7094) all_421_0_874 = 0 % 182.99/125.63 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.99/125.63 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.99/125.63 | % 182.99/125.63 | Instantiating (1816) with all_453_0_878 yields: % 182.99/125.63 | (7104) (all_453_0_878 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_878 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.99/125.63 | % 182.99/125.63 +-Applying beta-rule and splitting (7080), into two cases. % 182.99/125.63 |-Branch one: % 182.99/125.63 | (7105) all_437_0_876 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.63 | % 182.99/125.63 | Applying alpha-rule on (7105) yields: % 182.99/125.63 | (7106) all_437_0_876 = 0 % 182.99/125.63 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.99/125.63 | (417) all_181_1_103 = all_0_6_6 % 182.99/125.63 | % 182.99/125.63 | From (417) and (259) follows: % 182.99/125.63 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 182.99/125.63 | % 182.99/125.63 +-Applying beta-rule and splitting (7092), into two cases. % 182.99/125.63 |-Branch one: % 182.99/125.63 | (7110) all_445_0_877 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.63 | % 182.99/125.63 | Applying alpha-rule on (7110) yields: % 182.99/125.63 | (7111) all_445_0_877 = 0 % 182.99/125.63 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.99/125.63 | (525) all_226_1_115 = all_0_6_6 % 182.99/125.63 | % 182.99/125.63 | From (525) and (287) follows: % 182.99/125.63 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 182.99/125.63 | (288) all_181_0_102 = 0 % 182.99/125.63 | % 182.99/125.63 | Equations (288) can reduce 258 to: % 182.99/125.63 | (173) $false % 182.99/125.63 | % 182.99/125.63 |-The branch is then unsatisfiable % 182.99/125.63 |-Branch two: % 182.99/125.63 | (7117) all_445_0_877 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.63 | % 182.99/125.63 | Applying alpha-rule on (7117) yields: % 182.99/125.63 | (7111) all_445_0_877 = 0 % 182.99/125.63 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.63 | % 182.99/125.63 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.99/125.63 | (532) all_226_1_115 = all_0_9_9 % 182.99/125.63 | % 182.99/125.63 | From (532) and (286) follows: % 182.99/125.63 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 182.99/125.63 | % 182.99/125.63 +-Applying beta-rule and splitting (7104), into two cases. % 182.99/125.63 |-Branch one: % 182.99/125.64 | (7122) all_453_0_878 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.64 | % 182.99/125.64 | Applying alpha-rule on (7122) yields: % 182.99/125.64 | (7123) all_453_0_878 = 0 % 182.99/125.64 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.99/125.64 | (1833) all_205_2_109 = all_0_6_6 % 182.99/125.64 | % 182.99/125.64 | From (1833) and (296) follows: % 182.99/125.64 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 182.99/125.64 | (288) all_181_0_102 = 0 % 182.99/125.64 | % 182.99/125.64 | Equations (288) can reduce 258 to: % 182.99/125.64 | (173) $false % 182.99/125.64 | % 182.99/125.64 |-The branch is then unsatisfiable % 182.99/125.64 |-Branch two: % 182.99/125.64 | (7129) all_453_0_878 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.64 | % 182.99/125.64 | Applying alpha-rule on (7129) yields: % 182.99/125.64 | (7123) all_453_0_878 = 0 % 182.99/125.64 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.99/125.64 | (1840) all_205_2_109 = all_0_9_9 % 182.99/125.64 | % 182.99/125.64 | From (1840) and (275) follows: % 182.99/125.64 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 182.99/125.64 | (2957) all_226_0_114 = 0 % 182.99/125.64 | % 182.99/125.64 | Equations (2957) can reduce 285 to: % 182.99/125.64 | (173) $false % 182.99/125.64 | % 182.99/125.64 |-The branch is then unsatisfiable % 182.99/125.64 |-Branch two: % 182.99/125.64 | (7136) all_437_0_876 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.99/125.64 | % 182.99/125.64 | Applying alpha-rule on (7136) yields: % 182.99/125.64 | (7106) all_437_0_876 = 0 % 182.99/125.64 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.99/125.64 | (424) all_181_1_103 = all_0_9_9 % 182.99/125.64 | % 182.99/125.64 | From (424) and (259) follows: % 182.99/125.64 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 182.99/125.64 | % 182.99/125.64 +-Applying beta-rule and splitting (7092), into two cases. % 182.99/125.64 |-Branch one: % 182.99/125.64 | (7110) all_445_0_877 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.64 | % 182.99/125.64 | Applying alpha-rule on (7110) yields: % 182.99/125.64 | (7111) all_445_0_877 = 0 % 182.99/125.64 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.99/125.64 | (525) all_226_1_115 = all_0_6_6 % 182.99/125.64 | % 182.99/125.64 | From (525) and (286) follows: % 182.99/125.64 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 182.99/125.64 | % 182.99/125.64 +-Applying beta-rule and splitting (7104), into two cases. % 182.99/125.64 |-Branch one: % 182.99/125.64 | (7122) all_453_0_878 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.64 | % 182.99/125.64 | Applying alpha-rule on (7122) yields: % 182.99/125.64 | (7123) all_453_0_878 = 0 % 182.99/125.64 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.99/125.64 | (1833) all_205_2_109 = all_0_6_6 % 182.99/125.64 | % 182.99/125.64 | From (1833) and (275) follows: % 182.99/125.64 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 182.99/125.64 | (2957) all_226_0_114 = 0 % 182.99/125.64 | % 182.99/125.64 | Equations (2957) can reduce 285 to: % 182.99/125.64 | (173) $false % 182.99/125.64 | % 182.99/125.64 |-The branch is then unsatisfiable % 182.99/125.64 |-Branch two: % 182.99/125.64 | (7129) all_453_0_878 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.64 | % 182.99/125.64 | Applying alpha-rule on (7129) yields: % 182.99/125.64 | (7123) all_453_0_878 = 0 % 182.99/125.64 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.99/125.64 | (1840) all_205_2_109 = all_0_9_9 % 182.99/125.64 | % 182.99/125.64 | From (1840) and (296) follows: % 182.99/125.64 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 182.99/125.64 | (288) all_181_0_102 = 0 % 182.99/125.64 | % 182.99/125.64 | Equations (288) can reduce 258 to: % 182.99/125.64 | (173) $false % 182.99/125.64 | % 182.99/125.64 |-The branch is then unsatisfiable % 182.99/125.64 |-Branch two: % 182.99/125.64 | (7117) all_445_0_877 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.64 | % 182.99/125.64 | Applying alpha-rule on (7117) yields: % 182.99/125.64 | (7111) all_445_0_877 = 0 % 182.99/125.64 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.99/125.64 | (532) all_226_1_115 = all_0_9_9 % 182.99/125.64 | % 182.99/125.64 | From (532) and (287) follows: % 182.99/125.64 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 182.99/125.64 | % 182.99/125.64 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 182.99/125.64 | (288) all_181_0_102 = 0 % 182.99/125.64 | % 182.99/125.64 | Equations (288) can reduce 258 to: % 182.99/125.64 | (173) $false % 182.99/125.64 | % 182.99/125.64 |-The branch is then unsatisfiable % 182.99/125.64 |-Branch two: % 182.99/125.64 | (7167) all_378_0_870 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 182.99/125.64 | % 182.99/125.65 | Applying alpha-rule on (7167) yields: % 182.99/125.65 | (7065) all_378_0_870 = 0 % 182.99/125.65 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 182.99/125.65 | (1890) all_205_2_109 = all_0_5_5 % 182.99/125.65 | % 182.99/125.65 | From (1890) and (309) follows: % 182.99/125.65 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 182.99/125.65 | (233) all_110_0_83 = 0 % 182.99/125.65 | % 182.99/125.65 | Equations (233) can reduce 209 to: % 182.99/125.65 | (173) $false % 182.99/125.65 | % 182.99/125.65 |-The branch is then unsatisfiable % 182.99/125.65 |-Branch two: % 182.99/125.65 | (7174) all_370_0_869 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 182.99/125.65 | % 182.99/125.65 | Applying alpha-rule on (7174) yields: % 182.99/125.65 | (7060) all_370_0_869 = 0 % 182.99/125.65 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 182.99/125.65 | (582) all_226_1_115 = all_0_5_5 % 182.99/125.65 | % 182.99/125.65 | From (582) and (302) follows: % 182.99/125.65 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 182.99/125.65 | (233) all_110_0_83 = 0 % 182.99/125.65 | % 182.99/125.65 | Equations (233) can reduce 209 to: % 182.99/125.65 | (173) $false % 182.99/125.65 | % 182.99/125.65 |-The branch is then unsatisfiable % 182.99/125.65 |-Branch two: % 182.99/125.65 | (7181) all_362_0_868 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 182.99/125.65 | % 182.99/125.65 | Applying alpha-rule on (7181) yields: % 182.99/125.65 | (7055) all_362_0_868 = 0 % 182.99/125.65 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 182.99/125.65 | (474) all_181_1_103 = all_0_5_5 % 182.99/125.65 | % 182.99/125.65 | From (474) and (269) follows: % 182.99/125.65 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 182.99/125.65 | (233) all_110_0_83 = 0 % 182.99/125.65 | % 182.99/125.65 | Equations (233) can reduce 209 to: % 182.99/125.65 | (173) $false % 182.99/125.65 | % 182.99/125.65 |-The branch is then unsatisfiable % 182.99/125.65 |-Branch two: % 182.99/125.65 | (737) all_332_0_132 = 0 & mem(all_85_1_76, all_0_3_3) = 0 % 182.99/125.65 | % 182.99/125.65 | Applying alpha-rule on (737) yields: % 182.99/125.65 | (347) all_332_0_132 = 0 % 182.99/125.65 | (739) mem(all_85_1_76, all_0_3_3) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_85_1_76, all_0_3_3) = 0, yields: % 182.99/125.65 | (740) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_6_6) = 0)) % 182.99/125.65 | % 182.99/125.65 | Instantiating (740) with all_394_0_880 yields: % 182.99/125.65 | (7192) (all_394_0_880 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (all_394_0_880 = 0 & mem(all_85_1_76, all_0_6_6) = 0) % 182.99/125.65 | % 182.99/125.65 +-Applying beta-rule and splitting (7038), into two cases. % 182.99/125.65 |-Branch one: % 182.99/125.65 | (7054) all_362_0_868 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 182.99/125.65 | % 182.99/125.65 | Applying alpha-rule on (7054) yields: % 182.99/125.65 | (7055) all_362_0_868 = 0 % 182.99/125.65 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 182.99/125.65 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 182.99/125.65 | % 182.99/125.65 | Instantiating (371) with all_402_0_881 yields: % 182.99/125.65 | (7197) (all_402_0_881 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_402_0_881 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 182.99/125.65 | % 182.99/125.65 +-Applying beta-rule and splitting (7043), into two cases. % 182.99/125.65 |-Branch one: % 182.99/125.65 | (7059) all_370_0_869 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 182.99/125.65 | % 182.99/125.65 | Applying alpha-rule on (7059) yields: % 182.99/125.65 | (7060) all_370_0_869 = 0 % 182.99/125.65 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 182.99/125.65 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 182.99/125.65 | % 182.99/125.65 | Instantiating (479) with all_410_0_882 yields: % 182.99/125.65 | (7202) (all_410_0_882 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_882 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 182.99/125.65 | % 182.99/125.65 +-Applying beta-rule and splitting (7048), into two cases. % 182.99/125.65 |-Branch one: % 182.99/125.65 | (7064) all_378_0_870 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 182.99/125.65 | % 182.99/125.65 | Applying alpha-rule on (7064) yields: % 182.99/125.65 | (7065) all_378_0_870 = 0 % 182.99/125.65 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 182.99/125.65 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 182.99/125.65 | % 182.99/125.65 | Instantiating (1787) with all_418_0_883 yields: % 182.99/125.65 | (7207) (all_418_0_883 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_883 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 182.99/125.65 | % 182.99/125.65 +-Applying beta-rule and splitting (7192), into two cases. % 182.99/125.65 |-Branch one: % 182.99/125.65 | (7208) all_394_0_880 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 182.99/125.65 | % 182.99/125.65 | Applying alpha-rule on (7208) yields: % 182.99/125.65 | (7209) all_394_0_880 = 0 % 182.99/125.65 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 182.99/125.65 | (760) all_85_1_76 = all_0_6_6 % 182.99/125.65 | % 182.99/125.65 | From (760) and (182) follows: % 182.99/125.65 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 182.99/125.65 | % 182.99/125.65 +-Applying beta-rule and splitting (7197), into two cases. % 182.99/125.65 |-Branch one: % 182.99/125.65 | (7213) all_402_0_881 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.99/125.65 | % 182.99/125.65 | Applying alpha-rule on (7213) yields: % 182.99/125.65 | (7214) all_402_0_881 = 0 % 182.99/125.65 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.99/125.65 | % 182.99/125.65 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.99/125.65 | (393) all_181_1_103 = all_0_3_3 % 182.99/125.65 | % 182.99/125.65 | From (393) and (259) follows: % 182.99/125.65 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 182.99/125.65 | % 182.99/125.65 +-Applying beta-rule and splitting (7202), into two cases. % 182.99/125.65 |-Branch one: % 182.99/125.66 | (7218) all_410_0_882 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.66 | % 182.99/125.66 | Applying alpha-rule on (7218) yields: % 182.99/125.66 | (7219) all_410_0_882 = 0 % 182.99/125.66 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.99/125.66 | (501) all_226_1_115 = all_0_3_3 % 182.99/125.66 | % 182.99/125.66 | From (501) and (287) follows: % 182.99/125.66 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 182.99/125.66 | (288) all_181_0_102 = 0 % 182.99/125.66 | % 182.99/125.66 | Equations (288) can reduce 258 to: % 182.99/125.66 | (173) $false % 182.99/125.66 | % 182.99/125.66 |-The branch is then unsatisfiable % 182.99/125.66 |-Branch two: % 182.99/125.66 | (7225) all_410_0_882 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.66 | % 182.99/125.66 | Applying alpha-rule on (7225) yields: % 182.99/125.66 | (7219) all_410_0_882 = 0 % 182.99/125.66 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.99/125.66 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.99/125.66 | % 182.99/125.66 | Instantiating (508) with all_456_0_885 yields: % 182.99/125.66 | (7229) (all_456_0_885 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_885 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.99/125.66 | % 182.99/125.66 +-Applying beta-rule and splitting (7207), into two cases. % 182.99/125.66 |-Branch one: % 182.99/125.66 | (7230) all_418_0_883 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.66 | % 182.99/125.66 | Applying alpha-rule on (7230) yields: % 182.99/125.66 | (7231) all_418_0_883 = 0 % 182.99/125.66 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.99/125.66 | (1809) all_205_2_109 = all_0_3_3 % 182.99/125.66 | % 182.99/125.66 | From (1809) and (296) follows: % 182.99/125.66 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 182.99/125.66 | (288) all_181_0_102 = 0 % 182.99/125.66 | % 182.99/125.66 | Equations (288) can reduce 258 to: % 182.99/125.66 | (173) $false % 182.99/125.66 | % 182.99/125.66 |-The branch is then unsatisfiable % 182.99/125.66 |-Branch two: % 182.99/125.66 | (7237) all_418_0_883 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.66 | % 182.99/125.66 | Applying alpha-rule on (7237) yields: % 182.99/125.66 | (7231) all_418_0_883 = 0 % 182.99/125.66 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.99/125.66 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.99/125.66 | % 182.99/125.66 | Instantiating (1816) with all_464_0_886 yields: % 182.99/125.66 | (7241) (all_464_0_886 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_886 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.99/125.66 | % 182.99/125.66 +-Applying beta-rule and splitting (7229), into two cases. % 182.99/125.66 |-Branch one: % 182.99/125.66 | (7242) all_456_0_885 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.66 | % 182.99/125.66 | Applying alpha-rule on (7242) yields: % 182.99/125.66 | (7243) all_456_0_885 = 0 % 182.99/125.66 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.99/125.66 | (525) all_226_1_115 = all_0_6_6 % 182.99/125.66 | % 182.99/125.66 | From (525) and (308) follows: % 182.99/125.66 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.99/125.66 | (212) all_85_0_75 = 0 % 182.99/125.66 | % 182.99/125.66 | Equations (212) can reduce 181 to: % 182.99/125.66 | (173) $false % 182.99/125.66 | % 182.99/125.66 |-The branch is then unsatisfiable % 182.99/125.66 |-Branch two: % 182.99/125.66 | (7249) all_456_0_885 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.66 | % 182.99/125.66 | Applying alpha-rule on (7249) yields: % 182.99/125.66 | (7243) all_456_0_885 = 0 % 182.99/125.66 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.99/125.66 | (532) all_226_1_115 = all_0_9_9 % 182.99/125.66 | % 182.99/125.66 | From (532) and (286) follows: % 182.99/125.66 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 182.99/125.66 | % 182.99/125.66 +-Applying beta-rule and splitting (7241), into two cases. % 182.99/125.66 |-Branch one: % 182.99/125.66 | (7254) all_464_0_886 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.66 | % 182.99/125.66 | Applying alpha-rule on (7254) yields: % 182.99/125.66 | (7255) all_464_0_886 = 0 % 182.99/125.66 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.99/125.66 | (1833) all_205_2_109 = all_0_6_6 % 182.99/125.66 | % 182.99/125.66 | From (1833) and (315) follows: % 182.99/125.66 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.99/125.66 | (212) all_85_0_75 = 0 % 182.99/125.66 | % 182.99/125.66 | Equations (212) can reduce 181 to: % 182.99/125.66 | (173) $false % 182.99/125.66 | % 182.99/125.66 |-The branch is then unsatisfiable % 182.99/125.66 |-Branch two: % 182.99/125.66 | (7261) all_464_0_886 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.66 | % 182.99/125.66 | Applying alpha-rule on (7261) yields: % 182.99/125.66 | (7255) all_464_0_886 = 0 % 182.99/125.66 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.99/125.66 | (1840) all_205_2_109 = all_0_9_9 % 182.99/125.66 | % 182.99/125.66 | From (1840) and (275) follows: % 182.99/125.66 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 182.99/125.66 | % 182.99/125.66 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 182.99/125.66 | (2957) all_226_0_114 = 0 % 182.99/125.66 | % 182.99/125.66 | Equations (2957) can reduce 285 to: % 182.99/125.66 | (173) $false % 182.99/125.66 | % 182.99/125.66 |-The branch is then unsatisfiable % 182.99/125.66 |-Branch two: % 182.99/125.66 | (7268) all_402_0_881 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.99/125.66 | % 182.99/125.66 | Applying alpha-rule on (7268) yields: % 182.99/125.67 | (7214) all_402_0_881 = 0 % 182.99/125.67 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.99/125.67 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.99/125.67 | % 182.99/125.67 | Instantiating (400) with all_445_0_888 yields: % 182.99/125.67 | (7272) (all_445_0_888 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_888 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.99/125.67 | % 182.99/125.67 +-Applying beta-rule and splitting (7202), into two cases. % 182.99/125.67 |-Branch one: % 182.99/125.67 | (7218) all_410_0_882 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.67 | % 182.99/125.67 | Applying alpha-rule on (7218) yields: % 182.99/125.67 | (7219) all_410_0_882 = 0 % 182.99/125.67 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.99/125.67 | (501) all_226_1_115 = all_0_3_3 % 182.99/125.67 | % 182.99/125.67 | From (501) and (286) follows: % 182.99/125.67 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 182.99/125.67 | % 182.99/125.67 +-Applying beta-rule and splitting (7207), into two cases. % 182.99/125.67 |-Branch one: % 182.99/125.67 | (7230) all_418_0_883 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.67 | % 182.99/125.67 | Applying alpha-rule on (7230) yields: % 182.99/125.67 | (7231) all_418_0_883 = 0 % 182.99/125.67 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.99/125.67 | (1809) all_205_2_109 = all_0_3_3 % 182.99/125.67 | % 182.99/125.67 | From (1809) and (275) follows: % 182.99/125.67 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 182.99/125.67 | (2957) all_226_0_114 = 0 % 182.99/125.67 | % 182.99/125.67 | Equations (2957) can reduce 285 to: % 182.99/125.67 | (173) $false % 182.99/125.67 | % 182.99/125.67 |-The branch is then unsatisfiable % 182.99/125.67 |-Branch two: % 182.99/125.67 | (7237) all_418_0_883 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.67 | % 182.99/125.67 | Applying alpha-rule on (7237) yields: % 182.99/125.67 | (7231) all_418_0_883 = 0 % 182.99/125.67 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.99/125.67 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.99/125.67 | % 182.99/125.67 | Instantiating (1816) with all_464_0_889 yields: % 182.99/125.67 | (7289) (all_464_0_889 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_889 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.99/125.67 | % 182.99/125.67 +-Applying beta-rule and splitting (7272), into two cases. % 182.99/125.67 |-Branch one: % 182.99/125.67 | (7290) all_445_0_888 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.67 | % 182.99/125.67 | Applying alpha-rule on (7290) yields: % 182.99/125.67 | (7291) all_445_0_888 = 0 % 182.99/125.67 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.99/125.67 | (417) all_181_1_103 = all_0_6_6 % 182.99/125.67 | % 182.99/125.67 | From (417) and (297) follows: % 182.99/125.67 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.99/125.67 | (212) all_85_0_75 = 0 % 182.99/125.67 | % 182.99/125.67 | Equations (212) can reduce 181 to: % 182.99/125.67 | (173) $false % 182.99/125.67 | % 182.99/125.67 |-The branch is then unsatisfiable % 182.99/125.67 |-Branch two: % 182.99/125.67 | (7297) all_445_0_888 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.99/125.67 | % 182.99/125.67 | Applying alpha-rule on (7297) yields: % 182.99/125.67 | (7291) all_445_0_888 = 0 % 182.99/125.67 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.99/125.67 | (424) all_181_1_103 = all_0_9_9 % 182.99/125.67 | % 182.99/125.67 | From (424) and (259) follows: % 182.99/125.67 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 182.99/125.67 | % 182.99/125.67 +-Applying beta-rule and splitting (7289), into two cases. % 182.99/125.67 |-Branch one: % 182.99/125.67 | (7302) all_464_0_889 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.67 | % 182.99/125.67 | Applying alpha-rule on (7302) yields: % 182.99/125.67 | (7303) all_464_0_889 = 0 % 182.99/125.67 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.99/125.67 | (1833) all_205_2_109 = all_0_6_6 % 182.99/125.67 | % 182.99/125.67 | From (1833) and (315) follows: % 182.99/125.67 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.99/125.67 | (212) all_85_0_75 = 0 % 182.99/125.67 | % 182.99/125.67 | Equations (212) can reduce 181 to: % 182.99/125.67 | (173) $false % 182.99/125.67 | % 182.99/125.67 |-The branch is then unsatisfiable % 182.99/125.67 |-Branch two: % 182.99/125.67 | (7309) all_464_0_889 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.67 | % 182.99/125.67 | Applying alpha-rule on (7309) yields: % 182.99/125.67 | (7303) all_464_0_889 = 0 % 182.99/125.67 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.99/125.67 | (1840) all_205_2_109 = all_0_9_9 % 182.99/125.67 | % 182.99/125.67 | From (1840) and (296) follows: % 182.99/125.67 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 182.99/125.67 | (288) all_181_0_102 = 0 % 182.99/125.67 | % 182.99/125.67 | Equations (288) can reduce 258 to: % 182.99/125.67 | (173) $false % 182.99/125.67 | % 182.99/125.67 |-The branch is then unsatisfiable % 182.99/125.67 |-Branch two: % 182.99/125.67 | (7225) all_410_0_882 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.67 | % 182.99/125.67 | Applying alpha-rule on (7225) yields: % 182.99/125.67 | (7219) all_410_0_882 = 0 % 182.99/125.67 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.67 | % 182.99/125.67 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.99/125.67 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.99/125.67 | % 182.99/125.67 | Instantiating (508) with all_453_0_891 yields: % 182.99/125.68 | (7320) (all_453_0_891 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_891 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.99/125.68 | % 182.99/125.68 +-Applying beta-rule and splitting (7272), into two cases. % 182.99/125.68 |-Branch one: % 182.99/125.68 | (7290) all_445_0_888 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.68 | % 182.99/125.68 | Applying alpha-rule on (7290) yields: % 182.99/125.68 | (7291) all_445_0_888 = 0 % 182.99/125.68 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.99/125.68 | (417) all_181_1_103 = all_0_6_6 % 182.99/125.68 | % 182.99/125.68 | From (417) and (297) follows: % 182.99/125.68 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.99/125.68 | (212) all_85_0_75 = 0 % 182.99/125.68 | % 182.99/125.68 | Equations (212) can reduce 181 to: % 182.99/125.68 | (173) $false % 182.99/125.68 | % 182.99/125.68 |-The branch is then unsatisfiable % 182.99/125.68 |-Branch two: % 182.99/125.68 | (7297) all_445_0_888 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.99/125.68 | % 182.99/125.68 | Applying alpha-rule on (7297) yields: % 182.99/125.68 | (7291) all_445_0_888 = 0 % 182.99/125.68 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.99/125.68 | (424) all_181_1_103 = all_0_9_9 % 182.99/125.68 | % 182.99/125.68 | From (424) and (259) follows: % 182.99/125.68 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 182.99/125.68 | % 182.99/125.68 +-Applying beta-rule and splitting (7320), into two cases. % 182.99/125.68 |-Branch one: % 182.99/125.68 | (7333) all_453_0_891 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.68 | % 182.99/125.68 | Applying alpha-rule on (7333) yields: % 182.99/125.68 | (7334) all_453_0_891 = 0 % 182.99/125.68 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.99/125.68 | (525) all_226_1_115 = all_0_6_6 % 182.99/125.68 | % 182.99/125.68 | From (525) and (308) follows: % 182.99/125.68 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 182.99/125.68 | (212) all_85_0_75 = 0 % 182.99/125.68 | % 182.99/125.68 | Equations (212) can reduce 181 to: % 182.99/125.68 | (173) $false % 182.99/125.68 | % 182.99/125.68 |-The branch is then unsatisfiable % 182.99/125.68 |-Branch two: % 182.99/125.68 | (7340) all_453_0_891 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.68 | % 182.99/125.68 | Applying alpha-rule on (7340) yields: % 182.99/125.68 | (7334) all_453_0_891 = 0 % 182.99/125.68 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.99/125.68 | (532) all_226_1_115 = all_0_9_9 % 182.99/125.68 | % 182.99/125.68 | From (532) and (287) follows: % 182.99/125.68 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 182.99/125.68 | (288) all_181_0_102 = 0 % 182.99/125.68 | % 182.99/125.68 | Equations (288) can reduce 258 to: % 182.99/125.68 | (173) $false % 182.99/125.68 | % 182.99/125.68 |-The branch is then unsatisfiable % 182.99/125.68 |-Branch two: % 182.99/125.68 | (7347) all_394_0_880 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 182.99/125.68 | % 182.99/125.68 | Applying alpha-rule on (7347) yields: % 182.99/125.68 | (7209) all_394_0_880 = 0 % 182.99/125.68 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 182.99/125.68 | (815) all_85_1_76 = all_0_9_9 % 182.99/125.68 | % 182.99/125.68 | From (815) and (182) follows: % 182.99/125.68 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 182.99/125.68 | % 182.99/125.68 +-Applying beta-rule and splitting (7197), into two cases. % 182.99/125.68 |-Branch one: % 182.99/125.68 | (7213) all_402_0_881 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 182.99/125.68 | % 182.99/125.68 | Applying alpha-rule on (7213) yields: % 182.99/125.68 | (7214) all_402_0_881 = 0 % 182.99/125.68 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 182.99/125.68 | (393) all_181_1_103 = all_0_3_3 % 182.99/125.68 | % 182.99/125.68 | From (393) and (259) follows: % 182.99/125.68 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 182.99/125.68 | % 182.99/125.68 +-Applying beta-rule and splitting (7202), into two cases. % 182.99/125.68 |-Branch one: % 182.99/125.68 | (7218) all_410_0_882 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.68 | % 182.99/125.68 | Applying alpha-rule on (7218) yields: % 182.99/125.68 | (7219) all_410_0_882 = 0 % 182.99/125.68 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.99/125.68 | (501) all_226_1_115 = all_0_3_3 % 182.99/125.68 | % 182.99/125.68 | From (501) and (287) follows: % 182.99/125.68 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 182.99/125.68 | (288) all_181_0_102 = 0 % 182.99/125.68 | % 182.99/125.68 | Equations (288) can reduce 258 to: % 182.99/125.68 | (173) $false % 182.99/125.68 | % 182.99/125.68 |-The branch is then unsatisfiable % 182.99/125.68 |-Branch two: % 182.99/125.68 | (7225) all_410_0_882 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.68 | % 182.99/125.68 | Applying alpha-rule on (7225) yields: % 182.99/125.68 | (7219) all_410_0_882 = 0 % 182.99/125.68 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.68 | % 182.99/125.68 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.99/125.68 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.99/125.68 | % 182.99/125.68 | Instantiating (508) with all_456_0_905 yields: % 182.99/125.68 | (7368) (all_456_0_905 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_905 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.99/125.68 | % 182.99/125.68 +-Applying beta-rule and splitting (7207), into two cases. % 182.99/125.68 |-Branch one: % 182.99/125.68 | (7230) all_418_0_883 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.68 | % 182.99/125.68 | Applying alpha-rule on (7230) yields: % 182.99/125.68 | (7231) all_418_0_883 = 0 % 182.99/125.68 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.99/125.69 | (1809) all_205_2_109 = all_0_3_3 % 182.99/125.69 | % 182.99/125.69 | From (1809) and (296) follows: % 182.99/125.69 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 182.99/125.69 | (288) all_181_0_102 = 0 % 182.99/125.69 | % 182.99/125.69 | Equations (288) can reduce 258 to: % 182.99/125.69 | (173) $false % 182.99/125.69 | % 182.99/125.69 |-The branch is then unsatisfiable % 182.99/125.69 |-Branch two: % 182.99/125.69 | (7237) all_418_0_883 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.69 | % 182.99/125.69 | Applying alpha-rule on (7237) yields: % 182.99/125.69 | (7231) all_418_0_883 = 0 % 182.99/125.69 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.99/125.69 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.99/125.69 | % 182.99/125.69 | Instantiating (1816) with all_464_0_906 yields: % 182.99/125.69 | (7380) (all_464_0_906 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_906 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.99/125.69 | % 182.99/125.69 +-Applying beta-rule and splitting (7368), into two cases. % 182.99/125.69 |-Branch one: % 182.99/125.69 | (7381) all_456_0_905 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.69 | % 182.99/125.69 | Applying alpha-rule on (7381) yields: % 182.99/125.69 | (7382) all_456_0_905 = 0 % 182.99/125.69 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.99/125.69 | (525) all_226_1_115 = all_0_6_6 % 182.99/125.69 | % 182.99/125.69 | From (525) and (286) follows: % 182.99/125.69 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 182.99/125.69 | % 182.99/125.69 +-Applying beta-rule and splitting (7380), into two cases. % 182.99/125.69 |-Branch one: % 182.99/125.69 | (7386) all_464_0_906 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.69 | % 182.99/125.69 | Applying alpha-rule on (7386) yields: % 182.99/125.69 | (7387) all_464_0_906 = 0 % 182.99/125.69 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.99/125.69 | (1833) all_205_2_109 = all_0_6_6 % 182.99/125.69 | % 182.99/125.69 | From (1833) and (275) follows: % 182.99/125.69 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 182.99/125.69 | (2957) all_226_0_114 = 0 % 182.99/125.69 | % 182.99/125.69 | Equations (2957) can reduce 285 to: % 182.99/125.69 | (173) $false % 182.99/125.69 | % 182.99/125.69 |-The branch is then unsatisfiable % 182.99/125.69 |-Branch two: % 182.99/125.69 | (7393) all_464_0_906 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.69 | % 182.99/125.69 | Applying alpha-rule on (7393) yields: % 182.99/125.69 | (7387) all_464_0_906 = 0 % 182.99/125.69 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.99/125.69 | (1840) all_205_2_109 = all_0_9_9 % 182.99/125.69 | % 182.99/125.69 | From (1840) and (315) follows: % 182.99/125.69 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.99/125.69 | (212) all_85_0_75 = 0 % 182.99/125.69 | % 182.99/125.69 | Equations (212) can reduce 181 to: % 182.99/125.69 | (173) $false % 182.99/125.69 | % 182.99/125.69 |-The branch is then unsatisfiable % 182.99/125.69 |-Branch two: % 182.99/125.69 | (7400) all_456_0_905 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.69 | % 182.99/125.69 | Applying alpha-rule on (7400) yields: % 182.99/125.69 | (7382) all_456_0_905 = 0 % 182.99/125.69 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.99/125.69 | (532) all_226_1_115 = all_0_9_9 % 182.99/125.69 | % 182.99/125.69 | From (532) and (308) follows: % 182.99/125.69 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.99/125.69 | (212) all_85_0_75 = 0 % 182.99/125.69 | % 182.99/125.69 | Equations (212) can reduce 181 to: % 182.99/125.69 | (173) $false % 182.99/125.69 | % 182.99/125.69 |-The branch is then unsatisfiable % 182.99/125.69 |-Branch two: % 182.99/125.69 | (7268) all_402_0_881 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 182.99/125.69 | % 182.99/125.69 | Applying alpha-rule on (7268) yields: % 182.99/125.69 | (7214) all_402_0_881 = 0 % 182.99/125.69 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 182.99/125.69 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 182.99/125.69 | % 182.99/125.69 | Instantiating (400) with all_445_0_908 yields: % 182.99/125.69 | (7411) (all_445_0_908 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_908 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 182.99/125.69 | % 182.99/125.69 +-Applying beta-rule and splitting (7202), into two cases. % 182.99/125.69 |-Branch one: % 182.99/125.69 | (7218) all_410_0_882 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.69 | % 182.99/125.69 | Applying alpha-rule on (7218) yields: % 182.99/125.69 | (7219) all_410_0_882 = 0 % 182.99/125.69 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 182.99/125.69 | (501) all_226_1_115 = all_0_3_3 % 182.99/125.69 | % 182.99/125.69 | From (501) and (286) follows: % 182.99/125.69 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 182.99/125.69 | % 182.99/125.69 +-Applying beta-rule and splitting (7207), into two cases. % 182.99/125.69 |-Branch one: % 182.99/125.69 | (7230) all_418_0_883 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.69 | % 182.99/125.69 | Applying alpha-rule on (7230) yields: % 182.99/125.69 | (7231) all_418_0_883 = 0 % 182.99/125.69 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 182.99/125.69 | % 182.99/125.69 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 182.99/125.70 | (1809) all_205_2_109 = all_0_3_3 % 182.99/125.70 | % 182.99/125.70 | From (1809) and (275) follows: % 182.99/125.70 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 182.99/125.70 | (2957) all_226_0_114 = 0 % 182.99/125.70 | % 182.99/125.70 | Equations (2957) can reduce 285 to: % 182.99/125.70 | (173) $false % 182.99/125.70 | % 182.99/125.70 |-The branch is then unsatisfiable % 182.99/125.70 |-Branch two: % 182.99/125.70 | (7237) all_418_0_883 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.70 | % 182.99/125.70 | Applying alpha-rule on (7237) yields: % 182.99/125.70 | (7231) all_418_0_883 = 0 % 182.99/125.70 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 182.99/125.70 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 182.99/125.70 | % 182.99/125.70 | Instantiating (1816) with all_464_0_909 yields: % 182.99/125.70 | (7428) (all_464_0_909 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_909 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 182.99/125.70 | % 182.99/125.70 +-Applying beta-rule and splitting (7411), into two cases. % 182.99/125.70 |-Branch one: % 182.99/125.70 | (7429) all_445_0_908 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.70 | % 182.99/125.70 | Applying alpha-rule on (7429) yields: % 182.99/125.70 | (7430) all_445_0_908 = 0 % 182.99/125.70 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.99/125.70 | (417) all_181_1_103 = all_0_6_6 % 182.99/125.70 | % 182.99/125.70 | From (417) and (259) follows: % 182.99/125.70 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 182.99/125.70 | % 182.99/125.70 +-Applying beta-rule and splitting (7428), into two cases. % 182.99/125.70 |-Branch one: % 182.99/125.70 | (7434) all_464_0_909 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.70 | % 182.99/125.70 | Applying alpha-rule on (7434) yields: % 182.99/125.70 | (7435) all_464_0_909 = 0 % 182.99/125.70 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 182.99/125.70 | (1833) all_205_2_109 = all_0_6_6 % 182.99/125.70 | % 182.99/125.70 | From (1833) and (296) follows: % 182.99/125.70 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 182.99/125.70 | (288) all_181_0_102 = 0 % 182.99/125.70 | % 182.99/125.70 | Equations (288) can reduce 258 to: % 182.99/125.70 | (173) $false % 182.99/125.70 | % 182.99/125.70 |-The branch is then unsatisfiable % 182.99/125.70 |-Branch two: % 182.99/125.70 | (7441) all_464_0_909 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.70 | % 182.99/125.70 | Applying alpha-rule on (7441) yields: % 182.99/125.70 | (7435) all_464_0_909 = 0 % 182.99/125.70 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 182.99/125.70 | (1840) all_205_2_109 = all_0_9_9 % 182.99/125.70 | % 182.99/125.70 | From (1840) and (315) follows: % 182.99/125.70 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.99/125.70 | (212) all_85_0_75 = 0 % 182.99/125.70 | % 182.99/125.70 | Equations (212) can reduce 181 to: % 182.99/125.70 | (173) $false % 182.99/125.70 | % 182.99/125.70 |-The branch is then unsatisfiable % 182.99/125.70 |-Branch two: % 182.99/125.70 | (7448) all_445_0_908 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 182.99/125.70 | % 182.99/125.70 | Applying alpha-rule on (7448) yields: % 182.99/125.70 | (7430) all_445_0_908 = 0 % 182.99/125.70 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 182.99/125.70 | (424) all_181_1_103 = all_0_9_9 % 182.99/125.70 | % 182.99/125.70 | From (424) and (297) follows: % 182.99/125.70 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.99/125.70 | (212) all_85_0_75 = 0 % 182.99/125.70 | % 182.99/125.70 | Equations (212) can reduce 181 to: % 182.99/125.70 | (173) $false % 182.99/125.70 | % 182.99/125.70 |-The branch is then unsatisfiable % 182.99/125.70 |-Branch two: % 182.99/125.70 | (7225) all_410_0_882 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.70 | % 182.99/125.70 | Applying alpha-rule on (7225) yields: % 182.99/125.70 | (7219) all_410_0_882 = 0 % 182.99/125.70 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 182.99/125.70 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 182.99/125.70 | % 182.99/125.70 | Instantiating (508) with all_453_0_911 yields: % 182.99/125.70 | (7459) (all_453_0_911 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_911 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 182.99/125.70 | % 182.99/125.70 +-Applying beta-rule and splitting (7411), into two cases. % 182.99/125.70 |-Branch one: % 182.99/125.70 | (7429) all_445_0_908 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.70 | % 182.99/125.70 | Applying alpha-rule on (7429) yields: % 182.99/125.70 | (7430) all_445_0_908 = 0 % 182.99/125.70 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 182.99/125.70 | (417) all_181_1_103 = all_0_6_6 % 182.99/125.70 | % 182.99/125.70 | From (417) and (259) follows: % 182.99/125.70 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 182.99/125.70 | % 182.99/125.70 +-Applying beta-rule and splitting (7459), into two cases. % 182.99/125.70 |-Branch one: % 182.99/125.70 | (7465) all_453_0_911 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.70 | % 182.99/125.70 | Applying alpha-rule on (7465) yields: % 182.99/125.70 | (7466) all_453_0_911 = 0 % 182.99/125.70 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 182.99/125.70 | (525) all_226_1_115 = all_0_6_6 % 182.99/125.70 | % 182.99/125.70 | From (525) and (287) follows: % 182.99/125.70 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 182.99/125.70 | % 182.99/125.70 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 182.99/125.70 | (288) all_181_0_102 = 0 % 182.99/125.70 | % 182.99/125.70 | Equations (288) can reduce 258 to: % 182.99/125.70 | (173) $false % 182.99/125.70 | % 182.99/125.70 |-The branch is then unsatisfiable % 182.99/125.70 |-Branch two: % 182.99/125.70 | (7472) all_453_0_911 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.70 | % 182.99/125.70 | Applying alpha-rule on (7472) yields: % 182.99/125.71 | (7466) all_453_0_911 = 0 % 182.99/125.71 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 182.99/125.71 | % 182.99/125.71 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 182.99/125.71 | (532) all_226_1_115 = all_0_9_9 % 182.99/125.71 | % 182.99/125.71 | From (532) and (308) follows: % 182.99/125.71 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 182.99/125.71 | % 182.99/125.71 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 182.99/125.71 | (212) all_85_0_75 = 0 % 182.99/125.71 | % 182.99/125.71 | Equations (212) can reduce 181 to: % 182.99/125.71 | (173) $false % 182.99/125.71 | % 182.99/125.71 |-The branch is then unsatisfiable % 183.32/125.71 |-Branch two: % 183.32/125.71 | (7448) all_445_0_908 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.71 | % 183.32/125.71 | Applying alpha-rule on (7448) yields: % 183.32/125.71 | (7430) all_445_0_908 = 0 % 183.32/125.71 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.32/125.71 | (424) all_181_1_103 = all_0_9_9 % 183.32/125.71 | % 183.32/125.71 | From (424) and (297) follows: % 183.32/125.71 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 183.32/125.71 | (212) all_85_0_75 = 0 % 183.32/125.71 | % 183.32/125.71 | Equations (212) can reduce 181 to: % 183.32/125.71 | (173) $false % 183.32/125.71 | % 183.32/125.71 |-The branch is then unsatisfiable % 183.32/125.71 |-Branch two: % 183.32/125.71 | (7167) all_378_0_870 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 183.32/125.71 | % 183.32/125.71 | Applying alpha-rule on (7167) yields: % 183.32/125.71 | (7065) all_378_0_870 = 0 % 183.32/125.71 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 183.32/125.71 | (1890) all_205_2_109 = all_0_5_5 % 183.32/125.71 | % 183.32/125.71 | From (1890) and (309) follows: % 183.32/125.71 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 183.32/125.71 | (233) all_110_0_83 = 0 % 183.32/125.71 | % 183.32/125.71 | Equations (233) can reduce 209 to: % 183.32/125.71 | (173) $false % 183.32/125.71 | % 183.32/125.71 |-The branch is then unsatisfiable % 183.32/125.71 |-Branch two: % 183.32/125.71 | (7174) all_370_0_869 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 183.32/125.71 | % 183.32/125.71 | Applying alpha-rule on (7174) yields: % 183.32/125.71 | (7060) all_370_0_869 = 0 % 183.32/125.71 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 183.32/125.71 | (582) all_226_1_115 = all_0_5_5 % 183.32/125.71 | % 183.32/125.71 | From (582) and (302) follows: % 183.32/125.71 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 183.32/125.71 | (233) all_110_0_83 = 0 % 183.32/125.71 | % 183.32/125.71 | Equations (233) can reduce 209 to: % 183.32/125.71 | (173) $false % 183.32/125.71 | % 183.32/125.71 |-The branch is then unsatisfiable % 183.32/125.71 |-Branch two: % 183.32/125.71 | (7181) all_362_0_868 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 183.32/125.71 | % 183.32/125.71 | Applying alpha-rule on (7181) yields: % 183.32/125.71 | (7055) all_362_0_868 = 0 % 183.32/125.71 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 183.32/125.71 | (474) all_181_1_103 = all_0_5_5 % 183.32/125.71 | % 183.32/125.71 | From (474) and (269) follows: % 183.32/125.71 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 183.32/125.71 | (233) all_110_0_83 = 0 % 183.32/125.71 | % 183.32/125.71 | Equations (233) can reduce 209 to: % 183.32/125.71 | (173) $false % 183.32/125.71 | % 183.32/125.71 |-The branch is then unsatisfiable % 183.32/125.71 |-Branch two: % 183.32/125.71 | (2952) all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 183.32/125.71 | % 183.32/125.71 | Applying alpha-rule on (2952) yields: % 183.32/125.71 | (1650) all_318_0_130 = 0 % 183.32/125.71 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 183.32/125.71 | (2955) all_205_2_109 = all_0_8_8 % 183.32/125.71 | % 183.32/125.71 | From (2955) and (303) follows: % 183.32/125.71 | (7012) mem(all_0_8_8, all_99_1_80) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (58) with all_0_8_8, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_8_8, all_99_1_80) = all_135_0_89, mem(all_0_8_8, all_99_1_80) = 0, yields: % 183.32/125.71 | (261) all_135_0_89 = 0 % 183.32/125.71 | % 183.32/125.71 | Equations (261) can reduce 230 to: % 183.32/125.71 | (173) $false % 183.32/125.71 | % 183.32/125.71 |-The branch is then unsatisfiable % 183.32/125.71 |-Branch two: % 183.32/125.71 | (1644) all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 183.32/125.71 | % 183.32/125.71 | Applying alpha-rule on (1644) yields: % 183.32/125.71 | (342) all_311_0_129 = 0 % 183.32/125.71 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 183.32/125.71 | (1647) all_226_1_115 = all_0_8_8 % 183.32/125.71 | % 183.32/125.71 | From (1647) and (295) follows: % 183.32/125.71 | (7012) mem(all_0_8_8, all_99_1_80) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (58) with all_0_8_8, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_8_8, all_99_1_80) = all_135_0_89, mem(all_0_8_8, all_99_1_80) = 0, yields: % 183.32/125.71 | (261) all_135_0_89 = 0 % 183.32/125.71 | % 183.32/125.71 | Equations (261) can reduce 230 to: % 183.32/125.71 | (173) $false % 183.32/125.71 | % 183.32/125.71 |-The branch is then unsatisfiable % 183.32/125.71 |-Branch two: % 183.32/125.71 | (2959) all_292_0_126 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 183.32/125.71 | % 183.32/125.71 | Applying alpha-rule on (2959) yields: % 183.32/125.71 | (337) all_292_0_126 = 0 % 183.32/125.71 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 183.32/125.71 | % 183.32/125.71 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 183.32/125.71 | (2962) all_181_1_103 = all_0_8_8 % 183.32/125.71 | % 183.32/125.71 | From (2962) and (260) follows: % 183.32/125.72 | (7012) mem(all_0_8_8, all_99_1_80) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (58) with all_0_8_8, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_8_8, all_99_1_80) = all_135_0_89, mem(all_0_8_8, all_99_1_80) = 0, yields: % 183.32/125.72 | (261) all_135_0_89 = 0 % 183.32/125.72 | % 183.32/125.72 | Equations (261) can reduce 230 to: % 183.32/125.72 | (173) $false % 183.32/125.72 | % 183.32/125.72 |-The branch is then unsatisfiable % 183.32/125.72 |-Branch two: % 183.32/125.72 | (7528) all_254_0_118 = 0 & mem(all_85_1_76, all_0_4_4) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (7528) yields: % 183.32/125.72 | (322) all_254_0_118 = 0 % 183.32/125.72 | (7530) mem(all_85_1_76, all_0_4_4) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_85_1_76 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_85_1_76, all_0_4_4) = 0, yields: % 183.32/125.72 | (7531) all_85_1_76 = all_0_5_5 % 183.32/125.72 | % 183.32/125.72 | From (7531) and (182) follows: % 183.32/125.72 | (7532) mem(all_0_5_5, all_57_1_65) = all_85_0_75 % 183.32/125.72 | % 183.32/125.72 +-Applying beta-rule and splitting (301), into two cases. % 183.32/125.72 |-Branch one: % 183.32/125.72 | (326) all_255_0_119 = 0 & mem(all_135_1_90, all_0_1_1) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (326) yields: % 183.32/125.72 | (327) all_255_0_119 = 0 % 183.32/125.72 | (328) mem(all_135_1_90, all_0_1_1) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_135_1_90 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_135_1_90, all_0_1_1) = 0, yields: % 183.32/125.72 | (329) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_4_4) = 0)) % 183.32/125.72 | % 183.32/125.72 | Instantiating (329) with all_343_0_925 yields: % 183.32/125.72 | (7537) (all_343_0_925 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (all_343_0_925 = 0 & mem(all_135_1_90, all_0_4_4) = 0) % 183.32/125.72 | % 183.32/125.72 +-Applying beta-rule and splitting (312), into two cases. % 183.32/125.72 |-Branch one: % 183.32/125.72 | (331) all_291_0_125 = 0 & mem(all_110_1_84, all_0_2_2) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (331) yields: % 183.32/125.72 | (332) all_291_0_125 = 0 % 183.32/125.72 | (333) mem(all_110_1_84, all_0_2_2) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_110_1_84, all_0_2_2) = 0, yields: % 183.32/125.72 | (334) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_3_3) = 0)) % 183.32/125.72 | % 183.32/125.72 | Instantiating (334) with all_351_0_926 yields: % 183.32/125.72 | (7542) (all_351_0_926 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (all_351_0_926 = 0 & mem(all_110_1_84, all_0_3_3) = 0) % 183.32/125.72 | % 183.32/125.72 +-Applying beta-rule and splitting (313), into two cases. % 183.32/125.72 |-Branch one: % 183.32/125.72 | (336) all_292_0_126 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (336) yields: % 183.32/125.72 | (337) all_292_0_126 = 0 % 183.32/125.72 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 183.32/125.72 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 183.32/125.72 | % 183.32/125.72 | Instantiating (339) with all_359_0_927 yields: % 183.32/125.72 | (7547) (all_359_0_927 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_359_0_927 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 183.32/125.72 | % 183.32/125.72 +-Applying beta-rule and splitting (318), into two cases. % 183.32/125.72 |-Branch one: % 183.32/125.72 | (341) all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (341) yields: % 183.32/125.72 | (342) all_311_0_129 = 0 % 183.32/125.72 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 183.32/125.72 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 183.32/125.72 | % 183.32/125.72 | Instantiating (344) with all_367_0_928 yields: % 183.32/125.72 | (7552) (all_367_0_928 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_367_0_928 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 183.32/125.72 | % 183.32/125.72 +-Applying beta-rule and splitting (7537), into two cases. % 183.32/125.72 |-Branch one: % 183.32/125.72 | (7553) all_343_0_925 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (7553) yields: % 183.32/125.72 | (7554) all_343_0_925 = 0 % 183.32/125.72 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 183.32/125.72 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 183.32/125.72 | % 183.32/125.72 | Instantiating (354) with all_391_0_931 yields: % 183.32/125.72 | (7557) (all_391_0_931 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_391_0_931 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 183.32/125.72 | % 183.32/125.72 +-Applying beta-rule and splitting (7542), into two cases. % 183.32/125.72 |-Branch one: % 183.32/125.72 | (7558) all_351_0_926 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (7558) yields: % 183.32/125.72 | (7559) all_351_0_926 = 0 % 183.32/125.72 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 183.32/125.72 | (359) all_110_1_84 = all_0_3_3 % 183.32/125.72 | % 183.32/125.72 | From (359) and (210) follows: % 183.32/125.72 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 183.32/125.72 | % 183.32/125.72 +-Applying beta-rule and splitting (7547), into two cases. % 183.32/125.72 |-Branch one: % 183.32/125.72 | (7563) all_359_0_927 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (7563) yields: % 183.32/125.72 | (7564) all_359_0_927 = 0 % 183.32/125.72 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 183.32/125.72 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 183.32/125.72 | % 183.32/125.72 | Instantiating (371) with all_410_0_932 yields: % 183.32/125.72 | (7567) (all_410_0_932 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_410_0_932 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 183.32/125.72 | % 183.32/125.72 +-Applying beta-rule and splitting (7552), into two cases. % 183.32/125.72 |-Branch one: % 183.32/125.72 | (7568) all_367_0_928 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (7568) yields: % 183.32/125.72 | (7569) all_367_0_928 = 0 % 183.32/125.72 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 183.32/125.72 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 183.32/125.72 | % 183.32/125.72 | Instantiating (479) with all_418_0_933 yields: % 183.32/125.72 | (7572) (all_418_0_933 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_418_0_933 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 183.32/125.72 | % 183.32/125.72 +-Applying beta-rule and splitting (7557), into two cases. % 183.32/125.72 |-Branch one: % 183.32/125.72 | (7573) all_391_0_931 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 183.32/125.72 | % 183.32/125.72 | Applying alpha-rule on (7573) yields: % 183.32/125.72 | (7574) all_391_0_931 = 0 % 183.32/125.72 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 183.32/125.72 | % 183.32/125.72 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 183.32/125.72 | (376) all_135_1_90 = all_0_3_3 % 183.32/125.72 | % 183.32/125.72 | From (376) and (232) follows: % 183.32/125.73 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 183.32/125.73 | (233) all_110_0_83 = 0 % 183.32/125.73 | % 183.32/125.73 | Equations (233) can reduce 209 to: % 183.32/125.73 | (173) $false % 183.32/125.73 | % 183.32/125.73 |-The branch is then unsatisfiable % 183.32/125.73 |-Branch two: % 183.32/125.73 | (7580) all_391_0_931 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7580) yields: % 183.32/125.73 | (7574) all_391_0_931 = 0 % 183.32/125.73 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 183.32/125.73 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 183.32/125.73 | % 183.32/125.73 | Instantiating (383) with all_442_0_936 yields: % 183.32/125.73 | (7584) (all_442_0_936 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_442_0_936 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 183.32/125.73 | % 183.32/125.73 +-Applying beta-rule and splitting (7567), into two cases. % 183.32/125.73 |-Branch one: % 183.32/125.73 | (7585) all_410_0_932 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7585) yields: % 183.32/125.73 | (7586) all_410_0_932 = 0 % 183.32/125.73 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.32/125.73 | (393) all_181_1_103 = all_0_3_3 % 183.32/125.73 | % 183.32/125.73 | From (393) and (269) follows: % 183.32/125.73 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 183.32/125.73 | (233) all_110_0_83 = 0 % 183.32/125.73 | % 183.32/125.73 | Equations (233) can reduce 209 to: % 183.32/125.73 | (173) $false % 183.32/125.73 | % 183.32/125.73 |-The branch is then unsatisfiable % 183.32/125.73 |-Branch two: % 183.32/125.73 | (7592) all_410_0_932 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7592) yields: % 183.32/125.73 | (7586) all_410_0_932 = 0 % 183.32/125.73 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.32/125.73 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.32/125.73 | % 183.32/125.73 | Instantiating (400) with all_450_0_937 yields: % 183.32/125.73 | (7596) (all_450_0_937 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_450_0_937 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.32/125.73 | % 183.32/125.73 +-Applying beta-rule and splitting (7572), into two cases. % 183.32/125.73 |-Branch one: % 183.32/125.73 | (7597) all_418_0_933 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7597) yields: % 183.32/125.73 | (7598) all_418_0_933 = 0 % 183.32/125.73 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 183.32/125.73 | (501) all_226_1_115 = all_0_3_3 % 183.32/125.73 | % 183.32/125.73 | From (501) and (302) follows: % 183.32/125.73 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 183.32/125.73 | (233) all_110_0_83 = 0 % 183.32/125.73 | % 183.32/125.73 | Equations (233) can reduce 209 to: % 183.32/125.73 | (173) $false % 183.32/125.73 | % 183.32/125.73 |-The branch is then unsatisfiable % 183.32/125.73 |-Branch two: % 183.32/125.73 | (7604) all_418_0_933 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7604) yields: % 183.32/125.73 | (7598) all_418_0_933 = 0 % 183.32/125.73 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 183.32/125.73 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 183.32/125.73 | % 183.32/125.73 | Instantiating (508) with all_458_0_938 yields: % 183.32/125.73 | (7608) (all_458_0_938 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_458_0_938 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 183.32/125.73 | % 183.32/125.73 +-Applying beta-rule and splitting (7584), into two cases. % 183.32/125.73 |-Branch one: % 183.32/125.73 | (7609) all_442_0_936 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7609) yields: % 183.32/125.73 | (7610) all_442_0_936 = 0 % 183.32/125.73 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.32/125.73 | (405) all_135_1_90 = all_0_6_6 % 183.32/125.73 | % 183.32/125.73 | From (405) and (231) follows: % 183.32/125.73 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 183.32/125.73 | % 183.32/125.73 +-Applying beta-rule and splitting (7596), into two cases. % 183.32/125.73 |-Branch one: % 183.32/125.73 | (7614) all_450_0_937 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7614) yields: % 183.32/125.73 | (7615) all_450_0_937 = 0 % 183.32/125.73 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.32/125.73 | (417) all_181_1_103 = all_0_6_6 % 183.32/125.73 | % 183.32/125.73 | From (417) and (260) follows: % 183.32/125.73 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 183.32/125.73 | (261) all_135_0_89 = 0 % 183.32/125.73 | % 183.32/125.73 | Equations (261) can reduce 230 to: % 183.32/125.73 | (173) $false % 183.32/125.73 | % 183.32/125.73 |-The branch is then unsatisfiable % 183.32/125.73 |-Branch two: % 183.32/125.73 | (7621) all_450_0_937 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7621) yields: % 183.32/125.73 | (7615) all_450_0_937 = 0 % 183.32/125.73 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.32/125.73 | (424) all_181_1_103 = all_0_9_9 % 183.32/125.73 | % 183.32/125.73 | From (424) and (259) follows: % 183.32/125.73 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 183.32/125.73 | % 183.32/125.73 +-Applying beta-rule and splitting (7608), into two cases. % 183.32/125.73 |-Branch one: % 183.32/125.73 | (7626) all_458_0_938 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7626) yields: % 183.32/125.73 | (7627) all_458_0_938 = 0 % 183.32/125.73 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 183.32/125.73 | (525) all_226_1_115 = all_0_6_6 % 183.32/125.73 | % 183.32/125.73 | From (525) and (295) follows: % 183.32/125.73 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 183.32/125.73 | (261) all_135_0_89 = 0 % 183.32/125.73 | % 183.32/125.73 | Equations (261) can reduce 230 to: % 183.32/125.73 | (173) $false % 183.32/125.73 | % 183.32/125.73 |-The branch is then unsatisfiable % 183.32/125.73 |-Branch two: % 183.32/125.73 | (7633) all_458_0_938 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.73 | % 183.32/125.73 | Applying alpha-rule on (7633) yields: % 183.32/125.73 | (7627) all_458_0_938 = 0 % 183.32/125.73 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 183.32/125.73 | (532) all_226_1_115 = all_0_9_9 % 183.32/125.73 | % 183.32/125.73 | From (532) and (287) follows: % 183.32/125.73 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 183.32/125.73 | % 183.32/125.73 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 183.32/125.73 | (288) all_181_0_102 = 0 % 183.32/125.73 | % 183.32/125.73 | Equations (288) can reduce 258 to: % 183.32/125.73 | (173) $false % 183.32/125.73 | % 183.32/125.73 |-The branch is then unsatisfiable % 183.32/125.74 |-Branch two: % 183.32/125.74 | (7640) all_442_0_936 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 183.32/125.74 | % 183.32/125.74 | Applying alpha-rule on (7640) yields: % 183.32/125.74 | (7610) all_442_0_936 = 0 % 183.32/125.74 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 183.32/125.74 | (412) all_135_1_90 = all_0_9_9 % 183.32/125.74 | % 183.32/125.74 | From (412) and (231) follows: % 183.32/125.74 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 183.32/125.74 | % 183.32/125.74 +-Applying beta-rule and splitting (7596), into two cases. % 183.32/125.74 |-Branch one: % 183.32/125.74 | (7614) all_450_0_937 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.74 | % 183.32/125.74 | Applying alpha-rule on (7614) yields: % 183.32/125.74 | (7615) all_450_0_937 = 0 % 183.32/125.74 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.32/125.74 | (417) all_181_1_103 = all_0_6_6 % 183.32/125.74 | % 183.32/125.74 | From (417) and (259) follows: % 183.32/125.74 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 183.32/125.74 | % 183.32/125.74 +-Applying beta-rule and splitting (7608), into two cases. % 183.32/125.74 |-Branch one: % 183.32/125.74 | (7626) all_458_0_938 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.74 | % 183.32/125.74 | Applying alpha-rule on (7626) yields: % 183.32/125.74 | (7627) all_458_0_938 = 0 % 183.32/125.74 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 183.32/125.74 | (525) all_226_1_115 = all_0_6_6 % 183.32/125.74 | % 183.32/125.74 | From (525) and (287) follows: % 183.32/125.74 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 183.32/125.74 | (288) all_181_0_102 = 0 % 183.32/125.74 | % 183.32/125.74 | Equations (288) can reduce 258 to: % 183.32/125.74 | (173) $false % 183.32/125.74 | % 183.32/125.74 |-The branch is then unsatisfiable % 183.32/125.74 |-Branch two: % 183.32/125.74 | (7633) all_458_0_938 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.74 | % 183.32/125.74 | Applying alpha-rule on (7633) yields: % 183.32/125.74 | (7627) all_458_0_938 = 0 % 183.32/125.74 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 183.32/125.74 | (532) all_226_1_115 = all_0_9_9 % 183.32/125.74 | % 183.32/125.74 | From (532) and (295) follows: % 183.32/125.74 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 183.32/125.74 | (261) all_135_0_89 = 0 % 183.32/125.74 | % 183.32/125.74 | Equations (261) can reduce 230 to: % 183.32/125.74 | (173) $false % 183.32/125.74 | % 183.32/125.74 |-The branch is then unsatisfiable % 183.32/125.74 |-Branch two: % 183.32/125.74 | (7621) all_450_0_937 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.74 | % 183.32/125.74 | Applying alpha-rule on (7621) yields: % 183.32/125.74 | (7615) all_450_0_937 = 0 % 183.32/125.74 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.32/125.74 | (424) all_181_1_103 = all_0_9_9 % 183.32/125.74 | % 183.32/125.74 | From (424) and (260) follows: % 183.32/125.74 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 183.32/125.74 | (261) all_135_0_89 = 0 % 183.32/125.74 | % 183.32/125.74 | Equations (261) can reduce 230 to: % 183.32/125.74 | (173) $false % 183.32/125.74 | % 183.32/125.74 |-The branch is then unsatisfiable % 183.32/125.74 |-Branch two: % 183.32/125.74 | (7671) all_367_0_928 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 183.32/125.74 | % 183.32/125.74 | Applying alpha-rule on (7671) yields: % 183.32/125.74 | (7569) all_367_0_928 = 0 % 183.32/125.74 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 183.32/125.74 | (582) all_226_1_115 = all_0_5_5 % 183.32/125.74 | % 183.32/125.74 | From (582) and (308) follows: % 183.32/125.74 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 183.32/125.74 | (212) all_85_0_75 = 0 % 183.32/125.74 | % 183.32/125.74 | Equations (212) can reduce 181 to: % 183.32/125.74 | (173) $false % 183.32/125.74 | % 183.32/125.74 |-The branch is then unsatisfiable % 183.32/125.74 |-Branch two: % 183.32/125.74 | (7678) all_359_0_927 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 183.32/125.74 | % 183.32/125.74 | Applying alpha-rule on (7678) yields: % 183.32/125.74 | (7564) all_359_0_927 = 0 % 183.32/125.74 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 183.32/125.74 | (474) all_181_1_103 = all_0_5_5 % 183.32/125.74 | % 183.32/125.74 | From (474) and (297) follows: % 183.32/125.74 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 183.32/125.74 | % 183.32/125.74 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 183.32/125.74 | (212) all_85_0_75 = 0 % 183.32/125.74 | % 183.32/125.74 | Equations (212) can reduce 181 to: % 183.32/125.74 | (173) $false % 183.32/125.74 | % 183.32/125.74 |-The branch is then unsatisfiable % 183.32/125.75 |-Branch two: % 183.32/125.75 | (7685) all_351_0_926 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7685) yields: % 183.32/125.75 | (7559) all_351_0_926 = 0 % 183.32/125.75 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 183.32/125.75 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 183.32/125.75 | % 183.32/125.75 | Instantiating (366) with all_399_0_941 yields: % 183.32/125.75 | (7689) (all_399_0_941 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_399_0_941 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 183.32/125.75 | % 183.32/125.75 +-Applying beta-rule and splitting (7547), into two cases. % 183.32/125.75 |-Branch one: % 183.32/125.75 | (7563) all_359_0_927 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7563) yields: % 183.32/125.75 | (7564) all_359_0_927 = 0 % 183.32/125.75 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 183.32/125.75 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 183.32/125.75 | % 183.32/125.75 | Instantiating (371) with all_407_0_942 yields: % 183.32/125.75 | (7694) (all_407_0_942 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_407_0_942 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 183.32/125.75 | % 183.32/125.75 +-Applying beta-rule and splitting (7552), into two cases. % 183.32/125.75 |-Branch one: % 183.32/125.75 | (7568) all_367_0_928 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7568) yields: % 183.32/125.75 | (7569) all_367_0_928 = 0 % 183.32/125.75 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 183.32/125.75 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 183.32/125.75 | % 183.32/125.75 | Instantiating (479) with all_415_0_943 yields: % 183.32/125.75 | (7699) (all_415_0_943 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_415_0_943 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 183.32/125.75 | % 183.32/125.75 +-Applying beta-rule and splitting (7557), into two cases. % 183.32/125.75 |-Branch one: % 183.32/125.75 | (7573) all_391_0_931 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7573) yields: % 183.32/125.75 | (7574) all_391_0_931 = 0 % 183.32/125.75 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 183.32/125.75 | (376) all_135_1_90 = all_0_3_3 % 183.32/125.75 | % 183.32/125.75 | From (376) and (231) follows: % 183.32/125.75 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 183.32/125.75 | % 183.32/125.75 +-Applying beta-rule and splitting (7689), into two cases. % 183.32/125.75 |-Branch one: % 183.32/125.75 | (7705) all_399_0_941 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7705) yields: % 183.32/125.75 | (7706) all_399_0_941 = 0 % 183.32/125.75 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 183.32/125.75 | (388) all_110_1_84 = all_0_6_6 % 183.32/125.75 | % 183.32/125.75 | From (388) and (210) follows: % 183.32/125.75 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 183.32/125.75 | % 183.32/125.75 +-Applying beta-rule and splitting (7694), into two cases. % 183.32/125.75 |-Branch one: % 183.32/125.75 | (7710) all_407_0_942 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7710) yields: % 183.32/125.75 | (7711) all_407_0_942 = 0 % 183.32/125.75 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.32/125.75 | (393) all_181_1_103 = all_0_3_3 % 183.32/125.75 | % 183.32/125.75 | From (393) and (260) follows: % 183.32/125.75 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 183.32/125.75 | (261) all_135_0_89 = 0 % 183.32/125.75 | % 183.32/125.75 | Equations (261) can reduce 230 to: % 183.32/125.75 | (173) $false % 183.32/125.75 | % 183.32/125.75 |-The branch is then unsatisfiable % 183.32/125.75 |-Branch two: % 183.32/125.75 | (7717) all_407_0_942 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7717) yields: % 183.32/125.75 | (7711) all_407_0_942 = 0 % 183.32/125.75 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.32/125.75 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.32/125.75 | % 183.32/125.75 | Instantiating (400) with all_461_0_946 yields: % 183.32/125.75 | (7721) (all_461_0_946 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_946 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.32/125.75 | % 183.32/125.75 +-Applying beta-rule and splitting (7699), into two cases. % 183.32/125.75 |-Branch one: % 183.32/125.75 | (7722) all_415_0_943 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7722) yields: % 183.32/125.75 | (7723) all_415_0_943 = 0 % 183.32/125.75 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 183.32/125.75 | (501) all_226_1_115 = all_0_3_3 % 183.32/125.75 | % 183.32/125.75 | From (501) and (295) follows: % 183.32/125.75 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 183.32/125.75 | (261) all_135_0_89 = 0 % 183.32/125.75 | % 183.32/125.75 | Equations (261) can reduce 230 to: % 183.32/125.75 | (173) $false % 183.32/125.75 | % 183.32/125.75 |-The branch is then unsatisfiable % 183.32/125.75 |-Branch two: % 183.32/125.75 | (7729) all_415_0_943 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7729) yields: % 183.32/125.75 | (7723) all_415_0_943 = 0 % 183.32/125.75 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 183.32/125.75 | % 183.32/125.75 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 183.32/125.75 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 183.32/125.75 | % 183.32/125.75 | Instantiating (508) with all_469_0_947 yields: % 183.32/125.75 | (7733) (all_469_0_947 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_947 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 183.32/125.75 | % 183.32/125.75 +-Applying beta-rule and splitting (7721), into two cases. % 183.32/125.75 |-Branch one: % 183.32/125.75 | (7734) all_461_0_946 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.75 | % 183.32/125.75 | Applying alpha-rule on (7734) yields: % 183.32/125.76 | (7735) all_461_0_946 = 0 % 183.32/125.76 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.32/125.76 | (417) all_181_1_103 = all_0_6_6 % 183.32/125.76 | % 183.32/125.76 | From (417) and (269) follows: % 183.32/125.76 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.32/125.76 | (233) all_110_0_83 = 0 % 183.32/125.76 | % 183.32/125.76 | Equations (233) can reduce 209 to: % 183.32/125.76 | (173) $false % 183.32/125.76 | % 183.32/125.76 |-The branch is then unsatisfiable % 183.32/125.76 |-Branch two: % 183.32/125.76 | (7741) all_461_0_946 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.76 | % 183.32/125.76 | Applying alpha-rule on (7741) yields: % 183.32/125.76 | (7735) all_461_0_946 = 0 % 183.32/125.76 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.32/125.76 | (424) all_181_1_103 = all_0_9_9 % 183.32/125.76 | % 183.32/125.76 | From (424) and (259) follows: % 183.32/125.76 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 183.32/125.76 | % 183.32/125.76 +-Applying beta-rule and splitting (7733), into two cases. % 183.32/125.76 |-Branch one: % 183.32/125.76 | (7746) all_469_0_947 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.76 | % 183.32/125.76 | Applying alpha-rule on (7746) yields: % 183.32/125.76 | (7747) all_469_0_947 = 0 % 183.32/125.76 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 183.32/125.76 | (525) all_226_1_115 = all_0_6_6 % 183.32/125.76 | % 183.32/125.76 | From (525) and (302) follows: % 183.32/125.76 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.32/125.76 | (233) all_110_0_83 = 0 % 183.32/125.76 | % 183.32/125.76 | Equations (233) can reduce 209 to: % 183.32/125.76 | (173) $false % 183.32/125.76 | % 183.32/125.76 |-The branch is then unsatisfiable % 183.32/125.76 |-Branch two: % 183.32/125.76 | (7753) all_469_0_947 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.76 | % 183.32/125.76 | Applying alpha-rule on (7753) yields: % 183.32/125.76 | (7747) all_469_0_947 = 0 % 183.32/125.76 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 183.32/125.76 | (532) all_226_1_115 = all_0_9_9 % 183.32/125.76 | % 183.32/125.76 | From (532) and (287) follows: % 183.32/125.76 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 183.32/125.76 | (288) all_181_0_102 = 0 % 183.32/125.76 | % 183.32/125.76 | Equations (288) can reduce 258 to: % 183.32/125.76 | (173) $false % 183.32/125.76 | % 183.32/125.76 |-The branch is then unsatisfiable % 183.32/125.76 |-Branch two: % 183.32/125.76 | (7760) all_399_0_941 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 183.32/125.76 | % 183.32/125.76 | Applying alpha-rule on (7760) yields: % 183.32/125.76 | (7706) all_399_0_941 = 0 % 183.32/125.76 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 183.32/125.76 | (431) all_110_1_84 = all_0_9_9 % 183.32/125.76 | % 183.32/125.76 | From (431) and (210) follows: % 183.32/125.76 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 183.32/125.76 | % 183.32/125.76 +-Applying beta-rule and splitting (7694), into two cases. % 183.32/125.76 |-Branch one: % 183.32/125.76 | (7710) all_407_0_942 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.32/125.76 | % 183.32/125.76 | Applying alpha-rule on (7710) yields: % 183.32/125.76 | (7711) all_407_0_942 = 0 % 183.32/125.76 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.32/125.76 | (393) all_181_1_103 = all_0_3_3 % 183.32/125.76 | % 183.32/125.76 | From (393) and (260) follows: % 183.32/125.76 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 183.32/125.76 | (261) all_135_0_89 = 0 % 183.32/125.76 | % 183.32/125.76 | Equations (261) can reduce 230 to: % 183.32/125.76 | (173) $false % 183.32/125.76 | % 183.32/125.76 |-The branch is then unsatisfiable % 183.32/125.76 |-Branch two: % 183.32/125.76 | (7717) all_407_0_942 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.32/125.76 | % 183.32/125.76 | Applying alpha-rule on (7717) yields: % 183.32/125.76 | (7711) all_407_0_942 = 0 % 183.32/125.76 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.32/125.76 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.32/125.76 | % 183.32/125.76 | Instantiating (400) with all_461_0_950 yields: % 183.32/125.76 | (7776) (all_461_0_950 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_461_0_950 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.32/125.76 | % 183.32/125.76 +-Applying beta-rule and splitting (7699), into two cases. % 183.32/125.76 |-Branch one: % 183.32/125.76 | (7722) all_415_0_943 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 183.32/125.76 | % 183.32/125.76 | Applying alpha-rule on (7722) yields: % 183.32/125.76 | (7723) all_415_0_943 = 0 % 183.32/125.76 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 183.32/125.76 | (501) all_226_1_115 = all_0_3_3 % 183.32/125.76 | % 183.32/125.76 | From (501) and (295) follows: % 183.32/125.76 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 183.32/125.76 | (261) all_135_0_89 = 0 % 183.32/125.76 | % 183.32/125.76 | Equations (261) can reduce 230 to: % 183.32/125.76 | (173) $false % 183.32/125.76 | % 183.32/125.76 |-The branch is then unsatisfiable % 183.32/125.76 |-Branch two: % 183.32/125.76 | (7729) all_415_0_943 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 183.32/125.76 | % 183.32/125.76 | Applying alpha-rule on (7729) yields: % 183.32/125.76 | (7723) all_415_0_943 = 0 % 183.32/125.76 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 183.32/125.76 | % 183.32/125.76 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 183.32/125.76 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 183.32/125.76 | % 183.32/125.76 | Instantiating (508) with all_469_0_951 yields: % 183.32/125.76 | (7788) (all_469_0_951 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_951 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 183.32/125.76 | % 183.32/125.76 +-Applying beta-rule and splitting (7776), into two cases. % 183.32/125.76 |-Branch one: % 183.32/125.76 | (7789) all_461_0_950 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.76 | % 183.32/125.77 | Applying alpha-rule on (7789) yields: % 183.32/125.77 | (7790) all_461_0_950 = 0 % 183.32/125.77 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.32/125.77 | (417) all_181_1_103 = all_0_6_6 % 183.32/125.77 | % 183.32/125.77 | From (417) and (259) follows: % 183.32/125.77 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 183.32/125.77 | % 183.32/125.77 +-Applying beta-rule and splitting (7788), into two cases. % 183.32/125.77 |-Branch one: % 183.32/125.77 | (7794) all_469_0_951 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.77 | % 183.32/125.77 | Applying alpha-rule on (7794) yields: % 183.32/125.77 | (7795) all_469_0_951 = 0 % 183.32/125.77 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 183.32/125.77 | (525) all_226_1_115 = all_0_6_6 % 183.32/125.77 | % 183.32/125.77 | From (525) and (287) follows: % 183.32/125.77 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 183.32/125.77 | (288) all_181_0_102 = 0 % 183.32/125.77 | % 183.32/125.77 | Equations (288) can reduce 258 to: % 183.32/125.77 | (173) $false % 183.32/125.77 | % 183.32/125.77 |-The branch is then unsatisfiable % 183.32/125.77 |-Branch two: % 183.32/125.77 | (7801) all_469_0_951 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.77 | % 183.32/125.77 | Applying alpha-rule on (7801) yields: % 183.32/125.77 | (7795) all_469_0_951 = 0 % 183.32/125.77 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 183.32/125.77 | (532) all_226_1_115 = all_0_9_9 % 183.32/125.77 | % 183.32/125.77 | From (532) and (302) follows: % 183.32/125.77 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.32/125.77 | (233) all_110_0_83 = 0 % 183.32/125.77 | % 183.32/125.77 | Equations (233) can reduce 209 to: % 183.32/125.77 | (173) $false % 183.32/125.77 | % 183.32/125.77 |-The branch is then unsatisfiable % 183.32/125.77 |-Branch two: % 183.32/125.77 | (7808) all_461_0_950 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.77 | % 183.32/125.77 | Applying alpha-rule on (7808) yields: % 183.32/125.77 | (7790) all_461_0_950 = 0 % 183.32/125.77 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.32/125.77 | (424) all_181_1_103 = all_0_9_9 % 183.32/125.77 | % 183.32/125.77 | From (424) and (269) follows: % 183.32/125.77 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.32/125.77 | (233) all_110_0_83 = 0 % 183.32/125.77 | % 183.32/125.77 | Equations (233) can reduce 209 to: % 183.32/125.77 | (173) $false % 183.32/125.77 | % 183.32/125.77 |-The branch is then unsatisfiable % 183.32/125.77 |-Branch two: % 183.32/125.77 | (7580) all_391_0_931 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 183.32/125.77 | % 183.32/125.77 | Applying alpha-rule on (7580) yields: % 183.32/125.77 | (7574) all_391_0_931 = 0 % 183.32/125.77 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 183.32/125.77 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 183.32/125.77 | % 183.32/125.77 | Instantiating (383) with all_439_0_954 yields: % 183.32/125.77 | (7819) (all_439_0_954 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_439_0_954 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 183.32/125.77 | % 183.32/125.77 +-Applying beta-rule and splitting (7689), into two cases. % 183.32/125.77 |-Branch one: % 183.32/125.77 | (7705) all_399_0_941 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 183.32/125.77 | % 183.32/125.77 | Applying alpha-rule on (7705) yields: % 183.32/125.77 | (7706) all_399_0_941 = 0 % 183.32/125.77 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 183.32/125.77 | (388) all_110_1_84 = all_0_6_6 % 183.32/125.77 | % 183.32/125.77 | From (388) and (210) follows: % 183.32/125.77 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 183.32/125.77 | % 183.32/125.77 +-Applying beta-rule and splitting (7694), into two cases. % 183.32/125.77 |-Branch one: % 183.32/125.77 | (7710) all_407_0_942 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.32/125.77 | % 183.32/125.77 | Applying alpha-rule on (7710) yields: % 183.32/125.77 | (7711) all_407_0_942 = 0 % 183.32/125.77 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.32/125.77 | (393) all_181_1_103 = all_0_3_3 % 183.32/125.77 | % 183.32/125.77 | From (393) and (259) follows: % 183.32/125.77 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 183.32/125.77 | % 183.32/125.77 +-Applying beta-rule and splitting (7699), into two cases. % 183.32/125.77 |-Branch one: % 183.32/125.77 | (7722) all_415_0_943 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 183.32/125.77 | % 183.32/125.77 | Applying alpha-rule on (7722) yields: % 183.32/125.77 | (7723) all_415_0_943 = 0 % 183.32/125.77 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 183.32/125.77 | (501) all_226_1_115 = all_0_3_3 % 183.32/125.77 | % 183.32/125.77 | From (501) and (287) follows: % 183.32/125.77 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 183.32/125.77 | (288) all_181_0_102 = 0 % 183.32/125.77 | % 183.32/125.77 | Equations (288) can reduce 258 to: % 183.32/125.77 | (173) $false % 183.32/125.77 | % 183.32/125.77 |-The branch is then unsatisfiable % 183.32/125.77 |-Branch two: % 183.32/125.77 | (7729) all_415_0_943 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 183.32/125.77 | % 183.32/125.77 | Applying alpha-rule on (7729) yields: % 183.32/125.77 | (7723) all_415_0_943 = 0 % 183.32/125.77 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 183.32/125.77 | % 183.32/125.77 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 183.32/125.77 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 183.32/125.77 | % 183.32/125.77 | Instantiating (508) with all_469_0_955 yields: % 183.32/125.77 | (7841) (all_469_0_955 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_955 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 183.32/125.77 | % 183.32/125.78 +-Applying beta-rule and splitting (7819), into two cases. % 183.32/125.78 |-Branch one: % 183.32/125.78 | (7842) all_439_0_954 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.32/125.78 | % 183.32/125.78 | Applying alpha-rule on (7842) yields: % 183.32/125.78 | (7843) all_439_0_954 = 0 % 183.32/125.78 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.32/125.78 | (405) all_135_1_90 = all_0_6_6 % 183.32/125.78 | % 183.32/125.78 | From (405) and (232) follows: % 183.32/125.78 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.32/125.78 | (233) all_110_0_83 = 0 % 183.32/125.78 | % 183.32/125.78 | Equations (233) can reduce 209 to: % 183.32/125.78 | (173) $false % 183.32/125.78 | % 183.32/125.78 |-The branch is then unsatisfiable % 183.32/125.78 |-Branch two: % 183.32/125.78 | (7849) all_439_0_954 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 183.32/125.78 | % 183.32/125.78 | Applying alpha-rule on (7849) yields: % 183.32/125.78 | (7843) all_439_0_954 = 0 % 183.32/125.78 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 183.32/125.78 | (412) all_135_1_90 = all_0_9_9 % 183.32/125.78 | % 183.32/125.78 | From (412) and (231) follows: % 183.32/125.78 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 183.32/125.78 | % 183.32/125.78 +-Applying beta-rule and splitting (7841), into two cases. % 183.32/125.78 |-Branch one: % 183.32/125.78 | (7854) all_469_0_955 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.78 | % 183.32/125.78 | Applying alpha-rule on (7854) yields: % 183.32/125.78 | (7855) all_469_0_955 = 0 % 183.32/125.78 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 183.32/125.78 | (525) all_226_1_115 = all_0_6_6 % 183.32/125.78 | % 183.32/125.78 | From (525) and (302) follows: % 183.32/125.78 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.32/125.78 | (233) all_110_0_83 = 0 % 183.32/125.78 | % 183.32/125.78 | Equations (233) can reduce 209 to: % 183.32/125.78 | (173) $false % 183.32/125.78 | % 183.32/125.78 |-The branch is then unsatisfiable % 183.32/125.78 |-Branch two: % 183.32/125.78 | (7861) all_469_0_955 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.78 | % 183.32/125.78 | Applying alpha-rule on (7861) yields: % 183.32/125.78 | (7855) all_469_0_955 = 0 % 183.32/125.78 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 183.32/125.78 | (532) all_226_1_115 = all_0_9_9 % 183.32/125.78 | % 183.32/125.78 | From (532) and (295) follows: % 183.32/125.78 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 183.32/125.78 | (261) all_135_0_89 = 0 % 183.32/125.78 | % 183.32/125.78 | Equations (261) can reduce 230 to: % 183.32/125.78 | (173) $false % 183.32/125.78 | % 183.32/125.78 |-The branch is then unsatisfiable % 183.32/125.78 |-Branch two: % 183.32/125.78 | (7717) all_407_0_942 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.32/125.78 | % 183.32/125.78 | Applying alpha-rule on (7717) yields: % 183.32/125.78 | (7711) all_407_0_942 = 0 % 183.32/125.78 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.32/125.78 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.32/125.78 | % 183.32/125.78 | Instantiating (400) with all_458_0_958 yields: % 183.32/125.78 | (7872) (all_458_0_958 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_458_0_958 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.32/125.78 | % 183.32/125.78 +-Applying beta-rule and splitting (7819), into two cases. % 183.32/125.78 |-Branch one: % 183.32/125.78 | (7842) all_439_0_954 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.32/125.78 | % 183.32/125.78 | Applying alpha-rule on (7842) yields: % 183.32/125.78 | (7843) all_439_0_954 = 0 % 183.32/125.78 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.32/125.78 | (405) all_135_1_90 = all_0_6_6 % 183.32/125.78 | % 183.32/125.78 | From (405) and (232) follows: % 183.32/125.78 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.32/125.78 | (233) all_110_0_83 = 0 % 183.32/125.78 | % 183.32/125.78 | Equations (233) can reduce 209 to: % 183.32/125.78 | (173) $false % 183.32/125.78 | % 183.32/125.78 |-The branch is then unsatisfiable % 183.32/125.78 |-Branch two: % 183.32/125.78 | (7849) all_439_0_954 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 183.32/125.78 | % 183.32/125.78 | Applying alpha-rule on (7849) yields: % 183.32/125.78 | (7843) all_439_0_954 = 0 % 183.32/125.78 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 183.32/125.78 | (412) all_135_1_90 = all_0_9_9 % 183.32/125.78 | % 183.32/125.78 | From (412) and (231) follows: % 183.32/125.78 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 183.32/125.78 | % 183.32/125.78 +-Applying beta-rule and splitting (7872), into two cases. % 183.32/125.78 |-Branch one: % 183.32/125.78 | (7885) all_458_0_958 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.78 | % 183.32/125.78 | Applying alpha-rule on (7885) yields: % 183.32/125.78 | (7886) all_458_0_958 = 0 % 183.32/125.78 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.32/125.78 | (417) all_181_1_103 = all_0_6_6 % 183.32/125.78 | % 183.32/125.78 | From (417) and (269) follows: % 183.32/125.78 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.32/125.78 | (233) all_110_0_83 = 0 % 183.32/125.78 | % 183.32/125.78 | Equations (233) can reduce 209 to: % 183.32/125.78 | (173) $false % 183.32/125.78 | % 183.32/125.78 |-The branch is then unsatisfiable % 183.32/125.78 |-Branch two: % 183.32/125.78 | (7892) all_458_0_958 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.78 | % 183.32/125.78 | Applying alpha-rule on (7892) yields: % 183.32/125.78 | (7886) all_458_0_958 = 0 % 183.32/125.78 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.32/125.78 | (424) all_181_1_103 = all_0_9_9 % 183.32/125.78 | % 183.32/125.78 | From (424) and (260) follows: % 183.32/125.78 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 183.32/125.78 | % 183.32/125.78 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 183.32/125.78 | (261) all_135_0_89 = 0 % 183.32/125.78 | % 183.32/125.78 | Equations (261) can reduce 230 to: % 183.32/125.78 | (173) $false % 183.32/125.78 | % 183.32/125.78 |-The branch is then unsatisfiable % 183.32/125.79 |-Branch two: % 183.32/125.79 | (7760) all_399_0_941 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 183.32/125.79 | % 183.32/125.79 | Applying alpha-rule on (7760) yields: % 183.32/125.79 | (7706) all_399_0_941 = 0 % 183.32/125.79 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 183.32/125.79 | % 183.32/125.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 183.32/125.79 | (431) all_110_1_84 = all_0_9_9 % 183.32/125.79 | % 183.32/125.79 | From (431) and (210) follows: % 183.62/125.79 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 183.62/125.79 | % 183.62/125.79 +-Applying beta-rule and splitting (7694), into two cases. % 183.62/125.79 |-Branch one: % 183.62/125.79 | (7710) all_407_0_942 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.79 | % 183.62/125.79 | Applying alpha-rule on (7710) yields: % 183.62/125.79 | (7711) all_407_0_942 = 0 % 183.62/125.79 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.62/125.79 | (393) all_181_1_103 = all_0_3_3 % 183.62/125.79 | % 183.62/125.79 | From (393) and (259) follows: % 183.62/125.79 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 183.62/125.79 | % 183.62/125.79 +-Applying beta-rule and splitting (7699), into two cases. % 183.62/125.79 |-Branch one: % 183.62/125.79 | (7722) all_415_0_943 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 183.62/125.79 | % 183.62/125.79 | Applying alpha-rule on (7722) yields: % 183.62/125.79 | (7723) all_415_0_943 = 0 % 183.62/125.79 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 183.62/125.79 | (501) all_226_1_115 = all_0_3_3 % 183.62/125.79 | % 183.62/125.79 | From (501) and (287) follows: % 183.62/125.79 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 183.62/125.79 | (288) all_181_0_102 = 0 % 183.62/125.79 | % 183.62/125.79 | Equations (288) can reduce 258 to: % 183.62/125.79 | (173) $false % 183.62/125.79 | % 183.62/125.79 |-The branch is then unsatisfiable % 183.62/125.79 |-Branch two: % 183.62/125.79 | (7729) all_415_0_943 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 183.62/125.79 | % 183.62/125.79 | Applying alpha-rule on (7729) yields: % 183.62/125.79 | (7723) all_415_0_943 = 0 % 183.62/125.79 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 183.62/125.79 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 183.62/125.79 | % 183.62/125.79 | Instantiating (508) with all_469_0_961 yields: % 183.62/125.79 | (7920) (all_469_0_961 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_469_0_961 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 183.62/125.79 | % 183.62/125.79 +-Applying beta-rule and splitting (7819), into two cases. % 183.62/125.79 |-Branch one: % 183.62/125.79 | (7842) all_439_0_954 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.79 | % 183.62/125.79 | Applying alpha-rule on (7842) yields: % 183.62/125.79 | (7843) all_439_0_954 = 0 % 183.62/125.79 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.62/125.79 | (405) all_135_1_90 = all_0_6_6 % 183.62/125.79 | % 183.62/125.79 | From (405) and (231) follows: % 183.62/125.79 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 183.62/125.79 | % 183.62/125.79 +-Applying beta-rule and splitting (7920), into two cases. % 183.62/125.79 |-Branch one: % 183.62/125.79 | (7926) all_469_0_961 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 183.62/125.79 | % 183.62/125.79 | Applying alpha-rule on (7926) yields: % 183.62/125.79 | (7927) all_469_0_961 = 0 % 183.62/125.79 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 183.62/125.79 | (525) all_226_1_115 = all_0_6_6 % 183.62/125.79 | % 183.62/125.79 | From (525) and (295) follows: % 183.62/125.79 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 183.62/125.79 | (261) all_135_0_89 = 0 % 183.62/125.79 | % 183.62/125.79 | Equations (261) can reduce 230 to: % 183.62/125.79 | (173) $false % 183.62/125.79 | % 183.62/125.79 |-The branch is then unsatisfiable % 183.62/125.79 |-Branch two: % 183.62/125.79 | (7933) all_469_0_961 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 183.62/125.79 | % 183.62/125.79 | Applying alpha-rule on (7933) yields: % 183.62/125.79 | (7927) all_469_0_961 = 0 % 183.62/125.79 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 183.62/125.79 | (532) all_226_1_115 = all_0_9_9 % 183.62/125.79 | % 183.62/125.79 | From (532) and (302) follows: % 183.62/125.79 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.62/125.79 | (233) all_110_0_83 = 0 % 183.62/125.79 | % 183.62/125.79 | Equations (233) can reduce 209 to: % 183.62/125.79 | (173) $false % 183.62/125.79 | % 183.62/125.79 |-The branch is then unsatisfiable % 183.62/125.79 |-Branch two: % 183.62/125.79 | (7849) all_439_0_954 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.79 | % 183.62/125.79 | Applying alpha-rule on (7849) yields: % 183.62/125.79 | (7843) all_439_0_954 = 0 % 183.62/125.79 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 183.62/125.79 | (412) all_135_1_90 = all_0_9_9 % 183.62/125.79 | % 183.62/125.79 | From (412) and (232) follows: % 183.62/125.79 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.62/125.79 | % 183.62/125.79 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.62/125.79 | (233) all_110_0_83 = 0 % 183.62/125.79 | % 183.62/125.79 | Equations (233) can reduce 209 to: % 183.62/125.79 | (173) $false % 183.62/125.79 | % 183.62/125.79 |-The branch is then unsatisfiable % 183.62/125.79 |-Branch two: % 183.62/125.80 | (7717) all_407_0_942 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.80 | % 183.62/125.80 | Applying alpha-rule on (7717) yields: % 183.62/125.80 | (7711) all_407_0_942 = 0 % 183.62/125.80 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.62/125.80 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.62/125.80 | % 183.62/125.80 | Instantiating (400) with all_458_0_964 yields: % 183.62/125.80 | (7951) (all_458_0_964 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_458_0_964 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.62/125.80 | % 183.62/125.80 +-Applying beta-rule and splitting (7819), into two cases. % 183.62/125.80 |-Branch one: % 183.62/125.80 | (7842) all_439_0_954 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.80 | % 183.62/125.80 | Applying alpha-rule on (7842) yields: % 183.62/125.80 | (7843) all_439_0_954 = 0 % 183.62/125.80 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.62/125.80 | (405) all_135_1_90 = all_0_6_6 % 183.62/125.80 | % 183.62/125.80 | From (405) and (231) follows: % 183.62/125.80 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 183.62/125.80 | % 183.62/125.80 +-Applying beta-rule and splitting (7951), into two cases. % 183.62/125.80 |-Branch one: % 183.62/125.80 | (7957) all_458_0_964 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.80 | % 183.62/125.80 | Applying alpha-rule on (7957) yields: % 183.62/125.80 | (7958) all_458_0_964 = 0 % 183.62/125.80 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.62/125.80 | (417) all_181_1_103 = all_0_6_6 % 183.62/125.80 | % 183.62/125.80 | From (417) and (260) follows: % 183.62/125.80 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 183.62/125.80 | (261) all_135_0_89 = 0 % 183.62/125.80 | % 183.62/125.80 | Equations (261) can reduce 230 to: % 183.62/125.80 | (173) $false % 183.62/125.80 | % 183.62/125.80 |-The branch is then unsatisfiable % 183.62/125.80 |-Branch two: % 183.62/125.80 | (7964) all_458_0_964 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.80 | % 183.62/125.80 | Applying alpha-rule on (7964) yields: % 183.62/125.80 | (7958) all_458_0_964 = 0 % 183.62/125.80 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.62/125.80 | (424) all_181_1_103 = all_0_9_9 % 183.62/125.80 | % 183.62/125.80 | From (424) and (269) follows: % 183.62/125.80 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.62/125.80 | (233) all_110_0_83 = 0 % 183.62/125.80 | % 183.62/125.80 | Equations (233) can reduce 209 to: % 183.62/125.80 | (173) $false % 183.62/125.80 | % 183.62/125.80 |-The branch is then unsatisfiable % 183.62/125.80 |-Branch two: % 183.62/125.80 | (7849) all_439_0_954 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.80 | % 183.62/125.80 | Applying alpha-rule on (7849) yields: % 183.62/125.80 | (7843) all_439_0_954 = 0 % 183.62/125.80 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 183.62/125.80 | (412) all_135_1_90 = all_0_9_9 % 183.62/125.80 | % 183.62/125.80 | From (412) and (232) follows: % 183.62/125.80 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.62/125.80 | (233) all_110_0_83 = 0 % 183.62/125.80 | % 183.62/125.80 | Equations (233) can reduce 209 to: % 183.62/125.80 | (173) $false % 183.62/125.80 | % 183.62/125.80 |-The branch is then unsatisfiable % 183.62/125.80 |-Branch two: % 183.62/125.80 | (7671) all_367_0_928 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 183.62/125.80 | % 183.62/125.80 | Applying alpha-rule on (7671) yields: % 183.62/125.80 | (7569) all_367_0_928 = 0 % 183.62/125.80 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 183.62/125.80 | (582) all_226_1_115 = all_0_5_5 % 183.62/125.80 | % 183.62/125.80 | From (582) and (308) follows: % 183.62/125.80 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 183.62/125.80 | (212) all_85_0_75 = 0 % 183.62/125.80 | % 183.62/125.80 | Equations (212) can reduce 181 to: % 183.62/125.80 | (173) $false % 183.62/125.80 | % 183.62/125.80 |-The branch is then unsatisfiable % 183.62/125.80 |-Branch two: % 183.62/125.80 | (7678) all_359_0_927 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 183.62/125.80 | % 183.62/125.80 | Applying alpha-rule on (7678) yields: % 183.62/125.80 | (7564) all_359_0_927 = 0 % 183.62/125.80 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 183.62/125.80 | (474) all_181_1_103 = all_0_5_5 % 183.62/125.80 | % 183.62/125.80 | From (474) and (297) follows: % 183.62/125.80 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 183.62/125.80 | % 183.62/125.80 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 183.62/125.80 | (212) all_85_0_75 = 0 % 183.62/125.80 | % 183.62/125.80 | Equations (212) can reduce 181 to: % 183.62/125.80 | (173) $false % 183.62/125.80 | % 183.62/125.80 |-The branch is then unsatisfiable % 183.62/125.81 |-Branch two: % 183.62/125.81 | (7992) all_343_0_925 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 183.62/125.81 | % 183.62/125.81 | Applying alpha-rule on (7992) yields: % 183.62/125.81 | (7554) all_343_0_925 = 0 % 183.62/125.81 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 183.62/125.81 | (589) all_135_1_90 = all_0_5_5 % 183.62/125.81 | % 183.62/125.81 | From (589) and (241) follows: % 183.62/125.81 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 183.62/125.81 | (212) all_85_0_75 = 0 % 183.62/125.81 | % 183.62/125.81 | Equations (212) can reduce 181 to: % 183.62/125.81 | (173) $false % 183.62/125.81 | % 183.62/125.81 |-The branch is then unsatisfiable % 183.62/125.81 |-Branch two: % 183.62/125.81 | (1644) all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 183.62/125.81 | % 183.62/125.81 | Applying alpha-rule on (1644) yields: % 183.62/125.81 | (342) all_311_0_129 = 0 % 183.62/125.81 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 183.62/125.81 | (1647) all_226_1_115 = all_0_8_8 % 183.62/125.81 | % 183.62/125.81 | From (1647) and (286) follows: % 183.62/125.81 | (1648) mem(all_0_8_8, all_165_1_98) = all_226_0_114 % 183.62/125.81 | % 183.62/125.81 +-Applying beta-rule and splitting (320), into two cases. % 183.62/125.81 |-Branch one: % 183.62/125.81 | (1649) all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 183.62/125.81 | % 183.62/125.81 | Applying alpha-rule on (1649) yields: % 183.62/125.81 | (1650) all_318_0_130 = 0 % 183.62/125.81 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 183.62/125.81 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 183.62/125.81 | % 183.62/125.81 | Instantiating (1652) with all_378_0_967 yields: % 183.62/125.81 | (8008) (all_378_0_967 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_378_0_967 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 183.62/125.81 | % 183.62/125.81 +-Applying beta-rule and splitting (7537), into two cases. % 183.62/125.81 |-Branch one: % 183.62/125.81 | (7553) all_343_0_925 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 183.62/125.81 | % 183.62/125.81 | Applying alpha-rule on (7553) yields: % 183.62/125.81 | (7554) all_343_0_925 = 0 % 183.62/125.81 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 183.62/125.81 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 183.62/125.81 | % 183.62/125.81 | Instantiating (354) with all_394_0_969 yields: % 183.62/125.81 | (8013) (all_394_0_969 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_394_0_969 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 183.62/125.81 | % 183.62/125.81 +-Applying beta-rule and splitting (7542), into two cases. % 183.62/125.81 |-Branch one: % 183.62/125.81 | (7558) all_351_0_926 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 183.62/125.81 | % 183.62/125.81 | Applying alpha-rule on (7558) yields: % 183.62/125.81 | (7559) all_351_0_926 = 0 % 183.62/125.81 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 183.62/125.81 | (359) all_110_1_84 = all_0_3_3 % 183.62/125.81 | % 183.62/125.81 | From (359) and (210) follows: % 183.62/125.81 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 183.62/125.81 | % 183.62/125.81 +-Applying beta-rule and splitting (7547), into two cases. % 183.62/125.81 |-Branch one: % 183.62/125.81 | (7563) all_359_0_927 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 183.62/125.81 | % 183.62/125.81 | Applying alpha-rule on (7563) yields: % 183.62/125.81 | (7564) all_359_0_927 = 0 % 183.62/125.81 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 183.62/125.81 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 183.62/125.81 | % 183.62/125.81 | Instantiating (371) with all_413_0_970 yields: % 183.62/125.81 | (8023) (all_413_0_970 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_413_0_970 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 183.62/125.81 | % 183.62/125.81 +-Applying beta-rule and splitting (8008), into two cases. % 183.62/125.81 |-Branch one: % 183.62/125.81 | (8024) all_378_0_967 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 183.62/125.81 | % 183.62/125.81 | Applying alpha-rule on (8024) yields: % 183.62/125.81 | (8025) all_378_0_967 = 0 % 183.62/125.81 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 183.62/125.81 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 183.62/125.81 | % 183.62/125.81 | Instantiating (1787) with all_421_0_971 yields: % 183.62/125.81 | (8028) (all_421_0_971 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_971 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 183.62/125.81 | % 183.62/125.81 +-Applying beta-rule and splitting (8013), into two cases. % 183.62/125.81 |-Branch one: % 183.62/125.81 | (8029) all_394_0_969 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 183.62/125.81 | % 183.62/125.81 | Applying alpha-rule on (8029) yields: % 183.62/125.81 | (8030) all_394_0_969 = 0 % 183.62/125.81 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 183.62/125.81 | (376) all_135_1_90 = all_0_3_3 % 183.62/125.81 | % 183.62/125.81 | From (376) and (232) follows: % 183.62/125.81 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 183.62/125.81 | (233) all_110_0_83 = 0 % 183.62/125.81 | % 183.62/125.81 | Equations (233) can reduce 209 to: % 183.62/125.81 | (173) $false % 183.62/125.81 | % 183.62/125.81 |-The branch is then unsatisfiable % 183.62/125.81 |-Branch two: % 183.62/125.81 | (8036) all_394_0_969 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 183.62/125.81 | % 183.62/125.81 | Applying alpha-rule on (8036) yields: % 183.62/125.81 | (8030) all_394_0_969 = 0 % 183.62/125.81 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 183.62/125.81 | % 183.62/125.81 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 183.62/125.81 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 183.62/125.81 | % 183.62/125.81 | Instantiating (383) with all_437_0_973 yields: % 183.62/125.82 | (8040) (all_437_0_973 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_437_0_973 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 183.62/125.82 | % 183.62/125.82 +-Applying beta-rule and splitting (8023), into two cases. % 183.62/125.82 |-Branch one: % 183.62/125.82 | (8041) all_413_0_970 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.82 | % 183.62/125.82 | Applying alpha-rule on (8041) yields: % 183.62/125.82 | (8042) all_413_0_970 = 0 % 183.62/125.82 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.62/125.82 | (393) all_181_1_103 = all_0_3_3 % 183.62/125.82 | % 183.62/125.82 | From (393) and (269) follows: % 183.62/125.82 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 183.62/125.82 | (233) all_110_0_83 = 0 % 183.62/125.82 | % 183.62/125.82 | Equations (233) can reduce 209 to: % 183.62/125.82 | (173) $false % 183.62/125.82 | % 183.62/125.82 |-The branch is then unsatisfiable % 183.62/125.82 |-Branch two: % 183.62/125.82 | (8048) all_413_0_970 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.82 | % 183.62/125.82 | Applying alpha-rule on (8048) yields: % 183.62/125.82 | (8042) all_413_0_970 = 0 % 183.62/125.82 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.62/125.82 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.62/125.82 | % 183.62/125.82 | Instantiating (400) with all_445_0_974 yields: % 183.62/125.82 | (8052) (all_445_0_974 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_974 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.62/125.82 | % 183.62/125.82 +-Applying beta-rule and splitting (8028), into two cases. % 183.62/125.82 |-Branch one: % 183.62/125.82 | (8053) all_421_0_971 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.82 | % 183.62/125.82 | Applying alpha-rule on (8053) yields: % 183.62/125.82 | (8054) all_421_0_971 = 0 % 183.62/125.82 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 183.62/125.82 | (1809) all_205_2_109 = all_0_3_3 % 183.62/125.82 | % 183.62/125.82 | From (1809) and (309) follows: % 183.62/125.82 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 183.62/125.82 | (233) all_110_0_83 = 0 % 183.62/125.82 | % 183.62/125.82 | Equations (233) can reduce 209 to: % 183.62/125.82 | (173) $false % 183.62/125.82 | % 183.62/125.82 |-The branch is then unsatisfiable % 183.62/125.82 |-Branch two: % 183.62/125.82 | (8060) all_421_0_971 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.82 | % 183.62/125.82 | Applying alpha-rule on (8060) yields: % 183.62/125.82 | (8054) all_421_0_971 = 0 % 183.62/125.82 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 183.62/125.82 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 183.62/125.82 | % 183.62/125.82 | Instantiating (1816) with all_453_0_975 yields: % 183.62/125.82 | (8064) (all_453_0_975 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_975 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 183.62/125.82 | % 183.62/125.82 +-Applying beta-rule and splitting (8040), into two cases. % 183.62/125.82 |-Branch one: % 183.62/125.82 | (8065) all_437_0_973 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.82 | % 183.62/125.82 | Applying alpha-rule on (8065) yields: % 183.62/125.82 | (8066) all_437_0_973 = 0 % 183.62/125.82 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.62/125.82 | (405) all_135_1_90 = all_0_6_6 % 183.62/125.82 | % 183.62/125.82 | From (405) and (231) follows: % 183.62/125.82 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 183.62/125.82 | % 183.62/125.82 +-Applying beta-rule and splitting (8052), into two cases. % 183.62/125.82 |-Branch one: % 183.62/125.82 | (8070) all_445_0_974 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.82 | % 183.62/125.82 | Applying alpha-rule on (8070) yields: % 183.62/125.82 | (8071) all_445_0_974 = 0 % 183.62/125.82 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.62/125.82 | (417) all_181_1_103 = all_0_6_6 % 183.62/125.82 | % 183.62/125.82 | From (417) and (260) follows: % 183.62/125.82 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 183.62/125.82 | (261) all_135_0_89 = 0 % 183.62/125.82 | % 183.62/125.82 | Equations (261) can reduce 230 to: % 183.62/125.82 | (173) $false % 183.62/125.82 | % 183.62/125.82 |-The branch is then unsatisfiable % 183.62/125.82 |-Branch two: % 183.62/125.82 | (8077) all_445_0_974 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.82 | % 183.62/125.82 | Applying alpha-rule on (8077) yields: % 183.62/125.82 | (8071) all_445_0_974 = 0 % 183.62/125.82 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.62/125.82 | (424) all_181_1_103 = all_0_9_9 % 183.62/125.82 | % 183.62/125.82 | From (424) and (259) follows: % 183.62/125.82 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 183.62/125.82 | % 183.62/125.82 +-Applying beta-rule and splitting (8064), into two cases. % 183.62/125.82 |-Branch one: % 183.62/125.82 | (8082) all_453_0_975 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.82 | % 183.62/125.82 | Applying alpha-rule on (8082) yields: % 183.62/125.82 | (8083) all_453_0_975 = 0 % 183.62/125.82 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 183.62/125.82 | (1833) all_205_2_109 = all_0_6_6 % 183.62/125.82 | % 183.62/125.82 | From (1833) and (303) follows: % 183.62/125.82 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 183.62/125.82 | (261) all_135_0_89 = 0 % 183.62/125.82 | % 183.62/125.82 | Equations (261) can reduce 230 to: % 183.62/125.82 | (173) $false % 183.62/125.82 | % 183.62/125.82 |-The branch is then unsatisfiable % 183.62/125.82 |-Branch two: % 183.62/125.82 | (8089) all_453_0_975 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.82 | % 183.62/125.82 | Applying alpha-rule on (8089) yields: % 183.62/125.82 | (8083) all_453_0_975 = 0 % 183.62/125.82 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 183.62/125.82 | (1840) all_205_2_109 = all_0_9_9 % 183.62/125.82 | % 183.62/125.82 | From (1840) and (296) follows: % 183.62/125.82 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 183.62/125.82 | % 183.62/125.82 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 183.62/125.82 | (288) all_181_0_102 = 0 % 183.62/125.82 | % 183.62/125.82 | Equations (288) can reduce 258 to: % 183.62/125.82 | (173) $false % 183.62/125.82 | % 183.62/125.82 |-The branch is then unsatisfiable % 183.62/125.83 |-Branch two: % 183.62/125.83 | (8096) all_437_0_973 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.83 | % 183.62/125.83 | Applying alpha-rule on (8096) yields: % 183.62/125.83 | (8066) all_437_0_973 = 0 % 183.62/125.83 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 183.62/125.83 | (412) all_135_1_90 = all_0_9_9 % 183.62/125.83 | % 183.62/125.83 | From (412) and (231) follows: % 183.62/125.83 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 183.62/125.83 | % 183.62/125.83 +-Applying beta-rule and splitting (8052), into two cases. % 183.62/125.83 |-Branch one: % 183.62/125.83 | (8070) all_445_0_974 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.83 | % 183.62/125.83 | Applying alpha-rule on (8070) yields: % 183.62/125.83 | (8071) all_445_0_974 = 0 % 183.62/125.83 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.62/125.83 | (417) all_181_1_103 = all_0_6_6 % 183.62/125.83 | % 183.62/125.83 | From (417) and (259) follows: % 183.62/125.83 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 183.62/125.83 | % 183.62/125.83 +-Applying beta-rule and splitting (8064), into two cases. % 183.62/125.83 |-Branch one: % 183.62/125.83 | (8082) all_453_0_975 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.83 | % 183.62/125.83 | Applying alpha-rule on (8082) yields: % 183.62/125.83 | (8083) all_453_0_975 = 0 % 183.62/125.83 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 183.62/125.83 | (1833) all_205_2_109 = all_0_6_6 % 183.62/125.83 | % 183.62/125.83 | From (1833) and (296) follows: % 183.62/125.83 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 183.62/125.83 | (288) all_181_0_102 = 0 % 183.62/125.83 | % 183.62/125.83 | Equations (288) can reduce 258 to: % 183.62/125.83 | (173) $false % 183.62/125.83 | % 183.62/125.83 |-The branch is then unsatisfiable % 183.62/125.83 |-Branch two: % 183.62/125.83 | (8089) all_453_0_975 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.83 | % 183.62/125.83 | Applying alpha-rule on (8089) yields: % 183.62/125.83 | (8083) all_453_0_975 = 0 % 183.62/125.83 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 183.62/125.83 | (1840) all_205_2_109 = all_0_9_9 % 183.62/125.83 | % 183.62/125.83 | From (1840) and (303) follows: % 183.62/125.83 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 183.62/125.83 | (261) all_135_0_89 = 0 % 183.62/125.83 | % 183.62/125.83 | Equations (261) can reduce 230 to: % 183.62/125.83 | (173) $false % 183.62/125.83 | % 183.62/125.83 |-The branch is then unsatisfiable % 183.62/125.83 |-Branch two: % 183.62/125.83 | (8077) all_445_0_974 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.83 | % 183.62/125.83 | Applying alpha-rule on (8077) yields: % 183.62/125.83 | (8071) all_445_0_974 = 0 % 183.62/125.83 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.62/125.83 | (424) all_181_1_103 = all_0_9_9 % 183.62/125.83 | % 183.62/125.83 | From (424) and (260) follows: % 183.62/125.83 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 183.62/125.83 | (261) all_135_0_89 = 0 % 183.62/125.83 | % 183.62/125.83 | Equations (261) can reduce 230 to: % 183.62/125.83 | (173) $false % 183.62/125.83 | % 183.62/125.83 |-The branch is then unsatisfiable % 183.62/125.83 |-Branch two: % 183.62/125.83 | (8127) all_378_0_967 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 183.62/125.83 | % 183.62/125.83 | Applying alpha-rule on (8127) yields: % 183.62/125.83 | (8025) all_378_0_967 = 0 % 183.62/125.83 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 183.62/125.83 | (1890) all_205_2_109 = all_0_5_5 % 183.62/125.83 | % 183.62/125.83 | From (1890) and (315) follows: % 183.62/125.83 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 183.62/125.83 | (212) all_85_0_75 = 0 % 183.62/125.83 | % 183.62/125.83 | Equations (212) can reduce 181 to: % 183.62/125.83 | (173) $false % 183.62/125.83 | % 183.62/125.83 |-The branch is then unsatisfiable % 183.62/125.83 |-Branch two: % 183.62/125.83 | (7678) all_359_0_927 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 183.62/125.83 | % 183.62/125.83 | Applying alpha-rule on (7678) yields: % 183.62/125.83 | (7564) all_359_0_927 = 0 % 183.62/125.83 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 183.62/125.83 | % 183.62/125.83 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 183.62/125.84 | (474) all_181_1_103 = all_0_5_5 % 183.62/125.84 | % 183.62/125.84 | From (474) and (297) follows: % 183.62/125.84 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 183.62/125.84 | (212) all_85_0_75 = 0 % 183.62/125.84 | % 183.62/125.84 | Equations (212) can reduce 181 to: % 183.62/125.84 | (173) $false % 183.62/125.84 | % 183.62/125.84 |-The branch is then unsatisfiable % 183.62/125.84 |-Branch two: % 183.62/125.84 | (7685) all_351_0_926 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 183.62/125.84 | % 183.62/125.84 | Applying alpha-rule on (7685) yields: % 183.62/125.84 | (7559) all_351_0_926 = 0 % 183.62/125.84 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 183.62/125.84 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 183.62/125.84 | % 183.62/125.84 | Instantiating (366) with all_402_0_977 yields: % 183.62/125.84 | (8145) (all_402_0_977 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_402_0_977 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 183.62/125.84 | % 183.62/125.84 +-Applying beta-rule and splitting (7547), into two cases. % 183.62/125.84 |-Branch one: % 183.62/125.84 | (7563) all_359_0_927 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 183.62/125.84 | % 183.62/125.84 | Applying alpha-rule on (7563) yields: % 183.62/125.84 | (7564) all_359_0_927 = 0 % 183.62/125.84 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 183.62/125.84 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 183.62/125.84 | % 183.62/125.84 | Instantiating (371) with all_410_0_978 yields: % 183.62/125.84 | (8150) (all_410_0_978 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_410_0_978 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 183.62/125.84 | % 183.62/125.84 +-Applying beta-rule and splitting (8008), into two cases. % 183.62/125.84 |-Branch one: % 183.62/125.84 | (8024) all_378_0_967 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 183.62/125.84 | % 183.62/125.84 | Applying alpha-rule on (8024) yields: % 183.62/125.84 | (8025) all_378_0_967 = 0 % 183.62/125.84 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 183.62/125.84 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 183.62/125.84 | % 183.62/125.84 | Instantiating (1787) with all_418_0_979 yields: % 183.62/125.84 | (8155) (all_418_0_979 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_979 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 183.62/125.84 | % 183.62/125.84 +-Applying beta-rule and splitting (8013), into two cases. % 183.62/125.84 |-Branch one: % 183.62/125.84 | (8029) all_394_0_969 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 183.62/125.84 | % 183.62/125.84 | Applying alpha-rule on (8029) yields: % 183.62/125.84 | (8030) all_394_0_969 = 0 % 183.62/125.84 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 183.62/125.84 | (376) all_135_1_90 = all_0_3_3 % 183.62/125.84 | % 183.62/125.84 | From (376) and (231) follows: % 183.62/125.84 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 183.62/125.84 | % 183.62/125.84 +-Applying beta-rule and splitting (8145), into two cases. % 183.62/125.84 |-Branch one: % 183.62/125.84 | (8161) all_402_0_977 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 183.62/125.84 | % 183.62/125.84 | Applying alpha-rule on (8161) yields: % 183.62/125.84 | (8162) all_402_0_977 = 0 % 183.62/125.84 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 183.62/125.84 | (388) all_110_1_84 = all_0_6_6 % 183.62/125.84 | % 183.62/125.84 | From (388) and (210) follows: % 183.62/125.84 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 183.62/125.84 | % 183.62/125.84 +-Applying beta-rule and splitting (8150), into two cases. % 183.62/125.84 |-Branch one: % 183.62/125.84 | (8166) all_410_0_978 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.84 | % 183.62/125.84 | Applying alpha-rule on (8166) yields: % 183.62/125.84 | (8167) all_410_0_978 = 0 % 183.62/125.84 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.62/125.84 | (393) all_181_1_103 = all_0_3_3 % 183.62/125.84 | % 183.62/125.84 | From (393) and (260) follows: % 183.62/125.84 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 183.62/125.84 | (261) all_135_0_89 = 0 % 183.62/125.84 | % 183.62/125.84 | Equations (261) can reduce 230 to: % 183.62/125.84 | (173) $false % 183.62/125.84 | % 183.62/125.84 |-The branch is then unsatisfiable % 183.62/125.84 |-Branch two: % 183.62/125.84 | (8173) all_410_0_978 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.84 | % 183.62/125.84 | Applying alpha-rule on (8173) yields: % 183.62/125.84 | (8167) all_410_0_978 = 0 % 183.62/125.84 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.62/125.84 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.62/125.84 | % 183.62/125.84 | Instantiating (400) with all_456_0_981 yields: % 183.62/125.84 | (8177) (all_456_0_981 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_981 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.62/125.84 | % 183.62/125.84 +-Applying beta-rule and splitting (8155), into two cases. % 183.62/125.84 |-Branch one: % 183.62/125.84 | (8178) all_418_0_979 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.84 | % 183.62/125.84 | Applying alpha-rule on (8178) yields: % 183.62/125.84 | (8179) all_418_0_979 = 0 % 183.62/125.84 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 183.62/125.84 | (1809) all_205_2_109 = all_0_3_3 % 183.62/125.84 | % 183.62/125.84 | From (1809) and (303) follows: % 183.62/125.84 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 183.62/125.84 | % 183.62/125.84 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 183.62/125.84 | (261) all_135_0_89 = 0 % 183.62/125.84 | % 183.62/125.84 | Equations (261) can reduce 230 to: % 183.62/125.84 | (173) $false % 183.62/125.84 | % 183.62/125.84 |-The branch is then unsatisfiable % 183.62/125.84 |-Branch two: % 183.62/125.84 | (8185) all_418_0_979 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.84 | % 183.62/125.84 | Applying alpha-rule on (8185) yields: % 183.62/125.85 | (8179) all_418_0_979 = 0 % 183.62/125.85 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 183.62/125.85 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 183.62/125.85 | % 183.62/125.85 | Instantiating (1816) with all_464_0_982 yields: % 183.62/125.85 | (8189) (all_464_0_982 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_982 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 183.62/125.85 | % 183.62/125.85 +-Applying beta-rule and splitting (8177), into two cases. % 183.62/125.85 |-Branch one: % 183.62/125.85 | (8190) all_456_0_981 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.85 | % 183.62/125.85 | Applying alpha-rule on (8190) yields: % 183.62/125.85 | (8191) all_456_0_981 = 0 % 183.62/125.85 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.62/125.85 | (417) all_181_1_103 = all_0_6_6 % 183.62/125.85 | % 183.62/125.85 | From (417) and (269) follows: % 183.62/125.85 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.62/125.85 | (233) all_110_0_83 = 0 % 183.62/125.85 | % 183.62/125.85 | Equations (233) can reduce 209 to: % 183.62/125.85 | (173) $false % 183.62/125.85 | % 183.62/125.85 |-The branch is then unsatisfiable % 183.62/125.85 |-Branch two: % 183.62/125.85 | (8197) all_456_0_981 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.85 | % 183.62/125.85 | Applying alpha-rule on (8197) yields: % 183.62/125.85 | (8191) all_456_0_981 = 0 % 183.62/125.85 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.62/125.85 | (424) all_181_1_103 = all_0_9_9 % 183.62/125.85 | % 183.62/125.85 | From (424) and (259) follows: % 183.62/125.85 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 183.62/125.85 | % 183.62/125.85 +-Applying beta-rule and splitting (8189), into two cases. % 183.62/125.85 |-Branch one: % 183.62/125.85 | (8202) all_464_0_982 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.85 | % 183.62/125.85 | Applying alpha-rule on (8202) yields: % 183.62/125.85 | (8203) all_464_0_982 = 0 % 183.62/125.85 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 183.62/125.85 | (1833) all_205_2_109 = all_0_6_6 % 183.62/125.85 | % 183.62/125.85 | From (1833) and (309) follows: % 183.62/125.85 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.62/125.85 | (233) all_110_0_83 = 0 % 183.62/125.85 | % 183.62/125.85 | Equations (233) can reduce 209 to: % 183.62/125.85 | (173) $false % 183.62/125.85 | % 183.62/125.85 |-The branch is then unsatisfiable % 183.62/125.85 |-Branch two: % 183.62/125.85 | (8209) all_464_0_982 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.85 | % 183.62/125.85 | Applying alpha-rule on (8209) yields: % 183.62/125.85 | (8203) all_464_0_982 = 0 % 183.62/125.85 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 183.62/125.85 | (1840) all_205_2_109 = all_0_9_9 % 183.62/125.85 | % 183.62/125.85 | From (1840) and (296) follows: % 183.62/125.85 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 183.62/125.85 | (288) all_181_0_102 = 0 % 183.62/125.85 | % 183.62/125.85 | Equations (288) can reduce 258 to: % 183.62/125.85 | (173) $false % 183.62/125.85 | % 183.62/125.85 |-The branch is then unsatisfiable % 183.62/125.85 |-Branch two: % 183.62/125.85 | (8216) all_402_0_977 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 183.62/125.85 | % 183.62/125.85 | Applying alpha-rule on (8216) yields: % 183.62/125.85 | (8162) all_402_0_977 = 0 % 183.62/125.85 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 183.62/125.85 | (431) all_110_1_84 = all_0_9_9 % 183.62/125.85 | % 183.62/125.85 | From (431) and (210) follows: % 183.62/125.85 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 183.62/125.85 | % 183.62/125.85 +-Applying beta-rule and splitting (8150), into two cases. % 183.62/125.85 |-Branch one: % 183.62/125.85 | (8166) all_410_0_978 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.85 | % 183.62/125.85 | Applying alpha-rule on (8166) yields: % 183.62/125.85 | (8167) all_410_0_978 = 0 % 183.62/125.85 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.62/125.85 | (393) all_181_1_103 = all_0_3_3 % 183.62/125.85 | % 183.62/125.85 | From (393) and (260) follows: % 183.62/125.85 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 183.62/125.85 | (261) all_135_0_89 = 0 % 183.62/125.85 | % 183.62/125.85 | Equations (261) can reduce 230 to: % 183.62/125.85 | (173) $false % 183.62/125.85 | % 183.62/125.85 |-The branch is then unsatisfiable % 183.62/125.85 |-Branch two: % 183.62/125.85 | (8173) all_410_0_978 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.85 | % 183.62/125.85 | Applying alpha-rule on (8173) yields: % 183.62/125.85 | (8167) all_410_0_978 = 0 % 183.62/125.85 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.85 | % 183.62/125.85 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.62/125.85 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.62/125.85 | % 183.62/125.85 | Instantiating (400) with all_456_0_984 yields: % 183.62/125.85 | (8232) (all_456_0_984 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_984 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.62/125.85 | % 183.62/125.85 +-Applying beta-rule and splitting (8155), into two cases. % 183.62/125.85 |-Branch one: % 183.62/125.85 | (8178) all_418_0_979 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.85 | % 183.62/125.85 | Applying alpha-rule on (8178) yields: % 183.62/125.85 | (8179) all_418_0_979 = 0 % 183.62/125.86 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 183.62/125.86 | (1809) all_205_2_109 = all_0_3_3 % 183.62/125.86 | % 183.62/125.86 | From (1809) and (303) follows: % 183.62/125.86 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 183.62/125.86 | (261) all_135_0_89 = 0 % 183.62/125.86 | % 183.62/125.86 | Equations (261) can reduce 230 to: % 183.62/125.86 | (173) $false % 183.62/125.86 | % 183.62/125.86 |-The branch is then unsatisfiable % 183.62/125.86 |-Branch two: % 183.62/125.86 | (8185) all_418_0_979 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.86 | % 183.62/125.86 | Applying alpha-rule on (8185) yields: % 183.62/125.86 | (8179) all_418_0_979 = 0 % 183.62/125.86 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 183.62/125.86 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 183.62/125.86 | % 183.62/125.86 | Instantiating (1816) with all_464_0_985 yields: % 183.62/125.86 | (8244) (all_464_0_985 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_985 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 183.62/125.86 | % 183.62/125.86 +-Applying beta-rule and splitting (8232), into two cases. % 183.62/125.86 |-Branch one: % 183.62/125.86 | (8245) all_456_0_984 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.86 | % 183.62/125.86 | Applying alpha-rule on (8245) yields: % 183.62/125.86 | (8246) all_456_0_984 = 0 % 183.62/125.86 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.62/125.86 | (417) all_181_1_103 = all_0_6_6 % 183.62/125.86 | % 183.62/125.86 | From (417) and (259) follows: % 183.62/125.86 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 183.62/125.86 | % 183.62/125.86 +-Applying beta-rule and splitting (8244), into two cases. % 183.62/125.86 |-Branch one: % 183.62/125.86 | (8250) all_464_0_985 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.86 | % 183.62/125.86 | Applying alpha-rule on (8250) yields: % 183.62/125.86 | (8251) all_464_0_985 = 0 % 183.62/125.86 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 183.62/125.86 | (1833) all_205_2_109 = all_0_6_6 % 183.62/125.86 | % 183.62/125.86 | From (1833) and (296) follows: % 183.62/125.86 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 183.62/125.86 | (288) all_181_0_102 = 0 % 183.62/125.86 | % 183.62/125.86 | Equations (288) can reduce 258 to: % 183.62/125.86 | (173) $false % 183.62/125.86 | % 183.62/125.86 |-The branch is then unsatisfiable % 183.62/125.86 |-Branch two: % 183.62/125.86 | (8257) all_464_0_985 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.86 | % 183.62/125.86 | Applying alpha-rule on (8257) yields: % 183.62/125.86 | (8251) all_464_0_985 = 0 % 183.62/125.86 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 183.62/125.86 | (1840) all_205_2_109 = all_0_9_9 % 183.62/125.86 | % 183.62/125.86 | From (1840) and (309) follows: % 183.62/125.86 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.62/125.86 | (233) all_110_0_83 = 0 % 183.62/125.86 | % 183.62/125.86 | Equations (233) can reduce 209 to: % 183.62/125.86 | (173) $false % 183.62/125.86 | % 183.62/125.86 |-The branch is then unsatisfiable % 183.62/125.86 |-Branch two: % 183.62/125.86 | (8264) all_456_0_984 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.86 | % 183.62/125.86 | Applying alpha-rule on (8264) yields: % 183.62/125.86 | (8246) all_456_0_984 = 0 % 183.62/125.86 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.62/125.86 | (424) all_181_1_103 = all_0_9_9 % 183.62/125.86 | % 183.62/125.86 | From (424) and (269) follows: % 183.62/125.86 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.62/125.86 | (233) all_110_0_83 = 0 % 183.62/125.86 | % 183.62/125.86 | Equations (233) can reduce 209 to: % 183.62/125.86 | (173) $false % 183.62/125.86 | % 183.62/125.86 |-The branch is then unsatisfiable % 183.62/125.86 |-Branch two: % 183.62/125.86 | (8036) all_394_0_969 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 183.62/125.86 | % 183.62/125.86 | Applying alpha-rule on (8036) yields: % 183.62/125.86 | (8030) all_394_0_969 = 0 % 183.62/125.86 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 183.62/125.86 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 183.62/125.86 | % 183.62/125.86 | Instantiating (383) with all_434_0_987 yields: % 183.62/125.86 | (8275) (all_434_0_987 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_434_0_987 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 183.62/125.86 | % 183.62/125.86 +-Applying beta-rule and splitting (8145), into two cases. % 183.62/125.86 |-Branch one: % 183.62/125.86 | (8161) all_402_0_977 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 183.62/125.86 | % 183.62/125.86 | Applying alpha-rule on (8161) yields: % 183.62/125.86 | (8162) all_402_0_977 = 0 % 183.62/125.86 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 183.62/125.86 | % 183.62/125.86 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 183.62/125.86 | (388) all_110_1_84 = all_0_6_6 % 183.62/125.86 | % 183.62/125.86 | From (388) and (210) follows: % 183.62/125.86 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 183.62/125.86 | % 183.62/125.86 +-Applying beta-rule and splitting (8150), into two cases. % 183.62/125.86 |-Branch one: % 183.62/125.87 | (8166) all_410_0_978 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.87 | % 183.62/125.87 | Applying alpha-rule on (8166) yields: % 183.62/125.87 | (8167) all_410_0_978 = 0 % 183.62/125.87 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.62/125.87 | (393) all_181_1_103 = all_0_3_3 % 183.62/125.87 | % 183.62/125.87 | From (393) and (259) follows: % 183.62/125.87 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 183.62/125.87 | % 183.62/125.87 +-Applying beta-rule and splitting (8155), into two cases. % 183.62/125.87 |-Branch one: % 183.62/125.87 | (8178) all_418_0_979 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.87 | % 183.62/125.87 | Applying alpha-rule on (8178) yields: % 183.62/125.87 | (8179) all_418_0_979 = 0 % 183.62/125.87 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 183.62/125.87 | (1809) all_205_2_109 = all_0_3_3 % 183.62/125.87 | % 183.62/125.87 | From (1809) and (296) follows: % 183.62/125.87 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 183.62/125.87 | (288) all_181_0_102 = 0 % 183.62/125.87 | % 183.62/125.87 | Equations (288) can reduce 258 to: % 183.62/125.87 | (173) $false % 183.62/125.87 | % 183.62/125.87 |-The branch is then unsatisfiable % 183.62/125.87 |-Branch two: % 183.62/125.87 | (8185) all_418_0_979 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.87 | % 183.62/125.87 | Applying alpha-rule on (8185) yields: % 183.62/125.87 | (8179) all_418_0_979 = 0 % 183.62/125.87 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 183.62/125.87 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 183.62/125.87 | % 183.62/125.87 | Instantiating (1816) with all_464_0_988 yields: % 183.62/125.87 | (8297) (all_464_0_988 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_988 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 183.62/125.87 | % 183.62/125.87 +-Applying beta-rule and splitting (8275), into two cases. % 183.62/125.87 |-Branch one: % 183.62/125.87 | (8298) all_434_0_987 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.87 | % 183.62/125.87 | Applying alpha-rule on (8298) yields: % 183.62/125.87 | (8299) all_434_0_987 = 0 % 183.62/125.87 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.62/125.87 | (405) all_135_1_90 = all_0_6_6 % 183.62/125.87 | % 183.62/125.87 | From (405) and (232) follows: % 183.62/125.87 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.62/125.87 | (233) all_110_0_83 = 0 % 183.62/125.87 | % 183.62/125.87 | Equations (233) can reduce 209 to: % 183.62/125.87 | (173) $false % 183.62/125.87 | % 183.62/125.87 |-The branch is then unsatisfiable % 183.62/125.87 |-Branch two: % 183.62/125.87 | (8305) all_434_0_987 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.87 | % 183.62/125.87 | Applying alpha-rule on (8305) yields: % 183.62/125.87 | (8299) all_434_0_987 = 0 % 183.62/125.87 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 183.62/125.87 | (412) all_135_1_90 = all_0_9_9 % 183.62/125.87 | % 183.62/125.87 | From (412) and (231) follows: % 183.62/125.87 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 183.62/125.87 | % 183.62/125.87 +-Applying beta-rule and splitting (8297), into two cases. % 183.62/125.87 |-Branch one: % 183.62/125.87 | (8310) all_464_0_988 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.87 | % 183.62/125.87 | Applying alpha-rule on (8310) yields: % 183.62/125.87 | (8311) all_464_0_988 = 0 % 183.62/125.87 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 183.62/125.87 | (1833) all_205_2_109 = all_0_6_6 % 183.62/125.87 | % 183.62/125.87 | From (1833) and (309) follows: % 183.62/125.87 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.62/125.87 | (233) all_110_0_83 = 0 % 183.62/125.87 | % 183.62/125.87 | Equations (233) can reduce 209 to: % 183.62/125.87 | (173) $false % 183.62/125.87 | % 183.62/125.87 |-The branch is then unsatisfiable % 183.62/125.87 |-Branch two: % 183.62/125.87 | (8317) all_464_0_988 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.87 | % 183.62/125.87 | Applying alpha-rule on (8317) yields: % 183.62/125.87 | (8311) all_464_0_988 = 0 % 183.62/125.87 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 183.62/125.87 | (1840) all_205_2_109 = all_0_9_9 % 183.62/125.87 | % 183.62/125.87 | From (1840) and (303) follows: % 183.62/125.87 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 183.62/125.87 | (261) all_135_0_89 = 0 % 183.62/125.87 | % 183.62/125.87 | Equations (261) can reduce 230 to: % 183.62/125.87 | (173) $false % 183.62/125.87 | % 183.62/125.87 |-The branch is then unsatisfiable % 183.62/125.87 |-Branch two: % 183.62/125.87 | (8173) all_410_0_978 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.87 | % 183.62/125.87 | Applying alpha-rule on (8173) yields: % 183.62/125.87 | (8167) all_410_0_978 = 0 % 183.62/125.87 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.87 | % 183.62/125.87 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.62/125.87 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.62/125.87 | % 183.62/125.87 | Instantiating (400) with all_453_0_990 yields: % 183.62/125.87 | (8328) (all_453_0_990 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_990 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.62/125.87 | % 183.62/125.87 +-Applying beta-rule and splitting (8275), into two cases. % 183.62/125.87 |-Branch one: % 183.62/125.88 | (8298) all_434_0_987 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.88 | % 183.62/125.88 | Applying alpha-rule on (8298) yields: % 183.62/125.88 | (8299) all_434_0_987 = 0 % 183.62/125.88 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.62/125.88 | (405) all_135_1_90 = all_0_6_6 % 183.62/125.88 | % 183.62/125.88 | From (405) and (232) follows: % 183.62/125.88 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.62/125.88 | (233) all_110_0_83 = 0 % 183.62/125.88 | % 183.62/125.88 | Equations (233) can reduce 209 to: % 183.62/125.88 | (173) $false % 183.62/125.88 | % 183.62/125.88 |-The branch is then unsatisfiable % 183.62/125.88 |-Branch two: % 183.62/125.88 | (8305) all_434_0_987 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.88 | % 183.62/125.88 | Applying alpha-rule on (8305) yields: % 183.62/125.88 | (8299) all_434_0_987 = 0 % 183.62/125.88 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 183.62/125.88 | (412) all_135_1_90 = all_0_9_9 % 183.62/125.88 | % 183.62/125.88 | From (412) and (231) follows: % 183.62/125.88 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 183.62/125.88 | % 183.62/125.88 +-Applying beta-rule and splitting (8328), into two cases. % 183.62/125.88 |-Branch one: % 183.62/125.88 | (8341) all_453_0_990 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.88 | % 183.62/125.88 | Applying alpha-rule on (8341) yields: % 183.62/125.88 | (8342) all_453_0_990 = 0 % 183.62/125.88 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.62/125.88 | (417) all_181_1_103 = all_0_6_6 % 183.62/125.88 | % 183.62/125.88 | From (417) and (269) follows: % 183.62/125.88 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 183.62/125.88 | (233) all_110_0_83 = 0 % 183.62/125.88 | % 183.62/125.88 | Equations (233) can reduce 209 to: % 183.62/125.88 | (173) $false % 183.62/125.88 | % 183.62/125.88 |-The branch is then unsatisfiable % 183.62/125.88 |-Branch two: % 183.62/125.88 | (8348) all_453_0_990 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.88 | % 183.62/125.88 | Applying alpha-rule on (8348) yields: % 183.62/125.88 | (8342) all_453_0_990 = 0 % 183.62/125.88 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.62/125.88 | (424) all_181_1_103 = all_0_9_9 % 183.62/125.88 | % 183.62/125.88 | From (424) and (260) follows: % 183.62/125.88 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 183.62/125.88 | (261) all_135_0_89 = 0 % 183.62/125.88 | % 183.62/125.88 | Equations (261) can reduce 230 to: % 183.62/125.88 | (173) $false % 183.62/125.88 | % 183.62/125.88 |-The branch is then unsatisfiable % 183.62/125.88 |-Branch two: % 183.62/125.88 | (8216) all_402_0_977 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 183.62/125.88 | % 183.62/125.88 | Applying alpha-rule on (8216) yields: % 183.62/125.88 | (8162) all_402_0_977 = 0 % 183.62/125.88 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 183.62/125.88 | (431) all_110_1_84 = all_0_9_9 % 183.62/125.88 | % 183.62/125.88 | From (431) and (210) follows: % 183.62/125.88 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 183.62/125.88 | % 183.62/125.88 +-Applying beta-rule and splitting (8150), into two cases. % 183.62/125.88 |-Branch one: % 183.62/125.88 | (8166) all_410_0_978 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.88 | % 183.62/125.88 | Applying alpha-rule on (8166) yields: % 183.62/125.88 | (8167) all_410_0_978 = 0 % 183.62/125.88 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 183.62/125.88 | (393) all_181_1_103 = all_0_3_3 % 183.62/125.88 | % 183.62/125.88 | From (393) and (259) follows: % 183.62/125.88 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 183.62/125.88 | % 183.62/125.88 +-Applying beta-rule and splitting (8155), into two cases. % 183.62/125.88 |-Branch one: % 183.62/125.88 | (8178) all_418_0_979 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.88 | % 183.62/125.88 | Applying alpha-rule on (8178) yields: % 183.62/125.88 | (8179) all_418_0_979 = 0 % 183.62/125.88 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 183.62/125.88 | (1809) all_205_2_109 = all_0_3_3 % 183.62/125.88 | % 183.62/125.88 | From (1809) and (296) follows: % 183.62/125.88 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 183.62/125.88 | (288) all_181_0_102 = 0 % 183.62/125.88 | % 183.62/125.88 | Equations (288) can reduce 258 to: % 183.62/125.88 | (173) $false % 183.62/125.88 | % 183.62/125.88 |-The branch is then unsatisfiable % 183.62/125.88 |-Branch two: % 183.62/125.88 | (8185) all_418_0_979 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.88 | % 183.62/125.88 | Applying alpha-rule on (8185) yields: % 183.62/125.88 | (8179) all_418_0_979 = 0 % 183.62/125.88 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 183.62/125.88 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 183.62/125.88 | % 183.62/125.88 | Instantiating (1816) with all_464_0_1004 yields: % 183.62/125.88 | (8376) (all_464_0_1004 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1004 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 183.62/125.88 | % 183.62/125.88 +-Applying beta-rule and splitting (8275), into two cases. % 183.62/125.88 |-Branch one: % 183.62/125.88 | (8298) all_434_0_987 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.88 | % 183.62/125.88 | Applying alpha-rule on (8298) yields: % 183.62/125.88 | (8299) all_434_0_987 = 0 % 183.62/125.88 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.88 | % 183.62/125.88 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.62/125.88 | (405) all_135_1_90 = all_0_6_6 % 183.62/125.88 | % 183.62/125.88 | From (405) and (231) follows: % 183.62/125.88 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 183.62/125.88 | % 183.62/125.88 +-Applying beta-rule and splitting (8376), into two cases. % 183.62/125.88 |-Branch one: % 183.62/125.89 | (8382) all_464_0_1004 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.89 | % 183.62/125.89 | Applying alpha-rule on (8382) yields: % 183.62/125.89 | (8383) all_464_0_1004 = 0 % 183.62/125.89 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 183.62/125.89 | (1833) all_205_2_109 = all_0_6_6 % 183.62/125.89 | % 183.62/125.89 | From (1833) and (303) follows: % 183.62/125.89 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 183.62/125.89 | (261) all_135_0_89 = 0 % 183.62/125.89 | % 183.62/125.89 | Equations (261) can reduce 230 to: % 183.62/125.89 | (173) $false % 183.62/125.89 | % 183.62/125.89 |-The branch is then unsatisfiable % 183.62/125.89 |-Branch two: % 183.62/125.89 | (8389) all_464_0_1004 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.89 | % 183.62/125.89 | Applying alpha-rule on (8389) yields: % 183.62/125.89 | (8383) all_464_0_1004 = 0 % 183.62/125.89 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 183.62/125.89 | (1840) all_205_2_109 = all_0_9_9 % 183.62/125.89 | % 183.62/125.89 | From (1840) and (309) follows: % 183.62/125.89 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.62/125.89 | (233) all_110_0_83 = 0 % 183.62/125.89 | % 183.62/125.89 | Equations (233) can reduce 209 to: % 183.62/125.89 | (173) $false % 183.62/125.89 | % 183.62/125.89 |-The branch is then unsatisfiable % 183.62/125.89 |-Branch two: % 183.62/125.89 | (8305) all_434_0_987 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.89 | % 183.62/125.89 | Applying alpha-rule on (8305) yields: % 183.62/125.89 | (8299) all_434_0_987 = 0 % 183.62/125.89 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 183.62/125.89 | (412) all_135_1_90 = all_0_9_9 % 183.62/125.89 | % 183.62/125.89 | From (412) and (232) follows: % 183.62/125.89 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.62/125.89 | (233) all_110_0_83 = 0 % 183.62/125.89 | % 183.62/125.89 | Equations (233) can reduce 209 to: % 183.62/125.89 | (173) $false % 183.62/125.89 | % 183.62/125.89 |-The branch is then unsatisfiable % 183.62/125.89 |-Branch two: % 183.62/125.89 | (8173) all_410_0_978 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.89 | % 183.62/125.89 | Applying alpha-rule on (8173) yields: % 183.62/125.89 | (8167) all_410_0_978 = 0 % 183.62/125.89 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 183.62/125.89 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 183.62/125.89 | % 183.62/125.89 | Instantiating (400) with all_453_0_1006 yields: % 183.62/125.89 | (8407) (all_453_0_1006 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_1006 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 183.62/125.89 | % 183.62/125.89 +-Applying beta-rule and splitting (8275), into two cases. % 183.62/125.89 |-Branch one: % 183.62/125.89 | (8298) all_434_0_987 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.89 | % 183.62/125.89 | Applying alpha-rule on (8298) yields: % 183.62/125.89 | (8299) all_434_0_987 = 0 % 183.62/125.89 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 183.62/125.89 | (405) all_135_1_90 = all_0_6_6 % 183.62/125.89 | % 183.62/125.89 | From (405) and (231) follows: % 183.62/125.89 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 183.62/125.89 | % 183.62/125.89 +-Applying beta-rule and splitting (8407), into two cases. % 183.62/125.89 |-Branch one: % 183.62/125.89 | (8413) all_453_0_1006 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.89 | % 183.62/125.89 | Applying alpha-rule on (8413) yields: % 183.62/125.89 | (8414) all_453_0_1006 = 0 % 183.62/125.89 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 183.62/125.89 | (417) all_181_1_103 = all_0_6_6 % 183.62/125.89 | % 183.62/125.89 | From (417) and (260) follows: % 183.62/125.89 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 183.62/125.89 | (261) all_135_0_89 = 0 % 183.62/125.89 | % 183.62/125.89 | Equations (261) can reduce 230 to: % 183.62/125.89 | (173) $false % 183.62/125.89 | % 183.62/125.89 |-The branch is then unsatisfiable % 183.62/125.89 |-Branch two: % 183.62/125.89 | (8420) all_453_0_1006 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.89 | % 183.62/125.89 | Applying alpha-rule on (8420) yields: % 183.62/125.89 | (8414) all_453_0_1006 = 0 % 183.62/125.89 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 183.62/125.89 | % 183.62/125.89 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 183.62/125.89 | (424) all_181_1_103 = all_0_9_9 % 183.62/125.89 | % 183.62/125.89 | From (424) and (269) follows: % 183.62/125.89 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 183.62/125.90 | % 183.62/125.90 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 183.62/125.90 | (233) all_110_0_83 = 0 % 183.62/125.90 | % 183.62/125.90 | Equations (233) can reduce 209 to: % 183.62/125.90 | (173) $false % 183.62/125.90 | % 183.62/125.90 |-The branch is then unsatisfiable % 183.62/125.90 |-Branch two: % 183.62/125.90 | (8305) all_434_0_987 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 184.04/125.90 | % 184.04/125.90 | Applying alpha-rule on (8305) yields: % 184.04/125.90 | (8299) all_434_0_987 = 0 % 184.04/125.90 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 184.04/125.90 | % 184.04/125.90 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 184.04/125.90 | (412) all_135_1_90 = all_0_9_9 % 184.04/125.90 | % 184.04/125.90 | From (412) and (232) follows: % 184.04/125.90 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.04/125.90 | % 184.04/125.90 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.04/125.90 | (233) all_110_0_83 = 0 % 184.04/125.90 | % 184.04/125.90 | Equations (233) can reduce 209 to: % 184.04/125.90 | (173) $false % 184.04/125.90 | % 184.04/125.90 |-The branch is then unsatisfiable % 184.04/125.90 |-Branch two: % 184.04/125.90 | (8127) all_378_0_967 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 184.04/125.90 | % 184.04/125.90 | Applying alpha-rule on (8127) yields: % 184.04/125.90 | (8025) all_378_0_967 = 0 % 184.04/125.90 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 184.04/125.90 | % 184.04/125.90 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 184.04/125.90 | (1890) all_205_2_109 = all_0_5_5 % 184.04/125.90 | % 184.04/125.90 | From (1890) and (315) follows: % 184.04/125.90 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.04/125.90 | % 184.04/125.90 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.04/125.90 | (212) all_85_0_75 = 0 % 184.04/125.90 | % 184.04/125.90 | Equations (212) can reduce 181 to: % 184.04/125.90 | (173) $false % 184.04/125.90 | % 184.04/125.90 |-The branch is then unsatisfiable % 184.04/125.90 |-Branch two: % 184.04/125.90 | (7678) all_359_0_927 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 184.04/125.90 | % 184.04/125.90 | Applying alpha-rule on (7678) yields: % 184.04/125.90 | (7564) all_359_0_927 = 0 % 184.04/125.90 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 184.04/125.90 | % 184.04/125.90 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 184.04/125.90 | (474) all_181_1_103 = all_0_5_5 % 184.04/125.90 | % 184.04/125.90 | From (474) and (297) follows: % 184.04/125.90 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.04/125.90 | % 184.04/125.90 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.04/125.90 | (212) all_85_0_75 = 0 % 184.04/125.90 | % 184.04/125.90 | Equations (212) can reduce 181 to: % 184.04/125.90 | (173) $false % 184.04/125.90 | % 184.04/125.90 |-The branch is then unsatisfiable % 184.04/125.90 |-Branch two: % 184.04/125.90 | (7992) all_343_0_925 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 184.04/125.90 | % 184.04/125.90 | Applying alpha-rule on (7992) yields: % 184.04/125.90 | (7554) all_343_0_925 = 0 % 184.04/125.90 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 184.04/125.90 | % 184.04/125.90 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 184.04/125.90 | (589) all_135_1_90 = all_0_5_5 % 184.04/125.90 | % 184.04/125.90 | From (589) and (241) follows: % 184.04/125.91 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.04/125.91 | % 184.04/125.91 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.04/125.91 | (212) all_85_0_75 = 0 % 184.04/125.91 | % 184.04/125.91 | Equations (212) can reduce 181 to: % 184.04/125.91 | (173) $false % 184.04/125.91 | % 184.04/125.91 |-The branch is then unsatisfiable % 184.04/125.91 |-Branch two: % 184.04/125.91 | (2952) all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 184.04/125.91 | % 184.04/125.91 | Applying alpha-rule on (2952) yields: % 184.04/125.91 | (1650) all_318_0_130 = 0 % 184.04/125.91 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 184.04/125.91 | % 184.04/125.91 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 184.04/125.91 | (2955) all_205_2_109 = all_0_8_8 % 184.04/125.91 | % 184.04/125.91 | From (2955) and (275) follows: % 184.04/125.91 | (2956) mem(all_0_8_8, all_165_1_98) = 0 % 184.04/125.91 | % 184.04/125.91 | Instantiating formula (58) with all_0_8_8, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_8_8, all_165_1_98) = all_226_0_114, mem(all_0_8_8, all_165_1_98) = 0, yields: % 184.04/125.91 | (2957) all_226_0_114 = 0 % 184.04/125.91 | % 184.04/125.91 | Equations (2957) can reduce 285 to: % 184.04/125.91 | (173) $false % 184.04/125.91 | % 184.04/125.91 |-The branch is then unsatisfiable % 184.04/125.91 |-Branch two: % 184.04/125.91 | (2959) all_292_0_126 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 184.04/125.91 | % 184.04/125.91 | Applying alpha-rule on (2959) yields: % 184.04/125.91 | (337) all_292_0_126 = 0 % 184.04/125.91 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 184.04/125.91 | % 184.04/125.91 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 184.04/125.91 | (2962) all_181_1_103 = all_0_8_8 % 184.04/125.91 | % 184.04/125.91 | From (2962) and (259) follows: % 184.04/125.91 | (2963) mem(all_0_8_8, all_129_1_88) = all_181_0_102 % 184.04/125.91 | % 184.04/125.91 +-Applying beta-rule and splitting (318), into two cases. % 184.04/125.91 |-Branch one: % 184.04/125.91 | (341) all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 184.04/125.91 | % 184.04/125.91 | Applying alpha-rule on (341) yields: % 184.04/125.91 | (342) all_311_0_129 = 0 % 184.04/125.91 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 184.04/125.91 | % 184.04/125.91 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 184.04/125.91 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 184.04/125.91 | % 184.04/125.91 | Instantiating (344) with all_370_0_1020 yields: % 184.04/125.91 | (8471) (all_370_0_1020 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_370_0_1020 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 184.04/125.91 | % 184.04/125.91 +-Applying beta-rule and splitting (320), into two cases. % 184.04/125.91 |-Branch one: % 184.04/125.91 | (1649) all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 184.04/125.91 | % 184.04/125.91 | Applying alpha-rule on (1649) yields: % 184.04/125.91 | (1650) all_318_0_130 = 0 % 184.04/125.91 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 184.04/125.91 | % 184.04/125.91 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 184.04/125.91 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 184.04/125.91 | % 184.04/125.91 | Instantiating (1652) with all_378_0_1021 yields: % 184.04/125.91 | (8476) (all_378_0_1021 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_378_0_1021 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 184.04/125.91 | % 184.04/125.91 +-Applying beta-rule and splitting (7537), into two cases. % 184.04/125.91 |-Branch one: % 184.04/125.91 | (7553) all_343_0_925 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 184.04/125.91 | % 184.04/125.91 | Applying alpha-rule on (7553) yields: % 184.04/125.91 | (7554) all_343_0_925 = 0 % 184.04/125.91 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 184.04/125.91 | % 184.04/125.91 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 184.04/125.91 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 184.04/125.91 | % 184.04/125.91 | Instantiating (354) with all_394_0_1023 yields: % 184.04/125.91 | (8481) (all_394_0_1023 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_394_0_1023 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 184.04/125.91 | % 184.04/125.91 +-Applying beta-rule and splitting (7542), into two cases. % 184.04/125.91 |-Branch one: % 184.04/125.91 | (7558) all_351_0_926 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 184.04/125.91 | % 184.04/125.91 | Applying alpha-rule on (7558) yields: % 184.04/125.91 | (7559) all_351_0_926 = 0 % 184.04/125.91 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 184.04/125.91 | % 184.04/125.91 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 184.04/125.91 | (359) all_110_1_84 = all_0_3_3 % 184.04/125.91 | % 184.04/125.91 | From (359) and (210) follows: % 184.04/125.91 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 184.04/125.91 | % 184.12/125.91 +-Applying beta-rule and splitting (8471), into two cases. % 184.12/125.91 |-Branch one: % 184.12/125.91 | (8487) all_370_0_1020 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 184.12/125.91 | % 184.12/125.91 | Applying alpha-rule on (8487) yields: % 184.12/125.91 | (8488) all_370_0_1020 = 0 % 184.12/125.91 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 184.12/125.91 | % 184.12/125.91 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 184.12/125.91 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 184.12/125.91 | % 184.12/125.91 | Instantiating (479) with all_413_0_1024 yields: % 184.12/125.91 | (8491) (all_413_0_1024 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_413_0_1024 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 184.12/125.91 | % 184.12/125.91 +-Applying beta-rule and splitting (8476), into two cases. % 184.12/125.91 |-Branch one: % 184.12/125.91 | (8492) all_378_0_1021 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 184.12/125.91 | % 184.12/125.91 | Applying alpha-rule on (8492) yields: % 184.12/125.91 | (8493) all_378_0_1021 = 0 % 184.12/125.91 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 184.12/125.91 | % 184.12/125.91 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 184.12/125.91 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 184.12/125.91 | % 184.12/125.91 | Instantiating (1787) with all_421_0_1025 yields: % 184.12/125.91 | (8496) (all_421_0_1025 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_1025 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 184.12/125.91 | % 184.12/125.91 +-Applying beta-rule and splitting (8481), into two cases. % 184.12/125.91 |-Branch one: % 184.12/125.91 | (8497) all_394_0_1023 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 184.12/125.91 | % 184.12/125.91 | Applying alpha-rule on (8497) yields: % 184.12/125.91 | (8498) all_394_0_1023 = 0 % 184.12/125.91 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 184.12/125.91 | % 184.12/125.91 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 184.12/125.91 | (376) all_135_1_90 = all_0_3_3 % 184.12/125.91 | % 184.12/125.91 | From (376) and (232) follows: % 184.12/125.91 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 184.12/125.91 | % 184.12/125.91 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 184.12/125.91 | (233) all_110_0_83 = 0 % 184.12/125.91 | % 184.12/125.91 | Equations (233) can reduce 209 to: % 184.12/125.91 | (173) $false % 184.12/125.91 | % 184.12/125.91 |-The branch is then unsatisfiable % 184.12/125.91 |-Branch two: % 184.12/125.91 | (8504) all_394_0_1023 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 184.12/125.91 | % 184.12/125.91 | Applying alpha-rule on (8504) yields: % 184.12/125.91 | (8498) all_394_0_1023 = 0 % 184.12/125.91 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 184.12/125.91 | % 184.12/125.91 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 184.12/125.91 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 184.12/125.91 | % 184.12/125.91 | Instantiating (383) with all_437_0_1027 yields: % 184.12/125.91 | (8508) (all_437_0_1027 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_437_0_1027 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 184.12/125.91 | % 184.12/125.91 +-Applying beta-rule and splitting (8491), into two cases. % 184.12/125.91 |-Branch one: % 184.12/125.91 | (8509) all_413_0_1024 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.12/125.91 | % 184.12/125.91 | Applying alpha-rule on (8509) yields: % 184.12/125.91 | (8510) all_413_0_1024 = 0 % 184.12/125.91 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.12/125.91 | % 184.12/125.91 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.12/125.91 | (501) all_226_1_115 = all_0_3_3 % 184.12/125.91 | % 184.12/125.91 | From (501) and (302) follows: % 184.12/125.91 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 184.12/125.91 | % 184.12/125.91 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 184.12/125.91 | (233) all_110_0_83 = 0 % 184.12/125.91 | % 184.12/125.91 | Equations (233) can reduce 209 to: % 184.12/125.91 | (173) $false % 184.12/125.91 | % 184.12/125.91 |-The branch is then unsatisfiable % 184.12/125.91 |-Branch two: % 184.12/125.92 | (8516) all_413_0_1024 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8516) yields: % 184.12/125.92 | (8510) all_413_0_1024 = 0 % 184.12/125.92 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.12/125.92 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.12/125.92 | % 184.12/125.92 | Instantiating (508) with all_445_0_1028 yields: % 184.12/125.92 | (8520) (all_445_0_1028 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1028 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.12/125.92 | % 184.12/125.92 +-Applying beta-rule and splitting (8496), into two cases. % 184.12/125.92 |-Branch one: % 184.12/125.92 | (8521) all_421_0_1025 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8521) yields: % 184.12/125.92 | (8522) all_421_0_1025 = 0 % 184.12/125.92 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.12/125.92 | (1809) all_205_2_109 = all_0_3_3 % 184.12/125.92 | % 184.12/125.92 | From (1809) and (309) follows: % 184.12/125.92 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 184.12/125.92 | (233) all_110_0_83 = 0 % 184.12/125.92 | % 184.12/125.92 | Equations (233) can reduce 209 to: % 184.12/125.92 | (173) $false % 184.12/125.92 | % 184.12/125.92 |-The branch is then unsatisfiable % 184.12/125.92 |-Branch two: % 184.12/125.92 | (8528) all_421_0_1025 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8528) yields: % 184.12/125.92 | (8522) all_421_0_1025 = 0 % 184.12/125.92 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.12/125.92 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.12/125.92 | % 184.12/125.92 | Instantiating (1816) with all_453_0_1029 yields: % 184.12/125.92 | (8532) (all_453_0_1029 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1029 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.12/125.92 | % 184.12/125.92 +-Applying beta-rule and splitting (8508), into two cases. % 184.12/125.92 |-Branch one: % 184.12/125.92 | (8533) all_437_0_1027 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8533) yields: % 184.12/125.92 | (8534) all_437_0_1027 = 0 % 184.12/125.92 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 184.12/125.92 | (405) all_135_1_90 = all_0_6_6 % 184.12/125.92 | % 184.12/125.92 | From (405) and (231) follows: % 184.12/125.92 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 184.12/125.92 | % 184.12/125.92 +-Applying beta-rule and splitting (8520), into two cases. % 184.12/125.92 |-Branch one: % 184.12/125.92 | (8538) all_445_0_1028 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8538) yields: % 184.12/125.92 | (8539) all_445_0_1028 = 0 % 184.12/125.92 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.12/125.92 | (525) all_226_1_115 = all_0_6_6 % 184.12/125.92 | % 184.12/125.92 | From (525) and (295) follows: % 184.12/125.92 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.12/125.92 | (261) all_135_0_89 = 0 % 184.12/125.92 | % 184.12/125.92 | Equations (261) can reduce 230 to: % 184.12/125.92 | (173) $false % 184.12/125.92 | % 184.12/125.92 |-The branch is then unsatisfiable % 184.12/125.92 |-Branch two: % 184.12/125.92 | (8545) all_445_0_1028 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8545) yields: % 184.12/125.92 | (8539) all_445_0_1028 = 0 % 184.12/125.92 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.12/125.92 | (532) all_226_1_115 = all_0_9_9 % 184.12/125.92 | % 184.12/125.92 | From (532) and (286) follows: % 184.12/125.92 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 184.12/125.92 | % 184.12/125.92 +-Applying beta-rule and splitting (8532), into two cases. % 184.12/125.92 |-Branch one: % 184.12/125.92 | (8550) all_453_0_1029 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8550) yields: % 184.12/125.92 | (8551) all_453_0_1029 = 0 % 184.12/125.92 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.12/125.92 | (1833) all_205_2_109 = all_0_6_6 % 184.12/125.92 | % 184.12/125.92 | From (1833) and (303) follows: % 184.12/125.92 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.12/125.92 | (261) all_135_0_89 = 0 % 184.12/125.92 | % 184.12/125.92 | Equations (261) can reduce 230 to: % 184.12/125.92 | (173) $false % 184.12/125.92 | % 184.12/125.92 |-The branch is then unsatisfiable % 184.12/125.92 |-Branch two: % 184.12/125.92 | (8557) all_453_0_1029 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8557) yields: % 184.12/125.92 | (8551) all_453_0_1029 = 0 % 184.12/125.92 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.12/125.92 | (1840) all_205_2_109 = all_0_9_9 % 184.12/125.92 | % 184.12/125.92 | From (1840) and (275) follows: % 184.12/125.92 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 184.12/125.92 | (2957) all_226_0_114 = 0 % 184.12/125.92 | % 184.12/125.92 | Equations (2957) can reduce 285 to: % 184.12/125.92 | (173) $false % 184.12/125.92 | % 184.12/125.92 |-The branch is then unsatisfiable % 184.12/125.92 |-Branch two: % 184.12/125.92 | (8564) all_437_0_1027 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8564) yields: % 184.12/125.92 | (8534) all_437_0_1027 = 0 % 184.12/125.92 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 184.12/125.92 | (412) all_135_1_90 = all_0_9_9 % 184.12/125.92 | % 184.12/125.92 | From (412) and (231) follows: % 184.12/125.92 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 184.12/125.92 | % 184.12/125.92 +-Applying beta-rule and splitting (8520), into two cases. % 184.12/125.92 |-Branch one: % 184.12/125.92 | (8538) all_445_0_1028 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8538) yields: % 184.12/125.92 | (8539) all_445_0_1028 = 0 % 184.12/125.92 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.12/125.92 | (525) all_226_1_115 = all_0_6_6 % 184.12/125.92 | % 184.12/125.92 | From (525) and (286) follows: % 184.12/125.92 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 184.12/125.92 | % 184.12/125.92 +-Applying beta-rule and splitting (8532), into two cases. % 184.12/125.92 |-Branch one: % 184.12/125.92 | (8550) all_453_0_1029 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Applying alpha-rule on (8550) yields: % 184.12/125.92 | (8551) all_453_0_1029 = 0 % 184.12/125.92 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.12/125.92 | % 184.12/125.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.12/125.93 | (1833) all_205_2_109 = all_0_6_6 % 184.12/125.93 | % 184.12/125.93 | From (1833) and (275) follows: % 184.12/125.93 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 184.12/125.93 | % 184.12/125.93 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 184.12/125.93 | (2957) all_226_0_114 = 0 % 184.12/125.93 | % 184.12/125.93 | Equations (2957) can reduce 285 to: % 184.12/125.93 | (173) $false % 184.12/125.93 | % 184.12/125.93 |-The branch is then unsatisfiable % 184.12/125.93 |-Branch two: % 184.12/125.93 | (8557) all_453_0_1029 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.12/125.93 | % 184.12/125.93 | Applying alpha-rule on (8557) yields: % 184.12/125.93 | (8551) all_453_0_1029 = 0 % 184.12/125.93 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.12/125.93 | % 184.12/125.93 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.12/125.93 | (1840) all_205_2_109 = all_0_9_9 % 184.12/125.93 | % 184.12/125.93 | From (1840) and (303) follows: % 184.12/125.93 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.12/125.93 | % 184.12/125.93 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.12/125.93 | (261) all_135_0_89 = 0 % 184.12/125.93 | % 184.12/125.93 | Equations (261) can reduce 230 to: % 184.12/125.93 | (173) $false % 184.12/125.93 | % 184.12/125.93 |-The branch is then unsatisfiable % 184.12/125.93 |-Branch two: % 184.12/125.93 | (8545) all_445_0_1028 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.12/125.93 | % 184.12/125.93 | Applying alpha-rule on (8545) yields: % 184.12/125.93 | (8539) all_445_0_1028 = 0 % 184.12/125.93 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.12/125.93 | % 184.12/125.93 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.12/125.93 | (532) all_226_1_115 = all_0_9_9 % 184.12/125.93 | % 184.12/125.93 | From (532) and (295) follows: % 184.12/125.93 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.12/125.93 | % 184.12/125.93 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.12/125.93 | (261) all_135_0_89 = 0 % 184.12/125.93 | % 184.12/125.93 | Equations (261) can reduce 230 to: % 184.12/125.93 | (173) $false % 184.12/125.93 | % 184.12/125.93 |-The branch is then unsatisfiable % 184.12/125.93 |-Branch two: % 184.12/125.93 | (8595) all_378_0_1021 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 184.12/125.93 | % 184.12/125.93 | Applying alpha-rule on (8595) yields: % 184.12/125.93 | (8493) all_378_0_1021 = 0 % 184.12/125.93 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 184.12/125.93 | % 184.12/125.93 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 184.12/125.93 | (1890) all_205_2_109 = all_0_5_5 % 184.12/125.93 | % 184.12/125.93 | From (1890) and (315) follows: % 184.12/125.93 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.12/125.93 | % 184.12/125.93 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.12/125.93 | (212) all_85_0_75 = 0 % 184.12/125.93 | % 184.12/125.93 | Equations (212) can reduce 181 to: % 184.12/125.93 | (173) $false % 184.12/125.93 | % 184.12/125.93 |-The branch is then unsatisfiable % 184.19/125.93 |-Branch two: % 184.19/125.93 | (8602) all_370_0_1020 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 184.19/125.93 | % 184.19/125.93 | Applying alpha-rule on (8602) yields: % 184.19/125.93 | (8488) all_370_0_1020 = 0 % 184.19/125.93 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 184.19/125.93 | % 184.19/125.93 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 184.19/125.93 | (582) all_226_1_115 = all_0_5_5 % 184.19/125.93 | % 184.19/125.93 | From (582) and (308) follows: % 184.19/125.93 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.19/125.93 | % 184.19/125.93 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.19/125.93 | (212) all_85_0_75 = 0 % 184.19/125.93 | % 184.19/125.93 | Equations (212) can reduce 181 to: % 184.19/125.93 | (173) $false % 184.19/125.93 | % 184.19/125.93 |-The branch is then unsatisfiable % 184.19/125.93 |-Branch two: % 184.19/125.93 | (7685) all_351_0_926 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 184.19/125.93 | % 184.19/125.93 | Applying alpha-rule on (7685) yields: % 184.19/125.93 | (7559) all_351_0_926 = 0 % 184.19/125.93 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 184.19/125.93 | % 184.19/125.93 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 184.19/125.93 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 184.19/125.93 | % 184.19/125.93 | Instantiating (366) with all_402_0_1031 yields: % 184.19/125.93 | (8613) (all_402_0_1031 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_402_0_1031 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 184.19/125.93 | % 184.19/125.93 +-Applying beta-rule and splitting (8471), into two cases. % 184.19/125.93 |-Branch one: % 184.19/125.93 | (8487) all_370_0_1020 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 184.19/125.93 | % 184.19/125.93 | Applying alpha-rule on (8487) yields: % 184.19/125.93 | (8488) all_370_0_1020 = 0 % 184.19/125.93 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 184.19/125.93 | % 184.19/125.93 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 184.19/125.93 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 184.19/125.93 | % 184.19/125.93 | Instantiating (479) with all_410_0_1032 yields: % 184.19/125.93 | (8618) (all_410_0_1032 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_1032 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 184.19/125.93 | % 184.19/125.93 +-Applying beta-rule and splitting (8476), into two cases. % 184.19/125.93 |-Branch one: % 184.19/125.93 | (8492) all_378_0_1021 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 184.19/125.93 | % 184.19/125.93 | Applying alpha-rule on (8492) yields: % 184.19/125.93 | (8493) all_378_0_1021 = 0 % 184.19/125.93 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 184.19/125.93 | % 184.19/125.93 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 184.19/125.93 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 184.19/125.93 | % 184.19/125.93 | Instantiating (1787) with all_418_0_1033 yields: % 184.19/125.93 | (8623) (all_418_0_1033 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_1033 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 184.19/125.93 | % 184.19/125.93 +-Applying beta-rule and splitting (8481), into two cases. % 184.19/125.93 |-Branch one: % 184.19/125.93 | (8497) all_394_0_1023 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 184.19/125.93 | % 184.19/125.93 | Applying alpha-rule on (8497) yields: % 184.19/125.93 | (8498) all_394_0_1023 = 0 % 184.19/125.93 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 184.19/125.93 | % 184.19/125.93 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 184.19/125.93 | (376) all_135_1_90 = all_0_3_3 % 184.19/125.93 | % 184.19/125.93 | From (376) and (231) follows: % 184.19/125.93 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 184.19/125.93 | % 184.19/125.93 +-Applying beta-rule and splitting (8613), into two cases. % 184.19/125.93 |-Branch one: % 184.19/125.93 | (8629) all_402_0_1031 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 184.19/125.93 | % 184.19/125.94 | Applying alpha-rule on (8629) yields: % 184.19/125.94 | (8630) all_402_0_1031 = 0 % 184.19/125.94 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 184.19/125.94 | (388) all_110_1_84 = all_0_6_6 % 184.19/125.94 | % 184.19/125.94 | From (388) and (210) follows: % 184.19/125.94 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 184.19/125.94 | % 184.19/125.94 +-Applying beta-rule and splitting (8618), into two cases. % 184.19/125.94 |-Branch one: % 184.19/125.94 | (8634) all_410_0_1032 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8634) yields: % 184.19/125.94 | (8635) all_410_0_1032 = 0 % 184.19/125.94 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.19/125.94 | (501) all_226_1_115 = all_0_3_3 % 184.19/125.94 | % 184.19/125.94 | From (501) and (295) follows: % 184.19/125.94 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 184.19/125.94 | (261) all_135_0_89 = 0 % 184.19/125.94 | % 184.19/125.94 | Equations (261) can reduce 230 to: % 184.19/125.94 | (173) $false % 184.19/125.94 | % 184.19/125.94 |-The branch is then unsatisfiable % 184.19/125.94 |-Branch two: % 184.19/125.94 | (8641) all_410_0_1032 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8641) yields: % 184.19/125.94 | (8635) all_410_0_1032 = 0 % 184.19/125.94 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.19/125.94 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.19/125.94 | % 184.19/125.94 | Instantiating (508) with all_456_0_1035 yields: % 184.19/125.94 | (8645) (all_456_0_1035 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1035 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.19/125.94 | % 184.19/125.94 +-Applying beta-rule and splitting (8623), into two cases. % 184.19/125.94 |-Branch one: % 184.19/125.94 | (8646) all_418_0_1033 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8646) yields: % 184.19/125.94 | (8647) all_418_0_1033 = 0 % 184.19/125.94 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.19/125.94 | (1809) all_205_2_109 = all_0_3_3 % 184.19/125.94 | % 184.19/125.94 | From (1809) and (303) follows: % 184.19/125.94 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 184.19/125.94 | (261) all_135_0_89 = 0 % 184.19/125.94 | % 184.19/125.94 | Equations (261) can reduce 230 to: % 184.19/125.94 | (173) $false % 184.19/125.94 | % 184.19/125.94 |-The branch is then unsatisfiable % 184.19/125.94 |-Branch two: % 184.19/125.94 | (8653) all_418_0_1033 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8653) yields: % 184.19/125.94 | (8647) all_418_0_1033 = 0 % 184.19/125.94 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.19/125.94 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.19/125.94 | % 184.19/125.94 | Instantiating (1816) with all_464_0_1036 yields: % 184.19/125.94 | (8657) (all_464_0_1036 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1036 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.19/125.94 | % 184.19/125.94 +-Applying beta-rule and splitting (8645), into two cases. % 184.19/125.94 |-Branch one: % 184.19/125.94 | (8658) all_456_0_1035 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8658) yields: % 184.19/125.94 | (8659) all_456_0_1035 = 0 % 184.19/125.94 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.19/125.94 | (525) all_226_1_115 = all_0_6_6 % 184.19/125.94 | % 184.19/125.94 | From (525) and (302) follows: % 184.19/125.94 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.19/125.94 | (233) all_110_0_83 = 0 % 184.19/125.94 | % 184.19/125.94 | Equations (233) can reduce 209 to: % 184.19/125.94 | (173) $false % 184.19/125.94 | % 184.19/125.94 |-The branch is then unsatisfiable % 184.19/125.94 |-Branch two: % 184.19/125.94 | (8665) all_456_0_1035 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8665) yields: % 184.19/125.94 | (8659) all_456_0_1035 = 0 % 184.19/125.94 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.19/125.94 | (532) all_226_1_115 = all_0_9_9 % 184.19/125.94 | % 184.19/125.94 | From (532) and (286) follows: % 184.19/125.94 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 184.19/125.94 | % 184.19/125.94 +-Applying beta-rule and splitting (8657), into two cases. % 184.19/125.94 |-Branch one: % 184.19/125.94 | (8670) all_464_0_1036 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8670) yields: % 184.19/125.94 | (8671) all_464_0_1036 = 0 % 184.19/125.94 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.19/125.94 | (1833) all_205_2_109 = all_0_6_6 % 184.19/125.94 | % 184.19/125.94 | From (1833) and (309) follows: % 184.19/125.94 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.19/125.94 | (233) all_110_0_83 = 0 % 184.19/125.94 | % 184.19/125.94 | Equations (233) can reduce 209 to: % 184.19/125.94 | (173) $false % 184.19/125.94 | % 184.19/125.94 |-The branch is then unsatisfiable % 184.19/125.94 |-Branch two: % 184.19/125.94 | (8677) all_464_0_1036 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8677) yields: % 184.19/125.94 | (8671) all_464_0_1036 = 0 % 184.19/125.94 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.19/125.94 | (1840) all_205_2_109 = all_0_9_9 % 184.19/125.94 | % 184.19/125.94 | From (1840) and (275) follows: % 184.19/125.94 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 184.19/125.94 | (2957) all_226_0_114 = 0 % 184.19/125.94 | % 184.19/125.94 | Equations (2957) can reduce 285 to: % 184.19/125.94 | (173) $false % 184.19/125.94 | % 184.19/125.94 |-The branch is then unsatisfiable % 184.19/125.94 |-Branch two: % 184.19/125.94 | (8684) all_402_0_1031 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8684) yields: % 184.19/125.94 | (8630) all_402_0_1031 = 0 % 184.19/125.94 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 184.19/125.94 | (431) all_110_1_84 = all_0_9_9 % 184.19/125.94 | % 184.19/125.94 | From (431) and (210) follows: % 184.19/125.94 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 184.19/125.94 | % 184.19/125.94 +-Applying beta-rule and splitting (8618), into two cases. % 184.19/125.94 |-Branch one: % 184.19/125.94 | (8634) all_410_0_1032 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.94 | % 184.19/125.94 | Applying alpha-rule on (8634) yields: % 184.19/125.94 | (8635) all_410_0_1032 = 0 % 184.19/125.94 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.19/125.94 | (501) all_226_1_115 = all_0_3_3 % 184.19/125.94 | % 184.19/125.94 | From (501) and (295) follows: % 184.19/125.94 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 184.19/125.94 | % 184.19/125.94 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 184.19/125.95 | (261) all_135_0_89 = 0 % 184.19/125.95 | % 184.19/125.95 | Equations (261) can reduce 230 to: % 184.19/125.95 | (173) $false % 184.19/125.95 | % 184.19/125.95 |-The branch is then unsatisfiable % 184.19/125.95 |-Branch two: % 184.19/125.95 | (8641) all_410_0_1032 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8641) yields: % 184.19/125.95 | (8635) all_410_0_1032 = 0 % 184.19/125.95 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.19/125.95 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.19/125.95 | % 184.19/125.95 | Instantiating (508) with all_456_0_1038 yields: % 184.19/125.95 | (8700) (all_456_0_1038 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1038 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.19/125.95 | % 184.19/125.95 +-Applying beta-rule and splitting (8623), into two cases. % 184.19/125.95 |-Branch one: % 184.19/125.95 | (8646) all_418_0_1033 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8646) yields: % 184.19/125.95 | (8647) all_418_0_1033 = 0 % 184.19/125.95 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.19/125.95 | (1809) all_205_2_109 = all_0_3_3 % 184.19/125.95 | % 184.19/125.95 | From (1809) and (303) follows: % 184.19/125.95 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 184.19/125.95 | (261) all_135_0_89 = 0 % 184.19/125.95 | % 184.19/125.95 | Equations (261) can reduce 230 to: % 184.19/125.95 | (173) $false % 184.19/125.95 | % 184.19/125.95 |-The branch is then unsatisfiable % 184.19/125.95 |-Branch two: % 184.19/125.95 | (8653) all_418_0_1033 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8653) yields: % 184.19/125.95 | (8647) all_418_0_1033 = 0 % 184.19/125.95 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.19/125.95 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.19/125.95 | % 184.19/125.95 | Instantiating (1816) with all_464_0_1039 yields: % 184.19/125.95 | (8712) (all_464_0_1039 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1039 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.19/125.95 | % 184.19/125.95 +-Applying beta-rule and splitting (8700), into two cases. % 184.19/125.95 |-Branch one: % 184.19/125.95 | (8713) all_456_0_1038 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8713) yields: % 184.19/125.95 | (8714) all_456_0_1038 = 0 % 184.19/125.95 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.19/125.95 | (525) all_226_1_115 = all_0_6_6 % 184.19/125.95 | % 184.19/125.95 | From (525) and (286) follows: % 184.19/125.95 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 184.19/125.95 | % 184.19/125.95 +-Applying beta-rule and splitting (8712), into two cases. % 184.19/125.95 |-Branch one: % 184.19/125.95 | (8718) all_464_0_1039 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8718) yields: % 184.19/125.95 | (8719) all_464_0_1039 = 0 % 184.19/125.95 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.19/125.95 | (1833) all_205_2_109 = all_0_6_6 % 184.19/125.95 | % 184.19/125.95 | From (1833) and (275) follows: % 184.19/125.95 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 184.19/125.95 | (2957) all_226_0_114 = 0 % 184.19/125.95 | % 184.19/125.95 | Equations (2957) can reduce 285 to: % 184.19/125.95 | (173) $false % 184.19/125.95 | % 184.19/125.95 |-The branch is then unsatisfiable % 184.19/125.95 |-Branch two: % 184.19/125.95 | (8725) all_464_0_1039 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8725) yields: % 184.19/125.95 | (8719) all_464_0_1039 = 0 % 184.19/125.95 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.19/125.95 | (1840) all_205_2_109 = all_0_9_9 % 184.19/125.95 | % 184.19/125.95 | From (1840) and (309) follows: % 184.19/125.95 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.19/125.95 | (233) all_110_0_83 = 0 % 184.19/125.95 | % 184.19/125.95 | Equations (233) can reduce 209 to: % 184.19/125.95 | (173) $false % 184.19/125.95 | % 184.19/125.95 |-The branch is then unsatisfiable % 184.19/125.95 |-Branch two: % 184.19/125.95 | (8732) all_456_0_1038 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8732) yields: % 184.19/125.95 | (8714) all_456_0_1038 = 0 % 184.19/125.95 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.19/125.95 | (532) all_226_1_115 = all_0_9_9 % 184.19/125.95 | % 184.19/125.95 | From (532) and (302) follows: % 184.19/125.95 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.19/125.95 | (233) all_110_0_83 = 0 % 184.19/125.95 | % 184.19/125.95 | Equations (233) can reduce 209 to: % 184.19/125.95 | (173) $false % 184.19/125.95 | % 184.19/125.95 |-The branch is then unsatisfiable % 184.19/125.95 |-Branch two: % 184.19/125.95 | (8504) all_394_0_1023 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8504) yields: % 184.19/125.95 | (8498) all_394_0_1023 = 0 % 184.19/125.95 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 184.19/125.95 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 184.19/125.95 | % 184.19/125.95 | Instantiating (383) with all_434_0_1041 yields: % 184.19/125.95 | (8743) (all_434_0_1041 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_434_0_1041 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 184.19/125.95 | % 184.19/125.95 +-Applying beta-rule and splitting (8613), into two cases. % 184.19/125.95 |-Branch one: % 184.19/125.95 | (8629) all_402_0_1031 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8629) yields: % 184.19/125.95 | (8630) all_402_0_1031 = 0 % 184.19/125.95 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 184.19/125.95 | (388) all_110_1_84 = all_0_6_6 % 184.19/125.95 | % 184.19/125.95 | From (388) and (210) follows: % 184.19/125.95 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 184.19/125.95 | % 184.19/125.95 +-Applying beta-rule and splitting (8618), into two cases. % 184.19/125.95 |-Branch one: % 184.19/125.95 | (8634) all_410_0_1032 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.95 | % 184.19/125.95 | Applying alpha-rule on (8634) yields: % 184.19/125.95 | (8635) all_410_0_1032 = 0 % 184.19/125.95 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.95 | % 184.19/125.95 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.19/125.95 | (501) all_226_1_115 = all_0_3_3 % 184.19/125.95 | % 184.19/125.95 | From (501) and (286) follows: % 184.19/125.95 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 184.19/125.95 | % 184.19/125.95 +-Applying beta-rule and splitting (8623), into two cases. % 184.19/125.95 |-Branch one: % 184.19/125.96 | (8646) all_418_0_1033 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8646) yields: % 184.19/125.96 | (8647) all_418_0_1033 = 0 % 184.19/125.96 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.19/125.96 | (1809) all_205_2_109 = all_0_3_3 % 184.19/125.96 | % 184.19/125.96 | From (1809) and (275) follows: % 184.19/125.96 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 184.19/125.96 | (2957) all_226_0_114 = 0 % 184.19/125.96 | % 184.19/125.96 | Equations (2957) can reduce 285 to: % 184.19/125.96 | (173) $false % 184.19/125.96 | % 184.19/125.96 |-The branch is then unsatisfiable % 184.19/125.96 |-Branch two: % 184.19/125.96 | (8653) all_418_0_1033 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8653) yields: % 184.19/125.96 | (8647) all_418_0_1033 = 0 % 184.19/125.96 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.19/125.96 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.19/125.96 | % 184.19/125.96 | Instantiating (1816) with all_464_0_1042 yields: % 184.19/125.96 | (8765) (all_464_0_1042 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1042 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.19/125.96 | % 184.19/125.96 +-Applying beta-rule and splitting (8743), into two cases. % 184.19/125.96 |-Branch one: % 184.19/125.96 | (8766) all_434_0_1041 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8766) yields: % 184.19/125.96 | (8767) all_434_0_1041 = 0 % 184.19/125.96 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 184.19/125.96 | (405) all_135_1_90 = all_0_6_6 % 184.19/125.96 | % 184.19/125.96 | From (405) and (232) follows: % 184.19/125.96 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.19/125.96 | (233) all_110_0_83 = 0 % 184.19/125.96 | % 184.19/125.96 | Equations (233) can reduce 209 to: % 184.19/125.96 | (173) $false % 184.19/125.96 | % 184.19/125.96 |-The branch is then unsatisfiable % 184.19/125.96 |-Branch two: % 184.19/125.96 | (8773) all_434_0_1041 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8773) yields: % 184.19/125.96 | (8767) all_434_0_1041 = 0 % 184.19/125.96 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 184.19/125.96 | (412) all_135_1_90 = all_0_9_9 % 184.19/125.96 | % 184.19/125.96 | From (412) and (231) follows: % 184.19/125.96 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 184.19/125.96 | % 184.19/125.96 +-Applying beta-rule and splitting (8765), into two cases. % 184.19/125.96 |-Branch one: % 184.19/125.96 | (8778) all_464_0_1042 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8778) yields: % 184.19/125.96 | (8779) all_464_0_1042 = 0 % 184.19/125.96 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.19/125.96 | (1833) all_205_2_109 = all_0_6_6 % 184.19/125.96 | % 184.19/125.96 | From (1833) and (309) follows: % 184.19/125.96 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.19/125.96 | (233) all_110_0_83 = 0 % 184.19/125.96 | % 184.19/125.96 | Equations (233) can reduce 209 to: % 184.19/125.96 | (173) $false % 184.19/125.96 | % 184.19/125.96 |-The branch is then unsatisfiable % 184.19/125.96 |-Branch two: % 184.19/125.96 | (8785) all_464_0_1042 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8785) yields: % 184.19/125.96 | (8779) all_464_0_1042 = 0 % 184.19/125.96 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.19/125.96 | (1840) all_205_2_109 = all_0_9_9 % 184.19/125.96 | % 184.19/125.96 | From (1840) and (303) follows: % 184.19/125.96 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.19/125.96 | (261) all_135_0_89 = 0 % 184.19/125.96 | % 184.19/125.96 | Equations (261) can reduce 230 to: % 184.19/125.96 | (173) $false % 184.19/125.96 | % 184.19/125.96 |-The branch is then unsatisfiable % 184.19/125.96 |-Branch two: % 184.19/125.96 | (8641) all_410_0_1032 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8641) yields: % 184.19/125.96 | (8635) all_410_0_1032 = 0 % 184.19/125.96 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.19/125.96 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.19/125.96 | % 184.19/125.96 | Instantiating (508) with all_453_0_1044 yields: % 184.19/125.96 | (8796) (all_453_0_1044 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1044 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.19/125.96 | % 184.19/125.96 +-Applying beta-rule and splitting (8743), into two cases. % 184.19/125.96 |-Branch one: % 184.19/125.96 | (8766) all_434_0_1041 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8766) yields: % 184.19/125.96 | (8767) all_434_0_1041 = 0 % 184.19/125.96 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 184.19/125.96 | (405) all_135_1_90 = all_0_6_6 % 184.19/125.96 | % 184.19/125.96 | From (405) and (232) follows: % 184.19/125.96 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.19/125.96 | (233) all_110_0_83 = 0 % 184.19/125.96 | % 184.19/125.96 | Equations (233) can reduce 209 to: % 184.19/125.96 | (173) $false % 184.19/125.96 | % 184.19/125.96 |-The branch is then unsatisfiable % 184.19/125.96 |-Branch two: % 184.19/125.96 | (8773) all_434_0_1041 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8773) yields: % 184.19/125.96 | (8767) all_434_0_1041 = 0 % 184.19/125.96 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 184.19/125.96 | (412) all_135_1_90 = all_0_9_9 % 184.19/125.96 | % 184.19/125.96 | From (412) and (231) follows: % 184.19/125.96 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 184.19/125.96 | % 184.19/125.96 +-Applying beta-rule and splitting (8796), into two cases. % 184.19/125.96 |-Branch one: % 184.19/125.96 | (8809) all_453_0_1044 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8809) yields: % 184.19/125.96 | (8810) all_453_0_1044 = 0 % 184.19/125.96 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.19/125.96 | (525) all_226_1_115 = all_0_6_6 % 184.19/125.96 | % 184.19/125.96 | From (525) and (302) follows: % 184.19/125.96 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.19/125.96 | (233) all_110_0_83 = 0 % 184.19/125.96 | % 184.19/125.96 | Equations (233) can reduce 209 to: % 184.19/125.96 | (173) $false % 184.19/125.96 | % 184.19/125.96 |-The branch is then unsatisfiable % 184.19/125.96 |-Branch two: % 184.19/125.96 | (8816) all_453_0_1044 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.19/125.96 | % 184.19/125.96 | Applying alpha-rule on (8816) yields: % 184.19/125.96 | (8810) all_453_0_1044 = 0 % 184.19/125.96 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.19/125.96 | (532) all_226_1_115 = all_0_9_9 % 184.19/125.96 | % 184.19/125.96 | From (532) and (295) follows: % 184.19/125.96 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.19/125.96 | % 184.19/125.96 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.19/125.96 | (261) all_135_0_89 = 0 % 184.19/125.96 | % 184.19/125.96 | Equations (261) can reduce 230 to: % 184.19/125.96 | (173) $false % 184.19/125.96 | % 184.19/125.96 |-The branch is then unsatisfiable % 184.19/125.97 |-Branch two: % 184.19/125.97 | (8684) all_402_0_1031 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8684) yields: % 184.19/125.97 | (8630) all_402_0_1031 = 0 % 184.19/125.97 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 184.19/125.97 | (431) all_110_1_84 = all_0_9_9 % 184.19/125.97 | % 184.19/125.97 | From (431) and (210) follows: % 184.19/125.97 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 184.19/125.97 | % 184.19/125.97 +-Applying beta-rule and splitting (8618), into two cases. % 184.19/125.97 |-Branch one: % 184.19/125.97 | (8634) all_410_0_1032 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8634) yields: % 184.19/125.97 | (8635) all_410_0_1032 = 0 % 184.19/125.97 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.19/125.97 | (501) all_226_1_115 = all_0_3_3 % 184.19/125.97 | % 184.19/125.97 | From (501) and (286) follows: % 184.19/125.97 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 184.19/125.97 | % 184.19/125.97 +-Applying beta-rule and splitting (8623), into two cases. % 184.19/125.97 |-Branch one: % 184.19/125.97 | (8646) all_418_0_1033 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8646) yields: % 184.19/125.97 | (8647) all_418_0_1033 = 0 % 184.19/125.97 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.19/125.97 | (1809) all_205_2_109 = all_0_3_3 % 184.19/125.97 | % 184.19/125.97 | From (1809) and (275) follows: % 184.19/125.97 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 184.19/125.97 | (2957) all_226_0_114 = 0 % 184.19/125.97 | % 184.19/125.97 | Equations (2957) can reduce 285 to: % 184.19/125.97 | (173) $false % 184.19/125.97 | % 184.19/125.97 |-The branch is then unsatisfiable % 184.19/125.97 |-Branch two: % 184.19/125.97 | (8653) all_418_0_1033 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8653) yields: % 184.19/125.97 | (8647) all_418_0_1033 = 0 % 184.19/125.97 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.19/125.97 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.19/125.97 | % 184.19/125.97 | Instantiating (1816) with all_464_0_1058 yields: % 184.19/125.97 | (8844) (all_464_0_1058 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1058 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.19/125.97 | % 184.19/125.97 +-Applying beta-rule and splitting (8743), into two cases. % 184.19/125.97 |-Branch one: % 184.19/125.97 | (8766) all_434_0_1041 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8766) yields: % 184.19/125.97 | (8767) all_434_0_1041 = 0 % 184.19/125.97 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 184.19/125.97 | (405) all_135_1_90 = all_0_6_6 % 184.19/125.97 | % 184.19/125.97 | From (405) and (231) follows: % 184.19/125.97 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 184.19/125.97 | % 184.19/125.97 +-Applying beta-rule and splitting (8844), into two cases. % 184.19/125.97 |-Branch one: % 184.19/125.97 | (8850) all_464_0_1058 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8850) yields: % 184.19/125.97 | (8851) all_464_0_1058 = 0 % 184.19/125.97 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.19/125.97 | (1833) all_205_2_109 = all_0_6_6 % 184.19/125.97 | % 184.19/125.97 | From (1833) and (303) follows: % 184.19/125.97 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.19/125.97 | (261) all_135_0_89 = 0 % 184.19/125.97 | % 184.19/125.97 | Equations (261) can reduce 230 to: % 184.19/125.97 | (173) $false % 184.19/125.97 | % 184.19/125.97 |-The branch is then unsatisfiable % 184.19/125.97 |-Branch two: % 184.19/125.97 | (8857) all_464_0_1058 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8857) yields: % 184.19/125.97 | (8851) all_464_0_1058 = 0 % 184.19/125.97 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.19/125.97 | (1840) all_205_2_109 = all_0_9_9 % 184.19/125.97 | % 184.19/125.97 | From (1840) and (309) follows: % 184.19/125.97 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.19/125.97 | (233) all_110_0_83 = 0 % 184.19/125.97 | % 184.19/125.97 | Equations (233) can reduce 209 to: % 184.19/125.97 | (173) $false % 184.19/125.97 | % 184.19/125.97 |-The branch is then unsatisfiable % 184.19/125.97 |-Branch two: % 184.19/125.97 | (8773) all_434_0_1041 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8773) yields: % 184.19/125.97 | (8767) all_434_0_1041 = 0 % 184.19/125.97 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 184.19/125.97 | (412) all_135_1_90 = all_0_9_9 % 184.19/125.97 | % 184.19/125.97 | From (412) and (232) follows: % 184.19/125.97 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.19/125.97 | (233) all_110_0_83 = 0 % 184.19/125.97 | % 184.19/125.97 | Equations (233) can reduce 209 to: % 184.19/125.97 | (173) $false % 184.19/125.97 | % 184.19/125.97 |-The branch is then unsatisfiable % 184.19/125.97 |-Branch two: % 184.19/125.97 | (8641) all_410_0_1032 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8641) yields: % 184.19/125.97 | (8635) all_410_0_1032 = 0 % 184.19/125.97 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.19/125.97 | % 184.19/125.97 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.19/125.97 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.19/125.97 | % 184.19/125.97 | Instantiating (508) with all_453_0_1060 yields: % 184.19/125.97 | (8875) (all_453_0_1060 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1060 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.19/125.97 | % 184.19/125.97 +-Applying beta-rule and splitting (8743), into two cases. % 184.19/125.97 |-Branch one: % 184.19/125.97 | (8766) all_434_0_1041 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 184.19/125.97 | % 184.19/125.97 | Applying alpha-rule on (8766) yields: % 184.19/125.98 | (8767) all_434_0_1041 = 0 % 184.19/125.98 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 184.19/125.98 | (405) all_135_1_90 = all_0_6_6 % 184.19/125.98 | % 184.19/125.98 | From (405) and (231) follows: % 184.19/125.98 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 184.19/125.98 | % 184.19/125.98 +-Applying beta-rule and splitting (8875), into two cases. % 184.19/125.98 |-Branch one: % 184.19/125.98 | (8881) all_453_0_1060 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.19/125.98 | % 184.19/125.98 | Applying alpha-rule on (8881) yields: % 184.19/125.98 | (8882) all_453_0_1060 = 0 % 184.19/125.98 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.19/125.98 | (525) all_226_1_115 = all_0_6_6 % 184.19/125.98 | % 184.19/125.98 | From (525) and (295) follows: % 184.19/125.98 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.19/125.98 | (261) all_135_0_89 = 0 % 184.19/125.98 | % 184.19/125.98 | Equations (261) can reduce 230 to: % 184.19/125.98 | (173) $false % 184.19/125.98 | % 184.19/125.98 |-The branch is then unsatisfiable % 184.19/125.98 |-Branch two: % 184.19/125.98 | (8888) all_453_0_1060 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.19/125.98 | % 184.19/125.98 | Applying alpha-rule on (8888) yields: % 184.19/125.98 | (8882) all_453_0_1060 = 0 % 184.19/125.98 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.19/125.98 | (532) all_226_1_115 = all_0_9_9 % 184.19/125.98 | % 184.19/125.98 | From (532) and (302) follows: % 184.19/125.98 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.19/125.98 | (233) all_110_0_83 = 0 % 184.19/125.98 | % 184.19/125.98 | Equations (233) can reduce 209 to: % 184.19/125.98 | (173) $false % 184.19/125.98 | % 184.19/125.98 |-The branch is then unsatisfiable % 184.19/125.98 |-Branch two: % 184.19/125.98 | (8773) all_434_0_1041 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 184.19/125.98 | % 184.19/125.98 | Applying alpha-rule on (8773) yields: % 184.19/125.98 | (8767) all_434_0_1041 = 0 % 184.19/125.98 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 184.19/125.98 | (412) all_135_1_90 = all_0_9_9 % 184.19/125.98 | % 184.19/125.98 | From (412) and (232) follows: % 184.19/125.98 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.19/125.98 | (233) all_110_0_83 = 0 % 184.19/125.98 | % 184.19/125.98 | Equations (233) can reduce 209 to: % 184.19/125.98 | (173) $false % 184.19/125.98 | % 184.19/125.98 |-The branch is then unsatisfiable % 184.19/125.98 |-Branch two: % 184.19/125.98 | (8595) all_378_0_1021 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 184.19/125.98 | % 184.19/125.98 | Applying alpha-rule on (8595) yields: % 184.19/125.98 | (8493) all_378_0_1021 = 0 % 184.19/125.98 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 184.19/125.98 | (1890) all_205_2_109 = all_0_5_5 % 184.19/125.98 | % 184.19/125.98 | From (1890) and (315) follows: % 184.19/125.98 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.19/125.98 | (212) all_85_0_75 = 0 % 184.19/125.98 | % 184.19/125.98 | Equations (212) can reduce 181 to: % 184.19/125.98 | (173) $false % 184.19/125.98 | % 184.19/125.98 |-The branch is then unsatisfiable % 184.19/125.98 |-Branch two: % 184.19/125.98 | (8602) all_370_0_1020 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 184.19/125.98 | % 184.19/125.98 | Applying alpha-rule on (8602) yields: % 184.19/125.98 | (8488) all_370_0_1020 = 0 % 184.19/125.98 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 184.19/125.98 | (582) all_226_1_115 = all_0_5_5 % 184.19/125.98 | % 184.19/125.98 | From (582) and (308) follows: % 184.19/125.98 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.19/125.98 | (212) all_85_0_75 = 0 % 184.19/125.98 | % 184.19/125.98 | Equations (212) can reduce 181 to: % 184.19/125.98 | (173) $false % 184.19/125.98 | % 184.19/125.98 |-The branch is then unsatisfiable % 184.19/125.98 |-Branch two: % 184.19/125.98 | (7992) all_343_0_925 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 184.19/125.98 | % 184.19/125.98 | Applying alpha-rule on (7992) yields: % 184.19/125.98 | (7554) all_343_0_925 = 0 % 184.19/125.98 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 184.19/125.98 | (589) all_135_1_90 = all_0_5_5 % 184.19/125.98 | % 184.19/125.98 | From (589) and (241) follows: % 184.19/125.98 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.19/125.98 | (212) all_85_0_75 = 0 % 184.19/125.98 | % 184.19/125.98 | Equations (212) can reduce 181 to: % 184.19/125.98 | (173) $false % 184.19/125.98 | % 184.19/125.98 |-The branch is then unsatisfiable % 184.19/125.98 |-Branch two: % 184.19/125.98 | (2952) all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 184.19/125.98 | % 184.19/125.98 | Applying alpha-rule on (2952) yields: % 184.19/125.98 | (1650) all_318_0_130 = 0 % 184.19/125.98 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 184.19/125.98 | (2955) all_205_2_109 = all_0_8_8 % 184.19/125.98 | % 184.19/125.98 | From (2955) and (296) follows: % 184.19/125.98 | (4276) mem(all_0_8_8, all_129_1_88) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (58) with all_0_8_8, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_8_8, all_129_1_88) = all_181_0_102, mem(all_0_8_8, all_129_1_88) = 0, yields: % 184.19/125.98 | (288) all_181_0_102 = 0 % 184.19/125.98 | % 184.19/125.98 | Equations (288) can reduce 258 to: % 184.19/125.98 | (173) $false % 184.19/125.98 | % 184.19/125.98 |-The branch is then unsatisfiable % 184.19/125.98 |-Branch two: % 184.19/125.98 | (1644) all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 184.19/125.98 | % 184.19/125.98 | Applying alpha-rule on (1644) yields: % 184.19/125.98 | (342) all_311_0_129 = 0 % 184.19/125.98 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 184.19/125.98 | (1647) all_226_1_115 = all_0_8_8 % 184.19/125.98 | % 184.19/125.98 | From (1647) and (287) follows: % 184.19/125.98 | (4276) mem(all_0_8_8, all_129_1_88) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (58) with all_0_8_8, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_8_8, all_129_1_88) = all_181_0_102, mem(all_0_8_8, all_129_1_88) = 0, yields: % 184.19/125.98 | (288) all_181_0_102 = 0 % 184.19/125.98 | % 184.19/125.98 | Equations (288) can reduce 258 to: % 184.19/125.98 | (173) $false % 184.19/125.98 | % 184.19/125.98 |-The branch is then unsatisfiable % 184.19/125.98 |-Branch two: % 184.19/125.98 | (4286) all_291_0_125 = 0 & mem(all_110_1_84, all_0_4_4) = 0 % 184.19/125.98 | % 184.19/125.98 | Applying alpha-rule on (4286) yields: % 184.19/125.98 | (332) all_291_0_125 = 0 % 184.19/125.98 | (4288) mem(all_110_1_84, all_0_4_4) = 0 % 184.19/125.98 | % 184.19/125.98 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_110_1_84 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_110_1_84, all_0_4_4) = 0, yields: % 184.19/125.98 | (4289) all_110_1_84 = all_0_5_5 % 184.19/125.98 | % 184.19/125.98 | From (4289) and (211) follows: % 184.19/125.99 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.19/125.99 | (212) all_85_0_75 = 0 % 184.19/125.99 | % 184.19/125.99 | Equations (212) can reduce 181 to: % 184.19/125.99 | (173) $false % 184.19/125.99 | % 184.19/125.99 |-The branch is then unsatisfiable % 184.19/125.99 |-Branch two: % 184.19/125.99 | (5721) all_255_0_119 = 0 & mem(all_135_1_90, all_0_7_7) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (5721) yields: % 184.19/125.99 | (327) all_255_0_119 = 0 % 184.19/125.99 | (5723) mem(all_135_1_90, all_0_7_7) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_135_1_90 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_135_1_90, all_0_7_7) = 0, yields: % 184.19/125.99 | (5724) all_135_1_90 = all_0_8_8 % 184.19/125.99 | % 184.19/125.99 | From (5724) and (231) follows: % 184.19/125.99 | (5725) mem(all_0_8_8, all_99_1_80) = all_135_0_89 % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (312), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (331) all_291_0_125 = 0 & mem(all_110_1_84, all_0_2_2) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (331) yields: % 184.19/125.99 | (332) all_291_0_125 = 0 % 184.19/125.99 | (333) mem(all_110_1_84, all_0_2_2) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_110_1_84, all_0_2_2) = 0, yields: % 184.19/125.99 | (334) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_3_3) = 0)) % 184.19/125.99 | % 184.19/125.99 | Instantiating (334) with all_354_0_1074 yields: % 184.19/125.99 | (8953) (all_354_0_1074 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (all_354_0_1074 = 0 & mem(all_110_1_84, all_0_3_3) = 0) % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (313), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (336) all_292_0_126 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (336) yields: % 184.19/125.99 | (337) all_292_0_126 = 0 % 184.19/125.99 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 184.19/125.99 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 184.19/125.99 | % 184.19/125.99 | Instantiating (339) with all_362_0_1075 yields: % 184.19/125.99 | (8958) (all_362_0_1075 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_362_0_1075 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (318), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (341) all_311_0_129 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (341) yields: % 184.19/125.99 | (342) all_311_0_129 = 0 % 184.19/125.99 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 184.19/125.99 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 184.19/125.99 | % 184.19/125.99 | Instantiating (344) with all_370_0_1076 yields: % 184.19/125.99 | (8963) (all_370_0_1076 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_370_0_1076 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (320), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (1649) all_318_0_130 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (1649) yields: % 184.19/125.99 | (1650) all_318_0_130 = 0 % 184.19/125.99 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 184.19/125.99 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 184.19/125.99 | % 184.19/125.99 | Instantiating (1652) with all_378_0_1077 yields: % 184.19/125.99 | (8968) (all_378_0_1077 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_378_0_1077 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (8953), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (8969) all_354_0_1074 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (8969) yields: % 184.19/125.99 | (8970) all_354_0_1074 = 0 % 184.19/125.99 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 184.19/125.99 | (359) all_110_1_84 = all_0_3_3 % 184.19/125.99 | % 184.19/125.99 | From (359) and (210) follows: % 184.19/125.99 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (8958), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (8974) all_362_0_1075 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (8974) yields: % 184.19/125.99 | (8975) all_362_0_1075 = 0 % 184.19/125.99 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 184.19/125.99 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 184.19/125.99 | % 184.19/125.99 | Instantiating (371) with all_405_0_1079 yields: % 184.19/125.99 | (8978) (all_405_0_1079 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_405_0_1079 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (8963), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (8979) all_370_0_1076 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (8979) yields: % 184.19/125.99 | (8980) all_370_0_1076 = 0 % 184.19/125.99 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 184.19/125.99 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 184.19/125.99 | % 184.19/125.99 | Instantiating (479) with all_413_0_1080 yields: % 184.19/125.99 | (8983) (all_413_0_1080 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_413_0_1080 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (8968), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (8984) all_378_0_1077 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (8984) yields: % 184.19/125.99 | (8985) all_378_0_1077 = 0 % 184.19/125.99 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 184.19/125.99 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 184.19/125.99 | % 184.19/125.99 | Instantiating (1787) with all_421_0_1081 yields: % 184.19/125.99 | (8988) (all_421_0_1081 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_1081 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (8978), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (8989) all_405_0_1079 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (8989) yields: % 184.19/125.99 | (8990) all_405_0_1079 = 0 % 184.19/125.99 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 184.19/125.99 | (393) all_181_1_103 = all_0_3_3 % 184.19/125.99 | % 184.19/125.99 | From (393) and (269) follows: % 184.19/125.99 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 184.19/125.99 | (233) all_110_0_83 = 0 % 184.19/125.99 | % 184.19/125.99 | Equations (233) can reduce 209 to: % 184.19/125.99 | (173) $false % 184.19/125.99 | % 184.19/125.99 |-The branch is then unsatisfiable % 184.19/125.99 |-Branch two: % 184.19/125.99 | (8996) all_405_0_1079 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (8996) yields: % 184.19/125.99 | (8990) all_405_0_1079 = 0 % 184.19/125.99 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 184.19/125.99 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 184.19/125.99 | % 184.19/125.99 | Instantiating (400) with all_437_0_1083 yields: % 184.19/125.99 | (9000) (all_437_0_1083 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_437_0_1083 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 184.19/125.99 | % 184.19/125.99 +-Applying beta-rule and splitting (8983), into two cases. % 184.19/125.99 |-Branch one: % 184.19/125.99 | (9001) all_413_0_1080 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.99 | % 184.19/125.99 | Applying alpha-rule on (9001) yields: % 184.19/125.99 | (9002) all_413_0_1080 = 0 % 184.19/125.99 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.19/125.99 | (501) all_226_1_115 = all_0_3_3 % 184.19/125.99 | % 184.19/125.99 | From (501) and (302) follows: % 184.19/125.99 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 184.19/125.99 | % 184.19/125.99 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 184.19/125.99 | (233) all_110_0_83 = 0 % 184.19/125.99 | % 184.19/125.99 | Equations (233) can reduce 209 to: % 184.19/125.99 | (173) $false % 184.19/125.99 | % 184.19/125.99 |-The branch is then unsatisfiable % 184.19/125.99 |-Branch two: % 184.19/125.99 | (9008) all_413_0_1080 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.19/125.99 | % 184.19/126.00 | Applying alpha-rule on (9008) yields: % 184.19/126.00 | (9002) all_413_0_1080 = 0 % 184.19/126.00 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.19/126.00 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.19/126.00 | % 184.19/126.00 | Instantiating (508) with all_445_0_1084 yields: % 184.19/126.00 | (9012) (all_445_0_1084 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1084 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.19/126.00 | % 184.19/126.00 +-Applying beta-rule and splitting (8988), into two cases. % 184.19/126.00 |-Branch one: % 184.19/126.00 | (9013) all_421_0_1081 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9013) yields: % 184.19/126.00 | (9014) all_421_0_1081 = 0 % 184.19/126.00 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.19/126.00 | (1809) all_205_2_109 = all_0_3_3 % 184.19/126.00 | % 184.19/126.00 | From (1809) and (309) follows: % 184.19/126.00 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 184.19/126.00 | (233) all_110_0_83 = 0 % 184.19/126.00 | % 184.19/126.00 | Equations (233) can reduce 209 to: % 184.19/126.00 | (173) $false % 184.19/126.00 | % 184.19/126.00 |-The branch is then unsatisfiable % 184.19/126.00 |-Branch two: % 184.19/126.00 | (9020) all_421_0_1081 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9020) yields: % 184.19/126.00 | (9014) all_421_0_1081 = 0 % 184.19/126.00 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.19/126.00 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.19/126.00 | % 184.19/126.00 | Instantiating (1816) with all_453_0_1085 yields: % 184.19/126.00 | (9024) (all_453_0_1085 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1085 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.19/126.00 | % 184.19/126.00 +-Applying beta-rule and splitting (9000), into two cases. % 184.19/126.00 |-Branch one: % 184.19/126.00 | (9025) all_437_0_1083 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9025) yields: % 184.19/126.00 | (9026) all_437_0_1083 = 0 % 184.19/126.00 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.19/126.00 | (417) all_181_1_103 = all_0_6_6 % 184.19/126.00 | % 184.19/126.00 | From (417) and (259) follows: % 184.19/126.00 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 184.19/126.00 | % 184.19/126.00 +-Applying beta-rule and splitting (9012), into two cases. % 184.19/126.00 |-Branch one: % 184.19/126.00 | (9030) all_445_0_1084 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9030) yields: % 184.19/126.00 | (9031) all_445_0_1084 = 0 % 184.19/126.00 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.19/126.00 | (525) all_226_1_115 = all_0_6_6 % 184.19/126.00 | % 184.19/126.00 | From (525) and (287) follows: % 184.19/126.00 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 184.19/126.00 | (288) all_181_0_102 = 0 % 184.19/126.00 | % 184.19/126.00 | Equations (288) can reduce 258 to: % 184.19/126.00 | (173) $false % 184.19/126.00 | % 184.19/126.00 |-The branch is then unsatisfiable % 184.19/126.00 |-Branch two: % 184.19/126.00 | (9037) all_445_0_1084 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9037) yields: % 184.19/126.00 | (9031) all_445_0_1084 = 0 % 184.19/126.00 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.19/126.00 | (532) all_226_1_115 = all_0_9_9 % 184.19/126.00 | % 184.19/126.00 | From (532) and (286) follows: % 184.19/126.00 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 184.19/126.00 | % 184.19/126.00 +-Applying beta-rule and splitting (9024), into two cases. % 184.19/126.00 |-Branch one: % 184.19/126.00 | (9042) all_453_0_1085 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9042) yields: % 184.19/126.00 | (9043) all_453_0_1085 = 0 % 184.19/126.00 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.19/126.00 | (1833) all_205_2_109 = all_0_6_6 % 184.19/126.00 | % 184.19/126.00 | From (1833) and (296) follows: % 184.19/126.00 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 184.19/126.00 | (288) all_181_0_102 = 0 % 184.19/126.00 | % 184.19/126.00 | Equations (288) can reduce 258 to: % 184.19/126.00 | (173) $false % 184.19/126.00 | % 184.19/126.00 |-The branch is then unsatisfiable % 184.19/126.00 |-Branch two: % 184.19/126.00 | (9049) all_453_0_1085 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9049) yields: % 184.19/126.00 | (9043) all_453_0_1085 = 0 % 184.19/126.00 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.19/126.00 | (1840) all_205_2_109 = all_0_9_9 % 184.19/126.00 | % 184.19/126.00 | From (1840) and (275) follows: % 184.19/126.00 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 184.19/126.00 | (2957) all_226_0_114 = 0 % 184.19/126.00 | % 184.19/126.00 | Equations (2957) can reduce 285 to: % 184.19/126.00 | (173) $false % 184.19/126.00 | % 184.19/126.00 |-The branch is then unsatisfiable % 184.19/126.00 |-Branch two: % 184.19/126.00 | (9056) all_437_0_1083 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9056) yields: % 184.19/126.00 | (9026) all_437_0_1083 = 0 % 184.19/126.00 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.19/126.00 | (424) all_181_1_103 = all_0_9_9 % 184.19/126.00 | % 184.19/126.00 | From (424) and (259) follows: % 184.19/126.00 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 184.19/126.00 | % 184.19/126.00 +-Applying beta-rule and splitting (9012), into two cases. % 184.19/126.00 |-Branch one: % 184.19/126.00 | (9030) all_445_0_1084 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9030) yields: % 184.19/126.00 | (9031) all_445_0_1084 = 0 % 184.19/126.00 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.19/126.00 | (525) all_226_1_115 = all_0_6_6 % 184.19/126.00 | % 184.19/126.00 | From (525) and (286) follows: % 184.19/126.00 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 184.19/126.00 | % 184.19/126.00 +-Applying beta-rule and splitting (9024), into two cases. % 184.19/126.00 |-Branch one: % 184.19/126.00 | (9042) all_453_0_1085 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Applying alpha-rule on (9042) yields: % 184.19/126.00 | (9043) all_453_0_1085 = 0 % 184.19/126.00 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.19/126.00 | % 184.19/126.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.19/126.00 | (1833) all_205_2_109 = all_0_6_6 % 184.19/126.00 | % 184.19/126.00 | From (1833) and (275) follows: % 184.19/126.01 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 184.19/126.01 | (2957) all_226_0_114 = 0 % 184.19/126.01 | % 184.19/126.01 | Equations (2957) can reduce 285 to: % 184.19/126.01 | (173) $false % 184.19/126.01 | % 184.19/126.01 |-The branch is then unsatisfiable % 184.19/126.01 |-Branch two: % 184.19/126.01 | (9049) all_453_0_1085 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.19/126.01 | % 184.19/126.01 | Applying alpha-rule on (9049) yields: % 184.19/126.01 | (9043) all_453_0_1085 = 0 % 184.19/126.01 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.19/126.01 | (1840) all_205_2_109 = all_0_9_9 % 184.19/126.01 | % 184.19/126.01 | From (1840) and (296) follows: % 184.19/126.01 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 184.19/126.01 | (288) all_181_0_102 = 0 % 184.19/126.01 | % 184.19/126.01 | Equations (288) can reduce 258 to: % 184.19/126.01 | (173) $false % 184.19/126.01 | % 184.19/126.01 |-The branch is then unsatisfiable % 184.19/126.01 |-Branch two: % 184.19/126.01 | (9037) all_445_0_1084 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.19/126.01 | % 184.19/126.01 | Applying alpha-rule on (9037) yields: % 184.19/126.01 | (9031) all_445_0_1084 = 0 % 184.19/126.01 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.19/126.01 | (532) all_226_1_115 = all_0_9_9 % 184.19/126.01 | % 184.19/126.01 | From (532) and (287) follows: % 184.19/126.01 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 184.19/126.01 | (288) all_181_0_102 = 0 % 184.19/126.01 | % 184.19/126.01 | Equations (288) can reduce 258 to: % 184.19/126.01 | (173) $false % 184.19/126.01 | % 184.19/126.01 |-The branch is then unsatisfiable % 184.19/126.01 |-Branch two: % 184.19/126.01 | (9087) all_378_0_1077 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 184.19/126.01 | % 184.19/126.01 | Applying alpha-rule on (9087) yields: % 184.19/126.01 | (8985) all_378_0_1077 = 0 % 184.19/126.01 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 184.19/126.01 | (1890) all_205_2_109 = all_0_5_5 % 184.19/126.01 | % 184.19/126.01 | From (1890) and (315) follows: % 184.19/126.01 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.19/126.01 | (212) all_85_0_75 = 0 % 184.19/126.01 | % 184.19/126.01 | Equations (212) can reduce 181 to: % 184.19/126.01 | (173) $false % 184.19/126.01 | % 184.19/126.01 |-The branch is then unsatisfiable % 184.19/126.01 |-Branch two: % 184.19/126.01 | (9094) all_370_0_1076 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 184.19/126.01 | % 184.19/126.01 | Applying alpha-rule on (9094) yields: % 184.19/126.01 | (8980) all_370_0_1076 = 0 % 184.19/126.01 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 184.19/126.01 | (582) all_226_1_115 = all_0_5_5 % 184.19/126.01 | % 184.19/126.01 | From (582) and (308) follows: % 184.19/126.01 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.19/126.01 | (212) all_85_0_75 = 0 % 184.19/126.01 | % 184.19/126.01 | Equations (212) can reduce 181 to: % 184.19/126.01 | (173) $false % 184.19/126.01 | % 184.19/126.01 |-The branch is then unsatisfiable % 184.19/126.01 |-Branch two: % 184.19/126.01 | (9101) all_362_0_1075 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 184.19/126.01 | % 184.19/126.01 | Applying alpha-rule on (9101) yields: % 184.19/126.01 | (8975) all_362_0_1075 = 0 % 184.19/126.01 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 184.19/126.01 | (474) all_181_1_103 = all_0_5_5 % 184.19/126.01 | % 184.19/126.01 | From (474) and (297) follows: % 184.19/126.01 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.19/126.01 | (212) all_85_0_75 = 0 % 184.19/126.01 | % 184.19/126.01 | Equations (212) can reduce 181 to: % 184.19/126.01 | (173) $false % 184.19/126.01 | % 184.19/126.01 |-The branch is then unsatisfiable % 184.19/126.01 |-Branch two: % 184.19/126.01 | (9108) all_354_0_1074 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 184.19/126.01 | % 184.19/126.01 | Applying alpha-rule on (9108) yields: % 184.19/126.01 | (8970) all_354_0_1074 = 0 % 184.19/126.01 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 184.19/126.01 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 184.19/126.01 | % 184.19/126.01 | Instantiating (366) with all_394_0_1087 yields: % 184.19/126.01 | (9112) (all_394_0_1087 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_394_0_1087 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 184.19/126.01 | % 184.19/126.01 +-Applying beta-rule and splitting (8958), into two cases. % 184.19/126.01 |-Branch one: % 184.19/126.01 | (8974) all_362_0_1075 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 184.19/126.01 | % 184.19/126.01 | Applying alpha-rule on (8974) yields: % 184.19/126.01 | (8975) all_362_0_1075 = 0 % 184.19/126.01 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 184.19/126.01 | % 184.19/126.01 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 184.19/126.01 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 184.19/126.01 | % 184.19/126.01 | Instantiating (371) with all_402_0_1088 yields: % 184.19/126.01 | (9117) (all_402_0_1088 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_402_0_1088 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 184.19/126.01 | % 184.19/126.01 +-Applying beta-rule and splitting (8963), into two cases. % 184.19/126.01 |-Branch one: % 184.19/126.01 | (8979) all_370_0_1076 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 184.19/126.01 | % 184.19/126.01 | Applying alpha-rule on (8979) yields: % 184.19/126.01 | (8980) all_370_0_1076 = 0 % 184.19/126.01 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 184.19/126.02 | % 184.19/126.02 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 184.19/126.02 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 184.19/126.02 | % 184.19/126.02 | Instantiating (479) with all_410_0_1089 yields: % 184.19/126.02 | (9122) (all_410_0_1089 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_1089 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 184.19/126.02 | % 184.19/126.02 +-Applying beta-rule and splitting (8968), into two cases. % 184.19/126.02 |-Branch one: % 184.19/126.02 | (8984) all_378_0_1077 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 184.19/126.02 | % 184.19/126.02 | Applying alpha-rule on (8984) yields: % 184.19/126.02 | (8985) all_378_0_1077 = 0 % 184.19/126.02 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 184.19/126.02 | % 184.19/126.02 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 184.54/126.02 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 184.54/126.02 | % 184.54/126.02 | Instantiating (1787) with all_418_0_1090 yields: % 184.54/126.02 | (9127) (all_418_0_1090 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_1090 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 184.54/126.02 | % 184.54/126.02 +-Applying beta-rule and splitting (9112), into two cases. % 184.54/126.02 |-Branch one: % 184.54/126.02 | (9128) all_394_0_1087 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9128) yields: % 184.54/126.02 | (9129) all_394_0_1087 = 0 % 184.54/126.02 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 184.54/126.02 | (388) all_110_1_84 = all_0_6_6 % 184.54/126.02 | % 184.54/126.02 | From (388) and (210) follows: % 184.54/126.02 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 184.54/126.02 | % 184.54/126.02 +-Applying beta-rule and splitting (9117), into two cases. % 184.54/126.02 |-Branch one: % 184.54/126.02 | (9133) all_402_0_1088 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9133) yields: % 184.54/126.02 | (9134) all_402_0_1088 = 0 % 184.54/126.02 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 184.54/126.02 | (393) all_181_1_103 = all_0_3_3 % 184.54/126.02 | % 184.54/126.02 | From (393) and (259) follows: % 184.54/126.02 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 184.54/126.02 | % 184.54/126.02 +-Applying beta-rule and splitting (9122), into two cases. % 184.54/126.02 |-Branch one: % 184.54/126.02 | (9138) all_410_0_1089 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9138) yields: % 184.54/126.02 | (9139) all_410_0_1089 = 0 % 184.54/126.02 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.54/126.02 | (501) all_226_1_115 = all_0_3_3 % 184.54/126.02 | % 184.54/126.02 | From (501) and (287) follows: % 184.54/126.02 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 184.54/126.02 | (288) all_181_0_102 = 0 % 184.54/126.02 | % 184.54/126.02 | Equations (288) can reduce 258 to: % 184.54/126.02 | (173) $false % 184.54/126.02 | % 184.54/126.02 |-The branch is then unsatisfiable % 184.54/126.02 |-Branch two: % 184.54/126.02 | (9145) all_410_0_1089 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9145) yields: % 184.54/126.02 | (9139) all_410_0_1089 = 0 % 184.54/126.02 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.54/126.02 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.54/126.02 | % 184.54/126.02 | Instantiating (508) with all_456_0_1092 yields: % 184.54/126.02 | (9149) (all_456_0_1092 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1092 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.54/126.02 | % 184.54/126.02 +-Applying beta-rule and splitting (9127), into two cases. % 184.54/126.02 |-Branch one: % 184.54/126.02 | (9150) all_418_0_1090 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9150) yields: % 184.54/126.02 | (9151) all_418_0_1090 = 0 % 184.54/126.02 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.54/126.02 | (1809) all_205_2_109 = all_0_3_3 % 184.54/126.02 | % 184.54/126.02 | From (1809) and (296) follows: % 184.54/126.02 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 184.54/126.02 | (288) all_181_0_102 = 0 % 184.54/126.02 | % 184.54/126.02 | Equations (288) can reduce 258 to: % 184.54/126.02 | (173) $false % 184.54/126.02 | % 184.54/126.02 |-The branch is then unsatisfiable % 184.54/126.02 |-Branch two: % 184.54/126.02 | (9157) all_418_0_1090 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9157) yields: % 184.54/126.02 | (9151) all_418_0_1090 = 0 % 184.54/126.02 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.54/126.02 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.54/126.02 | % 184.54/126.02 | Instantiating (1816) with all_464_0_1093 yields: % 184.54/126.02 | (9161) (all_464_0_1093 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1093 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.54/126.02 | % 184.54/126.02 +-Applying beta-rule and splitting (9149), into two cases. % 184.54/126.02 |-Branch one: % 184.54/126.02 | (9162) all_456_0_1092 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9162) yields: % 184.54/126.02 | (9163) all_456_0_1092 = 0 % 184.54/126.02 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.54/126.02 | (525) all_226_1_115 = all_0_6_6 % 184.54/126.02 | % 184.54/126.02 | From (525) and (302) follows: % 184.54/126.02 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.54/126.02 | (233) all_110_0_83 = 0 % 184.54/126.02 | % 184.54/126.02 | Equations (233) can reduce 209 to: % 184.54/126.02 | (173) $false % 184.54/126.02 | % 184.54/126.02 |-The branch is then unsatisfiable % 184.54/126.02 |-Branch two: % 184.54/126.02 | (9169) all_456_0_1092 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9169) yields: % 184.54/126.02 | (9163) all_456_0_1092 = 0 % 184.54/126.02 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.54/126.02 | (532) all_226_1_115 = all_0_9_9 % 184.54/126.02 | % 184.54/126.02 | From (532) and (286) follows: % 184.54/126.02 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 184.54/126.02 | % 184.54/126.02 +-Applying beta-rule and splitting (9161), into two cases. % 184.54/126.02 |-Branch one: % 184.54/126.02 | (9174) all_464_0_1093 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9174) yields: % 184.54/126.02 | (9175) all_464_0_1093 = 0 % 184.54/126.02 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.54/126.02 | (1833) all_205_2_109 = all_0_6_6 % 184.54/126.02 | % 184.54/126.02 | From (1833) and (309) follows: % 184.54/126.02 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.54/126.02 | % 184.54/126.02 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.54/126.02 | (233) all_110_0_83 = 0 % 184.54/126.02 | % 184.54/126.02 | Equations (233) can reduce 209 to: % 184.54/126.02 | (173) $false % 184.54/126.02 | % 184.54/126.02 |-The branch is then unsatisfiable % 184.54/126.02 |-Branch two: % 184.54/126.02 | (9181) all_464_0_1093 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.54/126.02 | % 184.54/126.02 | Applying alpha-rule on (9181) yields: % 184.54/126.02 | (9175) all_464_0_1093 = 0 % 184.54/126.03 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.54/126.03 | (1840) all_205_2_109 = all_0_9_9 % 184.54/126.03 | % 184.54/126.03 | From (1840) and (275) follows: % 184.54/126.03 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 184.54/126.03 | (2957) all_226_0_114 = 0 % 184.54/126.03 | % 184.54/126.03 | Equations (2957) can reduce 285 to: % 184.54/126.03 | (173) $false % 184.54/126.03 | % 184.54/126.03 |-The branch is then unsatisfiable % 184.54/126.03 |-Branch two: % 184.54/126.03 | (9188) all_402_0_1088 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 184.54/126.03 | % 184.54/126.03 | Applying alpha-rule on (9188) yields: % 184.54/126.03 | (9134) all_402_0_1088 = 0 % 184.54/126.03 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 184.54/126.03 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 184.54/126.03 | % 184.54/126.03 | Instantiating (400) with all_445_0_1095 yields: % 184.54/126.03 | (9192) (all_445_0_1095 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_1095 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 184.54/126.03 | % 184.54/126.03 +-Applying beta-rule and splitting (9122), into two cases. % 184.54/126.03 |-Branch one: % 184.54/126.03 | (9138) all_410_0_1089 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.54/126.03 | % 184.54/126.03 | Applying alpha-rule on (9138) yields: % 184.54/126.03 | (9139) all_410_0_1089 = 0 % 184.54/126.03 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.54/126.03 | (501) all_226_1_115 = all_0_3_3 % 184.54/126.03 | % 184.54/126.03 | From (501) and (286) follows: % 184.54/126.03 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 184.54/126.03 | % 184.54/126.03 +-Applying beta-rule and splitting (9127), into two cases. % 184.54/126.03 |-Branch one: % 184.54/126.03 | (9150) all_418_0_1090 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.54/126.03 | % 184.54/126.03 | Applying alpha-rule on (9150) yields: % 184.54/126.03 | (9151) all_418_0_1090 = 0 % 184.54/126.03 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.54/126.03 | (1809) all_205_2_109 = all_0_3_3 % 184.54/126.03 | % 184.54/126.03 | From (1809) and (275) follows: % 184.54/126.03 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 184.54/126.03 | (2957) all_226_0_114 = 0 % 184.54/126.03 | % 184.54/126.03 | Equations (2957) can reduce 285 to: % 184.54/126.03 | (173) $false % 184.54/126.03 | % 184.54/126.03 |-The branch is then unsatisfiable % 184.54/126.03 |-Branch two: % 184.54/126.03 | (9157) all_418_0_1090 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.54/126.03 | % 184.54/126.03 | Applying alpha-rule on (9157) yields: % 184.54/126.03 | (9151) all_418_0_1090 = 0 % 184.54/126.03 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.54/126.03 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.54/126.03 | % 184.54/126.03 | Instantiating (1816) with all_464_0_1096 yields: % 184.54/126.03 | (9209) (all_464_0_1096 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1096 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.54/126.03 | % 184.54/126.03 +-Applying beta-rule and splitting (9192), into two cases. % 184.54/126.03 |-Branch one: % 184.54/126.03 | (9210) all_445_0_1095 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.54/126.03 | % 184.54/126.03 | Applying alpha-rule on (9210) yields: % 184.54/126.03 | (9211) all_445_0_1095 = 0 % 184.54/126.03 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.54/126.03 | (417) all_181_1_103 = all_0_6_6 % 184.54/126.03 | % 184.54/126.03 | From (417) and (269) follows: % 184.54/126.03 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.54/126.03 | (233) all_110_0_83 = 0 % 184.54/126.03 | % 184.54/126.03 | Equations (233) can reduce 209 to: % 184.54/126.03 | (173) $false % 184.54/126.03 | % 184.54/126.03 |-The branch is then unsatisfiable % 184.54/126.03 |-Branch two: % 184.54/126.03 | (9217) all_445_0_1095 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.54/126.03 | % 184.54/126.03 | Applying alpha-rule on (9217) yields: % 184.54/126.03 | (9211) all_445_0_1095 = 0 % 184.54/126.03 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.54/126.03 | (424) all_181_1_103 = all_0_9_9 % 184.54/126.03 | % 184.54/126.03 | From (424) and (259) follows: % 184.54/126.03 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 184.54/126.03 | % 184.54/126.03 +-Applying beta-rule and splitting (9209), into two cases. % 184.54/126.03 |-Branch one: % 184.54/126.03 | (9222) all_464_0_1096 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.54/126.03 | % 184.54/126.03 | Applying alpha-rule on (9222) yields: % 184.54/126.03 | (9223) all_464_0_1096 = 0 % 184.54/126.03 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.54/126.03 | (1833) all_205_2_109 = all_0_6_6 % 184.54/126.03 | % 184.54/126.03 | From (1833) and (309) follows: % 184.54/126.03 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.54/126.03 | (233) all_110_0_83 = 0 % 184.54/126.03 | % 184.54/126.03 | Equations (233) can reduce 209 to: % 184.54/126.03 | (173) $false % 184.54/126.03 | % 184.54/126.03 |-The branch is then unsatisfiable % 184.54/126.03 |-Branch two: % 184.54/126.03 | (9229) all_464_0_1096 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.54/126.03 | % 184.54/126.03 | Applying alpha-rule on (9229) yields: % 184.54/126.03 | (9223) all_464_0_1096 = 0 % 184.54/126.03 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.54/126.03 | (1840) all_205_2_109 = all_0_9_9 % 184.54/126.03 | % 184.54/126.03 | From (1840) and (296) follows: % 184.54/126.03 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 184.54/126.03 | % 184.54/126.03 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 184.54/126.03 | (288) all_181_0_102 = 0 % 184.54/126.03 | % 184.54/126.03 | Equations (288) can reduce 258 to: % 184.54/126.03 | (173) $false % 184.54/126.03 | % 184.54/126.03 |-The branch is then unsatisfiable % 184.54/126.03 |-Branch two: % 184.54/126.03 | (9145) all_410_0_1089 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.54/126.03 | % 184.54/126.03 | Applying alpha-rule on (9145) yields: % 184.54/126.04 | (9139) all_410_0_1089 = 0 % 184.54/126.04 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.54/126.04 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.54/126.04 | % 184.54/126.04 | Instantiating (508) with all_453_0_1098 yields: % 184.54/126.04 | (9240) (all_453_0_1098 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1098 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.54/126.04 | % 184.54/126.04 +-Applying beta-rule and splitting (9192), into two cases. % 184.54/126.04 |-Branch one: % 184.54/126.04 | (9210) all_445_0_1095 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9210) yields: % 184.54/126.04 | (9211) all_445_0_1095 = 0 % 184.54/126.04 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.54/126.04 | (417) all_181_1_103 = all_0_6_6 % 184.54/126.04 | % 184.54/126.04 | From (417) and (269) follows: % 184.54/126.04 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.54/126.04 | (233) all_110_0_83 = 0 % 184.54/126.04 | % 184.54/126.04 | Equations (233) can reduce 209 to: % 184.54/126.04 | (173) $false % 184.54/126.04 | % 184.54/126.04 |-The branch is then unsatisfiable % 184.54/126.04 |-Branch two: % 184.54/126.04 | (9217) all_445_0_1095 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9217) yields: % 184.54/126.04 | (9211) all_445_0_1095 = 0 % 184.54/126.04 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.54/126.04 | (424) all_181_1_103 = all_0_9_9 % 184.54/126.04 | % 184.54/126.04 | From (424) and (259) follows: % 184.54/126.04 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 184.54/126.04 | % 184.54/126.04 +-Applying beta-rule and splitting (9240), into two cases. % 184.54/126.04 |-Branch one: % 184.54/126.04 | (9253) all_453_0_1098 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9253) yields: % 184.54/126.04 | (9254) all_453_0_1098 = 0 % 184.54/126.04 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.54/126.04 | (525) all_226_1_115 = all_0_6_6 % 184.54/126.04 | % 184.54/126.04 | From (525) and (302) follows: % 184.54/126.04 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 184.54/126.04 | (233) all_110_0_83 = 0 % 184.54/126.04 | % 184.54/126.04 | Equations (233) can reduce 209 to: % 184.54/126.04 | (173) $false % 184.54/126.04 | % 184.54/126.04 |-The branch is then unsatisfiable % 184.54/126.04 |-Branch two: % 184.54/126.04 | (9260) all_453_0_1098 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9260) yields: % 184.54/126.04 | (9254) all_453_0_1098 = 0 % 184.54/126.04 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.54/126.04 | (532) all_226_1_115 = all_0_9_9 % 184.54/126.04 | % 184.54/126.04 | From (532) and (287) follows: % 184.54/126.04 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 184.54/126.04 | (288) all_181_0_102 = 0 % 184.54/126.04 | % 184.54/126.04 | Equations (288) can reduce 258 to: % 184.54/126.04 | (173) $false % 184.54/126.04 | % 184.54/126.04 |-The branch is then unsatisfiable % 184.54/126.04 |-Branch two: % 184.54/126.04 | (9267) all_394_0_1087 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9267) yields: % 184.54/126.04 | (9129) all_394_0_1087 = 0 % 184.54/126.04 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 184.54/126.04 | (431) all_110_1_84 = all_0_9_9 % 184.54/126.04 | % 184.54/126.04 | From (431) and (210) follows: % 184.54/126.04 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 184.54/126.04 | % 184.54/126.04 +-Applying beta-rule and splitting (9117), into two cases. % 184.54/126.04 |-Branch one: % 184.54/126.04 | (9133) all_402_0_1088 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9133) yields: % 184.54/126.04 | (9134) all_402_0_1088 = 0 % 184.54/126.04 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 184.54/126.04 | (393) all_181_1_103 = all_0_3_3 % 184.54/126.04 | % 184.54/126.04 | From (393) and (259) follows: % 184.54/126.04 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 184.54/126.04 | % 184.54/126.04 +-Applying beta-rule and splitting (9122), into two cases. % 184.54/126.04 |-Branch one: % 184.54/126.04 | (9138) all_410_0_1089 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9138) yields: % 184.54/126.04 | (9139) all_410_0_1089 = 0 % 184.54/126.04 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.54/126.04 | (501) all_226_1_115 = all_0_3_3 % 184.54/126.04 | % 184.54/126.04 | From (501) and (287) follows: % 184.54/126.04 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 184.54/126.04 | (288) all_181_0_102 = 0 % 184.54/126.04 | % 184.54/126.04 | Equations (288) can reduce 258 to: % 184.54/126.04 | (173) $false % 184.54/126.04 | % 184.54/126.04 |-The branch is then unsatisfiable % 184.54/126.04 |-Branch two: % 184.54/126.04 | (9145) all_410_0_1089 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9145) yields: % 184.54/126.04 | (9139) all_410_0_1089 = 0 % 184.54/126.04 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.54/126.04 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.54/126.04 | % 184.54/126.04 | Instantiating (508) with all_456_0_1112 yields: % 184.54/126.04 | (9288) (all_456_0_1112 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1112 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.54/126.04 | % 184.54/126.04 +-Applying beta-rule and splitting (9127), into two cases. % 184.54/126.04 |-Branch one: % 184.54/126.04 | (9150) all_418_0_1090 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9150) yields: % 184.54/126.04 | (9151) all_418_0_1090 = 0 % 184.54/126.04 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.54/126.04 | (1809) all_205_2_109 = all_0_3_3 % 184.54/126.04 | % 184.54/126.04 | From (1809) and (296) follows: % 184.54/126.04 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 184.54/126.04 | (288) all_181_0_102 = 0 % 184.54/126.04 | % 184.54/126.04 | Equations (288) can reduce 258 to: % 184.54/126.04 | (173) $false % 184.54/126.04 | % 184.54/126.04 |-The branch is then unsatisfiable % 184.54/126.04 |-Branch two: % 184.54/126.04 | (9157) all_418_0_1090 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.54/126.04 | % 184.54/126.04 | Applying alpha-rule on (9157) yields: % 184.54/126.04 | (9151) all_418_0_1090 = 0 % 184.54/126.04 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.54/126.04 | % 184.54/126.04 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.54/126.04 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.54/126.04 | % 184.54/126.04 | Instantiating (1816) with all_464_0_1113 yields: % 184.54/126.05 | (9300) (all_464_0_1113 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1113 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.54/126.05 | % 184.54/126.05 +-Applying beta-rule and splitting (9288), into two cases. % 184.54/126.05 |-Branch one: % 184.54/126.05 | (9301) all_456_0_1112 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9301) yields: % 184.54/126.05 | (9302) all_456_0_1112 = 0 % 184.54/126.05 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.54/126.05 | (525) all_226_1_115 = all_0_6_6 % 184.54/126.05 | % 184.54/126.05 | From (525) and (286) follows: % 184.54/126.05 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 184.54/126.05 | % 184.54/126.05 +-Applying beta-rule and splitting (9300), into two cases. % 184.54/126.05 |-Branch one: % 184.54/126.05 | (9306) all_464_0_1113 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9306) yields: % 184.54/126.05 | (9307) all_464_0_1113 = 0 % 184.54/126.05 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.54/126.05 | (1833) all_205_2_109 = all_0_6_6 % 184.54/126.05 | % 184.54/126.05 | From (1833) and (275) follows: % 184.54/126.05 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 184.54/126.05 | (2957) all_226_0_114 = 0 % 184.54/126.05 | % 184.54/126.05 | Equations (2957) can reduce 285 to: % 184.54/126.05 | (173) $false % 184.54/126.05 | % 184.54/126.05 |-The branch is then unsatisfiable % 184.54/126.05 |-Branch two: % 184.54/126.05 | (9313) all_464_0_1113 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9313) yields: % 184.54/126.05 | (9307) all_464_0_1113 = 0 % 184.54/126.05 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.54/126.05 | (1840) all_205_2_109 = all_0_9_9 % 184.54/126.05 | % 184.54/126.05 | From (1840) and (309) follows: % 184.54/126.05 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.54/126.05 | (233) all_110_0_83 = 0 % 184.54/126.05 | % 184.54/126.05 | Equations (233) can reduce 209 to: % 184.54/126.05 | (173) $false % 184.54/126.05 | % 184.54/126.05 |-The branch is then unsatisfiable % 184.54/126.05 |-Branch two: % 184.54/126.05 | (9320) all_456_0_1112 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9320) yields: % 184.54/126.05 | (9302) all_456_0_1112 = 0 % 184.54/126.05 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.54/126.05 | (532) all_226_1_115 = all_0_9_9 % 184.54/126.05 | % 184.54/126.05 | From (532) and (302) follows: % 184.54/126.05 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.54/126.05 | (233) all_110_0_83 = 0 % 184.54/126.05 | % 184.54/126.05 | Equations (233) can reduce 209 to: % 184.54/126.05 | (173) $false % 184.54/126.05 | % 184.54/126.05 |-The branch is then unsatisfiable % 184.54/126.05 |-Branch two: % 184.54/126.05 | (9188) all_402_0_1088 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9188) yields: % 184.54/126.05 | (9134) all_402_0_1088 = 0 % 184.54/126.05 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 184.54/126.05 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 184.54/126.05 | % 184.54/126.05 | Instantiating (400) with all_445_0_1115 yields: % 184.54/126.05 | (9331) (all_445_0_1115 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_1115 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 184.54/126.05 | % 184.54/126.05 +-Applying beta-rule and splitting (9122), into two cases. % 184.54/126.05 |-Branch one: % 184.54/126.05 | (9138) all_410_0_1089 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9138) yields: % 184.54/126.05 | (9139) all_410_0_1089 = 0 % 184.54/126.05 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.54/126.05 | (501) all_226_1_115 = all_0_3_3 % 184.54/126.05 | % 184.54/126.05 | From (501) and (286) follows: % 184.54/126.05 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 184.54/126.05 | % 184.54/126.05 +-Applying beta-rule and splitting (9127), into two cases. % 184.54/126.05 |-Branch one: % 184.54/126.05 | (9150) all_418_0_1090 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9150) yields: % 184.54/126.05 | (9151) all_418_0_1090 = 0 % 184.54/126.05 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.54/126.05 | (1809) all_205_2_109 = all_0_3_3 % 184.54/126.05 | % 184.54/126.05 | From (1809) and (275) follows: % 184.54/126.05 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 184.54/126.05 | (2957) all_226_0_114 = 0 % 184.54/126.05 | % 184.54/126.05 | Equations (2957) can reduce 285 to: % 184.54/126.05 | (173) $false % 184.54/126.05 | % 184.54/126.05 |-The branch is then unsatisfiable % 184.54/126.05 |-Branch two: % 184.54/126.05 | (9157) all_418_0_1090 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9157) yields: % 184.54/126.05 | (9151) all_418_0_1090 = 0 % 184.54/126.05 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.54/126.05 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.54/126.05 | % 184.54/126.05 | Instantiating (1816) with all_464_0_1116 yields: % 184.54/126.05 | (9348) (all_464_0_1116 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1116 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.54/126.05 | % 184.54/126.05 +-Applying beta-rule and splitting (9331), into two cases. % 184.54/126.05 |-Branch one: % 184.54/126.05 | (9349) all_445_0_1115 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9349) yields: % 184.54/126.05 | (9350) all_445_0_1115 = 0 % 184.54/126.05 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.54/126.05 | (417) all_181_1_103 = all_0_6_6 % 184.54/126.05 | % 184.54/126.05 | From (417) and (259) follows: % 184.54/126.05 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 184.54/126.05 | % 184.54/126.05 +-Applying beta-rule and splitting (9348), into two cases. % 184.54/126.05 |-Branch one: % 184.54/126.05 | (9354) all_464_0_1116 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.54/126.05 | % 184.54/126.05 | Applying alpha-rule on (9354) yields: % 184.54/126.05 | (9355) all_464_0_1116 = 0 % 184.54/126.05 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.54/126.05 | % 184.54/126.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.54/126.06 | (1833) all_205_2_109 = all_0_6_6 % 184.54/126.06 | % 184.54/126.06 | From (1833) and (296) follows: % 184.54/126.06 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 184.54/126.06 | (288) all_181_0_102 = 0 % 184.54/126.06 | % 184.54/126.06 | Equations (288) can reduce 258 to: % 184.54/126.06 | (173) $false % 184.54/126.06 | % 184.54/126.06 |-The branch is then unsatisfiable % 184.54/126.06 |-Branch two: % 184.54/126.06 | (9361) all_464_0_1116 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.54/126.06 | % 184.54/126.06 | Applying alpha-rule on (9361) yields: % 184.54/126.06 | (9355) all_464_0_1116 = 0 % 184.54/126.06 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.54/126.06 | (1840) all_205_2_109 = all_0_9_9 % 184.54/126.06 | % 184.54/126.06 | From (1840) and (309) follows: % 184.54/126.06 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.54/126.06 | (233) all_110_0_83 = 0 % 184.54/126.06 | % 184.54/126.06 | Equations (233) can reduce 209 to: % 184.54/126.06 | (173) $false % 184.54/126.06 | % 184.54/126.06 |-The branch is then unsatisfiable % 184.54/126.06 |-Branch two: % 184.54/126.06 | (9368) all_445_0_1115 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.54/126.06 | % 184.54/126.06 | Applying alpha-rule on (9368) yields: % 184.54/126.06 | (9350) all_445_0_1115 = 0 % 184.54/126.06 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.54/126.06 | (424) all_181_1_103 = all_0_9_9 % 184.54/126.06 | % 184.54/126.06 | From (424) and (269) follows: % 184.54/126.06 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.54/126.06 | (233) all_110_0_83 = 0 % 184.54/126.06 | % 184.54/126.06 | Equations (233) can reduce 209 to: % 184.54/126.06 | (173) $false % 184.54/126.06 | % 184.54/126.06 |-The branch is then unsatisfiable % 184.54/126.06 |-Branch two: % 184.54/126.06 | (9145) all_410_0_1089 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.54/126.06 | % 184.54/126.06 | Applying alpha-rule on (9145) yields: % 184.54/126.06 | (9139) all_410_0_1089 = 0 % 184.54/126.06 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.54/126.06 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.54/126.06 | % 184.54/126.06 | Instantiating (508) with all_453_0_1118 yields: % 184.54/126.06 | (9379) (all_453_0_1118 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1118 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.54/126.06 | % 184.54/126.06 +-Applying beta-rule and splitting (9331), into two cases. % 184.54/126.06 |-Branch one: % 184.54/126.06 | (9349) all_445_0_1115 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.54/126.06 | % 184.54/126.06 | Applying alpha-rule on (9349) yields: % 184.54/126.06 | (9350) all_445_0_1115 = 0 % 184.54/126.06 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.54/126.06 | (417) all_181_1_103 = all_0_6_6 % 184.54/126.06 | % 184.54/126.06 | From (417) and (259) follows: % 184.54/126.06 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 184.54/126.06 | % 184.54/126.06 +-Applying beta-rule and splitting (9379), into two cases. % 184.54/126.06 |-Branch one: % 184.54/126.06 | (9385) all_453_0_1118 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.54/126.06 | % 184.54/126.06 | Applying alpha-rule on (9385) yields: % 184.54/126.06 | (9386) all_453_0_1118 = 0 % 184.54/126.06 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.54/126.06 | (525) all_226_1_115 = all_0_6_6 % 184.54/126.06 | % 184.54/126.06 | From (525) and (287) follows: % 184.54/126.06 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 184.54/126.06 | (288) all_181_0_102 = 0 % 184.54/126.06 | % 184.54/126.06 | Equations (288) can reduce 258 to: % 184.54/126.06 | (173) $false % 184.54/126.06 | % 184.54/126.06 |-The branch is then unsatisfiable % 184.54/126.06 |-Branch two: % 184.54/126.06 | (9392) all_453_0_1118 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.54/126.06 | % 184.54/126.06 | Applying alpha-rule on (9392) yields: % 184.54/126.06 | (9386) all_453_0_1118 = 0 % 184.54/126.06 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.54/126.06 | (532) all_226_1_115 = all_0_9_9 % 184.54/126.06 | % 184.54/126.06 | From (532) and (302) follows: % 184.54/126.06 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.54/126.06 | (233) all_110_0_83 = 0 % 184.54/126.06 | % 184.54/126.06 | Equations (233) can reduce 209 to: % 184.54/126.06 | (173) $false % 184.54/126.06 | % 184.54/126.06 |-The branch is then unsatisfiable % 184.54/126.06 |-Branch two: % 184.54/126.06 | (9368) all_445_0_1115 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.54/126.06 | % 184.54/126.06 | Applying alpha-rule on (9368) yields: % 184.54/126.06 | (9350) all_445_0_1115 = 0 % 184.54/126.06 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.54/126.06 | (424) all_181_1_103 = all_0_9_9 % 184.54/126.06 | % 184.54/126.06 | From (424) and (269) follows: % 184.54/126.06 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 184.54/126.06 | (233) all_110_0_83 = 0 % 184.54/126.06 | % 184.54/126.06 | Equations (233) can reduce 209 to: % 184.54/126.06 | (173) $false % 184.54/126.06 | % 184.54/126.06 |-The branch is then unsatisfiable % 184.54/126.06 |-Branch two: % 184.54/126.06 | (9087) all_378_0_1077 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 184.54/126.06 | % 184.54/126.06 | Applying alpha-rule on (9087) yields: % 184.54/126.06 | (8985) all_378_0_1077 = 0 % 184.54/126.06 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 184.54/126.06 | (1890) all_205_2_109 = all_0_5_5 % 184.54/126.06 | % 184.54/126.06 | From (1890) and (315) follows: % 184.54/126.06 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.54/126.06 | (212) all_85_0_75 = 0 % 184.54/126.06 | % 184.54/126.06 | Equations (212) can reduce 181 to: % 184.54/126.06 | (173) $false % 184.54/126.06 | % 184.54/126.06 |-The branch is then unsatisfiable % 184.54/126.06 |-Branch two: % 184.54/126.06 | (9094) all_370_0_1076 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 184.54/126.06 | % 184.54/126.06 | Applying alpha-rule on (9094) yields: % 184.54/126.06 | (8980) all_370_0_1076 = 0 % 184.54/126.06 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 184.54/126.06 | (582) all_226_1_115 = all_0_5_5 % 184.54/126.06 | % 184.54/126.06 | From (582) and (308) follows: % 184.54/126.06 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.54/126.06 | % 184.54/126.06 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.54/126.06 | (212) all_85_0_75 = 0 % 184.54/126.06 | % 184.54/126.06 | Equations (212) can reduce 181 to: % 184.54/126.06 | (173) $false % 184.54/126.06 | % 184.54/126.06 |-The branch is then unsatisfiable % 184.54/126.07 |-Branch two: % 184.54/126.07 | (9101) all_362_0_1075 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 184.54/126.07 | % 184.54/126.07 | Applying alpha-rule on (9101) yields: % 184.54/126.07 | (8975) all_362_0_1075 = 0 % 184.54/126.07 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 184.54/126.07 | (474) all_181_1_103 = all_0_5_5 % 184.54/126.07 | % 184.54/126.07 | From (474) and (297) follows: % 184.54/126.07 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.54/126.07 | (212) all_85_0_75 = 0 % 184.54/126.07 | % 184.54/126.07 | Equations (212) can reduce 181 to: % 184.54/126.07 | (173) $false % 184.54/126.07 | % 184.54/126.07 |-The branch is then unsatisfiable % 184.54/126.07 |-Branch two: % 184.54/126.07 | (2952) all_318_0_130 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 184.54/126.07 | % 184.54/126.07 | Applying alpha-rule on (2952) yields: % 184.54/126.07 | (1650) all_318_0_130 = 0 % 184.54/126.07 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 184.54/126.07 | (2955) all_205_2_109 = all_0_8_8 % 184.54/126.07 | % 184.54/126.07 | From (2955) and (303) follows: % 184.54/126.07 | (7012) mem(all_0_8_8, all_99_1_80) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (58) with all_0_8_8, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_8_8, all_99_1_80) = all_135_0_89, mem(all_0_8_8, all_99_1_80) = 0, yields: % 184.54/126.07 | (261) all_135_0_89 = 0 % 184.54/126.07 | % 184.54/126.07 | Equations (261) can reduce 230 to: % 184.54/126.07 | (173) $false % 184.54/126.07 | % 184.54/126.07 |-The branch is then unsatisfiable % 184.54/126.07 |-Branch two: % 184.54/126.07 | (1644) all_311_0_129 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 184.54/126.07 | % 184.54/126.07 | Applying alpha-rule on (1644) yields: % 184.54/126.07 | (342) all_311_0_129 = 0 % 184.54/126.07 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 184.54/126.07 | (1647) all_226_1_115 = all_0_8_8 % 184.54/126.07 | % 184.54/126.07 | From (1647) and (295) follows: % 184.54/126.07 | (7012) mem(all_0_8_8, all_99_1_80) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (58) with all_0_8_8, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_8_8, all_99_1_80) = all_135_0_89, mem(all_0_8_8, all_99_1_80) = 0, yields: % 184.54/126.07 | (261) all_135_0_89 = 0 % 184.54/126.07 | % 184.54/126.07 | Equations (261) can reduce 230 to: % 184.54/126.07 | (173) $false % 184.54/126.07 | % 184.54/126.07 |-The branch is then unsatisfiable % 184.54/126.07 |-Branch two: % 184.54/126.07 | (2959) all_292_0_126 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 184.54/126.07 | % 184.54/126.07 | Applying alpha-rule on (2959) yields: % 184.54/126.07 | (337) all_292_0_126 = 0 % 184.54/126.07 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 184.54/126.07 | (2962) all_181_1_103 = all_0_8_8 % 184.54/126.07 | % 184.54/126.07 | From (2962) and (260) follows: % 184.54/126.07 | (7012) mem(all_0_8_8, all_99_1_80) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (58) with all_0_8_8, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_8_8, all_99_1_80) = all_135_0_89, mem(all_0_8_8, all_99_1_80) = 0, yields: % 184.54/126.07 | (261) all_135_0_89 = 0 % 184.54/126.07 | % 184.54/126.07 | Equations (261) can reduce 230 to: % 184.54/126.07 | (173) $false % 184.54/126.07 | % 184.54/126.07 |-The branch is then unsatisfiable % 184.54/126.07 |-Branch two: % 184.54/126.07 | (4286) all_291_0_125 = 0 & mem(all_110_1_84, all_0_4_4) = 0 % 184.54/126.07 | % 184.54/126.07 | Applying alpha-rule on (4286) yields: % 184.54/126.07 | (332) all_291_0_125 = 0 % 184.54/126.07 | (4288) mem(all_110_1_84, all_0_4_4) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_110_1_84 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_110_1_84, all_0_4_4) = 0, yields: % 184.54/126.07 | (4289) all_110_1_84 = all_0_5_5 % 184.54/126.07 | % 184.54/126.07 | From (4289) and (211) follows: % 184.54/126.07 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 184.54/126.07 | (212) all_85_0_75 = 0 % 184.54/126.07 | % 184.54/126.07 | Equations (212) can reduce 181 to: % 184.54/126.07 | (173) $false % 184.54/126.07 | % 184.54/126.07 |-The branch is then unsatisfiable % 184.54/126.07 |-Branch two: % 184.54/126.07 | (9455) all_162_0_95 = 0 & mem(all_110_1_84, all_0_7_7) = 0 % 184.54/126.07 | % 184.54/126.07 | Applying alpha-rule on (9455) yields: % 184.54/126.07 | (306) all_162_0_95 = 0 % 184.54/126.07 | (9457) mem(all_110_1_84, all_0_7_7) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_110_1_84 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_110_1_84, all_0_7_7) = 0, yields: % 184.54/126.07 | (9458) all_110_1_84 = all_0_8_8 % 184.54/126.07 | % 184.54/126.07 | From (9458) and (210) follows: % 184.54/126.07 | (9459) mem(all_0_8_8, all_74_1_72) = all_110_0_83 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (127) with all_226_1_115, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_226_1_115, all_74_1_72) = 0, yields: % 184.54/126.07 | (308) mem(all_226_1_115, all_57_1_65) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (127) with all_205_2_109, all_74_1_72, all_99_1_80 and discharging atoms subq(all_99_1_80, all_74_1_72) = 0, mem(all_205_2_109, all_99_1_80) = 0, yields: % 184.54/126.07 | (309) mem(all_205_2_109, all_74_1_72) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_181_1_103 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_181_1_103, all_0_0_0) = 0, yields: % 184.54/126.07 | (310) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_1_1) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_7_7) = 0)) % 184.54/126.07 | % 184.54/126.07 | Instantiating (310) with all_295_0_1132 yields: % 184.54/126.07 | (9463) (all_295_0_1132 = 0 & mem(all_181_1_103, all_0_1_1) = 0) | (all_295_0_1132 = 0 & mem(all_181_1_103, all_0_7_7) = 0) % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (127) with all_226_1_115, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_226_1_115, all_57_1_65) = 0, yields: % 184.54/126.07 | (314) mem(all_226_1_115, all_0_0_0) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (127) with all_205_2_109, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_205_2_109, all_74_1_72) = 0, yields: % 184.54/126.07 | (315) mem(all_205_2_109, all_57_1_65) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_226_1_115 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_226_1_115, all_0_0_0) = 0, yields: % 184.54/126.07 | (316) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_1_1) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_7_7) = 0)) % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (127) with all_205_2_109, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_205_2_109, all_57_1_65) = 0, yields: % 184.54/126.07 | (317) mem(all_205_2_109, all_0_0_0) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating (316) with all_314_0_1135 yields: % 184.54/126.07 | (9468) (all_314_0_1135 = 0 & mem(all_226_1_115, all_0_1_1) = 0) | (all_314_0_1135 = 0 & mem(all_226_1_115, all_0_7_7) = 0) % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_205_2_109 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_205_2_109, all_0_0_0) = 0, yields: % 184.54/126.07 | (319) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_1_1) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_7_7) = 0)) % 184.54/126.07 | % 184.54/126.07 | Instantiating (319) with all_321_0_1136 yields: % 184.54/126.07 | (9470) (all_321_0_1136 = 0 & mem(all_205_2_109, all_0_1_1) = 0) | (all_321_0_1136 = 0 & mem(all_205_2_109, all_0_7_7) = 0) % 184.54/126.07 | % 184.54/126.07 +-Applying beta-rule and splitting (300), into two cases. % 184.54/126.07 |-Branch one: % 184.54/126.07 | (321) all_254_0_118 = 0 & mem(all_85_1_76, all_0_2_2) = 0 % 184.54/126.07 | % 184.54/126.07 | Applying alpha-rule on (321) yields: % 184.54/126.07 | (322) all_254_0_118 = 0 % 184.54/126.07 | (323) mem(all_85_1_76, all_0_2_2) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_85_1_76, all_0_2_2) = 0, yields: % 184.54/126.07 | (324) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_72_0_70) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_3_3) = 0)) % 184.54/126.07 | % 184.54/126.07 | Instantiating (324) with all_335_0_1138 yields: % 184.54/126.07 | (9475) (all_335_0_1138 = 0 & mem(all_85_1_76, all_72_0_70) = 0) | (all_335_0_1138 = 0 & mem(all_85_1_76, all_0_3_3) = 0) % 184.54/126.07 | % 184.54/126.07 +-Applying beta-rule and splitting (301), into two cases. % 184.54/126.07 |-Branch one: % 184.54/126.07 | (326) all_255_0_119 = 0 & mem(all_135_1_90, all_0_1_1) = 0 % 184.54/126.07 | % 184.54/126.07 | Applying alpha-rule on (326) yields: % 184.54/126.07 | (327) all_255_0_119 = 0 % 184.54/126.07 | (328) mem(all_135_1_90, all_0_1_1) = 0 % 184.54/126.07 | % 184.54/126.07 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_135_1_90 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_135_1_90, all_0_1_1) = 0, yields: % 184.54/126.07 | (329) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_4_4) = 0)) % 184.54/126.07 | % 184.54/126.07 | Instantiating (329) with all_343_0_1139 yields: % 184.54/126.07 | (9480) (all_343_0_1139 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (all_343_0_1139 = 0 & mem(all_135_1_90, all_0_4_4) = 0) % 184.54/126.07 | % 184.54/126.07 +-Applying beta-rule and splitting (9463), into two cases. % 184.54/126.07 |-Branch one: % 184.54/126.07 | (9481) all_295_0_1132 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 184.54/126.07 | % 184.54/126.08 | Applying alpha-rule on (9481) yields: % 184.54/126.08 | (9482) all_295_0_1132 = 0 % 184.54/126.08 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 184.54/126.08 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 184.54/126.08 | % 184.54/126.08 | Instantiating (339) with all_351_0_1140 yields: % 184.54/126.08 | (9485) (all_351_0_1140 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_351_0_1140 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 184.54/126.08 | % 184.54/126.08 +-Applying beta-rule and splitting (9468), into two cases. % 184.54/126.08 |-Branch one: % 184.54/126.08 | (9486) all_314_0_1135 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 184.54/126.08 | % 184.54/126.08 | Applying alpha-rule on (9486) yields: % 184.54/126.08 | (9487) all_314_0_1135 = 0 % 184.54/126.08 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 184.54/126.08 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 184.54/126.08 | % 184.54/126.08 | Instantiating (344) with all_359_0_1141 yields: % 184.54/126.08 | (9490) (all_359_0_1141 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_359_0_1141 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 184.54/126.08 | % 184.54/126.08 +-Applying beta-rule and splitting (9470), into two cases. % 184.54/126.08 |-Branch one: % 184.54/126.08 | (9491) all_321_0_1136 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 184.54/126.08 | % 184.54/126.08 | Applying alpha-rule on (9491) yields: % 184.54/126.08 | (9492) all_321_0_1136 = 0 % 184.54/126.08 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 184.54/126.08 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 184.54/126.08 | % 184.54/126.08 | Instantiating (1652) with all_367_0_1142 yields: % 184.54/126.08 | (9495) (all_367_0_1142 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_367_0_1142 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 184.54/126.08 | % 184.54/126.08 +-Applying beta-rule and splitting (9475), into two cases. % 184.54/126.08 |-Branch one: % 184.54/126.08 | (9496) all_335_0_1138 = 0 & mem(all_85_1_76, all_72_0_70) = 0 % 184.54/126.08 | % 184.54/126.08 | Applying alpha-rule on (9496) yields: % 184.54/126.08 | (9497) all_335_0_1138 = 0 % 184.54/126.08 | (348) mem(all_85_1_76, all_72_0_70) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_85_1_76 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_85_1_76, all_72_0_70) = 0, yields: % 184.54/126.08 | (349) all_85_1_76 = all_0_3_3 % 184.54/126.08 | % 184.54/126.08 | From (349) and (182) follows: % 184.54/126.08 | (350) mem(all_0_3_3, all_57_1_65) = all_85_0_75 % 184.54/126.08 | % 184.54/126.08 +-Applying beta-rule and splitting (9480), into two cases. % 184.54/126.08 |-Branch one: % 184.54/126.08 | (9501) all_343_0_1139 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 184.54/126.08 | % 184.54/126.08 | Applying alpha-rule on (9501) yields: % 184.54/126.08 | (9502) all_343_0_1139 = 0 % 184.54/126.08 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 184.54/126.08 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 184.54/126.08 | % 184.54/126.08 | Instantiating (354) with all_394_0_1144 yields: % 184.54/126.08 | (9505) (all_394_0_1144 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_394_0_1144 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 184.54/126.08 | % 184.54/126.08 +-Applying beta-rule and splitting (9485), into two cases. % 184.54/126.08 |-Branch one: % 184.54/126.08 | (9506) all_351_0_1140 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 184.54/126.08 | % 184.54/126.08 | Applying alpha-rule on (9506) yields: % 184.54/126.08 | (9507) all_351_0_1140 = 0 % 184.54/126.08 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 184.54/126.08 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 184.54/126.08 | % 184.54/126.08 | Instantiating (371) with all_402_0_1145 yields: % 184.54/126.08 | (9510) (all_402_0_1145 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_402_0_1145 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 184.54/126.08 | % 184.54/126.08 +-Applying beta-rule and splitting (9490), into two cases. % 184.54/126.08 |-Branch one: % 184.54/126.08 | (9511) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 184.54/126.08 | % 184.54/126.08 | Applying alpha-rule on (9511) yields: % 184.54/126.08 | (9512) all_359_0_1141 = 0 % 184.54/126.08 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 184.54/126.08 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 184.54/126.08 | % 184.54/126.08 | Instantiating (479) with all_410_0_1146 yields: % 184.54/126.08 | (9515) (all_410_0_1146 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_1146 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 184.54/126.08 | % 184.54/126.08 +-Applying beta-rule and splitting (9505), into two cases. % 184.54/126.08 |-Branch one: % 184.54/126.08 | (9516) all_394_0_1144 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 184.54/126.08 | % 184.54/126.08 | Applying alpha-rule on (9516) yields: % 184.54/126.08 | (9517) all_394_0_1144 = 0 % 184.54/126.08 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 184.54/126.08 | (376) all_135_1_90 = all_0_3_3 % 184.54/126.08 | % 184.54/126.08 | From (376) and (241) follows: % 184.54/126.08 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.54/126.08 | (212) all_85_0_75 = 0 % 184.54/126.08 | % 184.54/126.08 | Equations (212) can reduce 181 to: % 184.54/126.08 | (173) $false % 184.54/126.08 | % 184.54/126.08 |-The branch is then unsatisfiable % 184.54/126.08 |-Branch two: % 184.54/126.08 | (9523) all_394_0_1144 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 184.54/126.08 | % 184.54/126.08 | Applying alpha-rule on (9523) yields: % 184.54/126.08 | (9517) all_394_0_1144 = 0 % 184.54/126.08 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 184.54/126.08 | % 184.54/126.08 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 184.54/126.08 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 184.54/126.08 | % 184.54/126.08 | Instantiating (383) with all_434_0_1149 yields: % 184.76/126.08 | (9527) (all_434_0_1149 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_434_0_1149 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 184.76/126.08 | % 184.76/126.08 +-Applying beta-rule and splitting (9510), into two cases. % 184.76/126.08 |-Branch one: % 184.76/126.08 | (9528) all_402_0_1145 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 184.76/126.08 | % 184.76/126.08 | Applying alpha-rule on (9528) yields: % 184.76/126.08 | (9529) all_402_0_1145 = 0 % 184.76/126.08 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 184.76/126.08 | % 184.76/126.08 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 184.76/126.08 | (393) all_181_1_103 = all_0_3_3 % 184.76/126.08 | % 184.76/126.08 | From (393) and (297) follows: % 184.76/126.08 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.08 | % 184.76/126.08 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.08 | (212) all_85_0_75 = 0 % 184.76/126.08 | % 184.76/126.08 | Equations (212) can reduce 181 to: % 184.76/126.08 | (173) $false % 184.76/126.08 | % 184.76/126.08 |-The branch is then unsatisfiable % 184.76/126.08 |-Branch two: % 184.76/126.08 | (9535) all_402_0_1145 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 184.76/126.08 | % 184.76/126.08 | Applying alpha-rule on (9535) yields: % 184.76/126.08 | (9529) all_402_0_1145 = 0 % 184.76/126.08 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 184.76/126.09 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 184.76/126.09 | % 184.76/126.09 | Instantiating (400) with all_442_0_1150 yields: % 184.76/126.09 | (9539) (all_442_0_1150 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_442_0_1150 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 184.76/126.09 | % 184.76/126.09 +-Applying beta-rule and splitting (9515), into two cases. % 184.76/126.09 |-Branch one: % 184.76/126.09 | (9540) all_410_0_1146 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9540) yields: % 184.76/126.09 | (9541) all_410_0_1146 = 0 % 184.76/126.09 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.76/126.09 | (501) all_226_1_115 = all_0_3_3 % 184.76/126.09 | % 184.76/126.09 | From (501) and (308) follows: % 184.76/126.09 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.09 | (212) all_85_0_75 = 0 % 184.76/126.09 | % 184.76/126.09 | Equations (212) can reduce 181 to: % 184.76/126.09 | (173) $false % 184.76/126.09 | % 184.76/126.09 |-The branch is then unsatisfiable % 184.76/126.09 |-Branch two: % 184.76/126.09 | (9547) all_410_0_1146 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9547) yields: % 184.76/126.09 | (9541) all_410_0_1146 = 0 % 184.76/126.09 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.76/126.09 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.76/126.09 | % 184.76/126.09 | Instantiating (508) with all_450_0_1151 yields: % 184.76/126.09 | (9551) (all_450_0_1151 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_450_0_1151 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.76/126.09 | % 184.76/126.09 +-Applying beta-rule and splitting (9527), into two cases. % 184.76/126.09 |-Branch one: % 184.76/126.09 | (9552) all_434_0_1149 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9552) yields: % 184.76/126.09 | (9553) all_434_0_1149 = 0 % 184.76/126.09 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 184.76/126.09 | (405) all_135_1_90 = all_0_6_6 % 184.76/126.09 | % 184.76/126.09 | From (405) and (231) follows: % 184.76/126.09 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 184.76/126.09 | % 184.76/126.09 +-Applying beta-rule and splitting (9539), into two cases. % 184.76/126.09 |-Branch one: % 184.76/126.09 | (9557) all_442_0_1150 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9557) yields: % 184.76/126.09 | (9558) all_442_0_1150 = 0 % 184.76/126.09 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.76/126.09 | (417) all_181_1_103 = all_0_6_6 % 184.76/126.09 | % 184.76/126.09 | From (417) and (260) follows: % 184.76/126.09 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.76/126.09 | (261) all_135_0_89 = 0 % 184.76/126.09 | % 184.76/126.09 | Equations (261) can reduce 230 to: % 184.76/126.09 | (173) $false % 184.76/126.09 | % 184.76/126.09 |-The branch is then unsatisfiable % 184.76/126.09 |-Branch two: % 184.76/126.09 | (9564) all_442_0_1150 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9564) yields: % 184.76/126.09 | (9558) all_442_0_1150 = 0 % 184.76/126.09 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.76/126.09 | (424) all_181_1_103 = all_0_9_9 % 184.76/126.09 | % 184.76/126.09 | From (424) and (259) follows: % 184.76/126.09 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 184.76/126.09 | % 184.76/126.09 +-Applying beta-rule and splitting (9551), into two cases. % 184.76/126.09 |-Branch one: % 184.76/126.09 | (9569) all_450_0_1151 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9569) yields: % 184.76/126.09 | (9570) all_450_0_1151 = 0 % 184.76/126.09 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.76/126.09 | (525) all_226_1_115 = all_0_6_6 % 184.76/126.09 | % 184.76/126.09 | From (525) and (295) follows: % 184.76/126.09 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.76/126.09 | (261) all_135_0_89 = 0 % 184.76/126.09 | % 184.76/126.09 | Equations (261) can reduce 230 to: % 184.76/126.09 | (173) $false % 184.76/126.09 | % 184.76/126.09 |-The branch is then unsatisfiable % 184.76/126.09 |-Branch two: % 184.76/126.09 | (9576) all_450_0_1151 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9576) yields: % 184.76/126.09 | (9570) all_450_0_1151 = 0 % 184.76/126.09 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.76/126.09 | (532) all_226_1_115 = all_0_9_9 % 184.76/126.09 | % 184.76/126.09 | From (532) and (287) follows: % 184.76/126.09 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 184.76/126.09 | (288) all_181_0_102 = 0 % 184.76/126.09 | % 184.76/126.09 | Equations (288) can reduce 258 to: % 184.76/126.09 | (173) $false % 184.76/126.09 | % 184.76/126.09 |-The branch is then unsatisfiable % 184.76/126.09 |-Branch two: % 184.76/126.09 | (9583) all_434_0_1149 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9583) yields: % 184.76/126.09 | (9553) all_434_0_1149 = 0 % 184.76/126.09 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 184.76/126.09 | (412) all_135_1_90 = all_0_9_9 % 184.76/126.09 | % 184.76/126.09 | From (412) and (231) follows: % 184.76/126.09 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 184.76/126.09 | % 184.76/126.09 +-Applying beta-rule and splitting (9539), into two cases. % 184.76/126.09 |-Branch one: % 184.76/126.09 | (9557) all_442_0_1150 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9557) yields: % 184.76/126.09 | (9558) all_442_0_1150 = 0 % 184.76/126.09 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.76/126.09 | (417) all_181_1_103 = all_0_6_6 % 184.76/126.09 | % 184.76/126.09 | From (417) and (259) follows: % 184.76/126.09 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 184.76/126.09 | % 184.76/126.09 +-Applying beta-rule and splitting (9551), into two cases. % 184.76/126.09 |-Branch one: % 184.76/126.09 | (9569) all_450_0_1151 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9569) yields: % 184.76/126.09 | (9570) all_450_0_1151 = 0 % 184.76/126.09 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.76/126.09 | (525) all_226_1_115 = all_0_6_6 % 184.76/126.09 | % 184.76/126.09 | From (525) and (287) follows: % 184.76/126.09 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 184.76/126.09 | (288) all_181_0_102 = 0 % 184.76/126.09 | % 184.76/126.09 | Equations (288) can reduce 258 to: % 184.76/126.09 | (173) $false % 184.76/126.09 | % 184.76/126.09 |-The branch is then unsatisfiable % 184.76/126.09 |-Branch two: % 184.76/126.09 | (9576) all_450_0_1151 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.09 | % 184.76/126.09 | Applying alpha-rule on (9576) yields: % 184.76/126.09 | (9570) all_450_0_1151 = 0 % 184.76/126.09 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.76/126.09 | (532) all_226_1_115 = all_0_9_9 % 184.76/126.09 | % 184.76/126.09 | From (532) and (295) follows: % 184.76/126.09 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.76/126.09 | % 184.76/126.09 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.76/126.09 | (261) all_135_0_89 = 0 % 184.76/126.09 | % 184.76/126.09 | Equations (261) can reduce 230 to: % 184.76/126.09 | (173) $false % 184.76/126.09 | % 184.76/126.09 |-The branch is then unsatisfiable % 184.76/126.10 |-Branch two: % 184.76/126.10 | (9564) all_442_0_1150 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9564) yields: % 184.76/126.10 | (9558) all_442_0_1150 = 0 % 184.76/126.10 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.76/126.10 | (424) all_181_1_103 = all_0_9_9 % 184.76/126.10 | % 184.76/126.10 | From (424) and (260) follows: % 184.76/126.10 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.76/126.10 | (261) all_135_0_89 = 0 % 184.76/126.10 | % 184.76/126.10 | Equations (261) can reduce 230 to: % 184.76/126.10 | (173) $false % 184.76/126.10 | % 184.76/126.10 |-The branch is then unsatisfiable % 184.76/126.10 |-Branch two: % 184.76/126.10 | (9614) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9614) yields: % 184.76/126.10 | (9512) all_359_0_1141 = 0 % 184.76/126.10 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 184.76/126.10 | (582) all_226_1_115 = all_0_5_5 % 184.76/126.10 | % 184.76/126.10 | From (582) and (286) follows: % 184.76/126.10 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 184.76/126.10 | % 184.76/126.10 +-Applying beta-rule and splitting (9495), into two cases. % 184.76/126.10 |-Branch one: % 184.76/126.10 | (9619) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9619) yields: % 184.76/126.10 | (9620) all_367_0_1142 = 0 % 184.76/126.10 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 184.76/126.10 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 184.76/126.10 | % 184.76/126.10 | Instantiating (1787) with all_421_0_1154 yields: % 184.76/126.10 | (9623) (all_421_0_1154 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_1154 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 184.76/126.10 | % 184.76/126.10 +-Applying beta-rule and splitting (9505), into two cases. % 184.76/126.10 |-Branch one: % 184.76/126.10 | (9516) all_394_0_1144 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9516) yields: % 184.76/126.10 | (9517) all_394_0_1144 = 0 % 184.76/126.10 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 184.76/126.10 | (376) all_135_1_90 = all_0_3_3 % 184.76/126.10 | % 184.76/126.10 | From (376) and (241) follows: % 184.76/126.10 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.10 | (212) all_85_0_75 = 0 % 184.76/126.10 | % 184.76/126.10 | Equations (212) can reduce 181 to: % 184.76/126.10 | (173) $false % 184.76/126.10 | % 184.76/126.10 |-The branch is then unsatisfiable % 184.76/126.10 |-Branch two: % 184.76/126.10 | (9523) all_394_0_1144 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9523) yields: % 184.76/126.10 | (9517) all_394_0_1144 = 0 % 184.76/126.10 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 184.76/126.10 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 184.76/126.10 | % 184.76/126.10 | Instantiating (383) with all_437_0_1156 yields: % 184.76/126.10 | (9635) (all_437_0_1156 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_437_0_1156 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 184.76/126.10 | % 184.76/126.10 +-Applying beta-rule and splitting (9510), into two cases. % 184.76/126.10 |-Branch one: % 184.76/126.10 | (9528) all_402_0_1145 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9528) yields: % 184.76/126.10 | (9529) all_402_0_1145 = 0 % 184.76/126.10 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 184.76/126.10 | (393) all_181_1_103 = all_0_3_3 % 184.76/126.10 | % 184.76/126.10 | From (393) and (297) follows: % 184.76/126.10 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.10 | (212) all_85_0_75 = 0 % 184.76/126.10 | % 184.76/126.10 | Equations (212) can reduce 181 to: % 184.76/126.10 | (173) $false % 184.76/126.10 | % 184.76/126.10 |-The branch is then unsatisfiable % 184.76/126.10 |-Branch two: % 184.76/126.10 | (9535) all_402_0_1145 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9535) yields: % 184.76/126.10 | (9529) all_402_0_1145 = 0 % 184.76/126.10 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 184.76/126.10 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 184.76/126.10 | % 184.76/126.10 | Instantiating (400) with all_445_0_1157 yields: % 184.76/126.10 | (9647) (all_445_0_1157 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_1157 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 184.76/126.10 | % 184.76/126.10 +-Applying beta-rule and splitting (9623), into two cases. % 184.76/126.10 |-Branch one: % 184.76/126.10 | (9648) all_421_0_1154 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9648) yields: % 184.76/126.10 | (9649) all_421_0_1154 = 0 % 184.76/126.10 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.76/126.10 | (1809) all_205_2_109 = all_0_3_3 % 184.76/126.10 | % 184.76/126.10 | From (1809) and (315) follows: % 184.76/126.10 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.10 | (212) all_85_0_75 = 0 % 184.76/126.10 | % 184.76/126.10 | Equations (212) can reduce 181 to: % 184.76/126.10 | (173) $false % 184.76/126.10 | % 184.76/126.10 |-The branch is then unsatisfiable % 184.76/126.10 |-Branch two: % 184.76/126.10 | (9655) all_421_0_1154 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9655) yields: % 184.76/126.10 | (9649) all_421_0_1154 = 0 % 184.76/126.10 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.76/126.10 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.76/126.10 | % 184.76/126.10 | Instantiating (1816) with all_453_0_1158 yields: % 184.76/126.10 | (9659) (all_453_0_1158 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1158 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.76/126.10 | % 184.76/126.10 +-Applying beta-rule and splitting (9635), into two cases. % 184.76/126.10 |-Branch one: % 184.76/126.10 | (9660) all_437_0_1156 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 184.76/126.10 | % 184.76/126.10 | Applying alpha-rule on (9660) yields: % 184.76/126.10 | (9661) all_437_0_1156 = 0 % 184.76/126.10 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 184.76/126.10 | % 184.76/126.10 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 184.76/126.10 | (405) all_135_1_90 = all_0_6_6 % 184.76/126.10 | % 184.76/126.10 | From (405) and (231) follows: % 184.76/126.10 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 184.76/126.10 | % 184.76/126.11 +-Applying beta-rule and splitting (9647), into two cases. % 184.76/126.11 |-Branch one: % 184.76/126.11 | (9665) all_445_0_1157 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.11 | % 184.76/126.11 | Applying alpha-rule on (9665) yields: % 184.76/126.11 | (9666) all_445_0_1157 = 0 % 184.76/126.11 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.76/126.11 | (417) all_181_1_103 = all_0_6_6 % 184.76/126.11 | % 184.76/126.11 | From (417) and (260) follows: % 184.76/126.11 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.76/126.11 | (261) all_135_0_89 = 0 % 184.76/126.11 | % 184.76/126.11 | Equations (261) can reduce 230 to: % 184.76/126.11 | (173) $false % 184.76/126.11 | % 184.76/126.11 |-The branch is then unsatisfiable % 184.76/126.11 |-Branch two: % 184.76/126.11 | (9672) all_445_0_1157 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Applying alpha-rule on (9672) yields: % 184.76/126.11 | (9666) all_445_0_1157 = 0 % 184.76/126.11 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.76/126.11 | (424) all_181_1_103 = all_0_9_9 % 184.76/126.11 | % 184.76/126.11 | From (424) and (259) follows: % 184.76/126.11 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 184.76/126.11 | % 184.76/126.11 +-Applying beta-rule and splitting (9659), into two cases. % 184.76/126.11 |-Branch one: % 184.76/126.11 | (9677) all_453_0_1158 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.11 | % 184.76/126.11 | Applying alpha-rule on (9677) yields: % 184.76/126.11 | (9678) all_453_0_1158 = 0 % 184.76/126.11 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.76/126.11 | (1833) all_205_2_109 = all_0_6_6 % 184.76/126.11 | % 184.76/126.11 | From (1833) and (303) follows: % 184.76/126.11 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.76/126.11 | (261) all_135_0_89 = 0 % 184.76/126.11 | % 184.76/126.11 | Equations (261) can reduce 230 to: % 184.76/126.11 | (173) $false % 184.76/126.11 | % 184.76/126.11 |-The branch is then unsatisfiable % 184.76/126.11 |-Branch two: % 184.76/126.11 | (9684) all_453_0_1158 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Applying alpha-rule on (9684) yields: % 184.76/126.11 | (9678) all_453_0_1158 = 0 % 184.76/126.11 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.76/126.11 | (1840) all_205_2_109 = all_0_9_9 % 184.76/126.11 | % 184.76/126.11 | From (1840) and (296) follows: % 184.76/126.11 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 184.76/126.11 | (288) all_181_0_102 = 0 % 184.76/126.11 | % 184.76/126.11 | Equations (288) can reduce 258 to: % 184.76/126.11 | (173) $false % 184.76/126.11 | % 184.76/126.11 |-The branch is then unsatisfiable % 184.76/126.11 |-Branch two: % 184.76/126.11 | (9691) all_437_0_1156 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Applying alpha-rule on (9691) yields: % 184.76/126.11 | (9661) all_437_0_1156 = 0 % 184.76/126.11 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 184.76/126.11 | (412) all_135_1_90 = all_0_9_9 % 184.76/126.11 | % 184.76/126.11 | From (412) and (231) follows: % 184.76/126.11 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 184.76/126.11 | % 184.76/126.11 +-Applying beta-rule and splitting (9647), into two cases. % 184.76/126.11 |-Branch one: % 184.76/126.11 | (9665) all_445_0_1157 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.11 | % 184.76/126.11 | Applying alpha-rule on (9665) yields: % 184.76/126.11 | (9666) all_445_0_1157 = 0 % 184.76/126.11 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.76/126.11 | (417) all_181_1_103 = all_0_6_6 % 184.76/126.11 | % 184.76/126.11 | From (417) and (259) follows: % 184.76/126.11 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 184.76/126.11 | % 184.76/126.11 +-Applying beta-rule and splitting (9659), into two cases. % 184.76/126.11 |-Branch one: % 184.76/126.11 | (9677) all_453_0_1158 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.11 | % 184.76/126.11 | Applying alpha-rule on (9677) yields: % 184.76/126.11 | (9678) all_453_0_1158 = 0 % 184.76/126.11 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.76/126.11 | (1833) all_205_2_109 = all_0_6_6 % 184.76/126.11 | % 184.76/126.11 | From (1833) and (296) follows: % 184.76/126.11 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 184.76/126.11 | (288) all_181_0_102 = 0 % 184.76/126.11 | % 184.76/126.11 | Equations (288) can reduce 258 to: % 184.76/126.11 | (173) $false % 184.76/126.11 | % 184.76/126.11 |-The branch is then unsatisfiable % 184.76/126.11 |-Branch two: % 184.76/126.11 | (9684) all_453_0_1158 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Applying alpha-rule on (9684) yields: % 184.76/126.11 | (9678) all_453_0_1158 = 0 % 184.76/126.11 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.76/126.11 | (1840) all_205_2_109 = all_0_9_9 % 184.76/126.11 | % 184.76/126.11 | From (1840) and (303) follows: % 184.76/126.11 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.76/126.11 | (261) all_135_0_89 = 0 % 184.76/126.11 | % 184.76/126.11 | Equations (261) can reduce 230 to: % 184.76/126.11 | (173) $false % 184.76/126.11 | % 184.76/126.11 |-The branch is then unsatisfiable % 184.76/126.11 |-Branch two: % 184.76/126.11 | (9672) all_445_0_1157 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Applying alpha-rule on (9672) yields: % 184.76/126.11 | (9666) all_445_0_1157 = 0 % 184.76/126.11 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.76/126.11 | (424) all_181_1_103 = all_0_9_9 % 184.76/126.11 | % 184.76/126.11 | From (424) and (260) follows: % 184.76/126.11 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.76/126.11 | % 184.76/126.11 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.76/126.11 | (261) all_135_0_89 = 0 % 184.76/126.11 | % 184.76/126.11 | Equations (261) can reduce 230 to: % 184.76/126.11 | (173) $false % 184.76/126.11 | % 184.76/126.11 |-The branch is then unsatisfiable % 184.76/126.12 |-Branch two: % 184.76/126.12 | (9722) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 184.76/126.12 | % 184.76/126.12 | Applying alpha-rule on (9722) yields: % 184.76/126.12 | (9620) all_367_0_1142 = 0 % 184.76/126.12 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 184.76/126.12 | (1890) all_205_2_109 = all_0_5_5 % 184.76/126.12 | % 184.76/126.12 | From (1890) and (275) follows: % 184.76/126.12 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 184.76/126.12 | (2957) all_226_0_114 = 0 % 184.76/126.12 | % 184.76/126.12 | Equations (2957) can reduce 285 to: % 184.76/126.12 | (173) $false % 184.76/126.12 | % 184.76/126.12 |-The branch is then unsatisfiable % 184.76/126.12 |-Branch two: % 184.76/126.12 | (9729) all_351_0_1140 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 184.76/126.12 | % 184.76/126.12 | Applying alpha-rule on (9729) yields: % 184.76/126.12 | (9507) all_351_0_1140 = 0 % 184.76/126.12 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 184.76/126.12 | (474) all_181_1_103 = all_0_5_5 % 184.76/126.12 | % 184.76/126.12 | From (474) and (259) follows: % 184.76/126.12 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 184.76/126.12 | % 184.76/126.12 +-Applying beta-rule and splitting (9490), into two cases. % 184.76/126.12 |-Branch one: % 184.76/126.12 | (9511) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 184.76/126.12 | % 184.76/126.12 | Applying alpha-rule on (9511) yields: % 184.76/126.12 | (9512) all_359_0_1141 = 0 % 184.76/126.12 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 184.76/126.12 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 184.76/126.12 | % 184.76/126.12 | Instantiating (479) with all_413_0_1160 yields: % 184.76/126.12 | (9738) (all_413_0_1160 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_413_0_1160 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 184.76/126.12 | % 184.76/126.12 +-Applying beta-rule and splitting (9495), into two cases. % 184.76/126.12 |-Branch one: % 184.76/126.12 | (9619) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 184.76/126.12 | % 184.76/126.12 | Applying alpha-rule on (9619) yields: % 184.76/126.12 | (9620) all_367_0_1142 = 0 % 184.76/126.12 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 184.76/126.12 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 184.76/126.12 | % 184.76/126.12 | Instantiating (1787) with all_421_0_1161 yields: % 184.76/126.12 | (9743) (all_421_0_1161 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_1161 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 184.76/126.12 | % 184.76/126.12 +-Applying beta-rule and splitting (9505), into two cases. % 184.76/126.12 |-Branch one: % 184.76/126.12 | (9516) all_394_0_1144 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 184.76/126.12 | % 184.76/126.12 | Applying alpha-rule on (9516) yields: % 184.76/126.12 | (9517) all_394_0_1144 = 0 % 184.76/126.12 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 184.76/126.12 | (376) all_135_1_90 = all_0_3_3 % 184.76/126.12 | % 184.76/126.12 | From (376) and (241) follows: % 184.76/126.12 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.12 | (212) all_85_0_75 = 0 % 184.76/126.12 | % 184.76/126.12 | Equations (212) can reduce 181 to: % 184.76/126.12 | (173) $false % 184.76/126.12 | % 184.76/126.12 |-The branch is then unsatisfiable % 184.76/126.12 |-Branch two: % 184.76/126.12 | (9523) all_394_0_1144 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 184.76/126.12 | % 184.76/126.12 | Applying alpha-rule on (9523) yields: % 184.76/126.12 | (9517) all_394_0_1144 = 0 % 184.76/126.12 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 184.76/126.12 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 184.76/126.12 | % 184.76/126.12 | Instantiating (383) with all_437_0_1163 yields: % 184.76/126.12 | (9755) (all_437_0_1163 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_437_0_1163 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 184.76/126.12 | % 184.76/126.12 +-Applying beta-rule and splitting (9738), into two cases. % 184.76/126.12 |-Branch one: % 184.76/126.12 | (9756) all_413_0_1160 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.76/126.12 | % 184.76/126.12 | Applying alpha-rule on (9756) yields: % 184.76/126.12 | (9757) all_413_0_1160 = 0 % 184.76/126.12 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.76/126.12 | (501) all_226_1_115 = all_0_3_3 % 184.76/126.12 | % 184.76/126.12 | From (501) and (308) follows: % 184.76/126.12 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.12 | % 184.76/126.12 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.12 | (212) all_85_0_75 = 0 % 184.76/126.12 | % 184.76/126.12 | Equations (212) can reduce 181 to: % 184.76/126.12 | (173) $false % 184.76/126.12 | % 184.76/126.12 |-The branch is then unsatisfiable % 184.76/126.12 |-Branch two: % 184.76/126.13 | (9763) all_413_0_1160 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.76/126.13 | % 184.76/126.13 | Applying alpha-rule on (9763) yields: % 184.76/126.13 | (9757) all_413_0_1160 = 0 % 184.76/126.13 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.76/126.13 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.76/126.13 | % 184.76/126.13 | Instantiating (508) with all_445_0_1164 yields: % 184.76/126.13 | (9767) (all_445_0_1164 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1164 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.76/126.13 | % 184.76/126.13 +-Applying beta-rule and splitting (9743), into two cases. % 184.76/126.13 |-Branch one: % 184.76/126.13 | (9768) all_421_0_1161 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.76/126.13 | % 184.76/126.13 | Applying alpha-rule on (9768) yields: % 184.76/126.13 | (9769) all_421_0_1161 = 0 % 184.76/126.13 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.76/126.13 | (1809) all_205_2_109 = all_0_3_3 % 184.76/126.13 | % 184.76/126.13 | From (1809) and (315) follows: % 184.76/126.13 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.13 | (212) all_85_0_75 = 0 % 184.76/126.13 | % 184.76/126.13 | Equations (212) can reduce 181 to: % 184.76/126.13 | (173) $false % 184.76/126.13 | % 184.76/126.13 |-The branch is then unsatisfiable % 184.76/126.13 |-Branch two: % 184.76/126.13 | (9775) all_421_0_1161 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.76/126.13 | % 184.76/126.13 | Applying alpha-rule on (9775) yields: % 184.76/126.13 | (9769) all_421_0_1161 = 0 % 184.76/126.13 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.76/126.13 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.76/126.13 | % 184.76/126.13 | Instantiating (1816) with all_453_0_1165 yields: % 184.76/126.13 | (9779) (all_453_0_1165 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1165 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.76/126.13 | % 184.76/126.13 +-Applying beta-rule and splitting (9755), into two cases. % 184.76/126.13 |-Branch one: % 184.76/126.13 | (9780) all_437_0_1163 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 184.76/126.13 | % 184.76/126.13 | Applying alpha-rule on (9780) yields: % 184.76/126.13 | (9781) all_437_0_1163 = 0 % 184.76/126.13 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 184.76/126.13 | (405) all_135_1_90 = all_0_6_6 % 184.76/126.13 | % 184.76/126.13 | From (405) and (231) follows: % 184.76/126.13 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 184.76/126.13 | % 184.76/126.13 +-Applying beta-rule and splitting (9767), into two cases. % 184.76/126.13 |-Branch one: % 184.76/126.13 | (9785) all_445_0_1164 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.13 | % 184.76/126.13 | Applying alpha-rule on (9785) yields: % 184.76/126.13 | (9786) all_445_0_1164 = 0 % 184.76/126.13 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.76/126.13 | (525) all_226_1_115 = all_0_6_6 % 184.76/126.13 | % 184.76/126.13 | From (525) and (295) follows: % 184.76/126.13 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.76/126.13 | (261) all_135_0_89 = 0 % 184.76/126.13 | % 184.76/126.13 | Equations (261) can reduce 230 to: % 184.76/126.13 | (173) $false % 184.76/126.13 | % 184.76/126.13 |-The branch is then unsatisfiable % 184.76/126.13 |-Branch two: % 184.76/126.13 | (9792) all_445_0_1164 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.13 | % 184.76/126.13 | Applying alpha-rule on (9792) yields: % 184.76/126.13 | (9786) all_445_0_1164 = 0 % 184.76/126.13 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.76/126.13 | (532) all_226_1_115 = all_0_9_9 % 184.76/126.13 | % 184.76/126.13 | From (532) and (286) follows: % 184.76/126.13 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 184.76/126.13 | % 184.76/126.13 +-Applying beta-rule and splitting (9779), into two cases. % 184.76/126.13 |-Branch one: % 184.76/126.13 | (9797) all_453_0_1165 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.13 | % 184.76/126.13 | Applying alpha-rule on (9797) yields: % 184.76/126.13 | (9798) all_453_0_1165 = 0 % 184.76/126.13 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.76/126.13 | (1833) all_205_2_109 = all_0_6_6 % 184.76/126.13 | % 184.76/126.13 | From (1833) and (303) follows: % 184.76/126.13 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 184.76/126.13 | (261) all_135_0_89 = 0 % 184.76/126.13 | % 184.76/126.13 | Equations (261) can reduce 230 to: % 184.76/126.13 | (173) $false % 184.76/126.13 | % 184.76/126.13 |-The branch is then unsatisfiable % 184.76/126.13 |-Branch two: % 184.76/126.13 | (9804) all_453_0_1165 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.13 | % 184.76/126.13 | Applying alpha-rule on (9804) yields: % 184.76/126.13 | (9798) all_453_0_1165 = 0 % 184.76/126.13 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.76/126.13 | (1840) all_205_2_109 = all_0_9_9 % 184.76/126.13 | % 184.76/126.13 | From (1840) and (275) follows: % 184.76/126.13 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 184.76/126.13 | % 184.76/126.13 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 184.76/126.13 | (2957) all_226_0_114 = 0 % 184.76/126.13 | % 184.76/126.13 | Equations (2957) can reduce 285 to: % 184.76/126.13 | (173) $false % 184.76/126.13 | % 184.76/126.13 |-The branch is then unsatisfiable % 184.76/126.14 |-Branch two: % 184.76/126.14 | (9811) all_437_0_1163 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 184.76/126.14 | % 184.76/126.14 | Applying alpha-rule on (9811) yields: % 184.76/126.14 | (9781) all_437_0_1163 = 0 % 184.76/126.14 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 184.76/126.14 | (412) all_135_1_90 = all_0_9_9 % 184.76/126.14 | % 184.76/126.14 | From (412) and (231) follows: % 184.76/126.14 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 184.76/126.14 | % 184.76/126.14 +-Applying beta-rule and splitting (9767), into two cases. % 184.76/126.14 |-Branch one: % 184.76/126.14 | (9785) all_445_0_1164 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.14 | % 184.76/126.14 | Applying alpha-rule on (9785) yields: % 184.76/126.14 | (9786) all_445_0_1164 = 0 % 184.76/126.14 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.76/126.14 | (525) all_226_1_115 = all_0_6_6 % 184.76/126.14 | % 184.76/126.14 | From (525) and (286) follows: % 184.76/126.14 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 184.76/126.14 | % 184.76/126.14 +-Applying beta-rule and splitting (9779), into two cases. % 184.76/126.14 |-Branch one: % 184.76/126.14 | (9797) all_453_0_1165 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.14 | % 184.76/126.14 | Applying alpha-rule on (9797) yields: % 184.76/126.14 | (9798) all_453_0_1165 = 0 % 184.76/126.14 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.76/126.14 | (1833) all_205_2_109 = all_0_6_6 % 184.76/126.14 | % 184.76/126.14 | From (1833) and (275) follows: % 184.76/126.14 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 184.76/126.14 | (2957) all_226_0_114 = 0 % 184.76/126.14 | % 184.76/126.14 | Equations (2957) can reduce 285 to: % 184.76/126.14 | (173) $false % 184.76/126.14 | % 184.76/126.14 |-The branch is then unsatisfiable % 184.76/126.14 |-Branch two: % 184.76/126.14 | (9804) all_453_0_1165 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.14 | % 184.76/126.14 | Applying alpha-rule on (9804) yields: % 184.76/126.14 | (9798) all_453_0_1165 = 0 % 184.76/126.14 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.76/126.14 | (1840) all_205_2_109 = all_0_9_9 % 184.76/126.14 | % 184.76/126.14 | From (1840) and (303) follows: % 184.76/126.14 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.76/126.14 | (261) all_135_0_89 = 0 % 184.76/126.14 | % 184.76/126.14 | Equations (261) can reduce 230 to: % 184.76/126.14 | (173) $false % 184.76/126.14 | % 184.76/126.14 |-The branch is then unsatisfiable % 184.76/126.14 |-Branch two: % 184.76/126.14 | (9792) all_445_0_1164 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.14 | % 184.76/126.14 | Applying alpha-rule on (9792) yields: % 184.76/126.14 | (9786) all_445_0_1164 = 0 % 184.76/126.14 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.76/126.14 | (532) all_226_1_115 = all_0_9_9 % 184.76/126.14 | % 184.76/126.14 | From (532) and (295) follows: % 184.76/126.14 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 184.76/126.14 | (261) all_135_0_89 = 0 % 184.76/126.14 | % 184.76/126.14 | Equations (261) can reduce 230 to: % 184.76/126.14 | (173) $false % 184.76/126.14 | % 184.76/126.14 |-The branch is then unsatisfiable % 184.76/126.14 |-Branch two: % 184.76/126.14 | (9722) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 184.76/126.14 | % 184.76/126.14 | Applying alpha-rule on (9722) yields: % 184.76/126.14 | (9620) all_367_0_1142 = 0 % 184.76/126.14 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 184.76/126.14 | (1890) all_205_2_109 = all_0_5_5 % 184.76/126.14 | % 184.76/126.14 | From (1890) and (296) follows: % 184.76/126.14 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 184.76/126.14 | (288) all_181_0_102 = 0 % 184.76/126.14 | % 184.76/126.14 | Equations (288) can reduce 258 to: % 184.76/126.14 | (173) $false % 184.76/126.14 | % 184.76/126.14 |-The branch is then unsatisfiable % 184.76/126.14 |-Branch two: % 184.76/126.14 | (9614) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 184.76/126.14 | % 184.76/126.14 | Applying alpha-rule on (9614) yields: % 184.76/126.14 | (9512) all_359_0_1141 = 0 % 184.76/126.14 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 184.76/126.14 | (582) all_226_1_115 = all_0_5_5 % 184.76/126.14 | % 184.76/126.14 | From (582) and (287) follows: % 184.76/126.14 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 184.76/126.14 | % 184.76/126.14 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 184.76/126.14 | (288) all_181_0_102 = 0 % 184.76/126.14 | % 184.76/126.14 | Equations (288) can reduce 258 to: % 184.76/126.14 | (173) $false % 184.76/126.14 | % 184.76/126.14 |-The branch is then unsatisfiable % 184.76/126.15 |-Branch two: % 184.76/126.15 | (9856) all_343_0_1139 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 184.76/126.15 | % 184.76/126.15 | Applying alpha-rule on (9856) yields: % 184.76/126.15 | (9502) all_343_0_1139 = 0 % 184.76/126.15 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 184.76/126.15 | (589) all_135_1_90 = all_0_5_5 % 184.76/126.15 | % 184.76/126.15 | From (589) and (231) follows: % 184.76/126.15 | (590) mem(all_0_5_5, all_99_1_80) = all_135_0_89 % 184.76/126.15 | % 184.76/126.15 +-Applying beta-rule and splitting (9485), into two cases. % 184.76/126.15 |-Branch one: % 184.76/126.15 | (9506) all_351_0_1140 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 184.76/126.15 | % 184.76/126.15 | Applying alpha-rule on (9506) yields: % 184.76/126.15 | (9507) all_351_0_1140 = 0 % 184.76/126.15 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 184.76/126.15 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 184.76/126.15 | % 184.76/126.15 | Instantiating (371) with all_405_0_1167 yields: % 184.76/126.15 | (9865) (all_405_0_1167 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_405_0_1167 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 184.76/126.15 | % 184.76/126.15 +-Applying beta-rule and splitting (9490), into two cases. % 184.76/126.15 |-Branch one: % 184.76/126.15 | (9511) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 184.76/126.15 | % 184.76/126.15 | Applying alpha-rule on (9511) yields: % 184.76/126.15 | (9512) all_359_0_1141 = 0 % 184.76/126.15 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 184.76/126.15 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 184.76/126.15 | % 184.76/126.15 | Instantiating (479) with all_413_0_1168 yields: % 184.76/126.15 | (9870) (all_413_0_1168 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_413_0_1168 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 184.76/126.15 | % 184.76/126.15 +-Applying beta-rule and splitting (9495), into two cases. % 184.76/126.15 |-Branch one: % 184.76/126.15 | (9619) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 184.76/126.15 | % 184.76/126.15 | Applying alpha-rule on (9619) yields: % 184.76/126.15 | (9620) all_367_0_1142 = 0 % 184.76/126.15 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 184.76/126.15 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 184.76/126.15 | % 184.76/126.15 | Instantiating (1787) with all_421_0_1169 yields: % 184.76/126.15 | (9875) (all_421_0_1169 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_1169 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 184.76/126.15 | % 184.76/126.15 +-Applying beta-rule and splitting (9865), into two cases. % 184.76/126.15 |-Branch one: % 184.76/126.15 | (9876) all_405_0_1167 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 184.76/126.15 | % 184.76/126.15 | Applying alpha-rule on (9876) yields: % 184.76/126.15 | (9877) all_405_0_1167 = 0 % 184.76/126.15 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 184.76/126.15 | (393) all_181_1_103 = all_0_3_3 % 184.76/126.15 | % 184.76/126.15 | From (393) and (297) follows: % 184.76/126.15 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.15 | (212) all_85_0_75 = 0 % 184.76/126.15 | % 184.76/126.15 | Equations (212) can reduce 181 to: % 184.76/126.15 | (173) $false % 184.76/126.15 | % 184.76/126.15 |-The branch is then unsatisfiable % 184.76/126.15 |-Branch two: % 184.76/126.15 | (9883) all_405_0_1167 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 184.76/126.15 | % 184.76/126.15 | Applying alpha-rule on (9883) yields: % 184.76/126.15 | (9877) all_405_0_1167 = 0 % 184.76/126.15 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 184.76/126.15 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 184.76/126.15 | % 184.76/126.15 | Instantiating (400) with all_437_0_1171 yields: % 184.76/126.15 | (9887) (all_437_0_1171 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_437_0_1171 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 184.76/126.15 | % 184.76/126.15 +-Applying beta-rule and splitting (9870), into two cases. % 184.76/126.15 |-Branch one: % 184.76/126.15 | (9888) all_413_0_1168 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 184.76/126.15 | % 184.76/126.15 | Applying alpha-rule on (9888) yields: % 184.76/126.15 | (9889) all_413_0_1168 = 0 % 184.76/126.15 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 184.76/126.15 | (501) all_226_1_115 = all_0_3_3 % 184.76/126.15 | % 184.76/126.15 | From (501) and (308) follows: % 184.76/126.15 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.15 | (212) all_85_0_75 = 0 % 184.76/126.15 | % 184.76/126.15 | Equations (212) can reduce 181 to: % 184.76/126.15 | (173) $false % 184.76/126.15 | % 184.76/126.15 |-The branch is then unsatisfiable % 184.76/126.15 |-Branch two: % 184.76/126.15 | (9895) all_413_0_1168 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 184.76/126.15 | % 184.76/126.15 | Applying alpha-rule on (9895) yields: % 184.76/126.15 | (9889) all_413_0_1168 = 0 % 184.76/126.15 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 184.76/126.15 | % 184.76/126.15 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 184.76/126.15 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 184.76/126.15 | % 184.76/126.15 | Instantiating (508) with all_445_0_1172 yields: % 184.76/126.16 | (9899) (all_445_0_1172 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1172 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 184.76/126.16 | % 184.76/126.16 +-Applying beta-rule and splitting (9875), into two cases. % 184.76/126.16 |-Branch one: % 184.76/126.16 | (9900) all_421_0_1169 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 184.76/126.16 | % 184.76/126.16 | Applying alpha-rule on (9900) yields: % 184.76/126.16 | (9901) all_421_0_1169 = 0 % 184.76/126.16 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 184.76/126.16 | (1809) all_205_2_109 = all_0_3_3 % 184.76/126.16 | % 184.76/126.16 | From (1809) and (315) follows: % 184.76/126.16 | (360) mem(all_0_3_3, all_57_1_65) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (58) with all_0_3_3, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_3_3, all_57_1_65) = all_85_0_75, mem(all_0_3_3, all_57_1_65) = 0, yields: % 184.76/126.16 | (212) all_85_0_75 = 0 % 184.76/126.16 | % 184.76/126.16 | Equations (212) can reduce 181 to: % 184.76/126.16 | (173) $false % 184.76/126.16 | % 184.76/126.16 |-The branch is then unsatisfiable % 184.76/126.16 |-Branch two: % 184.76/126.16 | (9907) all_421_0_1169 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 184.76/126.16 | % 184.76/126.16 | Applying alpha-rule on (9907) yields: % 184.76/126.16 | (9901) all_421_0_1169 = 0 % 184.76/126.16 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 184.76/126.16 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 184.76/126.16 | % 184.76/126.16 | Instantiating (1816) with all_453_0_1173 yields: % 184.76/126.16 | (9911) (all_453_0_1173 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1173 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 184.76/126.16 | % 184.76/126.16 +-Applying beta-rule and splitting (9887), into two cases. % 184.76/126.16 |-Branch one: % 184.76/126.16 | (9912) all_437_0_1171 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.16 | % 184.76/126.16 | Applying alpha-rule on (9912) yields: % 184.76/126.16 | (9913) all_437_0_1171 = 0 % 184.76/126.16 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 184.76/126.16 | (417) all_181_1_103 = all_0_6_6 % 184.76/126.16 | % 184.76/126.16 | From (417) and (259) follows: % 184.76/126.16 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 184.76/126.16 | % 184.76/126.16 +-Applying beta-rule and splitting (9899), into two cases. % 184.76/126.16 |-Branch one: % 184.76/126.16 | (9917) all_445_0_1172 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.16 | % 184.76/126.16 | Applying alpha-rule on (9917) yields: % 184.76/126.16 | (9918) all_445_0_1172 = 0 % 184.76/126.16 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.76/126.16 | (525) all_226_1_115 = all_0_6_6 % 184.76/126.16 | % 184.76/126.16 | From (525) and (287) follows: % 184.76/126.16 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 184.76/126.16 | (288) all_181_0_102 = 0 % 184.76/126.16 | % 184.76/126.16 | Equations (288) can reduce 258 to: % 184.76/126.16 | (173) $false % 184.76/126.16 | % 184.76/126.16 |-The branch is then unsatisfiable % 184.76/126.16 |-Branch two: % 184.76/126.16 | (9924) all_445_0_1172 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.16 | % 184.76/126.16 | Applying alpha-rule on (9924) yields: % 184.76/126.16 | (9918) all_445_0_1172 = 0 % 184.76/126.16 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.76/126.16 | (532) all_226_1_115 = all_0_9_9 % 184.76/126.16 | % 184.76/126.16 | From (532) and (286) follows: % 184.76/126.16 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 184.76/126.16 | % 184.76/126.16 +-Applying beta-rule and splitting (9911), into two cases. % 184.76/126.16 |-Branch one: % 184.76/126.16 | (9929) all_453_0_1173 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.16 | % 184.76/126.16 | Applying alpha-rule on (9929) yields: % 184.76/126.16 | (9930) all_453_0_1173 = 0 % 184.76/126.16 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.76/126.16 | (1833) all_205_2_109 = all_0_6_6 % 184.76/126.16 | % 184.76/126.16 | From (1833) and (296) follows: % 184.76/126.16 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 184.76/126.16 | (288) all_181_0_102 = 0 % 184.76/126.16 | % 184.76/126.16 | Equations (288) can reduce 258 to: % 184.76/126.16 | (173) $false % 184.76/126.16 | % 184.76/126.16 |-The branch is then unsatisfiable % 184.76/126.16 |-Branch two: % 184.76/126.16 | (9936) all_453_0_1173 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.16 | % 184.76/126.16 | Applying alpha-rule on (9936) yields: % 184.76/126.16 | (9930) all_453_0_1173 = 0 % 184.76/126.16 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.76/126.16 | (1840) all_205_2_109 = all_0_9_9 % 184.76/126.16 | % 184.76/126.16 | From (1840) and (275) follows: % 184.76/126.16 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 184.76/126.16 | % 184.76/126.16 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 184.76/126.16 | (2957) all_226_0_114 = 0 % 184.76/126.16 | % 184.76/126.16 | Equations (2957) can reduce 285 to: % 184.76/126.16 | (173) $false % 184.76/126.16 | % 184.76/126.16 |-The branch is then unsatisfiable % 184.99/126.16 |-Branch two: % 184.99/126.16 | (9943) all_437_0_1171 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 184.99/126.16 | % 184.99/126.16 | Applying alpha-rule on (9943) yields: % 184.99/126.16 | (9913) all_437_0_1171 = 0 % 184.99/126.16 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 184.99/126.16 | % 184.99/126.16 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 184.99/126.17 | (424) all_181_1_103 = all_0_9_9 % 184.99/126.17 | % 184.99/126.17 | From (424) and (259) follows: % 184.99/126.17 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 184.99/126.17 | % 184.99/126.17 +-Applying beta-rule and splitting (9899), into two cases. % 184.99/126.17 |-Branch one: % 184.99/126.17 | (9917) all_445_0_1172 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 184.99/126.17 | % 184.99/126.17 | Applying alpha-rule on (9917) yields: % 184.99/126.17 | (9918) all_445_0_1172 = 0 % 184.99/126.17 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 184.99/126.17 | (525) all_226_1_115 = all_0_6_6 % 184.99/126.17 | % 184.99/126.17 | From (525) and (286) follows: % 184.99/126.17 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 184.99/126.17 | % 184.99/126.17 +-Applying beta-rule and splitting (9911), into two cases. % 184.99/126.17 |-Branch one: % 184.99/126.17 | (9929) all_453_0_1173 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 184.99/126.17 | % 184.99/126.17 | Applying alpha-rule on (9929) yields: % 184.99/126.17 | (9930) all_453_0_1173 = 0 % 184.99/126.17 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 184.99/126.17 | (1833) all_205_2_109 = all_0_6_6 % 184.99/126.17 | % 184.99/126.17 | From (1833) and (275) follows: % 184.99/126.17 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 184.99/126.17 | (2957) all_226_0_114 = 0 % 184.99/126.17 | % 184.99/126.17 | Equations (2957) can reduce 285 to: % 184.99/126.17 | (173) $false % 184.99/126.17 | % 184.99/126.17 |-The branch is then unsatisfiable % 184.99/126.17 |-Branch two: % 184.99/126.17 | (9936) all_453_0_1173 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 184.99/126.17 | % 184.99/126.17 | Applying alpha-rule on (9936) yields: % 184.99/126.17 | (9930) all_453_0_1173 = 0 % 184.99/126.17 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 184.99/126.17 | (1840) all_205_2_109 = all_0_9_9 % 184.99/126.17 | % 184.99/126.17 | From (1840) and (296) follows: % 184.99/126.17 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 184.99/126.17 | (288) all_181_0_102 = 0 % 184.99/126.17 | % 184.99/126.17 | Equations (288) can reduce 258 to: % 184.99/126.17 | (173) $false % 184.99/126.17 | % 184.99/126.17 |-The branch is then unsatisfiable % 184.99/126.17 |-Branch two: % 184.99/126.17 | (9924) all_445_0_1172 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 184.99/126.17 | % 184.99/126.17 | Applying alpha-rule on (9924) yields: % 184.99/126.17 | (9918) all_445_0_1172 = 0 % 184.99/126.17 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 184.99/126.17 | (532) all_226_1_115 = all_0_9_9 % 184.99/126.17 | % 184.99/126.17 | From (532) and (287) follows: % 184.99/126.17 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 184.99/126.17 | (288) all_181_0_102 = 0 % 184.99/126.17 | % 184.99/126.17 | Equations (288) can reduce 258 to: % 184.99/126.17 | (173) $false % 184.99/126.17 | % 184.99/126.17 |-The branch is then unsatisfiable % 184.99/126.17 |-Branch two: % 184.99/126.17 | (9722) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 184.99/126.17 | % 184.99/126.17 | Applying alpha-rule on (9722) yields: % 184.99/126.17 | (9620) all_367_0_1142 = 0 % 184.99/126.17 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 184.99/126.17 | (1890) all_205_2_109 = all_0_5_5 % 184.99/126.17 | % 184.99/126.17 | From (1890) and (303) follows: % 184.99/126.17 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 184.99/126.17 | (261) all_135_0_89 = 0 % 184.99/126.17 | % 184.99/126.17 | Equations (261) can reduce 230 to: % 184.99/126.17 | (173) $false % 184.99/126.17 | % 184.99/126.17 |-The branch is then unsatisfiable % 184.99/126.17 |-Branch two: % 184.99/126.17 | (9614) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 184.99/126.17 | % 184.99/126.17 | Applying alpha-rule on (9614) yields: % 184.99/126.17 | (9512) all_359_0_1141 = 0 % 184.99/126.17 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 184.99/126.17 | (582) all_226_1_115 = all_0_5_5 % 184.99/126.17 | % 184.99/126.17 | From (582) and (295) follows: % 184.99/126.17 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 184.99/126.17 | (261) all_135_0_89 = 0 % 184.99/126.17 | % 184.99/126.17 | Equations (261) can reduce 230 to: % 184.99/126.17 | (173) $false % 184.99/126.17 | % 184.99/126.17 |-The branch is then unsatisfiable % 184.99/126.17 |-Branch two: % 184.99/126.17 | (9729) all_351_0_1140 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 184.99/126.17 | % 184.99/126.17 | Applying alpha-rule on (9729) yields: % 184.99/126.17 | (9507) all_351_0_1140 = 0 % 184.99/126.17 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 184.99/126.17 | (474) all_181_1_103 = all_0_5_5 % 184.99/126.17 | % 184.99/126.17 | From (474) and (260) follows: % 184.99/126.17 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 184.99/126.17 | % 184.99/126.17 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 184.99/126.17 | (261) all_135_0_89 = 0 % 184.99/126.17 | % 184.99/126.17 | Equations (261) can reduce 230 to: % 184.99/126.17 | (173) $false % 184.99/126.17 | % 184.99/126.17 |-The branch is then unsatisfiable % 184.99/126.17 |-Branch two: % 184.99/126.18 | (9995) all_335_0_1138 = 0 & mem(all_85_1_76, all_0_3_3) = 0 % 184.99/126.18 | % 184.99/126.18 | Applying alpha-rule on (9995) yields: % 184.99/126.18 | (9497) all_335_0_1138 = 0 % 184.99/126.18 | (739) mem(all_85_1_76, all_0_3_3) = 0 % 184.99/126.18 | % 184.99/126.18 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_85_1_76, all_0_3_3) = 0, yields: % 184.99/126.18 | (740) ? [v0] : ((v0 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (v0 = 0 & mem(all_85_1_76, all_0_6_6) = 0)) % 184.99/126.18 | % 184.99/126.18 | Instantiating (740) with all_383_0_1175 yields: % 184.99/126.18 | (9999) (all_383_0_1175 = 0 & mem(all_85_1_76, all_0_5_5) = 0) | (all_383_0_1175 = 0 & mem(all_85_1_76, all_0_6_6) = 0) % 184.99/126.18 | % 184.99/126.18 +-Applying beta-rule and splitting (9480), into two cases. % 184.99/126.18 |-Branch one: % 184.99/126.18 | (9501) all_343_0_1139 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 184.99/126.18 | % 184.99/126.18 | Applying alpha-rule on (9501) yields: % 184.99/126.18 | (9502) all_343_0_1139 = 0 % 184.99/126.18 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 184.99/126.18 | % 184.99/126.18 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 184.99/126.18 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 184.99/126.18 | % 184.99/126.18 | Instantiating (354) with all_391_0_1176 yields: % 184.99/126.18 | (10004) (all_391_0_1176 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_391_0_1176 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 184.99/126.18 | % 184.99/126.18 +-Applying beta-rule and splitting (9485), into two cases. % 184.99/126.18 |-Branch one: % 185.02/126.18 | (9506) all_351_0_1140 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 185.02/126.18 | % 185.02/126.18 | Applying alpha-rule on (9506) yields: % 185.02/126.18 | (9507) all_351_0_1140 = 0 % 185.02/126.18 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 185.02/126.18 | % 185.02/126.18 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 185.02/126.18 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 185.02/126.18 | % 185.02/126.18 | Instantiating (371) with all_399_0_1177 yields: % 185.02/126.18 | (10009) (all_399_0_1177 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_399_0_1177 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 185.02/126.18 | % 185.02/126.18 +-Applying beta-rule and splitting (9490), into two cases. % 185.02/126.18 |-Branch one: % 185.02/126.18 | (9511) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.02/126.18 | % 185.02/126.18 | Applying alpha-rule on (9511) yields: % 185.02/126.18 | (9512) all_359_0_1141 = 0 % 185.02/126.18 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.02/126.18 | % 185.02/126.18 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.02/126.18 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.02/126.18 | % 185.02/126.18 | Instantiating (479) with all_407_0_1178 yields: % 185.02/126.18 | (10014) (all_407_0_1178 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_407_0_1178 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.02/126.18 | % 185.02/126.18 +-Applying beta-rule and splitting (9999), into two cases. % 185.02/126.18 |-Branch one: % 185.02/126.18 | (10015) all_383_0_1175 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 185.02/126.18 | % 185.02/126.18 | Applying alpha-rule on (10015) yields: % 185.02/126.18 | (10016) all_383_0_1175 = 0 % 185.02/126.18 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 185.02/126.18 | % 185.02/126.18 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 185.02/126.18 | (760) all_85_1_76 = all_0_6_6 % 185.02/126.18 | % 185.02/126.18 | From (760) and (182) follows: % 185.02/126.18 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 185.02/126.18 | % 185.02/126.18 +-Applying beta-rule and splitting (10004), into two cases. % 185.02/126.18 |-Branch one: % 185.02/126.18 | (10020) all_391_0_1176 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.02/126.18 | % 185.02/126.18 | Applying alpha-rule on (10020) yields: % 185.02/126.18 | (10021) all_391_0_1176 = 0 % 185.02/126.18 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.02/126.18 | % 185.02/126.18 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.02/126.18 | (376) all_135_1_90 = all_0_3_3 % 185.02/126.18 | % 185.02/126.18 | From (376) and (231) follows: % 185.02/126.18 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.02/126.18 | % 185.02/126.18 +-Applying beta-rule and splitting (10009), into two cases. % 185.02/126.18 |-Branch one: % 185.02/126.18 | (10025) all_399_0_1177 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.02/126.18 | % 185.02/126.18 | Applying alpha-rule on (10025) yields: % 185.02/126.18 | (10026) all_399_0_1177 = 0 % 185.02/126.18 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.02/126.18 | % 185.02/126.18 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.02/126.18 | (393) all_181_1_103 = all_0_3_3 % 185.02/126.18 | % 185.02/126.18 | From (393) and (260) follows: % 185.02/126.18 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.02/126.18 | % 185.02/126.18 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.02/126.18 | (261) all_135_0_89 = 0 % 185.02/126.18 | % 185.02/126.18 | Equations (261) can reduce 230 to: % 185.02/126.18 | (173) $false % 185.02/126.18 | % 185.02/126.18 |-The branch is then unsatisfiable % 185.02/126.18 |-Branch two: % 185.02/126.18 | (10032) all_399_0_1177 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.02/126.18 | % 185.02/126.18 | Applying alpha-rule on (10032) yields: % 185.02/126.18 | (10026) all_399_0_1177 = 0 % 185.02/126.18 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.02/126.18 | % 185.02/126.18 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.02/126.18 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.02/126.18 | % 185.02/126.18 | Instantiating (400) with all_453_0_1181 yields: % 185.02/126.18 | (10036) (all_453_0_1181 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_1181 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.02/126.18 | % 185.02/126.18 +-Applying beta-rule and splitting (10014), into two cases. % 185.02/126.18 |-Branch one: % 185.02/126.18 | (10037) all_407_0_1178 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.02/126.18 | % 185.02/126.18 | Applying alpha-rule on (10037) yields: % 185.02/126.18 | (10038) all_407_0_1178 = 0 % 185.02/126.18 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.02/126.18 | % 185.02/126.18 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.02/126.18 | (501) all_226_1_115 = all_0_3_3 % 185.02/126.18 | % 185.02/126.18 | From (501) and (295) follows: % 185.02/126.18 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.02/126.18 | % 185.02/126.18 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.02/126.18 | (261) all_135_0_89 = 0 % 185.02/126.18 | % 185.02/126.18 | Equations (261) can reduce 230 to: % 185.02/126.18 | (173) $false % 185.02/126.18 | % 185.02/126.18 |-The branch is then unsatisfiable % 185.02/126.18 |-Branch two: % 185.02/126.19 | (10044) all_407_0_1178 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.02/126.19 | % 185.02/126.19 | Applying alpha-rule on (10044) yields: % 185.02/126.19 | (10038) all_407_0_1178 = 0 % 185.02/126.19 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.02/126.19 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.02/126.19 | % 185.02/126.19 | Instantiating (508) with all_461_0_1182 yields: % 185.02/126.19 | (10048) (all_461_0_1182 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_1182 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.02/126.19 | % 185.02/126.19 +-Applying beta-rule and splitting (10036), into two cases. % 185.02/126.19 |-Branch one: % 185.02/126.19 | (10049) all_453_0_1181 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.02/126.19 | % 185.02/126.19 | Applying alpha-rule on (10049) yields: % 185.02/126.19 | (10050) all_453_0_1181 = 0 % 185.02/126.19 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.02/126.19 | (417) all_181_1_103 = all_0_6_6 % 185.02/126.19 | % 185.02/126.19 | From (417) and (297) follows: % 185.02/126.19 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.02/126.19 | (212) all_85_0_75 = 0 % 185.02/126.19 | % 185.02/126.19 | Equations (212) can reduce 181 to: % 185.02/126.19 | (173) $false % 185.02/126.19 | % 185.02/126.19 |-The branch is then unsatisfiable % 185.02/126.19 |-Branch two: % 185.02/126.19 | (10056) all_453_0_1181 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.02/126.19 | % 185.02/126.19 | Applying alpha-rule on (10056) yields: % 185.02/126.19 | (10050) all_453_0_1181 = 0 % 185.02/126.19 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.02/126.19 | (424) all_181_1_103 = all_0_9_9 % 185.02/126.19 | % 185.02/126.19 | From (424) and (259) follows: % 185.02/126.19 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.02/126.19 | % 185.02/126.19 +-Applying beta-rule and splitting (10048), into two cases. % 185.02/126.19 |-Branch one: % 185.02/126.19 | (10061) all_461_0_1182 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.02/126.19 | % 185.02/126.19 | Applying alpha-rule on (10061) yields: % 185.02/126.19 | (10062) all_461_0_1182 = 0 % 185.02/126.19 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.02/126.19 | (525) all_226_1_115 = all_0_6_6 % 185.02/126.19 | % 185.02/126.19 | From (525) and (308) follows: % 185.02/126.19 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.02/126.19 | (212) all_85_0_75 = 0 % 185.02/126.19 | % 185.02/126.19 | Equations (212) can reduce 181 to: % 185.02/126.19 | (173) $false % 185.02/126.19 | % 185.02/126.19 |-The branch is then unsatisfiable % 185.02/126.19 |-Branch two: % 185.02/126.19 | (10068) all_461_0_1182 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.02/126.19 | % 185.02/126.19 | Applying alpha-rule on (10068) yields: % 185.02/126.19 | (10062) all_461_0_1182 = 0 % 185.02/126.19 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.02/126.19 | (532) all_226_1_115 = all_0_9_9 % 185.02/126.19 | % 185.02/126.19 | From (532) and (287) follows: % 185.02/126.19 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.02/126.19 | (288) all_181_0_102 = 0 % 185.02/126.19 | % 185.02/126.19 | Equations (288) can reduce 258 to: % 185.02/126.19 | (173) $false % 185.02/126.19 | % 185.02/126.19 |-The branch is then unsatisfiable % 185.02/126.19 |-Branch two: % 185.02/126.19 | (10075) all_391_0_1176 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.02/126.19 | % 185.02/126.19 | Applying alpha-rule on (10075) yields: % 185.02/126.19 | (10021) all_391_0_1176 = 0 % 185.02/126.19 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.02/126.19 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.02/126.19 | % 185.02/126.19 | Instantiating (383) with all_442_0_1185 yields: % 185.02/126.19 | (10079) (all_442_0_1185 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_442_0_1185 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.02/126.19 | % 185.02/126.19 +-Applying beta-rule and splitting (10009), into two cases. % 185.02/126.19 |-Branch one: % 185.02/126.19 | (10025) all_399_0_1177 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.02/126.19 | % 185.02/126.19 | Applying alpha-rule on (10025) yields: % 185.02/126.19 | (10026) all_399_0_1177 = 0 % 185.02/126.19 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.02/126.19 | (393) all_181_1_103 = all_0_3_3 % 185.02/126.19 | % 185.02/126.19 | From (393) and (259) follows: % 185.02/126.19 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.02/126.19 | % 185.02/126.19 +-Applying beta-rule and splitting (10014), into two cases. % 185.02/126.19 |-Branch one: % 185.02/126.19 | (10037) all_407_0_1178 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.02/126.19 | % 185.02/126.19 | Applying alpha-rule on (10037) yields: % 185.02/126.19 | (10038) all_407_0_1178 = 0 % 185.02/126.19 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.02/126.19 | (501) all_226_1_115 = all_0_3_3 % 185.02/126.19 | % 185.02/126.19 | From (501) and (287) follows: % 185.02/126.19 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.02/126.19 | (288) all_181_0_102 = 0 % 185.02/126.19 | % 185.02/126.19 | Equations (288) can reduce 258 to: % 185.02/126.19 | (173) $false % 185.02/126.19 | % 185.02/126.19 |-The branch is then unsatisfiable % 185.02/126.19 |-Branch two: % 185.02/126.19 | (10044) all_407_0_1178 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.02/126.19 | % 185.02/126.19 | Applying alpha-rule on (10044) yields: % 185.02/126.19 | (10038) all_407_0_1178 = 0 % 185.02/126.19 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.02/126.19 | % 185.02/126.19 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.02/126.19 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.02/126.19 | % 185.02/126.19 | Instantiating (508) with all_461_0_1186 yields: % 185.02/126.19 | (10096) (all_461_0_1186 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_1186 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.02/126.20 | % 185.02/126.20 +-Applying beta-rule and splitting (10079), into two cases. % 185.02/126.20 |-Branch one: % 185.02/126.20 | (10097) all_442_0_1185 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.02/126.20 | % 185.02/126.20 | Applying alpha-rule on (10097) yields: % 185.02/126.20 | (10098) all_442_0_1185 = 0 % 185.02/126.20 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.02/126.20 | (405) all_135_1_90 = all_0_6_6 % 185.02/126.20 | % 185.02/126.20 | From (405) and (241) follows: % 185.02/126.20 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.02/126.20 | (212) all_85_0_75 = 0 % 185.02/126.20 | % 185.02/126.20 | Equations (212) can reduce 181 to: % 185.02/126.20 | (173) $false % 185.02/126.20 | % 185.02/126.20 |-The branch is then unsatisfiable % 185.02/126.20 |-Branch two: % 185.02/126.20 | (10104) all_442_0_1185 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.02/126.20 | % 185.02/126.20 | Applying alpha-rule on (10104) yields: % 185.02/126.20 | (10098) all_442_0_1185 = 0 % 185.02/126.20 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.02/126.20 | (412) all_135_1_90 = all_0_9_9 % 185.02/126.20 | % 185.02/126.20 | From (412) and (231) follows: % 185.02/126.20 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.02/126.20 | % 185.02/126.20 +-Applying beta-rule and splitting (10096), into two cases. % 185.02/126.20 |-Branch one: % 185.02/126.20 | (10109) all_461_0_1186 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.02/126.20 | % 185.02/126.20 | Applying alpha-rule on (10109) yields: % 185.02/126.20 | (10110) all_461_0_1186 = 0 % 185.02/126.20 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.02/126.20 | (525) all_226_1_115 = all_0_6_6 % 185.02/126.20 | % 185.02/126.20 | From (525) and (308) follows: % 185.02/126.20 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.02/126.20 | (212) all_85_0_75 = 0 % 185.02/126.20 | % 185.02/126.20 | Equations (212) can reduce 181 to: % 185.02/126.20 | (173) $false % 185.02/126.20 | % 185.02/126.20 |-The branch is then unsatisfiable % 185.02/126.20 |-Branch two: % 185.02/126.20 | (10116) all_461_0_1186 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.02/126.20 | % 185.02/126.20 | Applying alpha-rule on (10116) yields: % 185.02/126.20 | (10110) all_461_0_1186 = 0 % 185.02/126.20 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.02/126.20 | (532) all_226_1_115 = all_0_9_9 % 185.02/126.20 | % 185.02/126.20 | From (532) and (295) follows: % 185.02/126.20 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.02/126.20 | (261) all_135_0_89 = 0 % 185.02/126.20 | % 185.02/126.20 | Equations (261) can reduce 230 to: % 185.02/126.20 | (173) $false % 185.02/126.20 | % 185.02/126.20 |-The branch is then unsatisfiable % 185.02/126.20 |-Branch two: % 185.02/126.20 | (10032) all_399_0_1177 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.02/126.20 | % 185.02/126.20 | Applying alpha-rule on (10032) yields: % 185.02/126.20 | (10026) all_399_0_1177 = 0 % 185.02/126.20 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.02/126.20 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.02/126.20 | % 185.02/126.20 | Instantiating (400) with all_450_0_1189 yields: % 185.02/126.20 | (10127) (all_450_0_1189 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_450_0_1189 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.02/126.20 | % 185.02/126.20 +-Applying beta-rule and splitting (10079), into two cases. % 185.02/126.20 |-Branch one: % 185.02/126.20 | (10097) all_442_0_1185 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.02/126.20 | % 185.02/126.20 | Applying alpha-rule on (10097) yields: % 185.02/126.20 | (10098) all_442_0_1185 = 0 % 185.02/126.20 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.02/126.20 | (405) all_135_1_90 = all_0_6_6 % 185.02/126.20 | % 185.02/126.20 | From (405) and (241) follows: % 185.02/126.20 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.02/126.20 | (212) all_85_0_75 = 0 % 185.02/126.20 | % 185.02/126.20 | Equations (212) can reduce 181 to: % 185.02/126.20 | (173) $false % 185.02/126.20 | % 185.02/126.20 |-The branch is then unsatisfiable % 185.02/126.20 |-Branch two: % 185.02/126.20 | (10104) all_442_0_1185 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.02/126.20 | % 185.02/126.20 | Applying alpha-rule on (10104) yields: % 185.02/126.20 | (10098) all_442_0_1185 = 0 % 185.02/126.20 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.02/126.20 | (412) all_135_1_90 = all_0_9_9 % 185.02/126.20 | % 185.02/126.20 | From (412) and (231) follows: % 185.02/126.20 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.02/126.20 | % 185.02/126.20 +-Applying beta-rule and splitting (10127), into two cases. % 185.02/126.20 |-Branch one: % 185.02/126.20 | (10140) all_450_0_1189 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.02/126.20 | % 185.02/126.20 | Applying alpha-rule on (10140) yields: % 185.02/126.20 | (10141) all_450_0_1189 = 0 % 185.02/126.20 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.02/126.20 | (417) all_181_1_103 = all_0_6_6 % 185.02/126.20 | % 185.02/126.20 | From (417) and (297) follows: % 185.02/126.20 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.02/126.20 | (212) all_85_0_75 = 0 % 185.02/126.20 | % 185.02/126.20 | Equations (212) can reduce 181 to: % 185.02/126.20 | (173) $false % 185.02/126.20 | % 185.02/126.20 |-The branch is then unsatisfiable % 185.02/126.20 |-Branch two: % 185.02/126.20 | (10147) all_450_0_1189 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.02/126.20 | % 185.02/126.20 | Applying alpha-rule on (10147) yields: % 185.02/126.20 | (10141) all_450_0_1189 = 0 % 185.02/126.20 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.02/126.20 | (424) all_181_1_103 = all_0_9_9 % 185.02/126.20 | % 185.02/126.20 | From (424) and (260) follows: % 185.02/126.20 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.02/126.20 | % 185.02/126.20 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.02/126.20 | (261) all_135_0_89 = 0 % 185.02/126.20 | % 185.02/126.20 | Equations (261) can reduce 230 to: % 185.02/126.20 | (173) $false % 185.02/126.20 | % 185.02/126.20 |-The branch is then unsatisfiable % 185.02/126.21 |-Branch two: % 185.02/126.21 | (10154) all_383_0_1175 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 185.02/126.21 | % 185.02/126.21 | Applying alpha-rule on (10154) yields: % 185.02/126.21 | (10016) all_383_0_1175 = 0 % 185.02/126.21 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 185.02/126.21 | % 185.02/126.21 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 185.02/126.21 | (815) all_85_1_76 = all_0_9_9 % 185.02/126.21 | % 185.02/126.21 | From (815) and (182) follows: % 185.02/126.21 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 185.02/126.21 | % 185.02/126.21 +-Applying beta-rule and splitting (10004), into two cases. % 185.02/126.21 |-Branch one: % 185.02/126.21 | (10020) all_391_0_1176 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.02/126.21 | % 185.02/126.21 | Applying alpha-rule on (10020) yields: % 185.02/126.21 | (10021) all_391_0_1176 = 0 % 185.02/126.21 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.02/126.21 | % 185.02/126.21 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.02/126.21 | (376) all_135_1_90 = all_0_3_3 % 185.02/126.21 | % 185.02/126.21 | From (376) and (231) follows: % 185.02/126.21 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.02/126.21 | % 185.02/126.21 +-Applying beta-rule and splitting (10009), into two cases. % 185.02/126.21 |-Branch one: % 185.02/126.21 | (10025) all_399_0_1177 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.02/126.21 | % 185.02/126.21 | Applying alpha-rule on (10025) yields: % 185.02/126.21 | (10026) all_399_0_1177 = 0 % 185.02/126.21 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.02/126.21 | % 185.02/126.21 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.02/126.21 | (393) all_181_1_103 = all_0_3_3 % 185.02/126.21 | % 185.02/126.21 | From (393) and (260) follows: % 185.02/126.21 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.02/126.21 | % 185.02/126.21 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.02/126.21 | (261) all_135_0_89 = 0 % 185.02/126.21 | % 185.02/126.21 | Equations (261) can reduce 230 to: % 185.02/126.21 | (173) $false % 185.02/126.21 | % 185.02/126.21 |-The branch is then unsatisfiable % 185.02/126.21 |-Branch two: % 185.02/126.21 | (10032) all_399_0_1177 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.02/126.21 | % 185.02/126.21 | Applying alpha-rule on (10032) yields: % 185.02/126.21 | (10026) all_399_0_1177 = 0 % 185.02/126.21 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.02/126.21 | % 185.02/126.21 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.02/126.21 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.02/126.21 | % 185.02/126.21 | Instantiating (400) with all_453_0_1192 yields: % 185.02/126.21 | (10175) (all_453_0_1192 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_1192 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.02/126.21 | % 185.02/126.21 +-Applying beta-rule and splitting (10014), into two cases. % 185.02/126.21 |-Branch one: % 185.02/126.21 | (10037) all_407_0_1178 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.02/126.21 | % 185.02/126.21 | Applying alpha-rule on (10037) yields: % 185.08/126.21 | (10038) all_407_0_1178 = 0 % 185.08/126.21 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.08/126.21 | % 185.08/126.21 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.08/126.21 | (501) all_226_1_115 = all_0_3_3 % 185.08/126.21 | % 185.08/126.21 | From (501) and (295) follows: % 185.08/126.21 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.08/126.21 | % 185.08/126.21 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.08/126.21 | (261) all_135_0_89 = 0 % 185.08/126.21 | % 185.08/126.21 | Equations (261) can reduce 230 to: % 185.08/126.21 | (173) $false % 185.08/126.21 | % 185.08/126.21 |-The branch is then unsatisfiable % 185.08/126.21 |-Branch two: % 185.08/126.21 | (10044) all_407_0_1178 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.08/126.21 | % 185.08/126.21 | Applying alpha-rule on (10044) yields: % 185.08/126.21 | (10038) all_407_0_1178 = 0 % 185.08/126.21 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.08/126.21 | % 185.08/126.21 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.08/126.21 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.08/126.21 | % 185.08/126.21 | Instantiating (508) with all_461_0_1193 yields: % 185.08/126.21 | (10187) (all_461_0_1193 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_1193 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.08/126.21 | % 185.08/126.21 +-Applying beta-rule and splitting (10175), into two cases. % 185.08/126.21 |-Branch one: % 185.08/126.21 | (10188) all_453_0_1192 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.08/126.21 | % 185.08/126.21 | Applying alpha-rule on (10188) yields: % 185.08/126.21 | (10189) all_453_0_1192 = 0 % 185.08/126.21 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.08/126.21 | % 185.08/126.21 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.08/126.21 | (417) all_181_1_103 = all_0_6_6 % 185.08/126.21 | % 185.08/126.21 | From (417) and (259) follows: % 185.08/126.21 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.08/126.21 | % 185.08/126.21 +-Applying beta-rule and splitting (10187), into two cases. % 185.08/126.21 |-Branch one: % 185.08/126.21 | (10193) all_461_0_1193 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.08/126.21 | % 185.08/126.21 | Applying alpha-rule on (10193) yields: % 185.08/126.21 | (10194) all_461_0_1193 = 0 % 185.08/126.21 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.08/126.21 | % 185.08/126.21 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.08/126.21 | (525) all_226_1_115 = all_0_6_6 % 185.08/126.21 | % 185.08/126.21 | From (525) and (287) follows: % 185.08/126.21 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.08/126.21 | % 185.08/126.21 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.08/126.21 | (288) all_181_0_102 = 0 % 185.08/126.21 | % 185.08/126.21 | Equations (288) can reduce 258 to: % 185.08/126.21 | (173) $false % 185.08/126.21 | % 185.08/126.21 |-The branch is then unsatisfiable % 185.08/126.21 |-Branch two: % 185.08/126.21 | (10200) all_461_0_1193 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.08/126.21 | % 185.08/126.21 | Applying alpha-rule on (10200) yields: % 185.08/126.21 | (10194) all_461_0_1193 = 0 % 185.08/126.21 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.08/126.21 | % 185.08/126.21 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.08/126.21 | (532) all_226_1_115 = all_0_9_9 % 185.08/126.21 | % 185.08/126.21 | From (532) and (308) follows: % 185.08/126.21 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.08/126.21 | % 185.08/126.21 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.08/126.21 | (212) all_85_0_75 = 0 % 185.08/126.21 | % 185.08/126.21 | Equations (212) can reduce 181 to: % 185.08/126.21 | (173) $false % 185.08/126.21 | % 185.08/126.21 |-The branch is then unsatisfiable % 185.08/126.22 |-Branch two: % 185.08/126.22 | (10207) all_453_0_1192 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.08/126.22 | % 185.08/126.22 | Applying alpha-rule on (10207) yields: % 185.08/126.22 | (10189) all_453_0_1192 = 0 % 185.08/126.22 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.08/126.22 | (424) all_181_1_103 = all_0_9_9 % 185.08/126.22 | % 185.08/126.22 | From (424) and (297) follows: % 185.08/126.22 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.08/126.22 | (212) all_85_0_75 = 0 % 185.08/126.22 | % 185.08/126.22 | Equations (212) can reduce 181 to: % 185.08/126.22 | (173) $false % 185.08/126.22 | % 185.08/126.22 |-The branch is then unsatisfiable % 185.08/126.22 |-Branch two: % 185.08/126.22 | (10075) all_391_0_1176 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.08/126.22 | % 185.08/126.22 | Applying alpha-rule on (10075) yields: % 185.08/126.22 | (10021) all_391_0_1176 = 0 % 185.08/126.22 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.08/126.22 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.08/126.22 | % 185.08/126.22 | Instantiating (383) with all_442_0_1196 yields: % 185.08/126.22 | (10218) (all_442_0_1196 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_442_0_1196 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.08/126.22 | % 185.08/126.22 +-Applying beta-rule and splitting (10009), into two cases. % 185.08/126.22 |-Branch one: % 185.08/126.22 | (10025) all_399_0_1177 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.08/126.22 | % 185.08/126.22 | Applying alpha-rule on (10025) yields: % 185.08/126.22 | (10026) all_399_0_1177 = 0 % 185.08/126.22 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.08/126.22 | (393) all_181_1_103 = all_0_3_3 % 185.08/126.22 | % 185.08/126.22 | From (393) and (259) follows: % 185.08/126.22 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.08/126.22 | % 185.08/126.22 +-Applying beta-rule and splitting (10014), into two cases. % 185.08/126.22 |-Branch one: % 185.08/126.22 | (10037) all_407_0_1178 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.08/126.22 | % 185.08/126.22 | Applying alpha-rule on (10037) yields: % 185.08/126.22 | (10038) all_407_0_1178 = 0 % 185.08/126.22 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.08/126.22 | (501) all_226_1_115 = all_0_3_3 % 185.08/126.22 | % 185.08/126.22 | From (501) and (287) follows: % 185.08/126.22 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.08/126.22 | (288) all_181_0_102 = 0 % 185.08/126.22 | % 185.08/126.22 | Equations (288) can reduce 258 to: % 185.08/126.22 | (173) $false % 185.08/126.22 | % 185.08/126.22 |-The branch is then unsatisfiable % 185.08/126.22 |-Branch two: % 185.08/126.22 | (10044) all_407_0_1178 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.08/126.22 | % 185.08/126.22 | Applying alpha-rule on (10044) yields: % 185.08/126.22 | (10038) all_407_0_1178 = 0 % 185.08/126.22 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.08/126.22 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.08/126.22 | % 185.08/126.22 | Instantiating (508) with all_461_0_1197 yields: % 185.08/126.22 | (10235) (all_461_0_1197 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_1197 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.08/126.22 | % 185.08/126.22 +-Applying beta-rule and splitting (10218), into two cases. % 185.08/126.22 |-Branch one: % 185.08/126.22 | (10236) all_442_0_1196 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.08/126.22 | % 185.08/126.22 | Applying alpha-rule on (10236) yields: % 185.08/126.22 | (10237) all_442_0_1196 = 0 % 185.08/126.22 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.08/126.22 | (405) all_135_1_90 = all_0_6_6 % 185.08/126.22 | % 185.08/126.22 | From (405) and (231) follows: % 185.08/126.22 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.08/126.22 | % 185.08/126.22 +-Applying beta-rule and splitting (10235), into two cases. % 185.08/126.22 |-Branch one: % 185.08/126.22 | (10241) all_461_0_1197 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.08/126.22 | % 185.08/126.22 | Applying alpha-rule on (10241) yields: % 185.08/126.22 | (10242) all_461_0_1197 = 0 % 185.08/126.22 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.08/126.22 | (525) all_226_1_115 = all_0_6_6 % 185.08/126.22 | % 185.08/126.22 | From (525) and (295) follows: % 185.08/126.22 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.08/126.22 | (261) all_135_0_89 = 0 % 185.08/126.22 | % 185.08/126.22 | Equations (261) can reduce 230 to: % 185.08/126.22 | (173) $false % 185.08/126.22 | % 185.08/126.22 |-The branch is then unsatisfiable % 185.08/126.22 |-Branch two: % 185.08/126.22 | (10248) all_461_0_1197 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.08/126.22 | % 185.08/126.22 | Applying alpha-rule on (10248) yields: % 185.08/126.22 | (10242) all_461_0_1197 = 0 % 185.08/126.22 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.08/126.22 | (532) all_226_1_115 = all_0_9_9 % 185.08/126.22 | % 185.08/126.22 | From (532) and (308) follows: % 185.08/126.22 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.08/126.22 | (212) all_85_0_75 = 0 % 185.08/126.22 | % 185.08/126.22 | Equations (212) can reduce 181 to: % 185.08/126.22 | (173) $false % 185.08/126.22 | % 185.08/126.22 |-The branch is then unsatisfiable % 185.08/126.22 |-Branch two: % 185.08/126.22 | (10255) all_442_0_1196 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.08/126.22 | % 185.08/126.22 | Applying alpha-rule on (10255) yields: % 185.08/126.22 | (10237) all_442_0_1196 = 0 % 185.08/126.22 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.08/126.22 | % 185.08/126.22 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.08/126.23 | (412) all_135_1_90 = all_0_9_9 % 185.08/126.23 | % 185.08/126.23 | From (412) and (241) follows: % 185.08/126.23 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.08/126.23 | % 185.08/126.23 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.08/126.23 | (212) all_85_0_75 = 0 % 185.08/126.23 | % 185.08/126.23 | Equations (212) can reduce 181 to: % 185.08/126.23 | (173) $false % 185.08/126.23 | % 185.08/126.23 |-The branch is then unsatisfiable % 185.08/126.23 |-Branch two: % 185.08/126.23 | (10032) all_399_0_1177 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.08/126.23 | % 185.08/126.23 | Applying alpha-rule on (10032) yields: % 185.08/126.23 | (10026) all_399_0_1177 = 0 % 185.08/126.23 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.08/126.23 | % 185.08/126.23 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.08/126.23 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.08/126.23 | % 185.08/126.23 | Instantiating (400) with all_450_0_1200 yields: % 185.08/126.23 | (10266) (all_450_0_1200 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_450_0_1200 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.08/126.23 | % 185.08/126.23 +-Applying beta-rule and splitting (10218), into two cases. % 185.08/126.23 |-Branch one: % 185.08/126.23 | (10236) all_442_0_1196 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.08/126.23 | % 185.08/126.23 | Applying alpha-rule on (10236) yields: % 185.08/126.23 | (10237) all_442_0_1196 = 0 % 185.08/126.23 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.08/126.23 | % 185.08/126.23 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.08/126.23 | (405) all_135_1_90 = all_0_6_6 % 185.08/126.23 | % 185.08/126.23 | From (405) and (231) follows: % 185.08/126.23 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.08/126.23 | % 185.08/126.23 +-Applying beta-rule and splitting (10266), into two cases. % 185.08/126.23 |-Branch one: % 185.08/126.23 | (10272) all_450_0_1200 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.08/126.23 | % 185.08/126.23 | Applying alpha-rule on (10272) yields: % 185.08/126.23 | (10273) all_450_0_1200 = 0 % 185.08/126.23 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.08/126.23 | % 185.08/126.23 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.08/126.23 | (417) all_181_1_103 = all_0_6_6 % 185.08/126.23 | % 185.08/126.23 | From (417) and (260) follows: % 185.08/126.23 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.08/126.23 | % 185.08/126.23 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.08/126.23 | (261) all_135_0_89 = 0 % 185.08/126.23 | % 185.08/126.23 | Equations (261) can reduce 230 to: % 185.08/126.23 | (173) $false % 185.08/126.23 | % 185.08/126.23 |-The branch is then unsatisfiable % 185.08/126.23 |-Branch two: % 185.08/126.23 | (10279) all_450_0_1200 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.08/126.23 | % 185.08/126.23 | Applying alpha-rule on (10279) yields: % 185.12/126.23 | (10273) all_450_0_1200 = 0 % 185.12/126.23 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.12/126.23 | % 185.12/126.23 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.12/126.23 | (424) all_181_1_103 = all_0_9_9 % 185.12/126.23 | % 185.12/126.23 | From (424) and (297) follows: % 185.12/126.23 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.12/126.23 | % 185.12/126.23 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.12/126.23 | (212) all_85_0_75 = 0 % 185.12/126.23 | % 185.12/126.23 | Equations (212) can reduce 181 to: % 185.12/126.23 | (173) $false % 185.12/126.23 | % 185.12/126.23 |-The branch is then unsatisfiable % 185.12/126.23 |-Branch two: % 185.12/126.23 | (10255) all_442_0_1196 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.23 | % 185.12/126.23 | Applying alpha-rule on (10255) yields: % 185.12/126.23 | (10237) all_442_0_1196 = 0 % 185.12/126.23 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.23 | % 185.12/126.23 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.12/126.23 | (412) all_135_1_90 = all_0_9_9 % 185.12/126.23 | % 185.12/126.23 | From (412) and (241) follows: % 185.12/126.23 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.12/126.23 | % 185.12/126.23 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.12/126.23 | (212) all_85_0_75 = 0 % 185.12/126.23 | % 185.12/126.23 | Equations (212) can reduce 181 to: % 185.12/126.23 | (173) $false % 185.12/126.23 | % 185.12/126.23 |-The branch is then unsatisfiable % 185.12/126.23 |-Branch two: % 185.12/126.23 | (9614) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.12/126.23 | % 185.12/126.23 | Applying alpha-rule on (9614) yields: % 185.12/126.23 | (9512) all_359_0_1141 = 0 % 185.12/126.23 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.12/126.23 | % 185.12/126.23 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.12/126.23 | (582) all_226_1_115 = all_0_5_5 % 185.12/126.23 | % 185.12/126.23 | From (582) and (286) follows: % 185.12/126.23 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 185.12/126.23 | % 185.12/126.23 +-Applying beta-rule and splitting (9495), into two cases. % 185.12/126.23 |-Branch one: % 185.12/126.23 | (9619) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.12/126.23 | % 185.12/126.23 | Applying alpha-rule on (9619) yields: % 185.12/126.23 | (9620) all_367_0_1142 = 0 % 185.12/126.23 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.12/126.23 | % 185.12/126.23 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.12/126.23 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.12/126.23 | % 185.12/126.23 | Instantiating (1787) with all_418_0_1203 yields: % 185.12/126.23 | (10302) (all_418_0_1203 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_1203 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.12/126.23 | % 185.12/126.23 +-Applying beta-rule and splitting (9999), into two cases. % 185.12/126.23 |-Branch one: % 185.12/126.23 | (10015) all_383_0_1175 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 185.12/126.23 | % 185.12/126.23 | Applying alpha-rule on (10015) yields: % 185.12/126.24 | (10016) all_383_0_1175 = 0 % 185.12/126.24 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 185.12/126.24 | (760) all_85_1_76 = all_0_6_6 % 185.12/126.24 | % 185.12/126.24 | From (760) and (182) follows: % 185.12/126.24 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 185.12/126.24 | % 185.12/126.24 +-Applying beta-rule and splitting (10004), into two cases. % 185.12/126.24 |-Branch one: % 185.12/126.24 | (10020) all_391_0_1176 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.12/126.24 | % 185.12/126.24 | Applying alpha-rule on (10020) yields: % 185.12/126.24 | (10021) all_391_0_1176 = 0 % 185.12/126.24 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.12/126.24 | (376) all_135_1_90 = all_0_3_3 % 185.12/126.24 | % 185.12/126.24 | From (376) and (231) follows: % 185.12/126.24 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.12/126.24 | % 185.12/126.24 +-Applying beta-rule and splitting (10009), into two cases. % 185.12/126.24 |-Branch one: % 185.12/126.24 | (10025) all_399_0_1177 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.12/126.24 | % 185.12/126.24 | Applying alpha-rule on (10025) yields: % 185.12/126.24 | (10026) all_399_0_1177 = 0 % 185.12/126.24 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.12/126.24 | (393) all_181_1_103 = all_0_3_3 % 185.12/126.24 | % 185.12/126.24 | From (393) and (260) follows: % 185.12/126.24 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.12/126.24 | (261) all_135_0_89 = 0 % 185.12/126.24 | % 185.12/126.24 | Equations (261) can reduce 230 to: % 185.12/126.24 | (173) $false % 185.12/126.24 | % 185.12/126.24 |-The branch is then unsatisfiable % 185.12/126.24 |-Branch two: % 185.12/126.24 | (10032) all_399_0_1177 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.12/126.24 | % 185.12/126.24 | Applying alpha-rule on (10032) yields: % 185.12/126.24 | (10026) all_399_0_1177 = 0 % 185.12/126.24 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.12/126.24 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.12/126.24 | % 185.12/126.24 | Instantiating (400) with all_456_0_1205 yields: % 185.12/126.24 | (10324) (all_456_0_1205 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_1205 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.12/126.24 | % 185.12/126.24 +-Applying beta-rule and splitting (10302), into two cases. % 185.12/126.24 |-Branch one: % 185.12/126.24 | (10325) all_418_0_1203 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.24 | % 185.12/126.24 | Applying alpha-rule on (10325) yields: % 185.12/126.24 | (10326) all_418_0_1203 = 0 % 185.12/126.24 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.12/126.24 | (1809) all_205_2_109 = all_0_3_3 % 185.12/126.24 | % 185.12/126.24 | From (1809) and (303) follows: % 185.12/126.24 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.12/126.24 | (261) all_135_0_89 = 0 % 185.12/126.24 | % 185.12/126.24 | Equations (261) can reduce 230 to: % 185.12/126.24 | (173) $false % 185.12/126.24 | % 185.12/126.24 |-The branch is then unsatisfiable % 185.12/126.24 |-Branch two: % 185.12/126.24 | (10332) all_418_0_1203 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.24 | % 185.12/126.24 | Applying alpha-rule on (10332) yields: % 185.12/126.24 | (10326) all_418_0_1203 = 0 % 185.12/126.24 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.12/126.24 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.12/126.24 | % 185.12/126.24 | Instantiating (1816) with all_464_0_1206 yields: % 185.12/126.24 | (10336) (all_464_0_1206 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1206 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.12/126.24 | % 185.12/126.24 +-Applying beta-rule and splitting (10324), into two cases. % 185.12/126.24 |-Branch one: % 185.12/126.24 | (10337) all_456_0_1205 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.12/126.24 | % 185.12/126.24 | Applying alpha-rule on (10337) yields: % 185.12/126.24 | (10338) all_456_0_1205 = 0 % 185.12/126.24 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.12/126.24 | (417) all_181_1_103 = all_0_6_6 % 185.12/126.24 | % 185.12/126.24 | From (417) and (297) follows: % 185.12/126.24 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.12/126.24 | (212) all_85_0_75 = 0 % 185.12/126.24 | % 185.12/126.24 | Equations (212) can reduce 181 to: % 185.12/126.24 | (173) $false % 185.12/126.24 | % 185.12/126.24 |-The branch is then unsatisfiable % 185.12/126.24 |-Branch two: % 185.12/126.24 | (10344) all_456_0_1205 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.12/126.24 | % 185.12/126.24 | Applying alpha-rule on (10344) yields: % 185.12/126.24 | (10338) all_456_0_1205 = 0 % 185.12/126.24 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.12/126.24 | (424) all_181_1_103 = all_0_9_9 % 185.12/126.24 | % 185.12/126.24 | From (424) and (259) follows: % 185.12/126.24 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.12/126.24 | % 185.12/126.24 +-Applying beta-rule and splitting (10336), into two cases. % 185.12/126.24 |-Branch one: % 185.12/126.24 | (10349) all_464_0_1206 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.24 | % 185.12/126.24 | Applying alpha-rule on (10349) yields: % 185.12/126.24 | (10350) all_464_0_1206 = 0 % 185.12/126.24 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.12/126.24 | (1833) all_205_2_109 = all_0_6_6 % 185.12/126.24 | % 185.12/126.24 | From (1833) and (315) follows: % 185.12/126.24 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.12/126.24 | % 185.12/126.24 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.12/126.24 | (212) all_85_0_75 = 0 % 185.12/126.24 | % 185.12/126.24 | Equations (212) can reduce 181 to: % 185.12/126.24 | (173) $false % 185.12/126.24 | % 185.12/126.24 |-The branch is then unsatisfiable % 185.12/126.24 |-Branch two: % 185.12/126.24 | (10356) all_464_0_1206 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.24 | % 185.12/126.24 | Applying alpha-rule on (10356) yields: % 185.12/126.25 | (10350) all_464_0_1206 = 0 % 185.12/126.25 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.12/126.25 | (1840) all_205_2_109 = all_0_9_9 % 185.12/126.25 | % 185.12/126.25 | From (1840) and (296) follows: % 185.12/126.25 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.12/126.25 | (288) all_181_0_102 = 0 % 185.12/126.25 | % 185.12/126.25 | Equations (288) can reduce 258 to: % 185.12/126.25 | (173) $false % 185.12/126.25 | % 185.12/126.25 |-The branch is then unsatisfiable % 185.12/126.25 |-Branch two: % 185.12/126.25 | (10075) all_391_0_1176 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.12/126.25 | % 185.12/126.25 | Applying alpha-rule on (10075) yields: % 185.12/126.25 | (10021) all_391_0_1176 = 0 % 185.12/126.25 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.12/126.25 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.12/126.25 | % 185.12/126.25 | Instantiating (383) with all_445_0_1208 yields: % 185.12/126.25 | (10367) (all_445_0_1208 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_1208 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.12/126.25 | % 185.12/126.25 +-Applying beta-rule and splitting (10009), into two cases. % 185.12/126.25 |-Branch one: % 185.12/126.25 | (10025) all_399_0_1177 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.12/126.25 | % 185.12/126.25 | Applying alpha-rule on (10025) yields: % 185.12/126.25 | (10026) all_399_0_1177 = 0 % 185.12/126.25 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.12/126.25 | (393) all_181_1_103 = all_0_3_3 % 185.12/126.25 | % 185.12/126.25 | From (393) and (259) follows: % 185.12/126.25 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.12/126.25 | % 185.12/126.25 +-Applying beta-rule and splitting (10302), into two cases. % 185.12/126.25 |-Branch one: % 185.12/126.25 | (10325) all_418_0_1203 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.25 | % 185.12/126.25 | Applying alpha-rule on (10325) yields: % 185.12/126.25 | (10326) all_418_0_1203 = 0 % 185.12/126.25 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.12/126.25 | (1809) all_205_2_109 = all_0_3_3 % 185.12/126.25 | % 185.12/126.25 | From (1809) and (296) follows: % 185.12/126.25 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.12/126.25 | (288) all_181_0_102 = 0 % 185.12/126.25 | % 185.12/126.25 | Equations (288) can reduce 258 to: % 185.12/126.25 | (173) $false % 185.12/126.25 | % 185.12/126.25 |-The branch is then unsatisfiable % 185.12/126.25 |-Branch two: % 185.12/126.25 | (10332) all_418_0_1203 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.25 | % 185.12/126.25 | Applying alpha-rule on (10332) yields: % 185.12/126.25 | (10326) all_418_0_1203 = 0 % 185.12/126.25 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.12/126.25 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.12/126.25 | % 185.12/126.25 | Instantiating (1816) with all_464_0_1209 yields: % 185.12/126.25 | (10384) (all_464_0_1209 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1209 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.12/126.25 | % 185.12/126.25 +-Applying beta-rule and splitting (10367), into two cases. % 185.12/126.25 |-Branch one: % 185.12/126.25 | (10385) all_445_0_1208 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.25 | % 185.12/126.25 | Applying alpha-rule on (10385) yields: % 185.12/126.25 | (10386) all_445_0_1208 = 0 % 185.12/126.25 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.12/126.25 | (405) all_135_1_90 = all_0_6_6 % 185.12/126.25 | % 185.12/126.25 | From (405) and (241) follows: % 185.12/126.25 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.12/126.25 | (212) all_85_0_75 = 0 % 185.12/126.25 | % 185.12/126.25 | Equations (212) can reduce 181 to: % 185.12/126.25 | (173) $false % 185.12/126.25 | % 185.12/126.25 |-The branch is then unsatisfiable % 185.12/126.25 |-Branch two: % 185.12/126.25 | (10392) all_445_0_1208 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.25 | % 185.12/126.25 | Applying alpha-rule on (10392) yields: % 185.12/126.25 | (10386) all_445_0_1208 = 0 % 185.12/126.25 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.12/126.25 | (412) all_135_1_90 = all_0_9_9 % 185.12/126.25 | % 185.12/126.25 | From (412) and (231) follows: % 185.12/126.25 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.12/126.25 | % 185.12/126.25 +-Applying beta-rule and splitting (10384), into two cases. % 185.12/126.25 |-Branch one: % 185.12/126.25 | (10397) all_464_0_1209 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.25 | % 185.12/126.25 | Applying alpha-rule on (10397) yields: % 185.12/126.25 | (10398) all_464_0_1209 = 0 % 185.12/126.25 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.12/126.25 | (1833) all_205_2_109 = all_0_6_6 % 185.12/126.25 | % 185.12/126.25 | From (1833) and (315) follows: % 185.12/126.25 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.12/126.25 | (212) all_85_0_75 = 0 % 185.12/126.25 | % 185.12/126.25 | Equations (212) can reduce 181 to: % 185.12/126.25 | (173) $false % 185.12/126.25 | % 185.12/126.25 |-The branch is then unsatisfiable % 185.12/126.25 |-Branch two: % 185.12/126.25 | (10404) all_464_0_1209 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.25 | % 185.12/126.25 | Applying alpha-rule on (10404) yields: % 185.12/126.25 | (10398) all_464_0_1209 = 0 % 185.12/126.25 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.12/126.25 | (1840) all_205_2_109 = all_0_9_9 % 185.12/126.25 | % 185.12/126.25 | From (1840) and (303) follows: % 185.12/126.25 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.12/126.25 | % 185.12/126.25 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.12/126.25 | (261) all_135_0_89 = 0 % 185.12/126.25 | % 185.12/126.25 | Equations (261) can reduce 230 to: % 185.12/126.26 | (173) $false % 185.12/126.26 | % 185.12/126.26 |-The branch is then unsatisfiable % 185.12/126.26 |-Branch two: % 185.12/126.26 | (10032) all_399_0_1177 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.12/126.26 | % 185.12/126.26 | Applying alpha-rule on (10032) yields: % 185.12/126.26 | (10026) all_399_0_1177 = 0 % 185.12/126.26 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.12/126.26 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.12/126.26 | % 185.12/126.26 | Instantiating (400) with all_453_0_1211 yields: % 185.12/126.26 | (10415) (all_453_0_1211 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_1211 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.12/126.26 | % 185.12/126.26 +-Applying beta-rule and splitting (10367), into two cases. % 185.12/126.26 |-Branch one: % 185.12/126.26 | (10385) all_445_0_1208 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.26 | % 185.12/126.26 | Applying alpha-rule on (10385) yields: % 185.12/126.26 | (10386) all_445_0_1208 = 0 % 185.12/126.26 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.12/126.26 | (405) all_135_1_90 = all_0_6_6 % 185.12/126.26 | % 185.12/126.26 | From (405) and (241) follows: % 185.12/126.26 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.12/126.26 | (212) all_85_0_75 = 0 % 185.12/126.26 | % 185.12/126.26 | Equations (212) can reduce 181 to: % 185.12/126.26 | (173) $false % 185.12/126.26 | % 185.12/126.26 |-The branch is then unsatisfiable % 185.12/126.26 |-Branch two: % 185.12/126.26 | (10392) all_445_0_1208 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.26 | % 185.12/126.26 | Applying alpha-rule on (10392) yields: % 185.12/126.26 | (10386) all_445_0_1208 = 0 % 185.12/126.26 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.12/126.26 | (412) all_135_1_90 = all_0_9_9 % 185.12/126.26 | % 185.12/126.26 | From (412) and (231) follows: % 185.12/126.26 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.12/126.26 | % 185.12/126.26 +-Applying beta-rule and splitting (10415), into two cases. % 185.12/126.26 |-Branch one: % 185.12/126.26 | (10428) all_453_0_1211 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.12/126.26 | % 185.12/126.26 | Applying alpha-rule on (10428) yields: % 185.12/126.26 | (10429) all_453_0_1211 = 0 % 185.12/126.26 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.12/126.26 | (417) all_181_1_103 = all_0_6_6 % 185.12/126.26 | % 185.12/126.26 | From (417) and (297) follows: % 185.12/126.26 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.12/126.26 | (212) all_85_0_75 = 0 % 185.12/126.26 | % 185.12/126.26 | Equations (212) can reduce 181 to: % 185.12/126.26 | (173) $false % 185.12/126.26 | % 185.12/126.26 |-The branch is then unsatisfiable % 185.12/126.26 |-Branch two: % 185.12/126.26 | (10435) all_453_0_1211 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.12/126.26 | % 185.12/126.26 | Applying alpha-rule on (10435) yields: % 185.12/126.26 | (10429) all_453_0_1211 = 0 % 185.12/126.26 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.12/126.26 | (424) all_181_1_103 = all_0_9_9 % 185.12/126.26 | % 185.12/126.26 | From (424) and (260) follows: % 185.12/126.26 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.12/126.26 | (261) all_135_0_89 = 0 % 185.12/126.26 | % 185.12/126.26 | Equations (261) can reduce 230 to: % 185.12/126.26 | (173) $false % 185.12/126.26 | % 185.12/126.26 |-The branch is then unsatisfiable % 185.12/126.26 |-Branch two: % 185.12/126.26 | (10154) all_383_0_1175 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 185.12/126.26 | % 185.12/126.26 | Applying alpha-rule on (10154) yields: % 185.12/126.26 | (10016) all_383_0_1175 = 0 % 185.12/126.26 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 185.12/126.26 | (815) all_85_1_76 = all_0_9_9 % 185.12/126.26 | % 185.12/126.26 | From (815) and (182) follows: % 185.12/126.26 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 185.12/126.26 | % 185.12/126.26 +-Applying beta-rule and splitting (10004), into two cases. % 185.12/126.26 |-Branch one: % 185.12/126.26 | (10020) all_391_0_1176 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.12/126.26 | % 185.12/126.26 | Applying alpha-rule on (10020) yields: % 185.12/126.26 | (10021) all_391_0_1176 = 0 % 185.12/126.26 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.12/126.26 | (376) all_135_1_90 = all_0_3_3 % 185.12/126.26 | % 185.12/126.26 | From (376) and (231) follows: % 185.12/126.26 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.12/126.26 | % 185.12/126.26 +-Applying beta-rule and splitting (10009), into two cases. % 185.12/126.26 |-Branch one: % 185.12/126.26 | (10025) all_399_0_1177 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.12/126.26 | % 185.12/126.26 | Applying alpha-rule on (10025) yields: % 185.12/126.26 | (10026) all_399_0_1177 = 0 % 185.12/126.26 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.12/126.26 | (393) all_181_1_103 = all_0_3_3 % 185.12/126.26 | % 185.12/126.26 | From (393) and (260) follows: % 185.12/126.26 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.12/126.26 | % 185.12/126.26 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.12/126.26 | (261) all_135_0_89 = 0 % 185.12/126.27 | % 185.12/126.27 | Equations (261) can reduce 230 to: % 185.12/126.27 | (173) $false % 185.12/126.27 | % 185.12/126.27 |-The branch is then unsatisfiable % 185.12/126.27 |-Branch two: % 185.12/126.27 | (10032) all_399_0_1177 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.12/126.27 | % 185.12/126.27 | Applying alpha-rule on (10032) yields: % 185.12/126.27 | (10026) all_399_0_1177 = 0 % 185.12/126.27 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.12/126.27 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.12/126.27 | % 185.12/126.27 | Instantiating (400) with all_456_0_1225 yields: % 185.12/126.27 | (10463) (all_456_0_1225 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_1225 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.12/126.27 | % 185.12/126.27 +-Applying beta-rule and splitting (10302), into two cases. % 185.12/126.27 |-Branch one: % 185.12/126.27 | (10325) all_418_0_1203 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.27 | % 185.12/126.27 | Applying alpha-rule on (10325) yields: % 185.12/126.27 | (10326) all_418_0_1203 = 0 % 185.12/126.27 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.12/126.27 | (1809) all_205_2_109 = all_0_3_3 % 185.12/126.27 | % 185.12/126.27 | From (1809) and (303) follows: % 185.12/126.27 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.12/126.27 | (261) all_135_0_89 = 0 % 185.12/126.27 | % 185.12/126.27 | Equations (261) can reduce 230 to: % 185.12/126.27 | (173) $false % 185.12/126.27 | % 185.12/126.27 |-The branch is then unsatisfiable % 185.12/126.27 |-Branch two: % 185.12/126.27 | (10332) all_418_0_1203 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.27 | % 185.12/126.27 | Applying alpha-rule on (10332) yields: % 185.12/126.27 | (10326) all_418_0_1203 = 0 % 185.12/126.27 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.12/126.27 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.12/126.27 | % 185.12/126.27 | Instantiating (1816) with all_464_0_1226 yields: % 185.12/126.27 | (10475) (all_464_0_1226 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1226 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.12/126.27 | % 185.12/126.27 +-Applying beta-rule and splitting (10463), into two cases. % 185.12/126.27 |-Branch one: % 185.12/126.27 | (10476) all_456_0_1225 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.12/126.27 | % 185.12/126.27 | Applying alpha-rule on (10476) yields: % 185.12/126.27 | (10477) all_456_0_1225 = 0 % 185.12/126.27 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.12/126.27 | (417) all_181_1_103 = all_0_6_6 % 185.12/126.27 | % 185.12/126.27 | From (417) and (259) follows: % 185.12/126.27 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.12/126.27 | % 185.12/126.27 +-Applying beta-rule and splitting (10475), into two cases. % 185.12/126.27 |-Branch one: % 185.12/126.27 | (10481) all_464_0_1226 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.27 | % 185.12/126.27 | Applying alpha-rule on (10481) yields: % 185.12/126.27 | (10482) all_464_0_1226 = 0 % 185.12/126.27 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.12/126.27 | (1833) all_205_2_109 = all_0_6_6 % 185.12/126.27 | % 185.12/126.27 | From (1833) and (296) follows: % 185.12/126.27 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.12/126.27 | (288) all_181_0_102 = 0 % 185.12/126.27 | % 185.12/126.27 | Equations (288) can reduce 258 to: % 185.12/126.27 | (173) $false % 185.12/126.27 | % 185.12/126.27 |-The branch is then unsatisfiable % 185.12/126.27 |-Branch two: % 185.12/126.27 | (10488) all_464_0_1226 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.27 | % 185.12/126.27 | Applying alpha-rule on (10488) yields: % 185.12/126.27 | (10482) all_464_0_1226 = 0 % 185.12/126.27 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.12/126.27 | (1840) all_205_2_109 = all_0_9_9 % 185.12/126.27 | % 185.12/126.27 | From (1840) and (315) follows: % 185.12/126.27 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.12/126.27 | (212) all_85_0_75 = 0 % 185.12/126.27 | % 185.12/126.27 | Equations (212) can reduce 181 to: % 185.12/126.27 | (173) $false % 185.12/126.27 | % 185.12/126.27 |-The branch is then unsatisfiable % 185.12/126.27 |-Branch two: % 185.12/126.27 | (10495) all_456_0_1225 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.12/126.27 | % 185.12/126.27 | Applying alpha-rule on (10495) yields: % 185.12/126.27 | (10477) all_456_0_1225 = 0 % 185.12/126.27 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.12/126.27 | (424) all_181_1_103 = all_0_9_9 % 185.12/126.27 | % 185.12/126.27 | From (424) and (297) follows: % 185.12/126.27 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.12/126.27 | (212) all_85_0_75 = 0 % 185.12/126.27 | % 185.12/126.27 | Equations (212) can reduce 181 to: % 185.12/126.27 | (173) $false % 185.12/126.27 | % 185.12/126.27 |-The branch is then unsatisfiable % 185.12/126.27 |-Branch two: % 185.12/126.27 | (10075) all_391_0_1176 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.12/126.27 | % 185.12/126.27 | Applying alpha-rule on (10075) yields: % 185.12/126.27 | (10021) all_391_0_1176 = 0 % 185.12/126.27 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.12/126.27 | % 185.12/126.27 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.12/126.27 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.12/126.27 | % 185.12/126.27 | Instantiating (383) with all_445_0_1228 yields: % 185.12/126.27 | (10506) (all_445_0_1228 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_1228 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.12/126.27 | % 185.12/126.28 +-Applying beta-rule and splitting (10009), into two cases. % 185.12/126.28 |-Branch one: % 185.12/126.28 | (10025) all_399_0_1177 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.12/126.28 | % 185.12/126.28 | Applying alpha-rule on (10025) yields: % 185.12/126.28 | (10026) all_399_0_1177 = 0 % 185.12/126.28 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.12/126.28 | (393) all_181_1_103 = all_0_3_3 % 185.12/126.28 | % 185.12/126.28 | From (393) and (259) follows: % 185.12/126.28 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.12/126.28 | % 185.12/126.28 +-Applying beta-rule and splitting (10302), into two cases. % 185.12/126.28 |-Branch one: % 185.12/126.28 | (10325) all_418_0_1203 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.28 | % 185.12/126.28 | Applying alpha-rule on (10325) yields: % 185.12/126.28 | (10326) all_418_0_1203 = 0 % 185.12/126.28 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.12/126.28 | (1809) all_205_2_109 = all_0_3_3 % 185.12/126.28 | % 185.12/126.28 | From (1809) and (296) follows: % 185.12/126.28 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.12/126.28 | (288) all_181_0_102 = 0 % 185.12/126.28 | % 185.12/126.28 | Equations (288) can reduce 258 to: % 185.12/126.28 | (173) $false % 185.12/126.28 | % 185.12/126.28 |-The branch is then unsatisfiable % 185.12/126.28 |-Branch two: % 185.12/126.28 | (10332) all_418_0_1203 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.28 | % 185.12/126.28 | Applying alpha-rule on (10332) yields: % 185.12/126.28 | (10326) all_418_0_1203 = 0 % 185.12/126.28 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.12/126.28 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.12/126.28 | % 185.12/126.28 | Instantiating (1816) with all_464_0_1229 yields: % 185.12/126.28 | (10523) (all_464_0_1229 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1229 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.12/126.28 | % 185.12/126.28 +-Applying beta-rule and splitting (10506), into two cases. % 185.12/126.28 |-Branch one: % 185.12/126.28 | (10524) all_445_0_1228 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.28 | % 185.12/126.28 | Applying alpha-rule on (10524) yields: % 185.12/126.28 | (10525) all_445_0_1228 = 0 % 185.12/126.28 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.12/126.28 | (405) all_135_1_90 = all_0_6_6 % 185.12/126.28 | % 185.12/126.28 | From (405) and (231) follows: % 185.12/126.28 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.12/126.28 | % 185.12/126.28 +-Applying beta-rule and splitting (10523), into two cases. % 185.12/126.28 |-Branch one: % 185.12/126.28 | (10529) all_464_0_1229 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.28 | % 185.12/126.28 | Applying alpha-rule on (10529) yields: % 185.12/126.28 | (10530) all_464_0_1229 = 0 % 185.12/126.28 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.12/126.28 | (1833) all_205_2_109 = all_0_6_6 % 185.12/126.28 | % 185.12/126.28 | From (1833) and (303) follows: % 185.12/126.28 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.12/126.28 | (261) all_135_0_89 = 0 % 185.12/126.28 | % 185.12/126.28 | Equations (261) can reduce 230 to: % 185.12/126.28 | (173) $false % 185.12/126.28 | % 185.12/126.28 |-The branch is then unsatisfiable % 185.12/126.28 |-Branch two: % 185.12/126.28 | (10536) all_464_0_1229 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.28 | % 185.12/126.28 | Applying alpha-rule on (10536) yields: % 185.12/126.28 | (10530) all_464_0_1229 = 0 % 185.12/126.28 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.12/126.28 | (1840) all_205_2_109 = all_0_9_9 % 185.12/126.28 | % 185.12/126.28 | From (1840) and (315) follows: % 185.12/126.28 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.12/126.28 | (212) all_85_0_75 = 0 % 185.12/126.28 | % 185.12/126.28 | Equations (212) can reduce 181 to: % 185.12/126.28 | (173) $false % 185.12/126.28 | % 185.12/126.28 |-The branch is then unsatisfiable % 185.12/126.28 |-Branch two: % 185.12/126.28 | (10543) all_445_0_1228 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.28 | % 185.12/126.28 | Applying alpha-rule on (10543) yields: % 185.12/126.28 | (10525) all_445_0_1228 = 0 % 185.12/126.28 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.12/126.28 | (412) all_135_1_90 = all_0_9_9 % 185.12/126.28 | % 185.12/126.28 | From (412) and (241) follows: % 185.12/126.28 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.12/126.28 | (212) all_85_0_75 = 0 % 185.12/126.28 | % 185.12/126.28 | Equations (212) can reduce 181 to: % 185.12/126.28 | (173) $false % 185.12/126.28 | % 185.12/126.28 |-The branch is then unsatisfiable % 185.12/126.28 |-Branch two: % 185.12/126.28 | (10032) all_399_0_1177 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.12/126.28 | % 185.12/126.28 | Applying alpha-rule on (10032) yields: % 185.12/126.28 | (10026) all_399_0_1177 = 0 % 185.12/126.28 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.12/126.28 | % 185.12/126.28 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.12/126.28 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.12/126.28 | % 185.12/126.28 | Instantiating (400) with all_453_0_1231 yields: % 185.12/126.28 | (10554) (all_453_0_1231 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_1231 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.12/126.28 | % 185.12/126.28 +-Applying beta-rule and splitting (10506), into two cases. % 185.12/126.28 |-Branch one: % 185.12/126.29 | (10524) all_445_0_1228 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.29 | % 185.12/126.29 | Applying alpha-rule on (10524) yields: % 185.12/126.29 | (10525) all_445_0_1228 = 0 % 185.12/126.29 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.12/126.29 | (405) all_135_1_90 = all_0_6_6 % 185.12/126.29 | % 185.12/126.29 | From (405) and (231) follows: % 185.12/126.29 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.12/126.29 | % 185.12/126.29 +-Applying beta-rule and splitting (10554), into two cases. % 185.12/126.29 |-Branch one: % 185.12/126.29 | (10560) all_453_0_1231 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.12/126.29 | % 185.12/126.29 | Applying alpha-rule on (10560) yields: % 185.12/126.29 | (10561) all_453_0_1231 = 0 % 185.12/126.29 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.12/126.29 | (417) all_181_1_103 = all_0_6_6 % 185.12/126.29 | % 185.12/126.29 | From (417) and (260) follows: % 185.12/126.29 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.12/126.29 | (261) all_135_0_89 = 0 % 185.12/126.29 | % 185.12/126.29 | Equations (261) can reduce 230 to: % 185.12/126.29 | (173) $false % 185.12/126.29 | % 185.12/126.29 |-The branch is then unsatisfiable % 185.12/126.29 |-Branch two: % 185.12/126.29 | (10567) all_453_0_1231 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.12/126.29 | % 185.12/126.29 | Applying alpha-rule on (10567) yields: % 185.12/126.29 | (10561) all_453_0_1231 = 0 % 185.12/126.29 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.12/126.29 | (424) all_181_1_103 = all_0_9_9 % 185.12/126.29 | % 185.12/126.29 | From (424) and (297) follows: % 185.12/126.29 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.12/126.29 | (212) all_85_0_75 = 0 % 185.12/126.29 | % 185.12/126.29 | Equations (212) can reduce 181 to: % 185.12/126.29 | (173) $false % 185.12/126.29 | % 185.12/126.29 |-The branch is then unsatisfiable % 185.12/126.29 |-Branch two: % 185.12/126.29 | (10543) all_445_0_1228 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.29 | % 185.12/126.29 | Applying alpha-rule on (10543) yields: % 185.12/126.29 | (10525) all_445_0_1228 = 0 % 185.12/126.29 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.12/126.29 | (412) all_135_1_90 = all_0_9_9 % 185.12/126.29 | % 185.12/126.29 | From (412) and (241) follows: % 185.12/126.29 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.12/126.29 | (212) all_85_0_75 = 0 % 185.12/126.29 | % 185.12/126.29 | Equations (212) can reduce 181 to: % 185.12/126.29 | (173) $false % 185.12/126.29 | % 185.12/126.29 |-The branch is then unsatisfiable % 185.12/126.29 |-Branch two: % 185.12/126.29 | (9722) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.12/126.29 | % 185.12/126.29 | Applying alpha-rule on (9722) yields: % 185.12/126.29 | (9620) all_367_0_1142 = 0 % 185.12/126.29 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.12/126.29 | (1890) all_205_2_109 = all_0_5_5 % 185.12/126.29 | % 185.12/126.29 | From (1890) and (275) follows: % 185.12/126.29 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 185.12/126.29 | (2957) all_226_0_114 = 0 % 185.12/126.29 | % 185.12/126.29 | Equations (2957) can reduce 285 to: % 185.12/126.29 | (173) $false % 185.12/126.29 | % 185.12/126.29 |-The branch is then unsatisfiable % 185.12/126.29 |-Branch two: % 185.12/126.29 | (9729) all_351_0_1140 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 185.12/126.29 | % 185.12/126.29 | Applying alpha-rule on (9729) yields: % 185.12/126.29 | (9507) all_351_0_1140 = 0 % 185.12/126.29 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 185.12/126.29 | (474) all_181_1_103 = all_0_5_5 % 185.12/126.29 | % 185.12/126.29 | From (474) and (259) follows: % 185.12/126.29 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 185.12/126.29 | % 185.12/126.29 +-Applying beta-rule and splitting (9490), into two cases. % 185.12/126.29 |-Branch one: % 185.12/126.29 | (9511) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.12/126.29 | % 185.12/126.29 | Applying alpha-rule on (9511) yields: % 185.12/126.29 | (9512) all_359_0_1141 = 0 % 185.12/126.29 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.12/126.29 | % 185.12/126.29 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.12/126.29 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.12/126.29 | % 185.12/126.29 | Instantiating (479) with all_410_0_1245 yields: % 185.12/126.29 | (10597) (all_410_0_1245 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_1245 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.12/126.29 | % 185.12/126.29 +-Applying beta-rule and splitting (9495), into two cases. % 185.12/126.29 |-Branch one: % 185.12/126.30 | (9619) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.12/126.30 | % 185.12/126.30 | Applying alpha-rule on (9619) yields: % 185.12/126.30 | (9620) all_367_0_1142 = 0 % 185.12/126.30 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.12/126.30 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.12/126.30 | % 185.12/126.30 | Instantiating (1787) with all_418_0_1246 yields: % 185.12/126.30 | (10602) (all_418_0_1246 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_1246 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.12/126.30 | % 185.12/126.30 +-Applying beta-rule and splitting (9999), into two cases. % 185.12/126.30 |-Branch one: % 185.12/126.30 | (10015) all_383_0_1175 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 185.12/126.30 | % 185.12/126.30 | Applying alpha-rule on (10015) yields: % 185.12/126.30 | (10016) all_383_0_1175 = 0 % 185.12/126.30 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 185.12/126.30 | (760) all_85_1_76 = all_0_6_6 % 185.12/126.30 | % 185.12/126.30 | From (760) and (182) follows: % 185.12/126.30 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 185.12/126.30 | % 185.12/126.30 +-Applying beta-rule and splitting (10004), into two cases. % 185.12/126.30 |-Branch one: % 185.12/126.30 | (10020) all_391_0_1176 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.12/126.30 | % 185.12/126.30 | Applying alpha-rule on (10020) yields: % 185.12/126.30 | (10021) all_391_0_1176 = 0 % 185.12/126.30 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.12/126.30 | (376) all_135_1_90 = all_0_3_3 % 185.12/126.30 | % 185.12/126.30 | From (376) and (231) follows: % 185.12/126.30 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.12/126.30 | % 185.12/126.30 +-Applying beta-rule and splitting (10597), into two cases. % 185.12/126.30 |-Branch one: % 185.12/126.30 | (10613) all_410_0_1245 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.12/126.30 | % 185.12/126.30 | Applying alpha-rule on (10613) yields: % 185.12/126.30 | (10614) all_410_0_1245 = 0 % 185.12/126.30 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.12/126.30 | (501) all_226_1_115 = all_0_3_3 % 185.12/126.30 | % 185.12/126.30 | From (501) and (295) follows: % 185.12/126.30 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.12/126.30 | (261) all_135_0_89 = 0 % 185.12/126.30 | % 185.12/126.30 | Equations (261) can reduce 230 to: % 185.12/126.30 | (173) $false % 185.12/126.30 | % 185.12/126.30 |-The branch is then unsatisfiable % 185.12/126.30 |-Branch two: % 185.12/126.30 | (10620) all_410_0_1245 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.12/126.30 | % 185.12/126.30 | Applying alpha-rule on (10620) yields: % 185.12/126.30 | (10614) all_410_0_1245 = 0 % 185.12/126.30 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.12/126.30 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.12/126.30 | % 185.12/126.30 | Instantiating (508) with all_456_0_1248 yields: % 185.12/126.30 | (10624) (all_456_0_1248 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1248 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.12/126.30 | % 185.12/126.30 +-Applying beta-rule and splitting (10602), into two cases. % 185.12/126.30 |-Branch one: % 185.12/126.30 | (10625) all_418_0_1246 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.30 | % 185.12/126.30 | Applying alpha-rule on (10625) yields: % 185.12/126.30 | (10626) all_418_0_1246 = 0 % 185.12/126.30 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.12/126.30 | (1809) all_205_2_109 = all_0_3_3 % 185.12/126.30 | % 185.12/126.30 | From (1809) and (303) follows: % 185.12/126.30 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.12/126.30 | (261) all_135_0_89 = 0 % 185.12/126.30 | % 185.12/126.30 | Equations (261) can reduce 230 to: % 185.12/126.30 | (173) $false % 185.12/126.30 | % 185.12/126.30 |-The branch is then unsatisfiable % 185.12/126.30 |-Branch two: % 185.12/126.30 | (10632) all_418_0_1246 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.30 | % 185.12/126.30 | Applying alpha-rule on (10632) yields: % 185.12/126.30 | (10626) all_418_0_1246 = 0 % 185.12/126.30 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.12/126.30 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.12/126.30 | % 185.12/126.30 | Instantiating (1816) with all_464_0_1249 yields: % 185.12/126.30 | (10636) (all_464_0_1249 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1249 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.12/126.30 | % 185.12/126.30 +-Applying beta-rule and splitting (10624), into two cases. % 185.12/126.30 |-Branch one: % 185.12/126.30 | (10637) all_456_0_1248 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.12/126.30 | % 185.12/126.30 | Applying alpha-rule on (10637) yields: % 185.12/126.30 | (10638) all_456_0_1248 = 0 % 185.12/126.30 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.12/126.30 | (525) all_226_1_115 = all_0_6_6 % 185.12/126.30 | % 185.12/126.30 | From (525) and (308) follows: % 185.12/126.30 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.12/126.30 | (212) all_85_0_75 = 0 % 185.12/126.30 | % 185.12/126.30 | Equations (212) can reduce 181 to: % 185.12/126.30 | (173) $false % 185.12/126.30 | % 185.12/126.30 |-The branch is then unsatisfiable % 185.12/126.30 |-Branch two: % 185.12/126.30 | (10644) all_456_0_1248 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.12/126.30 | % 185.12/126.30 | Applying alpha-rule on (10644) yields: % 185.12/126.30 | (10638) all_456_0_1248 = 0 % 185.12/126.30 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.12/126.30 | % 185.12/126.30 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.12/126.30 | (532) all_226_1_115 = all_0_9_9 % 185.12/126.30 | % 185.12/126.30 | From (532) and (286) follows: % 185.12/126.31 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.12/126.31 | % 185.12/126.31 +-Applying beta-rule and splitting (10636), into two cases. % 185.12/126.31 |-Branch one: % 185.12/126.31 | (10649) all_464_0_1249 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.31 | % 185.12/126.31 | Applying alpha-rule on (10649) yields: % 185.12/126.31 | (10650) all_464_0_1249 = 0 % 185.12/126.31 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.12/126.31 | (1833) all_205_2_109 = all_0_6_6 % 185.12/126.31 | % 185.12/126.31 | From (1833) and (315) follows: % 185.12/126.31 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.12/126.31 | (212) all_85_0_75 = 0 % 185.12/126.31 | % 185.12/126.31 | Equations (212) can reduce 181 to: % 185.12/126.31 | (173) $false % 185.12/126.31 | % 185.12/126.31 |-The branch is then unsatisfiable % 185.12/126.31 |-Branch two: % 185.12/126.31 | (10656) all_464_0_1249 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.31 | % 185.12/126.31 | Applying alpha-rule on (10656) yields: % 185.12/126.31 | (10650) all_464_0_1249 = 0 % 185.12/126.31 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.12/126.31 | (1840) all_205_2_109 = all_0_9_9 % 185.12/126.31 | % 185.12/126.31 | From (1840) and (275) follows: % 185.12/126.31 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.12/126.31 | (2957) all_226_0_114 = 0 % 185.12/126.31 | % 185.12/126.31 | Equations (2957) can reduce 285 to: % 185.12/126.31 | (173) $false % 185.12/126.31 | % 185.12/126.31 |-The branch is then unsatisfiable % 185.12/126.31 |-Branch two: % 185.12/126.31 | (10075) all_391_0_1176 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.12/126.31 | % 185.12/126.31 | Applying alpha-rule on (10075) yields: % 185.12/126.31 | (10021) all_391_0_1176 = 0 % 185.12/126.31 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.12/126.31 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.12/126.31 | % 185.12/126.31 | Instantiating (383) with all_445_0_1251 yields: % 185.12/126.31 | (10667) (all_445_0_1251 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_1251 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.12/126.31 | % 185.12/126.31 +-Applying beta-rule and splitting (10597), into two cases. % 185.12/126.31 |-Branch one: % 185.12/126.31 | (10613) all_410_0_1245 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.12/126.31 | % 185.12/126.31 | Applying alpha-rule on (10613) yields: % 185.12/126.31 | (10614) all_410_0_1245 = 0 % 185.12/126.31 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.12/126.31 | (501) all_226_1_115 = all_0_3_3 % 185.12/126.31 | % 185.12/126.31 | From (501) and (286) follows: % 185.12/126.31 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 185.12/126.31 | % 185.12/126.31 +-Applying beta-rule and splitting (10602), into two cases. % 185.12/126.31 |-Branch one: % 185.12/126.31 | (10625) all_418_0_1246 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.31 | % 185.12/126.31 | Applying alpha-rule on (10625) yields: % 185.12/126.31 | (10626) all_418_0_1246 = 0 % 185.12/126.31 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.12/126.31 | (1809) all_205_2_109 = all_0_3_3 % 185.12/126.31 | % 185.12/126.31 | From (1809) and (275) follows: % 185.12/126.31 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 185.12/126.31 | (2957) all_226_0_114 = 0 % 185.12/126.31 | % 185.12/126.31 | Equations (2957) can reduce 285 to: % 185.12/126.31 | (173) $false % 185.12/126.31 | % 185.12/126.31 |-The branch is then unsatisfiable % 185.12/126.31 |-Branch two: % 185.12/126.31 | (10632) all_418_0_1246 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.31 | % 185.12/126.31 | Applying alpha-rule on (10632) yields: % 185.12/126.31 | (10626) all_418_0_1246 = 0 % 185.12/126.31 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.12/126.31 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.12/126.31 | % 185.12/126.31 | Instantiating (1816) with all_464_0_1252 yields: % 185.12/126.31 | (10684) (all_464_0_1252 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1252 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.12/126.31 | % 185.12/126.31 +-Applying beta-rule and splitting (10667), into two cases. % 185.12/126.31 |-Branch one: % 185.12/126.31 | (10685) all_445_0_1251 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.31 | % 185.12/126.31 | Applying alpha-rule on (10685) yields: % 185.12/126.31 | (10686) all_445_0_1251 = 0 % 185.12/126.31 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.12/126.31 | % 185.12/126.31 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.12/126.31 | (405) all_135_1_90 = all_0_6_6 % 185.12/126.31 | % 185.12/126.31 | From (405) and (241) follows: % 185.12/126.32 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.12/126.32 | % 185.12/126.32 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.12/126.32 | (212) all_85_0_75 = 0 % 185.12/126.32 | % 185.12/126.32 | Equations (212) can reduce 181 to: % 185.12/126.32 | (173) $false % 185.12/126.32 | % 185.12/126.32 |-The branch is then unsatisfiable % 185.12/126.32 |-Branch two: % 185.12/126.32 | (10692) all_445_0_1251 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.32 | % 185.12/126.32 | Applying alpha-rule on (10692) yields: % 185.12/126.32 | (10686) all_445_0_1251 = 0 % 185.12/126.32 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.12/126.32 | % 185.12/126.32 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.12/126.32 | (412) all_135_1_90 = all_0_9_9 % 185.12/126.32 | % 185.12/126.32 | From (412) and (231) follows: % 185.12/126.32 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.27/126.32 | % 185.27/126.32 +-Applying beta-rule and splitting (10684), into two cases. % 185.27/126.32 |-Branch one: % 185.27/126.32 | (10697) all_464_0_1252 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.27/126.32 | % 185.27/126.32 | Applying alpha-rule on (10697) yields: % 185.27/126.32 | (10698) all_464_0_1252 = 0 % 185.27/126.32 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.27/126.32 | (1833) all_205_2_109 = all_0_6_6 % 185.27/126.32 | % 185.27/126.32 | From (1833) and (315) follows: % 185.27/126.32 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.27/126.32 | (212) all_85_0_75 = 0 % 185.27/126.32 | % 185.27/126.32 | Equations (212) can reduce 181 to: % 185.27/126.32 | (173) $false % 185.27/126.32 | % 185.27/126.32 |-The branch is then unsatisfiable % 185.27/126.32 |-Branch two: % 185.27/126.32 | (10704) all_464_0_1252 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.27/126.32 | % 185.27/126.32 | Applying alpha-rule on (10704) yields: % 185.27/126.32 | (10698) all_464_0_1252 = 0 % 185.27/126.32 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.27/126.32 | (1840) all_205_2_109 = all_0_9_9 % 185.27/126.32 | % 185.27/126.32 | From (1840) and (303) follows: % 185.27/126.32 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.27/126.32 | (261) all_135_0_89 = 0 % 185.27/126.32 | % 185.27/126.32 | Equations (261) can reduce 230 to: % 185.27/126.32 | (173) $false % 185.27/126.32 | % 185.27/126.32 |-The branch is then unsatisfiable % 185.27/126.32 |-Branch two: % 185.27/126.32 | (10620) all_410_0_1245 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.27/126.32 | % 185.27/126.32 | Applying alpha-rule on (10620) yields: % 185.27/126.32 | (10614) all_410_0_1245 = 0 % 185.27/126.32 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.27/126.32 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.27/126.32 | % 185.27/126.32 | Instantiating (508) with all_453_0_1254 yields: % 185.27/126.32 | (10715) (all_453_0_1254 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1254 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.27/126.32 | % 185.27/126.32 +-Applying beta-rule and splitting (10667), into two cases. % 185.27/126.32 |-Branch one: % 185.27/126.32 | (10685) all_445_0_1251 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.27/126.32 | % 185.27/126.32 | Applying alpha-rule on (10685) yields: % 185.27/126.32 | (10686) all_445_0_1251 = 0 % 185.27/126.32 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.27/126.32 | (405) all_135_1_90 = all_0_6_6 % 185.27/126.32 | % 185.27/126.32 | From (405) and (241) follows: % 185.27/126.32 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.27/126.32 | (212) all_85_0_75 = 0 % 185.27/126.32 | % 185.27/126.32 | Equations (212) can reduce 181 to: % 185.27/126.32 | (173) $false % 185.27/126.32 | % 185.27/126.32 |-The branch is then unsatisfiable % 185.27/126.32 |-Branch two: % 185.27/126.32 | (10692) all_445_0_1251 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.27/126.32 | % 185.27/126.32 | Applying alpha-rule on (10692) yields: % 185.27/126.32 | (10686) all_445_0_1251 = 0 % 185.27/126.32 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.27/126.32 | (412) all_135_1_90 = all_0_9_9 % 185.27/126.32 | % 185.27/126.32 | From (412) and (231) follows: % 185.27/126.32 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.27/126.32 | % 185.27/126.32 +-Applying beta-rule and splitting (10715), into two cases. % 185.27/126.32 |-Branch one: % 185.27/126.32 | (10728) all_453_0_1254 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.27/126.32 | % 185.27/126.32 | Applying alpha-rule on (10728) yields: % 185.27/126.32 | (10729) all_453_0_1254 = 0 % 185.27/126.32 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.27/126.32 | (525) all_226_1_115 = all_0_6_6 % 185.27/126.32 | % 185.27/126.32 | From (525) and (308) follows: % 185.27/126.32 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.27/126.32 | % 185.27/126.32 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.27/126.32 | (212) all_85_0_75 = 0 % 185.27/126.32 | % 185.27/126.32 | Equations (212) can reduce 181 to: % 185.27/126.32 | (173) $false % 185.27/126.32 | % 185.27/126.32 |-The branch is then unsatisfiable % 185.27/126.32 |-Branch two: % 185.27/126.32 | (10735) all_453_0_1254 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.27/126.32 | % 185.27/126.33 | Applying alpha-rule on (10735) yields: % 185.27/126.33 | (10729) all_453_0_1254 = 0 % 185.27/126.33 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.27/126.33 | (532) all_226_1_115 = all_0_9_9 % 185.27/126.33 | % 185.27/126.33 | From (532) and (295) follows: % 185.27/126.33 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.27/126.33 | (261) all_135_0_89 = 0 % 185.27/126.33 | % 185.27/126.33 | Equations (261) can reduce 230 to: % 185.27/126.33 | (173) $false % 185.27/126.33 | % 185.27/126.33 |-The branch is then unsatisfiable % 185.27/126.33 |-Branch two: % 185.27/126.33 | (10154) all_383_0_1175 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 185.27/126.33 | % 185.27/126.33 | Applying alpha-rule on (10154) yields: % 185.27/126.33 | (10016) all_383_0_1175 = 0 % 185.27/126.33 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 185.27/126.33 | (815) all_85_1_76 = all_0_9_9 % 185.27/126.33 | % 185.27/126.33 | From (815) and (182) follows: % 185.27/126.33 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 185.27/126.33 | % 185.27/126.33 +-Applying beta-rule and splitting (10004), into two cases. % 185.27/126.33 |-Branch one: % 185.27/126.33 | (10020) all_391_0_1176 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.27/126.33 | % 185.27/126.33 | Applying alpha-rule on (10020) yields: % 185.27/126.33 | (10021) all_391_0_1176 = 0 % 185.27/126.33 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.27/126.33 | (376) all_135_1_90 = all_0_3_3 % 185.27/126.33 | % 185.27/126.33 | From (376) and (231) follows: % 185.27/126.33 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.27/126.33 | % 185.27/126.33 +-Applying beta-rule and splitting (10597), into two cases. % 185.27/126.33 |-Branch one: % 185.27/126.33 | (10613) all_410_0_1245 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.27/126.33 | % 185.27/126.33 | Applying alpha-rule on (10613) yields: % 185.27/126.33 | (10614) all_410_0_1245 = 0 % 185.27/126.33 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.27/126.33 | (501) all_226_1_115 = all_0_3_3 % 185.27/126.33 | % 185.27/126.33 | From (501) and (295) follows: % 185.27/126.33 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.27/126.33 | (261) all_135_0_89 = 0 % 185.27/126.33 | % 185.27/126.33 | Equations (261) can reduce 230 to: % 185.27/126.33 | (173) $false % 185.27/126.33 | % 185.27/126.33 |-The branch is then unsatisfiable % 185.27/126.33 |-Branch two: % 185.27/126.33 | (10620) all_410_0_1245 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.27/126.33 | % 185.27/126.33 | Applying alpha-rule on (10620) yields: % 185.27/126.33 | (10614) all_410_0_1245 = 0 % 185.27/126.33 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.27/126.33 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.27/126.33 | % 185.27/126.33 | Instantiating (508) with all_456_0_1268 yields: % 185.27/126.33 | (10763) (all_456_0_1268 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1268 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.27/126.33 | % 185.27/126.33 +-Applying beta-rule and splitting (10602), into two cases. % 185.27/126.33 |-Branch one: % 185.27/126.33 | (10625) all_418_0_1246 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.27/126.33 | % 185.27/126.33 | Applying alpha-rule on (10625) yields: % 185.27/126.33 | (10626) all_418_0_1246 = 0 % 185.27/126.33 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.27/126.33 | (1809) all_205_2_109 = all_0_3_3 % 185.27/126.33 | % 185.27/126.33 | From (1809) and (303) follows: % 185.27/126.33 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.27/126.33 | (261) all_135_0_89 = 0 % 185.27/126.33 | % 185.27/126.33 | Equations (261) can reduce 230 to: % 185.27/126.33 | (173) $false % 185.27/126.33 | % 185.27/126.33 |-The branch is then unsatisfiable % 185.27/126.33 |-Branch two: % 185.27/126.33 | (10632) all_418_0_1246 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.27/126.33 | % 185.27/126.33 | Applying alpha-rule on (10632) yields: % 185.27/126.33 | (10626) all_418_0_1246 = 0 % 185.27/126.33 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.27/126.33 | % 185.27/126.33 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.27/126.33 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.27/126.33 | % 185.27/126.33 | Instantiating (1816) with all_464_0_1269 yields: % 185.27/126.33 | (10775) (all_464_0_1269 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1269 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.27/126.33 | % 185.27/126.33 +-Applying beta-rule and splitting (10763), into two cases. % 185.27/126.33 |-Branch one: % 185.27/126.33 | (10776) all_456_0_1268 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.27/126.33 | % 185.27/126.33 | Applying alpha-rule on (10776) yields: % 185.27/126.33 | (10777) all_456_0_1268 = 0 % 185.27/126.34 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.27/126.34 | (525) all_226_1_115 = all_0_6_6 % 185.27/126.34 | % 185.27/126.34 | From (525) and (286) follows: % 185.27/126.34 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.27/126.34 | % 185.27/126.34 +-Applying beta-rule and splitting (10775), into two cases. % 185.27/126.34 |-Branch one: % 185.27/126.34 | (10781) all_464_0_1269 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.27/126.34 | % 185.27/126.34 | Applying alpha-rule on (10781) yields: % 185.27/126.34 | (10782) all_464_0_1269 = 0 % 185.27/126.34 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.27/126.34 | (1833) all_205_2_109 = all_0_6_6 % 185.27/126.34 | % 185.27/126.34 | From (1833) and (275) follows: % 185.27/126.34 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.27/126.34 | (2957) all_226_0_114 = 0 % 185.27/126.34 | % 185.27/126.34 | Equations (2957) can reduce 285 to: % 185.27/126.34 | (173) $false % 185.27/126.34 | % 185.27/126.34 |-The branch is then unsatisfiable % 185.27/126.34 |-Branch two: % 185.27/126.34 | (10788) all_464_0_1269 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.27/126.34 | % 185.27/126.34 | Applying alpha-rule on (10788) yields: % 185.27/126.34 | (10782) all_464_0_1269 = 0 % 185.27/126.34 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.27/126.34 | (1840) all_205_2_109 = all_0_9_9 % 185.27/126.34 | % 185.27/126.34 | From (1840) and (315) follows: % 185.27/126.34 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.27/126.34 | (212) all_85_0_75 = 0 % 185.27/126.34 | % 185.27/126.34 | Equations (212) can reduce 181 to: % 185.27/126.34 | (173) $false % 185.27/126.34 | % 185.27/126.34 |-The branch is then unsatisfiable % 185.27/126.34 |-Branch two: % 185.27/126.34 | (10795) all_456_0_1268 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.27/126.34 | % 185.27/126.34 | Applying alpha-rule on (10795) yields: % 185.27/126.34 | (10777) all_456_0_1268 = 0 % 185.27/126.34 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.27/126.34 | (532) all_226_1_115 = all_0_9_9 % 185.27/126.34 | % 185.27/126.34 | From (532) and (308) follows: % 185.27/126.34 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.27/126.34 | (212) all_85_0_75 = 0 % 185.27/126.34 | % 185.27/126.34 | Equations (212) can reduce 181 to: % 185.27/126.34 | (173) $false % 185.27/126.34 | % 185.27/126.34 |-The branch is then unsatisfiable % 185.27/126.34 |-Branch two: % 185.27/126.34 | (10075) all_391_0_1176 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.27/126.34 | % 185.27/126.34 | Applying alpha-rule on (10075) yields: % 185.27/126.34 | (10021) all_391_0_1176 = 0 % 185.27/126.34 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.27/126.34 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.27/126.34 | % 185.27/126.34 | Instantiating (383) with all_445_0_1271 yields: % 185.27/126.34 | (10806) (all_445_0_1271 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_445_0_1271 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.27/126.34 | % 185.27/126.34 +-Applying beta-rule and splitting (10597), into two cases. % 185.27/126.34 |-Branch one: % 185.27/126.34 | (10613) all_410_0_1245 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.27/126.34 | % 185.27/126.34 | Applying alpha-rule on (10613) yields: % 185.27/126.34 | (10614) all_410_0_1245 = 0 % 185.27/126.34 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.27/126.34 | (501) all_226_1_115 = all_0_3_3 % 185.27/126.34 | % 185.27/126.34 | From (501) and (286) follows: % 185.27/126.34 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 185.27/126.34 | % 185.27/126.34 +-Applying beta-rule and splitting (10602), into two cases. % 185.27/126.34 |-Branch one: % 185.27/126.34 | (10625) all_418_0_1246 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.27/126.34 | % 185.27/126.34 | Applying alpha-rule on (10625) yields: % 185.27/126.34 | (10626) all_418_0_1246 = 0 % 185.27/126.34 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.27/126.34 | (1809) all_205_2_109 = all_0_3_3 % 185.27/126.34 | % 185.27/126.34 | From (1809) and (275) follows: % 185.27/126.34 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 185.27/126.34 | % 185.27/126.34 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 185.27/126.34 | (2957) all_226_0_114 = 0 % 185.27/126.34 | % 185.27/126.34 | Equations (2957) can reduce 285 to: % 185.27/126.34 | (173) $false % 185.27/126.34 | % 185.27/126.34 |-The branch is then unsatisfiable % 185.27/126.34 |-Branch two: % 185.27/126.35 | (10632) all_418_0_1246 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.27/126.35 | % 185.27/126.35 | Applying alpha-rule on (10632) yields: % 185.27/126.35 | (10626) all_418_0_1246 = 0 % 185.27/126.35 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.27/126.35 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.27/126.35 | % 185.27/126.35 | Instantiating (1816) with all_464_0_1272 yields: % 185.27/126.35 | (10823) (all_464_0_1272 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1272 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.27/126.35 | % 185.27/126.35 +-Applying beta-rule and splitting (10806), into two cases. % 185.27/126.35 |-Branch one: % 185.27/126.35 | (10824) all_445_0_1271 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.27/126.35 | % 185.27/126.35 | Applying alpha-rule on (10824) yields: % 185.27/126.35 | (10825) all_445_0_1271 = 0 % 185.27/126.35 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.27/126.35 | (405) all_135_1_90 = all_0_6_6 % 185.27/126.35 | % 185.27/126.35 | From (405) and (231) follows: % 185.27/126.35 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.27/126.35 | % 185.27/126.35 +-Applying beta-rule and splitting (10823), into two cases. % 185.27/126.35 |-Branch one: % 185.27/126.35 | (10829) all_464_0_1272 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.27/126.35 | % 185.27/126.35 | Applying alpha-rule on (10829) yields: % 185.27/126.35 | (10830) all_464_0_1272 = 0 % 185.27/126.35 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.27/126.35 | (1833) all_205_2_109 = all_0_6_6 % 185.27/126.35 | % 185.27/126.35 | From (1833) and (303) follows: % 185.27/126.35 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.27/126.35 | (261) all_135_0_89 = 0 % 185.27/126.35 | % 185.27/126.35 | Equations (261) can reduce 230 to: % 185.27/126.35 | (173) $false % 185.27/126.35 | % 185.27/126.35 |-The branch is then unsatisfiable % 185.27/126.35 |-Branch two: % 185.27/126.35 | (10836) all_464_0_1272 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.27/126.35 | % 185.27/126.35 | Applying alpha-rule on (10836) yields: % 185.27/126.35 | (10830) all_464_0_1272 = 0 % 185.27/126.35 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.27/126.35 | (1840) all_205_2_109 = all_0_9_9 % 185.27/126.35 | % 185.27/126.35 | From (1840) and (315) follows: % 185.27/126.35 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.27/126.35 | (212) all_85_0_75 = 0 % 185.27/126.35 | % 185.27/126.35 | Equations (212) can reduce 181 to: % 185.27/126.35 | (173) $false % 185.27/126.35 | % 185.27/126.35 |-The branch is then unsatisfiable % 185.27/126.35 |-Branch two: % 185.27/126.35 | (10843) all_445_0_1271 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.27/126.35 | % 185.27/126.35 | Applying alpha-rule on (10843) yields: % 185.27/126.35 | (10825) all_445_0_1271 = 0 % 185.27/126.35 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.27/126.35 | (412) all_135_1_90 = all_0_9_9 % 185.27/126.35 | % 185.27/126.35 | From (412) and (241) follows: % 185.27/126.35 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.27/126.35 | (212) all_85_0_75 = 0 % 185.27/126.35 | % 185.27/126.35 | Equations (212) can reduce 181 to: % 185.27/126.35 | (173) $false % 185.27/126.35 | % 185.27/126.35 |-The branch is then unsatisfiable % 185.27/126.35 |-Branch two: % 185.27/126.35 | (10620) all_410_0_1245 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.27/126.35 | % 185.27/126.35 | Applying alpha-rule on (10620) yields: % 185.27/126.35 | (10614) all_410_0_1245 = 0 % 185.27/126.35 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.27/126.35 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.27/126.35 | % 185.27/126.35 | Instantiating (508) with all_453_0_1274 yields: % 185.27/126.35 | (10854) (all_453_0_1274 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1274 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.27/126.35 | % 185.27/126.35 +-Applying beta-rule and splitting (10806), into two cases. % 185.27/126.35 |-Branch one: % 185.27/126.35 | (10824) all_445_0_1271 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.27/126.35 | % 185.27/126.35 | Applying alpha-rule on (10824) yields: % 185.27/126.35 | (10825) all_445_0_1271 = 0 % 185.27/126.35 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.27/126.35 | % 185.27/126.35 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.27/126.35 | (405) all_135_1_90 = all_0_6_6 % 185.27/126.35 | % 185.27/126.35 | From (405) and (231) follows: % 185.27/126.35 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.27/126.35 | % 185.27/126.35 +-Applying beta-rule and splitting (10854), into two cases. % 185.27/126.35 |-Branch one: % 185.27/126.35 | (10860) all_453_0_1274 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.27/126.35 | % 185.27/126.35 | Applying alpha-rule on (10860) yields: % 185.27/126.36 | (10861) all_453_0_1274 = 0 % 185.27/126.36 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.27/126.36 | (525) all_226_1_115 = all_0_6_6 % 185.27/126.36 | % 185.27/126.36 | From (525) and (295) follows: % 185.27/126.36 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.27/126.36 | (261) all_135_0_89 = 0 % 185.27/126.36 | % 185.27/126.36 | Equations (261) can reduce 230 to: % 185.27/126.36 | (173) $false % 185.27/126.36 | % 185.27/126.36 |-The branch is then unsatisfiable % 185.27/126.36 |-Branch two: % 185.27/126.36 | (10867) all_453_0_1274 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.27/126.36 | % 185.27/126.36 | Applying alpha-rule on (10867) yields: % 185.27/126.36 | (10861) all_453_0_1274 = 0 % 185.27/126.36 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.27/126.36 | (532) all_226_1_115 = all_0_9_9 % 185.27/126.36 | % 185.27/126.36 | From (532) and (308) follows: % 185.27/126.36 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.27/126.36 | (212) all_85_0_75 = 0 % 185.27/126.36 | % 185.27/126.36 | Equations (212) can reduce 181 to: % 185.27/126.36 | (173) $false % 185.27/126.36 | % 185.27/126.36 |-The branch is then unsatisfiable % 185.27/126.36 |-Branch two: % 185.27/126.36 | (10843) all_445_0_1271 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.27/126.36 | % 185.27/126.36 | Applying alpha-rule on (10843) yields: % 185.27/126.36 | (10825) all_445_0_1271 = 0 % 185.27/126.36 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.27/126.36 | (412) all_135_1_90 = all_0_9_9 % 185.27/126.36 | % 185.27/126.36 | From (412) and (241) follows: % 185.27/126.36 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.27/126.36 | (212) all_85_0_75 = 0 % 185.27/126.36 | % 185.27/126.36 | Equations (212) can reduce 181 to: % 185.27/126.36 | (173) $false % 185.27/126.36 | % 185.27/126.36 |-The branch is then unsatisfiable % 185.27/126.36 |-Branch two: % 185.27/126.36 | (9722) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.27/126.36 | % 185.27/126.36 | Applying alpha-rule on (9722) yields: % 185.27/126.36 | (9620) all_367_0_1142 = 0 % 185.27/126.36 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.27/126.36 | (1890) all_205_2_109 = all_0_5_5 % 185.27/126.36 | % 185.27/126.36 | From (1890) and (296) follows: % 185.27/126.36 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 185.27/126.36 | (288) all_181_0_102 = 0 % 185.27/126.36 | % 185.27/126.36 | Equations (288) can reduce 258 to: % 185.27/126.36 | (173) $false % 185.27/126.36 | % 185.27/126.36 |-The branch is then unsatisfiable % 185.27/126.36 |-Branch two: % 185.27/126.36 | (9614) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.27/126.36 | % 185.27/126.36 | Applying alpha-rule on (9614) yields: % 185.27/126.36 | (9512) all_359_0_1141 = 0 % 185.27/126.36 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.27/126.36 | (582) all_226_1_115 = all_0_5_5 % 185.27/126.36 | % 185.27/126.36 | From (582) and (287) follows: % 185.27/126.36 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 185.27/126.36 | (288) all_181_0_102 = 0 % 185.27/126.36 | % 185.27/126.36 | Equations (288) can reduce 258 to: % 185.27/126.36 | (173) $false % 185.27/126.36 | % 185.27/126.36 |-The branch is then unsatisfiable % 185.27/126.36 |-Branch two: % 185.27/126.36 | (9856) all_343_0_1139 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 185.27/126.36 | % 185.27/126.36 | Applying alpha-rule on (9856) yields: % 185.27/126.36 | (9502) all_343_0_1139 = 0 % 185.27/126.36 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 185.27/126.36 | (589) all_135_1_90 = all_0_5_5 % 185.27/126.36 | % 185.27/126.36 | From (589) and (231) follows: % 185.27/126.36 | (590) mem(all_0_5_5, all_99_1_80) = all_135_0_89 % 185.27/126.36 | % 185.27/126.36 +-Applying beta-rule and splitting (9485), into two cases. % 185.27/126.36 |-Branch one: % 185.27/126.36 | (9506) all_351_0_1140 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 185.27/126.36 | % 185.27/126.36 | Applying alpha-rule on (9506) yields: % 185.27/126.36 | (9507) all_351_0_1140 = 0 % 185.27/126.36 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 185.27/126.36 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 185.27/126.36 | % 185.27/126.36 | Instantiating (371) with all_402_0_1288 yields: % 185.27/126.36 | (10904) (all_402_0_1288 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_402_0_1288 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 185.27/126.36 | % 185.27/126.36 +-Applying beta-rule and splitting (9490), into two cases. % 185.27/126.36 |-Branch one: % 185.27/126.36 | (9511) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.27/126.36 | % 185.27/126.36 | Applying alpha-rule on (9511) yields: % 185.27/126.36 | (9512) all_359_0_1141 = 0 % 185.27/126.36 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.27/126.36 | % 185.27/126.36 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.27/126.36 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.27/126.36 | % 185.27/126.36 | Instantiating (479) with all_410_0_1289 yields: % 185.27/126.36 | (10909) (all_410_0_1289 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_1289 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.27/126.36 | % 185.27/126.37 +-Applying beta-rule and splitting (9495), into two cases. % 185.27/126.37 |-Branch one: % 185.27/126.37 | (9619) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.27/126.37 | % 185.27/126.37 | Applying alpha-rule on (9619) yields: % 185.27/126.37 | (9620) all_367_0_1142 = 0 % 185.27/126.37 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.27/126.37 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.27/126.37 | % 185.27/126.37 | Instantiating (1787) with all_418_0_1290 yields: % 185.27/126.37 | (10914) (all_418_0_1290 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_1290 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.27/126.37 | % 185.27/126.37 +-Applying beta-rule and splitting (9999), into two cases. % 185.27/126.37 |-Branch one: % 185.27/126.37 | (10015) all_383_0_1175 = 0 & mem(all_85_1_76, all_0_5_5) = 0 % 185.27/126.37 | % 185.27/126.37 | Applying alpha-rule on (10015) yields: % 185.27/126.37 | (10016) all_383_0_1175 = 0 % 185.27/126.37 | (759) mem(all_85_1_76, all_0_5_5) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_85_1_76 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_85_1_76, all_0_5_5) = 0, yields: % 185.27/126.37 | (760) all_85_1_76 = all_0_6_6 % 185.27/126.37 | % 185.27/126.37 | From (760) and (182) follows: % 185.27/126.37 | (761) mem(all_0_6_6, all_57_1_65) = all_85_0_75 % 185.27/126.37 | % 185.27/126.37 +-Applying beta-rule and splitting (10904), into two cases. % 185.27/126.37 |-Branch one: % 185.27/126.37 | (10920) all_402_0_1288 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.27/126.37 | % 185.27/126.37 | Applying alpha-rule on (10920) yields: % 185.27/126.37 | (10921) all_402_0_1288 = 0 % 185.27/126.37 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.27/126.37 | (393) all_181_1_103 = all_0_3_3 % 185.27/126.37 | % 185.27/126.37 | From (393) and (259) follows: % 185.27/126.37 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.27/126.37 | % 185.27/126.37 +-Applying beta-rule and splitting (10909), into two cases. % 185.27/126.37 |-Branch one: % 185.27/126.37 | (10925) all_410_0_1289 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.27/126.37 | % 185.27/126.37 | Applying alpha-rule on (10925) yields: % 185.27/126.37 | (10926) all_410_0_1289 = 0 % 185.27/126.37 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.27/126.37 | (501) all_226_1_115 = all_0_3_3 % 185.27/126.37 | % 185.27/126.37 | From (501) and (287) follows: % 185.27/126.37 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.27/126.37 | (288) all_181_0_102 = 0 % 185.27/126.37 | % 185.27/126.37 | Equations (288) can reduce 258 to: % 185.27/126.37 | (173) $false % 185.27/126.37 | % 185.27/126.37 |-The branch is then unsatisfiable % 185.27/126.37 |-Branch two: % 185.27/126.37 | (10932) all_410_0_1289 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.27/126.37 | % 185.27/126.37 | Applying alpha-rule on (10932) yields: % 185.27/126.37 | (10926) all_410_0_1289 = 0 % 185.27/126.37 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.27/126.37 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.27/126.37 | % 185.27/126.37 | Instantiating (508) with all_456_0_1292 yields: % 185.27/126.37 | (10936) (all_456_0_1292 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1292 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.27/126.37 | % 185.27/126.37 +-Applying beta-rule and splitting (10914), into two cases. % 185.27/126.37 |-Branch one: % 185.27/126.37 | (10937) all_418_0_1290 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.27/126.37 | % 185.27/126.37 | Applying alpha-rule on (10937) yields: % 185.27/126.37 | (10938) all_418_0_1290 = 0 % 185.27/126.37 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.27/126.37 | (1809) all_205_2_109 = all_0_3_3 % 185.27/126.37 | % 185.27/126.37 | From (1809) and (296) follows: % 185.27/126.37 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.27/126.37 | (288) all_181_0_102 = 0 % 185.27/126.37 | % 185.27/126.37 | Equations (288) can reduce 258 to: % 185.27/126.37 | (173) $false % 185.27/126.37 | % 185.27/126.37 |-The branch is then unsatisfiable % 185.27/126.37 |-Branch two: % 185.27/126.37 | (10944) all_418_0_1290 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.27/126.37 | % 185.27/126.37 | Applying alpha-rule on (10944) yields: % 185.27/126.37 | (10938) all_418_0_1290 = 0 % 185.27/126.37 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.27/126.37 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.27/126.37 | % 185.27/126.37 | Instantiating (1816) with all_464_0_1293 yields: % 185.27/126.37 | (10948) (all_464_0_1293 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1293 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.27/126.37 | % 185.27/126.37 +-Applying beta-rule and splitting (10936), into two cases. % 185.27/126.37 |-Branch one: % 185.27/126.37 | (10949) all_456_0_1292 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.27/126.37 | % 185.27/126.37 | Applying alpha-rule on (10949) yields: % 185.27/126.37 | (10950) all_456_0_1292 = 0 % 185.27/126.37 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.27/126.37 | (525) all_226_1_115 = all_0_6_6 % 185.27/126.37 | % 185.27/126.37 | From (525) and (308) follows: % 185.27/126.37 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.27/126.37 | % 185.27/126.37 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.27/126.37 | (212) all_85_0_75 = 0 % 185.27/126.37 | % 185.27/126.37 | Equations (212) can reduce 181 to: % 185.27/126.37 | (173) $false % 185.27/126.37 | % 185.27/126.38 |-The branch is then unsatisfiable % 185.27/126.38 |-Branch two: % 185.27/126.38 | (10956) all_456_0_1292 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.27/126.38 | % 185.27/126.38 | Applying alpha-rule on (10956) yields: % 185.27/126.38 | (10950) all_456_0_1292 = 0 % 185.27/126.38 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.27/126.38 | % 185.27/126.38 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.27/126.38 | (532) all_226_1_115 = all_0_9_9 % 185.27/126.38 | % 185.27/126.38 | From (532) and (286) follows: % 185.27/126.38 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.27/126.38 | % 185.27/126.38 +-Applying beta-rule and splitting (10948), into two cases. % 185.27/126.38 |-Branch one: % 185.27/126.38 | (10961) all_464_0_1293 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.27/126.38 | % 185.27/126.38 | Applying alpha-rule on (10961) yields: % 185.27/126.38 | (10962) all_464_0_1293 = 0 % 185.27/126.38 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.27/126.38 | % 185.27/126.38 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.27/126.38 | (1833) all_205_2_109 = all_0_6_6 % 185.27/126.38 | % 185.27/126.38 | From (1833) and (315) follows: % 185.27/126.38 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.27/126.38 | % 185.27/126.38 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.27/126.38 | (212) all_85_0_75 = 0 % 185.27/126.38 | % 185.27/126.38 | Equations (212) can reduce 181 to: % 185.27/126.38 | (173) $false % 185.27/126.38 | % 185.27/126.38 |-The branch is then unsatisfiable % 185.27/126.38 |-Branch two: % 185.27/126.38 | (10968) all_464_0_1293 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.27/126.38 | % 185.27/126.38 | Applying alpha-rule on (10968) yields: % 185.27/126.38 | (10962) all_464_0_1293 = 0 % 185.27/126.38 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.27/126.38 | % 185.27/126.38 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.27/126.38 | (1840) all_205_2_109 = all_0_9_9 % 185.27/126.38 | % 185.27/126.38 | From (1840) and (275) follows: % 185.27/126.38 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.27/126.38 | % 185.27/126.38 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.27/126.38 | (2957) all_226_0_114 = 0 % 185.27/126.38 | % 185.27/126.38 | Equations (2957) can reduce 285 to: % 185.27/126.38 | (173) $false % 185.27/126.38 | % 185.27/126.38 |-The branch is then unsatisfiable % 185.27/126.38 |-Branch two: % 185.27/126.38 | (10975) all_402_0_1288 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.27/126.38 | % 185.27/126.38 | Applying alpha-rule on (10975) yields: % 185.27/126.38 | (10921) all_402_0_1288 = 0 % 185.27/126.38 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.27/126.38 | % 185.27/126.38 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.27/126.38 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.27/126.38 | % 185.27/126.38 | Instantiating (400) with all_445_0_1295 yields: % 185.27/126.38 | (10979) (all_445_0_1295 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_1295 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.27/126.38 | % 185.27/126.38 +-Applying beta-rule and splitting (10909), into two cases. % 185.27/126.38 |-Branch one: % 185.27/126.38 | (10925) all_410_0_1289 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.27/126.38 | % 185.27/126.38 | Applying alpha-rule on (10925) yields: % 185.27/126.38 | (10926) all_410_0_1289 = 0 % 185.27/126.38 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.27/126.38 | % 185.27/126.38 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.27/126.38 | (501) all_226_1_115 = all_0_3_3 % 185.27/126.38 | % 185.27/126.38 | From (501) and (286) follows: % 185.27/126.38 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 185.27/126.38 | % 185.27/126.38 +-Applying beta-rule and splitting (10914), into two cases. % 185.27/126.38 |-Branch one: % 185.27/126.38 | (10937) all_418_0_1290 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.27/126.38 | % 185.37/126.38 | Applying alpha-rule on (10937) yields: % 185.37/126.38 | (10938) all_418_0_1290 = 0 % 185.37/126.38 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.37/126.38 | % 185.37/126.38 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.37/126.38 | (1809) all_205_2_109 = all_0_3_3 % 185.37/126.38 | % 185.37/126.38 | From (1809) and (275) follows: % 185.37/126.38 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 185.37/126.38 | % 185.37/126.38 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 185.37/126.38 | (2957) all_226_0_114 = 0 % 185.37/126.38 | % 185.37/126.38 | Equations (2957) can reduce 285 to: % 185.37/126.38 | (173) $false % 185.37/126.38 | % 185.37/126.38 |-The branch is then unsatisfiable % 185.37/126.38 |-Branch two: % 185.37/126.38 | (10944) all_418_0_1290 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.37/126.38 | % 185.37/126.39 | Applying alpha-rule on (10944) yields: % 185.37/126.39 | (10938) all_418_0_1290 = 0 % 185.37/126.39 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.37/126.39 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.37/126.39 | % 185.37/126.39 | Instantiating (1816) with all_464_0_1296 yields: % 185.37/126.39 | (10996) (all_464_0_1296 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1296 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.37/126.39 | % 185.37/126.39 +-Applying beta-rule and splitting (10979), into two cases. % 185.37/126.39 |-Branch one: % 185.37/126.39 | (10997) all_445_0_1295 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.39 | % 185.37/126.39 | Applying alpha-rule on (10997) yields: % 185.37/126.39 | (10998) all_445_0_1295 = 0 % 185.37/126.39 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.37/126.39 | (417) all_181_1_103 = all_0_6_6 % 185.37/126.39 | % 185.37/126.39 | From (417) and (297) follows: % 185.37/126.39 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.37/126.39 | (212) all_85_0_75 = 0 % 185.37/126.39 | % 185.37/126.39 | Equations (212) can reduce 181 to: % 185.37/126.39 | (173) $false % 185.37/126.39 | % 185.37/126.39 |-The branch is then unsatisfiable % 185.37/126.39 |-Branch two: % 185.37/126.39 | (11004) all_445_0_1295 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.39 | % 185.37/126.39 | Applying alpha-rule on (11004) yields: % 185.37/126.39 | (10998) all_445_0_1295 = 0 % 185.37/126.39 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.37/126.39 | (424) all_181_1_103 = all_0_9_9 % 185.37/126.39 | % 185.37/126.39 | From (424) and (259) follows: % 185.37/126.39 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.37/126.39 | % 185.37/126.39 +-Applying beta-rule and splitting (10996), into two cases. % 185.37/126.39 |-Branch one: % 185.37/126.39 | (11009) all_464_0_1296 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.39 | % 185.37/126.39 | Applying alpha-rule on (11009) yields: % 185.37/126.39 | (11010) all_464_0_1296 = 0 % 185.37/126.39 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.37/126.39 | (1833) all_205_2_109 = all_0_6_6 % 185.37/126.39 | % 185.37/126.39 | From (1833) and (315) follows: % 185.37/126.39 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.37/126.39 | (212) all_85_0_75 = 0 % 185.37/126.39 | % 185.37/126.39 | Equations (212) can reduce 181 to: % 185.37/126.39 | (173) $false % 185.37/126.39 | % 185.37/126.39 |-The branch is then unsatisfiable % 185.37/126.39 |-Branch two: % 185.37/126.39 | (11016) all_464_0_1296 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.39 | % 185.37/126.39 | Applying alpha-rule on (11016) yields: % 185.37/126.39 | (11010) all_464_0_1296 = 0 % 185.37/126.39 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.37/126.39 | (1840) all_205_2_109 = all_0_9_9 % 185.37/126.39 | % 185.37/126.39 | From (1840) and (296) follows: % 185.37/126.39 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.37/126.39 | (288) all_181_0_102 = 0 % 185.37/126.39 | % 185.37/126.39 | Equations (288) can reduce 258 to: % 185.37/126.39 | (173) $false % 185.37/126.39 | % 185.37/126.39 |-The branch is then unsatisfiable % 185.37/126.39 |-Branch two: % 185.37/126.39 | (10932) all_410_0_1289 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.37/126.39 | % 185.37/126.39 | Applying alpha-rule on (10932) yields: % 185.37/126.39 | (10926) all_410_0_1289 = 0 % 185.37/126.39 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.37/126.39 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.37/126.39 | % 185.37/126.39 | Instantiating (508) with all_453_0_1298 yields: % 185.37/126.39 | (11027) (all_453_0_1298 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1298 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.37/126.39 | % 185.37/126.39 +-Applying beta-rule and splitting (10979), into two cases. % 185.37/126.39 |-Branch one: % 185.37/126.39 | (10997) all_445_0_1295 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.39 | % 185.37/126.39 | Applying alpha-rule on (10997) yields: % 185.37/126.39 | (10998) all_445_0_1295 = 0 % 185.37/126.39 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.37/126.39 | (417) all_181_1_103 = all_0_6_6 % 185.37/126.39 | % 185.37/126.39 | From (417) and (297) follows: % 185.37/126.39 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.37/126.39 | % 185.37/126.39 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.37/126.39 | (212) all_85_0_75 = 0 % 185.37/126.39 | % 185.37/126.39 | Equations (212) can reduce 181 to: % 185.37/126.39 | (173) $false % 185.37/126.39 | % 185.37/126.39 |-The branch is then unsatisfiable % 185.37/126.39 |-Branch two: % 185.37/126.39 | (11004) all_445_0_1295 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.39 | % 185.37/126.40 | Applying alpha-rule on (11004) yields: % 185.37/126.40 | (10998) all_445_0_1295 = 0 % 185.37/126.40 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.37/126.40 | (424) all_181_1_103 = all_0_9_9 % 185.37/126.40 | % 185.37/126.40 | From (424) and (259) follows: % 185.37/126.40 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.37/126.40 | % 185.37/126.40 +-Applying beta-rule and splitting (11027), into two cases. % 185.37/126.40 |-Branch one: % 185.37/126.40 | (11040) all_453_0_1298 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.40 | % 185.37/126.40 | Applying alpha-rule on (11040) yields: % 185.37/126.40 | (11041) all_453_0_1298 = 0 % 185.37/126.40 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.37/126.40 | (525) all_226_1_115 = all_0_6_6 % 185.37/126.40 | % 185.37/126.40 | From (525) and (308) follows: % 185.37/126.40 | (790) mem(all_0_6_6, all_57_1_65) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (58) with all_0_6_6, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_6_6, all_57_1_65) = all_85_0_75, mem(all_0_6_6, all_57_1_65) = 0, yields: % 185.37/126.40 | (212) all_85_0_75 = 0 % 185.37/126.40 | % 185.37/126.40 | Equations (212) can reduce 181 to: % 185.37/126.40 | (173) $false % 185.37/126.40 | % 185.37/126.40 |-The branch is then unsatisfiable % 185.37/126.40 |-Branch two: % 185.37/126.40 | (11047) all_453_0_1298 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.40 | % 185.37/126.40 | Applying alpha-rule on (11047) yields: % 185.37/126.40 | (11041) all_453_0_1298 = 0 % 185.37/126.40 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.37/126.40 | (532) all_226_1_115 = all_0_9_9 % 185.37/126.40 | % 185.37/126.40 | From (532) and (287) follows: % 185.37/126.40 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.37/126.40 | (288) all_181_0_102 = 0 % 185.37/126.40 | % 185.37/126.40 | Equations (288) can reduce 258 to: % 185.37/126.40 | (173) $false % 185.37/126.40 | % 185.37/126.40 |-The branch is then unsatisfiable % 185.37/126.40 |-Branch two: % 185.37/126.40 | (10154) all_383_0_1175 = 0 & mem(all_85_1_76, all_0_6_6) = 0 % 185.37/126.40 | % 185.37/126.40 | Applying alpha-rule on (10154) yields: % 185.37/126.40 | (10016) all_383_0_1175 = 0 % 185.37/126.40 | (814) mem(all_85_1_76, all_0_6_6) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_85_1_76 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_85_1_76, all_0_6_6) = 0, yields: % 185.37/126.40 | (815) all_85_1_76 = all_0_9_9 % 185.37/126.40 | % 185.37/126.40 | From (815) and (182) follows: % 185.37/126.40 | (816) mem(all_0_9_9, all_57_1_65) = all_85_0_75 % 185.37/126.40 | % 185.37/126.40 +-Applying beta-rule and splitting (10904), into two cases. % 185.37/126.40 |-Branch one: % 185.37/126.40 | (10920) all_402_0_1288 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.37/126.40 | % 185.37/126.40 | Applying alpha-rule on (10920) yields: % 185.37/126.40 | (10921) all_402_0_1288 = 0 % 185.37/126.40 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.37/126.40 | (393) all_181_1_103 = all_0_3_3 % 185.37/126.40 | % 185.37/126.40 | From (393) and (259) follows: % 185.37/126.40 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.37/126.40 | % 185.37/126.40 +-Applying beta-rule and splitting (10909), into two cases. % 185.37/126.40 |-Branch one: % 185.37/126.40 | (10925) all_410_0_1289 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.37/126.40 | % 185.37/126.40 | Applying alpha-rule on (10925) yields: % 185.37/126.40 | (10926) all_410_0_1289 = 0 % 185.37/126.40 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.37/126.40 | (501) all_226_1_115 = all_0_3_3 % 185.37/126.40 | % 185.37/126.40 | From (501) and (287) follows: % 185.37/126.40 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.37/126.40 | (288) all_181_0_102 = 0 % 185.37/126.40 | % 185.37/126.40 | Equations (288) can reduce 258 to: % 185.37/126.40 | (173) $false % 185.37/126.40 | % 185.37/126.40 |-The branch is then unsatisfiable % 185.37/126.40 |-Branch two: % 185.37/126.40 | (10932) all_410_0_1289 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.37/126.40 | % 185.37/126.40 | Applying alpha-rule on (10932) yields: % 185.37/126.40 | (10926) all_410_0_1289 = 0 % 185.37/126.40 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.37/126.40 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.37/126.40 | % 185.37/126.40 | Instantiating (508) with all_456_0_1312 yields: % 185.37/126.40 | (11075) (all_456_0_1312 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1312 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.37/126.40 | % 185.37/126.40 +-Applying beta-rule and splitting (10914), into two cases. % 185.37/126.40 |-Branch one: % 185.37/126.40 | (10937) all_418_0_1290 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.37/126.40 | % 185.37/126.40 | Applying alpha-rule on (10937) yields: % 185.37/126.40 | (10938) all_418_0_1290 = 0 % 185.37/126.40 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.37/126.40 | % 185.37/126.40 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.37/126.40 | (1809) all_205_2_109 = all_0_3_3 % 185.37/126.40 | % 185.37/126.40 | From (1809) and (296) follows: % 185.37/126.41 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.37/126.41 | (288) all_181_0_102 = 0 % 185.37/126.41 | % 185.37/126.41 | Equations (288) can reduce 258 to: % 185.37/126.41 | (173) $false % 185.37/126.41 | % 185.37/126.41 |-The branch is then unsatisfiable % 185.37/126.41 |-Branch two: % 185.37/126.41 | (10944) all_418_0_1290 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.37/126.41 | % 185.37/126.41 | Applying alpha-rule on (10944) yields: % 185.37/126.41 | (10938) all_418_0_1290 = 0 % 185.37/126.41 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.37/126.41 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.37/126.41 | % 185.37/126.41 | Instantiating (1816) with all_464_0_1313 yields: % 185.37/126.41 | (11087) (all_464_0_1313 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1313 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.37/126.41 | % 185.37/126.41 +-Applying beta-rule and splitting (11075), into two cases. % 185.37/126.41 |-Branch one: % 185.37/126.41 | (11088) all_456_0_1312 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.41 | % 185.37/126.41 | Applying alpha-rule on (11088) yields: % 185.37/126.41 | (11089) all_456_0_1312 = 0 % 185.37/126.41 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.37/126.41 | (525) all_226_1_115 = all_0_6_6 % 185.37/126.41 | % 185.37/126.41 | From (525) and (286) follows: % 185.37/126.41 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.37/126.41 | % 185.37/126.41 +-Applying beta-rule and splitting (11087), into two cases. % 185.37/126.41 |-Branch one: % 185.37/126.41 | (11093) all_464_0_1313 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.41 | % 185.37/126.41 | Applying alpha-rule on (11093) yields: % 185.37/126.41 | (11094) all_464_0_1313 = 0 % 185.37/126.41 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.37/126.41 | (1833) all_205_2_109 = all_0_6_6 % 185.37/126.41 | % 185.37/126.41 | From (1833) and (275) follows: % 185.37/126.41 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.37/126.41 | (2957) all_226_0_114 = 0 % 185.37/126.41 | % 185.37/126.41 | Equations (2957) can reduce 285 to: % 185.37/126.41 | (173) $false % 185.37/126.41 | % 185.37/126.41 |-The branch is then unsatisfiable % 185.37/126.41 |-Branch two: % 185.37/126.41 | (11100) all_464_0_1313 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.41 | % 185.37/126.41 | Applying alpha-rule on (11100) yields: % 185.37/126.41 | (11094) all_464_0_1313 = 0 % 185.37/126.41 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.37/126.41 | (1840) all_205_2_109 = all_0_9_9 % 185.37/126.41 | % 185.37/126.41 | From (1840) and (315) follows: % 185.37/126.41 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.37/126.41 | (212) all_85_0_75 = 0 % 185.37/126.41 | % 185.37/126.41 | Equations (212) can reduce 181 to: % 185.37/126.41 | (173) $false % 185.37/126.41 | % 185.37/126.41 |-The branch is then unsatisfiable % 185.37/126.41 |-Branch two: % 185.37/126.41 | (11107) all_456_0_1312 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.41 | % 185.37/126.41 | Applying alpha-rule on (11107) yields: % 185.37/126.41 | (11089) all_456_0_1312 = 0 % 185.37/126.41 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.37/126.41 | (532) all_226_1_115 = all_0_9_9 % 185.37/126.41 | % 185.37/126.41 | From (532) and (308) follows: % 185.37/126.41 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.37/126.41 | (212) all_85_0_75 = 0 % 185.37/126.41 | % 185.37/126.41 | Equations (212) can reduce 181 to: % 185.37/126.41 | (173) $false % 185.37/126.41 | % 185.37/126.41 |-The branch is then unsatisfiable % 185.37/126.41 |-Branch two: % 185.37/126.41 | (10975) all_402_0_1288 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.37/126.41 | % 185.37/126.41 | Applying alpha-rule on (10975) yields: % 185.37/126.41 | (10921) all_402_0_1288 = 0 % 185.37/126.41 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.37/126.41 | % 185.37/126.41 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.37/126.41 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.37/126.41 | % 185.37/126.41 | Instantiating (400) with all_445_0_1315 yields: % 185.37/126.41 | (11118) (all_445_0_1315 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_1315 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.37/126.41 | % 185.37/126.41 +-Applying beta-rule and splitting (10909), into two cases. % 185.37/126.41 |-Branch one: % 185.37/126.41 | (10925) all_410_0_1289 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.37/126.41 | % 185.37/126.41 | Applying alpha-rule on (10925) yields: % 185.37/126.42 | (10926) all_410_0_1289 = 0 % 185.37/126.42 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.37/126.42 | (501) all_226_1_115 = all_0_3_3 % 185.37/126.42 | % 185.37/126.42 | From (501) and (286) follows: % 185.37/126.42 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 185.37/126.42 | % 185.37/126.42 +-Applying beta-rule and splitting (10914), into two cases. % 185.37/126.42 |-Branch one: % 185.37/126.42 | (10937) all_418_0_1290 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.37/126.42 | % 185.37/126.42 | Applying alpha-rule on (10937) yields: % 185.37/126.42 | (10938) all_418_0_1290 = 0 % 185.37/126.42 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.37/126.42 | (1809) all_205_2_109 = all_0_3_3 % 185.37/126.42 | % 185.37/126.42 | From (1809) and (275) follows: % 185.37/126.42 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 185.37/126.42 | (2957) all_226_0_114 = 0 % 185.37/126.42 | % 185.37/126.42 | Equations (2957) can reduce 285 to: % 185.37/126.42 | (173) $false % 185.37/126.42 | % 185.37/126.42 |-The branch is then unsatisfiable % 185.37/126.42 |-Branch two: % 185.37/126.42 | (10944) all_418_0_1290 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.37/126.42 | % 185.37/126.42 | Applying alpha-rule on (10944) yields: % 185.37/126.42 | (10938) all_418_0_1290 = 0 % 185.37/126.42 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.37/126.42 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.37/126.42 | % 185.37/126.42 | Instantiating (1816) with all_464_0_1316 yields: % 185.37/126.42 | (11135) (all_464_0_1316 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1316 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.37/126.42 | % 185.37/126.42 +-Applying beta-rule and splitting (11118), into two cases. % 185.37/126.42 |-Branch one: % 185.37/126.42 | (11136) all_445_0_1315 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.42 | % 185.37/126.42 | Applying alpha-rule on (11136) yields: % 185.37/126.42 | (11137) all_445_0_1315 = 0 % 185.37/126.42 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.37/126.42 | (417) all_181_1_103 = all_0_6_6 % 185.37/126.42 | % 185.37/126.42 | From (417) and (259) follows: % 185.37/126.42 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.37/126.42 | % 185.37/126.42 +-Applying beta-rule and splitting (11135), into two cases. % 185.37/126.42 |-Branch one: % 185.37/126.42 | (11141) all_464_0_1316 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.42 | % 185.37/126.42 | Applying alpha-rule on (11141) yields: % 185.37/126.42 | (11142) all_464_0_1316 = 0 % 185.37/126.42 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.37/126.42 | (1833) all_205_2_109 = all_0_6_6 % 185.37/126.42 | % 185.37/126.42 | From (1833) and (296) follows: % 185.37/126.42 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.37/126.42 | (288) all_181_0_102 = 0 % 185.37/126.42 | % 185.37/126.42 | Equations (288) can reduce 258 to: % 185.37/126.42 | (173) $false % 185.37/126.42 | % 185.37/126.42 |-The branch is then unsatisfiable % 185.37/126.42 |-Branch two: % 185.37/126.42 | (11148) all_464_0_1316 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.42 | % 185.37/126.42 | Applying alpha-rule on (11148) yields: % 185.37/126.42 | (11142) all_464_0_1316 = 0 % 185.37/126.42 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.37/126.42 | (1840) all_205_2_109 = all_0_9_9 % 185.37/126.42 | % 185.37/126.42 | From (1840) and (315) follows: % 185.37/126.42 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.37/126.42 | (212) all_85_0_75 = 0 % 185.37/126.42 | % 185.37/126.42 | Equations (212) can reduce 181 to: % 185.37/126.42 | (173) $false % 185.37/126.42 | % 185.37/126.42 |-The branch is then unsatisfiable % 185.37/126.42 |-Branch two: % 185.37/126.42 | (11155) all_445_0_1315 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.42 | % 185.37/126.42 | Applying alpha-rule on (11155) yields: % 185.37/126.42 | (11137) all_445_0_1315 = 0 % 185.37/126.42 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.37/126.42 | (424) all_181_1_103 = all_0_9_9 % 185.37/126.42 | % 185.37/126.42 | From (424) and (297) follows: % 185.37/126.42 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.37/126.42 | (212) all_85_0_75 = 0 % 185.37/126.42 | % 185.37/126.42 | Equations (212) can reduce 181 to: % 185.37/126.42 | (173) $false % 185.37/126.42 | % 185.37/126.42 |-The branch is then unsatisfiable % 185.37/126.42 |-Branch two: % 185.37/126.42 | (10932) all_410_0_1289 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.37/126.42 | % 185.37/126.42 | Applying alpha-rule on (10932) yields: % 185.37/126.42 | (10926) all_410_0_1289 = 0 % 185.37/126.42 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.37/126.42 | % 185.37/126.42 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.37/126.42 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.37/126.42 | % 185.37/126.42 | Instantiating (508) with all_453_0_1318 yields: % 185.37/126.42 | (11166) (all_453_0_1318 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1318 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.37/126.43 | % 185.37/126.43 +-Applying beta-rule and splitting (11118), into two cases. % 185.37/126.43 |-Branch one: % 185.37/126.43 | (11136) all_445_0_1315 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.43 | % 185.37/126.43 | Applying alpha-rule on (11136) yields: % 185.37/126.43 | (11137) all_445_0_1315 = 0 % 185.37/126.43 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.37/126.43 | (417) all_181_1_103 = all_0_6_6 % 185.37/126.43 | % 185.37/126.43 | From (417) and (259) follows: % 185.37/126.43 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.37/126.43 | % 185.37/126.43 +-Applying beta-rule and splitting (11166), into two cases. % 185.37/126.43 |-Branch one: % 185.37/126.43 | (11172) all_453_0_1318 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.43 | % 185.37/126.43 | Applying alpha-rule on (11172) yields: % 185.37/126.43 | (11173) all_453_0_1318 = 0 % 185.37/126.43 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.37/126.43 | (525) all_226_1_115 = all_0_6_6 % 185.37/126.43 | % 185.37/126.43 | From (525) and (287) follows: % 185.37/126.43 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.37/126.43 | (288) all_181_0_102 = 0 % 185.37/126.43 | % 185.37/126.43 | Equations (288) can reduce 258 to: % 185.37/126.43 | (173) $false % 185.37/126.43 | % 185.37/126.43 |-The branch is then unsatisfiable % 185.37/126.43 |-Branch two: % 185.37/126.43 | (11179) all_453_0_1318 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.43 | % 185.37/126.43 | Applying alpha-rule on (11179) yields: % 185.37/126.43 | (11173) all_453_0_1318 = 0 % 185.37/126.43 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.37/126.43 | (532) all_226_1_115 = all_0_9_9 % 185.37/126.43 | % 185.37/126.43 | From (532) and (308) follows: % 185.37/126.43 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.37/126.43 | (212) all_85_0_75 = 0 % 185.37/126.43 | % 185.37/126.43 | Equations (212) can reduce 181 to: % 185.37/126.43 | (173) $false % 185.37/126.43 | % 185.37/126.43 |-The branch is then unsatisfiable % 185.37/126.43 |-Branch two: % 185.37/126.43 | (11155) all_445_0_1315 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.43 | % 185.37/126.43 | Applying alpha-rule on (11155) yields: % 185.37/126.43 | (11137) all_445_0_1315 = 0 % 185.37/126.43 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.37/126.43 | (424) all_181_1_103 = all_0_9_9 % 185.37/126.43 | % 185.37/126.43 | From (424) and (297) follows: % 185.37/126.43 | (857) mem(all_0_9_9, all_57_1_65) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (58) with all_0_9_9, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_9_9, all_57_1_65) = all_85_0_75, mem(all_0_9_9, all_57_1_65) = 0, yields: % 185.37/126.43 | (212) all_85_0_75 = 0 % 185.37/126.43 | % 185.37/126.43 | Equations (212) can reduce 181 to: % 185.37/126.43 | (173) $false % 185.37/126.43 | % 185.37/126.43 |-The branch is then unsatisfiable % 185.37/126.43 |-Branch two: % 185.37/126.43 | (9722) all_367_0_1142 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.37/126.43 | % 185.37/126.43 | Applying alpha-rule on (9722) yields: % 185.37/126.43 | (9620) all_367_0_1142 = 0 % 185.37/126.43 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.37/126.43 | (1890) all_205_2_109 = all_0_5_5 % 185.37/126.43 | % 185.37/126.43 | From (1890) and (303) follows: % 185.37/126.43 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 185.37/126.43 | (261) all_135_0_89 = 0 % 185.37/126.43 | % 185.37/126.43 | Equations (261) can reduce 230 to: % 185.37/126.43 | (173) $false % 185.37/126.43 | % 185.37/126.43 |-The branch is then unsatisfiable % 185.37/126.43 |-Branch two: % 185.37/126.43 | (9614) all_359_0_1141 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.37/126.43 | % 185.37/126.43 | Applying alpha-rule on (9614) yields: % 185.37/126.43 | (9512) all_359_0_1141 = 0 % 185.37/126.43 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.37/126.43 | (582) all_226_1_115 = all_0_5_5 % 185.37/126.43 | % 185.37/126.43 | From (582) and (295) follows: % 185.37/126.43 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 185.37/126.43 | (261) all_135_0_89 = 0 % 185.37/126.43 | % 185.37/126.43 | Equations (261) can reduce 230 to: % 185.37/126.43 | (173) $false % 185.37/126.43 | % 185.37/126.43 |-The branch is then unsatisfiable % 185.37/126.43 |-Branch two: % 185.37/126.43 | (9729) all_351_0_1140 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 185.37/126.43 | % 185.37/126.43 | Applying alpha-rule on (9729) yields: % 185.37/126.43 | (9507) all_351_0_1140 = 0 % 185.37/126.43 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 185.37/126.43 | (474) all_181_1_103 = all_0_5_5 % 185.37/126.43 | % 185.37/126.43 | From (474) and (260) follows: % 185.37/126.43 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 185.37/126.43 | % 185.37/126.43 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 185.37/126.43 | (261) all_135_0_89 = 0 % 185.37/126.43 | % 185.37/126.43 | Equations (261) can reduce 230 to: % 185.37/126.43 | (173) $false % 185.37/126.43 | % 185.37/126.43 |-The branch is then unsatisfiable % 185.37/126.44 |-Branch two: % 185.37/126.44 | (11214) all_321_0_1136 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 185.37/126.44 | % 185.37/126.44 | Applying alpha-rule on (11214) yields: % 185.37/126.44 | (9492) all_321_0_1136 = 0 % 185.37/126.44 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 185.37/126.44 | (2955) all_205_2_109 = all_0_8_8 % 185.37/126.44 | % 185.37/126.44 | From (2955) and (309) follows: % 185.37/126.44 | (11218) mem(all_0_8_8, all_74_1_72) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (58) with all_0_8_8, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_8_8, all_74_1_72) = all_110_0_83, mem(all_0_8_8, all_74_1_72) = 0, yields: % 185.37/126.44 | (233) all_110_0_83 = 0 % 185.37/126.44 | % 185.37/126.44 | Equations (233) can reduce 209 to: % 185.37/126.44 | (173) $false % 185.37/126.44 | % 185.37/126.44 |-The branch is then unsatisfiable % 185.37/126.44 |-Branch two: % 185.37/126.44 | (11221) all_314_0_1135 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 185.37/126.44 | % 185.37/126.44 | Applying alpha-rule on (11221) yields: % 185.37/126.44 | (9487) all_314_0_1135 = 0 % 185.37/126.44 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 185.37/126.44 | (1647) all_226_1_115 = all_0_8_8 % 185.37/126.44 | % 185.37/126.44 | From (1647) and (302) follows: % 185.37/126.44 | (11218) mem(all_0_8_8, all_74_1_72) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (58) with all_0_8_8, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_8_8, all_74_1_72) = all_110_0_83, mem(all_0_8_8, all_74_1_72) = 0, yields: % 185.37/126.44 | (233) all_110_0_83 = 0 % 185.37/126.44 | % 185.37/126.44 | Equations (233) can reduce 209 to: % 185.37/126.44 | (173) $false % 185.37/126.44 | % 185.37/126.44 |-The branch is then unsatisfiable % 185.37/126.44 |-Branch two: % 185.37/126.44 | (11228) all_295_0_1132 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 185.37/126.44 | % 185.37/126.44 | Applying alpha-rule on (11228) yields: % 185.37/126.44 | (9482) all_295_0_1132 = 0 % 185.37/126.44 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 185.37/126.44 | (2962) all_181_1_103 = all_0_8_8 % 185.37/126.44 | % 185.37/126.44 | From (2962) and (269) follows: % 185.37/126.44 | (11218) mem(all_0_8_8, all_74_1_72) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (58) with all_0_8_8, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_8_8, all_74_1_72) = all_110_0_83, mem(all_0_8_8, all_74_1_72) = 0, yields: % 185.37/126.44 | (233) all_110_0_83 = 0 % 185.37/126.44 | % 185.37/126.44 | Equations (233) can reduce 209 to: % 185.37/126.44 | (173) $false % 185.37/126.44 | % 185.37/126.44 |-The branch is then unsatisfiable % 185.37/126.44 |-Branch two: % 185.37/126.44 | (5721) all_255_0_119 = 0 & mem(all_135_1_90, all_0_7_7) = 0 % 185.37/126.44 | % 185.37/126.44 | Applying alpha-rule on (5721) yields: % 185.37/126.44 | (327) all_255_0_119 = 0 % 185.37/126.44 | (5723) mem(all_135_1_90, all_0_7_7) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_135_1_90 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_135_1_90, all_0_7_7) = 0, yields: % 185.37/126.44 | (5724) all_135_1_90 = all_0_8_8 % 185.37/126.44 | % 185.37/126.44 | From (5724) and (232) follows: % 185.37/126.44 | (11218) mem(all_0_8_8, all_74_1_72) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (58) with all_0_8_8, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_8_8, all_74_1_72) = all_110_0_83, mem(all_0_8_8, all_74_1_72) = 0, yields: % 185.37/126.44 | (233) all_110_0_83 = 0 % 185.37/126.44 | % 185.37/126.44 | Equations (233) can reduce 209 to: % 185.37/126.44 | (173) $false % 185.37/126.44 | % 185.37/126.44 |-The branch is then unsatisfiable % 185.37/126.44 |-Branch two: % 185.37/126.44 | (7528) all_254_0_118 = 0 & mem(all_85_1_76, all_0_4_4) = 0 % 185.37/126.44 | % 185.37/126.44 | Applying alpha-rule on (7528) yields: % 185.37/126.44 | (322) all_254_0_118 = 0 % 185.37/126.44 | (7530) mem(all_85_1_76, all_0_4_4) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_85_1_76 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_85_1_76, all_0_4_4) = 0, yields: % 185.37/126.44 | (7531) all_85_1_76 = all_0_5_5 % 185.37/126.44 | % 185.37/126.44 | From (7531) and (182) follows: % 185.37/126.44 | (7532) mem(all_0_5_5, all_57_1_65) = all_85_0_75 % 185.37/126.44 | % 185.37/126.44 +-Applying beta-rule and splitting (301), into two cases. % 185.37/126.44 |-Branch one: % 185.37/126.44 | (326) all_255_0_119 = 0 & mem(all_135_1_90, all_0_1_1) = 0 % 185.37/126.44 | % 185.37/126.44 | Applying alpha-rule on (326) yields: % 185.37/126.44 | (327) all_255_0_119 = 0 % 185.37/126.44 | (328) mem(all_135_1_90, all_0_1_1) = 0 % 185.37/126.44 | % 185.37/126.44 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_135_1_90 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_135_1_90, all_0_1_1) = 0, yields: % 185.37/126.44 | (329) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_4_4) = 0)) % 185.37/126.44 | % 185.37/126.44 | Instantiating (329) with all_346_0_1332 yields: % 185.37/126.44 | (11251) (all_346_0_1332 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (all_346_0_1332 = 0 & mem(all_135_1_90, all_0_4_4) = 0) % 185.37/126.44 | % 185.37/126.44 +-Applying beta-rule and splitting (9463), into two cases. % 185.37/126.44 |-Branch one: % 185.37/126.45 | (9481) all_295_0_1132 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 185.37/126.45 | % 185.37/126.45 | Applying alpha-rule on (9481) yields: % 185.37/126.45 | (9482) all_295_0_1132 = 0 % 185.37/126.45 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 185.37/126.45 | % 185.37/126.45 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 185.37/126.45 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 185.37/126.45 | % 185.37/126.45 | Instantiating (339) with all_354_0_1333 yields: % 185.37/126.45 | (11256) (all_354_0_1333 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_354_0_1333 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 185.37/126.45 | % 185.37/126.45 +-Applying beta-rule and splitting (9468), into two cases. % 185.37/126.45 |-Branch one: % 185.37/126.45 | (9486) all_314_0_1135 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 185.37/126.45 | % 185.37/126.45 | Applying alpha-rule on (9486) yields: % 185.37/126.45 | (9487) all_314_0_1135 = 0 % 185.37/126.45 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 185.37/126.45 | % 185.37/126.45 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 185.37/126.45 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 185.37/126.45 | % 185.37/126.45 | Instantiating (344) with all_362_0_1334 yields: % 185.37/126.45 | (11261) (all_362_0_1334 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_362_0_1334 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 185.37/126.45 | % 185.37/126.45 +-Applying beta-rule and splitting (9470), into two cases. % 185.37/126.45 |-Branch one: % 185.37/126.45 | (9491) all_321_0_1136 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 185.37/126.45 | % 185.37/126.45 | Applying alpha-rule on (9491) yields: % 185.37/126.45 | (9492) all_321_0_1136 = 0 % 185.37/126.45 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 185.37/126.45 | % 185.37/126.45 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 185.37/126.45 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 185.37/126.45 | % 185.37/126.45 | Instantiating (1652) with all_370_0_1335 yields: % 185.37/126.45 | (11266) (all_370_0_1335 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_370_0_1335 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 185.37/126.45 | % 185.37/126.45 +-Applying beta-rule and splitting (11251), into two cases. % 185.37/126.45 |-Branch one: % 185.37/126.45 | (11267) all_346_0_1332 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 185.37/126.45 | % 185.37/126.45 | Applying alpha-rule on (11267) yields: % 185.37/126.45 | (11268) all_346_0_1332 = 0 % 185.37/126.45 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 185.37/126.45 | % 185.37/126.45 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 185.37/126.45 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 185.37/126.45 | % 185.37/126.45 | Instantiating (354) with all_386_0_1337 yields: % 185.37/126.45 | (11271) (all_386_0_1337 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_386_0_1337 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 185.37/126.45 | % 185.37/126.45 +-Applying beta-rule and splitting (11256), into two cases. % 185.37/126.45 |-Branch one: % 185.37/126.45 | (11272) all_354_0_1333 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 185.37/126.45 | % 185.37/126.45 | Applying alpha-rule on (11272) yields: % 185.37/126.45 | (11273) all_354_0_1333 = 0 % 185.37/126.45 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 185.37/126.45 | % 185.37/126.45 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 185.37/126.45 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 185.37/126.45 | % 185.37/126.45 | Instantiating (371) with all_394_0_1338 yields: % 185.37/126.45 | (11276) (all_394_0_1338 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_394_0_1338 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 185.37/126.45 | % 185.37/126.45 +-Applying beta-rule and splitting (11261), into two cases. % 185.37/126.45 |-Branch one: % 185.37/126.45 | (11277) all_362_0_1334 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.37/126.45 | % 185.37/126.45 | Applying alpha-rule on (11277) yields: % 185.37/126.45 | (11278) all_362_0_1334 = 0 % 185.37/126.45 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.37/126.45 | % 185.37/126.45 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.37/126.45 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.37/126.45 | % 185.37/126.45 | Instantiating (479) with all_402_0_1339 yields: % 185.37/126.45 | (11281) (all_402_0_1339 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_402_0_1339 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.37/126.45 | % 185.37/126.45 +-Applying beta-rule and splitting (11266), into two cases. % 185.37/126.45 |-Branch one: % 185.37/126.45 | (11282) all_370_0_1335 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.37/126.45 | % 185.37/126.45 | Applying alpha-rule on (11282) yields: % 185.37/126.45 | (11283) all_370_0_1335 = 0 % 185.37/126.45 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.37/126.45 | % 185.37/126.45 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.37/126.45 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.37/126.45 | % 185.37/126.45 | Instantiating (1787) with all_410_0_1340 yields: % 185.37/126.45 | (11286) (all_410_0_1340 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_410_0_1340 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.37/126.45 | % 185.37/126.45 +-Applying beta-rule and splitting (11271), into two cases. % 185.37/126.45 |-Branch one: % 185.37/126.46 | (11287) all_386_0_1337 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.37/126.46 | % 185.37/126.46 | Applying alpha-rule on (11287) yields: % 185.37/126.46 | (11288) all_386_0_1337 = 0 % 185.37/126.46 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.37/126.46 | (376) all_135_1_90 = all_0_3_3 % 185.37/126.46 | % 185.37/126.46 | From (376) and (231) follows: % 185.37/126.46 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.37/126.46 | % 185.37/126.46 +-Applying beta-rule and splitting (11276), into two cases. % 185.37/126.46 |-Branch one: % 185.37/126.46 | (11292) all_394_0_1338 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.37/126.46 | % 185.37/126.46 | Applying alpha-rule on (11292) yields: % 185.37/126.46 | (11293) all_394_0_1338 = 0 % 185.37/126.46 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.37/126.46 | (393) all_181_1_103 = all_0_3_3 % 185.37/126.46 | % 185.37/126.46 | From (393) and (260) follows: % 185.37/126.46 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.37/126.46 | (261) all_135_0_89 = 0 % 185.37/126.46 | % 185.37/126.46 | Equations (261) can reduce 230 to: % 185.37/126.46 | (173) $false % 185.37/126.46 | % 185.37/126.46 |-The branch is then unsatisfiable % 185.37/126.46 |-Branch two: % 185.37/126.46 | (11299) all_394_0_1338 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.37/126.46 | % 185.37/126.46 | Applying alpha-rule on (11299) yields: % 185.37/126.46 | (11293) all_394_0_1338 = 0 % 185.37/126.46 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.37/126.46 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.37/126.46 | % 185.37/126.46 | Instantiating (400) with all_437_0_1342 yields: % 185.37/126.46 | (11303) (all_437_0_1342 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_437_0_1342 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.37/126.46 | % 185.37/126.46 +-Applying beta-rule and splitting (11281), into two cases. % 185.37/126.46 |-Branch one: % 185.37/126.46 | (11304) all_402_0_1339 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.37/126.46 | % 185.37/126.46 | Applying alpha-rule on (11304) yields: % 185.37/126.46 | (11305) all_402_0_1339 = 0 % 185.37/126.46 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.37/126.46 | (501) all_226_1_115 = all_0_3_3 % 185.37/126.46 | % 185.37/126.46 | From (501) and (295) follows: % 185.37/126.46 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.37/126.46 | (261) all_135_0_89 = 0 % 185.37/126.46 | % 185.37/126.46 | Equations (261) can reduce 230 to: % 185.37/126.46 | (173) $false % 185.37/126.46 | % 185.37/126.46 |-The branch is then unsatisfiable % 185.37/126.46 |-Branch two: % 185.37/126.46 | (11311) all_402_0_1339 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.37/126.46 | % 185.37/126.46 | Applying alpha-rule on (11311) yields: % 185.37/126.46 | (11305) all_402_0_1339 = 0 % 185.37/126.46 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.37/126.46 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.37/126.46 | % 185.37/126.46 | Instantiating (508) with all_445_0_1343 yields: % 185.37/126.46 | (11315) (all_445_0_1343 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1343 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.37/126.46 | % 185.37/126.46 +-Applying beta-rule and splitting (11286), into two cases. % 185.37/126.46 |-Branch one: % 185.37/126.46 | (11316) all_410_0_1340 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.37/126.46 | % 185.37/126.46 | Applying alpha-rule on (11316) yields: % 185.37/126.46 | (11317) all_410_0_1340 = 0 % 185.37/126.46 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.37/126.46 | (1809) all_205_2_109 = all_0_3_3 % 185.37/126.46 | % 185.37/126.46 | From (1809) and (303) follows: % 185.37/126.46 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.37/126.46 | (261) all_135_0_89 = 0 % 185.37/126.46 | % 185.37/126.46 | Equations (261) can reduce 230 to: % 185.37/126.46 | (173) $false % 185.37/126.46 | % 185.37/126.46 |-The branch is then unsatisfiable % 185.37/126.46 |-Branch two: % 185.37/126.46 | (11323) all_410_0_1340 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.37/126.46 | % 185.37/126.46 | Applying alpha-rule on (11323) yields: % 185.37/126.46 | (11317) all_410_0_1340 = 0 % 185.37/126.46 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.37/126.46 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.37/126.46 | % 185.37/126.46 | Instantiating (1816) with all_453_0_1344 yields: % 185.37/126.46 | (11327) (all_453_0_1344 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1344 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.37/126.46 | % 185.37/126.46 +-Applying beta-rule and splitting (11303), into two cases. % 185.37/126.46 |-Branch one: % 185.37/126.46 | (11328) all_437_0_1342 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.46 | % 185.37/126.46 | Applying alpha-rule on (11328) yields: % 185.37/126.46 | (11329) all_437_0_1342 = 0 % 185.37/126.46 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.37/126.46 | % 185.37/126.46 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.37/126.46 | (417) all_181_1_103 = all_0_6_6 % 185.37/126.46 | % 185.37/126.46 | From (417) and (259) follows: % 185.37/126.46 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.37/126.46 | % 185.37/126.46 +-Applying beta-rule and splitting (11315), into two cases. % 185.37/126.46 |-Branch one: % 185.37/126.47 | (11333) all_445_0_1343 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.47 | % 185.37/126.47 | Applying alpha-rule on (11333) yields: % 185.37/126.47 | (11334) all_445_0_1343 = 0 % 185.37/126.47 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.37/126.47 | (525) all_226_1_115 = all_0_6_6 % 185.37/126.47 | % 185.37/126.47 | From (525) and (287) follows: % 185.37/126.47 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.37/126.47 | (288) all_181_0_102 = 0 % 185.37/126.47 | % 185.37/126.47 | Equations (288) can reduce 258 to: % 185.37/126.47 | (173) $false % 185.37/126.47 | % 185.37/126.47 |-The branch is then unsatisfiable % 185.37/126.47 |-Branch two: % 185.37/126.47 | (11340) all_445_0_1343 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.47 | % 185.37/126.47 | Applying alpha-rule on (11340) yields: % 185.37/126.47 | (11334) all_445_0_1343 = 0 % 185.37/126.47 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.37/126.47 | (532) all_226_1_115 = all_0_9_9 % 185.37/126.47 | % 185.37/126.47 | From (532) and (286) follows: % 185.37/126.47 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.37/126.47 | % 185.37/126.47 +-Applying beta-rule and splitting (11327), into two cases. % 185.37/126.47 |-Branch one: % 185.37/126.47 | (11345) all_453_0_1344 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.47 | % 185.37/126.47 | Applying alpha-rule on (11345) yields: % 185.37/126.47 | (11346) all_453_0_1344 = 0 % 185.37/126.47 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.37/126.47 | (1833) all_205_2_109 = all_0_6_6 % 185.37/126.47 | % 185.37/126.47 | From (1833) and (296) follows: % 185.37/126.47 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.37/126.47 | (288) all_181_0_102 = 0 % 185.37/126.47 | % 185.37/126.47 | Equations (288) can reduce 258 to: % 185.37/126.47 | (173) $false % 185.37/126.47 | % 185.37/126.47 |-The branch is then unsatisfiable % 185.37/126.47 |-Branch two: % 185.37/126.47 | (11352) all_453_0_1344 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.47 | % 185.37/126.47 | Applying alpha-rule on (11352) yields: % 185.37/126.47 | (11346) all_453_0_1344 = 0 % 185.37/126.47 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.37/126.47 | (1840) all_205_2_109 = all_0_9_9 % 185.37/126.47 | % 185.37/126.47 | From (1840) and (275) follows: % 185.37/126.47 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.37/126.47 | (2957) all_226_0_114 = 0 % 185.37/126.47 | % 185.37/126.47 | Equations (2957) can reduce 285 to: % 185.37/126.47 | (173) $false % 185.37/126.47 | % 185.37/126.47 |-The branch is then unsatisfiable % 185.37/126.47 |-Branch two: % 185.37/126.47 | (11359) all_437_0_1342 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.47 | % 185.37/126.47 | Applying alpha-rule on (11359) yields: % 185.37/126.47 | (11329) all_437_0_1342 = 0 % 185.37/126.47 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.37/126.47 | (424) all_181_1_103 = all_0_9_9 % 185.37/126.47 | % 185.37/126.47 | From (424) and (259) follows: % 185.37/126.47 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.37/126.47 | % 185.37/126.47 +-Applying beta-rule and splitting (11315), into two cases. % 185.37/126.47 |-Branch one: % 185.37/126.47 | (11333) all_445_0_1343 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.47 | % 185.37/126.47 | Applying alpha-rule on (11333) yields: % 185.37/126.47 | (11334) all_445_0_1343 = 0 % 185.37/126.47 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.37/126.47 | (525) all_226_1_115 = all_0_6_6 % 185.37/126.47 | % 185.37/126.47 | From (525) and (286) follows: % 185.37/126.47 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.37/126.47 | % 185.37/126.47 +-Applying beta-rule and splitting (11327), into two cases. % 185.37/126.47 |-Branch one: % 185.37/126.47 | (11345) all_453_0_1344 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.47 | % 185.37/126.47 | Applying alpha-rule on (11345) yields: % 185.37/126.47 | (11346) all_453_0_1344 = 0 % 185.37/126.47 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.37/126.47 | (1833) all_205_2_109 = all_0_6_6 % 185.37/126.47 | % 185.37/126.47 | From (1833) and (275) follows: % 185.37/126.47 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.37/126.47 | % 185.37/126.47 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.37/126.47 | (2957) all_226_0_114 = 0 % 185.37/126.47 | % 185.37/126.47 | Equations (2957) can reduce 285 to: % 185.37/126.47 | (173) $false % 185.37/126.47 | % 185.37/126.47 |-The branch is then unsatisfiable % 185.37/126.47 |-Branch two: % 185.37/126.47 | (11352) all_453_0_1344 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.47 | % 185.37/126.47 | Applying alpha-rule on (11352) yields: % 185.37/126.48 | (11346) all_453_0_1344 = 0 % 185.37/126.48 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.37/126.48 | % 185.37/126.48 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.37/126.48 | (1840) all_205_2_109 = all_0_9_9 % 185.37/126.48 | % 185.37/126.48 | From (1840) and (296) follows: % 185.37/126.48 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.37/126.48 | % 185.37/126.48 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.37/126.48 | (288) all_181_0_102 = 0 % 185.37/126.48 | % 185.37/126.48 | Equations (288) can reduce 258 to: % 185.37/126.48 | (173) $false % 185.37/126.48 | % 185.37/126.48 |-The branch is then unsatisfiable % 185.37/126.48 |-Branch two: % 185.37/126.48 | (11340) all_445_0_1343 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.48 | % 185.37/126.48 | Applying alpha-rule on (11340) yields: % 185.37/126.48 | (11334) all_445_0_1343 = 0 % 185.37/126.48 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.37/126.48 | % 185.37/126.48 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.37/126.48 | (532) all_226_1_115 = all_0_9_9 % 185.37/126.48 | % 185.37/126.48 | From (532) and (287) follows: % 185.37/126.48 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.37/126.48 | % 185.37/126.48 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.37/126.48 | (288) all_181_0_102 = 0 % 185.37/126.48 | % 185.37/126.48 | Equations (288) can reduce 258 to: % 185.37/126.48 | (173) $false % 185.37/126.48 | % 185.37/126.48 |-The branch is then unsatisfiable % 185.37/126.48 |-Branch two: % 185.37/126.48 | (11390) all_386_0_1337 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.37/126.48 | % 185.37/126.48 | Applying alpha-rule on (11390) yields: % 185.37/126.48 | (11288) all_386_0_1337 = 0 % 185.37/126.48 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.37/126.48 | % 185.37/126.48 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.37/126.48 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.37/126.48 | % 185.37/126.48 | Instantiating (383) with all_426_0_1346 yields: % 185.46/126.48 | (11394) (all_426_0_1346 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_426_0_1346 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.46/126.48 | % 185.46/126.48 +-Applying beta-rule and splitting (11276), into two cases. % 185.46/126.48 |-Branch one: % 185.46/126.48 | (11292) all_394_0_1338 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.46/126.48 | % 185.46/126.48 | Applying alpha-rule on (11292) yields: % 185.46/126.48 | (11293) all_394_0_1338 = 0 % 185.46/126.48 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.46/126.48 | % 185.46/126.48 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.46/126.48 | (393) all_181_1_103 = all_0_3_3 % 185.46/126.48 | % 185.46/126.48 | From (393) and (259) follows: % 185.46/126.48 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.46/126.48 | % 185.46/126.48 +-Applying beta-rule and splitting (11281), into two cases. % 185.46/126.48 |-Branch one: % 185.46/126.48 | (11304) all_402_0_1339 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.46/126.48 | % 185.46/126.48 | Applying alpha-rule on (11304) yields: % 185.46/126.48 | (11305) all_402_0_1339 = 0 % 185.46/126.48 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.46/126.48 | % 185.46/126.48 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.46/126.48 | (501) all_226_1_115 = all_0_3_3 % 185.46/126.48 | % 185.46/126.48 | From (501) and (287) follows: % 185.46/126.48 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.46/126.48 | % 185.46/126.48 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.46/126.48 | (288) all_181_0_102 = 0 % 185.46/126.48 | % 185.46/126.48 | Equations (288) can reduce 258 to: % 185.46/126.48 | (173) $false % 185.46/126.48 | % 185.46/126.48 |-The branch is then unsatisfiable % 185.46/126.48 |-Branch two: % 185.46/126.48 | (11311) all_402_0_1339 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.46/126.48 | % 185.46/126.48 | Applying alpha-rule on (11311) yields: % 185.46/126.48 | (11305) all_402_0_1339 = 0 % 185.46/126.48 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.46/126.48 | % 185.46/126.48 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.46/126.48 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.46/126.48 | % 185.46/126.48 | Instantiating (508) with all_445_0_1347 yields: % 185.46/126.48 | (11411) (all_445_0_1347 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1347 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.46/126.48 | % 185.46/126.48 +-Applying beta-rule and splitting (11286), into two cases. % 185.46/126.48 |-Branch one: % 185.46/126.48 | (11316) all_410_0_1340 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.46/126.48 | % 185.46/126.48 | Applying alpha-rule on (11316) yields: % 185.46/126.48 | (11317) all_410_0_1340 = 0 % 185.46/126.48 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.46/126.48 | % 185.46/126.48 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.46/126.48 | (1809) all_205_2_109 = all_0_3_3 % 185.46/126.48 | % 185.46/126.48 | From (1809) and (296) follows: % 185.46/126.48 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.46/126.48 | % 185.46/126.48 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.46/126.48 | (288) all_181_0_102 = 0 % 185.46/126.48 | % 185.46/126.48 | Equations (288) can reduce 258 to: % 185.46/126.48 | (173) $false % 185.46/126.48 | % 185.46/126.48 |-The branch is then unsatisfiable % 185.46/126.48 |-Branch two: % 185.46/126.49 | (11323) all_410_0_1340 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.46/126.49 | % 185.46/126.49 | Applying alpha-rule on (11323) yields: % 185.46/126.49 | (11317) all_410_0_1340 = 0 % 185.46/126.49 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.46/126.49 | % 185.46/126.49 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.46/126.49 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.46/126.49 | % 185.46/126.49 | Instantiating (1816) with all_453_0_1348 yields: % 185.46/126.49 | (11423) (all_453_0_1348 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1348 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.46/126.49 | % 185.46/126.49 +-Applying beta-rule and splitting (11394), into two cases. % 185.46/126.49 |-Branch one: % 185.46/126.49 | (11424) all_426_0_1346 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.46/126.49 | % 185.46/126.49 | Applying alpha-rule on (11424) yields: % 185.46/126.49 | (11425) all_426_0_1346 = 0 % 185.46/126.49 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.46/126.49 | % 185.46/126.49 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.46/126.49 | (405) all_135_1_90 = all_0_6_6 % 185.46/126.49 | % 185.46/126.49 | From (405) and (231) follows: % 185.46/126.49 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.46/126.49 | % 185.46/126.49 +-Applying beta-rule and splitting (11411), into two cases. % 185.46/126.49 |-Branch one: % 185.46/126.49 | (11429) all_445_0_1347 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.46/126.49 | % 185.46/126.49 | Applying alpha-rule on (11429) yields: % 185.46/126.49 | (11430) all_445_0_1347 = 0 % 185.46/126.49 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.46/126.49 | % 185.46/126.49 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.46/126.49 | (525) all_226_1_115 = all_0_6_6 % 185.46/126.49 | % 185.46/126.49 | From (525) and (295) follows: % 185.46/126.49 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.46/126.49 | % 185.46/126.49 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.46/126.49 | (261) all_135_0_89 = 0 % 185.46/126.49 | % 185.46/126.49 | Equations (261) can reduce 230 to: % 185.46/126.49 | (173) $false % 185.46/126.49 | % 185.46/126.49 |-The branch is then unsatisfiable % 185.46/126.49 |-Branch two: % 185.46/126.49 | (11436) all_445_0_1347 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.46/126.49 | % 185.46/126.49 | Applying alpha-rule on (11436) yields: % 185.46/126.49 | (11430) all_445_0_1347 = 0 % 185.46/126.49 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.46/126.49 | % 185.46/126.49 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.46/126.49 | (532) all_226_1_115 = all_0_9_9 % 185.46/126.49 | % 185.46/126.49 | From (532) and (286) follows: % 185.46/126.49 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.46/126.49 | % 185.46/126.49 +-Applying beta-rule and splitting (11423), into two cases. % 185.46/126.49 |-Branch one: % 185.46/126.49 | (11441) all_453_0_1348 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.46/126.49 | % 185.46/126.49 | Applying alpha-rule on (11441) yields: % 185.46/126.49 | (11442) all_453_0_1348 = 0 % 185.46/126.49 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.46/126.49 | % 185.46/126.49 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.46/126.49 | (1833) all_205_2_109 = all_0_6_6 % 185.46/126.49 | % 185.46/126.49 | From (1833) and (303) follows: % 185.46/126.49 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.46/126.49 | % 185.46/126.49 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.46/126.49 | (261) all_135_0_89 = 0 % 185.46/126.49 | % 185.46/126.49 | Equations (261) can reduce 230 to: % 185.46/126.49 | (173) $false % 185.46/126.49 | % 185.46/126.49 |-The branch is then unsatisfiable % 185.46/126.49 |-Branch two: % 185.46/126.49 | (11448) all_453_0_1348 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.46/126.49 | % 185.46/126.49 | Applying alpha-rule on (11448) yields: % 185.46/126.49 | (11442) all_453_0_1348 = 0 % 185.46/126.49 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.46/126.49 | % 185.46/126.49 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.48/126.49 | (1840) all_205_2_109 = all_0_9_9 % 185.48/126.49 | % 185.48/126.49 | From (1840) and (275) follows: % 185.48/126.49 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.48/126.49 | % 185.48/126.49 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.48/126.49 | (2957) all_226_0_114 = 0 % 185.48/126.49 | % 185.48/126.49 | Equations (2957) can reduce 285 to: % 185.48/126.49 | (173) $false % 185.48/126.49 | % 185.48/126.49 |-The branch is then unsatisfiable % 185.48/126.49 |-Branch two: % 185.48/126.49 | (11455) all_426_0_1346 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.48/126.49 | % 185.48/126.49 | Applying alpha-rule on (11455) yields: % 185.48/126.49 | (11425) all_426_0_1346 = 0 % 185.48/126.49 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.48/126.49 | % 185.48/126.49 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.48/126.49 | (412) all_135_1_90 = all_0_9_9 % 185.48/126.49 | % 185.48/126.49 | From (412) and (231) follows: % 185.48/126.49 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.48/126.49 | % 185.48/126.49 +-Applying beta-rule and splitting (11411), into two cases. % 185.48/126.49 |-Branch one: % 185.48/126.50 | (11429) all_445_0_1347 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.48/126.50 | % 185.48/126.50 | Applying alpha-rule on (11429) yields: % 185.48/126.50 | (11430) all_445_0_1347 = 0 % 185.48/126.50 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.48/126.50 | % 185.48/126.50 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.48/126.50 | (525) all_226_1_115 = all_0_6_6 % 185.48/126.50 | % 185.48/126.50 | From (525) and (286) follows: % 185.48/126.50 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.48/126.50 | % 185.48/126.50 +-Applying beta-rule and splitting (11423), into two cases. % 185.48/126.50 |-Branch one: % 185.48/126.50 | (11441) all_453_0_1348 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.48/126.50 | % 185.48/126.50 | Applying alpha-rule on (11441) yields: % 185.48/126.50 | (11442) all_453_0_1348 = 0 % 185.48/126.50 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.48/126.50 | % 185.48/126.50 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.48/126.50 | (1833) all_205_2_109 = all_0_6_6 % 185.48/126.50 | % 185.48/126.50 | From (1833) and (275) follows: % 185.48/126.50 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.48/126.50 | % 185.48/126.50 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.48/126.50 | (2957) all_226_0_114 = 0 % 185.48/126.50 | % 185.48/126.50 | Equations (2957) can reduce 285 to: % 185.48/126.50 | (173) $false % 185.48/126.50 | % 185.48/126.50 |-The branch is then unsatisfiable % 185.48/126.50 |-Branch two: % 185.48/126.50 | (11448) all_453_0_1348 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.48/126.50 | % 185.48/126.50 | Applying alpha-rule on (11448) yields: % 185.48/126.50 | (11442) all_453_0_1348 = 0 % 185.48/126.50 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.48/126.50 | % 185.48/126.50 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.48/126.50 | (1840) all_205_2_109 = all_0_9_9 % 185.48/126.50 | % 185.48/126.50 | From (1840) and (303) follows: % 185.48/126.50 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.48/126.50 | % 185.48/126.50 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.48/126.50 | (261) all_135_0_89 = 0 % 185.48/126.50 | % 185.48/126.50 | Equations (261) can reduce 230 to: % 185.48/126.50 | (173) $false % 185.48/126.50 | % 185.48/126.50 |-The branch is then unsatisfiable % 185.48/126.50 |-Branch two: % 185.48/126.50 | (11436) all_445_0_1347 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.48/126.50 | % 185.48/126.50 | Applying alpha-rule on (11436) yields: % 185.48/126.50 | (11430) all_445_0_1347 = 0 % 185.48/126.50 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.48/126.50 | % 185.48/126.50 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.48/126.50 | (532) all_226_1_115 = all_0_9_9 % 185.48/126.50 | % 185.48/126.50 | From (532) and (295) follows: % 185.48/126.50 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.48/126.50 | % 185.48/126.50 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.48/126.50 | (261) all_135_0_89 = 0 % 185.48/126.50 | % 185.48/126.50 | Equations (261) can reduce 230 to: % 185.48/126.50 | (173) $false % 185.48/126.50 | % 185.48/126.50 |-The branch is then unsatisfiable % 185.48/126.50 |-Branch two: % 185.48/126.50 | (11299) all_394_0_1338 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.48/126.50 | % 185.48/126.50 | Applying alpha-rule on (11299) yields: % 185.48/126.50 | (11293) all_394_0_1338 = 0 % 185.48/126.50 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.48/126.50 | % 185.48/126.50 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.48/126.50 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.48/126.50 | % 185.48/126.50 | Instantiating (400) with all_434_0_1350 yields: % 185.48/126.50 | (11490) (all_434_0_1350 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_434_0_1350 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.48/126.50 | % 185.48/126.50 +-Applying beta-rule and splitting (11281), into two cases. % 185.48/126.50 |-Branch one: % 185.48/126.50 | (11304) all_402_0_1339 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.48/126.50 | % 185.48/126.50 | Applying alpha-rule on (11304) yields: % 185.48/126.50 | (11305) all_402_0_1339 = 0 % 185.48/126.50 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.48/126.50 | % 185.48/126.50 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.48/126.50 | (501) all_226_1_115 = all_0_3_3 % 185.48/126.50 | % 185.48/126.50 | From (501) and (286) follows: % 185.48/126.50 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 185.48/126.50 | % 185.48/126.50 +-Applying beta-rule and splitting (11286), into two cases. % 185.48/126.50 |-Branch one: % 185.48/126.50 | (11316) all_410_0_1340 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.48/126.50 | % 185.48/126.51 | Applying alpha-rule on (11316) yields: % 185.48/126.51 | (11317) all_410_0_1340 = 0 % 185.48/126.51 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.48/126.51 | (1809) all_205_2_109 = all_0_3_3 % 185.48/126.51 | % 185.48/126.51 | From (1809) and (275) follows: % 185.48/126.51 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 185.48/126.51 | (2957) all_226_0_114 = 0 % 185.48/126.51 | % 185.48/126.51 | Equations (2957) can reduce 285 to: % 185.48/126.51 | (173) $false % 185.48/126.51 | % 185.48/126.51 |-The branch is then unsatisfiable % 185.48/126.51 |-Branch two: % 185.48/126.51 | (11323) all_410_0_1340 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.48/126.51 | % 185.48/126.51 | Applying alpha-rule on (11323) yields: % 185.48/126.51 | (11317) all_410_0_1340 = 0 % 185.48/126.51 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.48/126.51 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.48/126.51 | % 185.48/126.51 | Instantiating (1816) with all_453_0_1351 yields: % 185.48/126.51 | (11507) (all_453_0_1351 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1351 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.48/126.51 | % 185.48/126.51 +-Applying beta-rule and splitting (11394), into two cases. % 185.48/126.51 |-Branch one: % 185.48/126.51 | (11424) all_426_0_1346 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.48/126.51 | % 185.48/126.51 | Applying alpha-rule on (11424) yields: % 185.48/126.51 | (11425) all_426_0_1346 = 0 % 185.48/126.51 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.48/126.51 | (405) all_135_1_90 = all_0_6_6 % 185.48/126.51 | % 185.48/126.51 | From (405) and (231) follows: % 185.48/126.51 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.48/126.51 | % 185.48/126.51 +-Applying beta-rule and splitting (11490), into two cases. % 185.48/126.51 |-Branch one: % 185.48/126.51 | (11513) all_434_0_1350 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.48/126.51 | % 185.48/126.51 | Applying alpha-rule on (11513) yields: % 185.48/126.51 | (11514) all_434_0_1350 = 0 % 185.48/126.51 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.48/126.51 | (417) all_181_1_103 = all_0_6_6 % 185.48/126.51 | % 185.48/126.51 | From (417) and (260) follows: % 185.48/126.51 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.48/126.51 | (261) all_135_0_89 = 0 % 185.48/126.51 | % 185.48/126.51 | Equations (261) can reduce 230 to: % 185.48/126.51 | (173) $false % 185.48/126.51 | % 185.48/126.51 |-The branch is then unsatisfiable % 185.48/126.51 |-Branch two: % 185.48/126.51 | (11520) all_434_0_1350 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.48/126.51 | % 185.48/126.51 | Applying alpha-rule on (11520) yields: % 185.48/126.51 | (11514) all_434_0_1350 = 0 % 185.48/126.51 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.48/126.51 | (424) all_181_1_103 = all_0_9_9 % 185.48/126.51 | % 185.48/126.51 | From (424) and (259) follows: % 185.48/126.51 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.48/126.51 | % 185.48/126.51 +-Applying beta-rule and splitting (11507), into two cases. % 185.48/126.51 |-Branch one: % 185.48/126.51 | (11525) all_453_0_1351 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.48/126.51 | % 185.48/126.51 | Applying alpha-rule on (11525) yields: % 185.48/126.51 | (11526) all_453_0_1351 = 0 % 185.48/126.51 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.48/126.51 | (1833) all_205_2_109 = all_0_6_6 % 185.48/126.51 | % 185.48/126.51 | From (1833) and (303) follows: % 185.48/126.51 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.48/126.51 | (261) all_135_0_89 = 0 % 185.48/126.51 | % 185.48/126.51 | Equations (261) can reduce 230 to: % 185.48/126.51 | (173) $false % 185.48/126.51 | % 185.48/126.51 |-The branch is then unsatisfiable % 185.48/126.51 |-Branch two: % 185.48/126.51 | (11532) all_453_0_1351 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.48/126.51 | % 185.48/126.51 | Applying alpha-rule on (11532) yields: % 185.48/126.51 | (11526) all_453_0_1351 = 0 % 185.48/126.51 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.48/126.51 | (1840) all_205_2_109 = all_0_9_9 % 185.48/126.51 | % 185.48/126.51 | From (1840) and (296) follows: % 185.48/126.51 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.48/126.51 | (288) all_181_0_102 = 0 % 185.48/126.51 | % 185.48/126.51 | Equations (288) can reduce 258 to: % 185.48/126.51 | (173) $false % 185.48/126.51 | % 185.48/126.51 |-The branch is then unsatisfiable % 185.48/126.51 |-Branch two: % 185.48/126.51 | (11455) all_426_0_1346 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.48/126.51 | % 185.48/126.51 | Applying alpha-rule on (11455) yields: % 185.48/126.51 | (11425) all_426_0_1346 = 0 % 185.48/126.51 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.48/126.51 | % 185.48/126.51 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.48/126.51 | (412) all_135_1_90 = all_0_9_9 % 185.48/126.51 | % 185.48/126.51 | From (412) and (231) follows: % 185.48/126.51 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.48/126.51 | % 185.48/126.51 +-Applying beta-rule and splitting (11490), into two cases. % 185.48/126.51 |-Branch one: % 185.48/126.52 | (11513) all_434_0_1350 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.48/126.52 | % 185.48/126.52 | Applying alpha-rule on (11513) yields: % 185.48/126.52 | (11514) all_434_0_1350 = 0 % 185.48/126.52 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.48/126.52 | (417) all_181_1_103 = all_0_6_6 % 185.48/126.52 | % 185.48/126.52 | From (417) and (259) follows: % 185.48/126.52 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.48/126.52 | % 185.48/126.52 +-Applying beta-rule and splitting (11507), into two cases. % 185.48/126.52 |-Branch one: % 185.48/126.52 | (11525) all_453_0_1351 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.48/126.52 | % 185.48/126.52 | Applying alpha-rule on (11525) yields: % 185.48/126.52 | (11526) all_453_0_1351 = 0 % 185.48/126.52 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.48/126.52 | (1833) all_205_2_109 = all_0_6_6 % 185.48/126.52 | % 185.48/126.52 | From (1833) and (296) follows: % 185.48/126.52 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.48/126.52 | (288) all_181_0_102 = 0 % 185.48/126.52 | % 185.48/126.52 | Equations (288) can reduce 258 to: % 185.48/126.52 | (173) $false % 185.48/126.52 | % 185.48/126.52 |-The branch is then unsatisfiable % 185.48/126.52 |-Branch two: % 185.48/126.52 | (11532) all_453_0_1351 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.48/126.52 | % 185.48/126.52 | Applying alpha-rule on (11532) yields: % 185.48/126.52 | (11526) all_453_0_1351 = 0 % 185.48/126.52 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.48/126.52 | (1840) all_205_2_109 = all_0_9_9 % 185.48/126.52 | % 185.48/126.52 | From (1840) and (303) follows: % 185.48/126.52 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.48/126.52 | (261) all_135_0_89 = 0 % 185.48/126.52 | % 185.48/126.52 | Equations (261) can reduce 230 to: % 185.48/126.52 | (173) $false % 185.48/126.52 | % 185.48/126.52 |-The branch is then unsatisfiable % 185.48/126.52 |-Branch two: % 185.48/126.52 | (11520) all_434_0_1350 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.48/126.52 | % 185.48/126.52 | Applying alpha-rule on (11520) yields: % 185.48/126.52 | (11514) all_434_0_1350 = 0 % 185.48/126.52 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.48/126.52 | (424) all_181_1_103 = all_0_9_9 % 185.48/126.52 | % 185.48/126.52 | From (424) and (260) follows: % 185.48/126.52 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.48/126.52 | (261) all_135_0_89 = 0 % 185.48/126.52 | % 185.48/126.52 | Equations (261) can reduce 230 to: % 185.48/126.52 | (173) $false % 185.48/126.52 | % 185.48/126.52 |-The branch is then unsatisfiable % 185.48/126.52 |-Branch two: % 185.48/126.52 | (11311) all_402_0_1339 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.48/126.52 | % 185.48/126.52 | Applying alpha-rule on (11311) yields: % 185.48/126.52 | (11305) all_402_0_1339 = 0 % 185.48/126.52 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.48/126.52 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.48/126.52 | % 185.48/126.52 | Instantiating (508) with all_442_0_1353 yields: % 185.48/126.52 | (11574) (all_442_0_1353 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_442_0_1353 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.48/126.52 | % 185.48/126.52 +-Applying beta-rule and splitting (11394), into two cases. % 185.48/126.52 |-Branch one: % 185.48/126.52 | (11424) all_426_0_1346 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.48/126.52 | % 185.48/126.52 | Applying alpha-rule on (11424) yields: % 185.48/126.52 | (11425) all_426_0_1346 = 0 % 185.48/126.52 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.48/126.52 | (405) all_135_1_90 = all_0_6_6 % 185.48/126.52 | % 185.48/126.52 | From (405) and (231) follows: % 185.48/126.52 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.48/126.52 | % 185.48/126.52 +-Applying beta-rule and splitting (11490), into two cases. % 185.48/126.52 |-Branch one: % 185.48/126.52 | (11513) all_434_0_1350 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.48/126.52 | % 185.48/126.52 | Applying alpha-rule on (11513) yields: % 185.48/126.52 | (11514) all_434_0_1350 = 0 % 185.48/126.52 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.48/126.52 | (417) all_181_1_103 = all_0_6_6 % 185.48/126.52 | % 185.48/126.52 | From (417) and (260) follows: % 185.48/126.52 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.48/126.52 | % 185.48/126.52 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.48/126.52 | (261) all_135_0_89 = 0 % 185.48/126.52 | % 185.48/126.52 | Equations (261) can reduce 230 to: % 185.48/126.52 | (173) $false % 185.48/126.52 | % 185.48/126.52 |-The branch is then unsatisfiable % 185.48/126.52 |-Branch two: % 185.48/126.52 | (11520) all_434_0_1350 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.48/126.52 | % 185.48/126.53 | Applying alpha-rule on (11520) yields: % 185.52/126.53 | (11514) all_434_0_1350 = 0 % 185.52/126.53 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.52/126.53 | (424) all_181_1_103 = all_0_9_9 % 185.52/126.53 | % 185.52/126.53 | From (424) and (259) follows: % 185.52/126.53 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.52/126.53 | % 185.52/126.53 +-Applying beta-rule and splitting (11574), into two cases. % 185.52/126.53 |-Branch one: % 185.52/126.53 | (11592) all_442_0_1353 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.52/126.53 | % 185.52/126.53 | Applying alpha-rule on (11592) yields: % 185.52/126.53 | (11593) all_442_0_1353 = 0 % 185.52/126.53 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.52/126.53 | (525) all_226_1_115 = all_0_6_6 % 185.52/126.53 | % 185.52/126.53 | From (525) and (295) follows: % 185.52/126.53 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.52/126.53 | (261) all_135_0_89 = 0 % 185.52/126.53 | % 185.52/126.53 | Equations (261) can reduce 230 to: % 185.52/126.53 | (173) $false % 185.52/126.53 | % 185.52/126.53 |-The branch is then unsatisfiable % 185.52/126.53 |-Branch two: % 185.52/126.53 | (11599) all_442_0_1353 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.52/126.53 | % 185.52/126.53 | Applying alpha-rule on (11599) yields: % 185.52/126.53 | (11593) all_442_0_1353 = 0 % 185.52/126.53 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.52/126.53 | (532) all_226_1_115 = all_0_9_9 % 185.52/126.53 | % 185.52/126.53 | From (532) and (287) follows: % 185.52/126.53 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.52/126.53 | (288) all_181_0_102 = 0 % 185.52/126.53 | % 185.52/126.53 | Equations (288) can reduce 258 to: % 185.52/126.53 | (173) $false % 185.52/126.53 | % 185.52/126.53 |-The branch is then unsatisfiable % 185.52/126.53 |-Branch two: % 185.52/126.53 | (11455) all_426_0_1346 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.52/126.53 | % 185.52/126.53 | Applying alpha-rule on (11455) yields: % 185.52/126.53 | (11425) all_426_0_1346 = 0 % 185.52/126.53 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.52/126.53 | (412) all_135_1_90 = all_0_9_9 % 185.52/126.53 | % 185.52/126.53 | From (412) and (231) follows: % 185.52/126.53 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.52/126.53 | % 185.52/126.53 +-Applying beta-rule and splitting (11490), into two cases. % 185.52/126.53 |-Branch one: % 185.52/126.53 | (11513) all_434_0_1350 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.52/126.53 | % 185.52/126.53 | Applying alpha-rule on (11513) yields: % 185.52/126.53 | (11514) all_434_0_1350 = 0 % 185.52/126.53 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.52/126.53 | (417) all_181_1_103 = all_0_6_6 % 185.52/126.53 | % 185.52/126.53 | From (417) and (259) follows: % 185.52/126.53 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.52/126.53 | % 185.52/126.53 +-Applying beta-rule and splitting (11574), into two cases. % 185.52/126.53 |-Branch one: % 185.52/126.53 | (11592) all_442_0_1353 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.52/126.53 | % 185.52/126.53 | Applying alpha-rule on (11592) yields: % 185.52/126.53 | (11593) all_442_0_1353 = 0 % 185.52/126.53 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.52/126.53 | (525) all_226_1_115 = all_0_6_6 % 185.52/126.53 | % 185.52/126.53 | From (525) and (287) follows: % 185.52/126.53 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.52/126.53 | (288) all_181_0_102 = 0 % 185.52/126.53 | % 185.52/126.53 | Equations (288) can reduce 258 to: % 185.52/126.53 | (173) $false % 185.52/126.53 | % 185.52/126.53 |-The branch is then unsatisfiable % 185.52/126.53 |-Branch two: % 185.52/126.53 | (11599) all_442_0_1353 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.52/126.53 | % 185.52/126.53 | Applying alpha-rule on (11599) yields: % 185.52/126.53 | (11593) all_442_0_1353 = 0 % 185.52/126.53 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.52/126.53 | (532) all_226_1_115 = all_0_9_9 % 185.52/126.53 | % 185.52/126.53 | From (532) and (295) follows: % 185.52/126.53 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.52/126.53 | (261) all_135_0_89 = 0 % 185.52/126.53 | % 185.52/126.53 | Equations (261) can reduce 230 to: % 185.52/126.53 | (173) $false % 185.52/126.53 | % 185.52/126.53 |-The branch is then unsatisfiable % 185.52/126.53 |-Branch two: % 185.52/126.53 | (11520) all_434_0_1350 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.52/126.53 | % 185.52/126.53 | Applying alpha-rule on (11520) yields: % 185.52/126.53 | (11514) all_434_0_1350 = 0 % 185.52/126.53 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.52/126.53 | (424) all_181_1_103 = all_0_9_9 % 185.52/126.53 | % 185.52/126.53 | From (424) and (260) follows: % 185.52/126.53 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.52/126.53 | % 185.52/126.53 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.52/126.53 | (261) all_135_0_89 = 0 % 185.52/126.53 | % 185.52/126.53 | Equations (261) can reduce 230 to: % 185.52/126.53 | (173) $false % 185.52/126.53 | % 185.52/126.53 |-The branch is then unsatisfiable % 185.52/126.54 |-Branch two: % 185.52/126.54 | (11637) all_370_0_1335 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.52/126.54 | % 185.52/126.54 | Applying alpha-rule on (11637) yields: % 185.52/126.54 | (11283) all_370_0_1335 = 0 % 185.52/126.54 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.52/126.54 | % 185.52/126.54 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.52/126.54 | (1890) all_205_2_109 = all_0_5_5 % 185.52/126.54 | % 185.52/126.54 | From (1890) and (315) follows: % 185.52/126.54 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 185.52/126.54 | % 185.52/126.54 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 185.52/126.54 | (212) all_85_0_75 = 0 % 185.52/126.54 | % 185.52/126.54 | Equations (212) can reduce 181 to: % 185.52/126.54 | (173) $false % 185.52/126.54 | % 185.52/126.54 |-The branch is then unsatisfiable % 185.52/126.54 |-Branch two: % 185.52/126.54 | (11644) all_362_0_1334 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.52/126.54 | % 185.52/126.54 | Applying alpha-rule on (11644) yields: % 185.52/126.54 | (11278) all_362_0_1334 = 0 % 185.52/126.54 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.52/126.54 | % 185.52/126.54 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.52/126.54 | (582) all_226_1_115 = all_0_5_5 % 185.52/126.54 | % 185.52/126.54 | From (582) and (308) follows: % 185.52/126.54 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 185.52/126.54 | % 185.52/126.54 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 185.52/126.54 | (212) all_85_0_75 = 0 % 185.52/126.54 | % 185.52/126.54 | Equations (212) can reduce 181 to: % 185.52/126.54 | (173) $false % 185.52/126.54 | % 185.52/126.54 |-The branch is then unsatisfiable % 185.52/126.54 |-Branch two: % 185.52/126.54 | (11651) all_354_0_1333 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 185.52/126.54 | % 185.52/126.54 | Applying alpha-rule on (11651) yields: % 185.52/126.54 | (11273) all_354_0_1333 = 0 % 185.52/126.54 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 185.52/126.54 | % 185.52/126.54 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 185.52/126.54 | (474) all_181_1_103 = all_0_5_5 % 185.52/126.54 | % 185.52/126.54 | From (474) and (297) follows: % 185.52/126.54 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 185.52/126.54 | % 185.52/126.54 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 185.52/126.54 | (212) all_85_0_75 = 0 % 185.52/126.54 | % 185.52/126.54 | Equations (212) can reduce 181 to: % 185.52/126.54 | (173) $false % 185.52/126.54 | % 185.52/126.54 |-The branch is then unsatisfiable % 185.52/126.54 |-Branch two: % 185.52/126.54 | (11658) all_346_0_1332 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 185.52/126.54 | % 185.52/126.54 | Applying alpha-rule on (11658) yields: % 185.52/126.54 | (11268) all_346_0_1332 = 0 % 185.52/126.54 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 185.52/126.54 | % 185.52/126.54 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 185.52/126.54 | (589) all_135_1_90 = all_0_5_5 % 185.52/126.54 | % 185.52/126.54 | From (589) and (241) follows: % 185.52/126.54 | (7675) mem(all_0_5_5, all_57_1_65) = 0 % 185.52/126.54 | % 185.52/126.54 | Instantiating formula (58) with all_0_5_5, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_5_5, all_57_1_65) = all_85_0_75, mem(all_0_5_5, all_57_1_65) = 0, yields: % 185.52/126.54 | (212) all_85_0_75 = 0 % 185.52/126.54 | % 185.52/126.54 | Equations (212) can reduce 181 to: % 185.52/126.54 | (173) $false % 185.52/126.54 | % 185.52/126.54 |-The branch is then unsatisfiable % 185.52/126.54 |-Branch two: % 185.52/126.54 | (11214) all_321_0_1136 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 185.52/126.54 | % 185.52/126.54 | Applying alpha-rule on (11214) yields: % 185.52/126.54 | (9492) all_321_0_1136 = 0 % 185.52/126.54 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 185.52/126.54 | % 185.52/126.54 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 185.52/126.54 | (2955) all_205_2_109 = all_0_8_8 % 185.52/126.54 | % 185.52/126.54 | From (2955) and (309) follows: % 185.52/126.55 | (11218) mem(all_0_8_8, all_74_1_72) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (58) with all_0_8_8, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_8_8, all_74_1_72) = all_110_0_83, mem(all_0_8_8, all_74_1_72) = 0, yields: % 185.52/126.55 | (233) all_110_0_83 = 0 % 185.52/126.55 | % 185.52/126.55 | Equations (233) can reduce 209 to: % 185.52/126.55 | (173) $false % 185.52/126.55 | % 185.52/126.55 |-The branch is then unsatisfiable % 185.52/126.55 |-Branch two: % 185.52/126.55 | (11221) all_314_0_1135 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 185.52/126.55 | % 185.52/126.55 | Applying alpha-rule on (11221) yields: % 185.52/126.55 | (9487) all_314_0_1135 = 0 % 185.52/126.55 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 185.52/126.55 | (1647) all_226_1_115 = all_0_8_8 % 185.52/126.55 | % 185.52/126.55 | From (1647) and (302) follows: % 185.52/126.55 | (11218) mem(all_0_8_8, all_74_1_72) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (58) with all_0_8_8, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_8_8, all_74_1_72) = all_110_0_83, mem(all_0_8_8, all_74_1_72) = 0, yields: % 185.52/126.55 | (233) all_110_0_83 = 0 % 185.52/126.55 | % 185.52/126.55 | Equations (233) can reduce 209 to: % 185.52/126.55 | (173) $false % 185.52/126.55 | % 185.52/126.55 |-The branch is then unsatisfiable % 185.52/126.55 |-Branch two: % 185.52/126.55 | (11228) all_295_0_1132 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 185.52/126.55 | % 185.52/126.55 | Applying alpha-rule on (11228) yields: % 185.52/126.55 | (9482) all_295_0_1132 = 0 % 185.52/126.55 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 185.52/126.55 | (2962) all_181_1_103 = all_0_8_8 % 185.52/126.55 | % 185.52/126.55 | From (2962) and (269) follows: % 185.52/126.55 | (11218) mem(all_0_8_8, all_74_1_72) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (58) with all_0_8_8, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_8_8, all_74_1_72) = all_110_0_83, mem(all_0_8_8, all_74_1_72) = 0, yields: % 185.52/126.55 | (233) all_110_0_83 = 0 % 185.52/126.55 | % 185.52/126.55 | Equations (233) can reduce 209 to: % 185.52/126.55 | (173) $false % 185.52/126.55 | % 185.52/126.55 |-The branch is then unsatisfiable % 185.52/126.55 |-Branch two: % 185.52/126.55 | (5721) all_255_0_119 = 0 & mem(all_135_1_90, all_0_7_7) = 0 % 185.52/126.55 | % 185.52/126.55 | Applying alpha-rule on (5721) yields: % 185.52/126.55 | (327) all_255_0_119 = 0 % 185.52/126.55 | (5723) mem(all_135_1_90, all_0_7_7) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_135_1_90 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_135_1_90, all_0_7_7) = 0, yields: % 185.52/126.55 | (5724) all_135_1_90 = all_0_8_8 % 185.52/126.55 | % 185.52/126.55 | From (5724) and (232) follows: % 185.52/126.55 | (11218) mem(all_0_8_8, all_74_1_72) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (58) with all_0_8_8, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_8_8, all_74_1_72) = all_110_0_83, mem(all_0_8_8, all_74_1_72) = 0, yields: % 185.52/126.55 | (233) all_110_0_83 = 0 % 185.52/126.55 | % 185.52/126.55 | Equations (233) can reduce 209 to: % 185.52/126.55 | (173) $false % 185.52/126.55 | % 185.52/126.55 |-The branch is then unsatisfiable % 185.52/126.55 |-Branch two: % 185.52/126.55 | (11693) all_96_0_77 = 0 & mem(all_85_1_76, all_0_7_7) = 0 % 185.52/126.55 | % 185.52/126.55 | Applying alpha-rule on (11693) yields: % 185.52/126.55 | (293) all_96_0_77 = 0 % 185.52/126.55 | (11695) mem(all_85_1_76, all_0_7_7) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_85_1_76 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_85_1_76, all_0_7_7) = 0, yields: % 185.52/126.55 | (11696) all_85_1_76 = all_0_8_8 % 185.52/126.55 | % 185.52/126.55 | From (11696) and (182) follows: % 185.52/126.55 | (11697) mem(all_0_8_8, all_57_1_65) = all_85_0_75 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (127) with all_226_1_115, all_99_1_80, all_129_1_88 and discharging atoms subq(all_129_1_88, all_99_1_80) = 0, mem(all_226_1_115, all_129_1_88) = 0, yields: % 185.52/126.55 | (295) mem(all_226_1_115, all_99_1_80) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (127) with all_205_2_109, all_129_1_88, all_165_1_98 and discharging atoms subq(all_165_1_98, all_129_1_88) = 0, mem(all_205_2_109, all_165_1_98) = 0, yields: % 185.52/126.55 | (296) mem(all_205_2_109, all_129_1_88) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (127) with all_181_1_103, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_181_1_103, all_74_1_72) = 0, yields: % 185.52/126.55 | (297) mem(all_181_1_103, all_57_1_65) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_135_1_90 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_135_1_90, all_0_0_0) = 0, yields: % 185.52/126.55 | (298) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_1_1) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_7_7) = 0)) % 185.52/126.55 | % 185.52/126.55 | Instantiating (298) with all_258_0_1367 yields: % 185.52/126.55 | (11702) (all_258_0_1367 = 0 & mem(all_135_1_90, all_0_1_1) = 0) | (all_258_0_1367 = 0 & mem(all_135_1_90, all_0_7_7) = 0) % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (127) with all_226_1_115, all_74_1_72, all_99_1_80 and discharging atoms subq(all_99_1_80, all_74_1_72) = 0, mem(all_226_1_115, all_99_1_80) = 0, yields: % 185.52/126.55 | (302) mem(all_226_1_115, all_74_1_72) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (127) with all_205_2_109, all_99_1_80, all_129_1_88 and discharging atoms subq(all_129_1_88, all_99_1_80) = 0, mem(all_205_2_109, all_129_1_88) = 0, yields: % 185.52/126.55 | (303) mem(all_205_2_109, all_99_1_80) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (127) with all_181_1_103, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_181_1_103, all_57_1_65) = 0, yields: % 185.52/126.55 | (304) mem(all_181_1_103, all_0_0_0) = 0 % 185.52/126.55 | % 185.52/126.55 +-Applying beta-rule and splitting (243), into two cases. % 185.52/126.55 |-Branch one: % 185.52/126.55 | (305) all_162_0_95 = 0 & mem(all_110_1_84, all_0_1_1) = 0 % 185.52/126.55 | % 185.52/126.55 | Applying alpha-rule on (305) yields: % 185.52/126.55 | (306) all_162_0_95 = 0 % 185.52/126.55 | (307) mem(all_110_1_84, all_0_1_1) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (127) with all_226_1_115, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_226_1_115, all_74_1_72) = 0, yields: % 185.52/126.55 | (308) mem(all_226_1_115, all_57_1_65) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (127) with all_205_2_109, all_74_1_72, all_99_1_80 and discharging atoms subq(all_99_1_80, all_74_1_72) = 0, mem(all_205_2_109, all_99_1_80) = 0, yields: % 185.52/126.55 | (309) mem(all_205_2_109, all_74_1_72) = 0 % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_181_1_103 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_181_1_103, all_0_0_0) = 0, yields: % 185.52/126.55 | (310) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_1_1) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_7_7) = 0)) % 185.52/126.55 | % 185.52/126.55 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_110_1_84 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_110_1_84, all_0_1_1) = 0, yields: % 185.52/126.55 | (311) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_2_2) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_4_4) = 0)) % 185.52/126.55 | % 185.52/126.55 | Instantiating (311) with all_294_0_1373 yields: % 185.52/126.55 | (11713) (all_294_0_1373 = 0 & mem(all_110_1_84, all_0_2_2) = 0) | (all_294_0_1373 = 0 & mem(all_110_1_84, all_0_4_4) = 0) % 185.52/126.55 | % 185.52/126.55 | Instantiating (310) with all_295_0_1374 yields: % 185.52/126.56 | (11714) (all_295_0_1374 = 0 & mem(all_181_1_103, all_0_1_1) = 0) | (all_295_0_1374 = 0 & mem(all_181_1_103, all_0_7_7) = 0) % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (127) with all_226_1_115, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_226_1_115, all_57_1_65) = 0, yields: % 185.52/126.56 | (314) mem(all_226_1_115, all_0_0_0) = 0 % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (127) with all_205_2_109, all_57_1_65, all_74_1_72 and discharging atoms subq(all_74_1_72, all_57_1_65) = 0, mem(all_205_2_109, all_74_1_72) = 0, yields: % 185.52/126.56 | (315) mem(all_205_2_109, all_57_1_65) = 0 % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_226_1_115 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_226_1_115, all_0_0_0) = 0, yields: % 185.52/126.56 | (316) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_1_1) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_7_7) = 0)) % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (127) with all_205_2_109, all_0_0_0, all_57_1_65 and discharging atoms subq(all_57_1_65, all_0_0_0) = 0, mem(all_205_2_109, all_57_1_65) = 0, yields: % 185.52/126.56 | (317) mem(all_205_2_109, all_0_0_0) = 0 % 185.52/126.56 | % 185.52/126.56 | Instantiating (316) with all_314_0_1377 yields: % 185.52/126.56 | (11719) (all_314_0_1377 = 0 & mem(all_226_1_115, all_0_1_1) = 0) | (all_314_0_1377 = 0 & mem(all_226_1_115, all_0_7_7) = 0) % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (69) with all_0_0_0, all_0_1_1, all_0_7_7, all_205_2_109 and discharging atoms u(all_0_7_7, all_0_1_1) = all_0_0_0, mem(all_205_2_109, all_0_0_0) = 0, yields: % 185.52/126.56 | (319) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_1_1) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_7_7) = 0)) % 185.52/126.56 | % 185.52/126.56 | Instantiating (319) with all_321_0_1378 yields: % 185.52/126.56 | (11721) (all_321_0_1378 = 0 & mem(all_205_2_109, all_0_1_1) = 0) | (all_321_0_1378 = 0 & mem(all_205_2_109, all_0_7_7) = 0) % 185.52/126.56 | % 185.52/126.56 +-Applying beta-rule and splitting (11702), into two cases. % 185.52/126.56 |-Branch one: % 185.52/126.56 | (11722) all_258_0_1367 = 0 & mem(all_135_1_90, all_0_1_1) = 0 % 185.52/126.56 | % 185.52/126.56 | Applying alpha-rule on (11722) yields: % 185.52/126.56 | (11723) all_258_0_1367 = 0 % 185.52/126.56 | (328) mem(all_135_1_90, all_0_1_1) = 0 % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_135_1_90 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_135_1_90, all_0_1_1) = 0, yields: % 185.52/126.56 | (329) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_4_4) = 0)) % 185.52/126.56 | % 185.52/126.56 | Instantiating (329) with all_335_0_1380 yields: % 185.52/126.56 | (11726) (all_335_0_1380 = 0 & mem(all_135_1_90, all_0_2_2) = 0) | (all_335_0_1380 = 0 & mem(all_135_1_90, all_0_4_4) = 0) % 185.52/126.56 | % 185.52/126.56 +-Applying beta-rule and splitting (11713), into two cases. % 185.52/126.56 |-Branch one: % 185.52/126.56 | (11727) all_294_0_1373 = 0 & mem(all_110_1_84, all_0_2_2) = 0 % 185.52/126.56 | % 185.52/126.56 | Applying alpha-rule on (11727) yields: % 185.52/126.56 | (11728) all_294_0_1373 = 0 % 185.52/126.56 | (333) mem(all_110_1_84, all_0_2_2) = 0 % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_110_1_84, all_0_2_2) = 0, yields: % 185.52/126.56 | (334) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_3_3) = 0)) % 185.52/126.56 | % 185.52/126.56 | Instantiating (334) with all_343_0_1381 yields: % 185.52/126.56 | (11731) (all_343_0_1381 = 0 & mem(all_110_1_84, all_72_0_70) = 0) | (all_343_0_1381 = 0 & mem(all_110_1_84, all_0_3_3) = 0) % 185.52/126.56 | % 185.52/126.56 +-Applying beta-rule and splitting (11714), into two cases. % 185.52/126.56 |-Branch one: % 185.52/126.56 | (11732) all_295_0_1374 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 185.52/126.56 | % 185.52/126.56 | Applying alpha-rule on (11732) yields: % 185.52/126.56 | (11733) all_295_0_1374 = 0 % 185.52/126.56 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 185.52/126.56 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 185.52/126.56 | % 185.52/126.56 | Instantiating (339) with all_351_0_1382 yields: % 185.52/126.56 | (11736) (all_351_0_1382 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_351_0_1382 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 185.52/126.56 | % 185.52/126.56 +-Applying beta-rule and splitting (11719), into two cases. % 185.52/126.56 |-Branch one: % 185.52/126.56 | (11737) all_314_0_1377 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 185.52/126.56 | % 185.52/126.56 | Applying alpha-rule on (11737) yields: % 185.52/126.56 | (11738) all_314_0_1377 = 0 % 185.52/126.56 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 185.52/126.56 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 185.52/126.56 | % 185.52/126.56 | Instantiating (344) with all_359_0_1383 yields: % 185.52/126.56 | (11741) (all_359_0_1383 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_359_0_1383 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 185.52/126.56 | % 185.52/126.56 +-Applying beta-rule and splitting (11721), into two cases. % 185.52/126.56 |-Branch one: % 185.52/126.56 | (11742) all_321_0_1378 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 185.52/126.56 | % 185.52/126.56 | Applying alpha-rule on (11742) yields: % 185.52/126.56 | (11743) all_321_0_1378 = 0 % 185.52/126.56 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 185.52/126.56 | % 185.52/126.56 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 185.52/126.56 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 185.52/126.56 | % 185.52/126.56 | Instantiating (1652) with all_367_0_1384 yields: % 185.52/126.56 | (11746) (all_367_0_1384 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_367_0_1384 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 185.52/126.56 | % 185.52/126.56 +-Applying beta-rule and splitting (11726), into two cases. % 185.52/126.56 |-Branch one: % 185.52/126.56 | (11747) all_335_0_1380 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 185.52/126.56 | % 185.52/126.56 | Applying alpha-rule on (11747) yields: % 185.52/126.56 | (11748) all_335_0_1380 = 0 % 185.52/126.56 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 185.52/126.57 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 185.52/126.57 | % 185.52/126.57 | Instantiating (354) with all_383_0_1386 yields: % 185.52/126.57 | (11751) (all_383_0_1386 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_383_0_1386 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 185.52/126.57 | % 185.52/126.57 +-Applying beta-rule and splitting (11731), into two cases. % 185.52/126.57 |-Branch one: % 185.52/126.57 | (11752) all_343_0_1381 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 185.52/126.57 | % 185.52/126.57 | Applying alpha-rule on (11752) yields: % 185.52/126.57 | (11753) all_343_0_1381 = 0 % 185.52/126.57 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 185.52/126.57 | (359) all_110_1_84 = all_0_3_3 % 185.52/126.57 | % 185.52/126.57 | From (359) and (210) follows: % 185.52/126.57 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 185.52/126.57 | % 185.52/126.57 +-Applying beta-rule and splitting (11736), into two cases. % 185.52/126.57 |-Branch one: % 185.52/126.57 | (11757) all_351_0_1382 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 185.52/126.57 | % 185.52/126.57 | Applying alpha-rule on (11757) yields: % 185.52/126.57 | (11758) all_351_0_1382 = 0 % 185.52/126.57 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 185.52/126.57 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 185.52/126.57 | % 185.52/126.57 | Instantiating (371) with all_402_0_1387 yields: % 185.52/126.57 | (11761) (all_402_0_1387 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_402_0_1387 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 185.52/126.57 | % 185.52/126.57 +-Applying beta-rule and splitting (11741), into two cases. % 185.52/126.57 |-Branch one: % 185.52/126.57 | (11762) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.52/126.57 | % 185.52/126.57 | Applying alpha-rule on (11762) yields: % 185.52/126.57 | (11763) all_359_0_1383 = 0 % 185.52/126.57 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.52/126.57 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.52/126.57 | % 185.52/126.57 | Instantiating (479) with all_410_0_1388 yields: % 185.52/126.57 | (11766) (all_410_0_1388 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_1388 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.52/126.57 | % 185.52/126.57 +-Applying beta-rule and splitting (11751), into two cases. % 185.52/126.57 |-Branch one: % 185.52/126.57 | (11767) all_383_0_1386 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.52/126.57 | % 185.52/126.57 | Applying alpha-rule on (11767) yields: % 185.52/126.57 | (11768) all_383_0_1386 = 0 % 185.52/126.57 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.52/126.57 | (376) all_135_1_90 = all_0_3_3 % 185.52/126.57 | % 185.52/126.57 | From (376) and (232) follows: % 185.52/126.57 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.52/126.57 | (233) all_110_0_83 = 0 % 185.52/126.57 | % 185.52/126.57 | Equations (233) can reduce 209 to: % 185.52/126.57 | (173) $false % 185.52/126.57 | % 185.52/126.57 |-The branch is then unsatisfiable % 185.52/126.57 |-Branch two: % 185.52/126.57 | (11774) all_383_0_1386 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.52/126.57 | % 185.52/126.57 | Applying alpha-rule on (11774) yields: % 185.52/126.57 | (11768) all_383_0_1386 = 0 % 185.52/126.57 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.52/126.57 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.52/126.57 | % 185.52/126.57 | Instantiating (383) with all_434_0_1391 yields: % 185.52/126.57 | (11778) (all_434_0_1391 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_434_0_1391 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.52/126.57 | % 185.52/126.57 +-Applying beta-rule and splitting (11761), into two cases. % 185.52/126.57 |-Branch one: % 185.52/126.57 | (11779) all_402_0_1387 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.52/126.57 | % 185.52/126.57 | Applying alpha-rule on (11779) yields: % 185.52/126.57 | (11780) all_402_0_1387 = 0 % 185.52/126.57 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.52/126.57 | (393) all_181_1_103 = all_0_3_3 % 185.52/126.57 | % 185.52/126.57 | From (393) and (269) follows: % 185.52/126.57 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.52/126.57 | (233) all_110_0_83 = 0 % 185.52/126.57 | % 185.52/126.57 | Equations (233) can reduce 209 to: % 185.52/126.57 | (173) $false % 185.52/126.57 | % 185.52/126.57 |-The branch is then unsatisfiable % 185.52/126.57 |-Branch two: % 185.52/126.57 | (11786) all_402_0_1387 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.52/126.57 | % 185.52/126.57 | Applying alpha-rule on (11786) yields: % 185.52/126.57 | (11780) all_402_0_1387 = 0 % 185.52/126.57 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.52/126.57 | % 185.52/126.57 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.52/126.57 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.52/126.57 | % 185.52/126.57 | Instantiating (400) with all_442_0_1392 yields: % 185.52/126.57 | (11790) (all_442_0_1392 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_442_0_1392 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.52/126.57 | % 185.52/126.57 +-Applying beta-rule and splitting (11766), into two cases. % 185.52/126.57 |-Branch one: % 185.52/126.58 | (11791) all_410_0_1388 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.52/126.58 | % 185.52/126.58 | Applying alpha-rule on (11791) yields: % 185.52/126.58 | (11792) all_410_0_1388 = 0 % 185.52/126.58 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.52/126.58 | (501) all_226_1_115 = all_0_3_3 % 185.52/126.58 | % 185.52/126.58 | From (501) and (302) follows: % 185.52/126.58 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.52/126.58 | (233) all_110_0_83 = 0 % 185.52/126.58 | % 185.52/126.58 | Equations (233) can reduce 209 to: % 185.52/126.58 | (173) $false % 185.52/126.58 | % 185.52/126.58 |-The branch is then unsatisfiable % 185.52/126.58 |-Branch two: % 185.52/126.58 | (11798) all_410_0_1388 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.52/126.58 | % 185.52/126.58 | Applying alpha-rule on (11798) yields: % 185.52/126.58 | (11792) all_410_0_1388 = 0 % 185.52/126.58 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.52/126.58 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.52/126.58 | % 185.52/126.58 | Instantiating (508) with all_450_0_1393 yields: % 185.52/126.58 | (11802) (all_450_0_1393 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_450_0_1393 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.52/126.58 | % 185.52/126.58 +-Applying beta-rule and splitting (11778), into two cases. % 185.52/126.58 |-Branch one: % 185.52/126.58 | (11803) all_434_0_1391 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.52/126.58 | % 185.52/126.58 | Applying alpha-rule on (11803) yields: % 185.52/126.58 | (11804) all_434_0_1391 = 0 % 185.52/126.58 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.52/126.58 | (405) all_135_1_90 = all_0_6_6 % 185.52/126.58 | % 185.52/126.58 | From (405) and (231) follows: % 185.52/126.58 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.52/126.58 | % 185.52/126.58 +-Applying beta-rule and splitting (11790), into two cases. % 185.52/126.58 |-Branch one: % 185.52/126.58 | (11808) all_442_0_1392 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.52/126.58 | % 185.52/126.58 | Applying alpha-rule on (11808) yields: % 185.52/126.58 | (11809) all_442_0_1392 = 0 % 185.52/126.58 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.52/126.58 | (417) all_181_1_103 = all_0_6_6 % 185.52/126.58 | % 185.52/126.58 | From (417) and (260) follows: % 185.52/126.58 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.52/126.58 | (261) all_135_0_89 = 0 % 185.52/126.58 | % 185.52/126.58 | Equations (261) can reduce 230 to: % 185.52/126.58 | (173) $false % 185.52/126.58 | % 185.52/126.58 |-The branch is then unsatisfiable % 185.52/126.58 |-Branch two: % 185.52/126.58 | (11815) all_442_0_1392 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.52/126.58 | % 185.52/126.58 | Applying alpha-rule on (11815) yields: % 185.52/126.58 | (11809) all_442_0_1392 = 0 % 185.52/126.58 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.52/126.58 | (424) all_181_1_103 = all_0_9_9 % 185.52/126.58 | % 185.52/126.58 | From (424) and (259) follows: % 185.52/126.58 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.52/126.58 | % 185.52/126.58 +-Applying beta-rule and splitting (11802), into two cases. % 185.52/126.58 |-Branch one: % 185.52/126.58 | (11820) all_450_0_1393 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.52/126.58 | % 185.52/126.58 | Applying alpha-rule on (11820) yields: % 185.52/126.58 | (11821) all_450_0_1393 = 0 % 185.52/126.58 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.52/126.58 | (525) all_226_1_115 = all_0_6_6 % 185.52/126.58 | % 185.52/126.58 | From (525) and (295) follows: % 185.52/126.58 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.52/126.58 | (261) all_135_0_89 = 0 % 185.52/126.58 | % 185.52/126.58 | Equations (261) can reduce 230 to: % 185.52/126.58 | (173) $false % 185.52/126.58 | % 185.52/126.58 |-The branch is then unsatisfiable % 185.52/126.58 |-Branch two: % 185.52/126.58 | (11827) all_450_0_1393 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.52/126.58 | % 185.52/126.58 | Applying alpha-rule on (11827) yields: % 185.52/126.58 | (11821) all_450_0_1393 = 0 % 185.52/126.58 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.52/126.58 | (532) all_226_1_115 = all_0_9_9 % 185.52/126.58 | % 185.52/126.58 | From (532) and (287) follows: % 185.52/126.58 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.52/126.58 | (288) all_181_0_102 = 0 % 185.52/126.58 | % 185.52/126.58 | Equations (288) can reduce 258 to: % 185.52/126.58 | (173) $false % 185.52/126.58 | % 185.52/126.58 |-The branch is then unsatisfiable % 185.52/126.58 |-Branch two: % 185.52/126.58 | (11834) all_434_0_1391 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.52/126.58 | % 185.52/126.58 | Applying alpha-rule on (11834) yields: % 185.52/126.58 | (11804) all_434_0_1391 = 0 % 185.52/126.58 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.52/126.58 | % 185.52/126.58 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.52/126.58 | (412) all_135_1_90 = all_0_9_9 % 185.52/126.58 | % 185.52/126.58 | From (412) and (231) follows: % 185.52/126.58 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.52/126.58 | % 185.52/126.58 +-Applying beta-rule and splitting (11790), into two cases. % 185.52/126.58 |-Branch one: % 185.52/126.58 | (11808) all_442_0_1392 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.52/126.59 | % 185.52/126.59 | Applying alpha-rule on (11808) yields: % 185.52/126.59 | (11809) all_442_0_1392 = 0 % 185.52/126.59 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.52/126.59 | (417) all_181_1_103 = all_0_6_6 % 185.52/126.59 | % 185.52/126.59 | From (417) and (259) follows: % 185.52/126.59 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.52/126.59 | % 185.52/126.59 +-Applying beta-rule and splitting (11802), into two cases. % 185.52/126.59 |-Branch one: % 185.52/126.59 | (11820) all_450_0_1393 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.52/126.59 | % 185.52/126.59 | Applying alpha-rule on (11820) yields: % 185.52/126.59 | (11821) all_450_0_1393 = 0 % 185.52/126.59 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.52/126.59 | (525) all_226_1_115 = all_0_6_6 % 185.52/126.59 | % 185.52/126.59 | From (525) and (287) follows: % 185.52/126.59 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.52/126.59 | (288) all_181_0_102 = 0 % 185.52/126.59 | % 185.52/126.59 | Equations (288) can reduce 258 to: % 185.52/126.59 | (173) $false % 185.52/126.59 | % 185.52/126.59 |-The branch is then unsatisfiable % 185.52/126.59 |-Branch two: % 185.52/126.59 | (11827) all_450_0_1393 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.52/126.59 | % 185.52/126.59 | Applying alpha-rule on (11827) yields: % 185.52/126.59 | (11821) all_450_0_1393 = 0 % 185.52/126.59 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.52/126.59 | (532) all_226_1_115 = all_0_9_9 % 185.52/126.59 | % 185.52/126.59 | From (532) and (295) follows: % 185.52/126.59 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.52/126.59 | (261) all_135_0_89 = 0 % 185.52/126.59 | % 185.52/126.59 | Equations (261) can reduce 230 to: % 185.52/126.59 | (173) $false % 185.52/126.59 | % 185.52/126.59 |-The branch is then unsatisfiable % 185.52/126.59 |-Branch two: % 185.52/126.59 | (11815) all_442_0_1392 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.52/126.59 | % 185.52/126.59 | Applying alpha-rule on (11815) yields: % 185.52/126.59 | (11809) all_442_0_1392 = 0 % 185.52/126.59 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.52/126.59 | (424) all_181_1_103 = all_0_9_9 % 185.52/126.59 | % 185.52/126.59 | From (424) and (260) follows: % 185.52/126.59 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.52/126.59 | (261) all_135_0_89 = 0 % 185.52/126.59 | % 185.52/126.59 | Equations (261) can reduce 230 to: % 185.52/126.59 | (173) $false % 185.52/126.59 | % 185.52/126.59 |-The branch is then unsatisfiable % 185.52/126.59 |-Branch two: % 185.52/126.59 | (11865) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.52/126.59 | % 185.52/126.59 | Applying alpha-rule on (11865) yields: % 185.52/126.59 | (11763) all_359_0_1383 = 0 % 185.52/126.59 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.52/126.59 | (582) all_226_1_115 = all_0_5_5 % 185.52/126.59 | % 185.52/126.59 | From (582) and (286) follows: % 185.52/126.59 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 185.52/126.59 | % 185.52/126.59 +-Applying beta-rule and splitting (11746), into two cases. % 185.52/126.59 |-Branch one: % 185.52/126.59 | (11870) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.52/126.59 | % 185.52/126.59 | Applying alpha-rule on (11870) yields: % 185.52/126.59 | (11871) all_367_0_1384 = 0 % 185.52/126.59 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.52/126.59 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.52/126.59 | % 185.52/126.59 | Instantiating (1787) with all_421_0_1396 yields: % 185.52/126.59 | (11874) (all_421_0_1396 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_1396 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.52/126.59 | % 185.52/126.59 +-Applying beta-rule and splitting (11751), into two cases. % 185.52/126.59 |-Branch one: % 185.52/126.59 | (11767) all_383_0_1386 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.52/126.59 | % 185.52/126.59 | Applying alpha-rule on (11767) yields: % 185.52/126.59 | (11768) all_383_0_1386 = 0 % 185.52/126.59 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.52/126.59 | % 185.52/126.59 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.52/126.59 | (376) all_135_1_90 = all_0_3_3 % 185.52/126.60 | % 185.52/126.60 | From (376) and (232) follows: % 185.52/126.60 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.52/126.60 | % 185.52/126.60 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.52/126.60 | (233) all_110_0_83 = 0 % 185.52/126.60 | % 185.52/126.60 | Equations (233) can reduce 209 to: % 185.52/126.60 | (173) $false % 185.52/126.60 | % 185.52/126.60 |-The branch is then unsatisfiable % 185.52/126.60 |-Branch two: % 185.52/126.60 | (11774) all_383_0_1386 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.52/126.60 | % 185.52/126.60 | Applying alpha-rule on (11774) yields: % 185.52/126.60 | (11768) all_383_0_1386 = 0 % 185.52/126.60 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.52/126.60 | % 185.52/126.60 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.52/126.60 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.52/126.60 | % 185.52/126.60 | Instantiating (383) with all_437_0_1398 yields: % 185.52/126.60 | (11886) (all_437_0_1398 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_437_0_1398 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.52/126.60 | % 185.52/126.60 +-Applying beta-rule and splitting (11761), into two cases. % 185.52/126.60 |-Branch one: % 185.52/126.60 | (11779) all_402_0_1387 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.52/126.60 | % 185.52/126.60 | Applying alpha-rule on (11779) yields: % 185.52/126.60 | (11780) all_402_0_1387 = 0 % 185.52/126.60 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.52/126.60 | % 185.52/126.60 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.52/126.60 | (393) all_181_1_103 = all_0_3_3 % 185.52/126.60 | % 185.52/126.60 | From (393) and (269) follows: % 185.52/126.60 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.52/126.60 | % 185.52/126.60 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.52/126.60 | (233) all_110_0_83 = 0 % 185.52/126.60 | % 185.52/126.60 | Equations (233) can reduce 209 to: % 185.52/126.60 | (173) $false % 185.52/126.60 | % 185.52/126.60 |-The branch is then unsatisfiable % 185.52/126.60 |-Branch two: % 185.52/126.60 | (11786) all_402_0_1387 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.52/126.60 | % 185.52/126.60 | Applying alpha-rule on (11786) yields: % 185.52/126.60 | (11780) all_402_0_1387 = 0 % 185.52/126.60 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.52/126.60 | % 185.52/126.60 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.52/126.60 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.52/126.60 | % 185.52/126.60 | Instantiating (400) with all_445_0_1399 yields: % 185.52/126.60 | (11898) (all_445_0_1399 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_1399 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.52/126.60 | % 185.52/126.60 +-Applying beta-rule and splitting (11874), into two cases. % 185.52/126.60 |-Branch one: % 185.52/126.60 | (11899) all_421_0_1396 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.52/126.60 | % 185.52/126.60 | Applying alpha-rule on (11899) yields: % 185.52/126.60 | (11900) all_421_0_1396 = 0 % 185.52/126.60 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.52/126.60 | % 185.52/126.60 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.52/126.60 | (1809) all_205_2_109 = all_0_3_3 % 185.52/126.60 | % 185.52/126.60 | From (1809) and (309) follows: % 185.52/126.60 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.52/126.60 | % 185.52/126.60 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.52/126.60 | (233) all_110_0_83 = 0 % 185.52/126.60 | % 185.52/126.60 | Equations (233) can reduce 209 to: % 185.52/126.60 | (173) $false % 185.52/126.60 | % 185.52/126.60 |-The branch is then unsatisfiable % 185.52/126.60 |-Branch two: % 185.52/126.60 | (11906) all_421_0_1396 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.52/126.60 | % 185.60/126.60 | Applying alpha-rule on (11906) yields: % 185.60/126.60 | (11900) all_421_0_1396 = 0 % 185.60/126.60 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.60/126.60 | % 185.60/126.60 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.60/126.60 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.60/126.60 | % 185.60/126.60 | Instantiating (1816) with all_453_0_1400 yields: % 185.60/126.60 | (11910) (all_453_0_1400 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1400 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.60/126.60 | % 185.60/126.60 +-Applying beta-rule and splitting (11886), into two cases. % 185.60/126.60 |-Branch one: % 185.60/126.60 | (11911) all_437_0_1398 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.60/126.60 | % 185.60/126.60 | Applying alpha-rule on (11911) yields: % 185.60/126.60 | (11912) all_437_0_1398 = 0 % 185.60/126.60 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.60/126.60 | % 185.60/126.60 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.60/126.60 | (405) all_135_1_90 = all_0_6_6 % 185.60/126.60 | % 185.60/126.60 | From (405) and (231) follows: % 185.60/126.60 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.60/126.60 | % 185.60/126.60 +-Applying beta-rule and splitting (11898), into two cases. % 185.60/126.60 |-Branch one: % 185.60/126.60 | (11916) all_445_0_1399 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.60/126.60 | % 185.60/126.60 | Applying alpha-rule on (11916) yields: % 185.60/126.60 | (11917) all_445_0_1399 = 0 % 185.60/126.60 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.60/126.60 | % 185.60/126.60 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.60/126.60 | (417) all_181_1_103 = all_0_6_6 % 185.60/126.60 | % 185.60/126.60 | From (417) and (260) follows: % 185.60/126.60 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.60/126.60 | % 185.60/126.60 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.60/126.60 | (261) all_135_0_89 = 0 % 185.60/126.60 | % 185.60/126.60 | Equations (261) can reduce 230 to: % 185.60/126.60 | (173) $false % 185.60/126.60 | % 185.60/126.60 |-The branch is then unsatisfiable % 185.60/126.60 |-Branch two: % 185.60/126.60 | (11923) all_445_0_1399 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.60/126.60 | % 185.60/126.60 | Applying alpha-rule on (11923) yields: % 185.60/126.61 | (11917) all_445_0_1399 = 0 % 185.60/126.61 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.60/126.61 | (424) all_181_1_103 = all_0_9_9 % 185.60/126.61 | % 185.60/126.61 | From (424) and (259) follows: % 185.60/126.61 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.60/126.61 | % 185.60/126.61 +-Applying beta-rule and splitting (11910), into two cases. % 185.60/126.61 |-Branch one: % 185.60/126.61 | (11928) all_453_0_1400 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.60/126.61 | % 185.60/126.61 | Applying alpha-rule on (11928) yields: % 185.60/126.61 | (11929) all_453_0_1400 = 0 % 185.60/126.61 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.60/126.61 | (1833) all_205_2_109 = all_0_6_6 % 185.60/126.61 | % 185.60/126.61 | From (1833) and (303) follows: % 185.60/126.61 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.60/126.61 | (261) all_135_0_89 = 0 % 185.60/126.61 | % 185.60/126.61 | Equations (261) can reduce 230 to: % 185.60/126.61 | (173) $false % 185.60/126.61 | % 185.60/126.61 |-The branch is then unsatisfiable % 185.60/126.61 |-Branch two: % 185.60/126.61 | (11935) all_453_0_1400 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.60/126.61 | % 185.60/126.61 | Applying alpha-rule on (11935) yields: % 185.60/126.61 | (11929) all_453_0_1400 = 0 % 185.60/126.61 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.60/126.61 | (1840) all_205_2_109 = all_0_9_9 % 185.60/126.61 | % 185.60/126.61 | From (1840) and (296) follows: % 185.60/126.61 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.60/126.61 | (288) all_181_0_102 = 0 % 185.60/126.61 | % 185.60/126.61 | Equations (288) can reduce 258 to: % 185.60/126.61 | (173) $false % 185.60/126.61 | % 185.60/126.61 |-The branch is then unsatisfiable % 185.60/126.61 |-Branch two: % 185.60/126.61 | (11942) all_437_0_1398 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.60/126.61 | % 185.60/126.61 | Applying alpha-rule on (11942) yields: % 185.60/126.61 | (11912) all_437_0_1398 = 0 % 185.60/126.61 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.60/126.61 | (412) all_135_1_90 = all_0_9_9 % 185.60/126.61 | % 185.60/126.61 | From (412) and (231) follows: % 185.60/126.61 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.60/126.61 | % 185.60/126.61 +-Applying beta-rule and splitting (11898), into two cases. % 185.60/126.61 |-Branch one: % 185.60/126.61 | (11916) all_445_0_1399 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.60/126.61 | % 185.60/126.61 | Applying alpha-rule on (11916) yields: % 185.60/126.61 | (11917) all_445_0_1399 = 0 % 185.60/126.61 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.60/126.61 | (417) all_181_1_103 = all_0_6_6 % 185.60/126.61 | % 185.60/126.61 | From (417) and (259) follows: % 185.60/126.61 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.60/126.61 | % 185.60/126.61 +-Applying beta-rule and splitting (11910), into two cases. % 185.60/126.61 |-Branch one: % 185.60/126.61 | (11928) all_453_0_1400 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.60/126.61 | % 185.60/126.61 | Applying alpha-rule on (11928) yields: % 185.60/126.61 | (11929) all_453_0_1400 = 0 % 185.60/126.61 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.60/126.61 | (1833) all_205_2_109 = all_0_6_6 % 185.60/126.61 | % 185.60/126.61 | From (1833) and (296) follows: % 185.60/126.61 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.60/126.61 | (288) all_181_0_102 = 0 % 185.60/126.61 | % 185.60/126.61 | Equations (288) can reduce 258 to: % 185.60/126.61 | (173) $false % 185.60/126.61 | % 185.60/126.61 |-The branch is then unsatisfiable % 185.60/126.61 |-Branch two: % 185.60/126.61 | (11935) all_453_0_1400 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.60/126.61 | % 185.60/126.61 | Applying alpha-rule on (11935) yields: % 185.60/126.61 | (11929) all_453_0_1400 = 0 % 185.60/126.61 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.60/126.61 | (1840) all_205_2_109 = all_0_9_9 % 185.60/126.61 | % 185.60/126.61 | From (1840) and (303) follows: % 185.60/126.61 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.60/126.61 | (261) all_135_0_89 = 0 % 185.60/126.61 | % 185.60/126.61 | Equations (261) can reduce 230 to: % 185.60/126.61 | (173) $false % 185.60/126.61 | % 185.60/126.61 |-The branch is then unsatisfiable % 185.60/126.61 |-Branch two: % 185.60/126.61 | (11923) all_445_0_1399 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.60/126.61 | % 185.60/126.61 | Applying alpha-rule on (11923) yields: % 185.60/126.61 | (11917) all_445_0_1399 = 0 % 185.60/126.61 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.60/126.61 | % 185.60/126.61 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.60/126.62 | (424) all_181_1_103 = all_0_9_9 % 185.60/126.62 | % 185.60/126.62 | From (424) and (260) follows: % 185.60/126.62 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.60/126.62 | % 185.60/126.62 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.60/126.62 | (261) all_135_0_89 = 0 % 185.60/126.62 | % 185.60/126.62 | Equations (261) can reduce 230 to: % 185.60/126.62 | (173) $false % 185.60/126.62 | % 185.60/126.62 |-The branch is then unsatisfiable % 185.60/126.62 |-Branch two: % 185.60/126.62 | (11973) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.60/126.62 | % 185.60/126.62 | Applying alpha-rule on (11973) yields: % 185.60/126.62 | (11871) all_367_0_1384 = 0 % 185.60/126.62 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.60/126.62 | % 185.60/126.62 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.60/126.62 | (1890) all_205_2_109 = all_0_5_5 % 185.60/126.62 | % 185.60/126.62 | From (1890) and (275) follows: % 185.60/126.62 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 185.60/126.62 | % 185.60/126.62 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 185.60/126.62 | (2957) all_226_0_114 = 0 % 185.60/126.62 | % 185.60/126.62 | Equations (2957) can reduce 285 to: % 185.60/126.62 | (173) $false % 185.60/126.62 | % 185.60/126.62 |-The branch is then unsatisfiable % 185.60/126.62 |-Branch two: % 185.60/126.62 | (11980) all_351_0_1382 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 185.60/126.62 | % 185.60/126.62 | Applying alpha-rule on (11980) yields: % 185.60/126.62 | (11758) all_351_0_1382 = 0 % 185.60/126.62 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 185.60/126.62 | % 185.60/126.62 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 185.60/126.62 | (474) all_181_1_103 = all_0_5_5 % 185.60/126.62 | % 185.60/126.62 | From (474) and (259) follows: % 185.60/126.62 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 185.60/126.62 | % 185.60/126.62 +-Applying beta-rule and splitting (11741), into two cases. % 185.60/126.62 |-Branch one: % 185.60/126.62 | (11762) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.60/126.62 | % 185.60/126.62 | Applying alpha-rule on (11762) yields: % 185.60/126.62 | (11763) all_359_0_1383 = 0 % 185.60/126.62 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.60/126.62 | % 185.60/126.62 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.60/126.62 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.60/126.62 | % 185.60/126.62 | Instantiating (479) with all_413_0_1402 yields: % 185.60/126.62 | (11989) (all_413_0_1402 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_413_0_1402 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.60/126.62 | % 185.60/126.62 +-Applying beta-rule and splitting (11746), into two cases. % 185.60/126.62 |-Branch one: % 185.60/126.62 | (11870) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.60/126.62 | % 185.60/126.62 | Applying alpha-rule on (11870) yields: % 185.60/126.62 | (11871) all_367_0_1384 = 0 % 185.60/126.62 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.60/126.62 | % 185.60/126.62 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.60/126.62 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.60/126.62 | % 185.60/126.62 | Instantiating (1787) with all_421_0_1403 yields: % 185.60/126.62 | (11994) (all_421_0_1403 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_1403 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.60/126.62 | % 185.60/126.62 +-Applying beta-rule and splitting (11751), into two cases. % 185.60/126.62 |-Branch one: % 185.60/126.62 | (11767) all_383_0_1386 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.60/126.62 | % 185.60/126.62 | Applying alpha-rule on (11767) yields: % 185.60/126.62 | (11768) all_383_0_1386 = 0 % 185.60/126.62 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.60/126.62 | % 185.60/126.62 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.60/126.62 | (376) all_135_1_90 = all_0_3_3 % 185.60/126.62 | % 185.60/126.62 | From (376) and (232) follows: % 185.60/126.62 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.60/126.62 | % 185.60/126.62 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.60/126.62 | (233) all_110_0_83 = 0 % 185.60/126.62 | % 185.60/126.62 | Equations (233) can reduce 209 to: % 185.60/126.62 | (173) $false % 185.60/126.62 | % 185.60/126.62 |-The branch is then unsatisfiable % 185.60/126.62 |-Branch two: % 185.60/126.62 | (11774) all_383_0_1386 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.60/126.62 | % 185.60/126.63 | Applying alpha-rule on (11774) yields: % 185.60/126.63 | (11768) all_383_0_1386 = 0 % 185.60/126.63 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.60/126.63 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.60/126.63 | % 185.60/126.63 | Instantiating (383) with all_437_0_1405 yields: % 185.60/126.63 | (12006) (all_437_0_1405 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_437_0_1405 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.60/126.63 | % 185.60/126.63 +-Applying beta-rule and splitting (11989), into two cases. % 185.60/126.63 |-Branch one: % 185.60/126.63 | (12007) all_413_0_1402 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.60/126.63 | % 185.60/126.63 | Applying alpha-rule on (12007) yields: % 185.60/126.63 | (12008) all_413_0_1402 = 0 % 185.60/126.63 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.60/126.63 | (501) all_226_1_115 = all_0_3_3 % 185.60/126.63 | % 185.60/126.63 | From (501) and (302) follows: % 185.60/126.63 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.60/126.63 | (233) all_110_0_83 = 0 % 185.60/126.63 | % 185.60/126.63 | Equations (233) can reduce 209 to: % 185.60/126.63 | (173) $false % 185.60/126.63 | % 185.60/126.63 |-The branch is then unsatisfiable % 185.60/126.63 |-Branch two: % 185.60/126.63 | (12014) all_413_0_1402 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.60/126.63 | % 185.60/126.63 | Applying alpha-rule on (12014) yields: % 185.60/126.63 | (12008) all_413_0_1402 = 0 % 185.60/126.63 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.60/126.63 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.60/126.63 | % 185.60/126.63 | Instantiating (508) with all_445_0_1406 yields: % 185.60/126.63 | (12018) (all_445_0_1406 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1406 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.60/126.63 | % 185.60/126.63 +-Applying beta-rule and splitting (11994), into two cases. % 185.60/126.63 |-Branch one: % 185.60/126.63 | (12019) all_421_0_1403 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.60/126.63 | % 185.60/126.63 | Applying alpha-rule on (12019) yields: % 185.60/126.63 | (12020) all_421_0_1403 = 0 % 185.60/126.63 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.60/126.63 | (1809) all_205_2_109 = all_0_3_3 % 185.60/126.63 | % 185.60/126.63 | From (1809) and (309) follows: % 185.60/126.63 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.60/126.63 | (233) all_110_0_83 = 0 % 185.60/126.63 | % 185.60/126.63 | Equations (233) can reduce 209 to: % 185.60/126.63 | (173) $false % 185.60/126.63 | % 185.60/126.63 |-The branch is then unsatisfiable % 185.60/126.63 |-Branch two: % 185.60/126.63 | (12026) all_421_0_1403 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.60/126.63 | % 185.60/126.63 | Applying alpha-rule on (12026) yields: % 185.60/126.63 | (12020) all_421_0_1403 = 0 % 185.60/126.63 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.60/126.63 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.60/126.63 | % 185.60/126.63 | Instantiating (1816) with all_453_0_1407 yields: % 185.60/126.63 | (12030) (all_453_0_1407 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1407 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.60/126.63 | % 185.60/126.63 +-Applying beta-rule and splitting (12006), into two cases. % 185.60/126.63 |-Branch one: % 185.60/126.63 | (12031) all_437_0_1405 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.60/126.63 | % 185.60/126.63 | Applying alpha-rule on (12031) yields: % 185.60/126.63 | (12032) all_437_0_1405 = 0 % 185.60/126.63 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.60/126.63 | (405) all_135_1_90 = all_0_6_6 % 185.60/126.63 | % 185.60/126.63 | From (405) and (231) follows: % 185.60/126.63 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.60/126.63 | % 185.60/126.63 +-Applying beta-rule and splitting (12018), into two cases. % 185.60/126.63 |-Branch one: % 185.60/126.63 | (12036) all_445_0_1406 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.60/126.63 | % 185.60/126.63 | Applying alpha-rule on (12036) yields: % 185.60/126.63 | (12037) all_445_0_1406 = 0 % 185.60/126.63 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.60/126.63 | (525) all_226_1_115 = all_0_6_6 % 185.60/126.63 | % 185.60/126.63 | From (525) and (295) follows: % 185.60/126.63 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.60/126.63 | % 185.60/126.63 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.60/126.63 | (261) all_135_0_89 = 0 % 185.60/126.63 | % 185.60/126.63 | Equations (261) can reduce 230 to: % 185.60/126.63 | (173) $false % 185.60/126.63 | % 185.60/126.63 |-The branch is then unsatisfiable % 185.60/126.63 |-Branch two: % 185.60/126.63 | (12043) all_445_0_1406 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.60/126.63 | % 185.60/126.63 | Applying alpha-rule on (12043) yields: % 185.60/126.64 | (12037) all_445_0_1406 = 0 % 185.60/126.64 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.60/126.64 | (532) all_226_1_115 = all_0_9_9 % 185.60/126.64 | % 185.60/126.64 | From (532) and (286) follows: % 185.60/126.64 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.60/126.64 | % 185.60/126.64 +-Applying beta-rule and splitting (12030), into two cases. % 185.60/126.64 |-Branch one: % 185.60/126.64 | (12048) all_453_0_1407 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.60/126.64 | % 185.60/126.64 | Applying alpha-rule on (12048) yields: % 185.60/126.64 | (12049) all_453_0_1407 = 0 % 185.60/126.64 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.60/126.64 | (1833) all_205_2_109 = all_0_6_6 % 185.60/126.64 | % 185.60/126.64 | From (1833) and (303) follows: % 185.60/126.64 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.60/126.64 | (261) all_135_0_89 = 0 % 185.60/126.64 | % 185.60/126.64 | Equations (261) can reduce 230 to: % 185.60/126.64 | (173) $false % 185.60/126.64 | % 185.60/126.64 |-The branch is then unsatisfiable % 185.60/126.64 |-Branch two: % 185.60/126.64 | (12055) all_453_0_1407 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.60/126.64 | % 185.60/126.64 | Applying alpha-rule on (12055) yields: % 185.60/126.64 | (12049) all_453_0_1407 = 0 % 185.60/126.64 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.60/126.64 | (1840) all_205_2_109 = all_0_9_9 % 185.60/126.64 | % 185.60/126.64 | From (1840) and (275) follows: % 185.60/126.64 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.60/126.64 | (2957) all_226_0_114 = 0 % 185.60/126.64 | % 185.60/126.64 | Equations (2957) can reduce 285 to: % 185.60/126.64 | (173) $false % 185.60/126.64 | % 185.60/126.64 |-The branch is then unsatisfiable % 185.60/126.64 |-Branch two: % 185.60/126.64 | (12062) all_437_0_1405 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.60/126.64 | % 185.60/126.64 | Applying alpha-rule on (12062) yields: % 185.60/126.64 | (12032) all_437_0_1405 = 0 % 185.60/126.64 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.60/126.64 | (412) all_135_1_90 = all_0_9_9 % 185.60/126.64 | % 185.60/126.64 | From (412) and (231) follows: % 185.60/126.64 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.60/126.64 | % 185.60/126.64 +-Applying beta-rule and splitting (12018), into two cases. % 185.60/126.64 |-Branch one: % 185.60/126.64 | (12036) all_445_0_1406 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.60/126.64 | % 185.60/126.64 | Applying alpha-rule on (12036) yields: % 185.60/126.64 | (12037) all_445_0_1406 = 0 % 185.60/126.64 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.60/126.64 | (525) all_226_1_115 = all_0_6_6 % 185.60/126.64 | % 185.60/126.64 | From (525) and (286) follows: % 185.60/126.64 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.60/126.64 | % 185.60/126.64 +-Applying beta-rule and splitting (12030), into two cases. % 185.60/126.64 |-Branch one: % 185.60/126.64 | (12048) all_453_0_1407 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.60/126.64 | % 185.60/126.64 | Applying alpha-rule on (12048) yields: % 185.60/126.64 | (12049) all_453_0_1407 = 0 % 185.60/126.64 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.60/126.64 | (1833) all_205_2_109 = all_0_6_6 % 185.60/126.64 | % 185.60/126.64 | From (1833) and (275) follows: % 185.60/126.64 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.60/126.64 | (2957) all_226_0_114 = 0 % 185.60/126.64 | % 185.60/126.64 | Equations (2957) can reduce 285 to: % 185.60/126.64 | (173) $false % 185.60/126.64 | % 185.60/126.64 |-The branch is then unsatisfiable % 185.60/126.64 |-Branch two: % 185.60/126.64 | (12055) all_453_0_1407 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.60/126.64 | % 185.60/126.64 | Applying alpha-rule on (12055) yields: % 185.60/126.64 | (12049) all_453_0_1407 = 0 % 185.60/126.64 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.60/126.64 | (1840) all_205_2_109 = all_0_9_9 % 185.60/126.64 | % 185.60/126.64 | From (1840) and (303) follows: % 185.60/126.64 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.60/126.64 | % 185.60/126.64 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.60/126.64 | (261) all_135_0_89 = 0 % 185.60/126.64 | % 185.60/126.64 | Equations (261) can reduce 230 to: % 185.60/126.64 | (173) $false % 185.60/126.64 | % 185.60/126.64 |-The branch is then unsatisfiable % 185.60/126.65 |-Branch two: % 185.60/126.65 | (12043) all_445_0_1406 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.60/126.65 | % 185.60/126.65 | Applying alpha-rule on (12043) yields: % 185.60/126.65 | (12037) all_445_0_1406 = 0 % 185.60/126.65 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.60/126.65 | % 185.60/126.65 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.60/126.65 | (532) all_226_1_115 = all_0_9_9 % 185.60/126.65 | % 185.60/126.65 | From (532) and (295) follows: % 185.60/126.65 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.60/126.65 | % 185.60/126.65 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.60/126.65 | (261) all_135_0_89 = 0 % 185.60/126.65 | % 185.60/126.65 | Equations (261) can reduce 230 to: % 185.60/126.65 | (173) $false % 185.60/126.65 | % 185.60/126.65 |-The branch is then unsatisfiable % 185.60/126.65 |-Branch two: % 185.60/126.65 | (11973) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.60/126.65 | % 185.60/126.65 | Applying alpha-rule on (11973) yields: % 185.60/126.65 | (11871) all_367_0_1384 = 0 % 185.60/126.65 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.60/126.65 | % 185.60/126.65 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.60/126.65 | (1890) all_205_2_109 = all_0_5_5 % 185.60/126.65 | % 185.60/126.65 | From (1890) and (296) follows: % 185.60/126.65 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 185.60/126.65 | % 185.60/126.65 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 185.60/126.65 | (288) all_181_0_102 = 0 % 185.60/126.65 | % 185.60/126.65 | Equations (288) can reduce 258 to: % 185.60/126.65 | (173) $false % 185.60/126.65 | % 185.60/126.65 |-The branch is then unsatisfiable % 185.60/126.65 |-Branch two: % 185.60/126.65 | (11865) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.60/126.65 | % 185.60/126.65 | Applying alpha-rule on (11865) yields: % 185.60/126.65 | (11763) all_359_0_1383 = 0 % 185.60/126.65 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.60/126.65 | % 185.60/126.65 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.60/126.65 | (582) all_226_1_115 = all_0_5_5 % 185.60/126.65 | % 185.60/126.65 | From (582) and (287) follows: % 185.60/126.65 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 185.60/126.65 | % 185.60/126.65 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 185.60/126.65 | (288) all_181_0_102 = 0 % 185.60/126.65 | % 185.60/126.65 | Equations (288) can reduce 258 to: % 185.60/126.65 | (173) $false % 185.60/126.65 | % 185.60/126.65 |-The branch is then unsatisfiable % 185.60/126.65 |-Branch two: % 185.60/126.65 | (12107) all_343_0_1381 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 185.60/126.65 | % 185.60/126.65 | Applying alpha-rule on (12107) yields: % 185.60/126.65 | (11753) all_343_0_1381 = 0 % 185.60/126.65 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 185.60/126.65 | % 185.60/126.65 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 185.60/126.65 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 185.60/126.65 | % 185.60/126.65 | Instantiating (366) with all_391_0_1409 yields: % 185.60/126.65 | (12111) (all_391_0_1409 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_391_0_1409 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 185.60/126.65 | % 185.60/126.65 +-Applying beta-rule and splitting (11736), into two cases. % 185.60/126.65 |-Branch one: % 185.60/126.65 | (11757) all_351_0_1382 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 185.60/126.65 | % 185.60/126.65 | Applying alpha-rule on (11757) yields: % 185.60/126.65 | (11758) all_351_0_1382 = 0 % 185.60/126.65 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 185.60/126.65 | % 185.60/126.65 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 185.60/126.65 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 185.60/126.65 | % 185.60/126.65 | Instantiating (371) with all_399_0_1410 yields: % 185.60/126.65 | (12116) (all_399_0_1410 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_399_0_1410 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 185.60/126.65 | % 185.60/126.65 +-Applying beta-rule and splitting (11741), into two cases. % 185.60/126.65 |-Branch one: % 185.60/126.65 | (11762) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.60/126.65 | % 185.60/126.65 | Applying alpha-rule on (11762) yields: % 185.60/126.65 | (11763) all_359_0_1383 = 0 % 185.60/126.65 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.60/126.65 | % 185.60/126.66 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.60/126.66 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.60/126.66 | % 185.60/126.66 | Instantiating (479) with all_407_0_1411 yields: % 185.60/126.66 | (12121) (all_407_0_1411 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_407_0_1411 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.60/126.66 | % 185.60/126.66 +-Applying beta-rule and splitting (11751), into two cases. % 185.60/126.66 |-Branch one: % 185.60/126.66 | (11767) all_383_0_1386 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.60/126.66 | % 185.60/126.66 | Applying alpha-rule on (11767) yields: % 185.60/126.66 | (11768) all_383_0_1386 = 0 % 185.60/126.66 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.60/126.66 | (376) all_135_1_90 = all_0_3_3 % 185.60/126.66 | % 185.60/126.66 | From (376) and (231) follows: % 185.60/126.66 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.60/126.66 | % 185.60/126.66 +-Applying beta-rule and splitting (12111), into two cases. % 185.60/126.66 |-Branch one: % 185.60/126.66 | (12127) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 185.60/126.66 | % 185.60/126.66 | Applying alpha-rule on (12127) yields: % 185.60/126.66 | (12128) all_391_0_1409 = 0 % 185.60/126.66 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 185.60/126.66 | (388) all_110_1_84 = all_0_6_6 % 185.60/126.66 | % 185.60/126.66 | From (388) and (210) follows: % 185.60/126.66 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 185.60/126.66 | % 185.60/126.66 +-Applying beta-rule and splitting (12116), into two cases. % 185.60/126.66 |-Branch one: % 185.60/126.66 | (12132) all_399_0_1410 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.60/126.66 | % 185.60/126.66 | Applying alpha-rule on (12132) yields: % 185.60/126.66 | (12133) all_399_0_1410 = 0 % 185.60/126.66 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.60/126.66 | (393) all_181_1_103 = all_0_3_3 % 185.60/126.66 | % 185.60/126.66 | From (393) and (260) follows: % 185.60/126.66 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.60/126.66 | (261) all_135_0_89 = 0 % 185.60/126.66 | % 185.60/126.66 | Equations (261) can reduce 230 to: % 185.60/126.66 | (173) $false % 185.60/126.66 | % 185.60/126.66 |-The branch is then unsatisfiable % 185.60/126.66 |-Branch two: % 185.60/126.66 | (12139) all_399_0_1410 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.60/126.66 | % 185.60/126.66 | Applying alpha-rule on (12139) yields: % 185.60/126.66 | (12133) all_399_0_1410 = 0 % 185.60/126.66 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.60/126.66 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.60/126.66 | % 185.60/126.66 | Instantiating (400) with all_453_0_1414 yields: % 185.60/126.66 | (12143) (all_453_0_1414 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_1414 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.60/126.66 | % 185.60/126.66 +-Applying beta-rule and splitting (12121), into two cases. % 185.60/126.66 |-Branch one: % 185.60/126.66 | (12144) all_407_0_1411 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.60/126.66 | % 185.60/126.66 | Applying alpha-rule on (12144) yields: % 185.60/126.66 | (12145) all_407_0_1411 = 0 % 185.60/126.66 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.60/126.66 | (501) all_226_1_115 = all_0_3_3 % 185.60/126.66 | % 185.60/126.66 | From (501) and (295) follows: % 185.60/126.66 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.60/126.66 | (261) all_135_0_89 = 0 % 185.60/126.66 | % 185.60/126.66 | Equations (261) can reduce 230 to: % 185.60/126.66 | (173) $false % 185.60/126.66 | % 185.60/126.66 |-The branch is then unsatisfiable % 185.60/126.66 |-Branch two: % 185.60/126.66 | (12151) all_407_0_1411 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.60/126.66 | % 185.60/126.66 | Applying alpha-rule on (12151) yields: % 185.60/126.66 | (12145) all_407_0_1411 = 0 % 185.60/126.66 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.60/126.66 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.60/126.66 | % 185.60/126.66 | Instantiating (508) with all_461_0_1415 yields: % 185.60/126.66 | (12155) (all_461_0_1415 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_1415 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.60/126.66 | % 185.60/126.66 +-Applying beta-rule and splitting (12143), into two cases. % 185.60/126.66 |-Branch one: % 185.60/126.66 | (12156) all_453_0_1414 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.60/126.66 | % 185.60/126.66 | Applying alpha-rule on (12156) yields: % 185.60/126.66 | (12157) all_453_0_1414 = 0 % 185.60/126.66 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.60/126.66 | (417) all_181_1_103 = all_0_6_6 % 185.60/126.66 | % 185.60/126.66 | From (417) and (269) follows: % 185.60/126.66 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.60/126.66 | % 185.60/126.66 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.60/126.66 | (233) all_110_0_83 = 0 % 185.60/126.66 | % 185.60/126.66 | Equations (233) can reduce 209 to: % 185.60/126.66 | (173) $false % 185.60/126.66 | % 185.60/126.66 |-The branch is then unsatisfiable % 185.60/126.66 |-Branch two: % 185.60/126.66 | (12163) all_453_0_1414 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.60/126.66 | % 185.60/126.67 | Applying alpha-rule on (12163) yields: % 185.60/126.67 | (12157) all_453_0_1414 = 0 % 185.60/126.67 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.60/126.67 | % 185.60/126.67 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.60/126.67 | (424) all_181_1_103 = all_0_9_9 % 185.60/126.67 | % 185.60/126.67 | From (424) and (259) follows: % 185.60/126.67 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.60/126.67 | % 185.60/126.67 +-Applying beta-rule and splitting (12155), into two cases. % 185.60/126.67 |-Branch one: % 185.60/126.67 | (12168) all_461_0_1415 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.60/126.67 | % 185.60/126.67 | Applying alpha-rule on (12168) yields: % 185.60/126.67 | (12169) all_461_0_1415 = 0 % 185.60/126.67 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.60/126.67 | % 185.60/126.67 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.60/126.67 | (525) all_226_1_115 = all_0_6_6 % 185.60/126.67 | % 185.60/126.67 | From (525) and (302) follows: % 185.60/126.67 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.60/126.67 | % 185.60/126.67 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.60/126.67 | (233) all_110_0_83 = 0 % 185.60/126.67 | % 185.60/126.67 | Equations (233) can reduce 209 to: % 185.60/126.67 | (173) $false % 185.60/126.67 | % 185.60/126.67 |-The branch is then unsatisfiable % 185.60/126.67 |-Branch two: % 185.60/126.67 | (12175) all_461_0_1415 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.60/126.67 | % 185.60/126.67 | Applying alpha-rule on (12175) yields: % 185.60/126.67 | (12169) all_461_0_1415 = 0 % 185.60/126.67 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.60/126.67 | % 185.60/126.67 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.60/126.67 | (532) all_226_1_115 = all_0_9_9 % 185.60/126.67 | % 185.60/126.67 | From (532) and (287) follows: % 185.60/126.67 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.60/126.67 | % 185.60/126.67 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.60/126.67 | (288) all_181_0_102 = 0 % 185.60/126.67 | % 185.60/126.67 | Equations (288) can reduce 258 to: % 185.60/126.67 | (173) $false % 185.60/126.67 | % 185.60/126.67 |-The branch is then unsatisfiable % 185.66/126.67 |-Branch two: % 185.66/126.67 | (12182) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 185.66/126.67 | % 185.66/126.67 | Applying alpha-rule on (12182) yields: % 185.66/126.67 | (12128) all_391_0_1409 = 0 % 185.66/126.67 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 185.66/126.67 | % 185.66/126.67 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 185.66/126.67 | (431) all_110_1_84 = all_0_9_9 % 185.66/126.67 | % 185.66/126.67 | From (431) and (210) follows: % 185.66/126.67 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 185.66/126.67 | % 185.66/126.67 +-Applying beta-rule and splitting (12116), into two cases. % 185.66/126.67 |-Branch one: % 185.66/126.67 | (12132) all_399_0_1410 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.67 | % 185.66/126.67 | Applying alpha-rule on (12132) yields: % 185.66/126.67 | (12133) all_399_0_1410 = 0 % 185.66/126.67 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.67 | % 185.66/126.67 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.66/126.67 | (393) all_181_1_103 = all_0_3_3 % 185.66/126.67 | % 185.66/126.67 | From (393) and (260) follows: % 185.66/126.67 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.66/126.67 | % 185.66/126.67 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.66/126.67 | (261) all_135_0_89 = 0 % 185.66/126.67 | % 185.66/126.67 | Equations (261) can reduce 230 to: % 185.66/126.67 | (173) $false % 185.66/126.67 | % 185.66/126.67 |-The branch is then unsatisfiable % 185.66/126.67 |-Branch two: % 185.66/126.67 | (12139) all_399_0_1410 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.67 | % 185.66/126.67 | Applying alpha-rule on (12139) yields: % 185.66/126.67 | (12133) all_399_0_1410 = 0 % 185.66/126.67 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.67 | % 185.66/126.67 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.66/126.67 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.66/126.67 | % 185.66/126.67 | Instantiating (400) with all_453_0_1418 yields: % 185.66/126.67 | (12198) (all_453_0_1418 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_1418 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.66/126.67 | % 185.66/126.67 +-Applying beta-rule and splitting (12121), into two cases. % 185.66/126.67 |-Branch one: % 185.66/126.67 | (12144) all_407_0_1411 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.66/126.67 | % 185.66/126.67 | Applying alpha-rule on (12144) yields: % 185.66/126.67 | (12145) all_407_0_1411 = 0 % 185.66/126.67 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.66/126.67 | % 185.66/126.67 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.66/126.67 | (501) all_226_1_115 = all_0_3_3 % 185.66/126.67 | % 185.66/126.67 | From (501) and (295) follows: % 185.66/126.67 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.66/126.67 | % 185.66/126.67 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.66/126.67 | (261) all_135_0_89 = 0 % 185.66/126.67 | % 185.66/126.67 | Equations (261) can reduce 230 to: % 185.66/126.67 | (173) $false % 185.66/126.67 | % 185.66/126.67 |-The branch is then unsatisfiable % 185.66/126.67 |-Branch two: % 185.66/126.68 | (12151) all_407_0_1411 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.66/126.68 | % 185.66/126.68 | Applying alpha-rule on (12151) yields: % 185.66/126.68 | (12145) all_407_0_1411 = 0 % 185.66/126.68 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.66/126.68 | % 185.66/126.68 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.66/126.68 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.66/126.68 | % 185.66/126.68 | Instantiating (508) with all_461_0_1419 yields: % 185.66/126.68 | (12210) (all_461_0_1419 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_1419 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.66/126.68 | % 185.66/126.68 +-Applying beta-rule and splitting (12198), into two cases. % 185.66/126.68 |-Branch one: % 185.66/126.68 | (12211) all_453_0_1418 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.68 | % 185.66/126.68 | Applying alpha-rule on (12211) yields: % 185.66/126.68 | (12212) all_453_0_1418 = 0 % 185.66/126.68 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.68 | % 185.66/126.68 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.66/126.68 | (417) all_181_1_103 = all_0_6_6 % 185.66/126.68 | % 185.66/126.68 | From (417) and (259) follows: % 185.66/126.68 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.66/126.68 | % 185.66/126.68 +-Applying beta-rule and splitting (12210), into two cases. % 185.66/126.68 |-Branch one: % 185.66/126.68 | (12216) all_461_0_1419 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.66/126.68 | % 185.66/126.68 | Applying alpha-rule on (12216) yields: % 185.66/126.68 | (12217) all_461_0_1419 = 0 % 185.66/126.68 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.66/126.68 | % 185.66/126.68 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.66/126.68 | (525) all_226_1_115 = all_0_6_6 % 185.66/126.68 | % 185.66/126.68 | From (525) and (287) follows: % 185.66/126.68 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.66/126.68 | % 185.66/126.68 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.66/126.68 | (288) all_181_0_102 = 0 % 185.66/126.68 | % 185.66/126.68 | Equations (288) can reduce 258 to: % 185.66/126.68 | (173) $false % 185.66/126.68 | % 185.66/126.68 |-The branch is then unsatisfiable % 185.66/126.68 |-Branch two: % 185.66/126.68 | (12223) all_461_0_1419 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.66/126.68 | % 185.66/126.68 | Applying alpha-rule on (12223) yields: % 185.66/126.68 | (12217) all_461_0_1419 = 0 % 185.66/126.68 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.66/126.68 | % 185.66/126.68 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.66/126.68 | (532) all_226_1_115 = all_0_9_9 % 185.66/126.68 | % 185.66/126.68 | From (532) and (302) follows: % 185.66/126.68 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.66/126.68 | % 185.66/126.68 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.66/126.68 | (233) all_110_0_83 = 0 % 185.66/126.68 | % 185.66/126.68 | Equations (233) can reduce 209 to: % 185.66/126.68 | (173) $false % 185.66/126.68 | % 185.66/126.68 |-The branch is then unsatisfiable % 185.66/126.68 |-Branch two: % 185.66/126.68 | (12230) all_453_0_1418 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.68 | % 185.66/126.68 | Applying alpha-rule on (12230) yields: % 185.66/126.68 | (12212) all_453_0_1418 = 0 % 185.66/126.68 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.68 | % 185.66/126.68 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.66/126.68 | (424) all_181_1_103 = all_0_9_9 % 185.66/126.68 | % 185.66/126.68 | From (424) and (269) follows: % 185.66/126.68 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.66/126.68 | % 185.66/126.68 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.66/126.68 | (233) all_110_0_83 = 0 % 185.66/126.68 | % 185.66/126.68 | Equations (233) can reduce 209 to: % 185.66/126.68 | (173) $false % 185.66/126.68 | % 185.66/126.68 |-The branch is then unsatisfiable % 185.66/126.68 |-Branch two: % 185.66/126.68 | (11774) all_383_0_1386 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.66/126.68 | % 185.66/126.68 | Applying alpha-rule on (11774) yields: % 185.66/126.68 | (11768) all_383_0_1386 = 0 % 185.66/126.68 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.66/126.68 | % 185.66/126.68 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.66/126.68 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.66/126.68 | % 185.66/126.68 | Instantiating (383) with all_431_0_1422 yields: % 185.66/126.68 | (12241) (all_431_0_1422 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_431_0_1422 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.66/126.68 | % 185.66/126.68 +-Applying beta-rule and splitting (12111), into two cases. % 185.66/126.68 |-Branch one: % 185.66/126.68 | (12127) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 185.66/126.68 | % 185.66/126.69 | Applying alpha-rule on (12127) yields: % 185.66/126.69 | (12128) all_391_0_1409 = 0 % 185.66/126.69 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 185.66/126.69 | (388) all_110_1_84 = all_0_6_6 % 185.66/126.69 | % 185.66/126.69 | From (388) and (210) follows: % 185.66/126.69 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 185.66/126.69 | % 185.66/126.69 +-Applying beta-rule and splitting (12116), into two cases. % 185.66/126.69 |-Branch one: % 185.66/126.69 | (12132) all_399_0_1410 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.69 | % 185.66/126.69 | Applying alpha-rule on (12132) yields: % 185.66/126.69 | (12133) all_399_0_1410 = 0 % 185.66/126.69 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.66/126.69 | (393) all_181_1_103 = all_0_3_3 % 185.66/126.69 | % 185.66/126.69 | From (393) and (259) follows: % 185.66/126.69 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.66/126.69 | % 185.66/126.69 +-Applying beta-rule and splitting (12121), into two cases. % 185.66/126.69 |-Branch one: % 185.66/126.69 | (12144) all_407_0_1411 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.66/126.69 | % 185.66/126.69 | Applying alpha-rule on (12144) yields: % 185.66/126.69 | (12145) all_407_0_1411 = 0 % 185.66/126.69 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.66/126.69 | (501) all_226_1_115 = all_0_3_3 % 185.66/126.69 | % 185.66/126.69 | From (501) and (287) follows: % 185.66/126.69 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.66/126.69 | (288) all_181_0_102 = 0 % 185.66/126.69 | % 185.66/126.69 | Equations (288) can reduce 258 to: % 185.66/126.69 | (173) $false % 185.66/126.69 | % 185.66/126.69 |-The branch is then unsatisfiable % 185.66/126.69 |-Branch two: % 185.66/126.69 | (12151) all_407_0_1411 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.66/126.69 | % 185.66/126.69 | Applying alpha-rule on (12151) yields: % 185.66/126.69 | (12145) all_407_0_1411 = 0 % 185.66/126.69 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.66/126.69 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.66/126.69 | % 185.66/126.69 | Instantiating (508) with all_461_0_1423 yields: % 185.66/126.69 | (12263) (all_461_0_1423 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_1423 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.66/126.69 | % 185.66/126.69 +-Applying beta-rule and splitting (12241), into two cases. % 185.66/126.69 |-Branch one: % 185.66/126.69 | (12264) all_431_0_1422 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.69 | % 185.66/126.69 | Applying alpha-rule on (12264) yields: % 185.66/126.69 | (12265) all_431_0_1422 = 0 % 185.66/126.69 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.66/126.69 | (405) all_135_1_90 = all_0_6_6 % 185.66/126.69 | % 185.66/126.69 | From (405) and (232) follows: % 185.66/126.69 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.66/126.69 | (233) all_110_0_83 = 0 % 185.66/126.69 | % 185.66/126.69 | Equations (233) can reduce 209 to: % 185.66/126.69 | (173) $false % 185.66/126.69 | % 185.66/126.69 |-The branch is then unsatisfiable % 185.66/126.69 |-Branch two: % 185.66/126.69 | (12271) all_431_0_1422 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.66/126.69 | % 185.66/126.69 | Applying alpha-rule on (12271) yields: % 185.66/126.69 | (12265) all_431_0_1422 = 0 % 185.66/126.69 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.66/126.69 | (412) all_135_1_90 = all_0_9_9 % 185.66/126.69 | % 185.66/126.69 | From (412) and (231) follows: % 185.66/126.69 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.66/126.69 | % 185.66/126.69 +-Applying beta-rule and splitting (12263), into two cases. % 185.66/126.69 |-Branch one: % 185.66/126.69 | (12276) all_461_0_1423 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.66/126.69 | % 185.66/126.69 | Applying alpha-rule on (12276) yields: % 185.66/126.69 | (12277) all_461_0_1423 = 0 % 185.66/126.69 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.66/126.69 | (525) all_226_1_115 = all_0_6_6 % 185.66/126.69 | % 185.66/126.69 | From (525) and (302) follows: % 185.66/126.69 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.66/126.69 | (233) all_110_0_83 = 0 % 185.66/126.69 | % 185.66/126.69 | Equations (233) can reduce 209 to: % 185.66/126.69 | (173) $false % 185.66/126.69 | % 185.66/126.69 |-The branch is then unsatisfiable % 185.66/126.69 |-Branch two: % 185.66/126.69 | (12283) all_461_0_1423 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.66/126.69 | % 185.66/126.69 | Applying alpha-rule on (12283) yields: % 185.66/126.69 | (12277) all_461_0_1423 = 0 % 185.66/126.69 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.66/126.69 | (532) all_226_1_115 = all_0_9_9 % 185.66/126.69 | % 185.66/126.69 | From (532) and (295) follows: % 185.66/126.69 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.66/126.69 | % 185.66/126.69 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.66/126.69 | (261) all_135_0_89 = 0 % 185.66/126.69 | % 185.66/126.69 | Equations (261) can reduce 230 to: % 185.66/126.69 | (173) $false % 185.66/126.69 | % 185.66/126.69 |-The branch is then unsatisfiable % 185.66/126.70 |-Branch two: % 185.66/126.70 | (12139) all_399_0_1410 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.70 | % 185.66/126.70 | Applying alpha-rule on (12139) yields: % 185.66/126.70 | (12133) all_399_0_1410 = 0 % 185.66/126.70 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.70 | % 185.66/126.70 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.66/126.70 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.66/126.70 | % 185.66/126.70 | Instantiating (400) with all_450_0_1426 yields: % 185.66/126.70 | (12294) (all_450_0_1426 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_450_0_1426 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.66/126.70 | % 185.66/126.70 +-Applying beta-rule and splitting (12241), into two cases. % 185.66/126.70 |-Branch one: % 185.66/126.70 | (12264) all_431_0_1422 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.70 | % 185.66/126.70 | Applying alpha-rule on (12264) yields: % 185.66/126.70 | (12265) all_431_0_1422 = 0 % 185.66/126.70 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.70 | % 185.66/126.70 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.66/126.70 | (405) all_135_1_90 = all_0_6_6 % 185.66/126.70 | % 185.66/126.70 | From (405) and (232) follows: % 185.66/126.70 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.66/126.70 | % 185.66/126.70 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.66/126.70 | (233) all_110_0_83 = 0 % 185.66/126.70 | % 185.66/126.70 | Equations (233) can reduce 209 to: % 185.66/126.70 | (173) $false % 185.66/126.70 | % 185.66/126.70 |-The branch is then unsatisfiable % 185.66/126.70 |-Branch two: % 185.66/126.70 | (12271) all_431_0_1422 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.66/126.70 | % 185.66/126.70 | Applying alpha-rule on (12271) yields: % 185.66/126.70 | (12265) all_431_0_1422 = 0 % 185.66/126.70 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.66/126.70 | % 185.66/126.70 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.66/126.70 | (412) all_135_1_90 = all_0_9_9 % 185.66/126.70 | % 185.66/126.70 | From (412) and (231) follows: % 185.66/126.70 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.66/126.70 | % 185.66/126.70 +-Applying beta-rule and splitting (12294), into two cases. % 185.66/126.70 |-Branch one: % 185.66/126.70 | (12307) all_450_0_1426 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.70 | % 185.66/126.70 | Applying alpha-rule on (12307) yields: % 185.66/126.70 | (12308) all_450_0_1426 = 0 % 185.66/126.70 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.70 | % 185.66/126.70 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.66/126.70 | (417) all_181_1_103 = all_0_6_6 % 185.66/126.70 | % 185.66/126.70 | From (417) and (269) follows: % 185.66/126.70 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.66/126.70 | % 185.66/126.70 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.66/126.70 | (233) all_110_0_83 = 0 % 185.66/126.70 | % 185.66/126.70 | Equations (233) can reduce 209 to: % 185.66/126.70 | (173) $false % 185.66/126.70 | % 185.66/126.70 |-The branch is then unsatisfiable % 185.66/126.70 |-Branch two: % 185.66/126.70 | (12314) all_450_0_1426 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.70 | % 185.66/126.70 | Applying alpha-rule on (12314) yields: % 185.66/126.70 | (12308) all_450_0_1426 = 0 % 185.66/126.70 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.70 | % 185.66/126.70 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.66/126.70 | (424) all_181_1_103 = all_0_9_9 % 185.66/126.70 | % 185.66/126.70 | From (424) and (260) follows: % 185.66/126.70 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.66/126.70 | % 185.66/126.70 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.66/126.70 | (261) all_135_0_89 = 0 % 185.66/126.70 | % 185.66/126.70 | Equations (261) can reduce 230 to: % 185.66/126.70 | (173) $false % 185.66/126.70 | % 185.66/126.70 |-The branch is then unsatisfiable % 185.66/126.70 |-Branch two: % 185.66/126.70 | (12182) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 185.66/126.70 | % 185.66/126.70 | Applying alpha-rule on (12182) yields: % 185.66/126.70 | (12128) all_391_0_1409 = 0 % 185.66/126.70 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 185.66/126.70 | % 185.66/126.70 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 185.66/126.70 | (431) all_110_1_84 = all_0_9_9 % 185.66/126.70 | % 185.66/126.70 | From (431) and (210) follows: % 185.66/126.70 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 185.66/126.70 | % 185.66/126.70 +-Applying beta-rule and splitting (12116), into two cases. % 185.66/126.70 |-Branch one: % 185.66/126.70 | (12132) all_399_0_1410 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.70 | % 185.66/126.71 | Applying alpha-rule on (12132) yields: % 185.66/126.71 | (12133) all_399_0_1410 = 0 % 185.66/126.71 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.66/126.71 | (393) all_181_1_103 = all_0_3_3 % 185.66/126.71 | % 185.66/126.71 | From (393) and (259) follows: % 185.66/126.71 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.66/126.71 | % 185.66/126.71 +-Applying beta-rule and splitting (12121), into two cases. % 185.66/126.71 |-Branch one: % 185.66/126.71 | (12144) all_407_0_1411 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.66/126.71 | % 185.66/126.71 | Applying alpha-rule on (12144) yields: % 185.66/126.71 | (12145) all_407_0_1411 = 0 % 185.66/126.71 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.66/126.71 | (501) all_226_1_115 = all_0_3_3 % 185.66/126.71 | % 185.66/126.71 | From (501) and (287) follows: % 185.66/126.71 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.66/126.71 | (288) all_181_0_102 = 0 % 185.66/126.71 | % 185.66/126.71 | Equations (288) can reduce 258 to: % 185.66/126.71 | (173) $false % 185.66/126.71 | % 185.66/126.71 |-The branch is then unsatisfiable % 185.66/126.71 |-Branch two: % 185.66/126.71 | (12151) all_407_0_1411 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.66/126.71 | % 185.66/126.71 | Applying alpha-rule on (12151) yields: % 185.66/126.71 | (12145) all_407_0_1411 = 0 % 185.66/126.71 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.66/126.71 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.66/126.71 | % 185.66/126.71 | Instantiating (508) with all_461_0_1429 yields: % 185.66/126.71 | (12342) (all_461_0_1429 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_461_0_1429 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.66/126.71 | % 185.66/126.71 +-Applying beta-rule and splitting (12241), into two cases. % 185.66/126.71 |-Branch one: % 185.66/126.71 | (12264) all_431_0_1422 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.71 | % 185.66/126.71 | Applying alpha-rule on (12264) yields: % 185.66/126.71 | (12265) all_431_0_1422 = 0 % 185.66/126.71 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.66/126.71 | (405) all_135_1_90 = all_0_6_6 % 185.66/126.71 | % 185.66/126.71 | From (405) and (231) follows: % 185.66/126.71 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.66/126.71 | % 185.66/126.71 +-Applying beta-rule and splitting (12342), into two cases. % 185.66/126.71 |-Branch one: % 185.66/126.71 | (12348) all_461_0_1429 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.66/126.71 | % 185.66/126.71 | Applying alpha-rule on (12348) yields: % 185.66/126.71 | (12349) all_461_0_1429 = 0 % 185.66/126.71 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.66/126.71 | (525) all_226_1_115 = all_0_6_6 % 185.66/126.71 | % 185.66/126.71 | From (525) and (295) follows: % 185.66/126.71 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.66/126.71 | (261) all_135_0_89 = 0 % 185.66/126.71 | % 185.66/126.71 | Equations (261) can reduce 230 to: % 185.66/126.71 | (173) $false % 185.66/126.71 | % 185.66/126.71 |-The branch is then unsatisfiable % 185.66/126.71 |-Branch two: % 185.66/126.71 | (12355) all_461_0_1429 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.66/126.71 | % 185.66/126.71 | Applying alpha-rule on (12355) yields: % 185.66/126.71 | (12349) all_461_0_1429 = 0 % 185.66/126.71 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.66/126.71 | (532) all_226_1_115 = all_0_9_9 % 185.66/126.71 | % 185.66/126.71 | From (532) and (302) follows: % 185.66/126.71 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.66/126.71 | (233) all_110_0_83 = 0 % 185.66/126.71 | % 185.66/126.71 | Equations (233) can reduce 209 to: % 185.66/126.71 | (173) $false % 185.66/126.71 | % 185.66/126.71 |-The branch is then unsatisfiable % 185.66/126.71 |-Branch two: % 185.66/126.71 | (12271) all_431_0_1422 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.66/126.71 | % 185.66/126.71 | Applying alpha-rule on (12271) yields: % 185.66/126.71 | (12265) all_431_0_1422 = 0 % 185.66/126.71 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.66/126.71 | (412) all_135_1_90 = all_0_9_9 % 185.66/126.71 | % 185.66/126.71 | From (412) and (232) follows: % 185.66/126.71 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.66/126.71 | % 185.66/126.71 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.66/126.71 | (233) all_110_0_83 = 0 % 185.66/126.71 | % 185.66/126.71 | Equations (233) can reduce 209 to: % 185.66/126.71 | (173) $false % 185.66/126.71 | % 185.66/126.71 |-The branch is then unsatisfiable % 185.66/126.71 |-Branch two: % 185.66/126.72 | (12139) all_399_0_1410 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.72 | % 185.66/126.72 | Applying alpha-rule on (12139) yields: % 185.66/126.72 | (12133) all_399_0_1410 = 0 % 185.66/126.72 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.72 | % 185.66/126.72 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.66/126.72 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.66/126.72 | % 185.66/126.72 | Instantiating (400) with all_450_0_1432 yields: % 185.66/126.72 | (12373) (all_450_0_1432 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_450_0_1432 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.66/126.72 | % 185.66/126.72 +-Applying beta-rule and splitting (12241), into two cases. % 185.66/126.72 |-Branch one: % 185.66/126.72 | (12264) all_431_0_1422 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.72 | % 185.66/126.72 | Applying alpha-rule on (12264) yields: % 185.66/126.72 | (12265) all_431_0_1422 = 0 % 185.66/126.72 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.72 | % 185.66/126.72 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.66/126.72 | (405) all_135_1_90 = all_0_6_6 % 185.66/126.72 | % 185.66/126.72 | From (405) and (231) follows: % 185.66/126.72 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.66/126.72 | % 185.66/126.72 +-Applying beta-rule and splitting (12373), into two cases. % 185.66/126.72 |-Branch one: % 185.66/126.72 | (12379) all_450_0_1432 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.72 | % 185.66/126.72 | Applying alpha-rule on (12379) yields: % 185.66/126.72 | (12380) all_450_0_1432 = 0 % 185.66/126.72 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.72 | % 185.66/126.72 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.66/126.72 | (417) all_181_1_103 = all_0_6_6 % 185.66/126.72 | % 185.66/126.72 | From (417) and (260) follows: % 185.66/126.72 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.66/126.72 | % 185.66/126.72 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.66/126.72 | (261) all_135_0_89 = 0 % 185.66/126.72 | % 185.66/126.72 | Equations (261) can reduce 230 to: % 185.66/126.72 | (173) $false % 185.66/126.72 | % 185.66/126.72 |-The branch is then unsatisfiable % 185.66/126.72 |-Branch two: % 185.66/126.72 | (12386) all_450_0_1432 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.72 | % 185.66/126.72 | Applying alpha-rule on (12386) yields: % 185.66/126.72 | (12380) all_450_0_1432 = 0 % 185.66/126.72 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.72 | % 185.66/126.72 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.66/126.72 | (424) all_181_1_103 = all_0_9_9 % 185.66/126.72 | % 185.66/126.72 | From (424) and (269) follows: % 185.66/126.72 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.66/126.72 | % 185.66/126.72 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.66/126.72 | (233) all_110_0_83 = 0 % 185.66/126.72 | % 185.66/126.72 | Equations (233) can reduce 209 to: % 185.66/126.72 | (173) $false % 185.66/126.72 | % 185.66/126.72 |-The branch is then unsatisfiable % 185.66/126.72 |-Branch two: % 185.66/126.72 | (12271) all_431_0_1422 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.66/126.72 | % 185.66/126.72 | Applying alpha-rule on (12271) yields: % 185.66/126.72 | (12265) all_431_0_1422 = 0 % 185.66/126.72 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.66/126.72 | % 185.66/126.72 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.66/126.72 | (412) all_135_1_90 = all_0_9_9 % 185.66/126.72 | % 185.66/126.72 | From (412) and (232) follows: % 185.66/126.72 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.66/126.72 | % 185.66/126.72 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.66/126.72 | (233) all_110_0_83 = 0 % 185.66/126.72 | % 185.66/126.72 | Equations (233) can reduce 209 to: % 185.66/126.72 | (173) $false % 185.66/126.72 | % 185.66/126.72 |-The branch is then unsatisfiable % 185.66/126.72 |-Branch two: % 185.66/126.72 | (11865) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.66/126.72 | % 185.66/126.72 | Applying alpha-rule on (11865) yields: % 185.66/126.72 | (11763) all_359_0_1383 = 0 % 185.66/126.72 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.66/126.72 | % 185.66/126.72 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.66/126.72 | (582) all_226_1_115 = all_0_5_5 % 185.66/126.72 | % 185.66/126.72 | From (582) and (286) follows: % 185.66/126.72 | (3103) mem(all_0_5_5, all_165_1_98) = all_226_0_114 % 185.66/126.72 | % 185.66/126.72 +-Applying beta-rule and splitting (11746), into two cases. % 185.66/126.72 |-Branch one: % 185.66/126.72 | (11870) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.66/126.72 | % 185.66/126.73 | Applying alpha-rule on (11870) yields: % 185.66/126.73 | (11871) all_367_0_1384 = 0 % 185.66/126.73 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.66/126.73 | % 185.66/126.73 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.66/126.73 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.66/126.73 | % 185.66/126.73 | Instantiating (1787) with all_418_0_1435 yields: % 185.66/126.73 | (12409) (all_418_0_1435 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_1435 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.66/126.73 | % 185.66/126.73 +-Applying beta-rule and splitting (11751), into two cases. % 185.66/126.73 |-Branch one: % 185.66/126.73 | (11767) all_383_0_1386 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.66/126.73 | % 185.66/126.73 | Applying alpha-rule on (11767) yields: % 185.66/126.73 | (11768) all_383_0_1386 = 0 % 185.66/126.73 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.66/126.73 | % 185.66/126.73 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.66/126.73 | (376) all_135_1_90 = all_0_3_3 % 185.66/126.73 | % 185.66/126.73 | From (376) and (231) follows: % 185.66/126.73 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.66/126.73 | % 185.66/126.73 +-Applying beta-rule and splitting (12111), into two cases. % 185.66/126.73 |-Branch one: % 185.66/126.73 | (12127) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 185.66/126.73 | % 185.66/126.73 | Applying alpha-rule on (12127) yields: % 185.66/126.73 | (12128) all_391_0_1409 = 0 % 185.66/126.73 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 185.66/126.73 | % 185.66/126.73 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 185.66/126.73 | (388) all_110_1_84 = all_0_6_6 % 185.66/126.73 | % 185.66/126.73 | From (388) and (210) follows: % 185.66/126.73 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 185.66/126.73 | % 185.66/126.73 +-Applying beta-rule and splitting (12116), into two cases. % 185.66/126.73 |-Branch one: % 185.66/126.73 | (12132) all_399_0_1410 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.73 | % 185.66/126.73 | Applying alpha-rule on (12132) yields: % 185.66/126.73 | (12133) all_399_0_1410 = 0 % 185.66/126.73 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.73 | % 185.66/126.73 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.66/126.73 | (393) all_181_1_103 = all_0_3_3 % 185.66/126.73 | % 185.66/126.73 | From (393) and (260) follows: % 185.66/126.73 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.66/126.73 | % 185.66/126.73 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.66/126.73 | (261) all_135_0_89 = 0 % 185.66/126.73 | % 185.66/126.73 | Equations (261) can reduce 230 to: % 185.66/126.73 | (173) $false % 185.66/126.73 | % 185.66/126.73 |-The branch is then unsatisfiable % 185.66/126.73 |-Branch two: % 185.66/126.73 | (12139) all_399_0_1410 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.73 | % 185.66/126.73 | Applying alpha-rule on (12139) yields: % 185.66/126.73 | (12133) all_399_0_1410 = 0 % 185.66/126.73 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.73 | % 185.66/126.73 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.66/126.73 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.66/126.73 | % 185.66/126.73 | Instantiating (400) with all_456_0_1437 yields: % 185.66/126.73 | (12431) (all_456_0_1437 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_1437 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.66/126.73 | % 185.66/126.73 +-Applying beta-rule and splitting (12409), into two cases. % 185.66/126.73 |-Branch one: % 185.66/126.73 | (12432) all_418_0_1435 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.66/126.73 | % 185.66/126.73 | Applying alpha-rule on (12432) yields: % 185.66/126.73 | (12433) all_418_0_1435 = 0 % 185.66/126.73 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.66/126.73 | % 185.66/126.73 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.66/126.73 | (1809) all_205_2_109 = all_0_3_3 % 185.66/126.73 | % 185.66/126.73 | From (1809) and (303) follows: % 185.66/126.73 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.66/126.73 | % 185.66/126.73 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.66/126.73 | (261) all_135_0_89 = 0 % 185.66/126.73 | % 185.66/126.73 | Equations (261) can reduce 230 to: % 185.66/126.73 | (173) $false % 185.66/126.73 | % 185.66/126.73 |-The branch is then unsatisfiable % 185.66/126.73 |-Branch two: % 185.66/126.73 | (12439) all_418_0_1435 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.66/126.73 | % 185.66/126.73 | Applying alpha-rule on (12439) yields: % 185.66/126.73 | (12433) all_418_0_1435 = 0 % 185.66/126.73 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.66/126.73 | % 185.66/126.73 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.66/126.73 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.66/126.73 | % 185.66/126.73 | Instantiating (1816) with all_464_0_1438 yields: % 185.66/126.73 | (12443) (all_464_0_1438 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1438 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.66/126.73 | % 185.66/126.73 +-Applying beta-rule and splitting (12431), into two cases. % 185.66/126.73 |-Branch one: % 185.66/126.74 | (12444) all_456_0_1437 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.74 | % 185.66/126.74 | Applying alpha-rule on (12444) yields: % 185.66/126.74 | (12445) all_456_0_1437 = 0 % 185.66/126.74 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.66/126.74 | (417) all_181_1_103 = all_0_6_6 % 185.66/126.74 | % 185.66/126.74 | From (417) and (269) follows: % 185.66/126.74 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.66/126.74 | (233) all_110_0_83 = 0 % 185.66/126.74 | % 185.66/126.74 | Equations (233) can reduce 209 to: % 185.66/126.74 | (173) $false % 185.66/126.74 | % 185.66/126.74 |-The branch is then unsatisfiable % 185.66/126.74 |-Branch two: % 185.66/126.74 | (12451) all_456_0_1437 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.74 | % 185.66/126.74 | Applying alpha-rule on (12451) yields: % 185.66/126.74 | (12445) all_456_0_1437 = 0 % 185.66/126.74 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.66/126.74 | (424) all_181_1_103 = all_0_9_9 % 185.66/126.74 | % 185.66/126.74 | From (424) and (259) follows: % 185.66/126.74 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.66/126.74 | % 185.66/126.74 +-Applying beta-rule and splitting (12443), into two cases. % 185.66/126.74 |-Branch one: % 185.66/126.74 | (12456) all_464_0_1438 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.66/126.74 | % 185.66/126.74 | Applying alpha-rule on (12456) yields: % 185.66/126.74 | (12457) all_464_0_1438 = 0 % 185.66/126.74 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.66/126.74 | (1833) all_205_2_109 = all_0_6_6 % 185.66/126.74 | % 185.66/126.74 | From (1833) and (309) follows: % 185.66/126.74 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.66/126.74 | (233) all_110_0_83 = 0 % 185.66/126.74 | % 185.66/126.74 | Equations (233) can reduce 209 to: % 185.66/126.74 | (173) $false % 185.66/126.74 | % 185.66/126.74 |-The branch is then unsatisfiable % 185.66/126.74 |-Branch two: % 185.66/126.74 | (12463) all_464_0_1438 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.66/126.74 | % 185.66/126.74 | Applying alpha-rule on (12463) yields: % 185.66/126.74 | (12457) all_464_0_1438 = 0 % 185.66/126.74 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.66/126.74 | (1840) all_205_2_109 = all_0_9_9 % 185.66/126.74 | % 185.66/126.74 | From (1840) and (296) follows: % 185.66/126.74 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.66/126.74 | (288) all_181_0_102 = 0 % 185.66/126.74 | % 185.66/126.74 | Equations (288) can reduce 258 to: % 185.66/126.74 | (173) $false % 185.66/126.74 | % 185.66/126.74 |-The branch is then unsatisfiable % 185.66/126.74 |-Branch two: % 185.66/126.74 | (12182) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 185.66/126.74 | % 185.66/126.74 | Applying alpha-rule on (12182) yields: % 185.66/126.74 | (12128) all_391_0_1409 = 0 % 185.66/126.74 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 185.66/126.74 | (431) all_110_1_84 = all_0_9_9 % 185.66/126.74 | % 185.66/126.74 | From (431) and (210) follows: % 185.66/126.74 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 185.66/126.74 | % 185.66/126.74 +-Applying beta-rule and splitting (12116), into two cases. % 185.66/126.74 |-Branch one: % 185.66/126.74 | (12132) all_399_0_1410 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.74 | % 185.66/126.74 | Applying alpha-rule on (12132) yields: % 185.66/126.74 | (12133) all_399_0_1410 = 0 % 185.66/126.74 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.66/126.74 | (393) all_181_1_103 = all_0_3_3 % 185.66/126.74 | % 185.66/126.74 | From (393) and (260) follows: % 185.66/126.74 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.66/126.74 | (261) all_135_0_89 = 0 % 185.66/126.74 | % 185.66/126.74 | Equations (261) can reduce 230 to: % 185.66/126.74 | (173) $false % 185.66/126.74 | % 185.66/126.74 |-The branch is then unsatisfiable % 185.66/126.74 |-Branch two: % 185.66/126.74 | (12139) all_399_0_1410 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.74 | % 185.66/126.74 | Applying alpha-rule on (12139) yields: % 185.66/126.74 | (12133) all_399_0_1410 = 0 % 185.66/126.74 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.66/126.74 | % 185.66/126.74 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.66/126.74 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.66/126.74 | % 185.66/126.74 | Instantiating (400) with all_456_0_1440 yields: % 185.66/126.74 | (12486) (all_456_0_1440 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_456_0_1440 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.66/126.74 | % 185.66/126.74 +-Applying beta-rule and splitting (12409), into two cases. % 185.66/126.74 |-Branch one: % 185.66/126.75 | (12432) all_418_0_1435 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.66/126.75 | % 185.66/126.75 | Applying alpha-rule on (12432) yields: % 185.66/126.75 | (12433) all_418_0_1435 = 0 % 185.66/126.75 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.66/126.75 | (1809) all_205_2_109 = all_0_3_3 % 185.66/126.75 | % 185.66/126.75 | From (1809) and (303) follows: % 185.66/126.75 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.66/126.75 | (261) all_135_0_89 = 0 % 185.66/126.75 | % 185.66/126.75 | Equations (261) can reduce 230 to: % 185.66/126.75 | (173) $false % 185.66/126.75 | % 185.66/126.75 |-The branch is then unsatisfiable % 185.66/126.75 |-Branch two: % 185.66/126.75 | (12439) all_418_0_1435 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.66/126.75 | % 185.66/126.75 | Applying alpha-rule on (12439) yields: % 185.66/126.75 | (12433) all_418_0_1435 = 0 % 185.66/126.75 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.66/126.75 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.66/126.75 | % 185.66/126.75 | Instantiating (1816) with all_464_0_1441 yields: % 185.66/126.75 | (12498) (all_464_0_1441 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1441 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.66/126.75 | % 185.66/126.75 +-Applying beta-rule and splitting (12486), into two cases. % 185.66/126.75 |-Branch one: % 185.66/126.75 | (12499) all_456_0_1440 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.75 | % 185.66/126.75 | Applying alpha-rule on (12499) yields: % 185.66/126.75 | (12500) all_456_0_1440 = 0 % 185.66/126.75 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.66/126.75 | (417) all_181_1_103 = all_0_6_6 % 185.66/126.75 | % 185.66/126.75 | From (417) and (259) follows: % 185.66/126.75 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.66/126.75 | % 185.66/126.75 +-Applying beta-rule and splitting (12498), into two cases. % 185.66/126.75 |-Branch one: % 185.66/126.75 | (12504) all_464_0_1441 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.66/126.75 | % 185.66/126.75 | Applying alpha-rule on (12504) yields: % 185.66/126.75 | (12505) all_464_0_1441 = 0 % 185.66/126.75 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.66/126.75 | (1833) all_205_2_109 = all_0_6_6 % 185.66/126.75 | % 185.66/126.75 | From (1833) and (296) follows: % 185.66/126.75 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.66/126.75 | (288) all_181_0_102 = 0 % 185.66/126.75 | % 185.66/126.75 | Equations (288) can reduce 258 to: % 185.66/126.75 | (173) $false % 185.66/126.75 | % 185.66/126.75 |-The branch is then unsatisfiable % 185.66/126.75 |-Branch two: % 185.66/126.75 | (12511) all_464_0_1441 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.66/126.75 | % 185.66/126.75 | Applying alpha-rule on (12511) yields: % 185.66/126.75 | (12505) all_464_0_1441 = 0 % 185.66/126.75 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.66/126.75 | (1840) all_205_2_109 = all_0_9_9 % 185.66/126.75 | % 185.66/126.75 | From (1840) and (309) follows: % 185.66/126.75 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.66/126.75 | (233) all_110_0_83 = 0 % 185.66/126.75 | % 185.66/126.75 | Equations (233) can reduce 209 to: % 185.66/126.75 | (173) $false % 185.66/126.75 | % 185.66/126.75 |-The branch is then unsatisfiable % 185.66/126.75 |-Branch two: % 185.66/126.75 | (12518) all_456_0_1440 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.75 | % 185.66/126.75 | Applying alpha-rule on (12518) yields: % 185.66/126.75 | (12500) all_456_0_1440 = 0 % 185.66/126.75 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.66/126.75 | (424) all_181_1_103 = all_0_9_9 % 185.66/126.75 | % 185.66/126.75 | From (424) and (269) follows: % 185.66/126.75 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.66/126.75 | % 185.66/126.75 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.66/126.75 | (233) all_110_0_83 = 0 % 185.66/126.75 | % 185.66/126.75 | Equations (233) can reduce 209 to: % 185.66/126.75 | (173) $false % 185.66/126.75 | % 185.66/126.75 |-The branch is then unsatisfiable % 185.66/126.76 |-Branch two: % 185.66/126.76 | (11774) all_383_0_1386 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.66/126.76 | % 185.66/126.76 | Applying alpha-rule on (11774) yields: % 185.66/126.76 | (11768) all_383_0_1386 = 0 % 185.66/126.76 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.66/126.76 | % 185.66/126.76 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.66/126.76 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.66/126.76 | % 185.66/126.76 | Instantiating (383) with all_434_0_1443 yields: % 185.66/126.76 | (12529) (all_434_0_1443 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_434_0_1443 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.66/126.76 | % 185.66/126.76 +-Applying beta-rule and splitting (12111), into two cases. % 185.66/126.76 |-Branch one: % 185.66/126.76 | (12127) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 185.66/126.76 | % 185.66/126.76 | Applying alpha-rule on (12127) yields: % 185.66/126.76 | (12128) all_391_0_1409 = 0 % 185.66/126.76 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 185.66/126.76 | % 185.66/126.76 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 185.66/126.76 | (388) all_110_1_84 = all_0_6_6 % 185.66/126.76 | % 185.66/126.76 | From (388) and (210) follows: % 185.66/126.76 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 185.66/126.76 | % 185.66/126.76 +-Applying beta-rule and splitting (12116), into two cases. % 185.66/126.76 |-Branch one: % 185.66/126.76 | (12132) all_399_0_1410 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.76 | % 185.66/126.76 | Applying alpha-rule on (12132) yields: % 185.66/126.76 | (12133) all_399_0_1410 = 0 % 185.66/126.76 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.66/126.76 | % 185.66/126.76 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.66/126.76 | (393) all_181_1_103 = all_0_3_3 % 185.66/126.76 | % 185.66/126.76 | From (393) and (259) follows: % 185.66/126.76 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.66/126.76 | % 185.66/126.76 +-Applying beta-rule and splitting (12409), into two cases. % 185.66/126.76 |-Branch one: % 185.66/126.76 | (12432) all_418_0_1435 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.66/126.76 | % 185.66/126.76 | Applying alpha-rule on (12432) yields: % 185.66/126.76 | (12433) all_418_0_1435 = 0 % 185.66/126.76 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.66/126.76 | % 185.66/126.76 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.66/126.76 | (1809) all_205_2_109 = all_0_3_3 % 185.66/126.76 | % 185.66/126.76 | From (1809) and (296) follows: % 185.66/126.76 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.66/126.76 | % 185.66/126.76 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.66/126.76 | (288) all_181_0_102 = 0 % 185.66/126.76 | % 185.66/126.76 | Equations (288) can reduce 258 to: % 185.66/126.76 | (173) $false % 185.66/126.76 | % 185.66/126.76 |-The branch is then unsatisfiable % 185.66/126.76 |-Branch two: % 185.66/126.76 | (12439) all_418_0_1435 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.66/126.76 | % 185.66/126.76 | Applying alpha-rule on (12439) yields: % 185.66/126.76 | (12433) all_418_0_1435 = 0 % 185.66/126.76 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.66/126.76 | % 185.66/126.76 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.66/126.76 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.66/126.76 | % 185.66/126.76 | Instantiating (1816) with all_464_0_1444 yields: % 185.66/126.76 | (12551) (all_464_0_1444 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1444 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.66/126.76 | % 185.66/126.76 +-Applying beta-rule and splitting (12529), into two cases. % 185.66/126.76 |-Branch one: % 185.66/126.76 | (12552) all_434_0_1443 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.76 | % 185.66/126.76 | Applying alpha-rule on (12552) yields: % 185.66/126.76 | (12553) all_434_0_1443 = 0 % 185.66/126.76 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.66/126.76 | % 185.66/126.76 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.66/126.76 | (405) all_135_1_90 = all_0_6_6 % 185.66/126.76 | % 185.66/126.76 | From (405) and (232) follows: % 185.66/126.76 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.66/126.76 | % 185.66/126.76 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.66/126.76 | (233) all_110_0_83 = 0 % 185.66/126.76 | % 185.66/126.76 | Equations (233) can reduce 209 to: % 185.66/126.76 | (173) $false % 185.66/126.76 | % 185.66/126.76 |-The branch is then unsatisfiable % 185.66/126.76 |-Branch two: % 185.66/126.76 | (12559) all_434_0_1443 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.66/126.76 | % 185.76/126.76 | Applying alpha-rule on (12559) yields: % 185.76/126.76 | (12553) all_434_0_1443 = 0 % 185.76/126.76 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.76/126.76 | % 185.76/126.76 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.76/126.76 | (412) all_135_1_90 = all_0_9_9 % 185.76/126.76 | % 185.76/126.76 | From (412) and (231) follows: % 185.76/126.76 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.76/126.76 | % 185.76/126.76 +-Applying beta-rule and splitting (12551), into two cases. % 185.76/126.76 |-Branch one: % 185.76/126.77 | (12564) all_464_0_1444 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.76/126.77 | % 185.76/126.77 | Applying alpha-rule on (12564) yields: % 185.76/126.77 | (12565) all_464_0_1444 = 0 % 185.76/126.77 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.76/126.77 | (1833) all_205_2_109 = all_0_6_6 % 185.76/126.77 | % 185.76/126.77 | From (1833) and (309) follows: % 185.76/126.77 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.76/126.77 | (233) all_110_0_83 = 0 % 185.76/126.77 | % 185.76/126.77 | Equations (233) can reduce 209 to: % 185.76/126.77 | (173) $false % 185.76/126.77 | % 185.76/126.77 |-The branch is then unsatisfiable % 185.76/126.77 |-Branch two: % 185.76/126.77 | (12571) all_464_0_1444 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.76/126.77 | % 185.76/126.77 | Applying alpha-rule on (12571) yields: % 185.76/126.77 | (12565) all_464_0_1444 = 0 % 185.76/126.77 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.76/126.77 | (1840) all_205_2_109 = all_0_9_9 % 185.76/126.77 | % 185.76/126.77 | From (1840) and (303) follows: % 185.76/126.77 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.76/126.77 | (261) all_135_0_89 = 0 % 185.76/126.77 | % 185.76/126.77 | Equations (261) can reduce 230 to: % 185.76/126.77 | (173) $false % 185.76/126.77 | % 185.76/126.77 |-The branch is then unsatisfiable % 185.76/126.77 |-Branch two: % 185.76/126.77 | (12139) all_399_0_1410 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.76/126.77 | % 185.76/126.77 | Applying alpha-rule on (12139) yields: % 185.76/126.77 | (12133) all_399_0_1410 = 0 % 185.76/126.77 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.76/126.77 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.76/126.77 | % 185.76/126.77 | Instantiating (400) with all_453_0_1446 yields: % 185.76/126.77 | (12582) (all_453_0_1446 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_1446 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.76/126.77 | % 185.76/126.77 +-Applying beta-rule and splitting (12529), into two cases. % 185.76/126.77 |-Branch one: % 185.76/126.77 | (12552) all_434_0_1443 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.76/126.77 | % 185.76/126.77 | Applying alpha-rule on (12552) yields: % 185.76/126.77 | (12553) all_434_0_1443 = 0 % 185.76/126.77 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.76/126.77 | (405) all_135_1_90 = all_0_6_6 % 185.76/126.77 | % 185.76/126.77 | From (405) and (232) follows: % 185.76/126.77 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.76/126.77 | (233) all_110_0_83 = 0 % 185.76/126.77 | % 185.76/126.77 | Equations (233) can reduce 209 to: % 185.76/126.77 | (173) $false % 185.76/126.77 | % 185.76/126.77 |-The branch is then unsatisfiable % 185.76/126.77 |-Branch two: % 185.76/126.77 | (12559) all_434_0_1443 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.76/126.77 | % 185.76/126.77 | Applying alpha-rule on (12559) yields: % 185.76/126.77 | (12553) all_434_0_1443 = 0 % 185.76/126.77 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.76/126.77 | (412) all_135_1_90 = all_0_9_9 % 185.76/126.77 | % 185.76/126.77 | From (412) and (231) follows: % 185.76/126.77 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.76/126.77 | % 185.76/126.77 +-Applying beta-rule and splitting (12582), into two cases. % 185.76/126.77 |-Branch one: % 185.76/126.77 | (12595) all_453_0_1446 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.76/126.77 | % 185.76/126.77 | Applying alpha-rule on (12595) yields: % 185.76/126.77 | (12596) all_453_0_1446 = 0 % 185.76/126.77 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.76/126.77 | (417) all_181_1_103 = all_0_6_6 % 185.76/126.77 | % 185.76/126.77 | From (417) and (269) follows: % 185.76/126.77 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.76/126.77 | % 185.76/126.77 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.76/126.77 | (233) all_110_0_83 = 0 % 185.76/126.77 | % 185.76/126.77 | Equations (233) can reduce 209 to: % 185.76/126.77 | (173) $false % 185.76/126.77 | % 185.76/126.77 |-The branch is then unsatisfiable % 185.76/126.77 |-Branch two: % 185.76/126.77 | (12602) all_453_0_1446 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.76/126.77 | % 185.76/126.77 | Applying alpha-rule on (12602) yields: % 185.76/126.78 | (12596) all_453_0_1446 = 0 % 185.76/126.78 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.76/126.78 | (424) all_181_1_103 = all_0_9_9 % 185.76/126.78 | % 185.76/126.78 | From (424) and (260) follows: % 185.76/126.78 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.76/126.78 | (261) all_135_0_89 = 0 % 185.76/126.78 | % 185.76/126.78 | Equations (261) can reduce 230 to: % 185.76/126.78 | (173) $false % 185.76/126.78 | % 185.76/126.78 |-The branch is then unsatisfiable % 185.76/126.78 |-Branch two: % 185.76/126.78 | (12182) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 185.76/126.78 | % 185.76/126.78 | Applying alpha-rule on (12182) yields: % 185.76/126.78 | (12128) all_391_0_1409 = 0 % 185.76/126.78 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 185.76/126.78 | (431) all_110_1_84 = all_0_9_9 % 185.76/126.78 | % 185.76/126.78 | From (431) and (210) follows: % 185.76/126.78 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 185.76/126.78 | % 185.76/126.78 +-Applying beta-rule and splitting (12116), into two cases. % 185.76/126.78 |-Branch one: % 185.76/126.78 | (12132) all_399_0_1410 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.76/126.78 | % 185.76/126.78 | Applying alpha-rule on (12132) yields: % 185.76/126.78 | (12133) all_399_0_1410 = 0 % 185.76/126.78 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.76/126.78 | (393) all_181_1_103 = all_0_3_3 % 185.76/126.78 | % 185.76/126.78 | From (393) and (259) follows: % 185.76/126.78 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.76/126.78 | % 185.76/126.78 +-Applying beta-rule and splitting (12409), into two cases. % 185.76/126.78 |-Branch one: % 185.76/126.78 | (12432) all_418_0_1435 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.76/126.78 | % 185.76/126.78 | Applying alpha-rule on (12432) yields: % 185.76/126.78 | (12433) all_418_0_1435 = 0 % 185.76/126.78 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.76/126.78 | (1809) all_205_2_109 = all_0_3_3 % 185.76/126.78 | % 185.76/126.78 | From (1809) and (296) follows: % 185.76/126.78 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.76/126.78 | (288) all_181_0_102 = 0 % 185.76/126.78 | % 185.76/126.78 | Equations (288) can reduce 258 to: % 185.76/126.78 | (173) $false % 185.76/126.78 | % 185.76/126.78 |-The branch is then unsatisfiable % 185.76/126.78 |-Branch two: % 185.76/126.78 | (12439) all_418_0_1435 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.76/126.78 | % 185.76/126.78 | Applying alpha-rule on (12439) yields: % 185.76/126.78 | (12433) all_418_0_1435 = 0 % 185.76/126.78 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.76/126.78 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.76/126.78 | % 185.76/126.78 | Instantiating (1816) with all_464_0_1460 yields: % 185.76/126.78 | (12630) (all_464_0_1460 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1460 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.76/126.78 | % 185.76/126.78 +-Applying beta-rule and splitting (12529), into two cases. % 185.76/126.78 |-Branch one: % 185.76/126.78 | (12552) all_434_0_1443 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.76/126.78 | % 185.76/126.78 | Applying alpha-rule on (12552) yields: % 185.76/126.78 | (12553) all_434_0_1443 = 0 % 185.76/126.78 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.76/126.78 | (405) all_135_1_90 = all_0_6_6 % 185.76/126.78 | % 185.76/126.78 | From (405) and (231) follows: % 185.76/126.78 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.76/126.78 | % 185.76/126.78 +-Applying beta-rule and splitting (12630), into two cases. % 185.76/126.78 |-Branch one: % 185.76/126.78 | (12636) all_464_0_1460 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.76/126.78 | % 185.76/126.78 | Applying alpha-rule on (12636) yields: % 185.76/126.78 | (12637) all_464_0_1460 = 0 % 185.76/126.78 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.76/126.78 | (1833) all_205_2_109 = all_0_6_6 % 185.76/126.78 | % 185.76/126.78 | From (1833) and (303) follows: % 185.76/126.78 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.76/126.78 | % 185.76/126.78 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.76/126.78 | (261) all_135_0_89 = 0 % 185.76/126.78 | % 185.76/126.78 | Equations (261) can reduce 230 to: % 185.76/126.78 | (173) $false % 185.76/126.78 | % 185.76/126.78 |-The branch is then unsatisfiable % 185.76/126.78 |-Branch two: % 185.76/126.78 | (12643) all_464_0_1460 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.76/126.78 | % 185.76/126.79 | Applying alpha-rule on (12643) yields: % 185.76/126.79 | (12637) all_464_0_1460 = 0 % 185.76/126.79 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.76/126.79 | % 185.76/126.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.76/126.79 | (1840) all_205_2_109 = all_0_9_9 % 185.76/126.79 | % 185.76/126.79 | From (1840) and (309) follows: % 185.76/126.79 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.76/126.79 | % 185.76/126.79 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.76/126.79 | (233) all_110_0_83 = 0 % 185.76/126.79 | % 185.76/126.79 | Equations (233) can reduce 209 to: % 185.76/126.79 | (173) $false % 185.76/126.79 | % 185.76/126.79 |-The branch is then unsatisfiable % 185.76/126.79 |-Branch two: % 185.76/126.79 | (12559) all_434_0_1443 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.76/126.79 | % 185.76/126.79 | Applying alpha-rule on (12559) yields: % 185.76/126.79 | (12553) all_434_0_1443 = 0 % 185.76/126.79 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.76/126.79 | % 185.76/126.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.76/126.79 | (412) all_135_1_90 = all_0_9_9 % 185.76/126.79 | % 185.76/126.79 | From (412) and (232) follows: % 185.76/126.79 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.76/126.79 | % 185.76/126.79 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.76/126.79 | (233) all_110_0_83 = 0 % 185.76/126.79 | % 185.76/126.79 | Equations (233) can reduce 209 to: % 185.76/126.79 | (173) $false % 185.76/126.79 | % 185.76/126.79 |-The branch is then unsatisfiable % 185.76/126.79 |-Branch two: % 185.76/126.79 | (12139) all_399_0_1410 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.76/126.79 | % 185.76/126.79 | Applying alpha-rule on (12139) yields: % 185.76/126.79 | (12133) all_399_0_1410 = 0 % 185.76/126.79 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.76/126.79 | % 185.76/126.79 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.76/126.79 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.76/126.79 | % 185.76/126.79 | Instantiating (400) with all_453_0_1462 yields: % 185.76/126.79 | (12661) (all_453_0_1462 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_453_0_1462 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.76/126.79 | % 185.76/126.79 +-Applying beta-rule and splitting (12529), into two cases. % 185.76/126.79 |-Branch one: % 185.76/126.79 | (12552) all_434_0_1443 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.76/126.79 | % 185.76/126.79 | Applying alpha-rule on (12552) yields: % 185.76/126.79 | (12553) all_434_0_1443 = 0 % 185.76/126.79 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.76/126.79 | % 185.76/126.79 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.76/126.79 | (405) all_135_1_90 = all_0_6_6 % 185.76/126.79 | % 185.76/126.79 | From (405) and (231) follows: % 185.76/126.79 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.76/126.79 | % 185.76/126.79 +-Applying beta-rule and splitting (12661), into two cases. % 185.76/126.79 |-Branch one: % 185.76/126.79 | (12667) all_453_0_1462 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.76/126.79 | % 185.76/126.79 | Applying alpha-rule on (12667) yields: % 185.76/126.79 | (12668) all_453_0_1462 = 0 % 185.76/126.79 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.76/126.79 | % 185.76/126.79 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.76/126.79 | (417) all_181_1_103 = all_0_6_6 % 185.76/126.79 | % 185.76/126.79 | From (417) and (260) follows: % 185.76/126.79 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.76/126.79 | % 185.76/126.79 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.76/126.79 | (261) all_135_0_89 = 0 % 185.76/126.79 | % 185.76/126.79 | Equations (261) can reduce 230 to: % 185.76/126.79 | (173) $false % 185.76/126.79 | % 185.76/126.79 |-The branch is then unsatisfiable % 185.76/126.79 |-Branch two: % 185.76/126.79 | (12674) all_453_0_1462 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.76/126.79 | % 185.78/126.79 | Applying alpha-rule on (12674) yields: % 185.78/126.79 | (12668) all_453_0_1462 = 0 % 185.78/126.79 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.78/126.79 | % 185.78/126.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.78/126.79 | (424) all_181_1_103 = all_0_9_9 % 185.78/126.79 | % 185.78/126.79 | From (424) and (269) follows: % 185.78/126.79 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.78/126.79 | % 185.78/126.79 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.78/126.79 | (233) all_110_0_83 = 0 % 185.78/126.79 | % 185.78/126.79 | Equations (233) can reduce 209 to: % 185.78/126.79 | (173) $false % 185.78/126.79 | % 185.78/126.79 |-The branch is then unsatisfiable % 185.78/126.79 |-Branch two: % 185.78/126.79 | (12559) all_434_0_1443 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.78/126.79 | % 185.78/126.79 | Applying alpha-rule on (12559) yields: % 185.78/126.79 | (12553) all_434_0_1443 = 0 % 185.78/126.79 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.78/126.79 | % 185.78/126.79 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.78/126.79 | (412) all_135_1_90 = all_0_9_9 % 185.78/126.79 | % 185.78/126.79 | From (412) and (232) follows: % 185.78/126.79 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.78/126.79 | % 185.78/126.79 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.78/126.79 | (233) all_110_0_83 = 0 % 185.78/126.79 | % 185.78/126.79 | Equations (233) can reduce 209 to: % 185.78/126.79 | (173) $false % 185.78/126.79 | % 185.78/126.79 |-The branch is then unsatisfiable % 185.78/126.80 |-Branch two: % 185.78/126.80 | (11973) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.78/126.80 | % 185.78/126.80 | Applying alpha-rule on (11973) yields: % 185.78/126.80 | (11871) all_367_0_1384 = 0 % 185.78/126.80 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.78/126.80 | % 185.78/126.80 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.78/126.80 | (1890) all_205_2_109 = all_0_5_5 % 185.78/126.80 | % 185.78/126.80 | From (1890) and (275) follows: % 185.78/126.80 | (3211) mem(all_0_5_5, all_165_1_98) = 0 % 185.78/126.80 | % 185.78/126.80 | Instantiating formula (58) with all_0_5_5, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_5_5, all_165_1_98) = all_226_0_114, mem(all_0_5_5, all_165_1_98) = 0, yields: % 185.78/126.80 | (2957) all_226_0_114 = 0 % 185.78/126.80 | % 185.78/126.80 | Equations (2957) can reduce 285 to: % 185.78/126.80 | (173) $false % 185.78/126.80 | % 185.78/126.80 |-The branch is then unsatisfiable % 185.78/126.80 |-Branch two: % 185.78/126.80 | (11980) all_351_0_1382 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 185.78/126.80 | % 185.78/126.80 | Applying alpha-rule on (11980) yields: % 185.78/126.80 | (11758) all_351_0_1382 = 0 % 185.78/126.80 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 185.78/126.80 | % 185.78/126.80 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 185.78/126.80 | (474) all_181_1_103 = all_0_5_5 % 185.78/126.80 | % 185.78/126.80 | From (474) and (259) follows: % 185.78/126.80 | (475) mem(all_0_5_5, all_129_1_88) = all_181_0_102 % 185.78/126.80 | % 185.78/126.80 +-Applying beta-rule and splitting (11741), into two cases. % 185.78/126.80 |-Branch one: % 185.78/126.80 | (11762) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.78/126.80 | % 185.78/126.80 | Applying alpha-rule on (11762) yields: % 185.78/126.80 | (11763) all_359_0_1383 = 0 % 185.78/126.80 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.78/126.80 | % 185.78/126.80 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.78/126.80 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.78/126.80 | % 185.78/126.80 | Instantiating (479) with all_410_0_1476 yields: % 185.78/126.80 | (12704) (all_410_0_1476 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_1476 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.78/126.80 | % 185.78/126.80 +-Applying beta-rule and splitting (11746), into two cases. % 185.78/126.80 |-Branch one: % 185.78/126.80 | (11870) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.78/126.80 | % 185.78/126.80 | Applying alpha-rule on (11870) yields: % 185.78/126.80 | (11871) all_367_0_1384 = 0 % 185.78/126.80 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.78/126.80 | % 185.78/126.80 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.78/126.80 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.78/126.80 | % 185.78/126.80 | Instantiating (1787) with all_418_0_1477 yields: % 185.78/126.80 | (12709) (all_418_0_1477 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_1477 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.78/126.80 | % 185.78/126.80 +-Applying beta-rule and splitting (11751), into two cases. % 185.78/126.80 |-Branch one: % 185.78/126.80 | (11767) all_383_0_1386 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.78/126.80 | % 185.78/126.80 | Applying alpha-rule on (11767) yields: % 185.78/126.80 | (11768) all_383_0_1386 = 0 % 185.78/126.80 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.78/126.80 | % 185.78/126.80 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.78/126.80 | (376) all_135_1_90 = all_0_3_3 % 185.78/126.80 | % 185.78/126.80 | From (376) and (231) follows: % 185.78/126.80 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.78/126.80 | % 185.78/126.80 +-Applying beta-rule and splitting (12111), into two cases. % 185.78/126.80 |-Branch one: % 185.78/126.80 | (12127) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 185.78/126.80 | % 185.78/126.80 | Applying alpha-rule on (12127) yields: % 185.78/126.80 | (12128) all_391_0_1409 = 0 % 185.78/126.80 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 185.78/126.80 | % 185.78/126.80 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 185.78/126.80 | (388) all_110_1_84 = all_0_6_6 % 185.78/126.80 | % 185.78/126.80 | From (388) and (210) follows: % 185.78/126.80 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 185.78/126.81 | % 185.78/126.81 +-Applying beta-rule and splitting (12704), into two cases. % 185.78/126.81 |-Branch one: % 185.78/126.81 | (12720) all_410_0_1476 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.78/126.81 | % 185.78/126.81 | Applying alpha-rule on (12720) yields: % 185.78/126.81 | (12721) all_410_0_1476 = 0 % 185.78/126.81 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.78/126.81 | (501) all_226_1_115 = all_0_3_3 % 185.78/126.81 | % 185.78/126.81 | From (501) and (295) follows: % 185.78/126.81 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.78/126.81 | (261) all_135_0_89 = 0 % 185.78/126.81 | % 185.78/126.81 | Equations (261) can reduce 230 to: % 185.78/126.81 | (173) $false % 185.78/126.81 | % 185.78/126.81 |-The branch is then unsatisfiable % 185.78/126.81 |-Branch two: % 185.78/126.81 | (12727) all_410_0_1476 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.78/126.81 | % 185.78/126.81 | Applying alpha-rule on (12727) yields: % 185.78/126.81 | (12721) all_410_0_1476 = 0 % 185.78/126.81 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.78/126.81 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.78/126.81 | % 185.78/126.81 | Instantiating (508) with all_456_0_1479 yields: % 185.78/126.81 | (12731) (all_456_0_1479 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1479 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.78/126.81 | % 185.78/126.81 +-Applying beta-rule and splitting (12709), into two cases. % 185.78/126.81 |-Branch one: % 185.78/126.81 | (12732) all_418_0_1477 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.78/126.81 | % 185.78/126.81 | Applying alpha-rule on (12732) yields: % 185.78/126.81 | (12733) all_418_0_1477 = 0 % 185.78/126.81 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.78/126.81 | (1809) all_205_2_109 = all_0_3_3 % 185.78/126.81 | % 185.78/126.81 | From (1809) and (303) follows: % 185.78/126.81 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.78/126.81 | (261) all_135_0_89 = 0 % 185.78/126.81 | % 185.78/126.81 | Equations (261) can reduce 230 to: % 185.78/126.81 | (173) $false % 185.78/126.81 | % 185.78/126.81 |-The branch is then unsatisfiable % 185.78/126.81 |-Branch two: % 185.78/126.81 | (12739) all_418_0_1477 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.78/126.81 | % 185.78/126.81 | Applying alpha-rule on (12739) yields: % 185.78/126.81 | (12733) all_418_0_1477 = 0 % 185.78/126.81 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.78/126.81 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.78/126.81 | % 185.78/126.81 | Instantiating (1816) with all_464_0_1480 yields: % 185.78/126.81 | (12743) (all_464_0_1480 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1480 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.78/126.81 | % 185.78/126.81 +-Applying beta-rule and splitting (12731), into two cases. % 185.78/126.81 |-Branch one: % 185.78/126.81 | (12744) all_456_0_1479 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.78/126.81 | % 185.78/126.81 | Applying alpha-rule on (12744) yields: % 185.78/126.81 | (12745) all_456_0_1479 = 0 % 185.78/126.81 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.78/126.81 | (525) all_226_1_115 = all_0_6_6 % 185.78/126.81 | % 185.78/126.81 | From (525) and (302) follows: % 185.78/126.81 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.78/126.81 | (233) all_110_0_83 = 0 % 185.78/126.81 | % 185.78/126.81 | Equations (233) can reduce 209 to: % 185.78/126.81 | (173) $false % 185.78/126.81 | % 185.78/126.81 |-The branch is then unsatisfiable % 185.78/126.81 |-Branch two: % 185.78/126.81 | (12751) all_456_0_1479 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.78/126.81 | % 185.78/126.81 | Applying alpha-rule on (12751) yields: % 185.78/126.81 | (12745) all_456_0_1479 = 0 % 185.78/126.81 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.78/126.81 | (532) all_226_1_115 = all_0_9_9 % 185.78/126.81 | % 185.78/126.81 | From (532) and (286) follows: % 185.78/126.81 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.78/126.81 | % 185.78/126.81 +-Applying beta-rule and splitting (12743), into two cases. % 185.78/126.81 |-Branch one: % 185.78/126.81 | (12756) all_464_0_1480 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.78/126.81 | % 185.78/126.81 | Applying alpha-rule on (12756) yields: % 185.78/126.81 | (12757) all_464_0_1480 = 0 % 185.78/126.81 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.78/126.81 | % 185.78/126.81 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.78/126.81 | (1833) all_205_2_109 = all_0_6_6 % 185.78/126.81 | % 185.78/126.81 | From (1833) and (309) follows: % 185.78/126.82 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.78/126.82 | (233) all_110_0_83 = 0 % 185.78/126.82 | % 185.78/126.82 | Equations (233) can reduce 209 to: % 185.78/126.82 | (173) $false % 185.78/126.82 | % 185.78/126.82 |-The branch is then unsatisfiable % 185.78/126.82 |-Branch two: % 185.78/126.82 | (12763) all_464_0_1480 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.78/126.82 | % 185.78/126.82 | Applying alpha-rule on (12763) yields: % 185.78/126.82 | (12757) all_464_0_1480 = 0 % 185.78/126.82 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.78/126.82 | (1840) all_205_2_109 = all_0_9_9 % 185.78/126.82 | % 185.78/126.82 | From (1840) and (275) follows: % 185.78/126.82 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.78/126.82 | (2957) all_226_0_114 = 0 % 185.78/126.82 | % 185.78/126.82 | Equations (2957) can reduce 285 to: % 185.78/126.82 | (173) $false % 185.78/126.82 | % 185.78/126.82 |-The branch is then unsatisfiable % 185.78/126.82 |-Branch two: % 185.78/126.82 | (12182) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 185.78/126.82 | % 185.78/126.82 | Applying alpha-rule on (12182) yields: % 185.78/126.82 | (12128) all_391_0_1409 = 0 % 185.78/126.82 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 185.78/126.82 | (431) all_110_1_84 = all_0_9_9 % 185.78/126.82 | % 185.78/126.82 | From (431) and (210) follows: % 185.78/126.82 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 185.78/126.82 | % 185.78/126.82 +-Applying beta-rule and splitting (12704), into two cases. % 185.78/126.82 |-Branch one: % 185.78/126.82 | (12720) all_410_0_1476 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.78/126.82 | % 185.78/126.82 | Applying alpha-rule on (12720) yields: % 185.78/126.82 | (12721) all_410_0_1476 = 0 % 185.78/126.82 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.78/126.82 | (501) all_226_1_115 = all_0_3_3 % 185.78/126.82 | % 185.78/126.82 | From (501) and (295) follows: % 185.78/126.82 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.78/126.82 | (261) all_135_0_89 = 0 % 185.78/126.82 | % 185.78/126.82 | Equations (261) can reduce 230 to: % 185.78/126.82 | (173) $false % 185.78/126.82 | % 185.78/126.82 |-The branch is then unsatisfiable % 185.78/126.82 |-Branch two: % 185.78/126.82 | (12727) all_410_0_1476 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.78/126.82 | % 185.78/126.82 | Applying alpha-rule on (12727) yields: % 185.78/126.82 | (12721) all_410_0_1476 = 0 % 185.78/126.82 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.78/126.82 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.78/126.82 | % 185.78/126.82 | Instantiating (508) with all_456_0_1482 yields: % 185.78/126.82 | (12786) (all_456_0_1482 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1482 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.78/126.82 | % 185.78/126.82 +-Applying beta-rule and splitting (12709), into two cases. % 185.78/126.82 |-Branch one: % 185.78/126.82 | (12732) all_418_0_1477 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.78/126.82 | % 185.78/126.82 | Applying alpha-rule on (12732) yields: % 185.78/126.82 | (12733) all_418_0_1477 = 0 % 185.78/126.82 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.78/126.82 | (1809) all_205_2_109 = all_0_3_3 % 185.78/126.82 | % 185.78/126.82 | From (1809) and (303) follows: % 185.78/126.82 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.78/126.82 | (261) all_135_0_89 = 0 % 185.78/126.82 | % 185.78/126.82 | Equations (261) can reduce 230 to: % 185.78/126.82 | (173) $false % 185.78/126.82 | % 185.78/126.82 |-The branch is then unsatisfiable % 185.78/126.82 |-Branch two: % 185.78/126.82 | (12739) all_418_0_1477 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.78/126.82 | % 185.78/126.82 | Applying alpha-rule on (12739) yields: % 185.78/126.82 | (12733) all_418_0_1477 = 0 % 185.78/126.82 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.78/126.82 | % 185.78/126.82 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.78/126.82 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.78/126.82 | % 185.81/126.82 | Instantiating (1816) with all_464_0_1483 yields: % 185.81/126.83 | (12798) (all_464_0_1483 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1483 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.81/126.83 | % 185.81/126.83 +-Applying beta-rule and splitting (12786), into two cases. % 185.81/126.83 |-Branch one: % 185.81/126.83 | (12799) all_456_0_1482 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.81/126.83 | % 185.81/126.83 | Applying alpha-rule on (12799) yields: % 185.81/126.83 | (12800) all_456_0_1482 = 0 % 185.81/126.83 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.81/126.83 | % 185.81/126.83 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.81/126.83 | (525) all_226_1_115 = all_0_6_6 % 185.81/126.83 | % 185.81/126.83 | From (525) and (286) follows: % 185.81/126.83 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.81/126.83 | % 185.81/126.83 +-Applying beta-rule and splitting (12798), into two cases. % 185.81/126.83 |-Branch one: % 185.81/126.83 | (12804) all_464_0_1483 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.81/126.83 | % 185.81/126.83 | Applying alpha-rule on (12804) yields: % 185.81/126.83 | (12805) all_464_0_1483 = 0 % 185.81/126.83 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.81/126.83 | % 185.81/126.83 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.81/126.83 | (1833) all_205_2_109 = all_0_6_6 % 185.81/126.83 | % 185.81/126.83 | From (1833) and (275) follows: % 185.81/126.83 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.81/126.83 | % 185.81/126.83 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.81/126.83 | (2957) all_226_0_114 = 0 % 185.81/126.83 | % 185.81/126.83 | Equations (2957) can reduce 285 to: % 185.81/126.83 | (173) $false % 185.81/126.83 | % 185.81/126.83 |-The branch is then unsatisfiable % 185.81/126.83 |-Branch two: % 185.81/126.83 | (12811) all_464_0_1483 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.81/126.83 | % 185.82/126.83 | Applying alpha-rule on (12811) yields: % 185.82/126.83 | (12805) all_464_0_1483 = 0 % 185.82/126.83 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.82/126.83 | % 185.82/126.83 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.82/126.83 | (1840) all_205_2_109 = all_0_9_9 % 185.82/126.83 | % 185.82/126.83 | From (1840) and (309) follows: % 185.82/126.83 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.82/126.83 | % 185.82/126.83 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.82/126.83 | (233) all_110_0_83 = 0 % 185.82/126.83 | % 185.82/126.83 | Equations (233) can reduce 209 to: % 185.82/126.83 | (173) $false % 185.82/126.83 | % 185.82/126.83 |-The branch is then unsatisfiable % 185.82/126.83 |-Branch two: % 185.82/126.83 | (12818) all_456_0_1482 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.82/126.83 | % 185.82/126.83 | Applying alpha-rule on (12818) yields: % 185.82/126.83 | (12800) all_456_0_1482 = 0 % 185.82/126.83 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.82/126.83 | % 185.82/126.83 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.82/126.83 | (532) all_226_1_115 = all_0_9_9 % 185.82/126.83 | % 185.82/126.83 | From (532) and (302) follows: % 185.82/126.83 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.82/126.83 | % 185.82/126.83 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.82/126.83 | (233) all_110_0_83 = 0 % 185.82/126.83 | % 185.82/126.83 | Equations (233) can reduce 209 to: % 185.82/126.83 | (173) $false % 185.82/126.83 | % 185.82/126.83 |-The branch is then unsatisfiable % 185.82/126.83 |-Branch two: % 185.82/126.83 | (11774) all_383_0_1386 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.82/126.83 | % 185.82/126.83 | Applying alpha-rule on (11774) yields: % 185.82/126.83 | (11768) all_383_0_1386 = 0 % 185.82/126.83 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.82/126.83 | % 185.82/126.83 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.82/126.83 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.82/126.83 | % 185.82/126.83 | Instantiating (383) with all_434_0_1485 yields: % 185.82/126.83 | (12829) (all_434_0_1485 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_434_0_1485 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.82/126.83 | % 185.82/126.83 +-Applying beta-rule and splitting (12111), into two cases. % 185.82/126.83 |-Branch one: % 185.82/126.83 | (12127) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 185.82/126.83 | % 185.82/126.84 | Applying alpha-rule on (12127) yields: % 185.82/126.84 | (12128) all_391_0_1409 = 0 % 185.82/126.84 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 185.82/126.84 | (388) all_110_1_84 = all_0_6_6 % 185.82/126.84 | % 185.82/126.84 | From (388) and (210) follows: % 185.82/126.84 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 185.82/126.84 | % 185.82/126.84 +-Applying beta-rule and splitting (12704), into two cases. % 185.82/126.84 |-Branch one: % 185.82/126.84 | (12720) all_410_0_1476 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.82/126.84 | % 185.82/126.84 | Applying alpha-rule on (12720) yields: % 185.82/126.84 | (12721) all_410_0_1476 = 0 % 185.82/126.84 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.82/126.84 | (501) all_226_1_115 = all_0_3_3 % 185.82/126.84 | % 185.82/126.84 | From (501) and (286) follows: % 185.82/126.84 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 185.82/126.84 | % 185.82/126.84 +-Applying beta-rule and splitting (12709), into two cases. % 185.82/126.84 |-Branch one: % 185.82/126.84 | (12732) all_418_0_1477 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.82/126.84 | % 185.82/126.84 | Applying alpha-rule on (12732) yields: % 185.82/126.84 | (12733) all_418_0_1477 = 0 % 185.82/126.84 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.82/126.84 | (1809) all_205_2_109 = all_0_3_3 % 185.82/126.84 | % 185.82/126.84 | From (1809) and (275) follows: % 185.82/126.84 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 185.82/126.84 | (2957) all_226_0_114 = 0 % 185.82/126.84 | % 185.82/126.84 | Equations (2957) can reduce 285 to: % 185.82/126.84 | (173) $false % 185.82/126.84 | % 185.82/126.84 |-The branch is then unsatisfiable % 185.82/126.84 |-Branch two: % 185.82/126.84 | (12739) all_418_0_1477 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.82/126.84 | % 185.82/126.84 | Applying alpha-rule on (12739) yields: % 185.82/126.84 | (12733) all_418_0_1477 = 0 % 185.82/126.84 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.82/126.84 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.82/126.84 | % 185.82/126.84 | Instantiating (1816) with all_464_0_1486 yields: % 185.82/126.84 | (12851) (all_464_0_1486 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1486 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.82/126.84 | % 185.82/126.84 +-Applying beta-rule and splitting (12829), into two cases. % 185.82/126.84 |-Branch one: % 185.82/126.84 | (12852) all_434_0_1485 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.82/126.84 | % 185.82/126.84 | Applying alpha-rule on (12852) yields: % 185.82/126.84 | (12853) all_434_0_1485 = 0 % 185.82/126.84 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.82/126.84 | (405) all_135_1_90 = all_0_6_6 % 185.82/126.84 | % 185.82/126.84 | From (405) and (232) follows: % 185.82/126.84 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.82/126.84 | (233) all_110_0_83 = 0 % 185.82/126.84 | % 185.82/126.84 | Equations (233) can reduce 209 to: % 185.82/126.84 | (173) $false % 185.82/126.84 | % 185.82/126.84 |-The branch is then unsatisfiable % 185.82/126.84 |-Branch two: % 185.82/126.84 | (12859) all_434_0_1485 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.82/126.84 | % 185.82/126.84 | Applying alpha-rule on (12859) yields: % 185.82/126.84 | (12853) all_434_0_1485 = 0 % 185.82/126.84 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.82/126.84 | (412) all_135_1_90 = all_0_9_9 % 185.82/126.84 | % 185.82/126.84 | From (412) and (231) follows: % 185.82/126.84 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.82/126.84 | % 185.82/126.84 +-Applying beta-rule and splitting (12851), into two cases. % 185.82/126.84 |-Branch one: % 185.82/126.84 | (12864) all_464_0_1486 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.82/126.84 | % 185.82/126.84 | Applying alpha-rule on (12864) yields: % 185.82/126.84 | (12865) all_464_0_1486 = 0 % 185.82/126.84 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.82/126.84 | (1833) all_205_2_109 = all_0_6_6 % 185.82/126.84 | % 185.82/126.84 | From (1833) and (309) follows: % 185.82/126.84 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.82/126.84 | % 185.82/126.84 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.82/126.84 | (233) all_110_0_83 = 0 % 185.82/126.84 | % 185.82/126.84 | Equations (233) can reduce 209 to: % 185.82/126.84 | (173) $false % 185.82/126.84 | % 185.82/126.84 |-The branch is then unsatisfiable % 185.82/126.84 |-Branch two: % 185.82/126.84 | (12871) all_464_0_1486 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.82/126.84 | % 185.82/126.85 | Applying alpha-rule on (12871) yields: % 185.82/126.85 | (12865) all_464_0_1486 = 0 % 185.82/126.85 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.82/126.85 | (1840) all_205_2_109 = all_0_9_9 % 185.82/126.85 | % 185.82/126.85 | From (1840) and (303) follows: % 185.82/126.85 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.82/126.85 | (261) all_135_0_89 = 0 % 185.82/126.85 | % 185.82/126.85 | Equations (261) can reduce 230 to: % 185.82/126.85 | (173) $false % 185.82/126.85 | % 185.82/126.85 |-The branch is then unsatisfiable % 185.82/126.85 |-Branch two: % 185.82/126.85 | (12727) all_410_0_1476 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.82/126.85 | % 185.82/126.85 | Applying alpha-rule on (12727) yields: % 185.82/126.85 | (12721) all_410_0_1476 = 0 % 185.82/126.85 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.82/126.85 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.82/126.85 | % 185.82/126.85 | Instantiating (508) with all_453_0_1488 yields: % 185.82/126.85 | (12882) (all_453_0_1488 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1488 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.82/126.85 | % 185.82/126.85 +-Applying beta-rule and splitting (12829), into two cases. % 185.82/126.85 |-Branch one: % 185.82/126.85 | (12852) all_434_0_1485 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.82/126.85 | % 185.82/126.85 | Applying alpha-rule on (12852) yields: % 185.82/126.85 | (12853) all_434_0_1485 = 0 % 185.82/126.85 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.82/126.85 | (405) all_135_1_90 = all_0_6_6 % 185.82/126.85 | % 185.82/126.85 | From (405) and (232) follows: % 185.82/126.85 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.82/126.85 | (233) all_110_0_83 = 0 % 185.82/126.85 | % 185.82/126.85 | Equations (233) can reduce 209 to: % 185.82/126.85 | (173) $false % 185.82/126.85 | % 185.82/126.85 |-The branch is then unsatisfiable % 185.82/126.85 |-Branch two: % 185.82/126.85 | (12859) all_434_0_1485 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.82/126.85 | % 185.82/126.85 | Applying alpha-rule on (12859) yields: % 185.82/126.85 | (12853) all_434_0_1485 = 0 % 185.82/126.85 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.82/126.85 | (412) all_135_1_90 = all_0_9_9 % 185.82/126.85 | % 185.82/126.85 | From (412) and (231) follows: % 185.82/126.85 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.82/126.85 | % 185.82/126.85 +-Applying beta-rule and splitting (12882), into two cases. % 185.82/126.85 |-Branch one: % 185.82/126.85 | (12895) all_453_0_1488 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.82/126.85 | % 185.82/126.85 | Applying alpha-rule on (12895) yields: % 185.82/126.85 | (12896) all_453_0_1488 = 0 % 185.82/126.85 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.82/126.85 | (525) all_226_1_115 = all_0_6_6 % 185.82/126.85 | % 185.82/126.85 | From (525) and (302) follows: % 185.82/126.85 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.82/126.85 | (233) all_110_0_83 = 0 % 185.82/126.85 | % 185.82/126.85 | Equations (233) can reduce 209 to: % 185.82/126.85 | (173) $false % 185.82/126.85 | % 185.82/126.85 |-The branch is then unsatisfiable % 185.82/126.85 |-Branch two: % 185.82/126.85 | (12902) all_453_0_1488 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.82/126.85 | % 185.82/126.85 | Applying alpha-rule on (12902) yields: % 185.82/126.85 | (12896) all_453_0_1488 = 0 % 185.82/126.85 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.82/126.85 | (532) all_226_1_115 = all_0_9_9 % 185.82/126.85 | % 185.82/126.85 | From (532) and (295) follows: % 185.82/126.85 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.82/126.85 | % 185.82/126.85 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.82/126.85 | (261) all_135_0_89 = 0 % 185.82/126.85 | % 185.82/126.85 | Equations (261) can reduce 230 to: % 185.82/126.85 | (173) $false % 185.82/126.85 | % 185.82/126.85 |-The branch is then unsatisfiable % 185.82/126.85 |-Branch two: % 185.82/126.85 | (12182) all_391_0_1409 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 185.82/126.85 | % 185.82/126.86 | Applying alpha-rule on (12182) yields: % 185.82/126.86 | (12128) all_391_0_1409 = 0 % 185.82/126.86 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 185.82/126.86 | (431) all_110_1_84 = all_0_9_9 % 185.82/126.86 | % 185.82/126.86 | From (431) and (210) follows: % 185.82/126.86 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 185.82/126.86 | % 185.82/126.86 +-Applying beta-rule and splitting (12704), into two cases. % 185.82/126.86 |-Branch one: % 185.82/126.86 | (12720) all_410_0_1476 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.82/126.86 | % 185.82/126.86 | Applying alpha-rule on (12720) yields: % 185.82/126.86 | (12721) all_410_0_1476 = 0 % 185.82/126.86 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.82/126.86 | (501) all_226_1_115 = all_0_3_3 % 185.82/126.86 | % 185.82/126.86 | From (501) and (286) follows: % 185.82/126.86 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 185.82/126.86 | % 185.82/126.86 +-Applying beta-rule and splitting (12709), into two cases. % 185.82/126.86 |-Branch one: % 185.82/126.86 | (12732) all_418_0_1477 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.82/126.86 | % 185.82/126.86 | Applying alpha-rule on (12732) yields: % 185.82/126.86 | (12733) all_418_0_1477 = 0 % 185.82/126.86 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.82/126.86 | (1809) all_205_2_109 = all_0_3_3 % 185.82/126.86 | % 185.82/126.86 | From (1809) and (275) follows: % 185.82/126.86 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 185.82/126.86 | (2957) all_226_0_114 = 0 % 185.82/126.86 | % 185.82/126.86 | Equations (2957) can reduce 285 to: % 185.82/126.86 | (173) $false % 185.82/126.86 | % 185.82/126.86 |-The branch is then unsatisfiable % 185.82/126.86 |-Branch two: % 185.82/126.86 | (12739) all_418_0_1477 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.82/126.86 | % 185.82/126.86 | Applying alpha-rule on (12739) yields: % 185.82/126.86 | (12733) all_418_0_1477 = 0 % 185.82/126.86 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.82/126.86 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.82/126.86 | % 185.82/126.86 | Instantiating (1816) with all_464_0_1502 yields: % 185.82/126.86 | (12930) (all_464_0_1502 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1502 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.82/126.86 | % 185.82/126.86 +-Applying beta-rule and splitting (12829), into two cases. % 185.82/126.86 |-Branch one: % 185.82/126.86 | (12852) all_434_0_1485 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.82/126.86 | % 185.82/126.86 | Applying alpha-rule on (12852) yields: % 185.82/126.86 | (12853) all_434_0_1485 = 0 % 185.82/126.86 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.82/126.86 | (405) all_135_1_90 = all_0_6_6 % 185.82/126.86 | % 185.82/126.86 | From (405) and (231) follows: % 185.82/126.86 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.82/126.86 | % 185.82/126.86 +-Applying beta-rule and splitting (12930), into two cases. % 185.82/126.86 |-Branch one: % 185.82/126.86 | (12936) all_464_0_1502 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.82/126.86 | % 185.82/126.86 | Applying alpha-rule on (12936) yields: % 185.82/126.86 | (12937) all_464_0_1502 = 0 % 185.82/126.86 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.82/126.86 | (1833) all_205_2_109 = all_0_6_6 % 185.82/126.86 | % 185.82/126.86 | From (1833) and (303) follows: % 185.82/126.86 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.82/126.86 | (261) all_135_0_89 = 0 % 185.82/126.86 | % 185.82/126.86 | Equations (261) can reduce 230 to: % 185.82/126.86 | (173) $false % 185.82/126.86 | % 185.82/126.86 |-The branch is then unsatisfiable % 185.82/126.86 |-Branch two: % 185.82/126.86 | (12943) all_464_0_1502 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.82/126.86 | % 185.82/126.86 | Applying alpha-rule on (12943) yields: % 185.82/126.86 | (12937) all_464_0_1502 = 0 % 185.82/126.86 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.82/126.86 | (1840) all_205_2_109 = all_0_9_9 % 185.82/126.86 | % 185.82/126.86 | From (1840) and (309) follows: % 185.82/126.86 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.82/126.86 | % 185.82/126.86 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.82/126.86 | (233) all_110_0_83 = 0 % 185.82/126.86 | % 185.82/126.86 | Equations (233) can reduce 209 to: % 185.82/126.86 | (173) $false % 185.82/126.86 | % 185.82/126.86 |-The branch is then unsatisfiable % 185.82/126.87 |-Branch two: % 185.82/126.87 | (12859) all_434_0_1485 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.82/126.87 | % 185.82/126.87 | Applying alpha-rule on (12859) yields: % 185.82/126.87 | (12853) all_434_0_1485 = 0 % 185.82/126.87 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.82/126.87 | (412) all_135_1_90 = all_0_9_9 % 185.82/126.87 | % 185.82/126.87 | From (412) and (232) follows: % 185.82/126.87 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.82/126.87 | (233) all_110_0_83 = 0 % 185.82/126.87 | % 185.82/126.87 | Equations (233) can reduce 209 to: % 185.82/126.87 | (173) $false % 185.82/126.87 | % 185.82/126.87 |-The branch is then unsatisfiable % 185.82/126.87 |-Branch two: % 185.82/126.87 | (12727) all_410_0_1476 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.82/126.87 | % 185.82/126.87 | Applying alpha-rule on (12727) yields: % 185.82/126.87 | (12721) all_410_0_1476 = 0 % 185.82/126.87 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.82/126.87 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.82/126.87 | % 185.82/126.87 | Instantiating (508) with all_453_0_1504 yields: % 185.82/126.87 | (12961) (all_453_0_1504 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1504 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.82/126.87 | % 185.82/126.87 +-Applying beta-rule and splitting (12829), into two cases. % 185.82/126.87 |-Branch one: % 185.82/126.87 | (12852) all_434_0_1485 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.82/126.87 | % 185.82/126.87 | Applying alpha-rule on (12852) yields: % 185.82/126.87 | (12853) all_434_0_1485 = 0 % 185.82/126.87 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.82/126.87 | (405) all_135_1_90 = all_0_6_6 % 185.82/126.87 | % 185.82/126.87 | From (405) and (231) follows: % 185.82/126.87 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.82/126.87 | % 185.82/126.87 +-Applying beta-rule and splitting (12961), into two cases. % 185.82/126.87 |-Branch one: % 185.82/126.87 | (12967) all_453_0_1504 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.82/126.87 | % 185.82/126.87 | Applying alpha-rule on (12967) yields: % 185.82/126.87 | (12968) all_453_0_1504 = 0 % 185.82/126.87 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.82/126.87 | (525) all_226_1_115 = all_0_6_6 % 185.82/126.87 | % 185.82/126.87 | From (525) and (295) follows: % 185.82/126.87 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.82/126.87 | (261) all_135_0_89 = 0 % 185.82/126.87 | % 185.82/126.87 | Equations (261) can reduce 230 to: % 185.82/126.87 | (173) $false % 185.82/126.87 | % 185.82/126.87 |-The branch is then unsatisfiable % 185.82/126.87 |-Branch two: % 185.82/126.87 | (12974) all_453_0_1504 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.82/126.87 | % 185.82/126.87 | Applying alpha-rule on (12974) yields: % 185.82/126.87 | (12968) all_453_0_1504 = 0 % 185.82/126.87 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.82/126.87 | (532) all_226_1_115 = all_0_9_9 % 185.82/126.87 | % 185.82/126.87 | From (532) and (302) follows: % 185.82/126.87 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.82/126.87 | (233) all_110_0_83 = 0 % 185.82/126.87 | % 185.82/126.87 | Equations (233) can reduce 209 to: % 185.82/126.87 | (173) $false % 185.82/126.87 | % 185.82/126.87 |-The branch is then unsatisfiable % 185.82/126.87 |-Branch two: % 185.82/126.87 | (12859) all_434_0_1485 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.82/126.87 | % 185.82/126.87 | Applying alpha-rule on (12859) yields: % 185.82/126.87 | (12853) all_434_0_1485 = 0 % 185.82/126.87 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.82/126.87 | (412) all_135_1_90 = all_0_9_9 % 185.82/126.87 | % 185.82/126.87 | From (412) and (232) follows: % 185.82/126.87 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.82/126.87 | % 185.82/126.87 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.82/126.87 | (233) all_110_0_83 = 0 % 185.82/126.87 | % 185.82/126.87 | Equations (233) can reduce 209 to: % 185.82/126.87 | (173) $false % 185.82/126.87 | % 185.82/126.87 |-The branch is then unsatisfiable % 185.82/126.88 |-Branch two: % 185.82/126.88 | (11973) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.82/126.88 | % 185.82/126.88 | Applying alpha-rule on (11973) yields: % 185.82/126.88 | (11871) all_367_0_1384 = 0 % 185.82/126.88 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.82/126.88 | % 185.82/126.88 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.82/126.88 | (1890) all_205_2_109 = all_0_5_5 % 185.82/126.88 | % 185.82/126.88 | From (1890) and (296) follows: % 185.82/126.88 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 185.82/126.88 | % 185.82/126.88 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 185.82/126.88 | (288) all_181_0_102 = 0 % 185.82/126.88 | % 185.82/126.88 | Equations (288) can reduce 258 to: % 185.82/126.88 | (173) $false % 185.82/126.88 | % 185.82/126.88 |-The branch is then unsatisfiable % 185.82/126.88 |-Branch two: % 185.82/126.88 | (11865) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.82/126.88 | % 185.82/126.88 | Applying alpha-rule on (11865) yields: % 185.82/126.88 | (11763) all_359_0_1383 = 0 % 185.82/126.88 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.82/126.88 | % 185.82/126.88 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.82/126.88 | (582) all_226_1_115 = all_0_5_5 % 185.82/126.88 | % 185.82/126.88 | From (582) and (287) follows: % 185.82/126.88 | (583) mem(all_0_5_5, all_129_1_88) = 0 % 185.82/126.88 | % 185.82/126.88 | Instantiating formula (58) with all_0_5_5, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_5_5, all_129_1_88) = all_181_0_102, mem(all_0_5_5, all_129_1_88) = 0, yields: % 185.82/126.88 | (288) all_181_0_102 = 0 % 185.82/126.88 | % 185.82/126.88 | Equations (288) can reduce 258 to: % 185.82/126.88 | (173) $false % 185.82/126.88 | % 185.82/126.88 |-The branch is then unsatisfiable % 185.82/126.88 |-Branch two: % 185.82/126.88 | (13002) all_335_0_1380 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 185.82/126.88 | % 185.82/126.88 | Applying alpha-rule on (13002) yields: % 185.82/126.88 | (11748) all_335_0_1380 = 0 % 185.82/126.88 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 185.82/126.88 | % 185.82/126.88 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 185.82/126.88 | (589) all_135_1_90 = all_0_5_5 % 185.82/126.88 | % 185.82/126.88 | From (589) and (231) follows: % 185.82/126.88 | (590) mem(all_0_5_5, all_99_1_80) = all_135_0_89 % 185.82/126.88 | % 185.82/126.88 +-Applying beta-rule and splitting (11731), into two cases. % 185.82/126.88 |-Branch one: % 185.82/126.88 | (11752) all_343_0_1381 = 0 & mem(all_110_1_84, all_72_0_70) = 0 % 185.82/126.88 | % 185.82/126.88 | Applying alpha-rule on (11752) yields: % 185.82/126.88 | (11753) all_343_0_1381 = 0 % 185.82/126.88 | (358) mem(all_110_1_84, all_72_0_70) = 0 % 185.82/126.88 | % 185.82/126.88 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_110_1_84 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_110_1_84, all_72_0_70) = 0, yields: % 185.82/126.88 | (359) all_110_1_84 = all_0_3_3 % 185.82/126.88 | % 185.82/126.88 | From (359) and (210) follows: % 185.82/126.88 | (751) mem(all_0_3_3, all_74_1_72) = all_110_0_83 % 185.82/126.88 | % 185.82/126.88 +-Applying beta-rule and splitting (11736), into two cases. % 185.82/126.88 |-Branch one: % 185.82/126.88 | (11757) all_351_0_1382 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 185.82/126.88 | % 185.82/126.88 | Applying alpha-rule on (11757) yields: % 185.82/126.88 | (11758) all_351_0_1382 = 0 % 185.82/126.88 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 185.82/126.88 | % 185.82/126.88 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 185.82/126.88 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 185.82/126.88 | % 185.82/126.88 | Instantiating (371) with all_405_0_1518 yields: % 185.82/126.88 | (13016) (all_405_0_1518 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_405_0_1518 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 185.82/126.88 | % 185.82/126.88 +-Applying beta-rule and splitting (11741), into two cases. % 185.82/126.88 |-Branch one: % 185.82/126.88 | (11762) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.82/126.88 | % 185.82/126.88 | Applying alpha-rule on (11762) yields: % 185.82/126.88 | (11763) all_359_0_1383 = 0 % 185.82/126.88 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.82/126.88 | % 185.82/126.88 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.82/126.88 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.82/126.88 | % 185.82/126.88 | Instantiating (479) with all_413_0_1519 yields: % 185.82/126.88 | (13021) (all_413_0_1519 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_413_0_1519 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.82/126.88 | % 185.82/126.89 +-Applying beta-rule and splitting (11746), into two cases. % 185.82/126.89 |-Branch one: % 185.82/126.89 | (11870) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.82/126.89 | % 185.82/126.89 | Applying alpha-rule on (11870) yields: % 185.82/126.89 | (11871) all_367_0_1384 = 0 % 185.82/126.89 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.82/126.89 | % 185.82/126.89 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.82/126.89 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.82/126.89 | % 185.82/126.89 | Instantiating (1787) with all_421_0_1520 yields: % 185.82/126.89 | (13026) (all_421_0_1520 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_421_0_1520 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.82/126.89 | % 185.82/126.89 +-Applying beta-rule and splitting (13016), into two cases. % 185.82/126.89 |-Branch one: % 185.82/126.89 | (13027) all_405_0_1518 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.82/126.89 | % 185.82/126.89 | Applying alpha-rule on (13027) yields: % 185.82/126.89 | (13028) all_405_0_1518 = 0 % 185.82/126.89 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.82/126.89 | % 185.82/126.89 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.82/126.89 | (393) all_181_1_103 = all_0_3_3 % 185.82/126.89 | % 185.82/126.89 | From (393) and (269) follows: % 185.82/126.89 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.82/126.89 | % 185.82/126.89 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.82/126.89 | (233) all_110_0_83 = 0 % 185.82/126.89 | % 185.82/126.89 | Equations (233) can reduce 209 to: % 185.82/126.89 | (173) $false % 185.82/126.89 | % 185.82/126.89 |-The branch is then unsatisfiable % 185.82/126.89 |-Branch two: % 185.82/126.89 | (13034) all_405_0_1518 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.82/126.89 | % 185.82/126.89 | Applying alpha-rule on (13034) yields: % 185.82/126.89 | (13028) all_405_0_1518 = 0 % 185.82/126.89 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.82/126.89 | % 185.82/126.89 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.82/126.89 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.82/126.89 | % 185.82/126.89 | Instantiating (400) with all_437_0_1522 yields: % 185.82/126.89 | (13038) (all_437_0_1522 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_437_0_1522 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.82/126.89 | % 185.82/126.89 +-Applying beta-rule and splitting (13021), into two cases. % 185.82/126.89 |-Branch one: % 185.82/126.89 | (13039) all_413_0_1519 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.82/126.89 | % 185.82/126.89 | Applying alpha-rule on (13039) yields: % 185.82/126.89 | (13040) all_413_0_1519 = 0 % 185.82/126.89 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.82/126.89 | % 185.82/126.89 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.82/126.89 | (501) all_226_1_115 = all_0_3_3 % 185.82/126.89 | % 185.82/126.89 | From (501) and (302) follows: % 185.82/126.89 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.82/126.89 | % 185.82/126.89 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.82/126.89 | (233) all_110_0_83 = 0 % 185.82/126.89 | % 185.82/126.89 | Equations (233) can reduce 209 to: % 185.82/126.89 | (173) $false % 185.82/126.89 | % 185.82/126.89 |-The branch is then unsatisfiable % 185.82/126.89 |-Branch two: % 185.82/126.89 | (13046) all_413_0_1519 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.82/126.89 | % 185.82/126.89 | Applying alpha-rule on (13046) yields: % 185.82/126.89 | (13040) all_413_0_1519 = 0 % 185.82/126.89 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.82/126.89 | % 185.82/126.89 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.82/126.89 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.82/126.89 | % 185.82/126.89 | Instantiating (508) with all_445_0_1523 yields: % 185.82/126.89 | (13050) (all_445_0_1523 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1523 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.82/126.89 | % 185.82/126.89 +-Applying beta-rule and splitting (13026), into two cases. % 185.82/126.89 |-Branch one: % 185.82/126.89 | (13051) all_421_0_1520 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.82/126.89 | % 185.82/126.89 | Applying alpha-rule on (13051) yields: % 185.82/126.89 | (13052) all_421_0_1520 = 0 % 185.82/126.89 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.82/126.89 | % 185.82/126.89 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.82/126.89 | (1809) all_205_2_109 = all_0_3_3 % 185.82/126.89 | % 185.82/126.89 | From (1809) and (309) follows: % 185.82/126.89 | (766) mem(all_0_3_3, all_74_1_72) = 0 % 185.82/126.89 | % 185.82/126.89 | Instantiating formula (58) with all_0_3_3, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_3_3, all_74_1_72) = all_110_0_83, mem(all_0_3_3, all_74_1_72) = 0, yields: % 185.82/126.89 | (233) all_110_0_83 = 0 % 185.82/126.89 | % 185.82/126.89 | Equations (233) can reduce 209 to: % 185.82/126.89 | (173) $false % 185.82/126.89 | % 185.82/126.89 |-The branch is then unsatisfiable % 185.82/126.89 |-Branch two: % 185.82/126.89 | (13058) all_421_0_1520 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.82/126.89 | % 185.82/126.89 | Applying alpha-rule on (13058) yields: % 185.82/126.90 | (13052) all_421_0_1520 = 0 % 185.82/126.90 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.82/126.90 | % 185.82/126.90 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.82/126.90 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.82/126.90 | % 185.82/126.90 | Instantiating (1816) with all_453_0_1524 yields: % 185.82/126.90 | (13062) (all_453_0_1524 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1524 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.82/126.90 | % 185.82/126.90 +-Applying beta-rule and splitting (13038), into two cases. % 185.82/126.90 |-Branch one: % 185.82/126.90 | (13063) all_437_0_1522 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.82/126.90 | % 185.82/126.90 | Applying alpha-rule on (13063) yields: % 185.82/126.90 | (13064) all_437_0_1522 = 0 % 185.82/126.90 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.82/126.90 | % 185.82/126.90 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.82/126.90 | (417) all_181_1_103 = all_0_6_6 % 185.82/126.90 | % 185.82/126.90 | From (417) and (259) follows: % 185.82/126.90 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.82/126.90 | % 185.82/126.90 +-Applying beta-rule and splitting (13050), into two cases. % 185.82/126.90 |-Branch one: % 185.82/126.90 | (13068) all_445_0_1523 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.82/126.90 | % 185.82/126.90 | Applying alpha-rule on (13068) yields: % 185.82/126.90 | (13069) all_445_0_1523 = 0 % 185.82/126.90 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.82/126.90 | % 185.82/126.90 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.82/126.90 | (525) all_226_1_115 = all_0_6_6 % 185.82/126.90 | % 185.82/126.90 | From (525) and (287) follows: % 185.82/126.90 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.82/126.90 | % 185.82/126.90 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.82/126.90 | (288) all_181_0_102 = 0 % 185.82/126.90 | % 185.82/126.90 | Equations (288) can reduce 258 to: % 185.82/126.90 | (173) $false % 185.82/126.90 | % 185.82/126.90 |-The branch is then unsatisfiable % 185.82/126.90 |-Branch two: % 185.82/126.90 | (13075) all_445_0_1523 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.82/126.90 | % 185.82/126.90 | Applying alpha-rule on (13075) yields: % 185.82/126.90 | (13069) all_445_0_1523 = 0 % 185.82/126.90 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.82/126.90 | % 185.82/126.90 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.82/126.90 | (532) all_226_1_115 = all_0_9_9 % 185.82/126.90 | % 185.82/126.90 | From (532) and (286) follows: % 185.82/126.90 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.82/126.90 | % 185.82/126.90 +-Applying beta-rule and splitting (13062), into two cases. % 185.82/126.90 |-Branch one: % 185.82/126.90 | (13080) all_453_0_1524 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.82/126.90 | % 185.90/126.90 | Applying alpha-rule on (13080) yields: % 185.90/126.90 | (13081) all_453_0_1524 = 0 % 185.90/126.90 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.90/126.90 | % 185.90/126.90 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.90/126.90 | (1833) all_205_2_109 = all_0_6_6 % 185.90/126.90 | % 185.90/126.90 | From (1833) and (296) follows: % 185.90/126.90 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.90/126.90 | % 185.90/126.90 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.90/126.90 | (288) all_181_0_102 = 0 % 185.90/126.90 | % 185.90/126.90 | Equations (288) can reduce 258 to: % 185.90/126.90 | (173) $false % 185.90/126.90 | % 185.90/126.90 |-The branch is then unsatisfiable % 185.90/126.90 |-Branch two: % 185.90/126.90 | (13087) all_453_0_1524 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.90 | % 185.90/126.90 | Applying alpha-rule on (13087) yields: % 185.90/126.90 | (13081) all_453_0_1524 = 0 % 185.90/126.90 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.90 | % 185.90/126.90 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.90/126.90 | (1840) all_205_2_109 = all_0_9_9 % 185.90/126.90 | % 185.90/126.90 | From (1840) and (275) follows: % 185.90/126.90 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.90/126.90 | % 185.90/126.90 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.90/126.90 | (2957) all_226_0_114 = 0 % 185.90/126.90 | % 185.90/126.90 | Equations (2957) can reduce 285 to: % 185.90/126.90 | (173) $false % 185.90/126.90 | % 185.90/126.90 |-The branch is then unsatisfiable % 185.90/126.90 |-Branch two: % 185.90/126.90 | (13094) all_437_0_1522 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.90/126.90 | % 185.90/126.90 | Applying alpha-rule on (13094) yields: % 185.90/126.90 | (13064) all_437_0_1522 = 0 % 185.90/126.90 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.90/126.91 | (424) all_181_1_103 = all_0_9_9 % 185.90/126.91 | % 185.90/126.91 | From (424) and (259) follows: % 185.90/126.91 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.90/126.91 | % 185.90/126.91 +-Applying beta-rule and splitting (13050), into two cases. % 185.90/126.91 |-Branch one: % 185.90/126.91 | (13068) all_445_0_1523 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.90/126.91 | % 185.90/126.91 | Applying alpha-rule on (13068) yields: % 185.90/126.91 | (13069) all_445_0_1523 = 0 % 185.90/126.91 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.90/126.91 | (525) all_226_1_115 = all_0_6_6 % 185.90/126.91 | % 185.90/126.91 | From (525) and (286) follows: % 185.90/126.91 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.90/126.91 | % 185.90/126.91 +-Applying beta-rule and splitting (13062), into two cases. % 185.90/126.91 |-Branch one: % 185.90/126.91 | (13080) all_453_0_1524 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.90/126.91 | % 185.90/126.91 | Applying alpha-rule on (13080) yields: % 185.90/126.91 | (13081) all_453_0_1524 = 0 % 185.90/126.91 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.90/126.91 | (1833) all_205_2_109 = all_0_6_6 % 185.90/126.91 | % 185.90/126.91 | From (1833) and (275) follows: % 185.90/126.91 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.90/126.91 | (2957) all_226_0_114 = 0 % 185.90/126.91 | % 185.90/126.91 | Equations (2957) can reduce 285 to: % 185.90/126.91 | (173) $false % 185.90/126.91 | % 185.90/126.91 |-The branch is then unsatisfiable % 185.90/126.91 |-Branch two: % 185.90/126.91 | (13087) all_453_0_1524 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.91 | % 185.90/126.91 | Applying alpha-rule on (13087) yields: % 185.90/126.91 | (13081) all_453_0_1524 = 0 % 185.90/126.91 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.90/126.91 | (1840) all_205_2_109 = all_0_9_9 % 185.90/126.91 | % 185.90/126.91 | From (1840) and (296) follows: % 185.90/126.91 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.90/126.91 | (288) all_181_0_102 = 0 % 185.90/126.91 | % 185.90/126.91 | Equations (288) can reduce 258 to: % 185.90/126.91 | (173) $false % 185.90/126.91 | % 185.90/126.91 |-The branch is then unsatisfiable % 185.90/126.91 |-Branch two: % 185.90/126.91 | (13075) all_445_0_1523 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.90/126.91 | % 185.90/126.91 | Applying alpha-rule on (13075) yields: % 185.90/126.91 | (13069) all_445_0_1523 = 0 % 185.90/126.91 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.90/126.91 | (532) all_226_1_115 = all_0_9_9 % 185.90/126.91 | % 185.90/126.91 | From (532) and (287) follows: % 185.90/126.91 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.90/126.91 | (288) all_181_0_102 = 0 % 185.90/126.91 | % 185.90/126.91 | Equations (288) can reduce 258 to: % 185.90/126.91 | (173) $false % 185.90/126.91 | % 185.90/126.91 |-The branch is then unsatisfiable % 185.90/126.91 |-Branch two: % 185.90/126.91 | (11973) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.90/126.91 | % 185.90/126.91 | Applying alpha-rule on (11973) yields: % 185.90/126.91 | (11871) all_367_0_1384 = 0 % 185.90/126.91 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.90/126.91 | (1890) all_205_2_109 = all_0_5_5 % 185.90/126.91 | % 185.90/126.91 | From (1890) and (303) follows: % 185.90/126.91 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 185.90/126.91 | % 185.90/126.91 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 185.90/126.91 | (261) all_135_0_89 = 0 % 185.90/126.91 | % 185.90/126.91 | Equations (261) can reduce 230 to: % 185.90/126.91 | (173) $false % 185.90/126.91 | % 185.90/126.91 |-The branch is then unsatisfiable % 185.90/126.91 |-Branch two: % 185.90/126.91 | (11865) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.90/126.92 | % 185.90/126.92 | Applying alpha-rule on (11865) yields: % 185.90/126.92 | (11763) all_359_0_1383 = 0 % 185.90/126.92 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.90/126.92 | % 185.90/126.92 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.90/126.92 | (582) all_226_1_115 = all_0_5_5 % 185.90/126.92 | % 185.90/126.92 | From (582) and (295) follows: % 185.90/126.92 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 185.90/126.92 | % 185.90/126.92 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 185.90/126.92 | (261) all_135_0_89 = 0 % 185.90/126.92 | % 185.90/126.92 | Equations (261) can reduce 230 to: % 185.90/126.92 | (173) $false % 185.90/126.92 | % 185.90/126.92 |-The branch is then unsatisfiable % 185.90/126.92 |-Branch two: % 185.90/126.92 | (11980) all_351_0_1382 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 185.90/126.92 | % 185.90/126.92 | Applying alpha-rule on (11980) yields: % 185.90/126.92 | (11758) all_351_0_1382 = 0 % 185.90/126.92 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 185.90/126.92 | % 185.90/126.92 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 185.90/126.92 | (474) all_181_1_103 = all_0_5_5 % 185.90/126.92 | % 185.90/126.92 | From (474) and (260) follows: % 185.90/126.92 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 185.90/126.92 | % 185.90/126.92 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 185.90/126.92 | (261) all_135_0_89 = 0 % 185.90/126.92 | % 185.90/126.92 | Equations (261) can reduce 230 to: % 185.90/126.92 | (173) $false % 185.90/126.92 | % 185.90/126.92 |-The branch is then unsatisfiable % 185.90/126.92 |-Branch two: % 185.90/126.92 | (12107) all_343_0_1381 = 0 & mem(all_110_1_84, all_0_3_3) = 0 % 185.90/126.92 | % 185.90/126.92 | Applying alpha-rule on (12107) yields: % 185.90/126.92 | (11753) all_343_0_1381 = 0 % 185.90/126.92 | (365) mem(all_110_1_84, all_0_3_3) = 0 % 185.90/126.92 | % 185.90/126.92 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_110_1_84, all_0_3_3) = 0, yields: % 185.90/126.92 | (366) ? [v0] : ((v0 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (v0 = 0 & mem(all_110_1_84, all_0_6_6) = 0)) % 185.90/126.92 | % 185.90/126.92 | Instantiating (366) with all_394_0_1526 yields: % 185.90/126.92 | (13150) (all_394_0_1526 = 0 & mem(all_110_1_84, all_0_5_5) = 0) | (all_394_0_1526 = 0 & mem(all_110_1_84, all_0_6_6) = 0) % 185.90/126.92 | % 185.90/126.92 +-Applying beta-rule and splitting (11736), into two cases. % 185.90/126.92 |-Branch one: % 185.90/126.92 | (11757) all_351_0_1382 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 185.90/126.92 | % 185.90/126.92 | Applying alpha-rule on (11757) yields: % 185.90/126.92 | (11758) all_351_0_1382 = 0 % 185.90/126.92 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 185.90/126.92 | % 185.90/126.92 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 185.90/126.92 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 185.90/126.92 | % 185.90/126.92 | Instantiating (371) with all_402_0_1527 yields: % 185.90/126.92 | (13155) (all_402_0_1527 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_402_0_1527 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 185.90/126.92 | % 185.90/126.92 +-Applying beta-rule and splitting (11741), into two cases. % 185.90/126.92 |-Branch one: % 185.90/126.92 | (11762) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.90/126.92 | % 185.90/126.92 | Applying alpha-rule on (11762) yields: % 185.90/126.92 | (11763) all_359_0_1383 = 0 % 185.90/126.92 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.90/126.92 | % 185.90/126.92 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.90/126.92 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.90/126.92 | % 185.90/126.92 | Instantiating (479) with all_410_0_1528 yields: % 185.90/126.92 | (13160) (all_410_0_1528 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_410_0_1528 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.90/126.92 | % 185.90/126.92 +-Applying beta-rule and splitting (11746), into two cases. % 185.90/126.92 |-Branch one: % 185.90/126.92 | (11870) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.90/126.92 | % 185.90/126.92 | Applying alpha-rule on (11870) yields: % 185.90/126.92 | (11871) all_367_0_1384 = 0 % 185.90/126.92 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.90/126.92 | % 185.90/126.92 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.90/126.92 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.90/126.92 | % 185.90/126.92 | Instantiating (1787) with all_418_0_1529 yields: % 185.90/126.92 | (13165) (all_418_0_1529 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_418_0_1529 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.90/126.92 | % 185.90/126.92 +-Applying beta-rule and splitting (13150), into two cases. % 185.90/126.92 |-Branch one: % 185.90/126.92 | (13166) all_394_0_1526 = 0 & mem(all_110_1_84, all_0_5_5) = 0 % 185.90/126.92 | % 185.90/126.92 | Applying alpha-rule on (13166) yields: % 185.90/126.92 | (13167) all_394_0_1526 = 0 % 185.90/126.92 | (387) mem(all_110_1_84, all_0_5_5) = 0 % 185.90/126.92 | % 185.90/126.92 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_110_1_84 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_110_1_84, all_0_5_5) = 0, yields: % 185.90/126.92 | (388) all_110_1_84 = all_0_6_6 % 185.90/126.92 | % 185.90/126.92 | From (388) and (210) follows: % 185.90/126.92 | (389) mem(all_0_6_6, all_74_1_72) = all_110_0_83 % 185.90/126.92 | % 185.90/126.93 +-Applying beta-rule and splitting (13155), into two cases. % 185.90/126.93 |-Branch one: % 185.90/126.93 | (13171) all_402_0_1527 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.90/126.93 | % 185.90/126.93 | Applying alpha-rule on (13171) yields: % 185.90/126.93 | (13172) all_402_0_1527 = 0 % 185.90/126.93 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.90/126.93 | % 185.90/126.93 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.90/126.93 | (393) all_181_1_103 = all_0_3_3 % 185.90/126.93 | % 185.90/126.93 | From (393) and (259) follows: % 185.90/126.93 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.90/126.93 | % 185.90/126.93 +-Applying beta-rule and splitting (13160), into two cases. % 185.90/126.93 |-Branch one: % 185.90/126.93 | (13176) all_410_0_1528 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.90/126.93 | % 185.90/126.93 | Applying alpha-rule on (13176) yields: % 185.90/126.93 | (13177) all_410_0_1528 = 0 % 185.90/126.93 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.90/126.93 | % 185.90/126.93 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.90/126.93 | (501) all_226_1_115 = all_0_3_3 % 185.90/126.93 | % 185.90/126.93 | From (501) and (287) follows: % 185.90/126.93 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.90/126.93 | % 185.90/126.93 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.90/126.93 | (288) all_181_0_102 = 0 % 185.90/126.93 | % 185.90/126.93 | Equations (288) can reduce 258 to: % 185.90/126.93 | (173) $false % 185.90/126.93 | % 185.90/126.93 |-The branch is then unsatisfiable % 185.90/126.93 |-Branch two: % 185.90/126.93 | (13183) all_410_0_1528 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.90/126.93 | % 185.90/126.93 | Applying alpha-rule on (13183) yields: % 185.90/126.93 | (13177) all_410_0_1528 = 0 % 185.90/126.93 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.90/126.93 | % 185.90/126.93 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.90/126.93 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.90/126.93 | % 185.90/126.93 | Instantiating (508) with all_456_0_1531 yields: % 185.90/126.93 | (13187) (all_456_0_1531 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1531 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.90/126.93 | % 185.90/126.93 +-Applying beta-rule and splitting (13165), into two cases. % 185.90/126.93 |-Branch one: % 185.90/126.93 | (13188) all_418_0_1529 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.90/126.93 | % 185.90/126.93 | Applying alpha-rule on (13188) yields: % 185.90/126.93 | (13189) all_418_0_1529 = 0 % 185.90/126.93 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.90/126.93 | % 185.90/126.93 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.90/126.93 | (1809) all_205_2_109 = all_0_3_3 % 185.90/126.93 | % 185.90/126.93 | From (1809) and (296) follows: % 185.90/126.93 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.90/126.93 | % 185.90/126.93 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.90/126.93 | (288) all_181_0_102 = 0 % 185.90/126.93 | % 185.90/126.93 | Equations (288) can reduce 258 to: % 185.90/126.93 | (173) $false % 185.90/126.93 | % 185.90/126.93 |-The branch is then unsatisfiable % 185.90/126.93 |-Branch two: % 185.90/126.93 | (13195) all_418_0_1529 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.90/126.93 | % 185.90/126.93 | Applying alpha-rule on (13195) yields: % 185.90/126.93 | (13189) all_418_0_1529 = 0 % 185.90/126.93 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.90/126.93 | % 185.90/126.93 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.90/126.93 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.90/126.93 | % 185.90/126.93 | Instantiating (1816) with all_464_0_1532 yields: % 185.90/126.93 | (13199) (all_464_0_1532 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1532 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.90/126.93 | % 185.90/126.93 +-Applying beta-rule and splitting (13187), into two cases. % 185.90/126.93 |-Branch one: % 185.90/126.93 | (13200) all_456_0_1531 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.90/126.93 | % 185.90/126.93 | Applying alpha-rule on (13200) yields: % 185.90/126.93 | (13201) all_456_0_1531 = 0 % 185.90/126.93 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.90/126.93 | % 185.90/126.93 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.90/126.93 | (525) all_226_1_115 = all_0_6_6 % 185.90/126.93 | % 185.90/126.93 | From (525) and (302) follows: % 185.90/126.93 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.90/126.93 | % 185.90/126.93 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.90/126.93 | (233) all_110_0_83 = 0 % 185.90/126.93 | % 185.90/126.93 | Equations (233) can reduce 209 to: % 185.90/126.93 | (173) $false % 185.90/126.93 | % 185.90/126.93 |-The branch is then unsatisfiable % 185.90/126.93 |-Branch two: % 185.90/126.93 | (13207) all_456_0_1531 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.90/126.93 | % 185.90/126.93 | Applying alpha-rule on (13207) yields: % 185.90/126.94 | (13201) all_456_0_1531 = 0 % 185.90/126.94 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.90/126.94 | % 185.90/126.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.90/126.94 | (532) all_226_1_115 = all_0_9_9 % 185.90/126.94 | % 185.90/126.94 | From (532) and (286) follows: % 185.90/126.94 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.90/126.94 | % 185.90/126.94 +-Applying beta-rule and splitting (13199), into two cases. % 185.90/126.94 |-Branch one: % 185.90/126.94 | (13212) all_464_0_1532 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.90/126.94 | % 185.90/126.94 | Applying alpha-rule on (13212) yields: % 185.90/126.94 | (13213) all_464_0_1532 = 0 % 185.90/126.94 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.90/126.94 | % 185.90/126.94 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.90/126.94 | (1833) all_205_2_109 = all_0_6_6 % 185.90/126.94 | % 185.90/126.94 | From (1833) and (309) follows: % 185.90/126.94 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.90/126.94 | % 185.90/126.94 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.90/126.94 | (233) all_110_0_83 = 0 % 185.90/126.94 | % 185.90/126.94 | Equations (233) can reduce 209 to: % 185.90/126.94 | (173) $false % 185.90/126.94 | % 185.90/126.94 |-The branch is then unsatisfiable % 185.90/126.94 |-Branch two: % 185.90/126.94 | (13219) all_464_0_1532 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.94 | % 185.90/126.94 | Applying alpha-rule on (13219) yields: % 185.90/126.94 | (13213) all_464_0_1532 = 0 % 185.90/126.94 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.94 | % 185.90/126.94 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.90/126.94 | (1840) all_205_2_109 = all_0_9_9 % 185.90/126.94 | % 185.90/126.94 | From (1840) and (275) follows: % 185.90/126.94 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.90/126.94 | % 185.90/126.94 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.90/126.94 | (2957) all_226_0_114 = 0 % 185.90/126.94 | % 185.90/126.94 | Equations (2957) can reduce 285 to: % 185.90/126.94 | (173) $false % 185.90/126.94 | % 185.90/126.94 |-The branch is then unsatisfiable % 185.90/126.94 |-Branch two: % 185.90/126.94 | (13226) all_402_0_1527 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.90/126.94 | % 185.90/126.94 | Applying alpha-rule on (13226) yields: % 185.90/126.94 | (13172) all_402_0_1527 = 0 % 185.90/126.94 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.90/126.94 | % 185.90/126.94 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.90/126.94 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.90/126.94 | % 185.90/126.94 | Instantiating (400) with all_445_0_1534 yields: % 185.90/126.94 | (13230) (all_445_0_1534 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_1534 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.90/126.94 | % 185.90/126.94 +-Applying beta-rule and splitting (13160), into two cases. % 185.90/126.94 |-Branch one: % 185.90/126.94 | (13176) all_410_0_1528 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.90/126.94 | % 185.90/126.94 | Applying alpha-rule on (13176) yields: % 185.90/126.94 | (13177) all_410_0_1528 = 0 % 185.90/126.94 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.90/126.94 | % 185.90/126.94 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.90/126.94 | (501) all_226_1_115 = all_0_3_3 % 185.90/126.94 | % 185.90/126.94 | From (501) and (286) follows: % 185.90/126.94 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 185.90/126.94 | % 185.90/126.94 +-Applying beta-rule and splitting (13165), into two cases. % 185.90/126.94 |-Branch one: % 185.90/126.94 | (13188) all_418_0_1529 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.90/126.94 | % 185.90/126.94 | Applying alpha-rule on (13188) yields: % 185.90/126.94 | (13189) all_418_0_1529 = 0 % 185.90/126.94 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.90/126.94 | % 185.90/126.94 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.90/126.94 | (1809) all_205_2_109 = all_0_3_3 % 185.90/126.94 | % 185.90/126.94 | From (1809) and (275) follows: % 185.90/126.94 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 185.90/126.94 | % 185.90/126.94 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 185.90/126.94 | (2957) all_226_0_114 = 0 % 185.90/126.94 | % 185.90/126.94 | Equations (2957) can reduce 285 to: % 185.90/126.94 | (173) $false % 185.90/126.94 | % 185.90/126.94 |-The branch is then unsatisfiable % 185.90/126.94 |-Branch two: % 185.90/126.95 | (13195) all_418_0_1529 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.90/126.95 | % 185.90/126.95 | Applying alpha-rule on (13195) yields: % 185.90/126.95 | (13189) all_418_0_1529 = 0 % 185.90/126.95 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.90/126.95 | % 185.90/126.95 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.90/126.95 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.90/126.95 | % 185.90/126.95 | Instantiating (1816) with all_464_0_1535 yields: % 185.90/126.95 | (13247) (all_464_0_1535 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1535 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.90/126.95 | % 185.90/126.95 +-Applying beta-rule and splitting (13230), into two cases. % 185.90/126.95 |-Branch one: % 185.90/126.95 | (13248) all_445_0_1534 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.90/126.95 | % 185.90/126.95 | Applying alpha-rule on (13248) yields: % 185.90/126.95 | (13249) all_445_0_1534 = 0 % 185.90/126.95 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.90/126.95 | % 185.90/126.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.90/126.95 | (417) all_181_1_103 = all_0_6_6 % 185.90/126.95 | % 185.90/126.95 | From (417) and (269) follows: % 185.90/126.95 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.90/126.95 | % 185.90/126.95 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.90/126.95 | (233) all_110_0_83 = 0 % 185.90/126.95 | % 185.90/126.95 | Equations (233) can reduce 209 to: % 185.90/126.95 | (173) $false % 185.90/126.95 | % 185.90/126.95 |-The branch is then unsatisfiable % 185.90/126.95 |-Branch two: % 185.90/126.95 | (13255) all_445_0_1534 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.90/126.95 | % 185.90/126.95 | Applying alpha-rule on (13255) yields: % 185.90/126.95 | (13249) all_445_0_1534 = 0 % 185.90/126.95 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.90/126.95 | % 185.90/126.95 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.90/126.95 | (424) all_181_1_103 = all_0_9_9 % 185.90/126.95 | % 185.90/126.95 | From (424) and (259) follows: % 185.90/126.95 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.90/126.95 | % 185.90/126.95 +-Applying beta-rule and splitting (13247), into two cases. % 185.90/126.95 |-Branch one: % 185.90/126.95 | (13260) all_464_0_1535 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.90/126.95 | % 185.90/126.95 | Applying alpha-rule on (13260) yields: % 185.90/126.95 | (13261) all_464_0_1535 = 0 % 185.90/126.95 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.90/126.95 | % 185.90/126.95 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.90/126.95 | (1833) all_205_2_109 = all_0_6_6 % 185.90/126.95 | % 185.90/126.95 | From (1833) and (309) follows: % 185.90/126.95 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.90/126.95 | % 185.90/126.95 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.90/126.95 | (233) all_110_0_83 = 0 % 185.90/126.95 | % 185.90/126.95 | Equations (233) can reduce 209 to: % 185.90/126.95 | (173) $false % 185.90/126.95 | % 185.90/126.95 |-The branch is then unsatisfiable % 185.90/126.95 |-Branch two: % 185.90/126.95 | (13267) all_464_0_1535 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.95 | % 185.90/126.95 | Applying alpha-rule on (13267) yields: % 185.90/126.95 | (13261) all_464_0_1535 = 0 % 185.90/126.95 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.95 | % 185.90/126.95 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.90/126.95 | (1840) all_205_2_109 = all_0_9_9 % 185.90/126.95 | % 185.90/126.95 | From (1840) and (296) follows: % 185.90/126.95 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.90/126.95 | % 185.90/126.95 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.90/126.95 | (288) all_181_0_102 = 0 % 185.90/126.95 | % 185.90/126.95 | Equations (288) can reduce 258 to: % 185.90/126.95 | (173) $false % 185.90/126.95 | % 185.90/126.95 |-The branch is then unsatisfiable % 185.90/126.95 |-Branch two: % 185.90/126.95 | (13183) all_410_0_1528 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.90/126.95 | % 185.90/126.95 | Applying alpha-rule on (13183) yields: % 185.90/126.95 | (13177) all_410_0_1528 = 0 % 185.90/126.95 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.90/126.95 | % 185.90/126.95 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.90/126.95 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.90/126.95 | % 185.90/126.95 | Instantiating (508) with all_453_0_1537 yields: % 185.90/126.95 | (13278) (all_453_0_1537 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1537 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.90/126.95 | % 185.90/126.95 +-Applying beta-rule and splitting (13230), into two cases. % 185.90/126.95 |-Branch one: % 185.90/126.96 | (13248) all_445_0_1534 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.90/126.96 | % 185.90/126.96 | Applying alpha-rule on (13248) yields: % 185.90/126.96 | (13249) all_445_0_1534 = 0 % 185.90/126.96 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.90/126.96 | (417) all_181_1_103 = all_0_6_6 % 185.90/126.96 | % 185.90/126.96 | From (417) and (269) follows: % 185.90/126.96 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.90/126.96 | (233) all_110_0_83 = 0 % 185.90/126.96 | % 185.90/126.96 | Equations (233) can reduce 209 to: % 185.90/126.96 | (173) $false % 185.90/126.96 | % 185.90/126.96 |-The branch is then unsatisfiable % 185.90/126.96 |-Branch two: % 185.90/126.96 | (13255) all_445_0_1534 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.90/126.96 | % 185.90/126.96 | Applying alpha-rule on (13255) yields: % 185.90/126.96 | (13249) all_445_0_1534 = 0 % 185.90/126.96 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.90/126.96 | (424) all_181_1_103 = all_0_9_9 % 185.90/126.96 | % 185.90/126.96 | From (424) and (259) follows: % 185.90/126.96 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.90/126.96 | % 185.90/126.96 +-Applying beta-rule and splitting (13278), into two cases. % 185.90/126.96 |-Branch one: % 185.90/126.96 | (13291) all_453_0_1537 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.90/126.96 | % 185.90/126.96 | Applying alpha-rule on (13291) yields: % 185.90/126.96 | (13292) all_453_0_1537 = 0 % 185.90/126.96 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.90/126.96 | (525) all_226_1_115 = all_0_6_6 % 185.90/126.96 | % 185.90/126.96 | From (525) and (302) follows: % 185.90/126.96 | (406) mem(all_0_6_6, all_74_1_72) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (58) with all_0_6_6, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_6_6, all_74_1_72) = all_110_0_83, mem(all_0_6_6, all_74_1_72) = 0, yields: % 185.90/126.96 | (233) all_110_0_83 = 0 % 185.90/126.96 | % 185.90/126.96 | Equations (233) can reduce 209 to: % 185.90/126.96 | (173) $false % 185.90/126.96 | % 185.90/126.96 |-The branch is then unsatisfiable % 185.90/126.96 |-Branch two: % 185.90/126.96 | (13298) all_453_0_1537 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.90/126.96 | % 185.90/126.96 | Applying alpha-rule on (13298) yields: % 185.90/126.96 | (13292) all_453_0_1537 = 0 % 185.90/126.96 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.90/126.96 | (532) all_226_1_115 = all_0_9_9 % 185.90/126.96 | % 185.90/126.96 | From (532) and (287) follows: % 185.90/126.96 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.90/126.96 | (288) all_181_0_102 = 0 % 185.90/126.96 | % 185.90/126.96 | Equations (288) can reduce 258 to: % 185.90/126.96 | (173) $false % 185.90/126.96 | % 185.90/126.96 |-The branch is then unsatisfiable % 185.90/126.96 |-Branch two: % 185.90/126.96 | (13305) all_394_0_1526 = 0 & mem(all_110_1_84, all_0_6_6) = 0 % 185.90/126.96 | % 185.90/126.96 | Applying alpha-rule on (13305) yields: % 185.90/126.96 | (13167) all_394_0_1526 = 0 % 185.90/126.96 | (430) mem(all_110_1_84, all_0_6_6) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_110_1_84 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_110_1_84, all_0_6_6) = 0, yields: % 185.90/126.96 | (431) all_110_1_84 = all_0_9_9 % 185.90/126.96 | % 185.90/126.96 | From (431) and (210) follows: % 185.90/126.96 | (432) mem(all_0_9_9, all_74_1_72) = all_110_0_83 % 185.90/126.96 | % 185.90/126.96 +-Applying beta-rule and splitting (13155), into two cases. % 185.90/126.96 |-Branch one: % 185.90/126.96 | (13171) all_402_0_1527 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.90/126.96 | % 185.90/126.96 | Applying alpha-rule on (13171) yields: % 185.90/126.96 | (13172) all_402_0_1527 = 0 % 185.90/126.96 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.90/126.96 | (393) all_181_1_103 = all_0_3_3 % 185.90/126.96 | % 185.90/126.96 | From (393) and (259) follows: % 185.90/126.96 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.90/126.96 | % 185.90/126.96 +-Applying beta-rule and splitting (13160), into two cases. % 185.90/126.96 |-Branch one: % 185.90/126.96 | (13176) all_410_0_1528 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.90/126.96 | % 185.90/126.96 | Applying alpha-rule on (13176) yields: % 185.90/126.96 | (13177) all_410_0_1528 = 0 % 185.90/126.96 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.90/126.96 | % 185.90/126.96 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.90/126.96 | (501) all_226_1_115 = all_0_3_3 % 185.90/126.96 | % 185.90/126.96 | From (501) and (287) follows: % 185.90/126.97 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.90/126.97 | (288) all_181_0_102 = 0 % 185.90/126.97 | % 185.90/126.97 | Equations (288) can reduce 258 to: % 185.90/126.97 | (173) $false % 185.90/126.97 | % 185.90/126.97 |-The branch is then unsatisfiable % 185.90/126.97 |-Branch two: % 185.90/126.97 | (13183) all_410_0_1528 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.90/126.97 | % 185.90/126.97 | Applying alpha-rule on (13183) yields: % 185.90/126.97 | (13177) all_410_0_1528 = 0 % 185.90/126.97 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.90/126.97 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.90/126.97 | % 185.90/126.97 | Instantiating (508) with all_456_0_1551 yields: % 185.90/126.97 | (13326) (all_456_0_1551 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_456_0_1551 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.90/126.97 | % 185.90/126.97 +-Applying beta-rule and splitting (13165), into two cases. % 185.90/126.97 |-Branch one: % 185.90/126.97 | (13188) all_418_0_1529 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.90/126.97 | % 185.90/126.97 | Applying alpha-rule on (13188) yields: % 185.90/126.97 | (13189) all_418_0_1529 = 0 % 185.90/126.97 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.90/126.97 | (1809) all_205_2_109 = all_0_3_3 % 185.90/126.97 | % 185.90/126.97 | From (1809) and (296) follows: % 185.90/126.97 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.90/126.97 | (288) all_181_0_102 = 0 % 185.90/126.97 | % 185.90/126.97 | Equations (288) can reduce 258 to: % 185.90/126.97 | (173) $false % 185.90/126.97 | % 185.90/126.97 |-The branch is then unsatisfiable % 185.90/126.97 |-Branch two: % 185.90/126.97 | (13195) all_418_0_1529 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.90/126.97 | % 185.90/126.97 | Applying alpha-rule on (13195) yields: % 185.90/126.97 | (13189) all_418_0_1529 = 0 % 185.90/126.97 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.90/126.97 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.90/126.97 | % 185.90/126.97 | Instantiating (1816) with all_464_0_1552 yields: % 185.90/126.97 | (13338) (all_464_0_1552 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1552 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.90/126.97 | % 185.90/126.97 +-Applying beta-rule and splitting (13326), into two cases. % 185.90/126.97 |-Branch one: % 185.90/126.97 | (13339) all_456_0_1551 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.90/126.97 | % 185.90/126.97 | Applying alpha-rule on (13339) yields: % 185.90/126.97 | (13340) all_456_0_1551 = 0 % 185.90/126.97 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.90/126.97 | (525) all_226_1_115 = all_0_6_6 % 185.90/126.97 | % 185.90/126.97 | From (525) and (286) follows: % 185.90/126.97 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.90/126.97 | % 185.90/126.97 +-Applying beta-rule and splitting (13338), into two cases. % 185.90/126.97 |-Branch one: % 185.90/126.97 | (13344) all_464_0_1552 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.90/126.97 | % 185.90/126.97 | Applying alpha-rule on (13344) yields: % 185.90/126.97 | (13345) all_464_0_1552 = 0 % 185.90/126.97 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.90/126.97 | (1833) all_205_2_109 = all_0_6_6 % 185.90/126.97 | % 185.90/126.97 | From (1833) and (275) follows: % 185.90/126.97 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.90/126.97 | (2957) all_226_0_114 = 0 % 185.90/126.97 | % 185.90/126.97 | Equations (2957) can reduce 285 to: % 185.90/126.97 | (173) $false % 185.90/126.97 | % 185.90/126.97 |-The branch is then unsatisfiable % 185.90/126.97 |-Branch two: % 185.90/126.97 | (13351) all_464_0_1552 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.97 | % 185.90/126.97 | Applying alpha-rule on (13351) yields: % 185.90/126.97 | (13345) all_464_0_1552 = 0 % 185.90/126.97 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.90/126.97 | (1840) all_205_2_109 = all_0_9_9 % 185.90/126.97 | % 185.90/126.97 | From (1840) and (309) follows: % 185.90/126.97 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.90/126.97 | % 185.90/126.97 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.90/126.97 | (233) all_110_0_83 = 0 % 185.90/126.97 | % 185.90/126.97 | Equations (233) can reduce 209 to: % 185.90/126.97 | (173) $false % 185.90/126.97 | % 185.90/126.97 |-The branch is then unsatisfiable % 185.90/126.97 |-Branch two: % 185.90/126.98 | (13358) all_456_0_1551 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.90/126.98 | % 185.90/126.98 | Applying alpha-rule on (13358) yields: % 185.90/126.98 | (13340) all_456_0_1551 = 0 % 185.90/126.98 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.90/126.98 | % 185.90/126.98 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.90/126.98 | (532) all_226_1_115 = all_0_9_9 % 185.90/126.98 | % 185.90/126.98 | From (532) and (302) follows: % 185.90/126.98 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.90/126.98 | % 185.90/126.98 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.90/126.98 | (233) all_110_0_83 = 0 % 185.90/126.98 | % 185.90/126.98 | Equations (233) can reduce 209 to: % 185.90/126.98 | (173) $false % 185.90/126.98 | % 185.90/126.98 |-The branch is then unsatisfiable % 185.90/126.98 |-Branch two: % 185.90/126.98 | (13226) all_402_0_1527 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.90/126.98 | % 185.90/126.98 | Applying alpha-rule on (13226) yields: % 185.90/126.98 | (13172) all_402_0_1527 = 0 % 185.90/126.98 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.90/126.98 | % 185.90/126.98 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.90/126.98 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.90/126.98 | % 185.90/126.98 | Instantiating (400) with all_445_0_1554 yields: % 185.90/126.98 | (13369) (all_445_0_1554 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_445_0_1554 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.90/126.98 | % 185.90/126.98 +-Applying beta-rule and splitting (13160), into two cases. % 185.90/126.98 |-Branch one: % 185.90/126.98 | (13176) all_410_0_1528 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.90/126.98 | % 185.90/126.98 | Applying alpha-rule on (13176) yields: % 185.90/126.98 | (13177) all_410_0_1528 = 0 % 185.90/126.98 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.90/126.98 | % 185.90/126.98 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.90/126.98 | (501) all_226_1_115 = all_0_3_3 % 185.90/126.98 | % 185.90/126.98 | From (501) and (286) follows: % 185.90/126.98 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 185.90/126.98 | % 185.90/126.98 +-Applying beta-rule and splitting (13165), into two cases. % 185.90/126.98 |-Branch one: % 185.90/126.98 | (13188) all_418_0_1529 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.90/126.98 | % 185.90/126.98 | Applying alpha-rule on (13188) yields: % 185.90/126.98 | (13189) all_418_0_1529 = 0 % 185.90/126.98 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.90/126.98 | % 185.90/126.98 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.90/126.98 | (1809) all_205_2_109 = all_0_3_3 % 185.90/126.98 | % 185.90/126.98 | From (1809) and (275) follows: % 185.90/126.98 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 185.90/126.98 | % 185.90/126.98 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 185.90/126.98 | (2957) all_226_0_114 = 0 % 185.90/126.98 | % 185.90/126.98 | Equations (2957) can reduce 285 to: % 185.90/126.98 | (173) $false % 185.90/126.98 | % 185.90/126.98 |-The branch is then unsatisfiable % 185.90/126.98 |-Branch two: % 185.90/126.98 | (13195) all_418_0_1529 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.90/126.98 | % 185.90/126.98 | Applying alpha-rule on (13195) yields: % 185.90/126.98 | (13189) all_418_0_1529 = 0 % 185.90/126.98 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.90/126.98 | % 185.90/126.98 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.90/126.98 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.90/126.98 | % 185.98/126.98 | Instantiating (1816) with all_464_0_1555 yields: % 185.98/126.98 | (13386) (all_464_0_1555 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_464_0_1555 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.98/126.98 | % 185.98/126.98 +-Applying beta-rule and splitting (13369), into two cases. % 185.98/126.98 |-Branch one: % 185.98/126.98 | (13387) all_445_0_1554 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.98/126.98 | % 185.98/126.98 | Applying alpha-rule on (13387) yields: % 185.98/126.99 | (13388) all_445_0_1554 = 0 % 185.98/126.99 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.98/126.99 | % 185.98/126.99 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.98/126.99 | (417) all_181_1_103 = all_0_6_6 % 185.98/126.99 | % 185.98/126.99 | From (417) and (259) follows: % 185.98/126.99 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.98/126.99 | % 185.98/126.99 +-Applying beta-rule and splitting (13386), into two cases. % 185.98/126.99 |-Branch one: % 185.98/126.99 | (13392) all_464_0_1555 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.98/126.99 | % 185.98/126.99 | Applying alpha-rule on (13392) yields: % 185.98/126.99 | (13393) all_464_0_1555 = 0 % 185.98/126.99 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.98/126.99 | % 185.98/126.99 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.98/126.99 | (1833) all_205_2_109 = all_0_6_6 % 185.98/126.99 | % 185.98/126.99 | From (1833) and (296) follows: % 185.98/126.99 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.98/126.99 | % 185.98/126.99 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.98/126.99 | (288) all_181_0_102 = 0 % 185.98/126.99 | % 185.98/126.99 | Equations (288) can reduce 258 to: % 185.98/126.99 | (173) $false % 185.98/126.99 | % 185.98/126.99 |-The branch is then unsatisfiable % 185.98/126.99 |-Branch two: % 185.98/126.99 | (13399) all_464_0_1555 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.98/126.99 | % 185.98/126.99 | Applying alpha-rule on (13399) yields: % 185.98/126.99 | (13393) all_464_0_1555 = 0 % 185.98/126.99 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.98/126.99 | % 185.98/126.99 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.98/126.99 | (1840) all_205_2_109 = all_0_9_9 % 185.98/126.99 | % 185.98/126.99 | From (1840) and (309) follows: % 185.98/126.99 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.98/126.99 | % 185.98/126.99 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.98/126.99 | (233) all_110_0_83 = 0 % 185.98/126.99 | % 185.98/126.99 | Equations (233) can reduce 209 to: % 185.98/126.99 | (173) $false % 185.98/126.99 | % 185.98/126.99 |-The branch is then unsatisfiable % 185.98/126.99 |-Branch two: % 185.98/126.99 | (13406) all_445_0_1554 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.98/126.99 | % 185.98/126.99 | Applying alpha-rule on (13406) yields: % 185.98/126.99 | (13388) all_445_0_1554 = 0 % 185.98/126.99 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.98/126.99 | % 185.98/126.99 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.98/126.99 | (424) all_181_1_103 = all_0_9_9 % 185.98/126.99 | % 185.98/126.99 | From (424) and (269) follows: % 185.98/126.99 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.98/126.99 | % 185.98/126.99 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.98/126.99 | (233) all_110_0_83 = 0 % 185.98/126.99 | % 185.98/126.99 | Equations (233) can reduce 209 to: % 185.98/126.99 | (173) $false % 185.98/126.99 | % 185.98/126.99 |-The branch is then unsatisfiable % 185.98/126.99 |-Branch two: % 185.98/126.99 | (13183) all_410_0_1528 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.98/126.99 | % 185.98/126.99 | Applying alpha-rule on (13183) yields: % 185.98/126.99 | (13177) all_410_0_1528 = 0 % 185.98/126.99 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.98/126.99 | % 185.98/126.99 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.98/126.99 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.98/126.99 | % 185.98/126.99 | Instantiating (508) with all_453_0_1557 yields: % 185.98/126.99 | (13417) (all_453_0_1557 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_453_0_1557 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.98/126.99 | % 185.98/126.99 +-Applying beta-rule and splitting (13369), into two cases. % 185.98/126.99 |-Branch one: % 185.98/126.99 | (13387) all_445_0_1554 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.98/126.99 | % 185.98/126.99 | Applying alpha-rule on (13387) yields: % 185.98/126.99 | (13388) all_445_0_1554 = 0 % 185.98/126.99 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.98/126.99 | % 185.98/126.99 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.98/126.99 | (417) all_181_1_103 = all_0_6_6 % 185.98/126.99 | % 185.98/126.99 | From (417) and (259) follows: % 185.98/126.99 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.98/126.99 | % 185.98/126.99 +-Applying beta-rule and splitting (13417), into two cases. % 185.98/126.99 |-Branch one: % 185.98/126.99 | (13423) all_453_0_1557 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.98/126.99 | % 185.98/126.99 | Applying alpha-rule on (13423) yields: % 185.98/126.99 | (13424) all_453_0_1557 = 0 % 185.98/127.00 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.98/127.00 | (525) all_226_1_115 = all_0_6_6 % 185.98/127.00 | % 185.98/127.00 | From (525) and (287) follows: % 185.98/127.00 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.98/127.00 | (288) all_181_0_102 = 0 % 185.98/127.00 | % 185.98/127.00 | Equations (288) can reduce 258 to: % 185.98/127.00 | (173) $false % 185.98/127.00 | % 185.98/127.00 |-The branch is then unsatisfiable % 185.98/127.00 |-Branch two: % 185.98/127.00 | (13430) all_453_0_1557 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.00 | % 185.98/127.00 | Applying alpha-rule on (13430) yields: % 185.98/127.00 | (13424) all_453_0_1557 = 0 % 185.98/127.00 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.98/127.00 | (532) all_226_1_115 = all_0_9_9 % 185.98/127.00 | % 185.98/127.00 | From (532) and (302) follows: % 185.98/127.00 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.98/127.00 | (233) all_110_0_83 = 0 % 185.98/127.00 | % 185.98/127.00 | Equations (233) can reduce 209 to: % 185.98/127.00 | (173) $false % 185.98/127.00 | % 185.98/127.00 |-The branch is then unsatisfiable % 185.98/127.00 |-Branch two: % 185.98/127.00 | (13406) all_445_0_1554 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.98/127.00 | % 185.98/127.00 | Applying alpha-rule on (13406) yields: % 185.98/127.00 | (13388) all_445_0_1554 = 0 % 185.98/127.00 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.98/127.00 | (424) all_181_1_103 = all_0_9_9 % 185.98/127.00 | % 185.98/127.00 | From (424) and (269) follows: % 185.98/127.00 | (461) mem(all_0_9_9, all_74_1_72) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (58) with all_0_9_9, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_9_9, all_74_1_72) = all_110_0_83, mem(all_0_9_9, all_74_1_72) = 0, yields: % 185.98/127.00 | (233) all_110_0_83 = 0 % 185.98/127.00 | % 185.98/127.00 | Equations (233) can reduce 209 to: % 185.98/127.00 | (173) $false % 185.98/127.00 | % 185.98/127.00 |-The branch is then unsatisfiable % 185.98/127.00 |-Branch two: % 185.98/127.00 | (11973) all_367_0_1384 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 185.98/127.00 | % 185.98/127.00 | Applying alpha-rule on (11973) yields: % 185.98/127.00 | (11871) all_367_0_1384 = 0 % 185.98/127.00 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 185.98/127.00 | (1890) all_205_2_109 = all_0_5_5 % 185.98/127.00 | % 185.98/127.00 | From (1890) and (303) follows: % 185.98/127.00 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 185.98/127.00 | (261) all_135_0_89 = 0 % 185.98/127.00 | % 185.98/127.00 | Equations (261) can reduce 230 to: % 185.98/127.00 | (173) $false % 185.98/127.00 | % 185.98/127.00 |-The branch is then unsatisfiable % 185.98/127.00 |-Branch two: % 185.98/127.00 | (11865) all_359_0_1383 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 185.98/127.00 | % 185.98/127.00 | Applying alpha-rule on (11865) yields: % 185.98/127.00 | (11763) all_359_0_1383 = 0 % 185.98/127.00 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 185.98/127.00 | (582) all_226_1_115 = all_0_5_5 % 185.98/127.00 | % 185.98/127.00 | From (582) and (295) follows: % 185.98/127.00 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 185.98/127.00 | (261) all_135_0_89 = 0 % 185.98/127.00 | % 185.98/127.00 | Equations (261) can reduce 230 to: % 185.98/127.00 | (173) $false % 185.98/127.00 | % 185.98/127.00 |-The branch is then unsatisfiable % 185.98/127.00 |-Branch two: % 185.98/127.00 | (11980) all_351_0_1382 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 185.98/127.00 | % 185.98/127.00 | Applying alpha-rule on (11980) yields: % 185.98/127.00 | (11758) all_351_0_1382 = 0 % 185.98/127.00 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 185.98/127.00 | (474) all_181_1_103 = all_0_5_5 % 185.98/127.00 | % 185.98/127.00 | From (474) and (260) follows: % 185.98/127.00 | (727) mem(all_0_5_5, all_99_1_80) = 0 % 185.98/127.00 | % 185.98/127.00 | Instantiating formula (58) with all_0_5_5, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_5_5, all_99_1_80) = all_135_0_89, mem(all_0_5_5, all_99_1_80) = 0, yields: % 185.98/127.00 | (261) all_135_0_89 = 0 % 185.98/127.00 | % 185.98/127.00 | Equations (261) can reduce 230 to: % 185.98/127.00 | (173) $false % 185.98/127.00 | % 185.98/127.00 |-The branch is then unsatisfiable % 185.98/127.00 |-Branch two: % 185.98/127.00 | (13465) all_321_0_1378 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 185.98/127.00 | % 185.98/127.01 | Applying alpha-rule on (13465) yields: % 185.98/127.01 | (11743) all_321_0_1378 = 0 % 185.98/127.01 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 185.98/127.01 | % 185.98/127.01 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 185.98/127.01 | (2955) all_205_2_109 = all_0_8_8 % 185.98/127.01 | % 185.98/127.01 | From (2955) and (315) follows: % 185.98/127.01 | (13469) mem(all_0_8_8, all_57_1_65) = 0 % 185.98/127.01 | % 185.98/127.01 | Instantiating formula (58) with all_0_8_8, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_8_8, all_57_1_65) = all_85_0_75, mem(all_0_8_8, all_57_1_65) = 0, yields: % 185.98/127.01 | (212) all_85_0_75 = 0 % 185.98/127.01 | % 185.98/127.01 | Equations (212) can reduce 181 to: % 185.98/127.01 | (173) $false % 185.98/127.01 | % 185.98/127.01 |-The branch is then unsatisfiable % 185.98/127.01 |-Branch two: % 185.98/127.01 | (13472) all_314_0_1377 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 185.98/127.01 | % 185.98/127.01 | Applying alpha-rule on (13472) yields: % 185.98/127.01 | (11738) all_314_0_1377 = 0 % 185.98/127.01 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 185.98/127.01 | % 185.98/127.01 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 185.98/127.01 | (1647) all_226_1_115 = all_0_8_8 % 185.98/127.01 | % 185.98/127.01 | From (1647) and (308) follows: % 185.98/127.01 | (13469) mem(all_0_8_8, all_57_1_65) = 0 % 185.98/127.01 | % 185.98/127.01 | Instantiating formula (58) with all_0_8_8, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_8_8, all_57_1_65) = all_85_0_75, mem(all_0_8_8, all_57_1_65) = 0, yields: % 185.98/127.01 | (212) all_85_0_75 = 0 % 185.98/127.01 | % 185.98/127.01 | Equations (212) can reduce 181 to: % 185.98/127.01 | (173) $false % 185.98/127.01 | % 185.98/127.01 |-The branch is then unsatisfiable % 185.98/127.01 |-Branch two: % 185.98/127.01 | (13479) all_295_0_1374 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 185.98/127.01 | % 185.98/127.01 | Applying alpha-rule on (13479) yields: % 185.98/127.01 | (11733) all_295_0_1374 = 0 % 185.98/127.01 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 185.98/127.01 | % 185.98/127.01 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 185.98/127.01 | (2962) all_181_1_103 = all_0_8_8 % 185.98/127.01 | % 185.98/127.01 | From (2962) and (297) follows: % 185.98/127.01 | (13469) mem(all_0_8_8, all_57_1_65) = 0 % 185.98/127.01 | % 185.98/127.01 | Instantiating formula (58) with all_0_8_8, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_8_8, all_57_1_65) = all_85_0_75, mem(all_0_8_8, all_57_1_65) = 0, yields: % 185.98/127.01 | (212) all_85_0_75 = 0 % 185.98/127.01 | % 185.98/127.01 | Equations (212) can reduce 181 to: % 185.98/127.01 | (173) $false % 185.98/127.01 | % 185.98/127.01 |-The branch is then unsatisfiable % 185.98/127.01 |-Branch two: % 185.98/127.01 | (13486) all_294_0_1373 = 0 & mem(all_110_1_84, all_0_4_4) = 0 % 185.98/127.01 | % 185.98/127.01 | Applying alpha-rule on (13486) yields: % 185.98/127.01 | (11728) all_294_0_1373 = 0 % 185.98/127.01 | (4288) mem(all_110_1_84, all_0_4_4) = 0 % 185.98/127.01 | % 185.98/127.01 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_110_1_84 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_110_1_84, all_0_4_4) = 0, yields: % 185.98/127.01 | (4289) all_110_1_84 = all_0_5_5 % 185.98/127.01 | % 185.98/127.01 | From (4289) and (210) follows: % 185.98/127.01 | (4290) mem(all_0_5_5, all_74_1_72) = all_110_0_83 % 185.98/127.01 | % 185.98/127.01 +-Applying beta-rule and splitting (11714), into two cases. % 185.98/127.01 |-Branch one: % 185.98/127.01 | (11732) all_295_0_1374 = 0 & mem(all_181_1_103, all_0_1_1) = 0 % 185.98/127.01 | % 185.98/127.01 | Applying alpha-rule on (11732) yields: % 185.98/127.01 | (11733) all_295_0_1374 = 0 % 185.98/127.01 | (338) mem(all_181_1_103, all_0_1_1) = 0 % 185.98/127.01 | % 185.98/127.01 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_181_1_103 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_181_1_103, all_0_1_1) = 0, yields: % 185.98/127.01 | (339) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_4_4) = 0)) % 185.98/127.01 | % 185.98/127.01 | Instantiating (339) with all_354_0_1571 yields: % 185.98/127.02 | (13495) (all_354_0_1571 = 0 & mem(all_181_1_103, all_0_2_2) = 0) | (all_354_0_1571 = 0 & mem(all_181_1_103, all_0_4_4) = 0) % 185.98/127.02 | % 185.98/127.02 +-Applying beta-rule and splitting (11719), into two cases. % 185.98/127.02 |-Branch one: % 185.98/127.02 | (11737) all_314_0_1377 = 0 & mem(all_226_1_115, all_0_1_1) = 0 % 185.98/127.02 | % 185.98/127.02 | Applying alpha-rule on (11737) yields: % 185.98/127.02 | (11738) all_314_0_1377 = 0 % 185.98/127.02 | (343) mem(all_226_1_115, all_0_1_1) = 0 % 185.98/127.02 | % 185.98/127.02 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_226_1_115 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_226_1_115, all_0_1_1) = 0, yields: % 185.98/127.02 | (344) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_4_4) = 0)) % 185.98/127.02 | % 185.98/127.02 | Instantiating (344) with all_362_0_1572 yields: % 185.98/127.02 | (13500) (all_362_0_1572 = 0 & mem(all_226_1_115, all_0_2_2) = 0) | (all_362_0_1572 = 0 & mem(all_226_1_115, all_0_4_4) = 0) % 185.98/127.02 | % 185.98/127.02 +-Applying beta-rule and splitting (11721), into two cases. % 185.98/127.02 |-Branch one: % 185.98/127.02 | (11742) all_321_0_1378 = 0 & mem(all_205_2_109, all_0_1_1) = 0 % 185.98/127.02 | % 185.98/127.02 | Applying alpha-rule on (11742) yields: % 185.98/127.02 | (11743) all_321_0_1378 = 0 % 185.98/127.02 | (1651) mem(all_205_2_109, all_0_1_1) = 0 % 185.98/127.02 | % 185.98/127.02 | Instantiating formula (69) with all_0_1_1, all_0_2_2, all_0_4_4, all_205_2_109 and discharging atoms u(all_0_4_4, all_0_2_2) = all_0_1_1, mem(all_205_2_109, all_0_1_1) = 0, yields: % 185.98/127.02 | (1652) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_4_4) = 0)) % 185.98/127.02 | % 185.98/127.02 | Instantiating (1652) with all_370_0_1573 yields: % 185.98/127.02 | (13505) (all_370_0_1573 = 0 & mem(all_205_2_109, all_0_2_2) = 0) | (all_370_0_1573 = 0 & mem(all_205_2_109, all_0_4_4) = 0) % 185.98/127.02 | % 185.98/127.02 +-Applying beta-rule and splitting (11726), into two cases. % 185.98/127.02 |-Branch one: % 185.98/127.02 | (11747) all_335_0_1380 = 0 & mem(all_135_1_90, all_0_2_2) = 0 % 185.98/127.02 | % 185.98/127.02 | Applying alpha-rule on (11747) yields: % 185.98/127.02 | (11748) all_335_0_1380 = 0 % 185.98/127.02 | (353) mem(all_135_1_90, all_0_2_2) = 0 % 185.98/127.02 | % 185.98/127.02 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_135_1_90, all_0_2_2) = 0, yields: % 185.98/127.02 | (354) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_3_3) = 0)) % 185.98/127.02 | % 185.98/127.02 | Instantiating (354) with all_386_0_1575 yields: % 185.98/127.02 | (13510) (all_386_0_1575 = 0 & mem(all_135_1_90, all_72_0_70) = 0) | (all_386_0_1575 = 0 & mem(all_135_1_90, all_0_3_3) = 0) % 185.98/127.02 | % 185.98/127.02 +-Applying beta-rule and splitting (13495), into two cases. % 185.98/127.02 |-Branch one: % 185.98/127.02 | (13511) all_354_0_1571 = 0 & mem(all_181_1_103, all_0_2_2) = 0 % 185.98/127.02 | % 185.98/127.02 | Applying alpha-rule on (13511) yields: % 185.98/127.02 | (13512) all_354_0_1571 = 0 % 185.98/127.02 | (370) mem(all_181_1_103, all_0_2_2) = 0 % 185.98/127.02 | % 185.98/127.02 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_181_1_103, all_0_2_2) = 0, yields: % 185.98/127.02 | (371) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_3_3) = 0)) % 185.98/127.02 | % 185.98/127.02 | Instantiating (371) with all_394_0_1576 yields: % 185.98/127.02 | (13515) (all_394_0_1576 = 0 & mem(all_181_1_103, all_72_0_70) = 0) | (all_394_0_1576 = 0 & mem(all_181_1_103, all_0_3_3) = 0) % 185.98/127.02 | % 185.98/127.02 +-Applying beta-rule and splitting (13500), into two cases. % 185.98/127.02 |-Branch one: % 185.98/127.02 | (13516) all_362_0_1572 = 0 & mem(all_226_1_115, all_0_2_2) = 0 % 185.98/127.02 | % 185.98/127.02 | Applying alpha-rule on (13516) yields: % 185.98/127.02 | (13517) all_362_0_1572 = 0 % 185.98/127.02 | (478) mem(all_226_1_115, all_0_2_2) = 0 % 185.98/127.02 | % 185.98/127.02 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_226_1_115, all_0_2_2) = 0, yields: % 185.98/127.02 | (479) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_3_3) = 0)) % 185.98/127.02 | % 185.98/127.02 | Instantiating (479) with all_402_0_1577 yields: % 185.98/127.02 | (13520) (all_402_0_1577 = 0 & mem(all_226_1_115, all_72_0_70) = 0) | (all_402_0_1577 = 0 & mem(all_226_1_115, all_0_3_3) = 0) % 185.98/127.02 | % 185.98/127.02 +-Applying beta-rule and splitting (13505), into two cases. % 185.98/127.02 |-Branch one: % 185.98/127.02 | (13521) all_370_0_1573 = 0 & mem(all_205_2_109, all_0_2_2) = 0 % 185.98/127.02 | % 185.98/127.02 | Applying alpha-rule on (13521) yields: % 185.98/127.02 | (13522) all_370_0_1573 = 0 % 185.98/127.02 | (1786) mem(all_205_2_109, all_0_2_2) = 0 % 185.98/127.02 | % 185.98/127.02 | Instantiating formula (69) with all_0_2_2, all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms u(all_0_3_3, all_72_0_70) = all_0_2_2, mem(all_205_2_109, all_0_2_2) = 0, yields: % 185.98/127.02 | (1787) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_3_3) = 0)) % 185.98/127.02 | % 185.98/127.02 | Instantiating (1787) with all_410_0_1578 yields: % 185.98/127.03 | (13525) (all_410_0_1578 = 0 & mem(all_205_2_109, all_72_0_70) = 0) | (all_410_0_1578 = 0 & mem(all_205_2_109, all_0_3_3) = 0) % 185.98/127.03 | % 185.98/127.03 +-Applying beta-rule and splitting (13510), into two cases. % 185.98/127.03 |-Branch one: % 185.98/127.03 | (13526) all_386_0_1575 = 0 & mem(all_135_1_90, all_72_0_70) = 0 % 185.98/127.03 | % 185.98/127.03 | Applying alpha-rule on (13526) yields: % 185.98/127.03 | (13527) all_386_0_1575 = 0 % 185.98/127.03 | (375) mem(all_135_1_90, all_72_0_70) = 0 % 185.98/127.03 | % 185.98/127.03 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_135_1_90 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_135_1_90, all_72_0_70) = 0, yields: % 185.98/127.03 | (376) all_135_1_90 = all_0_3_3 % 185.98/127.03 | % 185.98/127.03 | From (376) and (231) follows: % 185.98/127.03 | (1013) mem(all_0_3_3, all_99_1_80) = all_135_0_89 % 185.98/127.03 | % 185.98/127.03 +-Applying beta-rule and splitting (13515), into two cases. % 185.98/127.03 |-Branch one: % 185.98/127.03 | (13531) all_394_0_1576 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.98/127.03 | % 185.98/127.03 | Applying alpha-rule on (13531) yields: % 185.98/127.03 | (13532) all_394_0_1576 = 0 % 185.98/127.03 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.98/127.03 | % 185.98/127.03 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.98/127.03 | (393) all_181_1_103 = all_0_3_3 % 185.98/127.03 | % 185.98/127.03 | From (393) and (260) follows: % 185.98/127.03 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.98/127.03 | % 185.98/127.03 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.98/127.03 | (261) all_135_0_89 = 0 % 185.98/127.03 | % 185.98/127.03 | Equations (261) can reduce 230 to: % 185.98/127.03 | (173) $false % 185.98/127.03 | % 185.98/127.03 |-The branch is then unsatisfiable % 185.98/127.03 |-Branch two: % 185.98/127.03 | (13538) all_394_0_1576 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 185.98/127.03 | % 185.98/127.03 | Applying alpha-rule on (13538) yields: % 185.98/127.03 | (13532) all_394_0_1576 = 0 % 185.98/127.03 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 185.98/127.03 | % 185.98/127.03 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 185.98/127.03 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 185.98/127.03 | % 185.98/127.03 | Instantiating (400) with all_437_0_1580 yields: % 185.98/127.03 | (13542) (all_437_0_1580 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_437_0_1580 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 185.98/127.03 | % 185.98/127.03 +-Applying beta-rule and splitting (13520), into two cases. % 185.98/127.03 |-Branch one: % 185.98/127.03 | (13543) all_402_0_1577 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.98/127.03 | % 185.98/127.03 | Applying alpha-rule on (13543) yields: % 185.98/127.03 | (13544) all_402_0_1577 = 0 % 185.98/127.03 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.98/127.03 | % 185.98/127.03 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.98/127.03 | (501) all_226_1_115 = all_0_3_3 % 185.98/127.03 | % 185.98/127.03 | From (501) and (295) follows: % 185.98/127.03 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.98/127.03 | % 185.98/127.03 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.98/127.03 | (261) all_135_0_89 = 0 % 185.98/127.03 | % 185.98/127.03 | Equations (261) can reduce 230 to: % 185.98/127.03 | (173) $false % 185.98/127.03 | % 185.98/127.03 |-The branch is then unsatisfiable % 185.98/127.03 |-Branch two: % 185.98/127.03 | (13550) all_402_0_1577 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.98/127.03 | % 185.98/127.03 | Applying alpha-rule on (13550) yields: % 185.98/127.03 | (13544) all_402_0_1577 = 0 % 185.98/127.03 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.98/127.03 | % 185.98/127.03 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.98/127.03 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.98/127.03 | % 185.98/127.03 | Instantiating (508) with all_445_0_1581 yields: % 185.98/127.03 | (13554) (all_445_0_1581 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1581 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.98/127.03 | % 185.98/127.03 +-Applying beta-rule and splitting (13525), into two cases. % 185.98/127.03 |-Branch one: % 185.98/127.03 | (13555) all_410_0_1578 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.98/127.03 | % 185.98/127.03 | Applying alpha-rule on (13555) yields: % 185.98/127.03 | (13556) all_410_0_1578 = 0 % 185.98/127.03 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.98/127.03 | % 185.98/127.03 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.98/127.03 | (1809) all_205_2_109 = all_0_3_3 % 185.98/127.03 | % 185.98/127.03 | From (1809) and (303) follows: % 185.98/127.03 | (1030) mem(all_0_3_3, all_99_1_80) = 0 % 185.98/127.03 | % 185.98/127.03 | Instantiating formula (58) with all_0_3_3, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_3_3, all_99_1_80) = all_135_0_89, mem(all_0_3_3, all_99_1_80) = 0, yields: % 185.98/127.03 | (261) all_135_0_89 = 0 % 185.98/127.03 | % 185.98/127.03 | Equations (261) can reduce 230 to: % 185.98/127.03 | (173) $false % 185.98/127.03 | % 185.98/127.03 |-The branch is then unsatisfiable % 185.98/127.03 |-Branch two: % 185.98/127.03 | (13562) all_410_0_1578 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.98/127.03 | % 185.98/127.04 | Applying alpha-rule on (13562) yields: % 185.98/127.04 | (13556) all_410_0_1578 = 0 % 185.98/127.04 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.98/127.04 | % 185.98/127.04 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.98/127.04 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.98/127.04 | % 185.98/127.04 | Instantiating (1816) with all_453_0_1582 yields: % 185.98/127.04 | (13566) (all_453_0_1582 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1582 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.98/127.04 | % 185.98/127.04 +-Applying beta-rule and splitting (13542), into two cases. % 185.98/127.04 |-Branch one: % 185.98/127.04 | (13567) all_437_0_1580 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 185.98/127.04 | % 185.98/127.04 | Applying alpha-rule on (13567) yields: % 185.98/127.04 | (13568) all_437_0_1580 = 0 % 185.98/127.04 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 185.98/127.04 | % 185.98/127.04 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 185.98/127.04 | (417) all_181_1_103 = all_0_6_6 % 185.98/127.04 | % 185.98/127.04 | From (417) and (259) follows: % 185.98/127.04 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 185.98/127.04 | % 185.98/127.04 +-Applying beta-rule and splitting (13554), into two cases. % 185.98/127.04 |-Branch one: % 185.98/127.04 | (13572) all_445_0_1581 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.98/127.04 | % 185.98/127.04 | Applying alpha-rule on (13572) yields: % 185.98/127.04 | (13573) all_445_0_1581 = 0 % 185.98/127.04 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.98/127.04 | % 185.98/127.04 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.98/127.04 | (525) all_226_1_115 = all_0_6_6 % 185.98/127.04 | % 185.98/127.04 | From (525) and (287) follows: % 185.98/127.04 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.98/127.04 | % 185.98/127.04 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.98/127.04 | (288) all_181_0_102 = 0 % 185.98/127.04 | % 185.98/127.04 | Equations (288) can reduce 258 to: % 185.98/127.04 | (173) $false % 185.98/127.04 | % 185.98/127.04 |-The branch is then unsatisfiable % 185.98/127.04 |-Branch two: % 185.98/127.04 | (13579) all_445_0_1581 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.04 | % 185.98/127.04 | Applying alpha-rule on (13579) yields: % 185.98/127.04 | (13573) all_445_0_1581 = 0 % 185.98/127.04 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.04 | % 185.98/127.04 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.98/127.04 | (532) all_226_1_115 = all_0_9_9 % 185.98/127.04 | % 185.98/127.04 | From (532) and (286) follows: % 185.98/127.04 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.98/127.04 | % 185.98/127.04 +-Applying beta-rule and splitting (13566), into two cases. % 185.98/127.04 |-Branch one: % 185.98/127.04 | (13584) all_453_0_1582 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.98/127.04 | % 185.98/127.04 | Applying alpha-rule on (13584) yields: % 185.98/127.04 | (13585) all_453_0_1582 = 0 % 185.98/127.04 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.98/127.04 | % 185.98/127.04 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.98/127.04 | (1833) all_205_2_109 = all_0_6_6 % 185.98/127.04 | % 185.98/127.04 | From (1833) and (296) follows: % 185.98/127.04 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 185.98/127.04 | % 185.98/127.04 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 185.98/127.04 | (288) all_181_0_102 = 0 % 185.98/127.04 | % 185.98/127.04 | Equations (288) can reduce 258 to: % 185.98/127.04 | (173) $false % 185.98/127.04 | % 185.98/127.04 |-The branch is then unsatisfiable % 185.98/127.04 |-Branch two: % 185.98/127.04 | (13591) all_453_0_1582 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.98/127.04 | % 185.98/127.04 | Applying alpha-rule on (13591) yields: % 185.98/127.04 | (13585) all_453_0_1582 = 0 % 185.98/127.04 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.98/127.04 | % 185.98/127.04 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.98/127.04 | (1840) all_205_2_109 = all_0_9_9 % 185.98/127.04 | % 185.98/127.04 | From (1840) and (275) follows: % 185.98/127.04 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.98/127.04 | % 185.98/127.04 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.98/127.04 | (2957) all_226_0_114 = 0 % 185.98/127.04 | % 185.98/127.04 | Equations (2957) can reduce 285 to: % 185.98/127.04 | (173) $false % 185.98/127.04 | % 185.98/127.04 |-The branch is then unsatisfiable % 185.98/127.04 |-Branch two: % 185.98/127.04 | (13598) all_437_0_1580 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 185.98/127.04 | % 185.98/127.04 | Applying alpha-rule on (13598) yields: % 185.98/127.05 | (13568) all_437_0_1580 = 0 % 185.98/127.05 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 185.98/127.05 | % 185.98/127.05 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 185.98/127.05 | (424) all_181_1_103 = all_0_9_9 % 185.98/127.05 | % 185.98/127.05 | From (424) and (259) follows: % 185.98/127.05 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 185.98/127.05 | % 185.98/127.05 +-Applying beta-rule and splitting (13554), into two cases. % 185.98/127.05 |-Branch one: % 185.98/127.05 | (13572) all_445_0_1581 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.98/127.05 | % 185.98/127.05 | Applying alpha-rule on (13572) yields: % 185.98/127.05 | (13573) all_445_0_1581 = 0 % 185.98/127.05 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.98/127.05 | % 185.98/127.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.98/127.05 | (525) all_226_1_115 = all_0_6_6 % 185.98/127.05 | % 185.98/127.05 | From (525) and (286) follows: % 185.98/127.05 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.98/127.05 | % 185.98/127.05 +-Applying beta-rule and splitting (13566), into two cases. % 185.98/127.05 |-Branch one: % 185.98/127.05 | (13584) all_453_0_1582 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.98/127.05 | % 185.98/127.05 | Applying alpha-rule on (13584) yields: % 185.98/127.05 | (13585) all_453_0_1582 = 0 % 185.98/127.05 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.98/127.05 | % 185.98/127.05 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.98/127.05 | (1833) all_205_2_109 = all_0_6_6 % 185.98/127.05 | % 185.98/127.05 | From (1833) and (275) follows: % 185.98/127.05 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.98/127.05 | % 185.98/127.05 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.98/127.05 | (2957) all_226_0_114 = 0 % 185.98/127.05 | % 185.98/127.05 | Equations (2957) can reduce 285 to: % 185.98/127.05 | (173) $false % 185.98/127.05 | % 185.98/127.05 |-The branch is then unsatisfiable % 185.98/127.05 |-Branch two: % 185.98/127.05 | (13591) all_453_0_1582 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.98/127.05 | % 185.98/127.05 | Applying alpha-rule on (13591) yields: % 185.98/127.05 | (13585) all_453_0_1582 = 0 % 185.98/127.05 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.98/127.05 | % 185.98/127.05 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.98/127.05 | (1840) all_205_2_109 = all_0_9_9 % 185.98/127.05 | % 185.98/127.05 | From (1840) and (296) follows: % 185.98/127.05 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.98/127.05 | % 185.98/127.05 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.98/127.05 | (288) all_181_0_102 = 0 % 185.98/127.05 | % 185.98/127.05 | Equations (288) can reduce 258 to: % 185.98/127.05 | (173) $false % 185.98/127.05 | % 185.98/127.05 |-The branch is then unsatisfiable % 185.98/127.05 |-Branch two: % 185.98/127.05 | (13579) all_445_0_1581 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.05 | % 185.98/127.05 | Applying alpha-rule on (13579) yields: % 185.98/127.05 | (13573) all_445_0_1581 = 0 % 185.98/127.05 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.05 | % 185.98/127.05 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.98/127.05 | (532) all_226_1_115 = all_0_9_9 % 185.98/127.05 | % 185.98/127.05 | From (532) and (287) follows: % 185.98/127.05 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 185.98/127.05 | % 185.98/127.05 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 185.98/127.05 | (288) all_181_0_102 = 0 % 185.98/127.05 | % 185.98/127.05 | Equations (288) can reduce 258 to: % 185.98/127.05 | (173) $false % 185.98/127.05 | % 185.98/127.05 |-The branch is then unsatisfiable % 185.98/127.05 |-Branch two: % 185.98/127.05 | (13629) all_386_0_1575 = 0 & mem(all_135_1_90, all_0_3_3) = 0 % 185.98/127.05 | % 185.98/127.05 | Applying alpha-rule on (13629) yields: % 185.98/127.05 | (13527) all_386_0_1575 = 0 % 185.98/127.05 | (382) mem(all_135_1_90, all_0_3_3) = 0 % 185.98/127.05 | % 185.98/127.05 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_135_1_90, all_0_3_3) = 0, yields: % 185.98/127.05 | (383) ? [v0] : ((v0 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (v0 = 0 & mem(all_135_1_90, all_0_6_6) = 0)) % 185.98/127.05 | % 185.98/127.05 | Instantiating (383) with all_426_0_1584 yields: % 185.98/127.06 | (13633) (all_426_0_1584 = 0 & mem(all_135_1_90, all_0_5_5) = 0) | (all_426_0_1584 = 0 & mem(all_135_1_90, all_0_6_6) = 0) % 185.98/127.06 | % 185.98/127.06 +-Applying beta-rule and splitting (13515), into two cases. % 185.98/127.06 |-Branch one: % 185.98/127.06 | (13531) all_394_0_1576 = 0 & mem(all_181_1_103, all_72_0_70) = 0 % 185.98/127.06 | % 185.98/127.06 | Applying alpha-rule on (13531) yields: % 185.98/127.06 | (13532) all_394_0_1576 = 0 % 185.98/127.06 | (392) mem(all_181_1_103, all_72_0_70) = 0 % 185.98/127.06 | % 185.98/127.06 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_181_1_103 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_181_1_103, all_72_0_70) = 0, yields: % 185.98/127.06 | (393) all_181_1_103 = all_0_3_3 % 185.98/127.06 | % 185.98/127.06 | From (393) and (259) follows: % 185.98/127.06 | (1517) mem(all_0_3_3, all_129_1_88) = all_181_0_102 % 185.98/127.06 | % 185.98/127.06 +-Applying beta-rule and splitting (13520), into two cases. % 185.98/127.06 |-Branch one: % 185.98/127.06 | (13543) all_402_0_1577 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 185.98/127.06 | % 185.98/127.06 | Applying alpha-rule on (13543) yields: % 185.98/127.06 | (13544) all_402_0_1577 = 0 % 185.98/127.06 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 185.98/127.06 | % 185.98/127.06 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 185.98/127.06 | (501) all_226_1_115 = all_0_3_3 % 185.98/127.06 | % 185.98/127.06 | From (501) and (287) follows: % 185.98/127.06 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.98/127.06 | % 185.98/127.06 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.98/127.06 | (288) all_181_0_102 = 0 % 185.98/127.06 | % 185.98/127.06 | Equations (288) can reduce 258 to: % 185.98/127.06 | (173) $false % 185.98/127.06 | % 185.98/127.06 |-The branch is then unsatisfiable % 185.98/127.06 |-Branch two: % 185.98/127.06 | (13550) all_402_0_1577 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 185.98/127.06 | % 185.98/127.06 | Applying alpha-rule on (13550) yields: % 185.98/127.06 | (13544) all_402_0_1577 = 0 % 185.98/127.06 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 185.98/127.06 | % 185.98/127.06 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 185.98/127.06 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 185.98/127.06 | % 185.98/127.06 | Instantiating (508) with all_445_0_1585 yields: % 185.98/127.06 | (13650) (all_445_0_1585 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_445_0_1585 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 185.98/127.06 | % 185.98/127.06 +-Applying beta-rule and splitting (13525), into two cases. % 185.98/127.06 |-Branch one: % 185.98/127.06 | (13555) all_410_0_1578 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 185.98/127.06 | % 185.98/127.06 | Applying alpha-rule on (13555) yields: % 185.98/127.06 | (13556) all_410_0_1578 = 0 % 185.98/127.06 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 185.98/127.06 | % 185.98/127.06 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 185.98/127.06 | (1809) all_205_2_109 = all_0_3_3 % 185.98/127.06 | % 185.98/127.06 | From (1809) and (296) follows: % 185.98/127.06 | (1522) mem(all_0_3_3, all_129_1_88) = 0 % 185.98/127.06 | % 185.98/127.06 | Instantiating formula (58) with all_0_3_3, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_3_3, all_129_1_88) = all_181_0_102, mem(all_0_3_3, all_129_1_88) = 0, yields: % 185.98/127.06 | (288) all_181_0_102 = 0 % 185.98/127.06 | % 185.98/127.06 | Equations (288) can reduce 258 to: % 185.98/127.06 | (173) $false % 185.98/127.06 | % 185.98/127.06 |-The branch is then unsatisfiable % 185.98/127.06 |-Branch two: % 185.98/127.06 | (13562) all_410_0_1578 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 185.98/127.06 | % 185.98/127.06 | Applying alpha-rule on (13562) yields: % 185.98/127.06 | (13556) all_410_0_1578 = 0 % 185.98/127.06 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 185.98/127.06 | % 185.98/127.06 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 185.98/127.06 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 185.98/127.06 | % 185.98/127.06 | Instantiating (1816) with all_453_0_1586 yields: % 185.98/127.06 | (13662) (all_453_0_1586 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1586 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 185.98/127.06 | % 185.98/127.06 +-Applying beta-rule and splitting (13633), into two cases. % 185.98/127.06 |-Branch one: % 185.98/127.06 | (13663) all_426_0_1584 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 185.98/127.06 | % 185.98/127.06 | Applying alpha-rule on (13663) yields: % 185.98/127.06 | (13664) all_426_0_1584 = 0 % 185.98/127.06 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 185.98/127.06 | % 185.98/127.06 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 185.98/127.06 | (405) all_135_1_90 = all_0_6_6 % 185.98/127.06 | % 185.98/127.06 | From (405) and (231) follows: % 185.98/127.06 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 185.98/127.06 | % 185.98/127.06 +-Applying beta-rule and splitting (13650), into two cases. % 185.98/127.06 |-Branch one: % 185.98/127.06 | (13668) all_445_0_1585 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.98/127.06 | % 185.98/127.07 | Applying alpha-rule on (13668) yields: % 185.98/127.07 | (13669) all_445_0_1585 = 0 % 185.98/127.07 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.98/127.07 | (525) all_226_1_115 = all_0_6_6 % 185.98/127.07 | % 185.98/127.07 | From (525) and (295) follows: % 185.98/127.07 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.98/127.07 | (261) all_135_0_89 = 0 % 185.98/127.07 | % 185.98/127.07 | Equations (261) can reduce 230 to: % 185.98/127.07 | (173) $false % 185.98/127.07 | % 185.98/127.07 |-The branch is then unsatisfiable % 185.98/127.07 |-Branch two: % 185.98/127.07 | (13675) all_445_0_1585 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.07 | % 185.98/127.07 | Applying alpha-rule on (13675) yields: % 185.98/127.07 | (13669) all_445_0_1585 = 0 % 185.98/127.07 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.98/127.07 | (532) all_226_1_115 = all_0_9_9 % 185.98/127.07 | % 185.98/127.07 | From (532) and (286) follows: % 185.98/127.07 | (3281) mem(all_0_9_9, all_165_1_98) = all_226_0_114 % 185.98/127.07 | % 185.98/127.07 +-Applying beta-rule and splitting (13662), into two cases. % 185.98/127.07 |-Branch one: % 185.98/127.07 | (13680) all_453_0_1586 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.98/127.07 | % 185.98/127.07 | Applying alpha-rule on (13680) yields: % 185.98/127.07 | (13681) all_453_0_1586 = 0 % 185.98/127.07 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.98/127.07 | (1833) all_205_2_109 = all_0_6_6 % 185.98/127.07 | % 185.98/127.07 | From (1833) and (303) follows: % 185.98/127.07 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 185.98/127.07 | (261) all_135_0_89 = 0 % 185.98/127.07 | % 185.98/127.07 | Equations (261) can reduce 230 to: % 185.98/127.07 | (173) $false % 185.98/127.07 | % 185.98/127.07 |-The branch is then unsatisfiable % 185.98/127.07 |-Branch two: % 185.98/127.07 | (13687) all_453_0_1586 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.98/127.07 | % 185.98/127.07 | Applying alpha-rule on (13687) yields: % 185.98/127.07 | (13681) all_453_0_1586 = 0 % 185.98/127.07 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.98/127.07 | (1840) all_205_2_109 = all_0_9_9 % 185.98/127.07 | % 185.98/127.07 | From (1840) and (275) follows: % 185.98/127.07 | (3293) mem(all_0_9_9, all_165_1_98) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (58) with all_0_9_9, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_9_9, all_165_1_98) = all_226_0_114, mem(all_0_9_9, all_165_1_98) = 0, yields: % 185.98/127.07 | (2957) all_226_0_114 = 0 % 185.98/127.07 | % 185.98/127.07 | Equations (2957) can reduce 285 to: % 185.98/127.07 | (173) $false % 185.98/127.07 | % 185.98/127.07 |-The branch is then unsatisfiable % 185.98/127.07 |-Branch two: % 185.98/127.07 | (13694) all_426_0_1584 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 185.98/127.07 | % 185.98/127.07 | Applying alpha-rule on (13694) yields: % 185.98/127.07 | (13664) all_426_0_1584 = 0 % 185.98/127.07 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 185.98/127.07 | (412) all_135_1_90 = all_0_9_9 % 185.98/127.07 | % 185.98/127.07 | From (412) and (231) follows: % 185.98/127.07 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 185.98/127.07 | % 185.98/127.07 +-Applying beta-rule and splitting (13650), into two cases. % 185.98/127.07 |-Branch one: % 185.98/127.07 | (13668) all_445_0_1585 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 185.98/127.07 | % 185.98/127.07 | Applying alpha-rule on (13668) yields: % 185.98/127.07 | (13669) all_445_0_1585 = 0 % 185.98/127.07 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 185.98/127.07 | (525) all_226_1_115 = all_0_6_6 % 185.98/127.07 | % 185.98/127.07 | From (525) and (286) follows: % 185.98/127.07 | (3329) mem(all_0_6_6, all_165_1_98) = all_226_0_114 % 185.98/127.07 | % 185.98/127.07 +-Applying beta-rule and splitting (13662), into two cases. % 185.98/127.07 |-Branch one: % 185.98/127.07 | (13680) all_453_0_1586 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 185.98/127.07 | % 185.98/127.07 | Applying alpha-rule on (13680) yields: % 185.98/127.07 | (13681) all_453_0_1586 = 0 % 185.98/127.07 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 185.98/127.07 | % 185.98/127.07 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 185.98/127.08 | (1833) all_205_2_109 = all_0_6_6 % 185.98/127.08 | % 185.98/127.08 | From (1833) and (275) follows: % 185.98/127.08 | (3334) mem(all_0_6_6, all_165_1_98) = 0 % 185.98/127.08 | % 185.98/127.08 | Instantiating formula (58) with all_0_6_6, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_6_6, all_165_1_98) = all_226_0_114, mem(all_0_6_6, all_165_1_98) = 0, yields: % 185.98/127.08 | (2957) all_226_0_114 = 0 % 185.98/127.08 | % 185.98/127.08 | Equations (2957) can reduce 285 to: % 185.98/127.08 | (173) $false % 185.98/127.08 | % 185.98/127.08 |-The branch is then unsatisfiable % 185.98/127.08 |-Branch two: % 185.98/127.08 | (13687) all_453_0_1586 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 185.98/127.08 | % 185.98/127.08 | Applying alpha-rule on (13687) yields: % 185.98/127.08 | (13681) all_453_0_1586 = 0 % 185.98/127.08 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 185.98/127.08 | % 185.98/127.08 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 185.98/127.08 | (1840) all_205_2_109 = all_0_9_9 % 185.98/127.08 | % 185.98/127.08 | From (1840) and (303) follows: % 185.98/127.08 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.98/127.08 | % 185.98/127.08 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.98/127.08 | (261) all_135_0_89 = 0 % 185.98/127.08 | % 185.98/127.08 | Equations (261) can reduce 230 to: % 185.98/127.08 | (173) $false % 185.98/127.08 | % 185.98/127.08 |-The branch is then unsatisfiable % 185.98/127.08 |-Branch two: % 185.98/127.08 | (13675) all_445_0_1585 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.08 | % 185.98/127.08 | Applying alpha-rule on (13675) yields: % 185.98/127.08 | (13669) all_445_0_1585 = 0 % 185.98/127.08 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 185.98/127.08 | % 185.98/127.08 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 185.98/127.08 | (532) all_226_1_115 = all_0_9_9 % 185.98/127.08 | % 185.98/127.08 | From (532) and (295) follows: % 185.98/127.08 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 185.98/127.08 | % 185.98/127.08 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 185.98/127.08 | (261) all_135_0_89 = 0 % 185.98/127.08 | % 185.98/127.08 | Equations (261) can reduce 230 to: % 185.98/127.08 | (173) $false % 185.98/127.08 | % 185.98/127.08 |-The branch is then unsatisfiable % 186.08/127.08 |-Branch two: % 186.08/127.08 | (13538) all_394_0_1576 = 0 & mem(all_181_1_103, all_0_3_3) = 0 % 186.08/127.08 | % 186.08/127.08 | Applying alpha-rule on (13538) yields: % 186.08/127.08 | (13532) all_394_0_1576 = 0 % 186.08/127.08 | (399) mem(all_181_1_103, all_0_3_3) = 0 % 186.08/127.08 | % 186.08/127.08 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_181_1_103, all_0_3_3) = 0, yields: % 186.08/127.08 | (400) ? [v0] : ((v0 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (v0 = 0 & mem(all_181_1_103, all_0_6_6) = 0)) % 186.08/127.08 | % 186.08/127.08 | Instantiating (400) with all_434_0_1588 yields: % 186.08/127.08 | (13729) (all_434_0_1588 = 0 & mem(all_181_1_103, all_0_5_5) = 0) | (all_434_0_1588 = 0 & mem(all_181_1_103, all_0_6_6) = 0) % 186.08/127.08 | % 186.08/127.08 +-Applying beta-rule and splitting (13520), into two cases. % 186.08/127.08 |-Branch one: % 186.08/127.08 | (13543) all_402_0_1577 = 0 & mem(all_226_1_115, all_72_0_70) = 0 % 186.08/127.08 | % 186.08/127.08 | Applying alpha-rule on (13543) yields: % 186.08/127.08 | (13544) all_402_0_1577 = 0 % 186.08/127.08 | (500) mem(all_226_1_115, all_72_0_70) = 0 % 186.08/127.08 | % 186.08/127.08 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_226_1_115 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_226_1_115, all_72_0_70) = 0, yields: % 186.08/127.08 | (501) all_226_1_115 = all_0_3_3 % 186.08/127.08 | % 186.08/127.08 | From (501) and (286) follows: % 186.08/127.08 | (4145) mem(all_0_3_3, all_165_1_98) = all_226_0_114 % 186.08/127.08 | % 186.08/127.08 +-Applying beta-rule and splitting (13525), into two cases. % 186.08/127.08 |-Branch one: % 186.08/127.08 | (13555) all_410_0_1578 = 0 & mem(all_205_2_109, all_72_0_70) = 0 % 186.08/127.08 | % 186.08/127.08 | Applying alpha-rule on (13555) yields: % 186.08/127.08 | (13556) all_410_0_1578 = 0 % 186.08/127.08 | (1808) mem(all_205_2_109, all_72_0_70) = 0 % 186.08/127.08 | % 186.08/127.08 | Instantiating formula (97) with all_72_0_70, all_0_3_3, all_205_2_109 and discharging atoms s(all_0_3_3) = all_72_0_70, mem(all_205_2_109, all_72_0_70) = 0, yields: % 186.08/127.08 | (1809) all_205_2_109 = all_0_3_3 % 186.08/127.08 | % 186.08/127.08 | From (1809) and (275) follows: % 186.08/127.08 | (4150) mem(all_0_3_3, all_165_1_98) = 0 % 186.08/127.08 | % 186.08/127.08 | Instantiating formula (58) with all_0_3_3, all_165_1_98, 0, all_226_0_114 and discharging atoms mem(all_0_3_3, all_165_1_98) = all_226_0_114, mem(all_0_3_3, all_165_1_98) = 0, yields: % 186.08/127.09 | (2957) all_226_0_114 = 0 % 186.08/127.09 | % 186.08/127.09 | Equations (2957) can reduce 285 to: % 186.08/127.09 | (173) $false % 186.08/127.09 | % 186.08/127.09 |-The branch is then unsatisfiable % 186.08/127.09 |-Branch two: % 186.08/127.09 | (13562) all_410_0_1578 = 0 & mem(all_205_2_109, all_0_3_3) = 0 % 186.08/127.09 | % 186.08/127.09 | Applying alpha-rule on (13562) yields: % 186.08/127.09 | (13556) all_410_0_1578 = 0 % 186.08/127.09 | (1815) mem(all_205_2_109, all_0_3_3) = 0 % 186.08/127.09 | % 186.08/127.09 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_205_2_109, all_0_3_3) = 0, yields: % 186.08/127.09 | (1816) ? [v0] : ((v0 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (v0 = 0 & mem(all_205_2_109, all_0_6_6) = 0)) % 186.08/127.09 | % 186.08/127.09 | Instantiating (1816) with all_453_0_1589 yields: % 186.08/127.09 | (13746) (all_453_0_1589 = 0 & mem(all_205_2_109, all_0_5_5) = 0) | (all_453_0_1589 = 0 & mem(all_205_2_109, all_0_6_6) = 0) % 186.08/127.09 | % 186.08/127.09 +-Applying beta-rule and splitting (13633), into two cases. % 186.08/127.09 |-Branch one: % 186.08/127.09 | (13663) all_426_0_1584 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 186.08/127.09 | % 186.08/127.09 | Applying alpha-rule on (13663) yields: % 186.08/127.09 | (13664) all_426_0_1584 = 0 % 186.08/127.09 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 186.08/127.09 | % 186.08/127.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 186.08/127.09 | (405) all_135_1_90 = all_0_6_6 % 186.08/127.09 | % 186.08/127.09 | From (405) and (231) follows: % 186.08/127.09 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 186.08/127.09 | % 186.08/127.09 +-Applying beta-rule and splitting (13729), into two cases. % 186.08/127.09 |-Branch one: % 186.08/127.09 | (13752) all_434_0_1588 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 186.08/127.09 | % 186.08/127.09 | Applying alpha-rule on (13752) yields: % 186.08/127.09 | (13753) all_434_0_1588 = 0 % 186.08/127.09 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 186.08/127.09 | % 186.08/127.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 186.08/127.09 | (417) all_181_1_103 = all_0_6_6 % 186.08/127.09 | % 186.08/127.09 | From (417) and (260) follows: % 186.08/127.09 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 186.08/127.09 | % 186.08/127.09 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 186.08/127.09 | (261) all_135_0_89 = 0 % 186.08/127.09 | % 186.08/127.09 | Equations (261) can reduce 230 to: % 186.08/127.09 | (173) $false % 186.08/127.09 | % 186.08/127.09 |-The branch is then unsatisfiable % 186.08/127.09 |-Branch two: % 186.08/127.09 | (13759) all_434_0_1588 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 186.08/127.09 | % 186.08/127.09 | Applying alpha-rule on (13759) yields: % 186.08/127.09 | (13753) all_434_0_1588 = 0 % 186.08/127.09 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 186.08/127.09 | % 186.08/127.09 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 186.08/127.09 | (424) all_181_1_103 = all_0_9_9 % 186.08/127.09 | % 186.08/127.09 | From (424) and (259) follows: % 186.08/127.09 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 186.08/127.09 | % 186.08/127.09 +-Applying beta-rule and splitting (13746), into two cases. % 186.08/127.09 |-Branch one: % 186.08/127.09 | (13764) all_453_0_1589 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 186.08/127.09 | % 186.08/127.09 | Applying alpha-rule on (13764) yields: % 186.08/127.09 | (13765) all_453_0_1589 = 0 % 186.08/127.09 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 186.08/127.09 | % 186.08/127.09 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 186.08/127.09 | (1833) all_205_2_109 = all_0_6_6 % 186.08/127.09 | % 186.08/127.09 | From (1833) and (303) follows: % 186.08/127.09 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 186.08/127.09 | % 186.08/127.09 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 186.08/127.09 | (261) all_135_0_89 = 0 % 186.08/127.09 | % 186.08/127.09 | Equations (261) can reduce 230 to: % 186.08/127.09 | (173) $false % 186.08/127.09 | % 186.08/127.09 |-The branch is then unsatisfiable % 186.08/127.09 |-Branch two: % 186.08/127.09 | (13771) all_453_0_1589 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 186.08/127.09 | % 186.08/127.09 | Applying alpha-rule on (13771) yields: % 186.08/127.09 | (13765) all_453_0_1589 = 0 % 186.08/127.09 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 186.08/127.09 | % 186.08/127.09 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 186.08/127.09 | (1840) all_205_2_109 = all_0_9_9 % 186.08/127.09 | % 186.08/127.09 | From (1840) and (296) follows: % 186.08/127.09 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 186.08/127.09 | % 186.08/127.09 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 186.08/127.09 | (288) all_181_0_102 = 0 % 186.08/127.09 | % 186.08/127.09 | Equations (288) can reduce 258 to: % 186.08/127.09 | (173) $false % 186.08/127.09 | % 186.08/127.09 |-The branch is then unsatisfiable % 186.08/127.09 |-Branch two: % 186.08/127.10 | (13694) all_426_0_1584 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 186.08/127.10 | % 186.08/127.10 | Applying alpha-rule on (13694) yields: % 186.08/127.10 | (13664) all_426_0_1584 = 0 % 186.08/127.10 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 186.08/127.10 | % 186.08/127.10 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 186.08/127.10 | (412) all_135_1_90 = all_0_9_9 % 186.08/127.10 | % 186.08/127.10 | From (412) and (231) follows: % 186.08/127.10 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 186.08/127.10 | % 186.08/127.10 +-Applying beta-rule and splitting (13729), into two cases. % 186.08/127.10 |-Branch one: % 186.08/127.10 | (13752) all_434_0_1588 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 186.08/127.10 | % 186.08/127.10 | Applying alpha-rule on (13752) yields: % 186.08/127.10 | (13753) all_434_0_1588 = 0 % 186.08/127.10 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 186.08/127.10 | % 186.08/127.10 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 186.08/127.10 | (417) all_181_1_103 = all_0_6_6 % 186.08/127.10 | % 186.08/127.10 | From (417) and (259) follows: % 186.08/127.10 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 186.08/127.10 | % 186.08/127.10 +-Applying beta-rule and splitting (13746), into two cases. % 186.08/127.10 |-Branch one: % 186.08/127.10 | (13764) all_453_0_1589 = 0 & mem(all_205_2_109, all_0_5_5) = 0 % 186.08/127.10 | % 186.08/127.10 | Applying alpha-rule on (13764) yields: % 186.08/127.10 | (13765) all_453_0_1589 = 0 % 186.08/127.10 | (1832) mem(all_205_2_109, all_0_5_5) = 0 % 186.08/127.10 | % 186.08/127.10 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_205_2_109 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_205_2_109, all_0_5_5) = 0, yields: % 186.08/127.10 | (1833) all_205_2_109 = all_0_6_6 % 186.08/127.10 | % 186.08/127.10 | From (1833) and (296) follows: % 186.08/127.10 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 186.08/127.10 | % 186.08/127.10 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 186.08/127.10 | (288) all_181_0_102 = 0 % 186.08/127.10 | % 186.08/127.10 | Equations (288) can reduce 258 to: % 186.08/127.10 | (173) $false % 186.08/127.10 | % 186.08/127.10 |-The branch is then unsatisfiable % 186.08/127.10 |-Branch two: % 186.08/127.10 | (13771) all_453_0_1589 = 0 & mem(all_205_2_109, all_0_6_6) = 0 % 186.08/127.10 | % 186.08/127.10 | Applying alpha-rule on (13771) yields: % 186.08/127.10 | (13765) all_453_0_1589 = 0 % 186.08/127.10 | (1839) mem(all_205_2_109, all_0_6_6) = 0 % 186.08/127.10 | % 186.08/127.10 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_205_2_109 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_205_2_109, all_0_6_6) = 0, yields: % 186.08/127.10 | (1840) all_205_2_109 = all_0_9_9 % 186.08/127.10 | % 186.08/127.10 | From (1840) and (303) follows: % 186.08/127.10 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 186.08/127.10 | % 186.08/127.10 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 186.08/127.10 | (261) all_135_0_89 = 0 % 186.08/127.10 | % 186.08/127.10 | Equations (261) can reduce 230 to: % 186.08/127.10 | (173) $false % 186.08/127.10 | % 186.08/127.10 |-The branch is then unsatisfiable % 186.08/127.10 |-Branch two: % 186.08/127.10 | (13759) all_434_0_1588 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 186.08/127.10 | % 186.08/127.10 | Applying alpha-rule on (13759) yields: % 186.08/127.10 | (13753) all_434_0_1588 = 0 % 186.08/127.10 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 186.08/127.10 | % 186.08/127.10 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 186.08/127.10 | (424) all_181_1_103 = all_0_9_9 % 186.08/127.10 | % 186.08/127.10 | From (424) and (260) follows: % 186.08/127.10 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 186.08/127.10 | % 186.08/127.10 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 186.08/127.10 | (261) all_135_0_89 = 0 % 186.08/127.10 | % 186.08/127.10 | Equations (261) can reduce 230 to: % 186.08/127.10 | (173) $false % 186.08/127.10 | % 186.08/127.10 |-The branch is then unsatisfiable % 186.08/127.10 |-Branch two: % 186.08/127.10 | (13550) all_402_0_1577 = 0 & mem(all_226_1_115, all_0_3_3) = 0 % 186.08/127.10 | % 186.08/127.10 | Applying alpha-rule on (13550) yields: % 186.08/127.10 | (13544) all_402_0_1577 = 0 % 186.08/127.10 | (507) mem(all_226_1_115, all_0_3_3) = 0 % 186.08/127.10 | % 186.08/127.10 | Instantiating formula (69) with all_0_3_3, all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms u(all_0_6_6, all_0_5_5) = all_0_3_3, mem(all_226_1_115, all_0_3_3) = 0, yields: % 186.08/127.10 | (508) ? [v0] : ((v0 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (v0 = 0 & mem(all_226_1_115, all_0_6_6) = 0)) % 186.08/127.10 | % 186.08/127.10 | Instantiating (508) with all_442_0_1591 yields: % 186.08/127.11 | (13813) (all_442_0_1591 = 0 & mem(all_226_1_115, all_0_5_5) = 0) | (all_442_0_1591 = 0 & mem(all_226_1_115, all_0_6_6) = 0) % 186.08/127.11 | % 186.08/127.11 +-Applying beta-rule and splitting (13633), into two cases. % 186.08/127.11 |-Branch one: % 186.08/127.11 | (13663) all_426_0_1584 = 0 & mem(all_135_1_90, all_0_5_5) = 0 % 186.08/127.11 | % 186.08/127.11 | Applying alpha-rule on (13663) yields: % 186.08/127.11 | (13664) all_426_0_1584 = 0 % 186.08/127.11 | (404) mem(all_135_1_90, all_0_5_5) = 0 % 186.08/127.11 | % 186.08/127.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_135_1_90 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_135_1_90, all_0_5_5) = 0, yields: % 186.08/127.11 | (405) all_135_1_90 = all_0_6_6 % 186.08/127.11 | % 186.08/127.11 | From (405) and (231) follows: % 186.08/127.11 | (449) mem(all_0_6_6, all_99_1_80) = all_135_0_89 % 186.08/127.11 | % 186.08/127.11 +-Applying beta-rule and splitting (13729), into two cases. % 186.08/127.11 |-Branch one: % 186.08/127.11 | (13752) all_434_0_1588 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 186.08/127.11 | % 186.08/127.11 | Applying alpha-rule on (13752) yields: % 186.10/127.11 | (13753) all_434_0_1588 = 0 % 186.10/127.11 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 186.10/127.11 | % 186.10/127.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 186.10/127.11 | (417) all_181_1_103 = all_0_6_6 % 186.10/127.11 | % 186.10/127.11 | From (417) and (260) follows: % 186.10/127.11 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 186.10/127.11 | % 186.10/127.11 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 186.10/127.11 | (261) all_135_0_89 = 0 % 186.10/127.11 | % 186.10/127.11 | Equations (261) can reduce 230 to: % 186.10/127.11 | (173) $false % 186.10/127.11 | % 186.10/127.11 |-The branch is then unsatisfiable % 186.10/127.11 |-Branch two: % 186.10/127.11 | (13759) all_434_0_1588 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 186.10/127.11 | % 186.10/127.11 | Applying alpha-rule on (13759) yields: % 186.10/127.11 | (13753) all_434_0_1588 = 0 % 186.10/127.11 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 186.10/127.11 | % 186.10/127.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 186.10/127.11 | (424) all_181_1_103 = all_0_9_9 % 186.10/127.11 | % 186.10/127.11 | From (424) and (259) follows: % 186.10/127.11 | (653) mem(all_0_9_9, all_129_1_88) = all_181_0_102 % 186.10/127.11 | % 186.10/127.11 +-Applying beta-rule and splitting (13813), into two cases. % 186.10/127.11 |-Branch one: % 186.10/127.11 | (13831) all_442_0_1591 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 186.10/127.11 | % 186.10/127.11 | Applying alpha-rule on (13831) yields: % 186.10/127.11 | (13832) all_442_0_1591 = 0 % 186.10/127.11 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 186.10/127.11 | % 186.10/127.11 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 186.10/127.11 | (525) all_226_1_115 = all_0_6_6 % 186.10/127.11 | % 186.10/127.11 | From (525) and (295) follows: % 186.10/127.11 | (454) mem(all_0_6_6, all_99_1_80) = 0 % 186.10/127.11 | % 186.10/127.11 | Instantiating formula (58) with all_0_6_6, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_6_6, all_99_1_80) = all_135_0_89, mem(all_0_6_6, all_99_1_80) = 0, yields: % 186.10/127.11 | (261) all_135_0_89 = 0 % 186.10/127.11 | % 186.10/127.11 | Equations (261) can reduce 230 to: % 186.10/127.11 | (173) $false % 186.10/127.11 | % 186.10/127.11 |-The branch is then unsatisfiable % 186.10/127.11 |-Branch two: % 186.10/127.11 | (13838) all_442_0_1591 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 186.10/127.11 | % 186.10/127.11 | Applying alpha-rule on (13838) yields: % 186.10/127.11 | (13832) all_442_0_1591 = 0 % 186.10/127.11 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 186.10/127.11 | % 186.10/127.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 186.10/127.11 | (532) all_226_1_115 = all_0_9_9 % 186.10/127.11 | % 186.10/127.11 | From (532) and (287) follows: % 186.10/127.11 | (665) mem(all_0_9_9, all_129_1_88) = 0 % 186.10/127.11 | % 186.10/127.11 | Instantiating formula (58) with all_0_9_9, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_9_9, all_129_1_88) = all_181_0_102, mem(all_0_9_9, all_129_1_88) = 0, yields: % 186.10/127.11 | (288) all_181_0_102 = 0 % 186.10/127.11 | % 186.10/127.11 | Equations (288) can reduce 258 to: % 186.10/127.11 | (173) $false % 186.10/127.11 | % 186.10/127.11 |-The branch is then unsatisfiable % 186.10/127.11 |-Branch two: % 186.10/127.11 | (13694) all_426_0_1584 = 0 & mem(all_135_1_90, all_0_6_6) = 0 % 186.10/127.11 | % 186.10/127.11 | Applying alpha-rule on (13694) yields: % 186.10/127.11 | (13664) all_426_0_1584 = 0 % 186.10/127.11 | (411) mem(all_135_1_90, all_0_6_6) = 0 % 186.10/127.11 | % 186.10/127.11 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_135_1_90 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_135_1_90, all_0_6_6) = 0, yields: % 186.10/127.11 | (412) all_135_1_90 = all_0_9_9 % 186.10/127.11 | % 186.10/127.11 | From (412) and (231) follows: % 186.10/127.11 | (413) mem(all_0_9_9, all_99_1_80) = all_135_0_89 % 186.10/127.11 | % 186.10/127.11 +-Applying beta-rule and splitting (13729), into two cases. % 186.10/127.11 |-Branch one: % 186.10/127.11 | (13752) all_434_0_1588 = 0 & mem(all_181_1_103, all_0_5_5) = 0 % 186.10/127.11 | % 186.10/127.12 | Applying alpha-rule on (13752) yields: % 186.10/127.12 | (13753) all_434_0_1588 = 0 % 186.10/127.12 | (416) mem(all_181_1_103, all_0_5_5) = 0 % 186.10/127.12 | % 186.10/127.12 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_181_1_103 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_181_1_103, all_0_5_5) = 0, yields: % 186.10/127.12 | (417) all_181_1_103 = all_0_6_6 % 186.10/127.12 | % 186.10/127.12 | From (417) and (259) follows: % 186.10/127.12 | (701) mem(all_0_6_6, all_129_1_88) = all_181_0_102 % 186.10/127.12 | % 186.10/127.12 +-Applying beta-rule and splitting (13813), into two cases. % 186.10/127.12 |-Branch one: % 186.10/127.12 | (13831) all_442_0_1591 = 0 & mem(all_226_1_115, all_0_5_5) = 0 % 186.10/127.12 | % 186.10/127.12 | Applying alpha-rule on (13831) yields: % 186.10/127.12 | (13832) all_442_0_1591 = 0 % 186.10/127.12 | (524) mem(all_226_1_115, all_0_5_5) = 0 % 186.10/127.12 | % 186.10/127.12 | Instantiating formula (97) with all_0_5_5, all_0_6_6, all_226_1_115 and discharging atoms s(all_0_6_6) = all_0_5_5, mem(all_226_1_115, all_0_5_5) = 0, yields: % 186.10/127.12 | (525) all_226_1_115 = all_0_6_6 % 186.10/127.12 | % 186.10/127.12 | From (525) and (287) follows: % 186.10/127.12 | (706) mem(all_0_6_6, all_129_1_88) = 0 % 186.10/127.12 | % 186.10/127.12 | Instantiating formula (58) with all_0_6_6, all_129_1_88, 0, all_181_0_102 and discharging atoms mem(all_0_6_6, all_129_1_88) = all_181_0_102, mem(all_0_6_6, all_129_1_88) = 0, yields: % 186.10/127.12 | (288) all_181_0_102 = 0 % 186.10/127.12 | % 186.10/127.12 | Equations (288) can reduce 258 to: % 186.10/127.12 | (173) $false % 186.10/127.12 | % 186.10/127.12 |-The branch is then unsatisfiable % 186.10/127.12 |-Branch two: % 186.10/127.12 | (13838) all_442_0_1591 = 0 & mem(all_226_1_115, all_0_6_6) = 0 % 186.10/127.12 | % 186.10/127.12 | Applying alpha-rule on (13838) yields: % 186.10/127.12 | (13832) all_442_0_1591 = 0 % 186.10/127.12 | (531) mem(all_226_1_115, all_0_6_6) = 0 % 186.10/127.12 | % 186.10/127.12 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_226_1_115 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_226_1_115, all_0_6_6) = 0, yields: % 186.10/127.12 | (532) all_226_1_115 = all_0_9_9 % 186.10/127.12 | % 186.10/127.12 | From (532) and (295) follows: % 186.10/127.12 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 186.10/127.12 | % 186.10/127.12 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 186.10/127.12 | (261) all_135_0_89 = 0 % 186.10/127.12 | % 186.10/127.12 | Equations (261) can reduce 230 to: % 186.10/127.12 | (173) $false % 186.10/127.12 | % 186.10/127.12 |-The branch is then unsatisfiable % 186.10/127.12 |-Branch two: % 186.10/127.12 | (13759) all_434_0_1588 = 0 & mem(all_181_1_103, all_0_6_6) = 0 % 186.10/127.12 | % 186.10/127.12 | Applying alpha-rule on (13759) yields: % 186.10/127.12 | (13753) all_434_0_1588 = 0 % 186.10/127.12 | (423) mem(all_181_1_103, all_0_6_6) = 0 % 186.10/127.12 | % 186.10/127.12 | Instantiating formula (97) with all_0_6_6, all_0_9_9, all_181_1_103 and discharging atoms s(all_0_9_9) = all_0_6_6, mem(all_181_1_103, all_0_6_6) = 0, yields: % 186.10/127.12 | (424) all_181_1_103 = all_0_9_9 % 186.10/127.12 | % 186.10/127.12 | From (424) and (260) follows: % 186.10/127.12 | (425) mem(all_0_9_9, all_99_1_80) = 0 % 186.10/127.12 | % 186.10/127.12 | Instantiating formula (58) with all_0_9_9, all_99_1_80, 0, all_135_0_89 and discharging atoms mem(all_0_9_9, all_99_1_80) = all_135_0_89, mem(all_0_9_9, all_99_1_80) = 0, yields: % 186.10/127.12 | (261) all_135_0_89 = 0 % 186.10/127.12 | % 186.10/127.12 | Equations (261) can reduce 230 to: % 186.10/127.12 | (173) $false % 186.10/127.12 | % 186.10/127.12 |-The branch is then unsatisfiable % 186.10/127.12 |-Branch two: % 186.10/127.12 | (13876) all_370_0_1573 = 0 & mem(all_205_2_109, all_0_4_4) = 0 % 186.10/127.12 | % 186.10/127.12 | Applying alpha-rule on (13876) yields: % 186.10/127.12 | (13522) all_370_0_1573 = 0 % 186.10/127.12 | (1889) mem(all_205_2_109, all_0_4_4) = 0 % 186.10/127.12 | % 186.10/127.12 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_205_2_109 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_205_2_109, all_0_4_4) = 0, yields: % 186.10/127.12 | (1890) all_205_2_109 = all_0_5_5 % 186.10/127.12 | % 186.10/127.12 | From (1890) and (309) follows: % 186.10/127.12 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 186.10/127.12 | % 186.10/127.12 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 186.10/127.12 | (233) all_110_0_83 = 0 % 186.10/127.12 | % 186.10/127.12 | Equations (233) can reduce 209 to: % 186.10/127.12 | (173) $false % 186.10/127.12 | % 186.10/127.12 |-The branch is then unsatisfiable % 186.10/127.12 |-Branch two: % 186.10/127.12 | (13883) all_362_0_1572 = 0 & mem(all_226_1_115, all_0_4_4) = 0 % 186.10/127.12 | % 186.12/127.12 | Applying alpha-rule on (13883) yields: % 186.12/127.13 | (13517) all_362_0_1572 = 0 % 186.12/127.13 | (581) mem(all_226_1_115, all_0_4_4) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_226_1_115 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_226_1_115, all_0_4_4) = 0, yields: % 186.12/127.13 | (582) all_226_1_115 = all_0_5_5 % 186.12/127.13 | % 186.12/127.13 | From (582) and (302) follows: % 186.12/127.13 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 186.12/127.13 | (233) all_110_0_83 = 0 % 186.12/127.13 | % 186.12/127.13 | Equations (233) can reduce 209 to: % 186.12/127.13 | (173) $false % 186.12/127.13 | % 186.12/127.13 |-The branch is then unsatisfiable % 186.12/127.13 |-Branch two: % 186.12/127.13 | (13890) all_354_0_1571 = 0 & mem(all_181_1_103, all_0_4_4) = 0 % 186.12/127.13 | % 186.12/127.13 | Applying alpha-rule on (13890) yields: % 186.12/127.13 | (13512) all_354_0_1571 = 0 % 186.12/127.13 | (473) mem(all_181_1_103, all_0_4_4) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_181_1_103 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_181_1_103, all_0_4_4) = 0, yields: % 186.12/127.13 | (474) all_181_1_103 = all_0_5_5 % 186.12/127.13 | % 186.12/127.13 | From (474) and (269) follows: % 186.12/127.13 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 186.12/127.13 | (233) all_110_0_83 = 0 % 186.12/127.13 | % 186.12/127.13 | Equations (233) can reduce 209 to: % 186.12/127.13 | (173) $false % 186.12/127.13 | % 186.12/127.13 |-The branch is then unsatisfiable % 186.12/127.13 |-Branch two: % 186.12/127.13 | (13002) all_335_0_1380 = 0 & mem(all_135_1_90, all_0_4_4) = 0 % 186.12/127.13 | % 186.12/127.13 | Applying alpha-rule on (13002) yields: % 186.12/127.13 | (11748) all_335_0_1380 = 0 % 186.12/127.13 | (588) mem(all_135_1_90, all_0_4_4) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (97) with all_0_4_4, all_0_5_5, all_135_1_90 and discharging atoms s(all_0_5_5) = all_0_4_4, mem(all_135_1_90, all_0_4_4) = 0, yields: % 186.12/127.13 | (589) all_135_1_90 = all_0_5_5 % 186.12/127.13 | % 186.12/127.13 | From (589) and (232) follows: % 186.12/127.13 | (4423) mem(all_0_5_5, all_74_1_72) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (58) with all_0_5_5, all_74_1_72, 0, all_110_0_83 and discharging atoms mem(all_0_5_5, all_74_1_72) = all_110_0_83, mem(all_0_5_5, all_74_1_72) = 0, yields: % 186.12/127.13 | (233) all_110_0_83 = 0 % 186.12/127.13 | % 186.12/127.13 | Equations (233) can reduce 209 to: % 186.12/127.13 | (173) $false % 186.12/127.13 | % 186.12/127.13 |-The branch is then unsatisfiable % 186.12/127.13 |-Branch two: % 186.12/127.13 | (13465) all_321_0_1378 = 0 & mem(all_205_2_109, all_0_7_7) = 0 % 186.12/127.13 | % 186.12/127.13 | Applying alpha-rule on (13465) yields: % 186.12/127.13 | (11743) all_321_0_1378 = 0 % 186.12/127.13 | (2954) mem(all_205_2_109, all_0_7_7) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_205_2_109 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_205_2_109, all_0_7_7) = 0, yields: % 186.12/127.13 | (2955) all_205_2_109 = all_0_8_8 % 186.12/127.13 | % 186.12/127.13 | From (2955) and (315) follows: % 186.12/127.13 | (13469) mem(all_0_8_8, all_57_1_65) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (58) with all_0_8_8, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_8_8, all_57_1_65) = all_85_0_75, mem(all_0_8_8, all_57_1_65) = 0, yields: % 186.12/127.13 | (212) all_85_0_75 = 0 % 186.12/127.13 | % 186.12/127.13 | Equations (212) can reduce 181 to: % 186.12/127.13 | (173) $false % 186.12/127.13 | % 186.12/127.13 |-The branch is then unsatisfiable % 186.12/127.13 |-Branch two: % 186.12/127.13 | (13472) all_314_0_1377 = 0 & mem(all_226_1_115, all_0_7_7) = 0 % 186.12/127.13 | % 186.12/127.13 | Applying alpha-rule on (13472) yields: % 186.12/127.13 | (11738) all_314_0_1377 = 0 % 186.12/127.13 | (1646) mem(all_226_1_115, all_0_7_7) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_226_1_115 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_226_1_115, all_0_7_7) = 0, yields: % 186.12/127.13 | (1647) all_226_1_115 = all_0_8_8 % 186.12/127.13 | % 186.12/127.13 | From (1647) and (308) follows: % 186.12/127.13 | (13469) mem(all_0_8_8, all_57_1_65) = 0 % 186.12/127.13 | % 186.12/127.13 | Instantiating formula (58) with all_0_8_8, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_8_8, all_57_1_65) = all_85_0_75, mem(all_0_8_8, all_57_1_65) = 0, yields: % 186.12/127.13 | (212) all_85_0_75 = 0 % 186.12/127.13 | % 186.12/127.13 | Equations (212) can reduce 181 to: % 186.12/127.13 | (173) $false % 186.12/127.13 | % 186.12/127.13 |-The branch is then unsatisfiable % 186.12/127.13 |-Branch two: % 186.12/127.14 | (13479) all_295_0_1374 = 0 & mem(all_181_1_103, all_0_7_7) = 0 % 186.12/127.14 | % 186.12/127.14 | Applying alpha-rule on (13479) yields: % 186.12/127.14 | (11733) all_295_0_1374 = 0 % 186.12/127.14 | (2961) mem(all_181_1_103, all_0_7_7) = 0 % 186.12/127.14 | % 186.12/127.14 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_181_1_103 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_181_1_103, all_0_7_7) = 0, yields: % 186.12/127.14 | (2962) all_181_1_103 = all_0_8_8 % 186.12/127.14 | % 186.12/127.14 | From (2962) and (297) follows: % 186.12/127.14 | (13469) mem(all_0_8_8, all_57_1_65) = 0 % 186.12/127.14 | % 186.12/127.14 | Instantiating formula (58) with all_0_8_8, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_8_8, all_57_1_65) = all_85_0_75, mem(all_0_8_8, all_57_1_65) = 0, yields: % 186.12/127.14 | (212) all_85_0_75 = 0 % 186.12/127.14 | % 186.12/127.14 | Equations (212) can reduce 181 to: % 186.12/127.14 | (173) $false % 186.12/127.14 | % 186.12/127.14 |-The branch is then unsatisfiable % 186.12/127.14 |-Branch two: % 186.12/127.14 | (13925) all_258_0_1367 = 0 & mem(all_135_1_90, all_0_7_7) = 0 % 186.12/127.14 | % 186.12/127.14 | Applying alpha-rule on (13925) yields: % 186.12/127.14 | (11723) all_258_0_1367 = 0 % 186.12/127.14 | (5723) mem(all_135_1_90, all_0_7_7) = 0 % 186.12/127.14 | % 186.12/127.14 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_135_1_90 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_135_1_90, all_0_7_7) = 0, yields: % 186.12/127.14 | (5724) all_135_1_90 = all_0_8_8 % 186.12/127.14 | % 186.12/127.14 | From (5724) and (241) follows: % 186.12/127.14 | (13469) mem(all_0_8_8, all_57_1_65) = 0 % 186.12/127.14 | % 186.12/127.14 | Instantiating formula (58) with all_0_8_8, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_8_8, all_57_1_65) = all_85_0_75, mem(all_0_8_8, all_57_1_65) = 0, yields: % 186.12/127.14 | (212) all_85_0_75 = 0 % 186.12/127.14 | % 186.12/127.14 | Equations (212) can reduce 181 to: % 186.12/127.14 | (173) $false % 186.12/127.14 | % 186.12/127.14 |-The branch is then unsatisfiable % 186.12/127.14 |-Branch two: % 186.12/127.14 | (9455) all_162_0_95 = 0 & mem(all_110_1_84, all_0_7_7) = 0 % 186.12/127.14 | % 186.12/127.14 | Applying alpha-rule on (9455) yields: % 186.12/127.14 | (306) all_162_0_95 = 0 % 186.12/127.14 | (9457) mem(all_110_1_84, all_0_7_7) = 0 % 186.12/127.14 | % 186.12/127.14 | Instantiating formula (97) with all_0_7_7, all_0_8_8, all_110_1_84 and discharging atoms s(all_0_8_8) = all_0_7_7, mem(all_110_1_84, all_0_7_7) = 0, yields: % 186.12/127.14 | (9458) all_110_1_84 = all_0_8_8 % 186.12/127.14 | % 186.12/127.14 | From (9458) and (211) follows: % 186.12/127.14 | (13469) mem(all_0_8_8, all_57_1_65) = 0 % 186.12/127.14 | % 186.12/127.14 | Instantiating formula (58) with all_0_8_8, all_57_1_65, 0, all_85_0_75 and discharging atoms mem(all_0_8_8, all_57_1_65) = all_85_0_75, mem(all_0_8_8, all_57_1_65) = 0, yields: % 186.12/127.14 | (212) all_85_0_75 = 0 % 186.12/127.14 | % 186.12/127.14 | Equations (212) can reduce 181 to: % 186.12/127.14 | (173) $false % 186.12/127.14 | % 186.12/127.14 |-The branch is then unsatisfiable % 186.12/127.14 % SZS output end Proof for theBenchmark % 186.12/127.14 % 186.12/127.14 126552ms %------------------------------------------------------------------------------